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A ring and a disc roll on the horizontal...

A ring and a disc roll on the horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is 4 J then total kinetic energy of the disc is

A

3 J

B

4 J

C

5 J

D

6 J

Text Solution

Verified by Experts

The correct Answer is:
A

Total K.E. of the Rolling disc `=(3)/(4)mv^(2)`
and the total K.E. of the Rolling ring `(K_(2))=mv^(2)`
and the total K.E. of the Rolling ring `(K_(2)=mv^(2)`
`therefore K_(1)=(3)/(4)mv^(2)=(3)/(4)" (Total K.E. of the ring)"`
`=(3)/(4)xxK_(2)=(3)/(4)xx4=3J`
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