Question

A mass M moving with velocity 'v' along x-axis collides and sticks to another mass 2M which is moving along Y-axis with velocity 3v. After collision, the velocity of the combination is ______.

Options

• `"v"/3hat"i" - 2"v"hat"j"`

• `"v"hat"i" + "v"/3hat"j"`

• `"2v"/3hat"i" + hat"j"`

• `"v"/3hat"i" + 2"v"hat"j"`

Answer 1

A mass M moving with velocity 'v' along x-axis collides and sticks to another mass 2M which is moving along Y-axis with velocity 3v. After collision, the velocity of the combination is `underline("v"/3hat"i" + 2"v"hat"j")`.

Explanation:

`"M" xx "v"hat"i" + 2"M" xx 3"v"hat"j" = 3"M"vec"v"`

`"v"hat"i" + 6"v"hat"j" = 3 vec"v"`

`"v"/3hat"i" + 2"v"hat"j" = vec"v"`