What is the relationship between work, force, and distance?

The relationship between work, force, and distance is expressed by the equation Work = Force x Distance. This equation stems from the definition of work in physics, which states that work is done when a force is applied to an object, causing that object to move a certain distance in the direction of the force.

When we apply a force to move an object, we essentially exert energy into that object. The amount of work done depends on how much force is applied and how far the object moves in the direction of that force. If either the amount of force or the distance increases, the total work done also increases.

For example, if you push a box across a floor with a force of 10 Newtons over a distance of 5 meters, the work done on the box would be 10 N x 5 m = 50 Joules. This demonstrates the principle that work is a product of both the applied force and the distance moved in the direction of that force.

The other formulations given in the options do not reflect the correct relationship between these physical quantities, as they do not adhere to the established definition of work.