A mysterious, newly discovered planet has a radius of 8500 km and a mass of 9.5 x 1023 kg. Suppose you want to launch a satellite into a circular orbit around this planet to observe its surface features. The satellite is to have an altitude of 750 km above the surface of the planet. (a) With what speed should the satellite be launched (in km/s)? (b) What is the orbital period (in hours)? 750 8500 km km
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- What is the magnitude of the gravitational acceleration at a height of two earth radius (2RE) above earth surface? Take gravitational acceleration near Earth surface as 9.81 m/s2. Express your answer in m/s2 and enter numerical value only, no unitsA 4.4 kg mass weighs 35.64 N on the surfaceof a planet similar to Earth. The radius ofthis planet is roughly 6 × 10^6 m.Calculate the mass of of this planet. Thevalue of the universal gravitational constantis 6.67259 × 10^−11 N · m^2/kg^2.Answer in units of kg. Calculate the average density of this planet.Answer in units of kg/m^3.The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 9.16 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.
- Scientists want to place a 4 × 103 kg satellite in orbit around Mars. They plan to have the satellite orbit a distance equal to 2.4 times the radius of Mars above the surface of the planet. Here is some information that will help solve this problem: mmars = 6.4191 x 1023 kgrmars = 3.397 x 106 mG = 6.67428 x 10-11 N-m2/kg2 1.)What is the force of attraction between Mars and the satellite? 2.)What speed should the satellite have to be in a perfectly circular orbit? 3.)How much time does it take the satellite to complete one revolution?An earth-like planet has a mass of 6.00×1024 kg and a radius of 7000 km. A satellite of mass 55 kg is orbiting the planet at a distance of 2000 km above the surface. What is the magnitufe of the gravitational force exerted on the satellite by the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) Submit Answer Tries 0/2 What is the magnitude of the force exerted on the planet by the satellite?Problem 6: Two satellites are in circular orbits around a planet that has radius 9 x 106 m. One satellite has mass 68.0 kg, orbital radius 7 x 107 m, and orbital speed 4800 m/sec. The second satellite has mass 84.0 kg and orbital radius 3 × 107 m. What is the orbital speed of this second satellite? Answer: 7332.1 m/sec. Problem 7: Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting around the star HD 68988. Its orbital distance was measured to be 1.05 × 1010 m from the center of the star, and its orbital period was estimated at 6.3 days = 5.44 × 105 sec . What is the mass of HD 68988? Express your answer in kilograms and in terms of our sun's mass (Msun =1.99 × 1030 kg) Answer: M = 2.31 × 1030 p kg. = 1.16MSun-
- What is the escape speed from a planet of mass M = 3.1 x 1023 kg and radius R = 2.6 x 106 m? Write the answer in terms of km/s.Assume the earth's mass is 80.004 x 1025 kg, and radius is 35.532 x 103 miles, what would be the gravitational acceleration on such an planet in unit of m/s2? Use G=6.67x 10 -11 Nm2/kg2.Gravitational force is F = Gm1m2/r². Set G = 1 and m1 = 1, where m2 will be a planet with 1800 times Earth's mass (so m2 = 1800) and 30 times Earth's radius (so r = 30). What will F be?
- A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 14.137 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.