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Working with a compressed spring - mass attached to spring

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A 5kg block free to move on a horizontal surface is attached to a spring. The spring is compressed 0.1m from equilibrium and then released. The speed of the block is 1.2m/s at the unstressed equilibrium position of the spring. The same experiment is now repeated on a surface with a coefficent of kinetic friction = 0.3.

A. Determine the speed of the block at the equilibrium position of the spring.

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We have the energy stored in the spring as U = (1/2) k x^2

when the spring is released, this much energy is transferred to the mass and it appears as the Kinetic Energy of the mass.

Thus we will write (no friction) initial KE of the mass as,


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