Solve the problem.
-It takes a force of 12,000 lb to compress a spring from its free height of 15 in. to its fully compressed height of 10 in. How much work does it take to compress the spring the first inch?
A) 600 in.-lb
B) 1200 in.-lb
C) 2400 in.-lb
D) 120,000 in.-lb

Question

Quizplus · Accepted Answer

The work done to compress a spring is given by the formula:
W = (1/2)kx^2
where W is work done, k is the spring constant, and x is the displacement.

To find the spring constant, we can use the given information:
12,000 lb = k(15 in. - 10 in.)
k = 2,400 lb/in.

Now, we can use this value of k to find the work done to compress the spring by 1 in:
W = (1/2)(2,400 lb/in.)(1 in.)^2
W = 1,200 in.-lb

Solve the Problem. -It Takes a Force of 12,000 Lb to Compress a to Compress