Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following. *8 (a) the magnitude of the angular momentum of the system kg - m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg - m²/s

Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following. *8 (a) the magnitude of the angular momentum of the system kg - m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg - m²/s

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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in
circles around the point halfway between them at a speed of 5.90 m/s. Treating the astronauts as particles, calculate each of the following.
(a) the magnitude of the angular momentum of the system
kg. m²/s
(b) the rotational energy of the system
KJ
By pulling on the rope, the astronauts shorten the distance between them to 5.00 m.
(c) What is the new angular momentum of the system?
kg .m²/s
(d) What are their new speeds?
m/s
(e) What is the new rotational energy of the system?
|KJ
(f) How much work is done by the astronauts in shortening the rope?
kJ

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Step 3: Calculation for moment of inertia of given system.

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Step 4: Calculation for magnitude of angular momentum of given system.

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Step 5: Calculation for rotational energy of given system.

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