Question

Please provide a full answer with detailed steps. Thank you.

3. A wagon loaded with gold (combined mass of 300 kg) starts sliding down from rest at the top of a 50 m frictionless incline, which makes an angle of 6 degrees with the horizontal. a) Using kinematics find the speed of the wagon at the bottom of the incline The wagon then continues to move on a level frictionless road. When the wagon is at a distance of 40 m from a cliff, two thiefs (mass 60 kg and 70 kg) simultaneously jump onto the wagon. b) If they land perfectly vertically on the wagon and need 5 seconds to grab all the gold and jump off the wagon, will they make it before the wagon goes over the cliff? You may assume that the thiefs (their shoes) experience sufficient friction with the surface of the wagon, so they do not slide.

Answer 1

N masino 10 ng mgcoso ma ng sino =gsino acceleration u = 0, & 2 ? sa som from v2 = d² +298 a v2 302 +2x90510 ** 219,8 & sin 6 x 50 102-437894 2 10 12 11607m/ b) and mx v 2 from conservation of angulas momentum Let combined relocity of wagen thieves be (m+ 600to) х of - 300 x 10 1 211.607 = (300 160t 7o) x vf - 7.06127431. m/s. Distance travelled in 5 seemde 55 = vext [as these & no acceleration] 40 m S5 7-0612.7491 x 5 m - 35.30637455 m As distance from cloft u when the thieves jump and they need 5 seconds to all the grab gold and jump off the wagon, hence So < 40m Thus will make it over before the they wagon ques the cliff. อิฐ