A mass ‘ m ’ moves with a velocity v and collides inelastically with another identical mass. After collision t

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A mass ‘ m ’ moves with a velocity v and collides inelastically with another identical mass. After collision the 1st mass moves with velocity v/√(3) in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision: ![image](https://pub-7faa453bd1ec4bf0a

Accepted Answer

Let the initial velocity be along the x-axis:

v_{1} = v \hat{i}

.After collision:

v_{1, f ina l} = \frac{v}{3} \hat{j}

Let

v_{2, f ina l} = v_{x} \hat{i} + v_{y} \hat{j}

.Conservation of momentum:X-axis:

m v = m v_{x} ⟹ v_{x} = v

Y-axis:

0 = m (v / 3) + m v_{y} ⟹ v_{y} = - v / 3

Speed of 2nd mass:

∣ v_{2, f ina l} ∣ = v_{x}^{2} + v_{y}^{2} = v^{2} + (- v / 3)^{2}

= v^{2} + v^{2} /3 = 4 v^{2} /3 = \frac{2 v}{3}

A mass ‘ $m$ ’ moves with a velocity $v$ and collides inelastically with another identical mass. After collision the 1st mass moves with velocity $v / 3$ in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision:

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A mass ‘m ’ moves with a velocity v and collides inelastically with another identical mass. After collision the 1st mass moves with velocity v/3​ in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision: