Question

Our favorite crate full of armored armadillos is sitting at the bottom of a hill that is inclined 41° above the horizontal. The crate is 75 kg and the coefficient of kinetic friction between the crate and the ground is 0.31. Samer decides to drag the crate to the top of the hill, which is 20 m above the base of the hill. Samer attaches a thin rope to the crate so that when he pulls, the rope will be parallel with the hill. (a) (10 points) If Samer accelerates the crate up the hill with the total work that samer does on the crate, to get it to the top of the hill. a constant 0.25 , determine (b) (8 points) The instant before the crate reaches the top of the hill, it snaps! The crate proceeds to slide back down the hill. Determine the velocity of OFCFOAA the instant it reaches the bottom of the hill. (c) (7 points) Determine the coefficient of static friction necessary to keep the crate stationary, once the rope snaps.

1. Our favorite crate full of armored armadillos is sitting at the bottom of a hill that is inclined 41° above the horizontal. The crate is 75 kg and the coefficient of kinetic friction between the crate and the ground is 0.31. Samer decides to drag the crate to the top of the hill, which is 20 m above the base of the hill. Samer attaches a thin rope to the crate so that when he pulls, the rope will be parallel with the hill. (a) (10 points) If Samer accelerates the crate up the hill with the total work that samer does on the crate, to get it to the top of the hill. a constant 0.25 , determine (b) (8 points) The instant before the crate reaches the top of the hill, it snaps! The crate proceeds to slide back down the hill. Determine the velocity of OFCFOAA the instant it reaches the bottom of the hill. (c) (7 points) Determine the coefficient of static friction necessary to keep the crate stationary, once the rope snaps.

Answer 1

2m CB (30. 1-s) - ,leS 41 Cos4 75X 6.25 F- 0.2m/s 03 6 3. S8N a s41 foree aplied samer +20S 2 X (o. 2s)s . 3 (30.48-s) . 3( SJz 30.48 S 2 29.59 wor done 6 3. S8X -^9-61 J 1993 2.74J Tit

(b.) v2 24 5. 2. o-^ 2x 4. 14-X 3 o. 48 Ams (C) Cos4 O.&6 uefticieut of static friction

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