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Energy conservation in oscillatory motion: block encounters an unstretched spring and compresses it 25 cm before coming to rest.

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A 0.540 kg block slides on a frictionless, horizontal surface with a speed of 1.13 m/s. The block encounters an unstretched spring and compresses it 25 cm before coming to rest.

(a) What is the force constant of this spring
(b) How long is the block in contact with the spring before it comes to rest?
(c) If the force constant of the spring is increased, does the time required to stop the block increase, decrease, or stay the same? Explain.

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Solution Summary

The solution provides an explanation and computations, the problem is solved regarding the energy conservation in oscillatory motion. The force of the constant of the spring and how long the block in contact with the spring are determined.

Solution Preview

(a) When the block stops, all of its kinetic energy will be transferred into spring potential energy.
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