Mathematics (AS & A Level) · May / June 2024 · Paper 41 · Question 3
9709
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A train of mass 180 000 kg ascends a straight hill of length 1.5 km, inclined at an angle of 1.5° to the horizontal. As it ascends the hill, the total work done to overcome the resistance to motion is 12 000 kJ and the speed of the train decreases from ms 45 1 - to ms 40 1 - . Find the work done by the engine of the train as it ascends the hill, giving your answer in kJ. [4]
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