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A block is connected to a weight through a massless rope, which goes over a pull

ID: 1527582 • Letter: A

Question

A block is connected to a weight through a massless rope, which goes over a pulley. The block is given an initial push, so that it slides along the table to the right. There is friction between the block and the table. The mass of the hanging weight is larger than the mass of the block. The figure below shows the block while it is still moving to the right and the free body diagrams for the weight and the block.

Some students discuss the free-body diagrams.

Alice: “I see a problem in the diagram for the weight. The two forces should

have the same magnitude.”

Bob:   “But the weight is moving upward – there should be a greater force

            in that direction.”

Carlo: “No, that diagram is ok, but there is a problem with the diagram for

            the block. The frictional force is in the wrong direction.”

David:            “Both diagrams are correct, because they show the way both objects

            Would be accelerating.”

Who do you agree with? Explain your reasoning.

Alice ___       Bob ___      Carlo ___      David ___    None of them ___

While i agree with carlo, what about alice should the two objects have the same magnitude?

v 2 m/s block on table rope on weight +F table on block rope on block T Y F Earth on block F Earth on weight

Explanation / Answer

the force equation for it should read

Frope - Fweight = ma

But since the whole setup moves with constant velocity

So a = 0

Hence both magnitudes should be equal

Also

friction force should be acting on the block in backward direction

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