A radio-controlled car powered by an electric motor accelerates from rest to 0.800 m/s in 23.0 ms. The total mass of the car is 675 g. What is the average power (in W) delivered to the car by the motor during its acceleration

9.39Watts

Explanation:

The work done by the car is converted to kinetic energy. Hence;

Work done = Kinetic energy =1/2mv²

Time t = 23ms =23×10^-3s

Mass = 675g = 0.675kg

v = 0.8m/s

Work done = 1/2(0.675)0.8²

Work done = 0.216Joules

Average power = Work done/Time

Average power = 0.216/0.023

Average power = 9.39Watts

Hence the average power (in W) delivered to the car by the motor during its acceleration is 9.39Watts

we need to know the time interval during which the force acts. impulse of force = momentum change

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