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11) A 30.0-kg block is resting on a flat horizontal table. On top of this block

ID: 2116365 • Letter: 1

Question

11) A 30.0-kg block is resting on a flat horizontal table. On top of this block is resting a 15.0-kg block, to which a horizontal spring is attached, as the drawing illustrates. The spring constant of the spring is 325 N/m. The coefficient of kinetic friction between the lower block and the table is 0.600, and the coefficient of static friction between the two blocks is 0.900. A horizontal force vecF is applied to the lower block as shown. This force is increasing in such a way as to keep the blocks moving at a constant speed. At the point where the upper block begins to slip on the lower block, determine the amount by which the spring is compressed and the magnitude of the force F%u20D7 .


Explanation / Answer

a) Spring compression. This part of the answer isn't very tough. Focus on the upper block. Which force on this block would cause it to slide over the lower block? In order to cause slippage, such a force would have to overcome friction. Now, friction is given by the weight of the upper block times the coefficient of friction between the blocks. This is 15

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