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Question 3 part 2 and 3 please?

1 Answer

Jun 28, 2018

$x_max$ =sqrt{ $m_1$ u²- [( $m_1$ u)²] / [ $m_1$ + $m_2$ ]/k}

Explanation:

conservation of momentum
$m_1$ u= ( $m_1$ + $m_2$ )V

conservation of energy
$1/2$ $m_1$ u²= $1/2$ $m_1$ V² + $1/2$ $m_2$ V²+ $1/2$ k $x_max$ ²

$m_1$ u²-( $m_1$ + $m_2$ )V²=k $x_max$ ²

$m_1$ u²- [( $m_1$ u)²] / [ $m_1$ + $m_2$ ]=k $x_max$ ²

$x_max$ =sqrt{ $m_1$ u²- [( $m_1$ u)²] / [ $m_1$ + $m_2$ ]}/k

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