Question

Given the points (2,2), (-2,1), and (-4,3) with masses 2g, 3g, and 4g, what is the x-coordinate of the Center of Mass?

a) 0
b) -2
c) -3
d) -1

Answer 1

The x-coordinate of the Center of Mass is -3. Hence the correct answer is option C

Step-by-step explanation:

To find the x-coordinate of the Center of Mass, we need to use the formula:
xCM = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)
Where m1, m2, and m3 are the masses and x1, x2, and x3 are the x-coordinates of the points. Substituting the given values into the formula:
xCM = (2g*2 + 3g*(-2) + 4g*(-4)) / (2g + 3g + 4g) = -3

Hence the correct answer is option C