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In: Physics

A block has mass M=2kg and is initially at rest, then slides a distance L =...

A block has mass M=2kg and is initially at rest, then slides a distance L = 1.25m down a theta = 30degrees frictionless incline plane until it is momentarily brought to rest by a spring. The spring is compressed a distance X= 3cm .

a) Write down expressions for the initial and final energy of the system

b) Find an expression for the spring constant K in terms of L, X, theta and M and calculate K

c)The experiment is repeated but the spring is removed. This time the block slides a distance L = 1.4m to the bottom of the frictionless incline and at the bottom of the incline the block slides an additional distance d along a horizontal surface with coefficient of kinetic friction = 0.3, before coming to rest. Use Work and energy to find d.

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