A Super Dart of Mass 20 G, Traveling at $30 ^ { \circ }$

Multiple Choice

A super dart of mass 20 g, traveling at 350 m/s, strikes a steel plate at an angle of $30 ^ { \circ }$ with the plane of the plate, as shown in the figure. It bounces off the plate at the same angle but at a speed of 320 m/s. What is the magnitude of the impulse that the plate gives to the bullet?

A) $4.3 \mathrm {~N} \cdot \mathrm { s }$
B) $300 \mathrm {~N} \cdot \mathrm { s }$
C) $0.30 \mathrm {~N} \cdot \mathrm { s }$
D) $6.7 \mathrm {~N} \cdot \mathrm { s }$
E) $0.52 \mathrm {~N} \cdot \mathrm { s }$