Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is mm, where mh. Students derive the following equation for the relationship between the distance dd and the height h. (see image) (b) Whether or not this equation is correct, does it match the reasoning below? Justify your answer. if the experiment were repeated where the height h above the floor was increased, the distance that the block after the hanging object hits the floor would increase. this is because if the height h increases, the force acting on block M due to hanging mass m will last longer, which gives block M more kinetic energy -
Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is mm, where m<M, and the block-hanging object system is released from rest. The hanging object falls for a distance hh, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d>h.
Students derive the following equation for the relationship between the distance dd and the height h. (see image)
(b) Whether or not this equation is correct, does it match the reasoning below? Justify your answer.
if the experiment were repeated where the height h above the floor was increased, the distance that the block after the hanging object hits the floor would increase. this is because if the height h increases, the force acting on block M due to hanging mass m will last longer, which gives block M more kinetic energy --> helps it travel farther.
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