What is the restoring force of a spring with a spring constant of 4a and a stretched displacement of 3b? a. –7 ab b. `-7 a/b ` c. –12 ab d. `-12 a/b`

C. -12 ab

Explanation:

The restoring force on a spring is given by Hooke's law:

where

k is the spring constant

x is the stretched (or compressed) displacement of the spring

In this problem we have:

k = 4a

x = 3b

Substituting into the equation, we find:

And the negative sign means that the direction of the force (negative) is opposite to the direction of the displacement (positive).

the force on the thing and the distance the force moves the thing

see earlier answer