A $8.00 \mathrm{~kg}$ Mass Is Moving At $5.00 \mathrm{~m} / \mathrm{s}$ SOUTH and A

A $8.00 \mathrm{~kg}$ mass is moving at $5.00 \mathrm{~m} / \mathrm{s}$ SOUTH and a $6.00 \mathrm{~kg}$ mass is moving at $7.00 \mathrm{~m} / \mathrm{s}$ EAST. Find the velocity of the center of mass, letting (a) = the east-west component, and $(\mathrm{b}) =$ the north-south component.

A) $\mathrm{a}=+0.50 \mathrm{~m} / \mathrm{s}, \mathrm{b}=+3.00 \mathrm{~m} / \mathrm{s}$ .
B) $\mathrm{a}=+42.0 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-40.0 \mathrm{~m} / \mathrm{s}$ .
C) $\mathrm{a}=-3.00 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-3.00 \mathrm{~m} / \mathrm{s}$ .
D) $\mathrm{a}=+3.00 \mathrm{~m} / \mathrm{s}, \mathrm{b}=+2.86 \mathrm{~m} / \mathrm{s}$ .
E) $\mathrm{a}=+3.00 \mathrm{~m} / \mathrm{s}, \mathrm{b}=-2.86 \mathrm{~m} / \mathrm{s}$ .