Question

The center of mass is defined as a point on the straight line between two objects with masses m1 and m2

such that L1/L2= m1/m2
What are the coordinates of the center of mass?​

Answer 1

The correct answer is D.

Explanation:

I got it right on the Edmentum test.

Answer 2

Explanation:

given n particles of masses m1, m2, .... mn located at points (x1, y1), ... (xn,yn) the coordinates of the center of mass are given by

`x_c = (\sum_(i=1)^(n)m_ix_i)/(\sum_(i=1)^(n)m_i)`

`y_c = (\sum_(i=1)^(n)m_iy_i)/(\sum_(i=1)^(n)m_i)`

So, using this formulas we get that

`x_c = (m_1x_1+m_2x_2)/(m_1+m_2)`

`y_c = (m_1y_1+m_2y_2)/(m_1+m_2)`

which corresponds to answer D