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# Initially stable two particles X and Y start moving towards each other under mutual attraction.If at one time the velocity of X and Y v and 2v respectively.What will be the centre of mass of the system?

Asked by akhiltr55 19th February 2020, 11:03 PM
Let the centre of mass (CM) be at origin of coordinate system and each particle X and Y are in x-axis

If rx and -ry are respective x-coordinates of particle X and Y , then we have

mx rx - my ry = 0 ........................(1)

when they approach each other , if their respective velocities are v and 2v,

then we have,    mx v - my 2v = 0 ..............(2)

[ CM will not move ]

from eqn.(2), we get, mx =  2 my ............(3)

using the equation (3) , if we substitute mx in eqn.(1), we get , rx = ry / 2
Answered by Expert 20th February 2020, 8:24 AM
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