Question

According to Hooke's law for a mass vibrating on an ideal spring, doubling the extension of the spring will:

• A. double the velocity of the mass
• B. double the force that the spring exerts on the mass.
• C. quadruple the force the spring exerts on the mass.
• D. double the period.
• E. double the frequency.

Answer 1

Answer: (B)

double the force that the spring exerts on the mass.

Hooke's law states that force needed to compress or extend a spring by some distance X is proportional to the distance by which it is compressed or stressed.

Mathematically, $F=kx$

When the extension takes place, that is, $x$ is doubled, the force that spring exerts $F$ doubles.