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
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