Two particles undergo a collision at the origin. Particle one has a mass of m_1

Question

Two particles undergo a collision at the origin. Particle one has a mass of m_1 and a velocity v_1i in the y direction. Particle two has a mass of m_2 and a velocity v_2i in the +x direction. Find the final velocities of the two particles in the following cases:

A) the particles undergo a perfectly inelastic collision. This must be solved in the stated frame of reference

B) the particles undergo an elastic collision. This is easier if solved in the center of mass frame of reference.

C) the particles miss.

Please explain thoroughly

Explanation / Answer

in perfectly inelastic collision the two object will stick together but the linear momentum of the system will remain conserved in any case.

- m1*v1 j + m2*v2 i = [m1+m2]*v

so direction of the both of the particles will be 45 degree clockwise from the x axis.

b> for elastic collision -

as we know centre of mass will not be disturbed in collision it travel on the same path as it was travelling before.

c> if the particle misses each other then velocities of them won't get affected.

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