Question

A 15-kg rock is dropped from rest on the earth and reaches the ground in 1.75s. When it is dropped from the same height on Saturn’s moon Enceladus, it reaches the ground in 18.6s. What is the acceleration due to gravity on Enceladus?

Answer 1

The acceleration due to gravity on Enceladus is approximately 0.019 m/s².

Step-by-step explanation:

The acceleration due to gravity can be calculated by using the formula:

acceleration = 2 * height / time^2

On Earth, the rock takes 1.75 seconds to reach the ground, so the height can be calculated using the equation h = 1/2 * g * t^2 where g is the acceleration due to gravity on Earth.

On Enceladus, the rock takes 18.6 seconds to reach the ground. We can use the same equation to calculate the height on Enceladus, but this time the acceleration due to gravity on Enceladus is unknown. Setting up two equations, we can solve for the acceleration due to gravity on Enceladus.

The acceleration due to gravity on Enceladus is approximately 0.019 m/s².