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How are work, force, and distance related in the formula for calculating work?

  1. Work equals force minus distance

  2. Work equals distance divided by force

  3. Work equals force divided by distance

  4. Work equals force times distance

The correct answer is: Work equals force times distance

The relationship among work, force, and distance is defined by the formula that states work equals force multiplied by distance. This means that in order to perform work, a force must be applied to an object and that force must cause the object to move over a certain distance. In physical terms, work is done when a force acts on an object to cause it to move. The amount of work done is directly proportional to both the magnitude of the force and the distance over which that force is applied. For example, if you push an object with a certain force and it moves a specific distance, the work done can be calculated by multiplying the force applied by the distance moved. This formula is fundamental in physics and helps quantify energy transfers in mechanical systems. Understanding this connection is crucial for solving problems in mechanics and related fields.