A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by...

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A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by the automobile engine? 1 2 3 4 25% 25% 25% 25% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 20.8 kW 2. 30.3 kW 3. 41.7 kW 4. 52.4 kW

Transcript of A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by...

Page 1: A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by the automobile engine? 1234567891011121314151617181920.

A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by the automobile engine?

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1. 20.8 kW

2. 30.3 kW

3. 41.7 kW

4. 52.4 kW

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A bobsled makes a run down an ice track starting at 150 m vertical distance up the hill. If there is no friction, what is the velocity at the bottom of the hill?

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1. 27 m/s

2. 36 m/s

3. 45 m/s

4. 54 m/s

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A jet engine develops 105 N of thrust in moving an airplane forward at a speed of 900 km/hr. What is the power developed by the engine?

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1. 500 kW

2. 1 MW

3. 2.5 MW

4. 5 MW

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A speedboat requires 80 kW to move at a constant speed of 15 m/s. What is the resistive force of the water at this speed?

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1. 2667 N

2. 5333 N

3. 6500 N

4. 7711 N

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A pole vaulter clears 6 m. With what velocity does he strike the mat in the landing area?

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1. 2.7 m/s

2. 5.4 m/s

3. 10.8 m/s

4. 21.6 m/s

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A parachutist of mass 50 kg jumps out of an airplane at a height of 1000 m. The parachute deploys, and she lands on the ground with a velocity of 5 m/s. How much energy was lost to air friction during this jump?

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1. 49,375 J

2. 98,750 J

3. 197,500 J

4. 489,375 J

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Water flows over a section of Niagara Falls at a rate of 1.2 x 106 kg/s and falls 50 m. What is the power wasted by the waterfall?

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1. 588 MW

2. 294 MW

3. 147 MW

4. 60 MW

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A baseball outfielder throws a baseball of mass 0.15 kg at a speed of 40 m/s and initial angle of 30° . What is the kinetic energy of the baseball at the highest point of the trajectory? Ignore air friction.

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1. zero

2. 30 J

3. 90 J

4. 120 J

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A Russian weightlifter is able to lift 250 kg 2 m in 2 s. What is his power output?

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1. 500 W

2. 2.45 kW

3. 4.9 kW

4. 9.8 kW

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A worker pushes a 500 N weight wheelbarrow up a ramp 50.0 m in length and inclined at 20° with the horizontal. What potential energy change does the wheelbarrow experience?

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1. 1500 J

2. 3550 J

3. 4275 J

4. 8550 J

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A worker pushes a 500 N weight wheelbarrow to the top of a 50.0 m ramp, inclined at 20° with the horizontal, and leaves it unattended. The wheelbarrow is accidentally bumped causing it to slide back down the ramp during which a 80 N frictional force acts on it over the 50.0 m. What is the wheelbarrow's kinetic energy at the bottom of the ramp?

(g = 9.8 m/s2 )

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1. 4550 J

2. 6550 J

3. 8150 J

4. 13100 J

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What is the kinetic energy of a 0.135 kg baseball thrown at 40 m/s (90 mph)?

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1. 54 J

2. 87 J

3. 108 J

4. 216 J

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A 15.0 kg crate, initially at rest, slides down a ramp 2.0 m long and inclined at an angle of 20° with the horizontal. If there is no friction between ramp surface and crate, what is the kinetic energy of the crate at the bottom of the ramp? (g = 9.8 m/s2 )

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1. 221 J

2. 688 J

3. 10.2 J

4. 100 J

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A worker pushes a wheelbarrow with a force of 50 N over a level distance of 5 m. If a frictional force of 43 N acts on the wheelbarrow in a direction opposite to that of the worker, what net work is done on the wheelbarrow?

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1. 250 J

2. 215 J

3. 35 J

4. 10 J

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If during a given physical process the only force acting on an object is friction, which of the following must be assumed in regard to the object's kinetic energy?

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1. decreases

2. increases

3. remains constant

4. cannot tell from the information given

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As an object is lowered into a deep hole in the surface of the earth, which of the following must be assumed in regard to its potential energy?

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1. increase

2. decrease

3. remain constant

4. cannot tell from the information given

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When an object is dropped from a tower, what is the effect of the air resistance as it falls?

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1. does positive work

2. increases the object's kinetic energy

3. increases the object's potential energy

4. None of these choices are valid.

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The unit of work, joule, is dimensionally the same as which of the following?

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1. newton/second

2. newton/kilogram

3. newton-second

4. newton-meter

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The unit of power, watt, is dimensionally the same as which of the following?

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1. joule-second

2. joule/second

3. joule-meter

4. joule/meter

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The rate at which work is done is equivalent to which of the following?

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1. increase in potential energy

2. thermal energy

3. potential energy

4. power

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A worker pushes a wheelbarrow with a horizontal force of 50 N over a distance of 5 m. What work does the man do?

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1. 10 J

2. 1250 J

3. 250 J

4. 55 J

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A 40 N crate is pulled up a 5 m inclined plane at a constant velocity. If the plane is inclined at an angle of 37° to the horizontal and there exists a constant force of friction of 10 N between the crate and the surface, what is the net gain in potential energy by the crate in the process?

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1. 120 J

2. -120 J

3. 200 J

4. -200 J

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A 40 N crate starting at rest slides down a rough 6 m long ramp, inclined at 30° with the horizontal. The force of friction between crate and ramp is 6 N. What will be the velocity of the crate at the bottom of the incline?

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1. 1.6 m/s

2. 3.3 m/s

3. 4.5 m/s

4. 6.4 m/s

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Which of the following is an example of a non-conservative force?

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1. gravity

2. magnetism

3. Both magnetism and gravity

4. friction

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Which of the following is that form of energy associated with an object's motion?

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1. potential

2. thermal

3. bio-chemical

4. kinetic

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Which of the following is that form of energy associated with an object's location in a conservative force field?

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1. potential

2. thermal

3. bio-chemical

4. kinetic

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A 50 N crate is pulled up a 5 m inclined plane by a worker at constant velocity. If the plane is inclined at an angle of 37° to the horizontal and there exists a constant force of 10 N between the crate and the surface, what is the force applied by the worker?

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1. zero

2. 20 N

3. 30 N

4. 40 N

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A small wagon moving at constant velocity carries a 200 N crate 10 m across a level surface. What is the net work done in the process?

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1. zero

2. 1/20 J

3. 20 J

4. 2000 J

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The quantity of work equal to one joule is also equivalent to which of the following?

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1. watt

2. watt/s

3. watt x s

4. watt/s2

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A 3 kg object starting at rest falls to the ground from a height of 10 m. Just before hitting the earth what will be its kinetic energy? (g = 9.8 m/s2 and assume air resistance is negligible.)

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1. 98 J

2. 0.98 J

3. 29.4 J

4. 294 J

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An arrow, shot straight up from a crossbow has an initial velocity of 50 m/s. Ignore energy lost to air friction. How high will the arrow rise?

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1. 49 m

2. 62.4 m

3. 98 m

4. 127.5 m

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What is the minimum amount of energy required for an 80-kg climber carrying a 20-kg pack to climb Mt. Everest, 8850 m high?

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1. 8.67 mJ

2. 4.16 mJ

3. 2.47 mJ

4. 1.00 mJ

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A professional skier reaches a speed of 56 m/s on a 30° ski slope. Ignoring friction, what is the minimum distance along the slope the skier would have to travel, starting from rest?

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1. 110 m

2. 160 m

3. 320 m

4. 640 m

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A girl and her bicycle have a total mass of 40 kg. At the top of the hill her speed is 5 m/s. The hill is 10 m high and 100 m long. If the force of friction as she rides down the hill is 20 N, what is her speed at the bottom?

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1. 5 m/s

2. 10 m/s

3. 11 m/s

4. She stops before she reaches the bottom.

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Old Faithful geyser in Yellowstone Park shoots water more or less hourly to a height of 40 meters. With what velocity does the water leave the ground?

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1. 7.0 m/s

2. 14.0 m/s

3. 19.8 m/s

4. 28.0 m/s

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An 80,000 kg airliner is flying at 900 kilometers/hour at a height of 10 kilometers. What is its total energy (kinetic + potential)?

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1. 250 MJ

2. 478 MJ

3. 773 MJ

4. 10,340 MJ

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A 1200 kg automobile moving at 25 m/s has the brakes applied with a deceleration of 8 m/s2 . How far does the car travel before it stops?

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1. 39 m

2. 47 m

3. 55 m

4. 63 m

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A girl and her bicycle have a total mass of 40 kg. At the top of the hill her speed is 5 m/s and her speed doubles as she rides down the hill. The hill is 10 m high and 100 m long. How much kinetic energy and potential energy is lost to friction?

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1. 2420 J

2. 1500 J

3. 2000 J

4. 3920 J

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A 60 g golf ball is dropped from a height of 2 m and rebounds to 1.5 m. How much energy is lost?

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1. 0.29 J

2. 0.5 J

3. 0.88 J

4. 1 J

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A golf ball hits a wall and bounces back at 3/4 the original speed. What part of the original kinetic energy of the ball did it lose in the collision?

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1. 1/4

2. 3/8

3. 7/16

4. It did not lose kinetic energy.

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If both the mass and the velocity of a ball are tripled, the kinetic energy is increased by a factor of

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1. 3

2. 6

3. 9

4. 27

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A 2 kg ball which originally has zero kinetic and potential energy is dropped into a well which is 10 m deep. Just before the ball hits the bottom, the sum of its kinetic and potential energy is

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1. 0

2. 196 J

3. -196 J

4. 392 J

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A 2 kg ball which originally has zero potential and kinetic energy is dropped into a well which is 10 m deep. After the ball comes to a stop in the mud, the sum of its potential and kinetic energy is

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1. 0

2. 196 J

3. -196 J

4. 392 J

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A hill is 100 m long and makes an angle of 12° with the horizontal. As a 50 kg jogger runs up the hill, how much work does gravity do on the jogger?

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1. 49,000 J

2. 10,000 J

3. -10,000 J

4. zero

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Two blocks are released from the top of a building. One falls straight down while the other slides down a smooth ramp. If all friction is ignored, which one is moving faster when it reaches the bottom?

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1. The block that went straight down.

2. The block that went down the ramp.

3. They both will have the same speed.

4. Insufficient information to work the problem.

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A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, to what maximum angle will it move in the second half of its swing? (g = 9.8 m/s2 )

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1. 37°

2. 30°

3. 27°

4. 21°

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An automobile delivers 30 hp to its wheels when moving at a constant speed of 22 m/s. What is the resistance force on the automobile at this speed? (1 hp = 746 watts)

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1. 18,600 N

2. 410,000 N

3. 1,020 N

4. 848 N

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I use a rope to swing a 10 kg weight around my head. The rope is 2 m long and the tension in the rope is 20 N. In half a revolution how much work is done by the rope on the weight?

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1. 40 J

2. 126 J

3. 251 J

4. 0

Page 49: A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by the automobile engine? 1234567891011121314151617181920.

The work done by static friction is always

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1. positive

2. negative

3. along the surface

4. zero

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A simple pendulum, 2.0 m in length, is released with a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 1.2 m/s when at the release point, what is its speed at the bottom of the swing? (g = 9.8 m/s2 )

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1. 2.3 m/s

2. 2.6 m/s

3. 2.0 m/s

4. 0.5 m/s

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A horizontal force of 200 N is applied to a 55 kg cart across a 10 m level surface. If the cart accelerates at 2.0 m/s2 then what force of friction acts to retard the motion of the cart?

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1. 110 N

2. 90 N

3. 80 N

4. 70 N

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A baseball catcher puts on an exhibition by catching a 0.15 kg ball dropped from a helicopter at a height of 101 m. What is the speed of the ball just before it hits the catcher's glove 1.0 m above the ground? (g = 9.8 m/s2 and ignore air resistance)

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1. 44.3 m/s

2. 38.0 m/s

3. 31.3 m/s

4. 22.2 m/s

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A baseball catcher puts on an exhibition by catching a 0.15 kg ball dropped from a helicopter at a height of 100 m above the catcher. If the catcher "gives" with the ball for a distance of 0.75 m while catching it, what average force is exerted on the mitt by the ball? (g = 9.8 m/s2 )

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1. 78 N

2. 119 N

3. 196 N

4. 392 N

Page 54: A 1000 kg sportscar accelerates from zero to 25 m/s in 7.5 s. What is the average power delivered by the automobile engine? 1234567891011121314151617181920.

A horizontal force of 200 N is applied to move a 55 kg cart across a 10 m level surface. What work is done by the 200 N force?

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1. 4000 J

2. 5400 J

3. 2000 J

4. 2700 J

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A simple pendulum, 1.0 m in length, is released from rest when the support string is at an angle of 35° from the vertical. What is the speed of the suspended mass at the bottom of the swing? (ignore air resistance, g = 9.8 m/s2 )

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1. 0.67 m/s

2. 0.94 m/s

3. 1.33 m/s

4. 1.88 m/s

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A pile driver drives a post into the ground. The mass of the pile driver is 2500 kg and it is dropped through a height of 8 m on each stroke. If the resisting force of the ground is 4 x 106 N, how far is the post driven in on each stroke?

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1. 4.9 cm

2. 9.8 cm

3. 16.0 cm

4. 49.0 cm

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A 2000-kg ore car rolls 50 meters down a frictionless 10° incline. If there is a horizontal spring at the end of the incline, what spring constant is required to stop the ore car in a distance of 1 meter?

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1. 340.3 kN/m

2. 680.7 kN/m

3. 980.0 kN/m

4. 1960.0 kN/m

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An amount of work equal to 1 J is required to compress the spring in a spring-gun. To what height can this "gun" shoot a 20-gram marble?

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1. 5.1 m

2. 10.2 m

3. 15.3 m

4. 20.4 m

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A 60-kg woman runs up a flight of stairs having a rise of 4 meters in a time of 4.2 seconds. What average power did she supply?

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1. 380 W

2. 560 W

3. 616 W

4. 672 W

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A 15.0 kg crate, initially at rest, slides down a ramp 2.0 m long and inclined at an angle of 20° with the horizontal. If there is no friction between the ramp surface and crate, what is the velocity of the crate at the bottom of the ramp? (g = 9.8 m/s2 )

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1. 6.1 m/s

2. 3.7 m/s

3. 10.7 m/s

4. 8.3 m/s