Two point masses slide together and lock on a horizontal air track

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Two point masses slide together and lock on a horizontal air track. Mass

m_1=2.0\,\text{kg}

is at

x=0.00\,\text{m}

and mass

m_2=3.0\,\text{kg}

is at

x=4.0\,\text{m}

. Calculate the

x

-coordinate of the center of mass of the combined system after they lock.