A marble of mass X collides with a block of mass Z, with a velocity Y.

1.	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) \(\frac{X+Z}{X}\)
Answer» Correct Option is : (B) \(\frac{x.y}{x+z}\) Conservation of momentum \(m_1 \ u_1 + m_2 \ u_2 = v(m_1 +m_2)\) \(x.y + z \times 0 = (x+z) v\) \(v = \frac{x.y}{x+z}\) Correct option is: (B) \(\frac{X}{X+Z}Y\)

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) \(\frac{X+Z}{X}\)

Answer»

Correct Option is : (B) \(\frac{x.y}{x+z}\)

Conservation of momentum

\(m_1 \ u_1 + m_2 \ u_2 = v(m_1 +m_2)\)

\(x.y + z \times 0 = (x+z) v\)

\(v = \frac{x.y}{x+z}\)

Correct option is: (B) \(\frac{X}{X+Z}Y\)