Two wooden crates rest on topof one another. The smaller top crate has a mass of m1 = 22 kg andthe larger bottom crate has a mass of m2 = 91 kg. There is NOfriction between the crate and the floor, but the coefficient ofstatic friction between the two crates is µs = 0.84 and thecoefficient of kinetic friction between the two crates is µk =0.66. A massless rope is attached to the lower crate to pull ithorizontally to the right (which should be considered the positivedirection for this problem).
1)The rope is pulled with a tensionT = 466 N (which is small enough that the top crate will notslide). What is the acceleration of the small crate? Correct:Answer: 4.12m/s.
2)In the previous situation,what is the frictional force the lower crate exerts on the uppercrate?
Correct Answer: 90m/s
3)What is the maximum tension that thelower crate can be pulled at before the upper crate begins toslide? Correct Answer 930N
4)The tension is increased in the rope to1322 N causing the boxes to accelerate faster and the top box tobegin sliding. What is the acceleration of the uppercrate?
5)As the upper crate slides, what is theacceleration of the lower crate?
