Your electric car has a mass of 1400 kg and accelerates from 0 to 60.0 mph (26.8

Question

Your electric car has a mass of 1400 kg and accelerates from 0 to 60.0 mph (26.80 m/s) in 6.0 seconds. How much kinetic energy does the car have at this speed?

What is the average power required by the car while it is accelerating?

If you have 12.0 V batteries how much current is required to deliver the average power?

If you have a battery charger that is supplied with power at 120.0 V and 20.0 A, how long will it take to replace the energy that was used to accelerate the car?

please show work!!!

Explanation / Answer

1)

m = 1400 kg

initial speed , u = 0 mph

final speed, v = 60 mph = 26.8 m/s

t = 6s

a)

kinetic energy = 0.5*m*v^2 = 0.5*1400*26.8^2 = 5.03*10^5 J

b)

avg power, P = energy/t = 5.03*10^5/6 = 8.38*10^4 W

c)

We know , Power = Voltage*current

So, P = V*I

So, I = P/V = 8.38*10^4/12 = 6982.9 A <----------answer

d)

power, = V*I = energy/time

So, time required = energy/(V*I) = (5.03*10^5)/(120*12) = 209.6 s <----------answer

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