Question

What statement is true about a spring?

A. The softer the spring, the greater the force required to restore its position.

B. The stiffer the spring, the greater the force required to restore its position.

C. The longer the spring, the greater the force required to restore its position.

D. The shorter the spring, the greater the force required to restore its position.

Answer 1

I think B is the most correct, because logically it's harder to bend a stiffer spring than it is to bend a softer one. Also, I don't think length comes into play. So B.

Answer 2

B. The stiffer the spring, the greater the force required to restore its position.

Step-by-step explanation:

The 'restoring force' (the force required to restore the position of a spring) is given by:

`F=-kx`

where

F is the restoring force

k is the spring constant, which determines its stiffness (the higher the value of k, the stiffer the spring)

x is the displacement of the spring relative to its natural length

From the formula, we see that the higher the value of k (so, the stiffer the spring), the larger the restoring force, so the correct option is

B. The stiffer the spring, the greater the force required to restore its position