In which of the following situations is the greatest amount of work accomplished?

a boy lifts a 9-newton box 0.3 meters.
a boy lifts a 4-newton box 0.6 meters.
a boy lifts a 6-newton box 0.3 meters.
a boy lifts a 2-newton box 0.6 meters.

A boy lifts a 9-newton box 0.3 meters. The greatest amount of work is accomplished here.

Explanation:

The formula for work done by a body is expressed as the product of the force applied and the distance moved by the body.

To determine the situation in which the greatest amount of work is accomplished, we would find the work done in each of them.

1) A boy lifts a 9-newton box 0.3 meters.

Work done = 9×0.3 = 2.7Nm

2) A boy lifts a 4-newton box 0.6 meters.

Work done = 4×0.6 = 1.6Nm

3) A boy lifts a 6-newton box 0.3 meters.

Work done = 6×0.3 = 1.8Nm

4) A boy lifts a 2-newton box 0.6 meters.

Work done = 2×0.6 = 1.2Nm