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June 2013 p41 q2
3608
A car of mass 1250 kg travels from the bottom to the top of a straight hill of length 600 m, which is inclined at an angle of 2.5° to the horizontal. The resistance to motion of the car is constant and equal to 400 N. The work done by the driving force is 450 kJ. The speed of the car at the bottom of the hill is 30 m s-1. Find the speed of the car at the top of the hill.
Solution
First, calculate the increase in potential energy (PE):