# work problem 1

**1. The problem statement, all variables and given/known data**

Gasoline has an energy content of 9.38 × 10^5 J/oz. If a car,

with a mass of 1500 kg, is accelerated to a speed of 29.1

m/s, how much gas is consumed by the engine, assuming

40% efficiency?

**2. Relevant equations**

w=fd

w= ΔKE

**3. The attempt at a solution**

So I started by multiplying the energy content of gasoline by .4 so I believe I could just treat it was being 100 percent efficient after that.

I then calculated the KE the car had at the end of it’s acceleration. 1/2*(1500kg)*(29.1 m/s)^2 = 635107.5 J. I then divided this by the amount of energy a car uses per oz of gasoline which was .4 * 9.38*10^5 J/oz to get the oz’s. Which was 1.69.

Is this all correct?

Thank you to anyone for their time.

http://ift.tt/1eZFq6W

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