Hydrogen on the Sun. The surface of the sun has a temperature of about 5800 K and consists largely of hydrogen atoms. (a) Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67 × 10 −27 kg.) (b) The escape speed for a particle to leave the gravitational influence of the sun is given by (2 GM /R) 1/2 , where M is the sun’s mass, R its radius, and G the gravitational constant (see Example 13.5 of Section 13.3). Use Appendix F to calculate this escape speed. (c) Can appreciable quantities of hydrogen escape from the sun? Can any hydrogen escape? Explain.
Hydrogen on the Sun. The surface of the sun has a temperature of about 5800 K and consists largely of hydrogen atoms. (a) Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67 × 10 −27 kg.) (b) The escape speed for a particle to leave the gravitational influence of the sun is given by (2 GM /R) 1/2 , where M is the sun’s mass, R its radius, and G the gravitational constant (see Example 13.5 of Section 13.3). Use Appendix F to calculate this escape speed. (c) Can appreciable quantities of hydrogen escape from the sun? Can any hydrogen escape? Explain.
Hydrogen on the Sun. The surface of the sun has a temperature of about 5800 K and consists largely of hydrogen atoms. (a) Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67 × 10−27 kg.) (b) The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun’s mass, R its radius, and G the gravitational constant (see Example 13.5 of Section 13.3). Use Appendix F to calculate this escape speed. (c) Can appreciable quantities of hydrogen escape from the sun? Can any hydrogen escape? Explain.
You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your
spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of
6m at the front surface and a length of 25 m. You have to cross the interstellar medium with an
approximated density of 1 hydrogen atom/m³.
(a) Calculate the time it takes your spaceship to reach Sirius.
(b) Determine the mass of interstellar gas that collides with your spaceship during the mission.
Note: Use 1.673 × 10¬27 kg as proton mass.
You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3 . (a) Calculate the time it takes your spaceship to reach Sirius. (b) Determine the mass of interstellar gas that collides with your spaceship during the mission. Note: Use 1.673 × 10−27 kg as proton mass. Considering the effect of time dilation c)how many years will have passed from your perspective?d) at what earth date will you arrive to earth? ( your spaceship launches in june 2020 and returns back to earth directly from sirius)
The force between two inert gas atoms is often described by a function of the form F = [Ax^−13 + Bx^−7] ex where A and B are positive constants and x is the distance between the atoms. The origin has been placed at the location of one of the atoms, and F is the force on the other atom; ex points from the origin towards the other atom. Answer in terms of A and B.
(a) Plot the component of F as a function of x. For which values of x is this an attractive force, and for what values is this a repulsive force?
(b) What is the equilibrium separation?
(c) What is the work done if the atoms are moved from their equilibrium separation to a very large distance apart?
(d) Is this a conservative force? If yes, show it! If no, explain.
(e) Find the potential energy function (if applicable). Plot this function versus x.
(f) Explain the relation between your answers to parts b and d.
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