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crono_
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Homework Statement
It takes 241 kJ of work to accelerate a car from 22.0 m/s to 28.8 m/s. What is the car's mass?
W = 241000 J
vo = 22.0 m/s
vf = 28.8 m/s
m = ?
Homework Equations
KE = 1/2 mv2
W = KEf - KEo
The Attempt at a Solution
W = KEf - KEo
W = 1/2 mvf2 - 1/2 mvo2
I was trying to solve for m as everything else is known, but I think I got stuck somewhere in the algebra.
W = 1/2 (mvf2 - mvo2)
2W = mvf2 - mvo2
2W / vf2 - vo2 = m - m
That's as far as I got. I'm wondering if by switching the sides of the equation so that their signs would change if then m - m could become m + m, thus 2m. Then divide both sides by 2.
Does that seem right?
Thanks!