A car's engine can accelerate a car from rest to 30 m/s in 6 s. if the car's mass is 1300 kg, what is the power of the engine?
can someone give me the answer because i just want to verify it with my own?
thank you!
the answer i got is 288600W
power= work/time= 1/2 m v^2 / tune
I don't get that result.
can you tell me exactly what you did instead of just giving me the formula?
please and thank you
To expand upon bobpursley's solution:
P = W/t =(1/2 m v^2)/t = (m v^2)/(2t)
m = 1300 kg, v = 30 m/s, t = 6 s
The work is equal to the change in kinetic energy, which, since it started from rest, is simply (1/2) m v^2
The formula given is the definition of power.
Sure! I can help you verify the answer and explain how to calculate the power of the engine.
To find the power of the engine, you need to use the formula: Power = Work / Time.
First, let's calculate the work done by the engine to accelerate the car. The work done is equal to the change in kinetic energy.
The initial kinetic energy of the car is zero since it is at rest. The final kinetic energy is given by the formula: KE = (1/2) * mass * velocity^2.
Given that the mass of the car is 1300 kg and the final velocity is 30 m/s, we can calculate the final kinetic energy:
KE = (1/2) * 1300 kg * (30 m/s)^2.
Next, let's calculate the time taken to accelerate the car from rest to 30 m/s. The time is given as 6 seconds.
Now, we can calculate the work done by the engine using the formula: Work = change in kinetic energy.
Work = KE - 0 = (1/2) * 1300 kg * (30 m/s)^2.
Finally, we can calculate the power of the engine using the formula: Power = Work / Time.
Power = (1/2) * 1300 kg * (30 m/s)^2 / 6 s.
Now, let's calculate this:
Power = (1/2) * 1300 kg * (900 m^2/s^2) / 6 s.
Power = 585000 J / 6 s = 97500 J/s.
Therefore, the power of the engine is 97500 Watts.
I hope this helps you verify the answer!