A particle of mass 'm' moving towards the east with speed 'v' collides with another particle of same mass and same speed 'v' moving towards the north. If the two particles stick to each other, the new particle of mass 2m will have a speed of?
Asked by nasir.mirza
13th June 2018,
10:47 PM
Answered by Expert
Answer:
In cartesian coordinate system, First particle moving towards East with speed v. hence its momentum 
Second particle moving towards North with speed v, hence its momentum 
where 
are unit vectors in +x direction and +y direction respectively
are unit vectors in +x direction and +y direction respectivelyInitial momentum before collision = 
Let 
be the velocity of combined mass 2m. Momentum after collision = 
...............(2)
be the velocity of combined mass 2m. Momentum after collision = ...............(2)by equating (1) and (2) and using conservation of momentum, we get 
magnatiude of is v/√2
is v/√2hence the combined mass 2m will move with speed v/√2 in NE direction
Answered by Expert
14th June 2018,
10:10 AM
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