The mass of a certain planet is 3.00 x 1026 kg. (a) The planet has a moon whose mean orbital radius is 2.90 x 108 m. What is the period of this moon? (b) The planet has a second moon whose period is 2.30 x 106 s. What is the mean orbital radius of this second moon? m
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- 11. a) What is the weight (in newtons) of an 80 kg person at the Earth's surface? b) What is the weight of the same person on the surface of a planet with mass 8.0 x 1024 kg and a radius of 5.5 x 10' m? (G = 6.67 x 101 N* m?/kg?)Newton's theory of gravity, together with the Cavendish experiment to measure the value of Newton's constant G, determines the acceleration due to gravity at the surface of a sphere. For example, the acceleration due to gravity at the surface of Earth is g 9.81 m/s^2. Calculate the acceleration due to gravity at the surface of the sun, which has mass 1.989x10 30 kg and 6.96x108 m. radius = (in m/s^2) A: 112.2 OB: 140.2 OC: 175.3 OD: 219.1 OE: 273.9 OF: 342.3 OG: 427.9 OH: 534.9The earth’s mass is 5.972x1024 kgs and the earth’s radius is 6371 kms, determine the altitude of a body from the earth’s surface if it falls 9.7 m / s2 if it is in a vacuum container. Draw the FBD. Thank u
- If I know the acceleration of gravity is 2 times the coefficient x^2 and x^2 = 5.1591 How do i find the acceleration of gravity ? Y= 1/2 g t^2 Y= 5.1591x^2 - 0.0864x + 0.0545a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 eIn the year 25 000 the Earth is 1.42x101 m away from the sun and in a circular orbit, but a year remains 365 days long. Part A Calculate the mass of the sun in the year 25 000. ΑΣΦ ? msun = kg
- The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational constant. (a) If a ball is launched upwards from the surface of the moon with an initial speed of 1.15 km/s, what height maximum height above the surface of the moon will it reach? Give your answer in kilometers. (b) What is the escape speed of the moon? Give your answer in km/s.Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.6 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.3 x 107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way. solar massesAccording to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.92 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate mass of the Earth Me. Give the answer in 1024 kg. Answer: x10^24 kg
- A new planet named Vulcan has been discovered. Vulcan is a rather large planet with a radius twice that of Earth and a mass three times that of Earth. An astronaut has a mass of 60.0 kg and weighs about 132 lbs. on Earth. If the astronaut is on the planet Vulcan, what is her weight? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 metersA 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.A sphere of copper has a radius of 50.0 cm and a mass of 4690 kg. A sphere of unknown metal has a radius of 30.0 cm. The surfaces of the spheres are 20.0 cm apart. The force of gravitational attraction between the two spheres is 0.372 mN. What is the mass of the unknown metal?