2-3 Falling Objects Gravity - the force of attraction between all matter. Gravity – one of the...

14
2-3 Falling Objects Gravity - the force of attraction between all matter. Gravity – one of the FOUR FUNDAMENTAL FORCES in nature. If there is NO AIR RESISTANCE , ALL objects, regardless of mass and size, will fall at the same constant acceleration . – called FREE FALL The Acceleration due to Gravity on earth is: a = g = -9.81 m/s/s H ammer vs Feather Galileo's Falling Objects off Leaning Tower of Pisa Galileo's Inclined Plane

Transcript of 2-3 Falling Objects Gravity - the force of attraction between all matter. Gravity – one of the...

Page 1: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

2-3 Falling Objects Gravity - the force of attraction between all matter.

Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.

If there is NO AIR RESISTANCE, ALL objects, regardless of mass and size, will fall at the

same constant acceleration. – called FREE FALL

The Acceleration due to Gravity on earth is: a = g = -9.81 m/s/s

a = g = -10 m/s2

Hammer vs Feather

Galileo's Falling Objects off Leaning Tower of PisaGalileo's Inclined Plane

Page 2: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

1. Why did the hammer and the falcon feather hit the ground at the same time on the Moon?

2. What would you predict if you dropped a hammer and a falcon feather on Earth? Would they hit the ground at the same time or at different times? Explain your reasoning.

3. If you couldn't go to the Moon, how could you create a situation on Earth to do this experiment?

Page 3: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

Freely Falling Objects

Displacement vs time graph

Page 4: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

Negative acceleration -10 m/s2

Velocity vs time graph

Page 5: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

∆y = vyi∆t + ½ g( ∆t )2

Equations: Distance traveled (∆y) by an object after a given amount of time (∆t)

Where initial velocity = 0 m/s

Then, ∆y = ½ g( ∆t )2

Page 6: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

Throwing up a ball:Velocity and Distance

Q: A ball is thrown straight upward and then returns to the Earth. Does the acceleration change during this motion?A: No

What is the acceleration?

-9.81 m/s2

-10/ms2 going up and coming down – g is a force pulling down towards the center of earth

What goes up must come down

Page 7: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

Throwing Up a Ball: Velocity VS. Time graph

Page 8: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 9: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 10: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 11: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 12: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 13: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

10Accel.

0(m/s2 )

-10 10Vel.

0(m/s)

-10

10

Disp.

(m)

0 Time (s)

Page 14: 2-3 Falling Objects  Gravity - the force of attraction between all matter.  Gravity – one of the FOUR FUNDAMENTAL FORCES in nature.  If there is NO.

IMPORTANT FORMULAS: See Ch 2 Outline for all formulas and don’t forget how we derived

formulas for time – total time that an object is in air … up and down … and just time an object is in air dropped from a set height.

∆y = vyi∆t + ½ g( ∆t )2

vyf = g ( ∆t )

y = yi + vi ∆t + ½ g( ∆t )2 ( if yi ≠ 0 )

vyf2 = 2 g( ∆y )