Question

Two particles have a total mass of 10.0g. Particle A is located on the x-axis at xA=2.0 cm, while particle B is located on the x-axis at xB=4.0 cm. The center of mass of this two-particle systems is located at xcm=3.4 cm. Calculate the mass of each particle?

Answer 1

$x=\frac{x_am_a+x_b(10-m_a)}{10},\implies$

$m_a=3~g,~m_b=7~g.$