A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown (See Figure P7.26) The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity.(A) What forces are acting on an astronaut in one of the cabins?(B) Write Newton's second law for an astronaut lying on the floor of on habitats, relating the astronaut's mass m, his velocity v, his radial distance from the hub r, and the normal force n. (C) What would n have to equal if the 60.0 kg astronaut is to experience half his normal Earth weight? (D)Calculate the necessary tangential speed of the habitat from Newton's second law.(E) Calculate the angular speed from the tangential speed.(F) Calculate the period of rotation from the angular speed.(G) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his head is he is 1.8 m tall. found reasonable? In other words, is she likely to stayon the merrY go-round?26. G A space habitat for a long space voyage consists oftwo cabins each connected by a cable to a central hubas shown in Figure P7.26. The cabins are set spinningaround the hub axis, which is connected to the rest of thespacecraft to generate artificial gravity. (a) What forcesare acting on an astronaut in one of the cabins? (b) WriteNewton's second law for an astronaut lying on the "floor"of one of the habitats, relating the astronaut's mass m, hisvelocity v, his radial distance from the hub r, and the nor-mal force n. (c) What would n have to equal if the 60.0-kgastronaut is to experience half his normal Earth weight?d) Calculate the necessary tangential speed of the habi-tat from Newton's second law. (e) Calculate the angularspeed from the tangential speed. (f) Calculate the periodof rotation from the angular speed. (g) If the astronautstands up, will his head be moving faster, slower, or at thesame speed as his feet? Why? Calculate the tangentialspeed at the top of his head if he is 1.80m tall.10.0 mFigure P7.26

Since there are multiple sub parts posted, we will answer the first three sub parts. a) The only…

Answered: found reasonable? In other words, is…

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

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 24P

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A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown (See Figure P7.26) The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity.

(A) What forces are acting on an astronaut in one of the cabins?

(B) Write Newton's second law for an astronaut lying on the floor of on habitats, relating the astronaut's mass m, his velocity v, his radial distance from the hub r, and the normal force n.

(D)Calculate the necessary tangential speed of the habitat from Newton's second law.

(E) Calculate the angular speed from the tangential speed.

(F) Calculate the period of rotation from the angular speed.

(G) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his head is he is 1.8 m tall.

found reasonable? In other words, is she likely to stay
on the merrY go-round?
26. G A space habitat for a long space voyage consists of
two cabins each connected by a cable to a central hub
as shown in Figure P7.26. The cabins are set spinning
around the hub axis, which is connected to the rest of the
spacecraft to generate artificial gravity. (a) What forces
are acting on an astronaut in one of the cabins? (b) Write
Newton's second law for an astronaut lying on the "floor"
of one of the habitats, relating the astronaut's mass m, his
velocity v, his radial distance from the hub r, and the nor-
mal force n. (c) What would n have to equal if the 60.0-kg
astronaut is to experience half his normal Earth weight?
d) Calculate the necessary tangential speed of the habi-
tat from Newton's second law. (e) Calculate the angular
speed from the tangential speed. (f) Calculate the period
of rotation from the angular speed. (g) If the astronaut
stands up, will his head be moving faster, slower, or at the
same speed as his feet? Why? Calculate the tangential
speed at the top of his head if he is 1.80m tall.
10.0 m
Figure P7.26

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