   Chapter 13, Problem 10P

Chapter
Section
Textbook Problem

An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work is done in pulling the bow?

(a)

To determine
The equivalent spring constant of the bow.

Explanation

Given info:

The displacement of the bowstring is 0.400 m. The force increases uniformly from 0 to 230 N.

Explanation:

Given info:

The displacement of the bowstring is 0.400 m. The force increases uniformly from 0 to 230 N.

According to Hook’s law the restoring force will be:

F=kx

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

On re-arranging,

k=Fx

The force applied by archer on the bowstring will be negative of the restoring force. The maximum force will create maximum displacement.

Substitute 0

(b)

To determine
The work done in pulling the bow.

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