a 1500kg sports car accelerates from 0 to 30 m/s in 8 seconds. Whaat is the power of its engine? Please help
power= work/time= 1/2 m v^2/8
1/2(1500k)(30)^2 2/8
=168750
is this correct?
To calculate the power of the engine, you need to use the formula:
Power = Work / Time
In this case, the work done by the engine can be calculated using the kinetic energy formula:
Work = (1/2) * mass * velocity^2
Given that the mass of the sports car is 1500 kg and the velocity is 30 m/s, the work can be calculated as:
Work = (1/2) * 1500 kg * (30 m/s)^2
= (1/2) * 1500 kg * 900 m^2/s^2
= 675,000 Joules
Next, you need to divide the work by the time taken for the car to accelerate from 0 to 30 m/s, which is given as 8 seconds:
Power = 675,000 J / 8 s
= 84,375 Watts
So, the power of the car's engine is 84,375 Watts or approximately 84.375 kilowatts (kW).
Therefore, your initial calculation of 168,750 is incorrect. The correct power is 84,375 Watts.