A satélite órbits the earth in a circle of radius R with a period T. The radius of the satélite orbit is increased to 4*r. What is the new period of the satélite orbit? A. 4*T B. 8*T C. 2*T D. 6*T
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- Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of radius r 1 = 10^11 m with a period of 2 years (= 6.3 x 10^7 s). Planet m 2 moves in an elliptical orbit with its closes t distance r 1 and its farthest distance r 2 = 1.8 x 10^11 m. a. Find the period of m 2’s orbit. b. The elliptical orbit has greater energy. Which planet has the greater potential energy at point P? Justify. c. Which planet has the greater speed at point P? Justify. d. How does the speed of m 2 at point P compare with the speed at point A? Justify.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=8T₁An 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)
- The radius and mass of a planet are 5.39E+06_m and 2.56E+25_kg, respectively. A spaceship is in orbit at a distance of 1680_km above the surface of the planet. Find the orbital speed of the ship. 4. 12990_m/s 15540_m/s F. А. 13670 _m/s D. В. 14650_m/s E. C. 14180_m/s 12170_m/sPlanet X with a radius of 4.0 Rearth⊕ is found orbiting a star of mass 0.80M⊙ . The eccentricity of its orbit is 0.05, and at its farthest approach to the star, it is 0.63 AU away, while at its closest approach to the star, it is 0.57 AU away. a. How long does it take Planet X to make a complete orbit around its star in years? b.The semi major axis of the planet is changed such that its closest approach to the star is now 2.9 AU. Would the gravitational force exerted by the star on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor? c. The mass of the star was increased to 2.4M⊙ . Would the gravitational force exerted by it on Planet X increase or decrease? By what factor? Would the gravitational force exerted by Planet X on the star increase or decrease? By what factor? d. What must the mass of Planet X be in Mearth⊕ such that an astronaut on its surface would have the same weight as…1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg, rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.t_sat)?
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