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The equation mgy for gravitational potential energy is valid only...
4. The equation mgy for gravitational potential energy is valid only for objects near the surface...
4. The equation mgy for gravitational potential energy is valid only for objects near the surface of a planet. Consider two very large objects of mass m1 and m2, such as stars or planets, whose centers are separated by the large distance r. These two large objects exert gravitational forces on each other.The gravitational potential energy is U = − Gm1m2 r where G = 6.67 × 10−11Nm2/kg2 is the gravitational constant. (a) Sketch a graph of U versus r....
1) Use the gravitational potential energy and energy conservation arguments to write an expression for the...
1) Use the gravitational potential energy and energy
conservation arguments to write an expression for the
Kelvin-Helmholtz time, t_KH, for stars. Calculate t_KH (in years)
for stars of mass 10 Mo, 1 Mo, and 0.1 Mo. Assume they have
luminosities and radii like main sequence stars with these masses
1) Use the gravitational potential energy and energy conservation arguments to write an expression for the Kelvin-Helmholtz time, th, for stars. Calculate tkh (in years) for stars of mass 10 M.,...
The gravitational potential energy of a small satellite with mass m orbiting the Earth, mass M,...
The gravitational potential energy of a small satellite with mass m orbiting the Earth, mass M, is U(r) = −(GMm)/r, where r is the radial distance from the center of Earth to the satellite. Derive the gravitational force F(r) acting on the satellite by evaluating the gradient of the potential energy.
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
answer all please Problem 1. A block of mass m = 735 g is located on...
answer all please
Problem 1. A block of mass m = 735 g is located on an incline which makes an angle of 40 with the horizontal The friction coefficient between the block and the incline is K = 0.21. The block is released and it is let slide down the incline. (a) Draw a free body diagram and identify all forces acting on the block. Find the acceleration of the block (b) If the block moves d = 0.42...
?I need 7,8,9 and 10. Please show work, thank you :) For a circular merry-go-round, if...
?I need 7,8,9 and 10. Please show work, thank you :)
For a circular merry-go-round, if the moment if inertia is 600 kgm^2, what angular acceleration does the 150 N force generate applied perpendicular to a radius of 2.0 meters? 6 rad/s^2 1.5 rad/s^2 0.5 rad/s^2 3 rad/s^2 2 rad/s^2 Two bowling balls (m_1 = 8 kg and m_2 = 6 kg) are separated by 0.5 meters, what is the gravitational force that bowling ball# 1 exerts on bowling ball...
3. A simple model of a Neutron star is an ideal gas of neutrons (each with spin 1/2 in units of h...
3. A simple model of a Neutron star is an ideal gas of neutrons (each with spin 1/2 in units of h). Aside from the kinetic energy of the neutrons, one must consider the gravitational energy, which for a homogeneous star of mass M and radius R, is 3GM2 5R where G 6.67 x 10-11m3kg-'s-2 is the universal gravitational constant (i) We suppose in this problem that the Fermi temperature is large enough for T0 What general condition determines the...
Problem 1. The form of the gravitational potential energy of objects of mass mi and m2...
Problem 1. The form of the gravitational potential energy of objects of mass mi and m2 located at positions r,-z1x + yı у + zł z and r,-z2z + угу + z2z can be written as G mim2 G mim2 A) Find the gravitational force that particle 2 exerts on particle 1. Use Fon-VU B) Find the gravitational force that particle 1 exerts on particle 2. Use Fon2=-▽2U C) Do the forces found above satisfy Newton's third law of motion?
3 GM2 (5) The gravitational potential of a uniform-density sphere of mass M and radius R is E,-- Consider a white dwarf...
3 GM2 (5) The gravitational potential of a uniform-density sphere of mass M and radius R is E,-- Consider a white dwarf star which contains N electrons whose Fermi energy is Es. Since kaT <<Ef, the average electron energy is 3/5Er (derived in assignment 1) and the total electron energy is Ed-3/5NEs. The energies of the nuclei can be neglected. OE (a) Derive an expression for the gravitational pressure: P- OE (b) Derive an expression for the degeneracy pressure: Pa-...
On the surface of a planet of mass M and radius R, the gravitational potential energy of a molecule of mass m is
(c) (i) On the surface of a planet of mass \(\mathrm{M}\) and radius \(\mathrm{R}\), the gravitational potential energy of a molecule of mass \(\mathrm{m}\) is \(-\frac{G M m}{R}\). Show that the escape speed of a molecule from the surface is \(\sqrt{\frac{2 G M}{R}}\).(ii) The rms thermal speed of a molecule of mass \(m\) is given by \(v_{\text {th }}=\left(\frac{3 k T}{m}\right)^{1 / 2}\) where \(k\) is Boltzmann's constant . Using the appropriate temperature value from part (b) calculate the \(\mathrm{rms}\)...
1) Use the gravitational potential energy and energy
conservation arguments to write an expression for the
Kelvin-Helmholtz time, t_KH, for stars. Calculate t_KH (in years)
for stars of mass 10 Mo, 1 Mo, and 0.1 Mo. Assume they have
luminosities and radii like main sequence stars with these masses
1) Use the gravitational potential energy and energy conservation arguments to write an expression for the Kelvin-Helmholtz time, th, for stars. Calculate tkh (in years) for stars of mass 10 M.,...
A spacecraft of mass m = 1900 kg is moving on a circular orbit about the earth at a constant speed v = 5.12 km/s. [Given: Mass of the earth M = 5.98 times 10^24 kg, radius of the earth R = 6.37 times10^6 m, gravitational constant G = 6.67 times 10^-11 N.m^2/kg^2.] a. Determine the radius r of the circular orbit. b. What is the period T of the orbit? c. The satellite, by firing its engines, moves to...
answer all please
Problem 1. A block of mass m = 735 g is located on an incline which makes an angle of 40 with the horizontal The friction coefficient between the block and the incline is K = 0.21. The block is released and it is let slide down the incline. (a) Draw a free body diagram and identify all forces acting on the block. Find the acceleration of the block (b) If the block moves d = 0.42...
?I need 7,8,9 and 10. Please show work, thank you :)
For a circular merry-go-round, if the moment if inertia is 600 kgm^2, what angular acceleration does the 150 N force generate applied perpendicular to a radius of 2.0 meters? 6 rad/s^2 1.5 rad/s^2 0.5 rad/s^2 3 rad/s^2 2 rad/s^2 Two bowling balls (m_1 = 8 kg and m_2 = 6 kg) are separated by 0.5 meters, what is the gravitational force that bowling ball# 1 exerts on bowling ball...
3. A simple model of a Neutron star is an ideal gas of neutrons (each with spin 1/2 in units of h). Aside from the kinetic energy of the neutrons, one must consider the gravitational energy, which for a homogeneous star of mass M and radius R, is 3GM2 5R where G 6.67 x 10-11m3kg-'s-2 is the universal gravitational constant (i) We suppose in this problem that the Fermi temperature is large enough for T0 What general condition determines the...
Problem 1. The form of the gravitational potential energy of objects of mass mi and m2 located at positions r,-z1x + yı у + zł z and r,-z2z + угу + z2z can be written as G mim2 G mim2 A) Find the gravitational force that particle 2 exerts on particle 1. Use Fon-VU B) Find the gravitational force that particle 1 exerts on particle 2. Use Fon2=-▽2U C) Do the forces found above satisfy Newton's third law of motion?
3 GM2 (5) The gravitational potential of a uniform-density sphere of mass M and radius R is E,-- Consider a white dwarf star which contains N electrons whose Fermi energy is Es. Since kaT <<Ef, the average electron energy is 3/5Er (derived in assignment 1) and the total electron energy is Ed-3/5NEs. The energies of the nuclei can be neglected. OE (a) Derive an expression for the gravitational pressure: P- OE (b) Derive an expression for the degeneracy pressure: Pa-...
(c) (i) On the surface of a planet of mass \(\mathrm{M}\) and radius \(\mathrm{R}\), the gravitational potential energy of a molecule of mass \(\mathrm{m}\) is \(-\frac{G M m}{R}\). Show that the escape speed of a molecule from the surface is \(\sqrt{\frac{2 G M}{R}}\).(ii) The rms thermal speed of a molecule of mass \(m\) is given by \(v_{\text {th }}=\left(\frac{3 k T}{m}\right)^{1 / 2}\) where \(k\) is Boltzmann's constant . Using the appropriate temperature value from part (b) calculate the \(\mathrm{rms}\)...
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