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A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m/s. It collides with a horizontal spring of force constant 200 N/m. The maximum compression produced in the spring will be:

1. 0.5 m
2. 0.6 m
3. 0.7 m
4. 0.2 m

Correct answer: 0.5 m

Solution

The total energy of the rolling cylinder is the sum of its translational and rotational kinetic energy. Using the energy conservation principle, the initial kinetic energy is converted into the potential energy of the spring at maximum compression. Solving for compression, we get 0.5 m.

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