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Physics / College Physics 1 / Chapter 8 / Problem 23

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Solved: Professional Application Train cars are coupled

Chapter 8, Problem 23

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QUESTION:

Problem 23PE

Professional Application Train 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 kg and a velocity of 0.300 m/s, and the second having a mass of 110,000 kg and a velocity of −0.120 m/s . (The minus indicates direction of motion.) What is their final velocity?

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QUESTION:

Problem 23PE

Professional Application Train 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 kg and a velocity of 0.300 m/s, and the second having a mass of 110,000 kg and a velocity of −0.120 m/s . (The minus indicates direction of motion.) What is their final velocity?

ANSWER:

Solution 23PE

Step 1 of 5

Two loaded train cars moving towards each other, the first car having the mass ${m}_{1}=150,000\ kg$ moving with velocity ${v}_{1}=0.3\ m/s$ and the second train car with mass of ${m}_{2}=110,000\ kg$ moving with velocity ${v}_{2}=-0.12\ m/s$ . After the collision, the cars are coupled together by being bumped into one another. Here we need to calculate the final velocity of that coupled train ${v}^{1}=?$ .

Given data,

Mass of first train car, ${m}_{1}=15\times{}{10}^{4}\ kg$

Velocity of first train car, ${v}_{1}=0.3\ m/s$

Mass of second train car, ${m}_{2}=11\times{}{10}^{4}\ kg$

Velocity of second train car, ${v}_{2}=-0.12\ m/s$

To find,

The final velocity of that coupled train ${v}^{1}=?$

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