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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

Practice this Circular Motion question from Engineering Entrance Exam.

Question Details

Easy
Physics Circular Motion Engineering Entrance Exam
Question

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

Options
A

0.1 Joule

B

0.2 Joule

C

2.0 Joule

D

1.0 Joule

Correct
Solution

\(\frac{{m{v^2}}}{r} = 10N\) (given)

\( \Rightarrow m{v^2} = 10 \times r\) \( = 10 \times 0.2 = 2\)

Kinetic energy \(\frac{1}{2}m{v^2} = \frac{1}{2}(2) = 1J\)

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