Girl and Sled A 45 kggirl and an 8.4 kg sled are on the frictionless ice of a fr

Question

Girl and Sled A 45 kggirl and an 8.4 kg sled are on the frictionless ice of a frozenlake, 12 m apart but connected by arope of negligible mass. The girl exerts a horizontal 5.5 N force on the rope. (a) What is the acceleration of the sled?
1 m/s2
(b) What is the acceleration of the girl?
2 m/s2
(c) How far from the girl's initial position do they meet?
3 m (a) What is the acceleration of the sled?
1 m/s2
(b) What is the acceleration of the girl?
2 m/s2
(c) How far from the girl's initial position do they meet?
3 m

Explanation / Answer

mass of girl m = 45 kg mass of sled m ' = 8.4 kg separation between girl and sled S = 12 m Horizontal force on the rope F = 5.5 N (a) . Accleration of sled a = F / m '                                        = 0.6547 m / s ^ 2 (b). Accleration of the girl a ' = -F / m                                            = -0.1222 m / s ^ 2

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