A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a 14 ft chute inclined at 35◦. The surface of the chute has a coefficient of kinetic friction μk, and at its lower end, it smoothly lets the crate on to a horizontal trajectory. The horizontal surface at the end of the chute has a coefficient of kinetic friction μk2. Model the crate as a particle, and assume that gravity and the contact forces between the crate and the sliding surface are the only relevant forces. Using conservation law methods, if μk= 0.35, what is the speed with which the crate reaches the bottom of the chute (immediately before the crate’s trajectory becomes horizontal)?
A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a 14 ft chute inclined at 35◦. The surface of the chute has a coefficient of kinetic friction μk, and at its lower end, it smoothly lets the crate on to a horizontal trajectory. The horizontal surface at the end of the chute has a coefficient of kinetic friction μk2. Model the crate as a particle, and assume that gravity and the contact forces between the crate and the sliding surface are the only relevant forces. Using conservation law methods, if μk= 0.35, what is the speed with which the crate reaches the bottom of the chute (immediately before the crate’s trajectory becomes horizontal)?
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