Problem

A 700 lb floating platform is at rest when a 200 lb crate is thrown onto it with a horizon...

A 700 lb floating platform is at rest when a 200 lb crate is thrown onto it with a horizontal speed υ0 = 12 ft/s. Once the crate stops sliding relative to the platform, the platform and the crate move with a speed υ = 2.667 ft/s. Neglecting the vertical motion of the system as well as any resistance due to the relative motion of the platform with respect to the water, determine the distance that the crate slides relative to the platform if the coefficient of kinetic friction between the platform and the crate is μk = 0.25.