More Work-Energy Problems Video Lessons

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Problem: Two identical arrows, one with twice the speed of the other, are fired into a bale of hay. Compared with penetration of the slow arrow, the faster arrow penetrates A. more than four times as far.B. the same distance.C. two times as far.D. four times as far.E. none of the above 

FREE Expert Solution

The bale of hay exerts friction on the arrows.

The frictional force opposes the motion of the arrows.

Work, W = Fdcosθ

θ is the angle between F and d and is 180°

W = Fd cos(180°) = - Fd.

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Problem Details

Two identical arrows, one with twice the speed of the other, are fired into a bale of hay. Compared with penetration of the slow arrow, the faster arrow penetrates 

A. more than four times as far.

B. the same distance.

C. two times as far.

D. four times as far.

E. none of the above 

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