Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 7 - Linear Momentum - General Problems - Page 196: 82

Answer

The mass of the air which is ejected should be 12 kg.

Work Step by Step

We can use conservation of momentum to solve this question. Let $m_A$ be the mass of the astronaut and let $m_B$ be the mass of the air. Therefore, $m_B~v_B = m_A~v_A$ $m_B = \frac{m_A~v_A}{v_B} = \frac{(210~kg)(2.0~m/s)}{35 ~m/s}$ $m_B = 12~kg$ The mass of the air which is ejected should be 12 kg.
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