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Question: A particle does uniform circular motion in a horizontal plane. The radius of the circle is 20 cm. Th...

A particle does uniform circular motion in a horizontal plane. The radius of the circle is 20 cm. The centripetal force acting on the particle is 10 N. It’s kinetic energy is

A

0.1 Joule

B

0.2 Joule

C

2.0 Joule

D

1.0 Joule

Answer

1.0 Joule

Explanation

Solution

mv2r=10N\frac{mv^{2}}{r} = 10N (given) ⇒ mv2=10×rmv^{2} = 10 \times r =10×0.2=2= 10 \times 0.2 = 2

Kinetic energy 12mv2=12(2)=1Joule.\frac{1}{2}mv^{2} = \frac{1}{2}(2) = 1Joule.