planet X is observed (mass-M kg) to execute a circular orbit around celestial object YY. If the length of one planet-X year is 180 Earth-days, and it takes 20 light-seconds for light (velocity of light=3x108 m/s) to travel from YY to planet X, what is the mass of celestial object YY? How do your numbers change if a) the mass of X is doubled, compared to what you just calculated? b) at the original radius, the length of one planet-X year is doubled?
planet X is observed (mass-M kg) to execute a circular orbit around celestial object YY. If...
planet X travels in a circular motion orbit around the Sun. The radius of Planet X is twice that of Earth. The year on Planet X is 540 Earth years. The mass of Planet X is half that of Earth. The mass of the sun is 1.99*10^30 kg. The Earth's orbital distance from the Sun is 1.50*10^11 m.
A planet has a mass of 7.5x1024 kg and travels in a nearly circular orbit around a star as shown. When it is at location A, the velocity of the planet is o, o, -1.5x104 m/s. When it reaches location B, the planet's velocity is-1.5x104, 0, 0 m/s. We're looking down on the orbit from above, with +x to the right and +z down the page. 1 Sun (a) what is Δp, the change in the momentum of the planet...
The planet shown has a mass of M, and the satellite is in a circular orbit of radius r. a) In terms of M, r, and the universal gravitational constant G, what is the period Tof the satellite? Derive the formula. b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
points A newly discovered planet is in a circular orbit around a distant star with an orbital period of 400 Earth days. The planet also rotates on its axis, making one full rotation every 4.00 Earth days. The radius of the planet is rp = 7.00 × 106 m and the radius of the planet's orbit about the star is r 7.00×1011 m. My Notes Ask Your Tea Determine the ratio of the radial acceleration, due to the rotation of...
A satellite of mass m is in a circular orbit of radius r about a planet of mass M. The period of the satellite's orbit is T. A second satellite of mass 2m is in a circular orbit of radius 2r around the same planet. The period of orbit for the second satellite is 2T 8T O2T OT O 4T
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius R, where M>>m. a) For full marks, derive the potential, kinetic, and total energy of the satellite in terms of G, M, m, and r assuming that the potential energy is zero at r=infinity. b) What is the minimum amount of energy that the booster rockets must provide for the satellite to escape? c) Now we take into accouny...
5) A satellite in a circular orbit of radius R around planet X has an orbital period T. If Planet X had one-fourth as much mass, the orbital period of this satellite in an orbit of the same radius would be: A) 2T B) T square root(2) C) T/4 D) T/2 E) 4
An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1960 x 103 seconds (about 23 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 295.0 x 106 m and the planet has a radius of 3.70 x 10% m, calculate the moon's radial acceleration a.
An undiscovered planet, many lightyears from Earth,...
A planet of mass m = 1.55 x 1024 kg is orbiting in a circular path a star of mass M = 9.75 x 1029 kg. The radius of the orbit is R = 4.65 x 107 km. What is the orbital period (in earth days) of the planet? Where G = 6.67 � 10-11 N�m2/kg2 and 1 day = 8.54 � 104 s. I used the formula and got T = 247 s = 0.0289 days, but the online...
A 16 kg satellite has a circular orbit with a period of 2.6 h and a radius of 9.4 × 106 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 7.7 m/s2, what is the radius of the planet?