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A three part rocket begins intact as a s...

A three part rocket begins intact as a single object in distant outer space, travlling to the right at `4.0km//h`. The first stage `(m_(1)=950,000kg)` explodes away from the rear of the rocket, with an unknown final velocity `(v_(tf))`. Later, the second stage `(m_(2)=550,000 kg)` explodes away from teh rear with a final velocity to the right at `6.0 km//s`. The third stage `(m_(2)=350,000kg)` ends up with a final velocity to the right of `13.0 km//s`. (All three move only along the `x-`axis . Ignore gravity. Assume that all parts of the rocket have constant masses.)

Find the impulse received by the first rocket stage.

A

`3250000 kg-km//sec`

B

`4250000kg-km//sec`

C

`780000kg-km//sec`

D

`780000kg-km//sec`

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The correct Answer is:
B

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