   Chapter 13, Problem 3P

Chapter
Section
Textbook Problem

The force constant of a spring is 137 N/m. Find the magnitude of the force required to (a) compress the spring by 4.80 cm from its unstretched length and (b) stretch the spring by 7.36 cm from its unstretrhed length.

(a)

To determine

The force required to compress a spring by 4.80 cm from its un-stretched position.

Explanation

Given info: The force constant of the spring is 137 Nm-1 , the required compression is 4.80 cm from its unstretched position.

In simple harmonic motion the net force applied along the direction of motion follows Hook’s law:

F=kx

• F is the restoring force.
• k is force constant of the spring.
• x is the displacement of the spring.

Consider the right side to be positive. Substitute 137 Nm-1 for F and -4.80 cm for x to find the restoring force:

F=(137Nm-1)(4

(b)

To determine

The force required to stretch a spring by 7.36 cm from its unstreched position.

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