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Question

Physics Question on Motion in a plane

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

A

Frm\sqrt{\frac{Fr}{m}}

B

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

C

Fmr\sqrt{Fmr}

D

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

Answer

Frm\sqrt{\frac{Fr}{m}}

Explanation

Solution

Centripetal force (F)=mv2r\left(F\right)=\frac{mv^{2}}{r} v=Frm\therefore v=\sqrt{\frac{Fr}{m}}