Answer to Question #146554 in Classical Mechanics for janice

Question

A car generating a power of 97680.67watts is traveling on a road with a coefficient of kinetic friction of 0.051. If the velocity of it upon reaching its destination is 30.33m/s and has been accelerating at a rate of 3.56m/s2, what is the mass of the car?

Answer 1

Power can be given as

$P=Fv$

And $F=ma$

$P=mav\\m=\frac{P}{av}$

$m=\frac{97680.67}{30.33\times 3.56}\\m=904.6kg$

So mass of car is 904.6 kg