010: A new planet (tentatively named “Melmac") is found in a circular orbit with a period of 571 years. The sun has a mass of 1.9891x1030 kg. How far away is the planet in Astronomical Units (AU) ? Note: An A.U. is 1.496x1011 m.

010: A new planet (tentatively named “Melmac") is found in a circular orbit with a period of 571 years. The sun has a mass of 1.9891x1030 kg. How far away is the planet in Astronomical Units (AU) ? Note: An A.U. is 1.496x1011 m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

2. Saturn rotates every 645 min (just under 11 h) and has a mass of 5.69 X 1026 kg. Suppose that scientists have placed a 1750 kg synchronous satellite in orbit around Saturn that has the same period as Saturn. (a) Calculate the radius at which that the synchronous satellite must orbit around Saturn. (b) Calculate the energy of placement of this 1750 kg synchronous satellite. (c) Calculate the orbital kinetic energy of this synchronous satellite (d) Calculate the orbital speed of this synchronous satellite.
A 2,200 kg satellite orbits the Earth at an altitude equal to half the Earth's radius. a. Determine the satellite's orbital velocity. b. Determine the satellite's period of revolution in minutes. c. Calculate the satellite's gravitational force at this altitude. d. Calculate the satellite's centripetal acceleration.
a) Sketch the earth and mars, showing the center of the planets being separated by a distance d = 3 x 10^11 m. b). Use Newton's Universal Gravitation equation to determine the gravitational force of attraction between earth and mars at that distance given G= 6.7 x 10^-11 N x m^2/kg^2, mass of earth = 6 x 10^24 kg, mass of mars = 6.4 x 10^23 kg
Earth Mars Saturn answers, include units 1 AU=1.496 x 10" m and Mun= 1.989 x 10 kg Mass of planet Radius of (kg) planet (km) 6371.0 3389.5 58,232 5.972x1024 6.417x102 5.683x102 Semimajor axis Eccentricity of Period of orbit of orbit a (AU) orbit e T (years) 1.00 0.0167 1.00 0.0934 1.88 0.0565 9.58 a) Use Kepler's 3rd Law to find the semimajor axis of Mars' orbit. AU m b) Use Kepler's 3rd Law to find the period of Saturn's orbit. c) Find the gravitational acceleration on the surface of Mars both in m/s² and as a multiple of Earth's gravitational acceleration. yrs m/s² g For (d) and (e), Earth's orbit is elliptical (ez0) but the semimajor axis is the average radius of the orbit so using the semimajor axis as the radius will let you solve for the average force and speed. d) Find the average force of gravity on the Earth from the Sun. e) Find the average speed of Earth as it moves around its orbit. N m/s
2. The mean distance between the earth and the sun is 1.5 x 1011m. The mean distance between the sun and Venus is 1.08 x 108km. What is the period of Venus around the sun in earth- days?
3. The gravitational acceleration at Earth's surface (ga) is about 10 m/s? and ge = GM/R2. What is g, at the surface of a planet with 2X Earth's mass and 3X Earth's radius?
An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. a. Enter an expression for the radius of the spaceship’s orbit. b. Calculate the orbital radius in meters.
Two planets orbit a star. You can ignore the gravitational interactions between the planets. Planet 1 has orbital radius r₁, and planet 2 has r₂ = 4r₁ Planet 1 orbits with period T₁ Planet 2 orbits with period A. T₂ = -1/T₁ B. T₂=2T₁ C. T₂ = 4T₁ D. T₂=8T₁
2. a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at a speed of 14625 m/s and has an orbital period of 12.45 years. What is the radius of A's orbit? Hint: remember to convert the period into seconds. 4.57E11 Previous submissions: 457000000000 b. What is the mass of the star? 1.465E30 Previous submissions: 1.465e30 kg c. Planet B is closer in. B has a larger velocity of 38500 m/s. What is the radius of B's orbit? 6.598E10 Previous submissions: m 65980000000 m m kg m incorrect incorrect V incorrect
2. An unknown planet was accidentally discovered by NASA. It has a mean distance of 2.15 E11 meters from the sun. Assuming it has a mass of 6.02 E24 kg, how long (in Earth Years) will it take for the said planet to revolve around the sun?
The moon on Mars Phobos ( Fear) and Deimos ( Terror) are very close to the planet compared to Earth's Moon. Their orbital radii are 9,376 km and 23,463.2 km respectively. A) what is the orbital speed of Phobos to that of Deimos? B) If the period of Phobos orbits 7hr 39.2 min, what is the mass of Mars? C) Calculate the orbital period of Deimos.
Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).