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- The weak force is mediated by the exchange of virtual particles called the W+, W, and Zº. Taking the rest energy of one of these particles to be approximately 80 GeV (correct for the W* and W, but the Zº is more like 90 GeV), calculate the approximate range of the weak force. Do not just use a formula from class, but show the work involved in deriving the formula.The question is show that E=(1/2)mgl(theta)^2 . Pls help with this one.Please show all work and circle yoour answer. Thank you
- Can someone redo this problem or explain to me how tan theta = 1/.5?(a) Let L be the diameter of our galaxy.Suppose that a person in a spaceship of massm wants to travel across the galaxy at constantspeed, taking proper time τ. Find the kineticenergy of the spaceship. (b) Your friend is impa-tient, and wants to make the voyage in an hour.For L = 105 light years, estimate the energy inunits of megatons of TNT (1 megaton=4×109 J).A beam of π+meson (pions) at Fermilab are traveling at a speed of 0.92cwithrespect to the laboratory. The proper mean lifetime for these pions is 2.6×10−8s.(a) Is this proper lifetime measured in the laboratory frame or the frame of the pions?Why? (b) What is the mean lifetime as measured in the other frame of reference?
- Determine the general solution of the 1-dimensional Laplace equation on the cylinder coordinates and ball coordinates!An accretion disc may form around a black hole. This is a thin disc of orbiting matter spanning radii r = Rin to Rout around the black hole. We assume that Rout » Rin and so we make the simplifying approximation that Rout → +∞o. The disc radiates according to the following equation 3 GM D(r, 0) = 1 CM (1-[B]"). 4 3 Here, r and are the usual polar coordinates with the origin at the centre of the disc. G is the gravitational constant, M is the mass of the black hole, Rin is the disc inner radius, M is the accretion rate - all these are constants. (a) Integrate D(r, 0) over the surface of the disc to find the total radiation output of the disc. (b) Find the total radiation in the case of Rin = 6GM/c².The main mathematical tools of electromagnetism are (so far): Gauss, Stokes, Helmholtz. Write them out (in all their beauty). Don’t forget the integration boundaries