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D1 PBL: Gravitational potential support

A 1kg ball is at the bottom of the 10m deep, round hole shown in the image.The ball is pushed out of the hole at constant speed by exerting a force in the horizontal direction.By copying the image into LoggerPro you can analyse the curve to find that it"s equation is y = 0.5x2 -10To calculate the works done as the ball is pushed up the slope you need to know the gradient at each point. differentiating the function gives...

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