Spring with Work and Energy

• gpber94
In summary, a block with mass 4.00 kg attached to a spring with spring constant 500 N/m slides on a horizontal table with friction. When the spring is compressed by 3.00 cm, the block moves right at 0.600 m/s. When the spring is completely relaxed, the block moves at 0.550 m/s. The net work done on the block is the change in potential energy of the spring. The work done by the spring can be calculated using the equation PE = \frac{1}{2}kx^2, where x is the displacement from the relaxed position. The work done by friction and the coefficient of kinetic friction can be found by using the total work and the work done

Homework Statement

A block with mass m = 4.00 kg is attached to a spring with spring constant k = 500 N/m, and it slides on a horizontal table that is not frictionless. At a time when the spring is compressed by 3.00 cm, the block is observed to be moving toward the right (decompressing the spring) at 0.600 m/s. When the block reaches the point where the spring is completely relaxed, the block is measured to be moving at 0.550 m/s. (a) What is the net work done on the block during the time interval? (b) What is the work done by the spring? (c) What is the work done by friction? (d) What is the coefficient of kinetic friction between the block and the table?

The Attempt at a Solution

I honestly am lost, i know how to do a, but not anything after

The net work done by the spring is given by the change in the spring's potential energy between two positions (the compressed one and the relaxed one), spring potential is
$$PE = \frac{1}{2}kx^2$$
Where x is the displacement from the relaxed position.
Since you know the total work and the part of the work done by the spring parts (c) and (d) follow :)