The astronomer Edwin Hubble (1889-1953) is famous for observing that each object

Question

The astronomer Edwin Hubble (1889-1953) is famous for observing that each object in the is receding from the earth at a velocity that is proportional to its distance. Choosing earth as the gin. Hubble's law may be stated as v = Hr, where r is the position vector and H is called Hubble's parameter. Show that Hubble's law would be the same for an observer in any galaxy. That is, shown the relative velocity of any two points in the universe is described by the same equations. It has also been found that, on a large enough length scale (on the order of mega pass where 1 parsec = 3 times 10^13 km), the density of the universe is approximately uniform. If the continuity equation is applied to these observations (Hubble's law and uniform density) and if H is assumed to be constant, what is the implied functional form of rho (t)? It is generally accepted that H was much larger in the early universe than it is today. If it's assumed, for example, that H = c/t, where c is a constant, how is rho (t) affected? Conservation of Mass in Planar Extension Assume that a sheet of elastic material is being stretched continuously in one direction, its volume remaining constant. As shown in Fig. P2-6, the surface at x = 0 is fixed and that at x = L(t) is pulled to the right at a constant speed U. The instantaneous thickness is 2 delta (t). The initial length and thickness are L(0) = L_0 and delta (0) = delta_0, respectively. The other dimension is indefinitely large and  there is no motion in the z direction. Assuming that the velocities in the elastic solid are of the form v_x = v_x(x, t) and v_y = v_y(y, t) show that v_x(x, t) = epsilon (t)x, v_y(y, t) = -epsilon (t)y, epsilon (t) = 1/L dL/dt = -1/delta d delta/dt where epsilon is the rate of strain.

Explanation / Answer

hubbles law is v=HoD.

here v is the velocity of recession, H0 is constant and D is the distane of the galexy from the observer.

as there is no center of universe.every observer would observe the distanct galaxies rushing away from him.so hubbles law would be the same for all galaxies.

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