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Curve Track

What is the max height after an elastic collision?

two blocks are set free to slide along the frictionless wooden track that is curved from the left downward and gradually flattens out at the bottom. a block m1 has a mass of 5 kg is released from the top of the curved track. protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of m2 with a mass of 10 kg initally at rest at the bottom of the curved track right when the track flattens out. the two blocks never touch. what is the max height that m1 rises after the collision?

When the two blocks collide they excnage momentums
in the center of mass frame of reference,
and their velocities change sign, but not absolute value.

The speed of the the CM is eqaul to
m1/(m1 +m2) = 1/3 of the speed of the lighter block.

The velocity of the lighter block after it bounced is
1/3 - (1 - 1/3) = -1/3 of its vlocity before the collison.

Its kinetic energy is proportional to velocity square,
i.e 1/9 of its energy before the collision.

Answer: max height is 1/9 of initial height.

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KATO N scale curved track R315 45  4 pieces 20 120 Model Train Model
KATO N scale curved track R315 45 4 pieces 20 120 Model Train Model
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Kato 20 160 N 19 Radius 15 Degree Curved Track Sections 4
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Kato 20160 N UNITRACK CURVED TRACK R19 15 Degree 4 Gray Roadbed Train New I
Kato 20160 N UNITRACK CURVED TRACK R19 15 Degree 4 Gray Roadbed Train New I
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Kato 40 102 UNITRAM Street Track Curve R180mm 45d Right N scale New Japan
Kato 40 102 UNITRAM Street Track Curve R180mm 45d Right N scale New Japan
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Kato 20 140 381mm 15 Radius 30 Curve Track R381 30 N scale New Japan
Kato 20 140 381mm 15 Radius 30 Curve Track R381 30 N scale New Japan
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Kato 20 160 481mm 19 Radius 15 Curve Track R481 15 N scale New Japan
Kato 20 160 481mm 19 Radius 15 Curve Track R481 15 N scale New Japan
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Kato 20 505 N 249mm 9 3 4 Single Track Viaduct Curve Track 2 UniTrack
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MINITRIX 14914 CURVED TRACK 24 DEG R 1 NEW N SCALE
MINITRIX 14914 CURVED TRACK 24 DEG R 1 NEW N SCALE
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MINITRIX 14986 CURVED ISOLATION TRACK 24 DEG R 2 NEW N SCALE
MINITRIX 14986 CURVED ISOLATION TRACK 24 DEG R 2 NEW N SCALE
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MINITRIX 14917 CURVED TRACK 15 DEG R 3 NEW N SCALE
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MINITRIX 14972 CONNECTOR CURVED TRACK NEW N SCALE
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MINITRIX 14924 CURVED TRACK 24 DEG R 2 NEW N SCALE
MINITRIX 14924 CURVED TRACK 24 DEG R 2 NEW N SCALE
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MINITRIX 14912 CURVED TRACK 30 DEG R1 1966 MM NEW N SCALE
MINITRIX 14912 CURVED TRACK 30 DEG R1 1966 MM NEW N SCALE
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MINITRIX 14928 CURVED TRACK 15 DEG R 6 5262 MM NEW N SCALE
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MINITRIX 14927 CURVED TRACK 15 DEG R 4 NEW N SCALE
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MINITRIX 14981 CURVED TURNOUT LEFT R3 R4 NEW N SCALE
MINITRIX 14981 CURVED TURNOUT LEFT R3 R4 NEW N SCALE
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MINITRIX 14918 CURVED TRACK 15 DEG R 5 NEW N SCALE
MINITRIX 14918 CURVED TRACK 15 DEG R 5 NEW N SCALE
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MINITRIX 14984 CURVED ISOLATION TRACK 24 DEG R 1 NEW N SCALE
MINITRIX 14984 CURVED ISOLATION TRACK 24 DEG R 1 NEW N SCALE
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Kato 20 545 Double Track Viaduct Curve WR414 381VSAL WR414 381VSAR N scale
Kato 20 545 Double Track Viaduct Curve WR414 381VSAL WR414 381VSAR N scale
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Bachmann 1125quot Radius Curved Track 6 Card N Scale
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Tomix N Scale 1795 Wide Tram Super Mini Curved Track C103 WT
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Kato 20 520 Single Curved Viaduct R315 45 2
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Kato HO Scale 2 840 Manual Left Turnout with 490mm Radius Curve P490L
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Kato N Scale 20 530 348mm Single Viaduct  Curve Track R348 45V
Kato N Scale 20 530 348mm Single Viaduct Curve Track R348 45V
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Kato N Scale 20 181 414 381mm 45 Curve Track WR414 381 45PC
Kato N Scale 20 181 414 381mm 45 Curve Track WR414 381 45PC
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Kato N Scale 20 184 Easement Curve Track WR315 282PCAL
Kato N Scale 20 184 Easement Curve Track WR315 282PCAL
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Tomix N Scale 1772 Wide PC 317mm Radius 45 Curve C317 45 WPF 4 pcs
Tomix N Scale 1772 Wide PC 317mm Radius 45 Curve C317 45 WPF 4 pcs
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Tomix N Scale 1198 391mm Radius 45Curve Track C391 45 PCF 4 pcs
Tomix N Scale 1198 391mm Radius 45Curve Track C391 45 PCF 4 pcs
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Tomix N Scale 1771 Wide PC 280mm Radius 45 Curve Track C280 45 WPF 4 pcs
Tomix N Scale 1771 Wide PC 280mm Radius 45 Curve Track C280 45 WPF 4 pcs
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Tomix N Scale 1797 Wide Tram Super Mini Curved Track C177 WT
Tomix N Scale 1797 Wide Tram Super Mini Curved Track C177 WT
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Tomix N Scale 1740 Wide PC 541mm R15 Curve Track C541 15 WP
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Tomix N Scale 1113 Super mini Rail Curve Track C177F
Tomix N Scale 1113 Super mini Rail Curve Track C177F
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Tomix N Scale 1192 317mm Radius 45 Curve Track C317 45
Tomix N Scale 1192 317mm Radius 45 Curve Track C317 45
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Tomix N Scale 1195 243mm Radius 45 Curve Track C243 45 PCF 4 pcs
Tomix N Scale 1195 243mm Radius 45 Curve Track C243 45 PCF 4 pcs
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Tomix N Scale 1854 280mm Radius 15 Curve Track C280 15F 4 pcs
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Kato N Unitram Street Track Curve L KAT40101
Kato N Unitram Street Track Curve L KAT40101
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Bachmann N E Z Track Gray Nickel Silver 1 2 Section 125 Radius Curve 44822
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Kato N scale 20 100 Curve Track R249 45 4pcs
Kato N scale 20 100 Curve Track R249 45 4pcs
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Fleischmann N 22227 s Curved Track R6 18 29 32In 15 12 Pieces
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Fleischmann N 22224 S Curved Track R3a 11 5 8in 30 12 Pieces
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