3. the center of mass (or center of gravity) of a two-particle system is at the origin. one particle
is located at (3.0 m, 0.0 m) and has a mass of 2.0 kg. the other particle has a mass of 3.0 kg.
what is the location of the 3.0-kg particle?
a) (-3.0 m, 0.0 m)
b) (-2.0 m, 0.0 m)
c) (2.0 m, 0.0 m)
d) (3.0 m, 0.0 m)

B) (-2.0 m, 0.0 m)

Explanation:

Given:

Mass of particle 1 is,

Mass of particle 2 is,

Position of center of mass is,

Position of particle 1 is,

Position of particle 2 is,

We know that, the x-coordinate of center of mass of two particles is given as:

Plug in the values given.

We know that, the y-coordinate of center of mass of two particles is given as:

Plug in the values given.

Therefore, the position of particle 2 of mass 3.0 kg is  (-2.0 m, 0.0 m).

So, option (B) is correct.