Two wooden crates rest on top of one another. The smaller top crate has a mass of m1 = 15 kg and the larger bottom crate has a mass of m2 = 88 kg. There is NO friction between the crate and the floor, but the coefficient of static friction between the two crates is μs = 0.85 and the coefficient of kinetic friction between the two crates is μk = 0.66. A massless rope is attached to the lower crate to pull it horizontally to the right (which should be considered the positive direction for this problem). 1)The rope is pulled with a tension T = 249 N (which is small enough that the top crate will not slide). What is the acceleration of the small crate? m/s2 2)In the previous situation, what is the frictional force the lower crate exerts on the upper crate? N 3)What is the maximum tension that the lower crate can be pulled at before the upper crate begins to slide? N 4)The tension is increased in the rope to 1194 N causing the boxes to accelerate faster and the top box to begin sliding. What is the acceleration of the upper crate? m/s2 5)As the upper crate slides, what is the acceleration of the lower crate? m/s2
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Two wooden crates rest on top of one another. The smaller top crate has a mass of m1 = 15 kg and the larger bottom crate has a mass of m2 = 88 kg. There is NO friction between the crate and the floor, but the coefficient of static friction between the two crates is μs = 0.85 and the coefficient of kinetic friction between the two crates is μk = 0.66. A massless rope is attached to the lower crate to pull it horizontally to the right (which should be considered the positive direction for this problem).
1)The rope is pulled with a tension T = 249 N (which is small enough that the top crate will not slide). What is the acceleration of the small crate?
m/s2
2)In the previous situation, what is the frictional force the lower crate exerts on the upper crate?
N
3)What is the maximum tension that the lower crate can be pulled at before the upper crate begins to slide?
N
4)The tension is increased in the rope to 1194 N causing the boxes to accelerate faster and the top box to begin sliding. What is the acceleration of the upper crate?
m/s2
5)As the upper crate slides, what is the acceleration of the lower crate?
m/s2
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