Spring Forces (College Board AP® Physics 1: Algebra-Based): Exam Questions

A block of mass is attached to a spring with a spring constant . The block rests on a horizontal frictionless surface. The spring is initially stretched by from its equilibrium position and then released from rest.

Derive an expression for the magnitude of the spring force at displacement .

i) Calculate the magnitude of the spring force when the spring is stretched by .

ii) Describe how the spring constant affects the magnitude of the force.