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3 GM2 (5) The gravitational potential of a uniform-density sphere of mass M and radius R is E,-- Consider a white dwarf...
Stars much heavier than our sun will not form white dwarf, but collapse further, becoming (if con...
Stars much heavier than our sun will not form white dwarf, but collapse further, becoming (if condition are right) neutron stars. They result from the supernova explosion of a massive star, combined with gravitational collapse, that compresses the core past white dwarf star density to that of atomic nuclei. Eventually neutron degeneracy pressure stabilizes the collapse, just as the electron does for white dwarfs. The Fermi Energy is given by where Z/A =1 and V corresponds to volume. The neutron...
3.(a) Using for kinetic and gravitational energies of the white dwarf star simplified ex pression...
3.(a) Using for kinetic and gravitational energies of the white dwarf star simplified ex pressions 2 NVI star 2me where me is the mass of the electron and V (4n/3) R3 is the star volume. Find the star radius Rmin at which the total energy Εκ + EC is minimal. (b) Sirius B is the second white dwarf discovered, with the mass close to that of the Sun Mun ะ 2 * 1030kg. Evaluate the number of protons N (assuming...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...
Imagine a hypothetical star of radius R, whose mass density ρ is constant throughout the star....
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...
Assume the Earth is a uniform density sphere with mass M- 5.972x1024 kg and radius R-6371...
Assume the Earth is a uniform density sphere with mass M- 5.972x1024 kg and radius R-6371 km. What is the gravitational acceleration inside the Earth, a distance of 1505 km from the centre? Express your answer in m/s4 Answer: 5.67 Check
Problem 2 Consider a solid sphere of radius R with a uniform charge density with total...
Problem 2 Consider a solid sphere of radius R with a uniform charge density with total charge Q distributed throughout its volume. a) Show that the electric field for this system is given by for r> R Ameoks for TSR b) What is the potential V (r) for the regions () r > R and r S R2 Use lim and remember that V (r) is continuous at r R r)0 as your reference point HINT: You might be able...
3.(a) Using for kinetic and gravitational energies of the white dwarf star simplified ex pressions 2 NVI star 2me where me is the mass of the electron and V (4n/3) R3 is the star volume. Find the star radius Rmin at which the total energy Εκ + EC is minimal. (b) Sirius B is the second white dwarf discovered, with the mass close to that of the Sun Mun ะ 2 * 1030kg. Evaluate the number of protons N (assuming...
2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...
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...
Assume the Earth is a uniform density sphere with mass M- 5.972x1024 kg and radius R-6371 km. What is the gravitational acceleration inside the Earth, a distance of 1505 km from the centre? Express your answer in m/s4 Answer: 5.67 Check
Problem 2 Consider a solid sphere of radius R with a uniform charge density with total charge Q distributed throughout its volume. a) Show that the electric field for this system is given by for r> R Ameoks for TSR b) What is the potential V (r) for the regions () r > R and r S R2 Use lim and remember that V (r) is continuous at r R r)0 as your reference point HINT: You might be able...
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