1. Two blocks of masses m1=4.00 kg and m2=8.00 kg are eachreleased from rest at
ID: 1681878 • Letter: 1
Question
1. Two blocks of masses m1=4.00 kg and m2=8.00 kg are eachreleased from rest at a height of 5.00 m on a frictionless track,and undergo an elastic head-on collision. a) Draw a picture of the problem with proper labels. b) Determine the velocity of each block just before thecollision. c) Determine the velocity of each block immediately after thecollision. d) Determine the maximum heights to which m1 and m2 rise aftercollision. Track is U shaped. 1. Two blocks of masses m1=4.00 kg and m2=8.00 kg are eachreleased from rest at a height of 5.00 m on a frictionless track,and undergo an elastic head-on collision. a) Draw a picture of the problem with proper labels. b) Determine the velocity of each block just before thecollision. c) Determine the velocity of each block immediately after thecollision. d) Determine the maximum heights to which m1 and m2 rise aftercollision. Track is U shaped.Explanation / Answer
(a) let u1 and u2i be the velocitiesof m1 and m2 just before the collision thenfrom the law of conservation of energy we get u1 = - u2 = (2 g h)(1 /2) = …... m / s (b) the velocites of the two blocks after collisionbe v1, v2 then from the law of conservation of momentum weget (4.00 kg) v1 + (8.00 kg) v2 =(4.00 kg) u1 + (8.00 kg) (- u2) but for elastic head on collision we have v1 + u1 = v2 +u2 on solving the above two equations we get v1 = ........... m / s v2 = ........... m / s (c) the maximum heights to which m1reaches after collision is h1 = v12 / 2 g = .......... m h2 = v22 / 2 g = .......... m
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