A Block of Mass M=34 Kg and Speed $73 \mathrm {~N} \cdot \mathrm { s }$

Multiple Choice

A block of mass m=34 kg and speed V is behind a block of mass M=81 kg and speed of 0.50 m/s, as shown in the figure. The surface is frictionless and the blocks collide and couple. After the collision, the blocks have a common speed of 0.90 m/s. What is the magnitude of the impulse on the 34-kg block due to the collision?

A) $73 \mathrm {~N} \cdot \mathrm { s }$
B) $57 \mathrm {~N} \cdot \mathrm { s }$
C) $32 \mathrm {~N} \cdot \mathrm { s }$
D) $14 \mathrm {~N} \cdot \mathrm { s }$
E) $41 \mathrm {~N} \cdot \mathrm { s }$