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Freefall

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Page 1: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

Freefall

Page 2: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

Galileo increased the inclination of inclined planes. Steeper inclines gave greater accelerations. When the incline was vertical, acceleration was

max, same as that of the falling object. When air resistance was negligible, all objects

fell with the same unchanging acceleration.

Acceleration

Page 3: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

Falling under the influence of gravity only - with no air resistance

Freely falling objects on Earth accelerate at the rate of 10 m/s/s, i.e., 10 m/s2 (more precisely, 9.8 m/s2).

Free Fall

Page 4: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

The greater the mass of the object… the greater its force of attraction toward the

Earth. the smaller its tendency to move i.e., the greater

its inertia.

Free Fall

So, the acceleration is the same.

It is equal to the acceleration due to gravity: 10 m/s2

(precisely 9.8 m/s2).

Page 5: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

When acceleration is g—free fall Newton’s second law provides an

explanation for the equal accelerations of freely falling objects of various masses.

Acceleration is equal when air resistance is negligible.

Acceleration depends on force (weight) and inertia.

Free Fall

Page 6: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

The velocity acquired by an object starting from rest is

Free Fall—How Fast?

So, under free fall, when acceleration is 10 m/s2, the speed is• 10 m/s after 1 s.• 20 m/s after 2 s.• 30 m/s after 3 s.And so on.

Velocity acceleration x time

Page 7: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

The distance covered by an accelerating object starting from rest is

Free Fall—How Far?

So, under free fall, when acceleration is 10 m/s2, the distance is• 5 m after 1 s.• 20 m after 2 s.• 45 m after 3 s.And so on.

Distance (1/2) x acceleration x time x time

Page 8: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. also 40 m/s.B. 45 m/s. C. 50 m/s.D. None of the above.

At one instant, an object in free fall has a speed of 40 m/s. Its speed 1 second later is

Free FallCHECK YOUR NEIGHBOR

Page 9: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. also 40 m/s.B. 45 m/s. C. 50 m/s.D. None of the above.

Comment:We assume the object is falling downward.

At one instant, an object in free-fall has a speed of 40 m/s. Its speed 1 second later is

Free FallCHECK YOUR ANSWER

Page 10: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

Terminal speed occurs when acceleration terminates

(when air resistance equals weight and net force is zero).

Terminal velocity same as terminal speed, with direction

implied or specified.

Non-Free Fall

Page 11: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A skydiver jumps from a plane. Weight is the only force until air resistance

acts. As falling speed increases, air resistance on

diver builds up, net force is reduced, and acceleration becomes less.

When air resistance equals the diver’s weight, net force is zero and acceleration terminates.

Diver reaches terminal velocity, then continues the fall at constant speed.

Non-Free Fall—Example

Page 12: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough information.

As the skydiver falls faster and faster through the air, air resistance

Non-Free FallCHECK YOUR NEIGHBOR

Page 13: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough information.

As the skydiver falls faster and faster through the air, air resistance

Non-Free FallCHECK YOUR ANSWER

Page 14: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough information.

As the skydiver continues to fall faster and faster through the air, net force

Non-Free FallCHECK YOUR NEIGHBOR

Page 15: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough information.

As the skydiver continues to fall faster and faster through the air, net force

Non-Free FallCHECK YOUR ANSWER

Page 16: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough

information.

As the skydiver continues to fall faster and faster through the air, her acceleration

Non-Free FallCHECK YOUR NEIGHBOR

Page 17: Galileo increased the inclination of inclined planes.  Steeper inclines gave greater accelerations.  When the incline was vertical, acceleration was

A. increases.B. decreases. C. remains the same.D. Not enough information.

As the skydiver continues to fall faster and faster through the air, her acceleration

Non-Free FallCHECK YOUR ANSWER

CommentIf this question were asked first in the sequence of skydiver questions, many would answer it incorrectly. Would this have been you?