It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero or positive total energy is in an unbounded orbit. Why is this true? What choice for gravitational potential energy was made such that this is true?
It was stated that a satellite with negative total energy is in a bound orbit, whereas...
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is hp=227.0 km, and it is moving with a speed of vp=8.950 km/s. The gravitational constant G equals 6.67×10−11 m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg. When the satellite reaches its apogee, at its farthest point from the Earth, what is its height ha above the ground? For this...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is ho = 207.0 km, and it is moving with a speed of v, = 8.050 kr/s. The gravitational constant G equals 6.67 x 10-11 m² kg-15-2 and the mass of Earth equals 5.972 x 1024 kg. When the satellite reaches its apogee, at its farthest point from the Earth, what...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is he = 227.0 km, and it is moving with a speed of up = 8.050 km/s. The gravitational constant G equals 6.67 x 10-'1 m² kg---5-2 and the mass of Earth equals 5.972 x 1024 kg. When the satellite reaches its apogee, at its farthest point from the Earth, what...
A satellite is in a circular orbit around the Earth. It has a total energy (K + U) of -8.9x1010 J. Determine the Kinetic energy for this satellite in this orbit. 0.8x10^10 J 1.3x10^10 J 4.5x10^10 J 8.9x10^10 J 10. How much energy would be needed to boost the satellite in question #9 to an infinite distance from the planet around which it is orbiting? 0.8x10^10 J 1.3x10^10 J 4.5x10^10 J 8.9x10^10 J
A satellite in Earth orbit has a mass of 97 kg and is at an altitude of 1.94 x 105 m. (Assume that U = 0 as r → 00.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force...
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius R, where M>>m. a) For full marks, derive the potential, kinetic, and total energy of the satellite in terms of G, M, m, and r assuming that the potential energy is zero at r=infinity. b) What is the minimum amount of energy that the booster rockets must provide for the satellite to escape? c) Now we take into accouny...
Attempt « Question 18 of 27 > A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is hp = 233.0 km, and it is moving with a speed of up = 9.850 km/s. The gravitational constant G equals 6.67 x 10 m.kg .s and the mass of Earth equals 5.972 x 10 kg. When the satellite reaches its apogee, at...
A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.98 X 100 m. (Assume that U = 0 asr →0.) (a) What is the potential energy of the satellite-Earth system? What is the equation for gravitational potential energy when the altitude is comparable to the radius of the Earth? ) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does...
A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is hp = 249.0 km, and it is moving with a speed of up = 7.950 km/s. The gravitational constant G equals 6.67 x 10-11 mº.kg-1.5-2 and the mass of Earth equals 5.972 x 1024 kg. When the satellite reaches its apogee, at its farthest point from the Earth, what is...