Raul pushes a stalled car with a force of 204 N. If the required force decreases at a constant rate from 204 N to 44.0 N for a distance of 16.3 m in 16.0 s, calculate the average power required to move the car.
204-44=160
160*16.3/16
2608/16
answer: 163 W
Your thinking is off?
What is the 160? ARe you looking for average force? It is hardly an average. Is the car undergoing constant velocity? What was the final velocity of the car ( IE, did it have KE at the end)
To calculate the average power required to move the car, you need to know the work done and the time taken. The work done can be calculated by finding the area under the force-distance graph.
Start by calculating the average force as the average of the initial and final forces:
Average force = (Initial force + Final force) / 2
= (204 N + 44.0 N) / 2
= 248 N / 2
= 124 N
Next, calculate the work done using the formula:
Work = Force × Distance
= Average force × Distance
= 124 N × 16.3 m
= 2021.2 Nm (Joules)
Finally, to find the average power, divide the work done by the time taken:
Average power = Work done / Time taken
= 2021.2 J / 16.0 s
= 126.325 W (rounded to three decimal places)
Therefore, the average power required to move the car is approximately 126.325 W.