A bomb of mass `m` at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the x-axis at `x=40cm` and another is at `x=20cm, y=-60cm`. The position of the third piece is

Options

A. x = 60 , y = 60 cm
B. `x = -60 cm , y = -60 cm `
C. `x = - 60 cm , y = 60 cm `
D. `x = 60 cm , y = -60 cm `

Answer

C

Explanation

Coordinates of masses `m_(1) = m , m_(2) = m , m_(3) = m ` are (40,0) ,(20,-60) & `(x_(3),y_(3))` respectively , `(x_(cm) , y_(cm)) = (0,0)`