To model a moon in the solar system, consider a sphere with radius R and uniform mass density p. Let gm = the acceleration due to gravity on the surface of the sphere. Calculate gm for these values of R and p: R = 2.0×106 m; p = 2.7x10³ kg/m^3; (in m/s^2) OA: OB: 1.509 2.007 OC: 2.669 OD: 3.549 OE: OF: 4.721 6.279 OG: 8.351 OH: 1.111x101
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- Newton's law of universal gravitation can be expressed by the equation F = G Mm r2 , where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?The planet Earth, Jupiter, the Moon, and the Sun have the following values: mJ = 1.90x1027kg , mE = 5.97x1024kg , mM = 7.35x1022 kg , mS = 1.99x1030kg RJ = 6.99x107 m , RE = 6.37x106 m, RM = 1.74x106 m , RS = 6.96x108 m dEarth to Moon = 3.60x105 km , dEarth to Jupiter = 588x106m , dEarth to Sun = 150x106 km (a) Find the magnitude of the force of gravity acting on the planet Earth due to the planet Jupiter. (b) Find the potential energy between the planet Earth and the planet Jupiter. (c) Find the acceleration of gravity on the planet Jupiter.Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth. (We estimate that the length of a step for an average person is about 18 inches, or roughly 0.5 m. The radius of the Earth is 6.38 x 106 m.) 105 steps 108 steps 1011 steps 1015 steps O 1020 steps
- the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?In 1999, NASA lost the Mars Climate Orbiter because one group of engineers used metric units in their calculations while another group used English units. Consequently, the orbiter descended too far into the Martian atmosphere and burned up. Suppose that the orbiter was to have established orbit at 157 km and that one group of engineers specified this distance as 1.57 x 10³ m. Suppose further that a second group of engineers programmed the orbiter to go to 1.57 x 10³ ft. The $125 million Mars Climate Orbiter was lost in the Martian atmosphere in 1999 because two groups of engineers failed to communicate with each other about What was the difference in kilometers between the two altitudes? Express your answer with the appropriate units. Value Submit HA Provide Feedback Part B Complete previous part(s) Units Request Answer ?Suppose f(x,y,z) = Ax2 + Bxy + Cxyz2. What is ▽f?
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