A block of mass \(m\) starts from rest and slides down a frictionless semi-circular track from a....

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A block of mass \(m\) starts from rest and slides down a frictionless semi-circular track from a height \(h\) as shown. When it reaches the lowest point of the track, it collides with a stationary piece of putty also having mass \(m\). If the block and the putty stick together and continue to slide, the maximum height that the block-putty system could reach is
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