A Block of Mass M = 34 Kg and Speed $0.50 \mathrm {~m} / \mathrm { s }$

Multiple Choice

A block of mass m = 34 kg and speed V is behind a block of mass M = 81 kg and speed of $0.50 \mathrm {~m} / \mathrm { s }$ 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 $0.90 \mathrm {~m} / \mathrm { s }$ What is the magnitude of the impulse on the 34-kg block due to the collision?

A) 32 N ∙ s
B) 14 N ∙ s
C) 41 N ∙ s
D) 57 N ∙ s
E) 73 N ∙ s