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Slope of Incline, Power and Energy

A. A tank of mass 80 metric tons is travelling at a uniform speed of 54 KM/hr on a level terrain. It then starts travelling uphill on an incline of 1 in 10 (sine slope). Calculate the extra power required from the engine in megawatts to maintain the same speed on the incline.

b. When it has travelled 100m up the incline the driver stops and has a drink. He places an empty can of cola on the ground so that it can roll. The can weighs 50g and the radius of rotation k of the can is r:

i) Calculate the energy of the can at the top and bottom of the slope and the form it takes.

ii) Calculate the speed of the can at the bottom of the slope.

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