Q.

When a solid sphere rolls without slipping on a surface, its rotational kinetic energy is 40J. Then its total kinetic energy is

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a

280J

b

70J

c

100J

d

140J

answer is C.

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Detailed Solution

We know that rotational K.E=(K2K2+R2) total energy
Total kinetic energy =(K2+R2K2) rotational K.E
For sphere K2=25R2  
Then, total K.E=(2/5R2+R22/5  R2)×40=72×40=140J  
So, the correct answer is 3

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