Question

A particle of mass M moving towards west with speed V collides with another particle of mass M moving towards south if two particles stich to each other the speed of the new particle of mass 2m will be

Answer 1

A particle of mass M moving towards west with speed V . in vector form velocity of particle of mass M is $\vec{v_1}=-V\hat{i}$

another particle of mass M moving towards south , in vector form velocity of particle of mass M is $\vec{v_2}=-V\hat{j}$

we have to find velocity of system of particle, when particles collide and stitch to each other,
Let speed of system of particle is $\vec{v}$

use conservation of linear momentum because external force acts on particles is zero.
e.g.,$m_1v_1+m_2v_2=Mv$
$M(-V\hat{i})+M(-V\hat{j})=2M\vec{v}$
$\vec{v}=\frac{-1}{2}(V\hat{i}+V\hat{j})$

Answer 2

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Explanation: