An automobile engine exerts a force of 595 N to propel the car at 90.0 km/h on a level road. What is the power output of the engine at that time?
Answer (3)
To find the power output of a car engine exerting 595 N to propel the car at 90.0 km/h, convert the speed to m/s, then multiply the force by the velocity, and convert Watts to horsepower. ;
The power output of an automobile engine can be determined using the formula:
Power (P) = Force (F) × Velocity (V)
First, we need to convert the given velocity from km/h to m/s:
V = 90.0 km/h = 90.0 × (1000 m/3600 s) = 25.0 m/s
Next, we can substitute the given force (595 N) and velocity (25.0 m/s) into the formula to calculate the power:
P = 595 N × 25.0 m/s = 14,875 W
Therefore, the power output of the engine at that time is 14,875 W or 14.875 kW.
The power output of the automobile engine is approximately 14,875 watts or 19.9 horsepower when it exerts a force of 595 N at a speed of 90.0 km/h. This can be calculated by converting the speed to meters per second, applying the power formula, and converting the result to horsepower. This is a reasonable power output for small to mid-size car engines.
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