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Gravity and free fall, Exams of Physics

A falling human has a terminal velocity of about 140 miles per hour (or about 60 m/s).

Typology: Exams

2021/2022

Uploaded on 09/12/2022

percyval
percyval 🇺🇸

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Gravity and

free fall

Physics terms

  • acceleration
  • free fall
  • gravity

An object is in free fall whenever it moves solely under the influence of gravity, regardless of its direction.

A ball falling down, with negligible air resistance

What is free fall?

A ball thrown up, with negligible air resistance

A ball launched at ANY angle, as long as there is negligible air resistance

The only difference is that you already know the acceleration because it is always 9.8 m/s 2 downward.

The free fall equations are identical to the equations for motion with constant acceleration:

Describe free fall with equations

Acceleration is always equal to -9.8 m/s 2 in free fall

If an object is dropped from rest then...

  • after 1 second its velocity is -10 m/s.
  • after 2 seconds its velocity is -20 m/s.
  • after 3 seconds its velocity is -30 m/s
  • after 4 seconds its velocity is -40 m/s. .... and so on....

REALLY?

Do falling objects REALLY keep moving faster and faster?

Gravity and free fall

Do falling objects REALLY keep moving faster and faster?

No! In real life there is air resistance.

As falling objects speed up, the force of air resistance increases.

When the air resistance gets as strong as the force of gravity, the falling object stops accelerating.

Gravity and free fall

Parachutes increase air resistance.

Opening a parachute changes the terminal velocity from a fast, deadly speed to a low, safe speed.

Terminal velocity

When did the parachute open?

A skydiving trip

A skydiving trip

What is happening to the acceleration during each of these time segments?

Free fall is NOT a good approximation for light objects, or an object with a large surface area compared to its weight (like a parachute).

When can motion be

treated as free fall?

Free fall is a very good approximation for solid, dense objects dropped from ten meters or so.

For these situations, air resistance can be ignored.

The symbol g is often used when the acceleration

of an object is due only to gravity.

When can motion be

treated as free fall?

  1. Define your coordinate system:
  • If you decide up is positive, g = -9.8 m/s 2
  • If you decide down is positive, g = +9.8 m/s 2

2) Write the equations of motion, substituting g for a.

  1. Eliminate any terms that are zero.

  2. Work out a solution strategy.

Solving free fall problems

Example free fall problem

From what height should you drop a ball if you want it to hit the ground in exactly 1.0 second?

Asked: x

Given: t = 1.0 s, g = -9.8 m/s 2

(assume v 0 = 0 m/s and x 0 = 0 m)

Equation:

Solve:

Example free fall problem

From what height should you drop a ball if you want it to hit the ground in exactly 1.0 second?

Asked: x

Given: t = 1.0 s, g = -9.8 m/s 2

(assume v 0 = 0 m/s and x 0 = 0 m)

Equation:

Solve: