1 + Z Now suppose that this Universe is filled homogenously with black holes of 100...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge component, σ, such that log,o MBH8.0+40logo 200km/ The gravitational radius, Ra. (in a sense the "sphere of influence") of a black hole can be defined by the distance from the center at which the orbital speed of a star due to the black hole alone (i.e. neglecting...
Now we consider a black hole of the same mass as the Sun: Mbh 2x 1030 kg. (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a pl M, you can only escape the planet's gravity if you start from a radius r > 2GM/ t of mass Hint: Use Newtonian mechanics. What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
Now we consider a black hole of the same mass as the Sun: Mbh 2 x 1050 k (a) (2 marks) Show that if you are launching a rocket with velocity v upwards from a planet of mass M, you can only escape the planet's gravity if you start from a radius r > 2GM/v2 Hint: Use Newtonian mechanics What if your rocket is acutally a beam of light? If we forget about relativity for a minute, we can put...
Problem 4. Radiation from the black hole accretion disk.] In this problem you will find the temperature of an accretion disk surrounding the black hole, and the wavelength of maximal radiation from the disk. Note that the calculation is super-simplified - if you take more advanced astronomy courses, you will do the same calculation more carefully. In this problem 'BH' means black hole. We will consider the BH of mass equal to twenty solar masses MBH = 20 MSun. (a)...
Density of Planets and Moons Lab Objectives: In this lab you will learn: Part 1 – What density is, and how to experimentally determine it Part 2 – To calculate various physical quantities for the planet Mercury Part 3 – Group major solar system bodies by density Part 1. DENSITY Definition – Density =mass / volume. Symbolically, we write this as , where 1) ρ (the Greek letter “rho”) is the density, 2) m is mass, and 3) V is...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...