A1.80 kg block slides on a rough horizontal surface. the block hits a spring with a speed of 2.5m/s and compresses it a distance of 13cm before coming to rest. if the coefficient of kinetic friction between the block and surface is 0.560, what is the force constant of the spring?

k = 513.71 N/m

Explanation:

To solve this problem we need the concept of Kinetic Energy and Work. Let's start

We know that the Kinetic Energy of the Block is given by

We can now find the Work made for the Frictional Force, that is

For Energy conservation equation we have

We can now find k, through the Enery equation which says,

Re-arrange for k

3.2x10^7

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