35 Graphing Motion - Central Bucks School District · Graphing Your Motion . Graphs made using a...

LabQuest

35

Physical Science with Vernier 35 - 1

Graphing Your Motion Graphs made using a Motion Detector can be used to study motion. A Motion Detector measures the distance to the nearest object in front of it by emitting and receiving pulses of ultrasound. A calculator can use distance and time measurements to calculate velocity. In this experiment, you will use a LabQuest and a Motion Detector to produce graphs of your own motion.

OBJECTIVES In this experiment, you will

• Use a LabQuest and a Motion Detector to measure distance and velocity. • Use a LabQuest to produce graphs of your motion. • Analyze and interpret graphs of your motion.

MATERIALS

LabQuest meter stick LabQuest App masking tape Vernier Motion Detector

PROCEDURE Part A Position 1. Find an open area at least 4 m long in front of a wall. Use short strips of masking tape on the

floor to mark distances of 1 m, 2 m, and 3 m from the wall. You will be measuring your position from the Motion Detector in your hands to the wall.

2. If your Motion Detector has a switch, set it to Normal. Connect the Motion Detector to DIG 1 of LabQuest and choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

LabQuest 35

35 - 2 Physical Science with Vernier

3. On the Meter screen, tap Length, then change the data-collection length to 10 seconds. Select OK.

4. Open the hinge on the Motion Detector. When you collect data, hold the Motion Detector so the round, metal detector is always pointed directly at the wall. Sometimes you will have to walk backwards.

5. Explore data collection for a position vs. time graph. a. Take a starting position one meter in front of the wall. b. Signal your partner to start data collection. c. When the fast clicking begins, walk to a distance of two meters and stop. d. After data collection is complete, a graph of position vs. time will be displayed. Discuss the

results with your partners. 6. Repeat Step 5 walking more quickly this time.

7. Match a position vs. time graph. a. Choose Motion Match ► New Position Match from the Analyze menu. A target graph will

be displayed for you to match. b. Examine the graph and plan what you will do to match it. c. Take your starting position in front of the Motion Detector. d. Have your partner start data collection. e. Move according to your plan. f. Examine the graph of the results. g. In Processing the Data (Part A), sketch a graph of your results in the space provided.

Important: Your sketch should show both the target line produced by LabQuest and the graph of your motion. Then, in the space provided, describe what you had to do to match the first graph.

h. If you would like to try matching the same graph, start data collection again when you are ready to stalk walking. If you are ready to match another graph, proceed to Step 8.

8. Repeat Step 7 so everyone in your group has a chance to match a position vs. time graph.

Note: When you choose Motion Match ► New Position Match again, a new target graph will be displayed.

PROCESSING THE DATA (PART A) 1. Describe the difference between the two lines on your graph made in Steps 5–6. Explain why

the lines are different.

2. How would the graph change if you walked toward the Motion Detector rather than away

from it? Test your answer using the Motion Detector.

Graphing Your Motion


3. What did you have to do to match the graph you were given in Step 7?

4. Sketch a position vs. time graph for a car that starts slowly, moves down the street, stops at a

stop sign, and then starts slowly again.

Part B Velocity 9. Choose Motion Match ► Remove Match from the Analyze menu. Change the y-axis to

velocity. To do this, tap the y-axis label and select Velocity.

10. Make a graph of your motion when you walk away from the detector with constant velocity. To do this, stand about 1 m from the wall. Have your lab partner start data collection, then walk slowly away from the Motion Detector. After data collection is complete, a graph of velocity vs. time will be displayed. Discuss the results with your partners.

11. Repeat Step 10 walking more quickly this time.

12. LabQuest can also generate random target velocity graphs for you to match. Choose Motion Match ► New Velocity Match from the Analyze menu to view a velocity target graph.

13. Write down how you would walk to produce this target graph. Sketch or print a copy of the graph.

14. To test your prediction, choose a starting position and stand at that point. Have your partner start data collection. When you hear the Motion Detector begin to click rapidly, walk in such a way that the graph of your motion matches the target graph on the screen. It will be more difficult to match the velocity graph than it was for the position graph.

15. If you were not successful and want to match the same target graph again, start data collection when you are ready to start walking. Repeat this process until your motion closely matches the graph on the screen. Print or sketch the graph with your best attempt.

16. Repeat Steps 12–15 so everyone in your group has a chance to match a velocity vs. time graph. Note: When you choose Motion Match ► New Velocity Match again, a new target graph will be displayed.

LabQuest 35


PROCESSING THE DATA (PART B) 5. Describe the difference between the two lines on the graph made in Step 10–11. Explain why

the lines are different.

6. What is the definition of velocity?

7. What did you have to do to match the graph you were given in Step 12? How well does your

graph agree with the graph provided?

Vel

ocity

Time 8. Sketch a velocity vs. time graph for a person who walks, stops for a few seconds, and then

starts to run.

Vel

ocity

Time

LabQuest

19

Earth Science with Vernier 19 - 1

Mapping the Ocean Floor Oceanographers, marine geologists, and archeologists use echo sounders to investigate objects below the surfaces of bodies of water. An echo sounder consists of a transducer that sends out and receives sound waves. A signal is sent out and bounces back from a submerged surface. Scientists use the speed of sound in water and the time it takes for the signal to bounce back to calculate the depth of the object. The deeper the object, the longer it takes for the sound to return. A map of the ocean floor is made by sending out a series of “pings” in a grid pattern and recording the depths. Echo sounders use different frequencies to map different things on the ocean floor. Sonar, which is short for sound navigation ranging, is the name given to this echo sounding system. It was invented during World War I to detect submarines. The Vernier Motion Detector works in a similar manner. In this activity, you will use a Motion Detector to map objects on a simulated ocean floor.


• Use a Motion Detector to measure distances. • Map simulated ocean floors.

MATERIALS LabQuest 1 m board LabQuest App masking tape Motion Detector 2 or more boxes

PRE-LAB QUESTIONS 1. What else can you think of that measures distance by sending out a sound signal?

2. What factors make it difficult to study the ocean floor directly?

LabQuest 19

19 - 2 Earth Science with Vernier

Figure 1 PROCEDURE Part I Ocean Floor 1 1. Prepare the Motion Detector for data collection.

a. Get the board that will act as the support for your Motion Detector. b. Tape or clamp the Motion Detector to one end of the board. Make sure that the round

screen of the Motion Detector is not covered and is pointing downward. c. Place the board with the Motion Detector flat on your table as shown in Figure 1.

2. Prepare the ocean floor for data collection.

a. Place the box on the floor underneath the Motion Detector. Note: The Motion Detector must be at least 40 cm from the top of the box.

b. Line up the Motion Detector so that when it is moved along the table edge it will pass over the box.

3. If your Motion Detector has a switch, set it to Normal. Connect the

Motion Detector to DIG 1 of LabQuest and choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

4. On the Meter screen, tap Rate. Change the data-collection rate to 4 samples/second and the data-collection length to 15 seconds.

5. Collect distance data. a. Move the board to position the Motion Detector to the left of the box. b. When everything is ready, start data collection. Then, slowly slide the board across the

tabletop so that the Motion Detector passes over and past the box. 6. Determine and record the distance to the floor.

a. Identify a flat portion of the graph that represents the floor. Tap and drag your stylus across the region that represents the floor to select the region.

b. Choose Statistics►Position from the Analyze menu. c. Record the mean (average) distance to the floor in meters. d. Choose Statistics►Position from the Analyze menu to turn off the statistics.

Mapping the Ocean Floor

Earth Science with Vernier 19 - 3

7. Determine and record the distance to the box. a. Identify the flat portion of the graph that represents the box. b. Tap and drag your stylus across the region that represents the box to select the region. c. Choose Statistics►Position from the Analyze menu. d. Record the mean (average) distance to the box in meters.

8. Sketch and label your graph.

Part II Ocean Floor 2 9. Prepare Ocean Floor 2.

a. Set up two boxes in the shape of steps. The tallest box must be at least 40 cm from the Motion Detector.

b. Repeat Steps 5–8. Be sure to record all three distances. Part III Hidden Ocean Floor

10. Your teacher will have a hidden ocean floor for you to measure. Repeat Steps 5–8 for the concealed object or objects

Graph Sketches

Ocean Floor 1 Ocean Floor 2 Hidden Ocean Floor

DATA Distance to

floor (m) Distance to

box (m) Box height

(m)

Ocean floor 1 single box

Ocean floor 2 box 1

Ocean floor 2 box 2

Hidden ocean floor box 1

Hidden ocean floor box 2

Hidden ocean floor box 3 (if detected)

LabQuest 19

19 - 4 Earth Science with Vernier

PROCESSING THE DATA 1. In the space provided in the data table above, find the height of each box. Do this by

subtracting the distance to the box from the distance to the floor.

2. Which was your best result? Why do you think it was better than your other results?

3. How did the shape of your graph compare to the actual object(s) in each case? Explain.

EXTENSIONS 1. Try other hidden ocean-floor arrangements.

2. Research the sonar process and compare it to what you did in this activity.

LESSON PLAN: How Does Sonar Work? Mapping the Ocean Floor

DEVELOPED BY: Kenneth A. Nagel, Apex High School, Academy of Information Technology, Apex NC,

2011 Naval Historical Foundation Teacher Fellowship

ACTIVITY NAME: Ocean Floor Mapping Worksheet

OBJECTIVE: Provide students a basic understanding of how sonar (SOund NAvigation and Ranging) is

used to map the ocean floor. Students use a simple calculation to determine the depth of the ocean

floor at 15 points from Miami Beach eastward to the wreck of the SS Sapona in the Bahama Islands. This

is a total distance of 53 miles.

MATERIALS:

Data Map with sonar duration times listed (last page)

Graph Paper (following page).

INSTRUCTIONS: Ocean Floor Mapping Worksheet

In 1926, the SS Sapona, a ship used to transport alcohol during prohibition, ran aground during a hurricane. Today the ship sits almost 54 miles from the beaches of Miami, yet even at this distance the water is so shallow that much of Sapona’s remains are well above the surface. You can actually see the remains of the ship on Google Earth at these latitude and longitude coordinates: 25°39'2.22"N 79°17'36.17"W. How is it that fifty-four miles out from the beach this ship is sitting in such shallow water? How deep is the water where the ship lies if it can still be seen above the waves? Does the water stay shallow all the way from Miami Beach to the wreck? With sonar sounding data it’s possible for us to sketch a profile of what the ocean floor looks like between Key Biscayne Beach and the wreck of the Sapona. The map on the following page shows the Atlantic Ocean from Miami Beach eastward to the Bahamas. Imagine, you are on a boat traveling out to scuba dive the wreck of the Sapona. Along the way the boat you are traveling on is collecting sonar data. The sonar is emitting a soundwave and tells you how long it took the sound to travel to the bottom and bounce back. Using the times listed on the map, construct a cross-section showing the slope of the ocean. Remember, in saltwater sound travels at 5000 ft/sec.

Data Map:

The 17 positions on the map

shown here give the length of

time that a sonar pulse took to

travel to the ocean floor and

back to the sonar array onboard

your boat. Use the formula

discussed in the article to

determine the depth at each

location. Transfer the data to

the Ocean floor worksheet to

create an ocean floor profile.

Mapping the Ocean Floor Name: ______________________________________ Instructions and data sheet

Background:

The surface of the oceans covers an area of more than 12 million square km! Did you ever wonder what was below the surface of all that water? Many early explorers did, and they used several methods to try to determine the shape of the ocean floor. At one time, sailors tied weights to the end of ropes and lowered them to the ocean floor, marked the distance when the rope hit bottom, and then measured that distance. You can imagine what a slow process this was!

In the early 1900s, sonar was invented by a French scientist. He used this technology to get sound wave readings of the ocean floor. This was a great discovery because it allowed scientists to get faster and more accurate readings. A device called an “echo sounder” is simply aimed downward, at which point it gives off a sound signal. The sound signal travels to the ocean floor and bounces, or “echoes”, off the surface. The device picks up the echo and then computes the ocean depth at that point. To do this calculation yourself, all you need to know is the speed of sound in water (1,500 m/s), and the time it took for the sound signal to echo.

During this activity, you will use this method to construct a map for two different regions of the ocean floor.

Procedures:

Atlantic Profile:

1. Compute the Total Distance Traveled by the Sound by multiplying the Time for the Signal to Return by the Speed of Sound (1,500 m/s).

2. Record this distance on the Data Table on the back of this sheet. 3. Divide your Total Distance Traveled by 2 to get your Ocean Depth in meters. 4. Record this depth on the Data Table. 5. Plot the Distance from Beach (x-axis) and the Ocean Depth (y-axis) in meters using the Atlantic Profile graph

on the “Mapping the Ocean Floor Lab” handout. Sea level (Depth = 0 meters) is the line already shown on the graph.

6. Once the points are plotted, connect the points and shade in the profile of the ocean floor. 7. Label the following ocean floor features on your graph. Use page 48 and 49 as a reference.

Pacific Profile:

1. Using the Pacific Profile data on the “Mapping the Ocean Floor Lab” Lab Sheet Plot the Distance from Beach on the x-axis and the Ocean Depth on the y-axis. For this set of data, the depth has already been calculated for you.

2. Once the points are plotted, connect the points and shade in the profile of the ocean floor. 3. Label the following ocean floor features on your graph. Use page 48 and 49 as a reference.

4. This map shows both the Philippine Plate and Pacific Plate. Within the oceanic crust beneath the ocean floor, sketch what you think the subduction zone would look like. (Show one plate going under the other.)

5. In this activity you created two different ocean floor profiles. One major difference between the two

profiles is the scale of the distance from the shore. Even though both of your profile pictures cover the width of your paper, they do NOT represent the same distance. You need to get a sense of how each of the two profiles compare to each other. Determine how much of your Atlantic Profile would be “covered” by the Pacific Profile. To do this, draw a bracket [bracket] at the bottom of your Atlantic profile representing the width of your Pacific Profile.

* When finished graphing both profiles, answer all discussion questions on the back of your * graph sheet using complete sentences.

Continental Shelf, Continental Slope, Continental Rise, Island, Mid-ocean ridge, Abyssal Plain

Continental Slope (directly next to shore), Seamount, Trench (the deep one)

Data for Atlantic Profile Data for Pacific Profile

Distance from Beach Time for Signal Total Distance Ocean Depth (meters) Distance from Ocean Depth

(km) to Return Traveled (meters) (Total Distance ÷ 2) Beach (km) (meters)

(seconds) (Time x 1500 m/s)

50 0.4 0 400 above level

100 0.5 8 1300

150 0.6 16 1000

200 0.7 24 30

250 1.1 32 1000

300 1.4 40 3000

350 2.1 48 4000

400 3.2 56 4500

450 3.7 64 3000

500 4.3 72 2800

550 4.9 80 3000

600 5.4 88 2800

650 5.4 96 3700

700 5.7 104 3000

750 5.7 112 3200

800 5.6 120 2500

850 5.7 128 3100

900 5.7 136 4200

950 5.7 144 7100

1000 5.7 152 8200

1050 5.4

160 11000

1100 5.4

168 10000

1150 4.3

176 9000

1200 3.2

184 8000

1250 0.7

192 7000

1300 above sea level

200 6000

1350 1.4

208 5100

1400 4.3

216 4500

1450 4.9

224 4200

1500 4.9

232 3840

1550 5.4 240 3800

1600 5.7 1650 5.7 1700 5.6 1750 5.7 1800 5.4 1850 5.4 1900 4.9 1950 4 2000 3.7 2050 4.6 2100 6 2150 4.3 2200 3.2 2250 4.3 2300 5.4 2350 6 2400 6

Name: __________________________________________________________________ Period: _________ Date: _____________

Mapping the Ocean Floor Lab

Atlantic Profile

Pacific Profile

Discussion Questions: Answer in complete sentences.

Atlantic Profile

1. What two pieces of information are needed to determine ocean depth?

2. Describe how a seamount could become an island. ALSO, describe how an island could become a seamount.

3. The island on your graph for the Atlantic Profile is part of a chain of islands located near 26°W and 38°N latitude. Use a globe or world map to locate and identify this island chain.

4. For the first data table, once you have found the total distance traveled by the sound wave, why is it necessary to divide it by 2? (*HINT: Think about where the sound signal has to travel.)

Pacific Profile

5. This profile shows the seafloor at the Marianas Trench, the deepest known point in any of the world’s oceans. Describe what’s happening in this area to create this trench. Please write the name of the trench on your profile.

6. Explain how the seamount (between 72km and 128 km from the shore) may have formed near this trench. Comparing the two:

7. How do the two profiles differ from one another? Be descriptive of each region of ocean floor.

8. In oceanography, the edges of the continents are referred to as “margins”. Depending on what type of plate activity is occurring, a margin may be considered an active margin or a passive margin. Based on your knowledge of plate tectonics, which of the two profiles would you consider to be “active”, and which would be “passive”. Explain your reasoning in detail, referring to each profile. Then, label each profile as either “passive” or “active” on each graph.

LabQuest

23


Reflectivity of Light Light is reflected differently from various surfaces and colors. An understanding of these differences is useful in choosing colors and materials for clothing, in choosing colors for cars, and in city planning. Astronomers use reflectivity differences to help determine characteristics of planets. In this experiment, you will be measuring the percent reflectivity (albedo) of various colors. You will measure reflection values from paper of various colors using a Light Sensor and then compare these values to the reflection value of aluminum foil. The aluminum foil will arbitrarily be assigned a reflectivity of 100 percent. You will then calculate percent reflectivity using the relationship

% Reflectivity = value for paper

value for aluminum × 100 OBJECTIVES In this experiment, you will

• Use a LabQuest and a Light Sensor to measure reflected light. • Calculate percent reflectivity of various colors. • Make conclusions using the results of the experiment.

MATERIALS

LabQuest white paper LabQuest App black paper Light Sensor 2 other pieces of colored paper ring stand and utility clamp aluminum foil

Figure 1

LabQuest 23


PROCEDURE 1. If your Light Sensor has a switch, set it to 600 lux. Connect the sensor to LabQuest and

choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

2. Set up the mode. a. On the Meter screen, tap Mode. Change the mode to Selected Events. b. Select Average over 10 seconds and select OK.

3. Start data collection.

4. Use a utility clamp and ring stand to fasten the Light Sensor 5 cm from and perpendicular to a piece of colored paper as shown in Figure 1. The classroom lights should be on.

5. When the light reading displayed on the screen is stable, tap Keep. Note: LabQuest will be taking data for the next 10 seconds.

6. Obtain a second piece of colored paper. Repeat Steps 4–5. Continue with this method to collect and record readings for aluminum, black, white, and two other colors.

7. Stop data collection and tap Table to view the data. Record the reflection values in your data table.

DATA

Color Aluminum Black White ________ ________

Reflection Value ________ ________ ________ ________ ________

PROCESSING THE DATA

1. Calculate the percent reflectivity (albedo) of each color using the formula given in the introduction. Show your work and record the results in the table below.

Color Aluminum Black White ________ ________

Percent Reflectivity 100% ________ ________ ________ ________

Reflectivity of Light


2. Which color, other than aluminum, has the highest reflectivity?

3. Which color has the lowest reflectivity?

4. What materials might give a planet a high reflectivity or albedo? Explain.

5. Does the planet Earth have high reflectivity? Why?

EXTENSION 1. Design an experiment to determine if there is a relationship between reflected light and heat

absorbed by various colors or materials.

Name ____________________________________ Date __________________ Computer

25

Middle School Science with Vernier 25 - 1

Heart Rate and Body Position

Does the position of your body affect your heart rate? In this experiment, you will use a Heart Rate Monitor to measure your heart rate while sitting, lying, and standing. You will then use your results to answer the question.


• Use a Hand-Grip Heart Rate Monitor or Exercise Heart Rate Monitor to measure your heart rate while sitting, lying, and standing.

• Analyze the results of your experiment. • Compare your results with those of other students. • Answer the question posed in the introduction.

MATERIALS computer Vernier Hand-Grip Heart Rate Monitor or Vernier computer interface Vernier Exercise Heart Rate Monitor saline solution in dropper bottle (for use with Exercise HR Monitor)

PROCEDURE 1. Plug the receiver module of the Heart Rate Monitor into the Vernier computer interface.

2. Start the Vernier data-collection program and open the file “25 Heart Rate Position” from the Middle School Science with Vernier folder.

Using a Hand-Grip Heart Rate Monitor

Use the following instructions if you are using a Hand-Grip Heart Rate Monitor.

3. Stand facing your table or lab bench. Grasp the handles of the Hand-Grip Heart Rate Monitor your hands. The fingertips of each hand should be placed on the reference areas of the handles. The left hand grip and the receiver are both marked with an alignment arrow. When collecting data, be sure that the arrow labels on each of these devices are in alignment (see Figure 1). The reception range of the plug-in receiver is 80−100 cm, or about 3 feet.

Figure 1

Evalua

tion co

py

Heart Rate and Body Position Computer 25

25 - 2 Middle School Science with Vernier

4. Click to determine that the sensor is functioning correctly. There will be a 15 second delay while data are collected before the first point is plotted on the upper graph. Thereafter, a point will be plotted every 5 seconds. The readings should be consistent and within the normal range of the individual, usually between 55 and 90 beats per minute.

5. If the readings appear unreasonable, reposition your fingers and check the sensor and receiver alignment.

6. Once it is apparent that the sensor is functioning correctly, click and continue with Step 11.

Using an Exercise Heart Rate Monitor

Use the following instructions if you are using an Exercise Heart Rate Monitor.

7. Depending upon your size, select a small or large size elastic strap. Secure one of the plastic ends of the elastic strap to the transmitter belt. It is important that the strap provide a snug fit of the transmitter belt.

8. Wet each of the electrodes (the two textured oval areas on the underside of the transmitter belt) with 3 drops of saline solution.

9. Secure the transmitter belt against

the skin directly over the base of the rib cage. The POLAR logo on the front of the belt should be centered. Adjust the elastic strap to ensure a tight fit.

Figure 2

10. Take the receiver module of the Heart Rate Monitor in your right hand and have a seat well away from the computer monitor. Face away from the computer monitor and your classmates. Sit quietly. Remember that the receiver must be within 80 cm of the transmitter in the Heart Rate Monitor belt.

Part I Sitting Heart Rate

11. Once the subject has been seated quietly for about a minute, a partner should click to begin monitoring heart rate.

Part II Reclining Heart Rate

12. After 4 minutes of data collection have gone by, the subject should recline on a clean surface or table and facing away from the computer monitor and all classmates. Note: A partner should tell the subject when it is time to recline.

Part III Standing Heart Rate

13. After 8 minutes of data collection have gone by, the subject should stand facing away from the computer monitor and all classmates. A partner should again tell the subject when it is time to stand. Data collection will automatically stop after 12 minutes.

Name ______________________________________________ Date ___________________________


Part IV Recording Data

14. Determine the subject’s sitting heart rate.

a. Move the mouse pointer to the 2 minute line. b. Press the mouse button and hold it down as you drag across the graph to the 4 minute line

to select this part of the graph. c. Click the Statistics button,. Record the Mean (average) sitting heart rate (in bpm).

15. Determine the subject’s reclining heart rate.

a. Move the mouse pointer to the 6 minute line. b. Press the mouse button and hold it down as you drag across the graph to the 8-minute line

to select this part of the graph. c. Click the Statistics button, . Record the Mean (average) reclining heart rate (in bpm).

16. Determine the subject’s standing heart rate.

a. Move the mouse pointer to the 10 minute line. b. Press the mouse button and hold it down as you drag across the graph to the 12-minute

line to select this part of the graph. c. Click the Statistics button, . Record the Mean (average) standing heart rate (in bpm). d. Close all of the Statistics boxes.

17. Print copies of the graph as directed by your teacher.

18. Repeat Steps 3–17 with other members of the team serving as subjects.

Heart Rate and Body Position Computer 25


DATA

Subject’s name

Sitting heart rate (beats/min)

Reclining heart rate (beats/min)

Standing heart rate (beats/min)

Difference between sitting and reclining heart rates (beats/min)

Difference between standing and sitting heart rates (beats/min)

Difference between standing and reclining heart rates (beats/min)

PROCESSING THE DATA 1. In the space provided in the data table, subtract to calculate the difference between the sitting

and reclining heart rates for each subject.

2. Subtract to find the difference between the standing and sitting heart rates for each subject.

3. Subtract to find the difference between the standing and reclining heart rates for each subject.

4. Does the position of your body affect your heart rate?

5. Compare your results with those of other students.

6. Try to explain the results of the experiment.

EXTENSION 1. Measure your heart rate while standing on your head. Compare the results with your other

results.

Vernier Lab Safety Instructions Disclaimer

THIS IS AN EVALUATION COPY OF THE VERNIER STUDENT LAB. This copy does not include:

Safety information Essential instructor background information Directions for preparing solutions Important tips for successfully doing these labs

The complete Middle School Science with Vernier lab manual includes 38 labs and essential teacher information. The full lab book is available for purchase at: http://www.vernier.com/cmat/msv.html

Vernier Software & Technology

13979 S.W. Millikan Way • Beaverton, OR 97005-2886 Toll Free (888) 837-6437 • (503) 277-2299 • FAX (503) 277-2440

[email protected] • www.vernier.com

LabQuest

22


An Inclined Plane An inclined plane is a slanted surface used to raise objects. The sloping floor of a theater, a road over a mountain, and a ramp into a building are examples of inclined planes. In this experiment, you will use a Force Sensor to measure the force needed to lift an object and the force needed to pull the same object up an inclined plane. You will then calculate and compare work done in raising the object to the same height by lifting it and pulling it up an inclined plane.


• Use a LabQuest and a Force Sensor to measure force. • Compare forces. • Calculate work and efficiency. • Make conclusions using the results of the experiment.

MATERIALS

LabQuest wooden block with a hook LabQuest App books Vernier Force Sensor metric ruler smooth board (at least 0.5 m long) paper clip

Dual-R

ange

Force Sensor

Figure 1: Using the Dual-Range Force Sensor

PROCEDURE Using an Inclined Plane 1. Set up a stack of books as shown in Figures 1.

2. Get a board and set up an inclined plane as shown in Figures 1. Measure the length of the board (in meters) and record this value in the data table. Measure and record the height of the inclined plane (in meters).

3. Get a wooden block with a hook on one end. Partly straighten a paper clip—leaving a hook at each end. Use the paper clip to attach the wooden block to your Force Sensor.

4. Set the range switch on the Force Sensor to 10 N. Connect the Force Sensor to LabQuest and choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

LabQuest 22


5. Slowly pull the wooden block up the inclined plane. The Force Sensor should be held parallel to, and about 2 cm above, the surface of the inclined plane, as shown in Figure 1. Once the wooden block is moving at a steady rate, start data collection. Continue pulling the wooden block until data collection is complete (5.0 seconds).

6. Determine the mean (average) force (in N). a. After data collection is complete, choose Statistics from the Analyze menu. b. Record the mean (average) force (in N).

Without an Inclined Plane

7. Now determine the force needed to lift the wooden block. a. Repeat Step 5 as you slowly lift the block the same height as the inclined plane. b. Repeat Step 6 and record the value of the force (in N) needed to lift the wooden block.

DATA TABLE Length of inclined plane __________ m Height of inclined plane __________ m Force (average) to pull the block up the inclined plane __________ N Force (average) to lift the block __________ N PROCESSING THE DATA 1. Does it take more or less force to move the block using the inclined plane? Explain.

2. A formula for calculating work is

W = F X d where W = work (in N•m), F = force (in N), and d = distance (in m). Use this formula to

calculate work done using the inclined plane. Here, F = the average force needed to pull the block up the inclined plane and d = the length of the inclined plane.

An Inclined Plane


3. Calculate work done in lifting the block. Here, F = the average force needed to lift the block and d = the height of the inclined plane.

4. Does it take more or less work to move the block using the inclined plane?

5. A formula for calculating the efficiency of a machine is

efficiency = work outputwork input × 100

Use this formula to calculate the efficiency of the inclined plane. Here, work output = the

work done lifting the block, and work input = the work done pulling the block up the inclined plane.

6. What causes the difference between the work needed to pull the block up the inclined plane

and the work to lift it to the same height? Discuss ways to decrease this difference.

EXTENSIONS 1. Study how changing the inclined plane slope changes force.

2. Design an experiment to study your answer to Question 6.

3. Determine the mechanical advantage of the inclined plane.

LabQuest

30


Gas Pressure and Volume In this simple experiment, you will use a Gas Pressure Sensor and a gas syringe to study the relationship between gas pressure and volume. Temperature and amount of gas will be kept constant. The results will be expressed in words, in a table, with a graph, and with a mathematical equation. These are four methods commonly used by scientists to communicate information.

This experiment is similar to one first done by Robert Boyle in 1662—without the use of a calculator, of course. The relationship you will discover is known as Boyle’s law.


• Use a LabQuest, a Gas Pressure Sensor, and a gas syringe to measure the pressure of an air sample at several different volumes.

• Make a table of the results. • Make a graph of the data. • Predict the pressure at other volumes. • Describe the relationship between gas pressure and volume with words and with a

mathematical equation. MATERIALS

LabQuest Vernier Gas Pressure Sensor LabQuest App 20 mL gas syringe

Figure 1

PROCEDURE 1. Prepare the Pressure Sensor and an air sample for data collection.

a. Connect the Pressure Sensor to LabQuest and choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

b. A 20 mL syringe is already connected to the sensor and set at the 10 mL mark for you.

LabQuest 30


2. Set up the mode. a. On the Meter screen, tap Mode. Change the mode to Events with Entry. b. Enter the Name (Volume) and Units (mL). Select OK.

3. You are now ready to collect pressure and volume data. It is easiest if one person takes care

of the gas syringe and another operates LabQuest. a. Start data collection. b. Move the piston so the front edge of the inside black ring is positioned at the 5.0 mL line

on the syringe (see Figure 2). Hold the piston firmly in this position until the pressure value displayed on the screen stabilizes.

c. Tap Keep and enter 5, the gas volume (in mL). Select OK to store this pressure-volume data pair.

Figure 2

d. To collect another data pair, move the syringe to 7.5 mL. When the pressure reading stabilizes, tap Keep and enter 7.5 as the volume. Select OK.

e. Continue with this procedure using volumes of 10.0, 12.5, 15.0, 17.5, and 20.0 mL. f. Stop data collection.

4. To examine the data pairs on the displayed graph, tap any data point. As you tap each data

point, the pressure and volume values are displayed to the right of the graph. Record the pressure (round to the nearest 0.1 kPa) and volume data values in your data table.

5. (optional) Print a graph of pressure vs. volume.

DATA Volume 5.0 7.5 10.0 12.5 15.0 17.5 20.0 (mL)

Pressure ______ ______ ______ ______ ______ ______ ___ __ (kPa)

Gas Pressure and Volume


PROCESSING THE DATA 1. See the data table and note the pressure when the volume is 10.0 mL, and when the volume is

5.0 mL. What happened to pressure when the volume was halved?

2. See the data table and note the pressure when the volume is 20.0 mL. Compare this pressure

to the pressure when the volume is 10.0 mL. What happened to the pressure when the volume was doubled?

3. From your data and graph, what is the pressure when the volume is 16 mL? 8 mL? How do

these values compare?

4. What would the pressure be at 40.0 mL? At 2.5 mL? Explain how you determined these

values.

5. What is the relationship between gas pressure and volume (Boyle’s law) in words?

LabQuest 30


6. Do gas pressure and volume vary directly or inversely? Explain.

7. Write an equation to express the relationship between gas pressure and volume. Use the

symbols P, V, and k.

EXTENSIONS 1. Repeat the experiment using a pure, noncorrosive gas, such as oxygen, butane, or carbon

dioxide. Compare the results with your results for air.

2. Plot P versus 1/V and discuss the graph. You can do this using graph paper, Vernier Logger Pro.

Name ____________________________________ Date __________________ LabQuest

22


A Water Field Study When finding water quality, there are many measurements that can be made. In this experiment, you will measure water temperature, conductivity, and pH. Water temperatures in streams can range from 0°C in the winter to above 30°C in the summer. Cooler water in a stream is generally considered healthier than warmer water. Problems generally occur when changes in water temperature are noted along one stream on the same day. Some sample data are listed in Table 1.

Table 1: Water Temperatures of Selected Rivers

Site Season Temperature (°C)

Season Temperature (°C)

Hudson River, Poughkeepsie, NY Winter 5 Summer 25

Mississippi River, Memphis, TN Winter 7 Summer 29

Rio Grande, El Paso, TX Winter 16 Summer 21

Missouri River, Garrison Dam, ND Winter 3 Summer 14

Willamette River, Portland, OR Winter 9 Summer 22 Conductivity values in lakes and streams are typically found to be in the range of 100 to 500 µS/cm. In areas of especially hard water or high salinity, conductivity values may be as high as 1000 µS/cm. Drinking water usually has conductivity in the 50 to 1000 µS/cm range. Some sample data are listed in Table 2.

Table 2: Conductivity in Selected Rivers

Site Season Conductivity (µS/cm)

Season Conductivity (µS/cm)

Hudson River, Poughkeepsie, NY Spring 180 Fall 238

Mississippi River, Memphis, TN Spring 266 Fall 440

Rio Grande, El Paso, TX Spring 1020 Fall 1220

Sacramento River, Keswick, CA Spring 142 Fall 120

Ohio River, Benwood, WV Spring 600 Fall 286 The best pH range for most aquatic organisms is pH 6.5 to 8.2. The pH values of streams and lakes are usually between pH 7 and 8. Hard water will often have pH values between 7.5 and 8.5.

When doing this experiment, you might choose to compare water quality at two or more points on the same stream, in two or more different streams or lakes, or in a lake and a stream that runs into it.

A Water Field Study LabQuest 22



• Use a Temperature Probe to measure water temperature. • Use a Conductivity Probe to measure the conductivity of water. • Use a pH Sensor to measure the pH of water. • Make visual observations at the test sites. • Compare water quality.

MATERIALS LabQuest Vernier pH Sensor LabQuest App colorless plastic bottle Temperature Probe plastic cup or beaker Vernier Conductivity Probe

Figure 1 PROCEDURE Part I Measuring Temperature 1. Connect the Temperature Probe to LabQuest and choose New from the File menu. If you

have an older sensor that does not auto-ID, manually set up the sensor.

2. Fill the plastic bottle with water taken below the water surface at a point one meter from the shore. CAUTION: Take all necessary precautions to ensure your safety!

Name _____________________________________________ Date __________________________


3. Measure the water temperature. a. Place the Temperature Probe into the sample. b. Gently move the probe in the water and note the temperature reading on the screen. c. When the temperature stops changing, record the reading in your data table. d. Disconnect the Temperature Probe.

Part II Measuring Conductivity 4. Set the Conductivity Probe on the 0–2000 µS/cm position. Connect the Conductivity Probe

to LabQuest and choose New from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

5. Measure the conductivity of the same water sample. a. Place the Conductivity Probe into the water. Briefly swirl the probe in the water. b. Once the conductivity reading is steady, record the value in your data table.

Part III Measuring pH 6. Disconnect the Conductivity Probe and connect the pH Sensor to LabQuest. Choose New

from the File menu. If you have an older sensor that does not auto-ID, manually set up the sensor.

7. Measure the pH of the same water sample. a. Remove the pH Sensor from its protective container and store the container safely aside. b. Rinse the pH Sensor using a plastic cup or beaker and water from the site. c. Place the pH Sensor into the water sample. Briefly swirl the pH Sensor in the water. d. Once the pH is steady, record the reading. Return the pH Sensor to its container.

8. Note and record the clarity (clearness) of the water sample.

9. Make and record other observations (concerning algae, plants, water “critters,” animals, flow rate, etc.) related to water quality at the site.

10. Repeat Steps 1–9 at one or more other sites.

A Water Field Study LabQuest 22


DATA AND OBSERVATIONS

Site

Temperature (°C)

Conductivity (µS/cm)

pH

Clarity

Other observations

PROCESSING THE DATA 1. How did the water quality at the different sites compare?

2. What differences did you find? Explain the differences.

3. What similarities did you find? Explain the similarities.

4. At which site was the water “best”? Explain why it was the best.

5. What new ideas for testing water quality did you come up with while doing this experiment?

Name _____________________________________________ Date __________________________


EXTENSIONS 1. Test water quality at the same site at different times.

2. Test the effects of rain or snow on water quality.

3. Test water quality at sites upstream and downstream from a wastewater treatment plant.

35 Graphing Motion - Central Bucks School District · Graphing Your Motion . Graphs made using a...

Documents

Transcript of 35 Graphing Motion - Central Bucks School District · Graphing Your Motion . Graphs made using a...