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Vika [28.1K]
3 years ago
9

A little boy pulls a spring with force constant k out a distance s and in so doing, does an amount of work W. By comparison, how

much work would he do to pull the spring out a distance
Physics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

The answer is "w'= \frac{w}{4}"

Explanation:

According to the work-energy theorem:

work = changes in the potential energy

w= \frac{1}{2} K S^2-0\\\\w= \frac{1}{2} K S^2. . . . . . . . . . . (1) \\\\w'= \frac{1}{2} K \frac{S^2}{2}  -0\\\\w'= \frac{1}{2} K (\frac{S}{2})^2\\\\  w'= \frac{1}{2} K \frac{S^2}{4} . . . . . . . . . . . (2) \\\\

by putting the w value in equation 2. so, the value is:

\boxed{w'= \frac{w}{4}}

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