Ann performs 40 J of work by pushing an object 10 m with a force of 4 N. Liz performs 40 J of work by pushing an object 4 m with a force of 10 N. Describe the relationship that is demonstrated by this example.

The work done by a force is equal to the product of the force in the direction of displacement of the object and the distance moved by the object.

Explanation:

Work (a measurement of energy) is said to be done when a force applied to an object results in the movement of that object to a certain distance and direction. Displacement is the distance covered by an object as a result of the force applied to it.

The work done (W) by a constant force (F) is equal to the product of the force in the direction of displacement of the object and the distance (d) moved by the object i.e., W = F * d.

In the given example, Ann performs 40 J of work by pushing an object 10 m with a force of 4 N. Here, the force applied to the object is 4 N and the displacement of the object is 10 m. Hence, the work done is, W = 4 × 10 = 40 Joules.

Liz performs 40 J of work by pushing an object 4 m with a force of 10 N. In this example, the force applied to the object is 10 N and the displacement of the object is 4 m. Hence, the work done is, W = 10 × 4 = 40 Joules.