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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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2015 Atlas N Gauge Code 55 Track 125 Radius Half Curve Section NIB
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2011 Atlas N Gauge Code 55 Track 10 Radius Half Curve Section NIB
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2031 Atlas N Gauge Code 55 Track 71 Radius Curve Section NIB
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2014 Atlas N Gauge Code 55 Track 125 Radius Full Curve Section NIB
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2013 Atlas N Gauge Code 55 Track 1125Radius Half Curve Section NIB
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2012 Atlas N Gauge Code 55 Track 1125 Radius Full Curve Section NIB
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2021 Atlas N Gauge Code 55 Track 1625 Radius Half Curve Section NIB
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2019 Atlas N Gauge Code 55 Track 15 Radius Half Curve Section NIB
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