An 80-G Bullet Is Suddenly Shot into a 4 $10 \mathrm {~N} \cdot \mathrm { s }$

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 N/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) $10 \mathrm {~N} \cdot \mathrm { s }$
B) $13 \mathrm {~N} \cdot \mathrm { s }$
C) $8.3 \mathrm {~N} \cdot \mathrm { s }$
D) $12 \mathrm {~N} \cdot \mathrm { s }$
E) $6.7 \mathrm {~N} \cdot \mathrm { s }$