The drawing shows the force-versus-displacement graph for two different bows. Th

Question

The drawing shows the force-versus-displacement graph for two different bows. These graphs give the force that an archer must apply to draw the bowstring.

(a) For which bow is more work required to draw the bow fully from s = 0 to s = 0.50 m?

Give your reasoning.

(b) Estimate the additional work required for the bow identified in part (a) compared to the other bow.

The drawing shows the force-versus-displacement graph for two different bows. These graphs give the force that an archer must apply to draw the bowstring. (a) For which bow is more work required to draw the bow fully from s = 0 to s = 0.50 m? bow 1 bow 2 Give your reasoning. (b) Estimate the additional work required for the bow identified in part (a) compared to the other bow.

Explanation / Answer

a . for bow 1 more work is required , since the area under its F - x curve is higher ;

ans ------> bow 1

b.

extra work is the difference betweem the two shaded areas ( just count the number of saquares in the

grey coloured part . , 2 half squares add to 1 square )

W extra = 8 + 4 = 12 J <---------ans

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