The force F required to compress a spring a distance x is given by F-F0=kx where k is the spring constant...?

Question

and F0 is the preload. Determine the work required to compress a spring whose spring constant k=200 lbf/in a distance of one inch starting from its free length where F0=0 lbf. Express in lbf ft and Btu.

Answer 1

Work = 1 inch*200 pounds = 200 inch-lb

BTU = 200 inch-lb*0.000107089 BTU per inch-lb = 0.021418 BTU

Answer 2

F - F 0 = kx

Since F0 is zero, F = kx

F = 200 x 1 since x the distance is 1 inch.

F = 200 lbf