A force of 4.0 N applied to a spring compresses it by 8.0 cm. What is the amount of work done to compress the spring by an additional amount of 5.0 cm?

Question

Quizplus · Accepted Answer

The work done to compress a spring is given by the formula:

W = (1/2)kx^2

where W is the work done, k is the spring constant, and x is the displacement.

First, we can use Hooke's Law to find the spring constant:

F = kx 
4.0 N = k(0.08 m) 
k = 50 N/m

Next, we can plug in the values for the additional compression:

W = (1/2)(50 N/m)((0.08 m + 0.05 m)^2 - (0.08 m)^2) 
W = 0.26 J

Therefore, the answer is B.

A Force of 4