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 is µ. The block is connected to a hanging object over a pulley. The pulley has a negligible mass and friction. The string connected the two is very light and does not stretch. The students add mass to the hanging object so that its mass m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, 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 equations for the relationship between the distance d and the height h. h(m – HgM) Ha(M + m) - (d – h) = Students notice that the acceleration due to gravity does not appear in the equation above and assume that must be a mistake. Do you agree with them? Justify your answer.
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 is µ. The block is connected to a hanging object over a pulley. The pulley has a negligible mass and friction. The string connected the two is very light and does not stretch. The students add mass to the hanging object so that its mass m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, 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 equations for the relationship between the distance d and the height h. h(m – HgM) Ha(M + m) - (d – h) = Students notice that the acceleration due to gravity does not appear in the equation above and assume that must be a mistake. Do you agree with them? Justify your answer.
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Transcribed Image Text: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 is
µ. The block is connected to a hanging object over a pulley. The pulley has a negligible mass
and friction. The string connected the two is very light and does not stretch. The students
add mass to the hanging object so that its mass m, where m < M, and the block-hanging
object system is released from rest. The hanging object falls for a distance h, 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 equations for the relationship between the distance d and the
height h.
h(m – HgM)
Ha(M + m)
-
(d – h) =
Students notice that the acceleration due to gravity does not appear in the equation above
and assume that must be a mistake. Do you agree with them? Justify your answer.
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