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An object moves to the right while a force [(F)\vec] acts on it to the left. What work is done by the force [(F)\vec]? Zero work. Positive work. Negative work.

Question

An object moves to the right while a force F \vec{F} acts on it to the left. What work is done by the force F \vec{F} ?

  • Zero work.
  • Positive work.
  • Negative work.
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Solution

The work done by a force on an object is given by the equation W = Fdcos(θ), where F is the magnitude of the force, d is the distance the object moves, and θ is the angle between the direction of the force and the direction of the motion.

In this case, the object is moving to the right and the force is acting to the left. This means that the angle between the direction of the force and the direction of the motion is 180 degrees.

The cosine of 180 degrees is -1. Therefore, the work done by the force is W = Fd(-1), which is negative. So, the work done by the force is negative.

This problem has been solved

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