How much work is done when a force of 5 N is applied to a shopping cart over a distance of 16 meters?

To determine the work done when a force is applied over a distance, you can use the formula for work:

[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) ]

In this scenario, the force applied is 5 N and the distance moved is 16 meters. Assuming that the force is applied in the same direction as the movement of the cart (which means the angle (\theta) between the force and the direction of movement is 0 degrees and (\cos(0) = 1)), the calculation simplifies to:

[ \text{Work} = 5 , \text{N} \times 16 , \text{m} ] [ \text{Work} = 80 , \text{N \cdot m} ] [ \text{Work} = 80 , \text{joules} ]

The correct amount of work done is therefore 80 joules. This means that for every unit of force applied over the given distance, the total work done reflects the direct product of those quantities under the assumption that the force and movement are aligned. The options presented show varying calculations