Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 11, Problem 58P
To determine
To Estimate:The ratio of the mass of the sun to that of the earth. Also, compare it to the measured ratio of
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According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits
the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month).
Calculate mass of the Earth Me. Give the answer in 1024 kg.
Answer:
x10^24 kg
According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.83 x 105 km. The Moon orbits
the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month).
Calculate mass of the Earth ME. Give the answer in 1024 kg.
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.9 x 10* light-years from its center.
(a) What should the orbital period (in y) of that star be?
(b) If its period is 7.0 x 10' years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of
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solar masses
Chapter 11 Solutions
Physics for Scientists and Engineers
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- If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period be?arrow_forwardShow that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a parabola. Do this by substituting Cartersian coordinates, x and y, for the polar coordinates, r and , and showing that it has the general form for a parabola, x=ay2+by+c .arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forward
- The mass of Earth is 5.971024kg and its orbital radius is an average of 1.501011m . Calculate the magnitude of its linear momentum at the location in the diagram.arrow_forwardWhen Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?arrow_forwardTwo double stars, one having mass 1.0 Msun and the other 3.0 Msun, rotate about their common center of mass. Their separation is 6 light years. What is their period of revolution?arrow_forward
- Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar massesarrow_forwardA new planet Batuu is discovered in our solar system. Observations reveal that the orbital period of Batuuis TBatuu = 120 Earth days and its diameter is dBatuu = 12 × 106 m. Astronauts are sent in a rocket toexplore the planet further how far is planet batuu from the sun?arrow_forwardAstronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 6.0 ✕ 104 light years from its center. What should the orbital period (in y) of that star be?arrow_forward
- Estimation: The orbital period of the moon is 27.3 d, the average center-to-center distance center distance between the moon and earth is 3.82 * 10^8m, the length of an Earth year 365.25d, and the average center to center distance between earth and the sun is 1.50 x 10^11m. Use this data to estimate the ratio of the mass of the Sun to the mass of Earth. Compare this estimation to the measured ratio of 3.33 x 10^5. List some neglected factors that might account for any discrepancy.arrow_forwardTaking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). ..............m Answer and simplifyarrow_forward1arrow_forward
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