An 80-G Bullet Is Suddenly Shot into a 4 $1400 \mathrm {~N} / \mathrm { m }$

Multiple Choice

An 8.0-g bullet is suddenly shot into a 4.0-kg block,at rest on a frictionless horizontal surface,as shown in the figure.The bullet remains lodged in the block.The block then moves against a spring and compresses it by 8.9 cm.The force constant (spring constant) of the spring is $1400 \mathrm {~N} / \mathrm { m }$ What is the magnitude of the impulse on the block (including the bullet inside) due to the spring during the entire time interval during which the block compresses the spring?

A) 13 N ∙ s
B) 12 N ∙ s
C) 10 N ∙ s
D) 8.3 N ∙ s
E) 6.7 N ∙ s