1/2) On the planet Gizmo, the inhabitants travel by high speed trains that run on air tracks much like the air track you used in lab. 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 reasoning2/2) How much kinetic energy was lost in the collision?

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Asked Nov 7, 2019
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1/2) On the planet Gizmo, the inhabitants travel by high speed trains that run on air tracks much like the air track you used in lab. 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 reasoning

2/2) How much kinetic energy was lost in the collision?

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Expert Answer

Step 1
Gven Jrformation
m,8700
Uand ur are ini tal velocties
u mls
U22.2 mls
of both the train s
4 ms inal o velocities of both thains
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Gven Jrformation m,8700 Uand ur are ini tal velocties u mls U22.2 mls of both the train s 4 ms inal o velocities of both thains

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Step 2
Since there is no externol force momentum will be
conserued
mit m)v
miu,+
8700 + m,7
(8.to0)()-24m
)
8t0o () 8To0 ( 4 )
4m2-2-2m2
8f0o (1-41
42.2
= 33833-33 kq
Mass of second car m2 33833*
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Since there is no externol force momentum will be conserued mit m)v miu,+ 8700 + m,7 (8.to0)()-24m ) 8t0o () 8To0 ( 4 ) 4m2-2-2m2 8f0o (1-41 42.2 = 33833-33 kq Mass of second car m2 33833*

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Step 3
axt(b)
(m/tm2)V
2
Loss in kinetic energy
m2u2
굿(870) (u) -+ 늑(383-33) (12)-(mmgu
608226.658-7 (8100+3383333) (4)
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axt(b) (m/tm2)V 2 Loss in kinetic energy m2u2 굿(870) (u) -+ 늑(383-33) (12)-(mmgu 608226.658-7 (8100+3383333) (4)

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