Question

objects with three very different sizes and weights are dropped off a tower on the moon. which factor of the objects will determine which hits the ground first?

1) size
2) weight
3) shape
4) none of these matter. with no air resistance, they all hit the ground at the same time.​

Answer 1

4) none of these matter. with no air resistance, they all hit the ground at the same time.​

Explanation:

The motion of the objects is a free fall motion, since the only force acting on them is gravity. Therefore, it is a uniformly accelerated motion with constant acceleration $g$ (acceleration of gravity) towards the ground, and so we can find the time of flight by using the suvat equation:

$s=ut+\frac{1}{2}at^2$

where

s is the vertical displacement (equal to height of the tower)

u = 0 is the initial velocity

t is the time

$a=g$ is the acceleration

Re-arranging the equation.

$t=\sqrt{\frac{2s}{g}}$

As we can see, the time of flight depends only on the height of the tower (s) and the acceleration due to gravity (g): therefore, the three objects reach the ground at the  same time.

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