Hi, I want to know how to do qusetion A. Why can write ra2w=rb2w？
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Hi, I want to know how to do qusetion A. Why can write
ra2w=rb2w？
A planet...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions...
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
1) Please furnish the following definitions, carefully including the dimension of each and every quantity you...
1) Please furnish the following definitions, carefully including the dimension of each and every quantity you introduce. For example if momentum is P-mv, then me mass, unitske. V velocity, units. m/s. Each definition is worth 5 points: Centripetal force; Rotational Kinetic Energy, Angular acceleration; Speed of a satellite in a circular orbit around a planet of mass M. 2) The planet X revolves in an approximately circular orbit around a star. The radius of its orbit is 1.496x10m. Given that...
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same...
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
3) Consider the planet Mercury which has mass 3.34 x1023 kg, radius 2.44x10 m, semimajor axis...
3) Consider the planet Mercury which has mass 3.34 x1023 kg, radius 2.44x10 m, semimajor axis 5.79x1010 m, and eccentricity .206. a) What is the acceleration due to gravity on the surface of Mercury? b) What is the escape velocity from the surface of Mercury? c) Calculate the force exerted on Mercury by the sun at its perihelion and appihelion. d) What are the perihelion and appihelion velocities of Mercury? e) What is Mercury's angular momentum at these two locations?...
A moon of mass m orbits around a non-rotating planet of mass M with orbital angular velocity . The moon also rotates about its own axis with angular velocity .
1. A moon of mass \(m\) orbits around a non-rotating planet of mass \(M\) with orbital angular velocity \(\Omega\). The moon also rotates about its own axis with angular velocity \(\omega\). The axis of rotation of the moon is perpendicular to the plane of the orbit. Let \(I\) be the moment of inertia of the moon about its own axis. You can assume \(m<<M\)so that the center ofmass of the system is at the center of the planet.(a) What is...
Can someone help me with this question and show all work 1) Planet Velocities and Energy...
Can someone help me with this question and show all
work
1) Planet Velocities and Energy (33 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation: Here Vis the speed of the body in m/s, G is the gravitational constant,...
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A rocket carrying a new 945-kg satellite into orbit misfires and places the satellite in an...
A rocket carrying a new 945-kg satellite into orbit misfires and places the satellite in an orbit with an altitude of 175 km, well below its operational altitude in low-Earth orbit. (a) What would be the height of the satellite's orbit if its total energy were 450 MJ greater? km (b) What would be the difference in the system's kinetic energy? (Include the sign of the value in your answer.) Mj (c) What would be the difference in the system's...
could you please solve a and b? Chapier 2i. Note: you needn't derive Kepler's laws-but do...
could you please solve a and b?
Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...
Problem 1 Planetary Orbits Consider the two-body problem for a planet-star system. The planet, of mass m, is initially in a circular orbit of radius r and angular speed w about the star, of mass M. (i) What is the gravitational potential energy of the system, U? What is the kinetic energy of the planet, K? What is the total energy of the system, E = K +U? (ii) The star suddenly loses half of its mass, M + M/2....
2) Planet Velocities and Energy (10 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation V2= GM.[(2/r) - (1/a)] Here Vis the speed of the body in m/s, G is the gravitational constant, M. is the mass of the Sun...
1) Please furnish the following definitions, carefully including the dimension of each and every quantity you introduce. For example if momentum is P-mv, then me mass, unitske. V velocity, units. m/s. Each definition is worth 5 points: Centripetal force; Rotational Kinetic Energy, Angular acceleration; Speed of a satellite in a circular orbit around a planet of mass M. 2) The planet X revolves in an approximately circular orbit around a star. The radius of its orbit is 1.496x10m. Given that...
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orb o One-fourth as much o One-half as much Twice as much A. Four times much The average distance from the Earth to the Sun is defined as one "astronomical...
3) Consider the planet Mercury which has mass 3.34 x1023 kg, radius 2.44x10 m, semimajor axis 5.79x1010 m, and eccentricity .206. a) What is the acceleration due to gravity on the surface of Mercury? b) What is the escape velocity from the surface of Mercury? c) Calculate the force exerted on Mercury by the sun at its perihelion and appihelion. d) What are the perihelion and appihelion velocities of Mercury? e) What is Mercury's angular momentum at these two locations?...
Can someone help me with this question and show all
work
1) Planet Velocities and Energy (33 pts) We talked about how planet formation involves the collisions of bodies (planetesimals, embryos) leading to the growth (and heating) of a planet. Let's think about the velocities and energies involved here. a) The speed of a body in its orbit around the Sun is given by the equation: Here Vis the speed of the body in m/s, G is the gravitational constant,...
A rocket carrying a new 945-kg satellite into orbit misfires and places the satellite in an orbit with an altitude of 175 km, well below its operational altitude in low-Earth orbit. (a) What would be the height of the satellite's orbit if its total energy were 450 MJ greater? km (b) What would be the difference in the system's kinetic energy? (Include the sign of the value in your answer.) Mj (c) What would be the difference in the system's...
could you please solve a and b?
Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...
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