The Moon’s mass is of Earth’s mass and its radius is of Earth’s radius

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

The Moon’s mass is

\dfrac{1}{100}

of Earth’s mass and its radius is

\dfrac{1}{4}

of Earth’s radius. What initial upward speed is required for a ball to rise to a height of

20\,\text{m}

on the Moon? (Use

g_{\text{Earth}} = 9.8\,\text{m/s}^2

; neglect air resistance.) (a)

20\text{ m/s}

(b)

4.0\text{ m/s}

(c)

8.0\text{ m/s}

(d)

5.6\text{ m/s}