Question

To reach the same height on the moon as On the earth, a body must be projected up with

• A. Higher velocity on the moon
• B. Lower velocity on the moon.
• C. Same velocity on the moon and earth,
• D. It depends on the mass of the body.

Answer 1

Answer: (B)

Given $h_{\max }=\frac{u^2}{2g}$ is to be same on earth and moon, $\frac{u_m^2}{2g_m}=\frac{u_e^2}{2g_e}$ but $g_{\text{earth }}=6g_m$
$<br/>\begin{array}{l}<br/>\therefore \frac{u_m^2}{2g_m}=\frac{u_e^2}{2\left(6g_m\right)}\\ <br/>u_e=\sqrt{6}{u}_m\Rightarrow u_e>u_m<br/>\end{array}<br/>$