40. A spring with a constant of 1,200N/m is compressed 0 .5 m by a force.How much force is needed? a. 300 N b. 600 N c. 450 N d. 275 N e. Not enough information

## Step 1The force required to compress or extend a spring is described by Hooke's law, also known as the spring law. In mathematical terms, Hooke's law is represented by the equation , where is the force applied on the spring, is the spring constant, and is the amount of displacement from the equilibrium position (the position of the spring when it's not stretched or compressed).## Step 2We are given the spring constant , which determines the stiffness of the spring. The displacement from equilibrium is .## Step 3By substituting these values into the equation, we can calculate the spring force in newtons which is necessary to compress or expand the spring.