Question

Which statement is true according to hooke's law?

a. as the force on a spring increases, the spring's length remains unchanged.

b. the distance a spring stretches has nothing to do with how much force is applied to it.

c. as the force on a spring increases, the distance it stretches increases.

d. as the force on a spring increases, the distance it stretches decreases.

Answer 1

The answer is
c. as the force on a spring increases, the distance it stretches increases

Answer 2

Answer: option c. as the force on a spring increases, the distance it stretches increases.

Explanation:

Hooke's Law relates the force (F) applied on the spring and extension (x) of the spring:

F = - k x

Where, k is the spring constant.

as the force on a spring increases, the distance it stretches increases but it is limited by its elastic limit. The negative sign means that spring force is a restoring force which means that the stretch of the spring is in opposite direction to force.