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A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :

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a

1.13x10−3J

b

6.25x10−4J

c

8.75x10−3J

d

8.75x10−4J

answer is D.

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Detailed Solution

K.E of the sphere = Translational K.E + Rotational K.E.⇒KE = 12mv21+K2R2 K= Radius of gyration⇒KE = 12×0.5×510021+25 = 354×10−4J = 8.75×10−4J

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A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :