A tunnel is dug along a diameter of the earth. The force on... | Physics | SolveeIt | Solveeit

Today, August 18

Question

A tunnel is dug along a diameter of the earth. The force on a particle of mass 'm' placed in the tunnel at a distance X from the center is

A

$\frac{GM_em}{R^3}x$

B

$\frac{GM_em}{R^2}x$

C

$\frac{GM_em}{R^3x}$

D

$\frac{GM_emR^3}{x}$

Answer

$\frac{GM_em}{R^3}x$

Explanation

Solution

$F = \frac{GM'm}{x^2}$ but $\frac{M'}{x'} = \frac{M}{R'}$