The shipping crate shown weighs 13 kg and is initially hooked to a stretched spring (stretched length ?1 0.8 m, spring constant k = 1 kN/m, unstretched length ?? = 50 cm). The crate is released from rest at Position ?, which is elevated 20 cm from the ground, after which it initially moves up the incline. The spring completely detaches from (and stops interacting with) the crate once the crate has stopped moving up the incline. Assume that the crate maintains its velocity as it transfers from the frictionless slope to the rough horizontal surface (no tumbling). Disregard the geometry of the crate. (a) Determine the work (J) done by friction if the crate makes a complete stop at Position ? after travelling ∆?? = 9 m horizontally from point ?. (b) Calculate the coefficient of kinetic friction between the crate and the rough surface. (c) Find the deceleration (m/s2) experienced by the crate due to friction with the rough surface. Hint: For (b) and (c), FMA Method may be used in conjunction with Work-Energy method.
The shipping crate shown weighs 13 kg and is initially hooked to a stretched spring (stretched length ?1 0.8 m, spring constant k = 1 kN/m, unstretched length ?? = 50 cm). The crate is released from rest at Position ?, which is elevated 20 cm from the ground, after which it initially moves up the incline. The spring completely detaches from (and stops interacting with) the crate once the crate has stopped moving up the incline. Assume that the crate maintains its velocity as it transfers from the frictionless slope to the rough horizontal surface (no tumbling). Disregard the geometry of the crate.
(a) Determine the work (J) done by friction if the crate makes a complete stop at Position ? after travelling ∆?? = 9 m horizontally from point ?.
(b) Calculate the coefficient of kinetic friction between the crate and the rough surface.
(c) Find the deceleration (m/s2) experienced by the crate due to friction with the rough surface.
Hint: For (b) and (c), FMA Method may be used in conjunction with Work-Energy method.
Step by step
Solved in 2 steps with 1 images
