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 160,000 kg and a velocity of 0.300 m/s, and the second having a mass of 135,000 kg and a velocity of  −0.120 m/s.  (The minus indicates direction of motion.) What is their final velocity (in m/s)?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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 160,000 kg and a velocity of 0.300 m/s, and the second having a mass of 135,000 kg and a velocity of 

−0.120 m/s.

 (The minus indicates direction of motion.) What is their final velocity (in m/s)?

Expert Solution
Step 1

According to Conservation of momentum, the total momentum of a system remains constant.

ptot = p′tot

Then conservation of momentum In the case of the collision between two masses is,

m1u1 + m2u2 = m1v1 + m2v2

where,

ptot =  total momentum before the collision

p′tot = total momentum after the collision

 

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