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Q.

A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms−1 goes up an inclined plane which makes an angle of 300  with the horizontal plane, without slipping. How long will the sphere take to return to the starting point A?

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a

0.60 s

b

0.80 s

c

0.56 s

d

0.52 s

answer is C.

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Detailed Solution

a=gsinθ1+K2r2=10×121+25=257 ms-2 Time to go up is same as time to come down. t=2t1=2Va=2×1257=1425=0.56 s         V=0+at1
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