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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

Solutions

BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1500 N. How much work is done by the truck in pulling the car 1 km?

To determine

To find: The work done.

Explanation

Given:

|F|=1500N , θ=30° and |D|=1km

Formula:

Write the expression to find the work done (W) .

W=|F||D|cosθ (1)

Here,

F Force,

D is the displacement vector, and

θ is the angle between F and D .

Consider the conversion factor for kilometer to meter.

1km=1000m .

In equation (1), substitute 1500N for |F| , 1km for |D| and 30° for θ

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Chapter 12 Solutions

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