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Curve Track

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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.

Find Curve Track On eBay Below:

Kato 20 187 Concrete Slab Double Track Curve 414 381mm WR414 381 45S N scale
Kato 20 187 Concrete Slab Double Track Curve 414 381mm WR414 381 45S N scale
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Bachmann N Scale EZ Track 1125 Radius Curved Terminal Rerailer 44802 1371
Bachmann N Scale EZ Track 1125 Radius Curved Terminal Rerailer 44802 1371
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Kato 20120 N Gauge Unitrack Curved Track R12 3 8 45 Degree R315 45 4pcs New
Kato 20120 N Gauge Unitrack Curved Track R12 3 8 45 Degree R315 45 4pcs New
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N Scale Kato 20 140 Curved Track R381 30 Deg R15 30 Deg 4 Pack Package
N Scale Kato 20 140 Curved Track R381 30 Deg R15 30 Deg 4 Pack Package
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N Scale Kato 20 100 Curved Track R249 45 Deg R9 3 4 45 Deg 4 Pack Package
N Scale Kato 20 100 Curved Track R249 45 Deg R9 3 4 45 Deg 4 Pack Package
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N Scale Kato 23 039 15 30 Degree Curve Viaduct Sections with Unitrack 2 Pieces
N Scale Kato 23 039 15 30 Degree Curve Viaduct Sections with Unitrack 2 Pieces
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Kato 20 132 348mm 13 3 4 45 Curve Track R348 45 N scale
Kato 20 132 348mm 13 3 4 45 Curve Track R348 45 N scale
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Bachmann 24 Circle OF Nickel Silver E Z Track 11 Curved 1 Curved Plug In
Bachmann 24 Circle OF Nickel Silver E Z Track 11 Curved 1 Curved Plug In
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Kato 20 530 348mm Single Viaduct Curve Track R348 45V
Kato 20 530 348mm Single Viaduct Curve Track R348 45V
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Kato 20 160 481mm 19 Radius 15 Curve Track R481 15 N scale
Kato 20 160 481mm 19 Radius 15 Curve Track R481 15 N scale
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Kato 20 188 Concrete Slab Double Track Easement Curve WR414 381SAR N scale
Kato 20 188 Concrete Slab Double Track Easement Curve WR414 381SAR N scale
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TOMIX N Scale  3065 Curved Double Track Girder Bridge C317 280 15 Gray new
TOMIX N Scale 3065 Curved Double Track Girder Bridge C317 280 15 Gray new
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Kato 20 101 249mm 9 3 4 15 Curve Track R249 15 N scale
Kato 20 101 249mm 9 3 4 15 Curve Track R249 15 N scale
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Atlas N Scale Code 80 19 Radius Curve Bulk Model Train Track Single Piece
Atlas N Scale Code 80 19 Radius Curve Bulk Model Train Track Single Piece
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Tomytec Building 059 Station D for C317 outer curve track 1 150 N scale
Tomytec Building 059 Station D for C317 outer curve track 1 150 N scale
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6 Bachmann N Scale EZ Track 1125 Radius Curved Rerailer Terminal Train Track
6 Bachmann N Scale EZ Track 1125 Radius Curved Rerailer Terminal Train Track
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Kato 20530 N Single Track Curved Viaduct R34813 3 4 45 Degree R348 45V 2pcs
Kato 20530 N Single Track Curved Viaduct R34813 3 4 45 Degree R348 45V 2pcs
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Kato 20 110 282mm 11 Radius 45 degrees Curve Track R282 45 N scale F S wTrack
Kato 20 110 282mm 11 Radius 45 degrees Curve Track R282 45 N scale F S wTrack
$18.16
Kato 20 170 216mm 8 Radius 45 Curve Track R216 45 N scale
Kato 20 170 216mm 8 Radius 45 Curve Track R216 45 N scale
$5.60
Kato 20 172 UNITRACK Compact R183mm 7 Radius 45 Curve Track N scale
Kato 20 172 UNITRACK Compact R183mm 7 Radius 45 Curve Track N scale
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Kato 20 824 UNITRACK Curved Bridge Set R481 60 19 481mm 60d Red N scale
Kato 20 824 UNITRACK Curved Bridge Set R481 60 19 481mm 60d Red N scale
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Kato 20 286 Turntable Extension Track Curve N scale Japan new
Kato 20 286 Turntable Extension Track Curve N scale Japan new
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Tomix 1796 Wide Tram Super Mini Curved Track C140 30 WTFx2 C140 60 WTFx2
Tomix 1796 Wide Tram Super Mini Curved Track C140 30 WTFx2 C140 60 WTFx2
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BACHMANN N SCALE E Z TRACK 1125 INCH RADIUS CURVE 6 PIECES eztrack 44801 NEW
BACHMANN N SCALE E Z TRACK 1125 INCH RADIUS CURVE 6 PIECES eztrack 44801 NEW
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KATO N gauge curve line R315 45 degree 4 pieces 20 120 model railroad supplies
KATO N gauge curve line R315 45 degree 4 pieces 20 120 model railroad supplies
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KATO N gauge curve line R216 45 degree 4 pieces 20 170 model railroad supplies
KATO N gauge curve line R216 45 degree 4 pieces 20 170 model railroad supplies
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KATO HO gauge curve line R550 225 degre 4 pieces 2 210 model railroad supplies
KATO HO gauge curve line R550 225 degre 4 pieces 2 210 model railroad supplies
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Rokuhan Z gauge R019 Classic track curve rail R127 26 degree 2 bottles F S Track
Rokuhan Z gauge R019 Classic track curve rail R127 26 degree 2 bottles F S Track
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LOT of 2 N KATO UNITRACK 20 544 Dbl Viaduct Track Superelevated Curve R414 45
LOT of 2 N KATO UNITRACK 20 544 Dbl Viaduct Track Superelevated Curve R414 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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Model Railroad N Scale Track Lot Of Seven 7 NEW 2526 42 total curve sections
Model Railroad N Scale Track Lot Of Seven 7 NEW 2526 42 total curve sections
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Atlas no 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6  Nickel Silver
Atlas no 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
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Atlas 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
Atlas 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
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Atlas item 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
Atlas item 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
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Atlas 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
Atlas 2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
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Atlas item2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
Atlas item2510 N Scale Code 80 9 3 4 Radius Curve Snap Track 6 Nickel Silver
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42 pcs Lot N scale MISC CURVED TRACK for Model Train Layouts  Displays
42 pcs Lot N scale MISC CURVED TRACK for Model Train Layouts Displays
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E Z TRACK 6 CURVED Pieces 11 1 4 Radius by Bachmann N Scale Lot Mayhayred
E Z TRACK 6 CURVED Pieces 11 1 4 Radius by Bachmann N Scale Lot Mayhayred
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N scale Kato Unitrak lot set R249 45 curve track viaduct girder
N scale Kato Unitrak lot set R249 45 curve track viaduct girder
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Fleischmann N 22221 Curved Track R1 Radius 7 21 32in 30 New
Fleischmann N 22221 Curved Track R1 Radius 7 21 32in 30 New
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