Average Power Calculation for a Car Accelerating from 0 to 25 m/s

What is the average power delivered by the motor of a 2000 kg car that accelerates from 0 to 25 m/s in 21.0 s?

The average power delivered by the motor is 80 hp.

Calculating Average Power:

Given data: Mass of the car (m) = 2000 kg Final velocity (v) = 25 m/s Initial velocity (u) = 0 m/s Time taken (t) = 21.0 s To calculate the average power delivered by the motor, we need to find the work done by the motor first. This can be done by calculating the change in kinetic energy of the car during acceleration. Change in Kinetic Energy: The change in kinetic energy can be calculated using the formula: ΔKE = 1/2 m(v^2 - u^2) Plugging in the values: ΔKE = 1/2 * 2000 kg * (25 m/s)^2 - (0 m/s)^2 ΔKE = 250,000 J Calculating Average Power: Now, we can find the average power delivered by the motor using the formula for power: Power = Work / Time Power = 250,000 J / 21.0 s Power = 12,380 W To convert to horsepower: Power = 12,380 W / 746 W/hp Power = 80 hp Therefore, the average power delivered by the motor of the 2000 kg car accelerating from 0 to 25 m/s in 21.0 s is 80 hp.
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