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AP Physics 1
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Experimental setup showing spring-launched block, target block, and curved ramp.
Experimental setup showing spring-launched block, target block, and curved ramp.
A block of mass \(m\) on a horizontal, frictionless track is pushed against an ideal spring with spring constant \(k\), compressing it by a distance \(x\). When released from rest, the block separates from the spring and collides with an identical block of mass \(m\) initially at rest, sticking to it. The combined two-block system then slides up a frictionless curved ramp. In terms of \(k\), \(x\), \(m\), and fundamental constants, what is the maximum vertical height \(h\) reached by the two-block system on the ramp?

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