Friday, September 23, 2011

Change of kinetic energy of a car going up a hill?

A 1000 kg car drives up a hill that is 15.2 m high. During the drive, two nonconservative forces do work on the car: (i) the force of friction, and (ii) the force generated by the car's engine. The work done by friction is 鈭?.91脳105 J; the work done by the engine is 6.74脳105 J.

Find the change in the car's kinetic energy from the bottom of the hill to the top of the hill.
Change of kinetic energy of a car going up a hill?
the work energy theorem tells you that the amount of work done on an object = change in KE



work done on object = work due to friction + work due to engine + work done by gravity



work on object = -2.91x10^5J + 6.74x10^5J-mgh

work on object =3.83x10^5J - 1000 kg x 9.8m/s/s x 15.2m

work on object = 3.83x10^5J-1.49x10^5J = 2.34x10^5J



and this is the change in KE