   Chapter 5, Problem 65AP

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 does the archer do in pulling the bow? Figure P5.64

(a)

To determine
The equivalent spring constant of the bow.

Explanation

Given Info:

The length that the archer pulls back her bow-spring is 0.400m .

The force on the string is increasing uniformly from zero to 230.0N .

Formula to calculate the spring constant of the bow is,

k=Ffxf

• Ff is the final force exerted on the bow
• xf is the final length that the archer pulls back her bow-spring

Substitute 230.0N for Ff and 0

(b)

To determine
The work done by the archer did to pull the bow spring back.

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