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Q.

A thin metal disc of radius 0.25 m and mass 2 kg starts from rest and rolls down an inclined plane. If its rotational kinetic energy is 4 J at the foot of the inclined plane, then its linear velocity at the same point is

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a

1.2 ms−1

b

22ms−1

c

20 ms−1

d

2 ms−1

answer is B.

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Detailed Solution

Here, r = 0.25 m and m = 2 kgRotational KE =12Iω2=12×12mr2ω2⇒ 4    =14mv2=14×2v2∴ v    =8=22ms−1
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A thin metal disc of radius 0.25 m and mass 2 kg starts from rest and rolls down an inclined plane. If its rotational kinetic energy is 4 J at the foot of the inclined plane, then its linear velocity at the same point is