A large spring requires a force of 100 N to compress it only 0.010 m.What is the spring constant of the spring?
A) 1.0 N/m
B) 100 N/m
C) 10,000 N/m
D) 100,000 N/m

Question

Quizplus · Accepted Answer

By Hooke's law, the force required to compress a spring is directly proportional to its spring constant and the amount of compression. Therefore, we can use the equation F = kx, where F is the force, x is the displacement or compression, and k is the spring constant. Rearranging for k, we get k = F/x. Substituting the given values, we get k = 100 N / 0.010 m = 10,000 N/m. Therefore, the correct answer is choice C.

A Large Spring Requires a Force of 100 N to Compress