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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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