A marble of mass X collides with a block of mass Z, with a velocity Y. and sticks to it. The final velocity of the system is
A marble of mass X collides with a block of mass Z, with a velocity Y. and sticks to it. The final velocity of the system is
(A) \(\frac{Y}{X+Y}Y\)
(B) \(\frac{X}{X+Z}Y\)
(C) \(\frac{X+Y}{Z}\)
(D) \(\frac{X+Z}{X}\)
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Correct Option is : (B) \(\frac{x.y}{x+z}\)
Conservation of momentum
\(m_1 \ u_1 + m_2 \ u_2 = v(m_1 +m_2)\)
\(x.y + z \times 0 = (x+z) v\)
\(v = \frac{x.y}{x+z}\)
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