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A uniform hollow sphere of mass 400 g ro...

A uniform hollow sphere of mass 400 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 10 cm/s. Its kinetic energy is:

A

(a)`4 xx 10^(-3)J`

B

(b)`8 xx 10^(-3)J`

C

(c)`3.33 xx 10^(-3)J`

D

(d)`3.5 xx 10^(-3)J`

Text Solution

Verified by Experts

The correct Answer is:
C

m= 0.4 kg , v = 10 cm/s
KE is rolling `= 1/2 mv^2 + 1/2 I omega^2 = 1/2 mv^2 (1+(K^2)/(R^2)) = 3.33 xx 10^(-3)J`
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