If a body of mass $2 k g$ requires a centripetal force of $10 N$ to keep it moving in a circle of radius $5 m$ , then find the speed at which the body is moving.

5 m / s

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10 m / s

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20 m / s

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50 m / s

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Solution

The correct option is A $5 m / s$
Given:
speed = $x m / s$
radius = $5 m$
mass = $2 k g$
Force = $10 N$ = $\frac{m v^{2}}{r}$
$\Rightarrow$ 10 = $\frac{2 v^{2}}{5}$
$\Rightarrow$ $v$ = 5 $m / s$

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