Answer to Question #330448 in Mechanics | Relativity for Bogart

Question

A 15-kg rock is dropped from rest on the earth and reaches the ground in 1.75 s. When it is

dropped from the same height on Saturn’s satellite Enceladus, it reaches the ground in 18.6 s.

(a) What is the acceleration due to gravity on Enceladus? (b) How long will it take for the

rock to reach the ground on Earth if it was released 100 m above the Earth’s surface? (c) in

Enceladus?

Answer 1

a)

$h=\frac{g_0 t_0^2}2=15~m,$

$g=\frac{2h}{t^2}=0.087~\frac m{s^2},$

b)

$t_1=\sqrt{\frac{2h'}{g_0}}=4.5~s,$

c)

$t_2=\sqrt{\frac{2h'}{g}}=48~s.$