Three cars approach an intersection: an 800 kg car moves in the positive x-direction at $10\text{m/s}$, a 1200 kg car moves in the negative x-direction at $5\text{m/s}$, and a 900 kg car moves in the positive y-direction at $12\text{m/s}$. What is the total momentum of this system of three cars? Give your answer as a magnitude and an angle counterclockwise from the positive x-axis.

• A. $1.1\times {10}^4\mathrm{kg}\cdot \text{m/s}$. $10°$
• B. $1.3\times {10}^4\mathrm{kg}\cdot \text{m/s}$. $80°$
• C. $1.8\times {10}^4\mathrm{kg}\cdot \text{m/s}$. $38°$
• D. $4.9\times {10}^4\mathrm{kg}\cdot \text{m/s}$. $45°$
• E. $4.9\times {10}^4\mathrm{kg}\cdot \text{m/s}$. $80°$
• F. $1.1\times {10}^4\mathrm{kg}\cdot \text{m/s}$ , $80°$