(1) A Low EarthOrbit (LEO) satellite of mass m = 100 kg orbits Earth in a circul
ID: 1722233 • Letter: #
Question
(1) A Low EarthOrbit (LEO) satellite of mass m = 100 kg orbits Earth in a circularorbit at a height
of h = 400 km aboveEarth's surface.
UniversalGravitational Constant: G = 6.67 * 10–11 kgm2 / kg2
Mass of Earth: M =5.98 * 1024 kg
Radius of Earth'ssurface: 6380 km
(a) Find the radiusof the orbit, r.
(b) Find thecircumference of the orbit, C.
(c) Find themagnitude of the centripetal acceleration of the satellite in itsorbit, ac.
(d) Find themagnitude of the centripetal force on the satellite in its orbit,Fc.
(e) Find the speedof the satellite in its orbit, v.
(f) Find the periodof the satellite in its orbit, T.
(g) Find the kineticenergy of the satellite, EK.
(h) Find thegravitational potential energy of the satellite,EG.
(i) Find the net energy of thesatellite, E.
Explanation / Answer
1 ) radius = r = 6380+400 km 2) circumference = 2r here =22/7=3.14 3) centripetal acceleration a= v2/r = GM/r2 velocity = (GM/r) 4) F=GMm/r2 centripetalforce 5) speed = v=GM/r 6) T= circumference/v = 2r/v 7) kinetic energy = KE = 1/2 m v2 8) potential energy = -GMm/r 9) total energy = m (v2 /2 - GM/r) substitute values we get all of the answers
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.