Physics Galaxy Discussion Questions Solutions [portable] Jun 2026

V=4V0±(-4V0)2−4(3)(V02−1α)2(3)cap V equals the fraction with numerator 4 cap V sub 0 plus or minus the square root of open paren negative 4 cap V sub 0 close paren squared minus 4 open paren 3 close paren open paren cap V sub 0 squared minus the fraction with numerator 1 and denominator alpha end-fraction close paren end-root and denominator 2 open paren 3 close paren end-fraction

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Einstein radius for a point mass: $\theta_E = \sqrt\frac4GMc^2 \fracD_lsD_l D_s$ in radians.

. The conservative force acting on the electron is the negative gradient of the potential: physics galaxy discussion questions solutions

One mole of an ideal monatomic gas undergoes a process where pressure varies with volume

Local density ~ $0.1 M_\odot/\textpc^3$, but visible matter accounts for ~ $0.05 M_\odot/\textpc^3$ → evidence for local dark matter (though debated with baryonic dark candidates).

Assume:

dQ=ρ(x)⋅dV=ρ0(1−xR)(4πx2dx)d cap Q equals rho open paren x close paren center dot d cap V equals rho sub 0 open paren 1 minus the fraction with numerator x and denominator cap R end-fraction close paren open paren 4 pi x squared d x close paren

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$$ \Delta U = Q - W $$

Discuss the observational evidence linking supermassive black hole mass ($M_\textBH$) to galaxy bulge properties. How does AGN feedback solve the cooling flow problem in galaxy clusters?

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