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barxatty [35]
3 years ago
15

In preparing to shoot an arrow, an archer pulls a bow string back 0.424 m by exerting a force that increases uniformly from 0 to

223 N. What is the equivalent spring constant of the bow?
Physics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

525.94N/m

Explanation:

According to Hooke's law, the extension or compression of an elastic material is proportional to an applied force provided that the elastic limit of the material is not exceeded.

F=ke..................(1)

where  F is the applied force or load, k is the elastic constant or stiffness of the material and e is the extension.

In this problem, the bow string is assumed to behave like an elastic material that is stretched not beyond the elastic limit.

Given;

F = 223N;

e = 0.424m

k = ?

We make substitutions into equation (1) and then solve for k.

223=k*0.424\\k=\frac{223N}{0.424m}\\k = 525.94N/m

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