Using Hydrostatic Equilibrium, calculate the density at the center of the Sun (r=0).
By hydrostatic law


Pc = pressure at center of sun = 340 billion atm = 3.4 x 10^16 Pa .... google search
and Ro = radius of sun = 7 x 10^8 m
p = 3.4x10^16 x 7x10^8 / (6.67x10^-11 x 2x10^30)
= 178410 kg/m^3
Using Hydrostatic Equilibrium, calculate the density at the center of the Sun (r=0).
Imagine a hypothetical star of radius R, whose mass density ρ is constant throughout the star. The star is composed of a classical ideal gas of ionized hydrogen, so there are free protons and free electrons flying around providing the pressure support. The star is in hydrostatic equilibrium (a) What is the pressure as a function of radius in the star, P(r)? As a boundary condition, the pressure at the surface should be zero, P(R) 0 (b) What is the...
2. [20 marks]: Hydrostatic equilibrium and the structure of gas giants. The equation of state of material in gas giants is well approximated by P-K 2 for some constant K that depends on the particulars (a) (8 marks) Show that p(r)- Po sin(ar)/(ar) is a solution to the equation of hydrostatic equilib- (b) (6 marks) At the planet surface, ρ(R)-0. Thus, what is the radius and total mass of the planet of hydrogen. rium for an appropriate choice of a....
1. For an atmosphere in hydrostatic equilibrium the variation of particle number density (# of particles per unit volume) of each species as a function of altitude (z) is found by equating gravitational and pressure forces. The resulting expression is: N(z) = No * e^(-(z - zo)/H) where N0 is a constant for each species, and z0 is an arbitrary reference altitude. The parameter H is called the scale height, which is equal to KT/mg. In the scale height expression...
In this problem, you will calculate the location of the center of mass for the Earth-Moon system, and then you will calculate the center of mass of the earth-Moon-Sun system. The mass of the Moon is \(7.35 \times 10^{22} \mathrm{~kg}\), the mass of the Earth is \(6.00 \times 10^{24} \mathrm{~kg}\), and the mass of the sun is \(2.00 \times 10^{30} \mathrm{~kg}\). The distance between the Moon and the Earth is \(3.80 \times 10^{5} \mathrm{~km}\). The distance between the Earth and...
how is this done? urgent.
(1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0
(1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0
calculate the hydrostatic pressure nornally "felt" at a depth of 44m on a calm day (i.e. no surface waves). uniform density of Pa=1023.87 kg m^-3 use the hydrostatic pressure equation (p=Pa g deltaZ)
1)For an atmosphere at rest, and therefore in hydrostatic balance, with a constant density of 1.3kgm-3, what is the pressure difference between z1=0 (sea level) and 10,000 meters (z2). b. For an ocean at rest, with a constant density of 1000kgm-3, what is the pressure difference between z1=0 (sea level) and a depth of 100 meters (z2).
± Tactics Box 14.1 Hydrostatics Learning Goal:To practice Tactics Box 14.1 Hydrostatics.In problems about liquids in hydrostatic equilibrium, you often need to find the pressure at some point in the liquid. This Tactics Box outlines a set of rules for thinking about such hydrostatic problems.TACTICS EOX 14+ Hydrostatics1. Draw a picture. Show open surfaces, pistons, boundaries, and other features that affect the pressure. Include height and area measurements and fluid densities. identify the points at which you need to find the...
1. Calculate the magnetic field at distance at r=13.5 cm from
the center of the conductor 2. calculate the magnetic firld at
distance r=27cm from the center of the conductor. 3. direction of
the magnetic field at point P in the figure.
P Flag question Question 19 Not yet answered Points out of 7.00 A hollow cylindrical conductor of inner radius a = 9 cm, and outer radius b = 22.5 has a non-uniform current density J = r^2 in...
A sphere R=0.200m has density d that decreases with distance r from the center: d=(3.00 X 103 kg/m3) - (9.00 X 103 kg/m4)r. Calculate the total mass and find I of the sphere for an axis through a diameter.