The centre of mass of two particles with masses 4 kg and 2 kg located at (1, 0, 1) and (2, 2, 0) respectively has coordinates

Options

A. (1/3, 2/3, 2/3)
B. (4/3, 1/3, 1/3)
C. (2/3, 1/3, 1/3)
D. (4/3, 2/3, 2/3)

Answer

D

Explanation

Here, `m_(1)=4kg, m_(2)=2kg`
`x_(1)=1, y_(1)=0, z_(1)=1 and x_(2)=2, y_(2)=2, z_(2)=0`
The coordinates of centre are `x=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2))=(4 times 1+2 times 2)/(4+2)=8/6=4/3`
`y=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2))=(4 times 0+2 times 2)/(4+2)=4/6=2/3`
`z=(m_(1)z_(1)+m_(2)z_(2))/(m_(1)+m_(2))=(4 times 1+ 2times0)/(4+2)=4/6=2/3`