Question

On the Moon, the acceleration due to gravity is 1.62 m/s^2.How far would a 25 g rock fall from rest in 9.5 seconds if the only force acting on it was the gravitational force due to the Moon?

Answer 1

Distance, x = 73.10 meters

Step-by-step explanation:

It is given that,

Mass of the rock, m = 25 g = 0.025 kg

Acceleration due to gravity, a = 1.62 m/s²

We need to find the distance traveled by the rock when it falls from rest in 9.5 seconds if the only force acting on it was the gravitational force due to the Moon. It can be calculated using the second equation of motion i.e.

`x=ut+(1)/(2)at^2`

`x=0+(1)/(2)* 1.62\ m/s^2* (9.5\ s)^2`

x = 73.1025 meters

or

x = 73.10 meters

So, the distance traveled by the rock is 73.10 meters. Hence, this is the required solution.