state Unive l course 17soHEM46 soseph per Lighth s Home Page IMchles McNeese Sta
ID: 3162707 • Letter: S
Question
state Unive l course 17soHEM46 soseph per Lighth s Home Page IMchles McNeese State u x Sapling Learning Using a simply pulley rope system, acrewman on 55.6 kg an Arctic expedition trying to lower a 5.26-kg is 223 meters. The 55.6-kg orewman is walking careful to lower the Unfortunately, when the orate reachesapoint I 526 kg 12,4 above the ground, the crewman steps on a slick patch ice and slips. The 22.3 m immediately accelerates toward the ground edge of the cliff 124 m M we assume the ice is perfectly slick (that is, no friction between the crewman and the ice once he slips and falls down), at what speed will the crate hit the ground? Assume also that the rope is long figure not to scale m/s At what speed will the crewman hit the bottom of the ravine? (Assume no air friction m/s o Next Exit O Previous Check Answer GatewayExplanation / Answer
a) acceleration = m g / (m + M)
= 5.26 * 9.8 / (5.26 + 55.6) = 0.847 m/s2
v1 = sqrt [vi2 + 2 a y]
= sqrt [1.52 + 2 * 0.847 * 12.4] = 4.82 m/s
b) v2 = sqrt [vi'2 + 2 g y']
= sqrt [4.822 + 2 * 9.8 * 22.3] = 21.45 m/s
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