A sled and rider with a combined mass of 50 kg are at the top of a hill 20 m abo

Question

A sled and rider with a combined mass of 50 kg are at the top of a hill 20 m above the level of ground below. The sled is given a push providing an initial kinetic energy at the top of the hill of 1050 J. (a) Choosing a reference level at the bottom of the hill, what is the potential energy of the sled and rider at the top of the hill? J (b) After the push, what is the total mechanical energy of the sled and rider at the top of the hill? J (c) If friction can be ignored, what will the kinetic energy of the sled and rider be at the bottom of the hill? J

Explanation / Answer

A sled and rider with a combined mass of 40 kg are at the top of a hill a height of 20 m above the level ground below. The sled is given a push providing an initial kinetic energy at the top of the hill of 1200 J. (a) Choosing a reference level at the bottom of the hill, what is the potential energy of the sled and rider at the top of the hill? 1 J (b) After the push, what is the total mechanical energy of the sled and rider at the top of the hill? 2 J (c) If friction can be ignored, what will be the kinetic energy of the sled and rider be at the bottom of the hill? 3 J a) The PE = (+) mgh with respect to the bottom of the hill PE = 40kg x 9.80N/kg x 20m .. .. .. ?PE = 7840 J b) Total energy at hilltop = PE + KE .. .. (7840 + 1200)J .. .. .. ?Et = 9040 J c) At bottom of hill all PE ? KE KE total = PE + initial KE = (7840 + 1200)J .. .. .. ?KEt = 9040 J

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