Which of the following statements is not TRUE about work done?*1 pointThe work done by a spring force, acting from an initial position to a final position, depends only on the spring constant and the squares of those positions.The work done by a constant force of gravity on an object depends only on the object’s weight and the difference in height through which the object is displaced.The work done by a force, acting over a finite path, is the integral of the infinitesimal increments of work done along the path.The work done against a force is the positive of the work done by the force.
Question
Which of the following statements is not TRUE about work done?*1 pointThe work done by a spring force, acting from an initial position to a final position, depends only on the spring constant and the squares of those positions.The work done by a constant force of gravity on an object depends only on the object’s weight and the difference in height through which the object is displaced.The work done by a force, acting over a finite path, is the integral of the infinitesimal increments of work done along the path.The work done against a force is the positive of the work done by the force.
Solution
The statement that is not true about work done is: "The work done by a spring force, acting from an initial position to a final position, depends only on the spring constant and the squares of those positions."
The work done by a spring force also depends on the displacement of the spring from its equilibrium position, not just the spring constant and the squares of the initial and final positions. The correct formula for the work done by a spring force is 1/2 k x^2, where k is the spring constant and x is the displacement of the spring from its equilibrium position.
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