Exam-Style Problem
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June 2017 p41 q4
3529
A car of mass 800 kg is moving up a hill inclined at \(\theta\) to the horizontal, where \(\sin \theta = 0.15\). The initial speed of the car is 8 m s\(^{-1}\). Twelve seconds later the car has travelled 120 m up the hill and has speed 14 m s\(^{-1}\).
(i) Find the change in the kinetic energy and the change in gravitational potential energy of the car. [3]
(ii) The engine of the car is working at a constant rate of 32 kW. Find the total work done against the resistive forces during the twelve seconds. [3]
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