   Chapter 3, Problem 21P

Chapter
Section
Textbook Problem

. An archer using a simple bow exerts a force of 180 N to draw back the bow string 0.50 m. (a) What is the average work done by the archer in preparing to launch her arrow? (Hint: Compute the average work as you would any average quantity: average work = [final work - initial work].) (b) If all the work is converted into the kinetic energy of the arrow upon its release, what is the arrow's speed as it leaves the bow? Assume the mass of the arrow is 0.021 kg and ignore any kinetic energy in the bow as it relaxes to its original shape. (c) If the arrow is shot straight up, what is the maximum height achieved by the arrow? Ignore any effects due to air resistance in making your assessment.

To determine

(a)

The average work done by archer.

Explanation

Given:

Final position of the bow, d=0.5m

Force exert, F=180N.

Formula used:

Average work is calculated as

W=12[finalwork-initalwork].

Calculation:

Average work in stretching the bow is calculated as

W=12[finalwork-initalwork<

To determine

(b)

Speed of the arrow.

To determine

(c)

Maximum height achieved by the arrow.

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