Final answer:
The power developed while pushing a wheelbarrow by exerting a 124 N force horizontally over a distance of 30.0 m at a constant speed of 18.0 m/s is approximately 2225.75 Watts.
Step-by-step explanation:
To calculate the power developed by pushing a wheelbarrow, you need to know the work done and the time it takes to do that work. Power is the rate at which work is done, defined as work divided by time (P = W/t). First, we'll find the work using the formula W = F × d, where W is work, F is force, and d is distance. The force exerted is 124 N, and the distance is 30.0 m, so the work done is:
W = F × d = 124 N × 30.0 m = 3720 Joules
To find power, we must determine how long it takes to move the wheelbarrow 30.0 meters at a constant speed of 18.0 m/s. Time is calculated using the formula t = d/v, where v is velocity. Therefore, the time taken is:
t = d/v = 30.0 m / 18.0 m/s = 1.67 seconds
Now we can calculate the power:
P = W/t = 3720 Joules / 1.67 seconds = 2225.75 Watts
The power developed is therefore approximately 2225.75 Watts.