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kallied
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Homework Statement
if a 10-N force is used to compress a spring with a spring constant of 4.0x10^2N/m, what is the resulting spring compression?
Work done by variable force refers to the amount of energy transferred to an object by a force that changes in magnitude and/or direction as the object moves. It is a measure of the amount of force exerted over a given distance.
To calculate work done by variable force, the formula W = ∫ F(x)dx is used, where W is work, F(x) is the variable force, and dx is the displacement of the object. This formula is derived from the concept of integration in calculus.
The unit of measurement for work done by variable force is the joule (J). One joule is equal to one newton-meter (N·m) of work.
The main difference between work done by constant force and variable force is that constant force maintains the same magnitude and direction throughout the displacement, while variable force changes in magnitude and/or direction as the object moves. This results in a different amount of work being done in each case.
Some real-life examples of work done by variable force include pushing a shopping cart, rowing a boat, and riding a roller coaster. In each of these cases, the force applied to the object changes in magnitude and/or direction as it moves, resulting in varying amounts of work being done.