Final answer:
Robin develops a power of 501 Watts when pushing the wheelbarrow by applying a 160.5N force over a distance of 74m in 23.7s. Power is the work done divided by the time taken to do that work.
Step-by-step explanation:
Robin develops power while pushing the wheelbarrow by applying a force over a distance in a given amount of time. Power is defined as the rate at which work is done, or, in other words, the amount of energy transferred per unit of time. We can calculate power using the formula:
Power (P) = Work (W) / Time (t)
First, we must find the work done, which is the product of the force applied and the displacement in the direction of the force. Since Robin pushes horizontally and the displacement is also horizontal, work done (W) can be calculated as:
W = Force (F) × Displacement (d)
Work done by Robin = 160.5 N × 74m = 11877 J (Joules)
To find the power, we divide the work done by the time over which the work was done:
Power = 11877 J / 23.7 s = 501 W (Watts)
Therefore, Robin develops a power of 501 Watts while moving the wheelbarrow.