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Professional ApplicationTrain cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of $150,000 \mathrm{kg}$ and a velocity of $0.300 \mathrm{m} / \mathrm{s},$ and the second having a mass of $110,000 \mathrm{kg}$ and a velocity of $-0.120 \mathrm{m} / \mathrm{s}$ . (The minus indicates direction of motion.) What is their final velocity?

$v ^ { \prime } = 0.122 \mathrm { ms } ^ { - 1 }$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

McMaster University

Lectures

04:30

In classical mechanics, im…

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In physics, impulse is the…

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Train cars are coupled tog…

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Two freight cars, each wit…

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A railroad car of mass 2.0…

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A railroad car with a mass…

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Professional Application

A car (mass $=1100 \mathrm…

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So here we have 2 cars m 1 and v 1 were in this direction and we have another car m, 2 and v 2 moving in this direction right with velocity v 2. Now, what happens is that these 2 cars here these 2 cars they couple right and suppose they move with a velocity of v and the combined mass is now m 1 plus i right so as we know that from the principle of conservation of momentum, the initial Momentum is the total initial momentum should be called to total faamoina rotato is equal to final. Mointthat is m 1 v, 1 plus m 2 v. 2 point: this is the total initial momentum right is equal to hyloideis m 1 plus m 2 b now m 1. Is how uchso m 1 here is? 1550100? Velocity is 0.3 now the velocity in second part, is negative right. So we write a minus here- 10100 into 0.1 2 point. So this is the initial moitoret again 1 percent 15 plus 112662800 times. So this gives me the velocity v of the couplet. Cars is 0.122 meters per second okay, this we have solved this problem.

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