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Question: A particle of mass M moves with constant speed along a circular path of radius r under the action of...

A particle of mass M moves with constant speed along a circular path of radius r under the action of a force F. Its speed is A particle of mass M moves with constant speed along a circular path of radius r under the action of a force F. Its speed is A particle of mass M moves with constant speed along a circular path of radius r under the action of a force F. Its speed is A particle of mass M moves with constant speed along a circular path of radius r under the action of a force F. Its speed is

A

rFm\sqrt{\frac{rF}{m}}

B

Fr\sqrt{\frac{F}{r}}

C

Fmr\sqrt{Fmr}

D

Fmr\sqrt{\frac{F}{mr}}

Answer

rFm\sqrt{\frac{rF}{m}}

Explanation

Solution

Centripetal force F=mv2rF = \frac{mv^{2}}{r} v=rFm\therefore v = \sqrt{\frac{rF}{m}}