Suppose earth stopped rotating. Then, weight a body will

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7.Gravitation

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Suppose the earth stopped rotating. Then, the weight a body will

A

Increase equally at all points

B

Decrease equally at all points

C

Increase at the equator

D

Increase at the poles

Solution

If $\mathrm{R}$ is the reaction $mg$ weight, $v$ speed of the earth, $r$ radius of the earth, then the centripetal force required is,

$\mathrm{mg}-\mathrm{R}=\frac{\mathrm{mv}^{2}}{\mathrm{r}}$ Or $\mathrm{R}=\mathrm{mg}-\frac{\mathrm{mv}^{2}}{\mathrm{r}}$

When the earth stops rotating, $v=0 .$ Hence, $\mathrm{R}$ increases, thereby increasing the weight at the equator.

Standard 11

Physics

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