Momentum: a Firecracker Breaks Up into Several Pieces, One of Which

Multiple Choice

Momentum: A firecracker breaks up into several pieces, one of which has a mass of 200 g and flies off along the x-axis with a speed of 82.0 m/s. A second piece has a mass of 300 g and flies off along the y-axis with a speed of 45.0 m/s. What are the magnitude and direction of the total momentum of these two pieces?

A) 361 kg∙m/s at 56.3° from the x-axis
B) 93.5 kg∙m/s at 28.8° from the x-axis
C) 21.2 kg∙m/s at 39.5° from the x-axis
D) 361 kg∙m/s at 0.983° from the x-axis
E) 21.2 kg∙m/s at 56.3° from the x-axis