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Work A 180-lb man stands on a hillside that makes an angle

Chapter 12, Problem 20RE

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QUESTION:

Work  A 180-lb man stands on a hillside that makes an angle of \(30^{\circ}\) with the horizontal, producing a force of \(\mathbf{W}=\langle 0,-180\rangle \mathrm{lb}\).

                                     

(a) Find the component of his weight in the downward direction perpendicular to the hillside and in the downward direction parallel to the hillside.

(b) How much work is done when the man moves 10 ft up the hillside?

Questions & Answers

QUESTION:

Work  A 180-lb man stands on a hillside that makes an angle of \(30^{\circ}\) with the horizontal, producing a force of \(\mathbf{W}=\langle 0,-180\rangle \mathrm{lb}\).

                                     

(a) Find the component of his weight in the downward direction perpendicular to the hillside and in the downward direction parallel to the hillside.

(b) How much work is done when the man moves 10 ft up the hillside?

ANSWER:

Solution 20REa) The component of the man’s weight in the do

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