Mass 30.0 g is located at the origin.Where is mass 10.0 g located if the coordinates of the center of mass are (0.00 cm,10.0 cm)?
A) (0.00 cm,20.0 cm)
B) (0.00 cm,5.00 cm)
C) (0.00 cm,7.50 cm)

Question

Quizplus · Accepted Answer

The center of mass formula is:

x_cm = (m1*x1 + m2*x2)/M_total

where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, x1 and x2 are their respective x-coordinates, and M_total is the total mass.

Plugging in the given values, we get:

0.00 cm = (30.0 g)*(0.00 cm) + (10.0 g)*x2)/(30.0 g + 10.0 g)

Solving for x2, we get:

x2 = (0.00 cm)*(30.0 g + 10.0 g) - (10.0 g)*(0.00 cm)
         /10.0 g 
   
x2 = 0.00 cm + 0.00 cm = 0.00 cm

Therefore, the mass of 10.0 g is also located at the origin. The correct choice is B) (0.00 cm, 5.00 cm).

Mass 300 G Is Located at the Origin