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An object whose mass is 400 kg is located at an elevation of 25 m above the surface of the earth. For g = 9.78 m/s2 , determine the gravitational potential energy of the object, in kJ, relative to the surface of the earth.
An object located 3 earth radii ABOVE the earth's surface has a gravitational field of g/16 where g is the value at the earth's surface. true or false?
An object located 3 earth radii ABOVE the earth's surface has a gravitational field of g/16 where g is the value at the earth's surface. true or false?
A satellite has a mass of 109 kg and is located at 1.97
106 m above the surface of Earth.
(a) What is the potential energy associated with the satellite
at this location?
J
(b) What is the magnitude of the gravitational force on the
satellite?
2.JPG
The gravitational potential energy of a small satellite with mass m orbiting the Earth, mass M, is U(r) = −(GMm)/r, where r is the radial distance from the center of Earth to the satellite. Derive the gravitational force F(r) acting on the satellite by evaluating the gradient of the potential energy.
(c) (i) On the surface of a planet of mass \(\mathrm{M}\) and radius \(\mathrm{R}\), the gravitational potential energy of a molecule of mass \(\mathrm{m}\) is \(-\frac{G M m}{R}\). Show that the escape speed of a molecule from the surface is \(\sqrt{\frac{2 G M}{R}}\).(ii) The rms thermal speed of a molecule of mass \(m\) is given by \(v_{\text {th }}=\left(\frac{3 k T}{m}\right)^{1 / 2}\) where \(k\) is Boltzmann's constant . Using the appropriate temperature value from part (b) calculate the \(\mathrm{rms}\)...
A satellite has a mass of 92 kg and is located at 1.99 106 m above the surface of Earth.(a) What is the potential energy associated with the satellite at this location?(b) What is the magnitude of the gravitational force on the satellite?
8. (a) Calculate the potential energy of a 10.0-kg mass on the surface of the Earth and at an altitude of 400 km respectively: (b) calculate the speed needed to move this mass from surface of the Earth to the altitude of 400 km. (-6.25*10%, -5.88*10% J, 2.72*10 m/s)
Determine the residence time (in hours) for a 25-um particle in the atmosphere with a density of 1,200 kg/m3 at an elevation of 3,500 m. Assume the gravitational acceleration is 9.8 m/s2 and the viscosity of air is 0.0172 g/m-s. 4. 4
Determine the residence time (in hours) for a 25-um particle in the atmosphere with a density of 1,200 kg/m3 at an elevation of 3,500 m. Assume the gravitational acceleration is 9.8 m/s2 and the viscosity of air is...
The value of g at the Earth's surface is about 9.81 m/s2. The the mass of the Earth = 5.98 x 1024 kg and the radius of the Earth is 6.37 x 106 m. 1) Calculate the value of g for a satellite that is orbiting in a circle at an altitude equal to 3 Earth radii. g =