A car is driven at a constant speed of 76 km/h down a road. The car's engine delivers 48 kW of power. Calculate the average force that is resisting the motion of the car.
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2274
To find the average force resisting the motion of the car, we need to use the formula:
Average force (F) = Power (P) / Velocity (v)
First, let's convert the speed from km/h to m/s:
76 km/h = (76 * 1000) / 3600 m/s = 21.11 m/s (approximately)
Now, we can substitute the values into the formula:
F = 48,000 W / 21.11 m/s
F = 2276.85 N (approximately)
Therefore, the average force resisting the motion of the car is approximately 2276.85 N.
To calculate the average force resisting the motion of the car, we need to use the equation:
Average force = Power / Velocity
Given that the power delivered by the car's engine is 48 kW and the speed of the car is 76 km/h, we first need to convert the units to a consistent system.
Converting the power from kW to Watts:
1 kW = 1000 Watts
Therefore, the power in Watts is:
48 kW * 1000 = 48,000 Watts
Converting the speed from km/h to m/s:
1 km/h = 0.2778 m/s
Therefore, the speed in m/s is:
76 km/h * 0.2778 = 21.1092 m/s
Now, we can substitute the values into the equation:
Average force = 48,000 Watts / 21.1092 m/s
Simplifying the equation, we get:
Average force = 2274.51 N
Therefore, the average force resisting the motion of the car is approximately 2274.51 N.