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

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

Problem

The Moon’s mass is

\dfrac{1}{100}

that of Earth and its radius is

\dfrac14

that of Earth. Given

M_{E}=6.0\times10^{24}\,\text{kg}

and

R_{E}=6.4\times10^{6}\,\text{m}

, calculate: (i) the acceleration due to gravity on the Moon, (ii) the minimum initial vertical speed required for a ball to reach a height of

15\,\text{m}

when projected upward on the Moon.