A ball of mass $m_1$ falls from height $h_1$ from rest to strike a spring of force constant $K$, which forces another ball of mass $m_2$ to jump on a horizontal floor at a height $h_2$ below from it. Find the horizontal distance at which ball of mass $m_2$ strikes from the position of start :- [Spring does not move]

815-221

  • A

    ${\left[ {\frac{{{m_1}{h_1}{h_2}}}{{{m_2}}}} \right]^{\frac{1}{2}}}$

  • B

    ${\left[ {\frac{{{4m_1}{h_1}{h_2}}}{{{m_2}}}} \right]^{\frac{1}{2}}}$

  • C

    ${\left[ {\frac{{{m_1}{h_1^2}{h_2}}}{{{m_2(h_1+h_2)}}}} \right]^{\frac{1}{2}}}$

  • D

    ${\left[ {\frac{{{m_1}{h_1}{h_2}}}{{{4m_2}}}} \right]^{\frac{1}{2}}}$

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