21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 21, Problem 31QP
To determine
The change in the volume of a cube between moment shown in part (a) and (b).
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Problem A.1: Interstellar Mission (4 Points)You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3.(a) Calculate the time it takes your spaceship to reach Sirius.(b) Determine the mass of interstellar gas that collides with your spaceship during the mission.Note: Use 1.673 × 10−27 kg as proton mass.
Problem A.2: Time Dilation
Because you are moving with an enormous speed, your mission from the previous problem A.1 will be influenced by the eects of time dilation described by special relativity: Your spaceship launches in June 2020 and returns back to Earth directly a er arriving at Sirius.(a) How many years will have passed from your perspective?(b) At which Earth date (year and month) will you arrive back to…
You need to guide a robot from the red dot on the left to the green dot on the right, avoiding the blue
walls along the way.
units
To do this, you must feed it a series of commands of the form "turn degrees and move
forward". Angles are measured in degrees, with positive angles turning counterclockwise, and negative
angles turning clockwise. All turns are relative to the robot's current direction. The grid marks 1 unit
squares.
From the red starting dot, with the robot facing directly to the right, issue your commands: (all commands
should be given as decimal values)
Move 1: Turn
9
Move 2: Turn
Move 3: Turn
Move 4: Turn
degrees and move
degrees and move
degrees and move
degrees and move
units forward
units forward
units forward
units forward
Problem A.1: Interstellar Mission
You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3.
(a) Calculate the time it takes your spaceship to reach Sirius.(b) Determine the mass of interstellar gas that collides with your spaceship during the mission.
Note: Use 1.673 × 10−27 kg as proton mass.
Problem A.2: Time Dilation
Because you are moving with an enormous speed, your mission from the previous problem A.1 will be influenced by the effects of time dilation described by special relativity: Your spaceship launches in June 2020 and returns back to Earth directly after arriving at Sirius.
(a) How many years will have passed from your perspective?(b) At which Earth date (year and month) will you…
Chapter 21 Solutions
21st Century Astronomy
Ch. 21.1 - Prob. 21.1CYUCh. 21.2 - Prob. 21.2CYUCh. 21.3 - Prob. 21.3ACYUCh. 21.3 - Prob. 21.3BCYUCh. 21.4 - Prob. 21.4CYUCh. 21 - Prob. 1QPCh. 21 - Prob. 2QPCh. 21 - Prob. 3QPCh. 21 - Prob. 4QPCh. 21 - Prob. 5QP
Ch. 21 - Prob. 6QPCh. 21 - Prob. 7QPCh. 21 - Prob. 8QPCh. 21 - Prob. 9QPCh. 21 - Prob. 10QPCh. 21 - Prob. 11QPCh. 21 - Prob. 12QPCh. 21 - Prob. 13QPCh. 21 - Prob. 14QPCh. 21 - Prob. 15QPCh. 21 - Prob. 16QPCh. 21 - Prob. 17QPCh. 21 - Prob. 18QPCh. 21 - Prob. 19QPCh. 21 - Prob. 20QPCh. 21 - Prob. 21QPCh. 21 - Prob. 23QPCh. 21 - Prob. 24QPCh. 21 - Prob. 25QPCh. 21 - Prob. 26QPCh. 21 - Prob. 27QPCh. 21 - Prob. 28QPCh. 21 - Prob. 29QPCh. 21 - Prob. 30QPCh. 21 - Prob. 31QPCh. 21 - Prob. 32QPCh. 21 - Prob. 33QPCh. 21 - Prob. 34QPCh. 21 - Prob. 35QPCh. 21 - Prob. 36QPCh. 21 - Prob. 37QPCh. 21 - Prob. 38QPCh. 21 - Prob. 39QPCh. 21 - Prob. 40QPCh. 21 - Prob. 41QPCh. 21 - Prob. 42QPCh. 21 - Prob. 43QPCh. 21 - Prob. 44QPCh. 21 - Prob. 45QP
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