Solveeit Logo

Question

Question: A particle of mass m moving towards the east with speed u collides with another particle of same mas...

A particle of mass m moving towards the east with speed u collides with another particle of same mass and same speed v moving towards north. If two particles stick together, the new particle of mass 2m will have a speed of

A

v

B

v2\frac{v}{2}

C

v2\frac{v}{\sqrt{2}}

D

v√2

Answer

v2\frac{v}{\sqrt{2}}

Explanation

Solution

2mv′ = (mv)2+(mv)2=mv2\sqrt{(mv)^{2} + (mv)^{2}} = mv\sqrt{2} ⇒ v′ = v2\frac{v}{\sqrt{2}}