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Gravitational Potential of a Solid Sphere

A diametrical...

Question

A diametrical tunnel is dug across earth. A ball is dropped into tunnel from one side. The velocity of the ball when it reaches other end is.

\sqrt{0.5 g R}

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\sqrt{g R}

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\sqrt{2 g R}

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zero

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Solution

The correct option is D zero
Body will be at rest since energy needs to be conserved. (Potential energy is constant on the surface.)

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Similar questions

= - \frac{3}{2} \frac{G M}{R}

A diametrical tunnel is dug across the earth. A ball is dropped into the tunnel from one side.

The velocity of the ball when it reaches the centre of the earth is

[Given: gravitational potential at the centre of earth = - \frac{3}{2} (\frac{G M}{R})

\frac{R}{2}

M

R

R / 2

O

C

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