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Mechanic Principle Of Energy

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A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass. The 9kg mass is initially moving up the slope at a rate of 1.5 m/s. How far has the mass traveled when it comes to a stop and what will its velocity be when it has then slid back down the slope a distance of 3m?

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Mechanic principles of energy is embodied.

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Weights (mg) of the two masses act downwards as shown in the fig. Weight of the 9 kg mass has been resolved into components perpendicular and parallel to the inclined plane.
T is the tension in the string.

Net force acting on the 9 kg block ...

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