A body of mass 2 kg moving with a velocity of 3 m/s collides head-on with a body of mass.1kgmoving in opposite direction with a velocity of 4 m/s. After collision two bodies stick together and moves with a common velocity which in m/s is equal to

Options

A. `1/4`
B. `1/3`
C. `2/3`
D. `3/4`

Answer

C

Explanation

`m_1 v_1 - m_2 v_2 = (m_1 + m_2) v implies 2 xx 3 - 1 xx 4 = (2 + 1) v`
`6 - 4 = 3v " " therefore 2 = 3v, v = 2/3 m//s`