Chapter 5.4, Problem 31E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The kinetic energy KE of an object of mass *m* moving with velocity *v* is defined as
*Work-Energy Theorem* states that the net work done is equal to the change in kinetic energy:

(a) Let
*t* and

Then use Newton’s Second Law of Motion

(b) How much work (in ft-lb) is required to hurl a 12-lb bowling ball at
*(Note:* Divide the weight in pounds by

To determine

**a)**

**To prove:**

Explanation

**1) Concept:**

The work is calculated by using the formula

**2) Calculation:**

Â Since the work done is calculated by the formula

Therefore, to prove the work-energy theorem given that the position of the function is

Hence, the work the work done is

Hence, it is proved.

By using Newtonâ€™s second law of motion

The integral becomes

Put

To determine

**b)**

**To find:**

The work required to hurl a 12-lb bowling ball at 20 mi/h.

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