# On the planet Gizmo, the inhabitants travel by high speed trains that run on air tracks. A train car with a mass of 8700 kg is traveling at 11.0 m/s when it strikes a second car moving in the same direction at 2.2 m/s. The two stick together and move off with a speed of 4.00 m/s. What is the mass of the second car? Explain your reasoning. How much kinetic energy was lost in the collision?

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On the planet Gizmo, the inhabitants travel by high speed trains that run on air tracks. A train car with a mass of 8700 kg is traveling at 11.0 m/s when it strikes a second car moving in the same direction at 2.2 m/s. The two stick together and move off with a speed of 4.00 m/s. What is the mass of the second car? Explain your reasoning. How much kinetic energy was lost in the collision?

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Step 1

Given values:

Mass of the first train car, m1 = 8700 kg

Speed of the first train car, u1 = 11.0 m/s

Let the mass of the second train car, m2 = m

Speed of the first train car, u2 = 2.2 m/s

Common speed of the both car V = 4.00 m/s

Step 2

Reasoning:

Momentum is conserved in inelastic collision, but kinetic energy does not conserve.

By the conservation of momentum:

Total initial momentum = Total final momentum help_outlineImage Transcriptioncloseти, + т,и, 3 (т, + т,)V Plugging in the given values: 8700 x11 mx 2.2 = (8700+ m)x4 95700 2.2m 34800 4m 60900 1.8m m 33833.33 kg fullscreen
Step 3

Kinetic energy lost:

Initial...

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