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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.

Find Curve Track On eBay Below:

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EZ Track Half Section 125 Radius Curve 6 Bachmann 44822 N Scale
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BACHMANN 1 160 N SCALE 19 RADIUS CURVED TRACK NICKEL SILVER  44804 F S
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ATLAS 1 160 N SCALE TRUE TRACK 125 RADIUS CURVED TRACK 8 PACK ITEM  2412 F S
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MINITRIX 14972 CONNECTOR CURVED TRACK NEW N SCALE
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MINITRIX 14984 CURVED ISOLATION TRACK 24 DEG R 1 NEW N SCALE
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MINITRIX 14918 CURVED TRACK 15 DEG R 5 NEW N SCALE
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MINITRIX 14956 LEFT CURVED TURNOUT NEW N SCALE
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MINITRIX 14927 CURVED TRACK 15 DEG R 4 NEW N SCALE
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MINITRIX 14922 CURVED TRACK 30 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 14916 CURVED TRACK 6 DEG R 1 NEW N SCALE
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MINITRIX 14924 CURVED TRACK 24 DEG R 2 NEW N SCALE
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MINITRIX 14926 CURVED TRACK 6 DEG R 2 NEW N SCALE
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MINITRIX 14981 CURVED TURNOUT LEFT R3 R4 NEW N SCALE
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MINITRIX 14914 CURVED TRACK 24 DEG R 1 NEW N SCALE
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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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Bachmann BAC44802 N Scale 1125 Radius Curve Terminal Rerailer E Z Track Nickel
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Kato N Scale 20 176 UNITRACK Compact R117mm 4 5 8 Radius 45 Curve Track
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KATO N SCALE UNITRACK CURVED TRACK 13 3 4 RADIUS 45 DEGREE 4 PC NEW 20 132
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