Question

In: Physics

You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius....

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.

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 aer 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 Earth?

Solutions

Expert Solution


Related Solutions

Snowball Earth: Mission to Planet Earth in the Distant Past In this class, we've learned about...
Snowball Earth: Mission to Planet Earth in the Distant Past In this class, we've learned about our planet, the Earth, and about many other planetary bodies in our solar system. We've seen that there are many interesting similarities and differences between them. The Earth resides in the warm inner solar system, near the Sun, but Venus and Mercury are even hotter than the Earth. Most of the solar system is farther from the Sun than the Earth is, so we've...
A star is located 100,000 light years from earth (1 light year = 10^6 m) has...
A star is located 100,000 light years from earth (1 light year = 10^6 m) has a power output 8 million tomes that of the Sun and with a mass 300 times that of the Sun. The intensity of the Sun's radiation at the location of the Earth is 1400W/m^2 where the average distance between the Sun and earth is 1.5x10^11m. 1. what is the power output of this star? 2. The energy of a photon (wavelength = 500nm) is...
5: As measured from Earth, the star Procyon is 11.4 light years away. Adam and Becca...
5: As measured from Earth, the star Procyon is 11.4 light years away. Adam and Becca are twins, and on the day of their 19th birthday Becca departs on a spaceship that will make the round trip to Procyon at a speed of 0.97c. Adam remains on Earth. a) Assuming she spends no time at the star, calculate Becca’s age when she returns to Earth. b) Calculate the difference in Becca and Adam’s ages when she returns to Earth. c)...
A distant galaxy emits light that has a wavelength of 596.8 nm. On earth, the wavelength...
A distant galaxy emits light that has a wavelength of 596.8 nm. On earth, the wavelength of this light is measured to be 601.9 nm. (a) Decide whether this galaxy is approaching or receding from the earth. (b) Find the speed of the galaxy relative to the earth. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.)
The light at the Earth from a certain star has an intensity of about 71.5×10-8W/m2. If...
The light at the Earth from a certain star has an intensity of about 71.5×10-8W/m2. If the star emits radiation with the same power as our Sun, how far away is it from Earth? NOTE: Use 1000 W/m^2 as the intensity of the Sun at the Earth!
A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the...
A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 2.00 × 106 m/s. Relative to the center, the tangential speed is vT = 0.380 × 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same...
1. A _________________ _________ causes light rays from a distant source to converge to a _____________...
1. A _________________ _________ causes light rays from a distant source to converge to a _____________ ______________ 2. Charging by induction, a charged rod is brought near a neutral conductor: the electrons in the conductor redistribute such that there is a net positive charge away from the rod (T/F) 3. Electrical resistivity doesn’t change when temperature changes (T/F) 4. With a magnetic core, the total magnetic field is increased by a factor of 10^3 to 10^4 relative to the field...
(a) Light from distant objects, such as stars, are imaged by a single lens. Assuming the...
(a) Light from distant objects, such as stars, are imaged by a single lens. Assuming the focal length of the lens is 10 cm and the aperture size is 2 cm, what is the minimum resolvable angle? Write every step. (b) The same lens is used for imaging an amplitude grating. What is the minimum grating spacing that will yield any intensity variation(s) on the image plane using (i) coherent and (ii) incoherent illumination? Be very specific in your answer...
The Andromeda galaxy is two million light-years from Earth, measured in the common rest frame of...
The Andromeda galaxy is two million light-years from Earth, measured in the common rest frame of Earth and Andromeda. Suppose you took a fast spaceship to Andromeda, so it got you there in 35 years as measured on the ship. If you sent a radio message home as soon as you reached Andromeda, how long after you left Earth would it arrive, according to timekeepers on Earth? My
Explain the hydrogen atom's "galactic recycling" process, from molecular cloud to star to interstellar gas back...
Explain the hydrogen atom's "galactic recycling" process, from molecular cloud to star to interstellar gas back to molecular cloud.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT