Shot 2 Shot 1 d12
To apply the theorem of conservation of energy to solve kinetic problems.Two children are trying to shoot a marble of mass m into a small box of negligible height using a spring-loaded device; as shown, this device is bolted onto a table and shoots horizontally from the edge of the table. (Figure 1)The edge of the table is a height H above the top of the box and the center of the box is a horizontal distance d from the edge of the table. (Recall that the box has negligible height and, therefore, the top of the box is level with the floor.) The spring has a spring constant k. The first child compresses the spring a distance x1 and finds that the marble falls short of its target by a horizontal distance d12
By what distance, x2, should the second child compress the spring so that the marble lands in the middle of the box?
Express your answer in terms of m, k, g, H, and d
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