Question

6. (a) A metal block of mass 100 kg is to be dragged across a rough floor using a rope inclined at 30° to the horizontal. The coefficient of static friction is 0.75. What is the smallest force required to move the block? (b) Having dragged the block across the floor, it now is to be dragged up a slope inclined at 20° to the horizontal. This time the rope is parallel to the plane. The coefficient of static friction is the same. What is the smallest force required to start moving the block up the slope? (c) Having dragged the block up the slope, we stop pulling on the rope. The slope is tilted further until the block just begins to slide down the plane because of its weight. At what angle does this happen? If the coefficient of kinetic friction is 0.7, at what rate will the block accelerate down the slope once it starts to move?

          6. (a) A metal block of mass 100 kg is to be dragged across a rough floor using a rope inclined at 30° to the horizontal. The coefficient of static friction is 0.75. What is the smallest force required to move the block?

(b) Having dragged the block across the floor, it now is to be dragged up a slope inclined at 20° to the horizontal. This time the rope is parallel to the plane. The coefficient of static friction is the same. What is the smallest force required to start moving the block up the slope?

(c) Having dragged the block up the slope, we stop pulling on the rope. The slope is tilted further until the block just begins to slide down the plane because of its weight. At what angle does this happen? If the coefficient of kinetic friction is 0.7, at what rate will the block accelerate down the slope once it starts to move?

6. (a) A metal block of mass 100 kg is to be dragged across a rough floor using a rope inclined at 30° to the horizontal. The coefficient of static friction is 0.75. What is the smallest force required to move the block?

(b) Having dragged the block across the floor, it now is to be dragged up a slope inclined at 20° to the horizontal. This time the rope is parallel to the plane. The coefficient of static friction is the same. What is the smallest force required to start moving the block up the slope?

(c) Having dragged the block up the slope, we stop pulling on the rope. The slope is tilted further until the block just begins to slide down the plane because of its weight. At what angle does this happen? If the coefficient of kinetic friction is 0.7, at what rate will the block accelerate down the slope once it starts to move?

Added by Elena W.

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