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A 100 metric ton engine is moving up a s...

A 100 metric ton engine is moving up a slope of gradient `5^(@)` at a speed of 100 metre`//` hour. The coefficient of friction between the engine and the rails is 0.1. If engine has an efficiency of `4%` for converting heat into work, find the amount of coal the engine has to burn in one hour. Burning of 1 kg coal yields 50000J.

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