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Q.

A body of mass 2 kg is moving under the influence of central force whose potential energy is given by U = 2r3 J. If the body is moving in a circular orbit of 5 m, its energy will be

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a

625 J

b

500 J

c

250 J

d

125 J

answer is A.

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Detailed Solution

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F=−dudr=−6r2

mv2r=6r2

mv2=6r3

12mv2=3r3

E=U+K=2r3+3r3=5r3

E=5(5)3=5(125)=625 J

 

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