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- Let gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.Many people mistakenly believe that the astronauts that orbit Earth are “above gravity.” Calculate g for space shuttle territory, 200 km above Earth’s surface. Earth’s mass is 6.0 × 1024 kg, and its radius is 6.38 × 106 m (6380 km). Your answer is what percentage of 10 m/s2?
- Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.Many people mistakenly believe that astronauts that orbit the Earth are "above gravity." Calculate the acceleration due to gravity (g) for space shuttle territory, 200 kilometers above the Earth's surface. Earth's mass is 6 x 1024 kilograms and its radius is 6.38 x 106 meters (6380 kilometers). Your answer is what percentage of 9.8m/s2?
- Newton’s version of Kepler’s third law is: P2 = 4 π2 / [G (M1 + M2)] × a3. The space shuttle orbits 271 km above the Earth's surface. How often do the astronauts see a sunrise (in minutes)? Use the gravitational constant G = 6.67 × 10-11 m3 kg-1 s-2, the mass of the Earth M = 5.97 × 1024 kg, and the radius of the Earth to be 7000 km.(a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.00 x 104 kg and its moon, with mass 2.85 x 1022 kg, if the average distance between their centers is 2.60 x 10 m. 1.69 XN (b) What is the moon's acceleration (in m/s) toward the planet? (Enter the magnitude.) 5.93 x m/s² (c) What is the planet's acceleration (in m/s²2) toward the moon? (Enter the magnitude.) x m/s² 2.82(a)find the magnitude of the gravitational force (in N) between a planet with mass 6.50x10^24 kg and its moon, with mass 2.65x10^22 kg, if the average distance between theircenters is 2.20x10^8 m. (b)what is the moons acceleration (in m/s2) toward the planet? (enter the magnitude) (c)What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)
- Consider the gravitational acceleration on the surface of the Moon and of Mars. a) What is the acceleration, in meters per square second, due to gravity on the surface of the Moon? You will need to look up the mass and radius of the Moon. b) What is the acceleration, in meters per square second, due to gravity on the surface of Mars? The mass of Mars is 6.418 × 1023 kg and its radius is 3.38 × 106 m. Given: the radius of the moon is 1,080 milesThe 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.Three masses, MA = Mg = Mc = M are placed at the vertices of a right triangle ( ill slE ¿ilia wg'} ) de), as shown in the figure below. The distance between Ma and M, is similar to that between Mc and Mg and is equal to R. The magnitude of the net gravitational force exerted on Mg is given by: %3D %3D MA A. 1.41 (GM/R) B. 1.41 (GM/R?) C. 1.41 (GM²/R?) D. 1.41 (G?M/R?) 1.41 (G?M?/R?) R E. Ms Mc R O A OB