A mystery planet and its moon are found revolving around a nearby star. The star is...

A mystery planet and its moon are found revolving around a nearby star. The star is a K3 Main Sequence star with a mass of approximately 0.8 M☉ and a radius of 0.78 R☉. The planet is believed to be terrestrial (Earth-like, and therefore of a similar density) and has an observed orbital period of 243 days. The moon orbits the planet every 13.2 hours with an average orbital radius of 19,600 km. Using this information, find:

(a)the orbital radius of the planet,

(b)the distance at which another planet in the system would have an orbital speed of 24,000 m/s,

(c)the point between the star and the planets at which the net force on a spacecraft would be zero, and

(d)the period of a 80-cm long simple pendulum with a mass of 30 grams that is swinging on the planet’s surface

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Astronomers have discovered a new planet around a nearby Sun-like star. The following data on the...

Astronomers have discovered a new planet around a nearby Sun-like star. The following data on the planet is known. It has a density of 1.4 relative to water along with a mass of 7.8×1027 kg and a radius of 77,000 km, and its orbital period is 0.52 years. a) From this information determine the following: the mass and radius of the planet relative to Earth, semi-major axis of the planet’s orbit, as well as the mass of the host star....

A day on a distant planet observed orbiting a nearby star is 52.1 hours. Also, a...

A day on a distant planet observed orbiting a nearby star is 52.1 hours. Also, a year on the planet lasts 38.7 Earth days.* Calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on Earth. Calculate the average angular speed of the planet as it travels around its neighboring star, with the second as measured on Earth.

At the perihelion of its orbit a planet is 4.45x1012 m from a star. The maximum...

At the perihelion of its orbit a planet is 4.45x1012 m from a star. The maximum distance between the planet and the star is 7.35x1012 m. The mass of the star is 2.99x1030 kg. What is the period of the planet? (1 year = 3.156x107 seconds)

a) What is the angular momentum of the Moon around the Earth? The Moon mass is...

a) What is the angular momentum of the Moon around the Earth? The Moon mass is 7.40e22 kg and it orbits 3.80e8 meters from the Earth. b) And what is the angular momentum of the Earth around the Sun? Mass of the Earth is 5.98e24 kg and it orbits 1.50el 1 m from the Sun.

even though a Jovian planet is close to its star, its interior temperature is cool. explain...

even though a Jovian planet is close to its star, its interior temperature is cool. explain what this tells me about the planet's mass.

Planet X has a moon that has a very elliptical orbit. Its furthest point from the...

Planet X has a moon that has a very elliptical orbit. Its furthest point from the planet X is 4 × 10^8 m and its closest point is 3 × 10^8 m. If its speed at the furthest point is 700 m/s, what is its speed at its closest point? The mass of planet X is 2.68 X 10^24 kg and the radius of planet X is 4079 km. (please show work and drawing)

A planet orbits a Sun-like star at an orbital distance of 40 AU. What is its...

A planet orbits a Sun-like star at an orbital distance of 40 AU. What is its orbital period?

1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and...

1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, what is the Earth's Mass? Express your answer using scientific notation with three significant figures. (Note: Earth's Mass has been listed on other materials and questions. The value for the Moon's orbital period has been modified so it's close to that value, but not exactly that value. Make sure to do the calculations for...

Astronomy: Saturn’s rings pose a mystery to astronomers; they should fall back to the planet due...

Astronomy: Saturn’s rings pose a mystery to astronomers; they should fall back to the planet due to being inside Saturn’s Roche Limit. This means they should be relatively young. How do you explain this?

For a relatively weak gravitational field, such as that of a planet or an ordinary star,...

For a relatively weak gravitational field, such as that of a planet or an ordinary star, the following formula tells us the fractional amount of gravitational time dilation at a distance r from the center of an object of mass Mobject: 1c2×GMobjectr (G=6.67×10?11m3/(kg×s2); c=3×108m/s.) For example, while 1 hour passes in deep space far from the object, the amount of time that passes at a distance r is 1 hour minus 1 hour multiplied by the factor above. (This formula...

Subjects