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Q.

If mass, speed and radius of the circle of a particle moving uniformly in a circular path are all increased by 50%, the necessary force required to maintain the body moving in the circular path will increase by $p %$ . The value of p is:

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answer is 125.

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Detailed Solution

$F = \frac{m v^{2}}{r}, F' = \frac{(1.5 m) {(1.5 v)}^{2}}{(1.5 r)} = 2.25 \frac{m v^{2}}{r} = 2.25 F$

Therefore, F has to be increased by 125%.

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