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# 1.I want its solution w.r.t. ground, c.o.m, w.r.t. wedge.2.Can you explain the story of pseudo forces in all three cases

Eshan
3 years ago
Dear student,

When it reaches highest point, it will have no component of velocity along vertical direction. Hence both will have common velocity,say v, along horizontal direction. From conservation of momentum,

$\dpi{80} (m_1v_1-m_2v_2)=(m_1+m_2)v$
$\dpi{80} \implies v=\dfrac{m_1v_1-m_2v_2}{m_1+m_2}$
From conservation of energy,

Gravitational potential energy gained=Loss in kinetic energy
$\dpi{80} \implies m_1gh=\dfrac{1}{2}m_1v_1^2+\dfrac{1}{2}m_2v_2^2-\dfrac{1}{2}(m_1+m_2)v^2$

Hope it helps.