A particle of mass `1.0g` moving with velocity `v_1=3.0i-2.0j` experiences a perfectly inelastic collision with another particle of mass `2.0g` and velocity `v_2=4.0j-6.0k`. Find the velocity of the formed particle (both the vector v and its modulus), if the components of the vectors `v_1` and `v_2` are given in the SI units.

Explanation

From conservation of momentum, for the closed system "both colliding particles"
`m_1vecv_1+m_2vecv_2=(m_1+m_2)vecv`
or, `vecv=(m_1vecv_1+m_2vecv_2)/(m_1+m_2)=(1(3veci-2vecj)+2(4vecj-6veck))/(3)=veci+2vecj-4veck`
Hence `|vecv|=sqrt(1+4+16)m//s=4*6m//s`