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SVEN [57.7K]
4 years ago
12

An archer shoots an arrow. Consider the action force to be the bowstring against the arrow. The reaction to this force is the:__

___________
a. friction of the ground against the archer's feet.
b. grip of thhe archer's hand on the bow.
c. arrow's push against the bowstring.
d. combined weight of the arrow and bowstring
e. air resistance against the bow arrow.
Physics
1 answer:
Strike441 [17]4 years ago
7 0

Answer:

c. arrow's push against the bowstring.

Explanation:

Newtons third law of motion describe the relationship between action and reaction forces. Thus when the action force is applied by the bowstring against the arrow, a reaction to this force is supplied by the arrow's push against the bowstring.

If these two forces are not equal and opposite, the arrow would not move as expected. The elastic property of the bowstring propels the arrow at a rate which is due to the potential energy it has gained due to the stretching force.

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F_1, A_1, and A_2 have all been found. The question is asking for F_2. Rearrange this equation to obtain:

\displaystyle F_2 = \frac{F_1}{A_1} \cdot A_2 = F_1 \cdot \frac{A_2}{A_1}.

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\begin{aligned}F_2 &= F_1 \cdot \frac{A_2}{A_1} \\ &= 495\; \rm N \times \frac{2.25\, \pi\; \rm cm^2}{144\, \pi \; \rm cm^2} \approx 3.1 \times 10^4\; \rm N\end{aligned}.

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