A large spring requires a force of 150 N to compress it only 0.010 m.What is the spring constant of the spring?
A)125 000 N/m
B)15 000 N/m
C)15 N/m
D)1.5 N/m

Question

Quizplus · Accepted Answer

We can use Hooke's law, which states that the force required to compress or stretch a spring is directly proportional to the displacement from its equilibrium position. Mathematically, F = -kx, where F is the applied force, x is the displacement, and k is the spring constant.
Rearranging the formula to solve for k, we get k = -F/x.
Substituting the given values, k = -(150 N) / (0.010 m) = -15,000 N/m.
However, since the spring constant is always positive, we take its absolute value, giving k = 15,000 N/m. Therefore, the best choice is B.

A Large Spring Requires a Force of 150 N to Compress