Answered: How fast is the 1900-kg second stage…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 31P

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A two-stage rocket is traveling at 4300 m/s before the stages separate. The 3500-kg first stage is pushed away from the second stage with an explosive charge, after which the first stage continues to travel in the same direction at a speed of 2700 m/s.

How fast is the 1900-kg second stage traveling after separation?

Express your answer with the appropriate units. Enter a positive value if the stage moves in the direction of motion of the rocket and a negative value if the stage moves in the direction opposite to the direction of motion of the rocket.

Expert Solution

Step 1

Given:

A two-stage rocket.

Before separation of stages, rocket's velocity is $u = 4300 m / s$

Mass of first stage is $m_{1} = 3500 kg$

Mass of second stage is $m_{2} = 1900 kg$

After separation first stage travels in the same direction with velocity $v_{1} = 2700 m / s$

Consider positive value if stage moves in direction of motion of rocket and negative is stage moves in opposite to rocket's motion.

Find:

Velocity of second stage after separation.

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