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Mathematics (AS & A Level) · Oct / Nov 2019 · Paper 43 · Question 2

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A train of mass 150 000 kg ascends a straight slope inclined at !Å to the horizontal with a constant driving force of 16 000 N. At a point A on the slope the speed of the train is 45 m s−1. Point B on the slope is 500 m beyond A. At B the speed of the train is 42 m s−1. There is a resistance force acting on the train and the train does 4 × 106 J of work against this resistance force between A and B. Find the value of !. [5]

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