Two particles of masses 1kg and 2kg are located at `x=0` and `x=3m`. Find the position of their centre of mass.

Options

A. `2 5m`
B. `2 m`
C. `2.5 m`
D. `1 m`

Answer

B

Explanation

Since, both the particle lie on x-axis, the CM will also lie on x-axis, Let the CM be located at x=x, then
`r_(1)`=distance of CM from the particle of mass 1Kg = x
and `r_(2)` = distance of CM from the particle of mass 2Kg = (3-x)

Using, `r_(1)/r_(2) = m_(2)/m_(1)`
we get, `(x)/(3-x) = 2/1` or `x=2m`
Thus, the CM of the two particles is located at x=2m.