A Firecracker Breaks Up into Two Pieces, One of Which $21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }$

Multiple Choice

A firecracker breaks up into two 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. The second piece has a mass of 300 g and flies off along the +y -axis with a speed of 45.0 m/s. What is the total momentum of the two pieces?

A) $21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }$
B) $21.2 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 39.5 ^ { \circ } \text { from the } + x \text {-axis }$
C) $361 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 56.3 ^ { \circ } \text { from the } + x \text {-axis }$
D) $361 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 0.983 ^ { \circ } \text { from the } + x \text {-axis }$
E) $93.5 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s } \text { at } 28.8 ^ { \circ } \text { from the } + x \text {-axis }$