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4) A reasonably powerful car's engine may produce 200. horsepower. If the car has a mass of
750.0 kg, and starts from rest, calculate the car's speed after 10.00 s of acceleration at this
power. The following subparts will guide you through this calculation:

a) Convert the power to appropriate units.

b) Calculate the amount of work the engine does during the given time interval.

c) Calculate the final speed of the car.

a) P = 149140[w]; b) 1491400[J]; c) v = 63.06[m/s]

Explanation:

As the solution to the problem indicates, we must convert the power unit from horsepower to kilowatts.

P = 200 [hp]

Now the power definition is known as the amount of work done in a given time

P = w / t

where:

w = work [J]

t = time [s]

We have the time, and the power therefore we can calculate the work done.

w = P * t

w = 149140 * 10 = 1491400 [J]

And finally, we can calculate the velocity using, the expression for kinetic energy

The key to solving this problem is to recognize that work equals kinetic energy