MHT CET 2024 Physics question
A body of mass m slides down an incline and reaches the bottom with a velocity V. if the same mass were in the form of a disc which rolls down this incline, the velocity of the disc at bottom would have been
Answer: (D)
Solution
For the sliding body (smooth incline, height h) energy conservation gives , so . For the rolling disc, with and , so mgh=\tfrac12 mv^2+\tfrac14 mv^2=\tfrac34 mv^2, giving
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