Question

Schwarzschild radius (sometimes referred to as the gravitational radius) is the distance from the center of an object such that, if all the mass of the object were compressed within a sphere of such radius, the escape speed from the surface would equal the speed of light. It, thus, defines a spherical boundary called the event horizon, commonly associated with black holes, beyond which the events cannot affect an outside observer. Theoretically, any amount of matter will become a black hole if compressed into a space that fits within its corresponding Schwarzschild radius. 2GM 2GM Using equation for the escape velocity and setting it equal to the speed of light vescape c = 3 x 10° m/s, we can find the Schwarzschild radius: r - From this expression you can see that the Schwarzschild radius depends only on the object's mass Estimate the Schwarzschild radius for a mini-black hole formed when a super-advanced civilization decides to punish you (unfairly) by squeezing you until you became so small that you disappear inside your own event horizon. Assume your mass to be 70 kilograms (i.e. you weigh about 150 lbs). A. meters (use scientific notation and round the coefficient to two decimals). How does this compare with the radius of a proton which is about 8.8 x 10-1o m? Type "true" or false" next to each statement below В. С. my Schwarzschild radius is a lot bigger than a proton my Schwarzschild radius is somewhat bigger than a proton D. my Schwarzschild radius is about the same size as a proton E. my Schwarzschild radius is a somewhat smaller than a proton my Schwarzschild radius is a lot smaller than a proton F. QUESTION 26 For a spacecraft going from the Earth towards the Sun, at what distance from the Earth will the gravitational forces due to the Sun and the Earth cancel out? meters (use scientific notation and round the coefficient to two decimals). G. Earth's mass: MEarth 5.97 x 1024 kg The Sun's mass: MSun 1.99 x 1030 kg Earth-Sun distance: r 1.50 x1011 m

Answer 1

Schwarzschild radius = 2G m 2 :: no 24(6674x1074 m?/Kg, 527a(70ng ... (3x108 m2$ 1? 1038.2 x 1023 Radius of Proton ro=8.88 10 i p 8 2 .8 1038.2 *10-28 = 8,5 * 109 ... men my schwarzschild radius is a lot bigger that profon a false, My schwarzchild radius is same. as proton - False. my schwarzanild radius is some time smaller than proton- Fabe. my schwarzschild radius is a lot smaller than protona True (28) Let at a distance from the earch the gravitational forces due to the sun and the Earth cancel out. Scanned with CamScanner

FE! F = Gngm mo mass of Gram. the space srafa. Linn 1150 x 101m X2 a sms metu sms-in-xisme !!! * noma sms' +SME sox10m x 55.67x1024 པ་ཆན པ ། ༣ )s:ཨཀཱཡཱ ། བཞི་ = 2.59 x108 midir l ients dir; Scanned with c CamScanner :