A particle of mass m is moving with speed 2 v and collides with a mass 2 m moving with speed v in the same direction. After the collision, the first mass is stopped completely while the second one splits into two particles each of mass m , which move at an angle 45 o with respect to the original direction. The speed of each of the moving particle will be

Question

A particle of mass m is moving with speed 2 v and collides with a mass 2 m moving with speed v in the same direction. After the collision, the first mass is stopped completely while the second one splits into two particles each of mass m , which move at an angle 45 o with respect to the original direction. The speed of each of the moving particle will be, 2 v, v 2, 2 2 v, v 2 2

MARKS App · Accepted Answer

As 2 m splits into equal parts, v 1 = v 2 and θ = 4 5 0 From conservation of linear momentum, m 2 v + 2 m v = 2 m v 1 cos ⁡ 4 5 o ⇒ v 1 = v 2 = 2 2 v

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