Calculate the Schwarzschild radius of an average human weighing 65 kg.
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- A white dwarf in a binary system has a radius of 7000 km and a mass equal (minus an infinitesimal amount) to the Chandrasekhar limit of $1.4 M_{\text {sun }}$. The companion transfers an infinitesimal amount of mass to the white dwarf which is enough to send it over the Chandrasekhar limit and it collapses to a neutron star with a radius of 14 km . Calculate the amount of gravitational potential energy released. NOTE: we can assume that the mass of the neutron star once is triggered and the mass of the WD are both equal to the Chandrasekhar mass in this case.Is this question even complete? I’m not sure what to do.Certain spiral galaxy is 9.7 Mpc away from us. How fast in km/s is this galaxy moving away from us?
- Sirius is about 9.00 ly from Earth. To reach the star by spaceship in 15.0 y (ship time), how fast must you travel?You discover by dropping particles into it that the Event Horizon (Schwartzschild Radius) of a black hole is 171 km. How massive is it? (enter just the number in solar masses)Calculate the deflection of light caused by the gravity of a star of mass 8Msun and radius 4Rsun.
- I understand that to an outside observer, the light from a star that is collapsing into a black hole will become more and more red-shifted as the surface of the star appears to approach the black hole event horizon. The outside observer will never actually see the surface of the star cross the black hole event horizon. This applies to all outside observers: at infinity, in orbit around the star/black hole or those using a rocket to hover above the black hole. Conversely, I know that for someone on the surface of the star that is collapsing to form a black hole it will appear quite different. The observer on the surface will not see anything unusual happen as they cross the event horizon and in a finite time they will reach the singularity at the center of the black hole where we do not know what will happen since general relativity breaks down in a singularity. So, now consider an observer that starts at a great distance from the star who is continually falling directly into the star…Imagine you are in an indestructible spaceship orbiting a black hole and you decide to launch a probe into the black hole. Explain how time would pass differently for you and the probe as it is pulled into the black hole. Also, explain what the onboard camera would observe as it passed the photon sphere and the event horizon.Asap, Typed format
- Explain the fact the special theory of relativity defines the limits for the validity of Newtonian mechanics.Which of the following statements best describes the behaviour of an object falling towards the Event Horizon of a Black Hole (according to an observer a long way from it)? As gravity increases the falling object will not suffer any change in appearence or the progression of time. As gravity increases the object's light will be compressed, leading to it looking bluer, with time appearing to passing more slowly for it. The falling object will appear to experience an increase in the rate of time, and it's colour will appear evermore red. As the falling object experiences ever stronger gravity, it will become redder and time will appear to pass more slowly for it.The area of the event Horizon of a black hole is 4tRg². Use the Schwarzschild metric to verify this. (Please answer in detail or skip)