A planet in a circular orbit about a star has an orbital radius of 6.90 au. If the star has a mass that is 1.50 times our own Sun's mass, determine the time T, in units of Earth years, for one revolution of the planet around the star. Earth years T =

A planet in a circular orbit about a star has an orbital radius of 6.90 au. If the star has a mass that is 1.50 times our own Sun's mass, determine the time T, in units of Earth years, for one revolution of the planet around the star. Earth years T =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 21P: The mass of Earth is 5.971024kg and its orbital radius is an average of 1.501011m . Calculate the...

See similar textbooks

Related questions

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

Q: When a man stands on a bathroom scale here on Earth, it reads 57o N . Assume each planet to be a…

A: Given data: Weight of man on Earth, W=570 N

Q: f a Spacex Starlink satellite orbits the Earth at a height of 326.85 km above the Earth's surface…

A: Solution: Given that Earth's radius r= 6370 km = 6370x 103 m Earth's mass m = 5.98 x1024 kg G=6.67x…

Q: A planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius…

A: The expression to determine the orbital period of the planet is, T2=4π2MGR3

Q: Earth’s mass is 5.98 x 1024 kg and it is located 150 million kilometers from the Sun. Calculate the…

A: To find the mass of the sun

Q: If a satellite orbits the Earth at a height of 5,642.74 km above the Earth's surface what is its…

A: Solution: Given that - Earth at a height h =5,642.74 km = 5642740 m Earth's radius is r = 6370 km =…

Q: Please fill in all of the steps to answer part B

Q: The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a…

Q: A planet of mass ?=6.65×1024 kg orbits a star of mass ?=1.55×1029 kg in a circular path. The radius…

Q: What is earth’s escape velocity if the acceleration due to gravity is 9.8 m/s and the its radius is…

Q: Calculate the escape velocity from the surface of a world with mass 2.80 x 1024 kg and radius 6.50 x…

Q: A student needs to calculate the orbital periods for various satellites, of mass, m, and orbital…

Q: If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period…

A: Let m denote the mass of the planet, M denote the mass of the sun, G denote the gravitational…

Q: A planet has a mass of 1.5 times the mass of the Earth and a radius that is 2 times the radius of…

A: (a) According to Kepler’s Third law, T2=4π2GMr3 Use the given values,…

Q: Planet X orbits the star Omega with a "year" that is 650 earth days long. Planet Y circles Omega at…

Q: The gravitational force between a planet and its moon is 6*10^16 N. For another moon orbiting the…

A: The given data are: F=6×1016 NR'=2RM'=3M Here, F denotes the gravitational force, R' denotes the…

Q: The value of Gme/re2, where me is the mass of the earth, re is the radius of the earth, and G is the…

Q: A planet with mass 4.83x1023 kg orbits a star with mass 6.95x1030 kg. The orbit is circular, and the…

A: Given Mass of the star is M=6.95×1030 kg Universal gravitational constant is G=6.67×10-11 N.m2/kg2…

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: GIVEN THAT let mass of the planet is m Speed v1 = 2.1 x 104 mt/ sec distance r1 = 2.6 x…

Q: Planet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of…

A: Given: Radius of the planet, Rx = 4Re (Re = Radius of earth)mass of the central star, Ms =…

Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…

A: Height of the probe from the center of the planet is given and time period of rotation of the probe…

Q: Using planet Earth's mass of 5.972 x 1024 kg, the period (in minutes) of a satellite orbiting the…

Q: A planet of mass m = 4.75 × 1024 kg orbits a star of mass M = 2.85 × 1029 kg in a circular path. The…

A: The star of mass,

Q: The planet Neptune has a satellite, Proteus, which travels in an orbit of radius 1.180×108 m with a…

Q: A planet is found to be 3.5 times as far from the sun as the earth. How

Q: In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a…

Q: Jupiter revolves around Sun in a circular orbit with a radius of 7.78 x 10^11 m. It takes 11.86…

A: Given data Radius of circular orbit is a=7.78×1011 m Time period is T=11.86 years =3.74×108 s Find…

Q: How long will it take Mars to complete two full orbit? Mars is 228 million kilometers away from the…

A: We have the relations: GMsMmR2=Mmv2R and T=2πRv⇒v=2πRT

Q: Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital…

A: Given: The radius of the planet, rp = 3.8 * 1030 kg and Orbital Period of planet Tp = 1.50 * Orbital…

Q: The mean distance of an asteroid from the Sun is 1.74 times that of Earth from the Sun. From…

Q: A planet of mass m=8.15×1024 kg orbits a star of mass M=2.35×1029 kg in a circular path. The radius…

A: The necessary centripetal force required for rotation of planet is provided by the gravitational…

Q: Planet X has 20 times the mass of the earth and four times the earth's radius. It orbits star Y at a…

A: The given values are,

Q: A planet of mass 6×10 to the 24th power kg is in orbit around a star of mass 2×10 to the 30th kg. If…

A: Given : m1 = 6 x 1024 kg m2 = 2 x 1030 kg r = 5 x 1011 m

Q: What is the orbital speed (in km/s) of a 187 kg satellite orbiting at an altitude of 4.53 x 103 km…

A: Given data: Mass of satellite (m) = 187 kg Altitude (h) = 4.53×103 km = 4.53×106 m Mass of earth (M)…

Q: For a planet of uniform density, how would the magnitude of the gravitational field halfway to the…

Q: Given: Distance of Venus to sun is 1.08×1011 m and the distance of mars to sun is 2.3×1011 m (688…

Q: An object is orbiting at a distance of 1.0 x 107 m from the center of a planet. The gravitational…

A: original distance = 107 m new distance = 5* 106 m Fraction of distance = 5 * 106/107 = 0.5 thus the…

Q: The is a planet orbiting the sun. Its mass is 9.3 x 10^22kg and it is traveling in a circular orbit…

A: Mass(m1)=9.3*1022 kg Mass(m2)=1.982*1031 kg speed(v)=9500 m/s Required radius of orbit (R)=?

Q: A planet of mass m=9.45x1024 kgm=9.45x1024 kg orbits a star of mass M=8.25x1029 kgM=8.25x1029 kg in…

Q: Motion in Polar and Cylindrical CoordinatesDeduce from the orbit equation

A: Given : r = (1+e)r01+ecosθ

Q: Planet X orbits the star Omega with a “year” that is 200 earth days long. Planet Y circles Omega at…

A: TX = 200 daysRY = 4RyTY = ? Kepler's third law states that the square of the orbital period of a…

Q: A spacecraft is in a circular Earth orbit at an altitude of 5800 km. By how much will its altitude…

A: Given: Altitude of space craft = 5800 km.

Q: You find a moon orbiting a planet. The moon has a period of 10 days, and the average distance…

A: Given Data Time period of Moon of planet = 10 days Average distance between moon and Jupiter = r…

Question

100%

A planet in a circular orbit about a star has an orbital radius of 6.90 au. If the star has a mass that is 1.50 times our own Sun's
mass, determine the time T, in units of Earth years, for one revolution of the planet around the star.
Earth years
T =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given and Required quantities

VIEW

Relation between time period of planet, radius of the orbit and mass of the Sun

VIEW

Time period of the planet on a star of mass 1.5 times that of Sun

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?
When 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?
Suppose astronomers find an earthlike planet that is twice the size of Earth (that is, its radius is twice that of Earth’s). What must be the mass of this planet such that the gravitational force (Fgravity) at the surface would be identical to Earth’s?
If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period be?
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)
Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass 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 the Milky Way.
An object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planet
Check Your Understanding Earth exerts a tidal force on the Moon. Is it greater than, the same as, or less than that of the Moon on Earth? Be careful in your response, as tidal forces arise from the difference in gravitational forces between one side and the other. Look at the calculations we performed for the tidal force on Earth and consider the values that would change significantly for the Moon. The diameter of the Moon is one-fourth that of Earth. Tidal forces on the Moon are not easy to detect, since there is no liquid on the surface.
What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)
Calculate the mass of the Sun based on data for average Earth’s orbit and compare the value obtained with the Sun’s commonly listed value of 1.9891030kg .