Starting from rest, a companion cube of massm= 5.0 kg slides down a frictionless ramp. The ramp has a vertical height of H = 1.5 meter and makes a θ= 30 angle with the floor. After leaving the ramp, the companion cube slides along the floor. The floor’s coefficient of kinetic friction is μk= 0.20. (a) What is the companion cube’s speed at the bottom of the ramp? Solve this without using any kinematic formulas. (b) How much work does the floor do on the cube as the cube slows down and eventu-ally comes to rest? (c) How far along the floor does the cube slide before coming to rest?

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Starting from rest, a companion cube of massm= 5.0 kg slides down a frictionless ramp. The ramp has a vertical height of H = 1.5 meter and makes a θ= 30 angle with the floor. After leaving the ramp, the companion cube slides along the floor. The floor’s coefficient of kinetic friction is μk= 0.20.

(a) What is the companion cube’s speed at the bottom of the ramp? Solve this without using any kinematic formulas.

(b) How much work does the floor do on the cube as the cube slows down and eventu-ally comes to rest?

(c) How far along the floor does the cube slide before coming to rest?

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