(a) Explanation Given data: Mass of the astronaut is 60 kg . The distance at which the astronaut is floating away from the spaceship is 10 m . Mass of the oxygen tank is 3 kg . The speed of the oxygen tank, relative to the ship, is 15 m/s . Formula used: The conservation of momentum principle for two bodies 1 and 2 implies m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f Here, m represents the mass, v represents the velocity, subscripts 1 and 2 represent the quantities for objects 1 and 2, respectively, and subscripts i and f represent initial and final conditions, respectively. Explanation: Consider astronaut as body 1 and oxygen tank as body 2. Consider the quantities measured in a direction away from the spaceship as positive and the quantities measured toward the spaceship as negative. Write the expression for conservation of momentum of astronaut's oxygen tank: m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f </ (b) To determine The time up to which a60-kgastronaut must hold her brea the before reaching the spaceship provided the astronaut is floating at a distance of 10 m from the spaceship.

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ISBN: 9780134601823

Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan

Publisher: Pearson,

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Chapter 6, Problem 55P

(a)

To determine

The speed at which a60-kgastronaut floating at a distance of 10 m from the spaceshipshould recoil toward the spaceship.

(b)

To determine

The time up to which a60-kgastronaut must hold her brea the before reaching the spaceship provided the astronaut is floating at a distance of 10 m from the spaceship.

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Chapter 6, Problem 54P

Chapter 6, Problem 56P

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The speed at which a60-kgastronaut floating at a distance of 10 m from the spaceshipshould recoil toward the spaceship.

Solution Summary: The author explains the conservation of momentum principle for two bodies 1 and 2. The initial momentum of the astronaut with the oxygen tank is zero, hence the equation is rewritten.

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The speed at which a60-kgastronaut floating at a distance of 10 m from the spaceshipshould recoil toward the spaceship.

The time up to which a60-kgastronaut must hold her brea the before reaching the spaceship provided the astronaut is floating at a distance of 10 m from the spaceship.

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