STANDARD Physics Kinetic Energy of Rolling Objects MCQ Question
A ring and a disc have the same mass and roll without slipping with the same linear velocity v. If the total kinetic energy of the ring is 8 J, the kinetic energy of disc is
8 J
6 J
16 J
4 J
Correct Answer
Detailed Explanation
The total kinetic energy of a rolling object is the sum of its translational and rotational kinetic energies. For a ring, the total kinetic energy is mv² + (1/2)Iω² = 8 J. For a disc, the moment of inertia is different, leading to a different distribution of kinetic energy. Solving for the disc, the kinetic energy is found to be 6 J.
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