Question
Asked Oct 24, 2019
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A 30,000 kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it.  What is the final velocity of the loaded freight car?
Group of answer choices
0.642 m/s
0.417 m/s
0.269 m/s
0.182 m/s
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Expert Answer

Step 1
The total momentum of the system must be conserved. The initial speed of the scrap metal is
zero, so that the initial momentum of the system will be equal to initial momentum of the freight
car. The momentum conservation principle can be expressed as
ту, 3 (m, + m,)v,
Here, m is the mass of the freight car, v is the initial velocity of the freight car, m2 is the mass
is the final velocity of the loaded freight car
of the scrap metal and
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The total momentum of the system must be conserved. The initial speed of the scrap metal is zero, so that the initial momentum of the system will be equal to initial momentum of the freight car. The momentum conservation principle can be expressed as ту, 3 (m, + m,)v, Here, m is the mass of the freight car, v is the initial velocity of the freight car, m2 is the mass is the final velocity of the loaded freight car of the scrap metal and

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Physics

Kinematics

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