A spherical planet has mass M _ P and diameter D _ P . A particle… - Vidyadip

Question

A spherical planet has mass $M _{ P }$ and diameter $D _{ P }$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity, equal to whom?

✓

Answer

Force experience by the body is given by
$
\begin{aligned}
& F=\frac{G M_e m}{R^2}=\frac{G M_p m}{\left(D_p / 2\right)^2}=\frac{4 G M_p m}{D_p^2} \\
& \frac{F}{m}=\frac{4 G M_p}{D_p^2}
\end{aligned}
$

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