Physics

Problem

Earth has mass

M

and radius

R

. The Moon has mass

\dfrac{1}{81}M

and radius

\dfrac{1}{4}R

. Identical stones are released from rest through a vertical distance of

45\,\text{m}

above the surfaces of Earth and Moon. What is the ratio of their fall times

t_{\text{Moon}}/t_{\text{Earth}}

? (Neglect atmospheric effects.) a)

0.41

6.00

2.45

2.25