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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.)

What is the final velocity `(v_(1f))` of the first stage.

A

`9/19` towards left

B

`9/19` towards right

C

`9/17` towards left

D

`9/17` towards right

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The correct Answer is:
A

Ans.(1)
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A three part rocket begins intact as a single object in distant outer space, travelling to the right at 4.0km//s . 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.

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