In just 0.30 s , you compress a spring (spring constant 5000 n/m ), which is initially at its equilibrium length, by 4.0 cm. part a what is your average power output?

The average power output is the ratio between the work done to compress the spring, W, and the time taken, t:
(1)

The work done is equal to the elastic energy stored by the compressed spring:

where  is the spring constant and  is the compression of the spring. If we substitute the numbers, we find:


And now we can use eq.(1) to calculate the average power output: