Who Hits the Ground First? - Gravity Explained

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In summary, when two people of different weights jump off a building, they will both hit the ground at the same time on Earth due to air resistance. However, in an airless environment like the moon, they would have the same acceleration and hit the ground simultaneously. Air resistance plays a role in slowing down the fall, with a heavier person experiencing more resistance due to their larger profile. If air resistance is negligible, the acceleration due to gravity would be the same for both people, according to Newton's second law.
  • #1
khizman
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If two people - one weighing 10 stone and the other weighing 20 stone - both jump off a building who would hit the ground first?

I know they would land at the same time but why?:confused:
 
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  • #2
It all depends on the air resistence - if there is any.
If they jumped of a building on the moon, an airless environment, then they would both have the same acceleration and would hit the ground at the same time, regardless of their weights.

On the earth, where there is an atmosphere, then there would be air resistence, which would slow down the fall.

Air resistence would depend upon the profile, or outline shape of the falling bodies, as well as other factors. A grosser body would have a greater profile than a leaner body and so would have a greater amount of air resistence. The more resistence, the longer it would take to fall.
 
  • #3
If air resistance is negligible (such as for a short jump) the acceleration due to gravity of all things is the same. This comes from comparing two formulas. One is the simple formula for calculating weight (force of gravity) near the Earth's surface. The other formula is Newton's second law. Rearrange this second law formula to solve for acceleration.
 

1. What is gravity?

Gravity is a fundamental force of nature that causes objects with mass to be attracted to each other. It is responsible for keeping planets in orbit around the sun and for objects falling to the ground.

2. Why do objects fall to the ground?

Objects fall to the ground because of the force of gravity. The Earth's mass creates a gravitational pull that attracts objects towards its center. This force causes the objects to accelerate towards the ground at a rate of 9.8 meters per second squared.

3. How does gravity affect the motion of objects?

Gravity affects the motion of objects by causing them to accelerate towards each other. The strength of the gravitational force depends on the mass of the objects and the distance between them. Objects with larger masses will have a stronger gravitational pull on each other.

4. Does gravity affect all objects equally?

Yes, gravity affects all objects equally, regardless of their mass. However, objects with larger masses will have a stronger gravitational pull on other objects, causing them to accelerate at a faster rate towards each other.

5. Who hits the ground first - a heavier or lighter object?

In the absence of air resistance, both objects will hit the ground at the same time. This is known as the "Principle of Equivalence" and was famously demonstrated by Galileo's experiment with dropping objects of different masses from the Leaning Tower of Pisa. However, in the real world, air resistance can play a role in the speed at which objects fall, causing lighter objects to fall slower than heavier objects.

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