?A variable force of \(5 x^{-2}\) pounds moves an object along a straight line when it

Chapter 5, Problem 3

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QUESTION:

A variable force of \(5 x^{-2}\) pounds moves an object along a straight line when it is \(x\) feet from the origin. Calculate the work done in moving the object from \(x=1 f t\) to \(x=10 \mathrm{ft}\).

Equation Transcription:

Text Transcription:

5x^-2

x

x=1ft

x=10ft

Questions & Answers

QUESTION:

A variable force of \(5 x^{-2}\) pounds moves an object along a straight line when it is \(x\) feet from the origin. Calculate the work done in moving the object from \(x=1 f t\) to \(x=10 \mathrm{ft}\).

Equation Transcription:

Text Transcription:

5x^-2

x

x=1ft

x=10ft

ANSWER:

Step 1 of 2

We know that

If an object moves along the -axis in the positive direction from  to  and  is a force applied on that object.

Then the work done by this force  on the object is given by

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