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Unformatted text preview: is mv 2 2 + 2 Mv 2 c 2 . At the maximum height the relative velocity of the block (respect to carts) is zero, so the block and the carts move as a whole system. To ﬁnd this velocity we again can use the conservation of momentum (this velocity is not equal to v c ). ( m + M ) v = ( m + 2 M ) v f v f = m + M m + 2 M v The conservation of energy gives us: mv 2 2 + 2 Mv 2 c 2 = mgh + ( m + 2 M ) v 2 f 2 mv 2 + 2 M ‡ v 2 · 2 = 2 mgh + ( m + M ) 2 (2 M + m ) v 2 h = Mv 2 4 g (2 M + m )...
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 Spring '08
 Lanzara
 Physics, Force, Momentum, Special Relativity, Collision, total momentum

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