An astronaut in her space suit has a total mass of $ m_1 = 89.0 \, \text{kg} $, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass $ m_2 = 12.0 \, \text{kg} $ away from her spacecraft with a speed $ v = 7.50 \, \text{m/s} $ to propel herself back toward it (see figure).---**Image Description:**The image shows an astronaut floating in space, indicated by a space suit. The astronaut is situated on the left, and an oxygen tank is shown on the right of the image. Arrows are used to illustrate motion: one pointing left from the astronaut and one pointing right from the oxygen tank.- **Astronaut:** Labeled with $ m_1 $.- **Oxygen Tank:** Labeled with $ m_2 $ and a red arrow pointing to the right illustrating velocity $ v $.---**Questions:**(a) Determine the maximum distance she can be from the craft and still return within $ 2.40 \, \text{min} $ (the amount of time the air in her helmet remains breathable).\[ \text{Distance:} \, \underline{\hspace{2cm}} \, \text{m} \](b) Explain in terms of Newton's laws of motion why this strategy works.\[ \text{Explanation:} \, \underline{\hspace{25cm}} \]---In this scenario, principles of physics, particularly Newton's Third Law, are applied to solve the problem of an astronaut propelling herself back to her spacecraft after losing tether connection.

Name: An astronaut in her space suit has a total mass of $ m_1 = 89.0 \, \
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Description: An astronaut in her space suit has a total mass of \( m_1 = 89.0 \, \text{kg} $, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, sh

Speed of the astronaut , v = 7.50 m/s Time left to return safely to spacecraft, t = 2.40 min = 144…

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An astronaut in her space suit has a total mass of m₁ = 89.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m₂ = 12.0 kg away from her spacecraft with a speed v = 7.50 m/s to propel herself back toward it (see figure). m₂ m₂ (a) Determine the maximum distance she can be from the craft and still return within 2.40 min (the amount of time the air in her helmet remains breathable). (b) Explain in terms of Newton's laws of motion why this strategy works.

An astronaut in her space suit has a total mass of m₁ = 89.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m₂ = 12.0 kg away from her spacecraft with a speed v = 7.50 m/s to propel herself back toward it (see figure). m₂ m₂ (a) Determine the maximum distance she can be from the craft and still return within 2.40 min (the amount of time the air in her helmet remains breathable). (b) Explain in terms of Newton's laws of motion why this strategy works.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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