A dragster drives a quarter mile (402 m)at a constant rate of acceleration,starting from rest and finishing the race at a final speed of 450 km/hr.If the mass of the dragster is 975 kg,together with its driver,and rolling friction is ignored,what average power was developed by the engine,if 50% of the power developed by the engine was delivered to the wheels?

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Quizplus · Accepted Answer

The final speed is 450 km/hr, which is 125 m/s. Using the formula for kinetic energy (KE = 0.5 * m * v^2), the kinetic energy at the end is 0.5 * 975 kg * (125 m/s)^2. The work done is equal to this kinetic energy since it starts from rest. Power is work done over time, and time can be found using the formula v = at, where a is the acceleration. Solving for time and then power, considering only 50% of the engine power is delivered to the wheels, gives approximately 2.4 MW.

A Dragster Drives a Quarter Mile (402 M)at a Constant