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Respond to each statement, true or false: (a) No force of gravity acts on an astronaut in an orbiting space station. (b) At three Earth radii from the center of Earth, the acceleration of gravity is one-ninth its surface value. (c) If two identical planets, each with surface gravity g and volume V, coalesce into one planet with volume 2V, the surface gravity of the new planet is 2g. (d) One kilogram of gold would have greater value on Earth than on the Moon.
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- On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardThe Scope and Scale of Physics Find the order of magnitude of the following physical quantities. (a) The mass of Earth’s atmosphere: 5.11018kg : (b) The mass of the Moon’s atmosphere: 25,000kg ; (c) The mass of Earth’s hydrosphere: 1.41021kg : (d) The mass of Earth: 5.971024kg : (e) The mass of the Moon: 7.341022kg : (f) The Earth-Moon distance (semimajor axis): 3.84108m : (g) The mean Earth-Sun distance: 1.51011m : (h) The equatorial radius of Earth: 6.38106m : (i) The mass of an electron: 9.111031kg : (j) The mass of a proton: 1.671027kg : (k) The mass of the Sun: 1.991030kg .arrow_forwardAccording to Newton's law of universal gravitation, the attraction force between two bodies is given by: where mi and m2 are the masses of the bodies, r is the distance between the bodies, and G=6.67 × 10-" N-m²/kg² is the universal gravitational constant. Determine how many times the attraction force between the sun and the Earth is larger than the attraction force between the Earth and the moon. The distance between the sun and Earth is 149.6 x 10°m, the distance 28 between the moon and Earth is 384.4 × 10°m, mEarth = 5.98 x 10“ kg, = 2.0 x 10" kg, and mn =7.36 x 102 kg.arrow_forward
- Please asaparrow_forwardThe gravitational constant g is 9.807 m/s² at sea level, but it decreases as you go up in elevation. A useful equation for this decrease in g is g = a - bz, where z is the elevation above sea level, a = 9.807 m/s², and b = 3.32 × 10−6 1/s². An astronaut "weighs” 80.0 kg at sea level. [Technically this means that his/her mass is 80.0 kg.] Calculate this person's weight in N while floating around in the International Space Station (z = 355 km). If the Space Station were to suddenly stop in its orbit, what gravitational acceleration would the astronaut feel immediately after the satellite stopped moving? The person's weight in N while floating around in the International Space Station is The astronaut feels a gravitational acceleration of 692.928 m/s² 8.6616 N.arrow_forwardPlanet X has four times the diameter and five times the mass of earth. What is the ratio gx:ge of gravitational acceleration at the surface of Planet X to the gravitational acceleration at the surface of the earth? Please put the ratio on decimal form not on fraction form.arrow_forward
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