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 =4 kg , 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_1x_1+m_2x_2)/(m_1+m_2)=(4xx1+2xx2)/(4+2)=8/6=4/3`
`x=(m_1y_1+m_2y_2)/(m_1+m_2)=(4xx0+2xx2)/(4+2)=4/6=2/3`
`z=(m_1z_1+m_2z_2)/(m_1+m_2)=(4xx1+2xx0)/(4+2)=4/6=2/3`