Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_245

3/245 The flatbed truck is traveling at the constant speed of 60 km/h up the 15-percent grade when the 100-kg crate which it carries is given a shove which imparts to it an initial relative velocity \(\dot{x} = 3 \text{ m/s}\) toward the rear of the truck. If the crate slides a distance \(x = 2 \text{ m}\) measured on the truck bed before coming to rest on the bed, compute the coefficient of kinetic friction \(\mu_k\) between the crate and the truck bed.