The center of mass of a system of two particles divides the distance between them.

Options

A. in inverse ratio of square of masses of particles
B. in direct ratio of square of masses of particles
C. in inverse ratio of masses of particles
D. in direct ratio of masses of particles

Answer

C

Explanation

The ppsition of centre of mass of system for n particles is expressed as, `R_("CM")=(Sigmam_(i)r_(i))/(Sigmam_(i))" or "Sigmam_(i)r_(i)`=constant
Hence, for a system having particles, we have
`m_(1)r_(1)=m_(2)r_(2) rArr (r_(1))/(r_(2))=(m_(2))/(m_(1))`
i.e. the centre of mass of a system of two particle divides the distance between them in inverse ratio of massses of particles.