A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A hypothetical planet has 3 times the mass of Earth and twice the radius of the Earth. What is the surface gravity on this planet? r = Rplanet g = GMplanet / r2
Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B? A) B)r C) We were unable to transcribe this image
Assume that a Spherical Planet Of Radius R, Has a Uniform Mass Density (Per Unit Volume) Distribution Throughout, Of Value Po. Also, Assume that There Is a Massive Dust Cloud In the Rest Of the Universe, Which Decays Exponentially In Radius, r, Away From the Surface Of the Planet, Where the Mass Density Varies As ρ(r) = Po exp| | | |, For r2R- a) Using the Integral Form Of Gauss's 6. Law, [n.gda--4πGJsoh', And Spherical Coordinates (Specifically Using the...
Assume that a Spherical Planet Of Radius R, Has a Uniform Mass Density (Per Unit Volume) Distribution Throughout, Of Value Po. Also, Assume that There Is a Massive Dust Cloud In the Rest Of the Universe, Which Decays Exponentially In Radius, r, Away From the Surface Of the Planet, Where the Mass Density Varies As ρ(r) = Po exp| | | |, For r2R- a) Using the Integral Form Of Gauss's 6. Law, [n.gda--4πGJsoh', And Spherical Coordinates (Specifically Using the...
3) Given five planets in another solar system. Their mass and radius are: Planet A: M and 2R Planet B: 2M and R Planet C: 4M and 2R Planet D: M and R Planet E: 2M and 3R Rank them in order of g value on their surface (Largest to smallest, show if any of them are equal). Explain how you arrived at your conclusions (Again use idea of forming ratios)
Two conducting spheres with radius r1 and r2 and charges q1 and q2, respectively, are connected with a conducting wire. The one with more charge will have a higher potential. Select one: True O False Check Two conducting spheres with radius r1 and r2 and charges q1 and q2, respectively. If they are connected with a conducting wire and at equilibrium, they have the same E field value on their surfaces, hence, q/r,2 2/2 Select one: False Check Two conducting...
012 10.0 points Planet X has a mass 4.86 times that of the Earth and a radius 2.83 times the radius of the Earth What is the ratio of the acceleration due to gravity on the surface of Planet X to the acceleration due to gravity on the surface of the Earth?
A sphere of radius R,-0325 m and uniform charge density 645 3 lies at the center of a neutral, spherical, conducting shell of inner and outer radii R2- 0.533 m and Ro-0.815 m, respectively. Find the surface charge density on: The inner surface of the shell Number The outer surface of the shell Number pC/m2 R.
2. Atmospheric Mass Venus and Earth have about the same mass and radius, but the atmospheric pressure on the surface of Venus is measured to be 90 times larger than the pressure at the surface of the Earth. (a) Assuming Venus' atmosphere is pure CO2 and Earth's atmosphere is pure N2, estimate the atmospheric scale height for each planet. For simplicity you can assume that both atmospheres are isothermal with T = 550 K for Venus and T = 250...