A body weighs 63N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth?
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- The earth is 150 × 10^9 m from the Sun. Earth and Sun masses are 5.97 × 10)^24 ?? and 1.99 × 10^30 ??, respectively. (a) Find the gravitational attraction between the Earth and the Sun. (b) Find the orbital period of the Earth around the Sun based on these numbers.A planet has a mass of 6.90 × 1023 kg and a radius of 2.89 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 74.8-kg person weigh on this planet?Astronomers discover an exoplanet, a planet orbiting a star other than the Sun, that has an orbital period of 1.50 Earth years in a circular orbit around its star, which has a measured mass of 3.80×10^30 kg.Determine the radius ? of the exoplanet's orbit.
- On a planet whose radius is 1.80 × 104 km, the acceleration due to gravity is 16.5 m/s?. What is the mass of the planet?A planet requires 340 (Earth) days to complete its circular orbit around its sun, which has a mass of 7.5 x 1030 kg. What are the planet's (a) orbital radius and (b) orbital speed?A satellite is launched to orbit the Earth at an altitude of 1.80 x 107 m for use in the Global Positioning System (GPS). Take the mass of the Earth to be 5.97 x 1024 kg and its radius 6.38 x 106 m. (a) What is the orbital period of this GPS satellite? h (b) With what speed does it orbit the Earth? m/s
- (a) Calculate the distance from the Earth's surface of the point which the gravitational field strength is zero, given the following data: Distance between the Earth and the Moon = 384 000 km; Mass of the Earth = 5.98 x 10^24 kg; Mass of the Moon = 7.35 x 10^22 kg; Radius of the Earth = 6.37 x 10^6 m (b) If a small mass is placed at this point, does is receive gravity force? Is the gravitational potential energy at this point equal to 0? Explain your answer.Earth’s gravitational field strength at the surface is 9.80 N/kg. Determine the distance, as a multiple of Earth’sradius, rE, above Earth’s surface at which the magnitude of the acceleration due to gravity is 3.20 N/kg.The International Space Station has a mass of 4.19 ✕ 105 kg and orbits at a radius of 6.79 ✕ 106 m from the center of Earth. Find the gravitational force exerted by Earth on the space station, the space station's gravitational potential energy, and the weight of an 88.3 kg astronaut living inside the station. Just need the answer to option B (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.) 3622431.86 N (b) the space station's gravitational potential energy (in J) _____________J (c) the weight (in N) of an 88.3 kg astronaut living inside the station 763.39 N
- The tidal acceleration due to the moon at the surface of the earth is approximately 2.44*10^-5 m/s^2. If the moon was closer to the earth by a factor of 0.9. What then would the tidal acceleration be?A satellite with a mass of 330 kg moves in a circular orbit 8.00 x 10 m above the Earth's surface. (a) What is the gravitational force on the satellite? (b) What is the speed of the satellite? km/s (c) What is the period of the satellite? eBookA space probe is launched from Earth headed for deep space. At a distance of 10,000 km from Earth's center, the gravitational force on it is 900 N. What is the magnitude of the force when the probe is 30,000 km from Earth's center?