A block with a mass of 100 kg is pulled along a horizontal surface by a force of magnitude F as shown in the diagram. The coefficient of kinetic friction between the block and the surface is 0.6. A second, smaller, block with a mass of 20 kg rests on the first block. The coefficient of static friction between the two blocks is 0.7. What is the maximum value of F if the smaller block is not to slide over the larger block? (Hint: first find an expression for the maximum acceleration of the smaller block that the force of static friction between the blocks can produce.) m = 20 kg M = 100 kg F

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A block with a mass of 100 kg is pulled along a horizontal surface by a force of
magnitude F as shown in the diagram. The coefficient of kinetic friction between the
block and the surface is 0.6. A second, smaller, block with a mass of 20 kg rests on the
first block. The coefficient of static friction between the two blocks is 0.7. What is the
maximum value of F if the smaller block is not to slide over the larger block? (Hint:
first find an expression for the maximum acceleration of the smaller block that the force
of static friction between the blocks can produce.)
m = 20 kg
M = 100 kg
F
Transcribed Image Text:4. A block with a mass of 100 kg is pulled along a horizontal surface by a force of magnitude F as shown in the diagram. The coefficient of kinetic friction between the block and the surface is 0.6. A second, smaller, block with a mass of 20 kg rests on the first block. The coefficient of static friction between the two blocks is 0.7. What is the maximum value of F if the smaller block is not to slide over the larger block? (Hint: first find an expression for the maximum acceleration of the smaller block that the force of static friction between the blocks can produce.) m = 20 kg M = 100 kg F
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