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Social ScienceOn 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?
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?
Expert Answer
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
Reasoning:
Momentum is conserved in inelastic collision, but kinetic energy does not conserve.
By the conservation of momentum:
Total initial momentum = Total final momentum
Image Transcriptionclose
ти, + 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
Kinetic energy lost:
Initial...
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2 -ти,* + -т,и, = Plugging in the given values: K.E 0.5x8700x (11) +0.5x33833.33x(2.2) - 608226.65 joules
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