Mass M is divided into two parts xM and (1-x)M. For a given separation, the value of x for which the gravitational attraction between the two pieces becomes maximum. Find this maximum value of x.
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- One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M = 4.07 × 1024 kg and R = 5.79 x 106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number i Units (b) Number i UnitsConsider two iron spheres, each of diameter 280 mm, which are just touching. At what distance r from the center of the earth will the force of mutual attraction between the contacting spheres be equal to the force exerted by the earth on one of the spheres? Answer:r = i (107)kmThe moon orbits the earth along a path of radius 3.84 x 108 m , a spaceship of mass 30000 Kg orbits the Earth along a path of radius 2.8 x 108 m. calculate: a) The gravitational force exerted on the spaceship when it is at the line joints the centers of the earth and the moon. b) the gravitational field strength of the Earth at a point that locates at the orbit of the spaceship. G = 6.67 x 10-11 Nm2/Kg2 ME = 6 x 1024 Kg , Mm = 7.35 x 1022 Kg
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- On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an orbit that is R/47 above the ground level, where R is radius of the Earth. If the gravitational force on the satellite is xW at this location, determine x.Current Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units UnitsThe International Space Station has a mass of 4.19 x 105 kg and orbits at a radius of 6.79 x 10° m from the center of Earth. Find the gravitational force exerted by Earth on be the space station, the space station's gravitational potential energy, and the weight of a 71.7 kg astronaut living inside the station. HINT (a) the gravitational force (in N) exerted by Earth on the space station (Enter the magnitude.) 3.637e7 X N (b) the space station's gravitational potential energy (in J) -2.4696e13 (c) the weight (in N) of an 71.7 kg astronaut living inside the station X N Need Help? Read It Watch It