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Based on unit considerations alone, show that the power

Chapter 1, Problem 35P

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QUESTION:

Problem 35P

Based on unit considerations alone, show that the  power needed to accelerate a car of mass m (in kg) from rest to velocity V (in m/s) in time interval t (in s) is proportional to mass and the square of the velocity of the car and inversely proportional to the time interval.

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QUESTION:

Problem 35P

Based on unit considerations alone, show that the  power needed to accelerate a car of mass m (in kg) from rest to velocity V (in m/s) in time interval t (in s) is proportional to mass and the square of the velocity of the car and inversely proportional to the time interval.

ANSWER:

Step 1:

        Mass of the car = m (in kg)

        Initial velocity = 0 (in m/s)

        Final velocity = v (in m/s)

        Time interval = t (in s)

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