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23 Nov 2019
a) Theescape velocity of an object is that for which thetotalenergy of an object in a gravitational field iszero. Write anexpression for the escape velocity of an object ofmass m adistance r away from the center of astar/planet of massM. b) The gravity of a black-hole isso strong that, if tooclose, not even light can escape. The pointat which the escapevelocity equals the speed of light is calledthe event horizon. Whatis the radius of the event horizon of a 1.5solar massblack-hole(MSUN=2Ã1030 kg)? c) Expresstheradius of the event horizon of a 2 billion solar massblack-hole(like the one at the center of our galaxy) in terms oftheEarth-Sun distance (rES = 1.5 Ã1011m).
a) Theescape velocity of an object is that for which thetotalenergy of an object in a gravitational field iszero. Write anexpression for the escape velocity of an object ofmass m adistance r away from the center of astar/planet of massM. b) The gravity of a black-hole isso strong that, if tooclose, not even light can escape. The pointat which the escapevelocity equals the speed of light is calledthe event horizon. Whatis the radius of the event horizon of a 1.5solar massblack-hole(MSUN=2Ã1030 kg)? c) Expresstheradius of the event horizon of a 2 billion solar massblack-hole(like the one at the center of our galaxy) in terms oftheEarth-Sun distance (rES = 1.5 Ã1011m).
