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.
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The gravitational potential energy of a small satellite with
mass m orbiting the Earth, mass M,...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as...
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
3. A satellite of mass m is orbiting the earth (mass M at a distance of...
3. A satellite of mass m is orbiting the earth (mass M at a distance of R in a circular orbit (a) Express the satellite's velocity as a function of R. (b) Express the total energy of the satellite as a function of R. (c) To increase the satellite's velocity (while keeping it in a circular orbit), should you increase or decrease the total energy?
A geosynchronous satellite is placed above the equator and orbiting around the earth to facilitate communication...
A geosynchronous satellite is placed above the equator and orbiting around the earth to facilitate communication around the world. (You may consider that the mass of the satellite is m, mass of the earth is M(6x1024 kg), center-to-center distance between the satellite and the earth is r, radius of the earth is R(6.4×106 m), and the universal gravitational constant G = 6.67x10-11 N.m2/kg2.) Satellite Earth Applying newton's 2nd law, write an equation describing the circular motion of the satellite. (4...
Calculate the gravitational force between the Earth and a satellite of mass 100 kg (Mass of...
Calculate the gravitational force between the Earth and a satellite of mass 100 kg (Mass of Earth - 6x 1024 and 66.673 x 1011 Distance from center of earth to the center of the satellite - 12 x 107 m) Attach File Brourse My Computer Browse Content Collection
A satellite in Earth orbit has a mass of 97 kg and is at an altitude...
A satellite in Earth orbit has a mass of 97 kg and is at an altitude of 1.94 x 105 m. (Assume that U = 0 as r → 00.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force...
please help! (1 point) How much work is required to lift a 1500-kg satellite to an...
please help!
(1 point) How much work is required to lift a 1500-kg satellite to an altitude of 1.100 m above the surface of the Earth? The gravitational force is F=GMm/r2, where M is the mass of the Earth, m is the mass of the satellite, and is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4. 100 m, its mass is 6 . 1024 kg, and in these units the gravitational constant,...
Two stars, each of mass M, orbit around their center of mass. The radius of their...
Two stars, each of mass M, orbit around
their center of mass. The radius of their common orbit is r (their
separation is 2r).
A planetoid of mass m (<< M) happens to move along the
axis of the system (the line perpendicular to the orbital plane
which
intersects the center of mass) as shown in the figure.
a. Calculate directly the force on the planetoid if it is
displaced a distance z from the
center of mass (you’ll need...
A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.98 X 100 m. (Assume that U = 0 asr →0.) (a) W...
A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.98 X 100 m. (Assume that U = 0 asr →0.) (a) What is the potential energy of the satellite-Earth system? What is the equation for gravitational potential energy when the altitude is comparable to the radius of the Earth? ) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does...
3. Potential energy of rings. You know that the gravitational potential energy of two interacting spherical...
3. Potential energy of rings. You know that the gravitational potential energy of two interacting spherical masses (e g. Earth and Sun) s u--GMm, where r distance between their centers. If the masses are not spherical, this expression is not valid. However, we can still find the total potential energy by dividing the non-spherical mass into bits, treating each tiny bit as a point mass (which gravitates like a sphere), and adding their effects. That is, U-J -GMdm. This integral...
A satellite of the Earth has a mass of 120 kg and is at an altitude...
A satellite of the Earth has a mass of 120 kg and is at an altitude of 5.00 ✕ 106 m. (a) What is the gravitational potential energy of the satellite-Earth system? ____________________________ J (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? _______________________N (c) What force does the satellite exert on the Earth? ________________________________N
Task 2 (Gravitational Potential of the Earth) In good approximation, the earth can be regarded as a sphere of homogenous mass density with radius R and total mass M. The gravitational potential of a mass m which has a distance r to the center of the earth is given by GMm , r>R U(r) 2R where Eo and G are constants a) Calculate the force F(r) which acts on a mass m at the earth's surface Hint: The gradient of...
3. A satellite of mass m is orbiting the earth (mass M at a distance of R in a circular orbit (a) Express the satellite's velocity as a function of R. (b) Express the total energy of the satellite as a function of R. (c) To increase the satellite's velocity (while keeping it in a circular orbit), should you increase or decrease the total energy?
A geosynchronous satellite is placed above the equator and orbiting around the earth to facilitate communication around the world. (You may consider that the mass of the satellite is m, mass of the earth is M(6x1024 kg), center-to-center distance between the satellite and the earth is r, radius of the earth is R(6.4×106 m), and the universal gravitational constant G = 6.67x10-11 N.m2/kg2.) Satellite Earth Applying newton's 2nd law, write an equation describing the circular motion of the satellite. (4...
Calculate the gravitational force between the Earth and a satellite of mass 100 kg (Mass of Earth - 6x 1024 and 66.673 x 1011 Distance from center of earth to the center of the satellite - 12 x 107 m) Attach File Brourse My Computer Browse Content Collection
A satellite in Earth orbit has a mass of 97 kg and is at an altitude of 1.94 x 105 m. (Assume that U = 0 as r → 00.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force...
please help!
(1 point) How much work is required to lift a 1500-kg satellite to an altitude of 1.100 m above the surface of the Earth? The gravitational force is F=GMm/r2, where M is the mass of the Earth, m is the mass of the satellite, and is the distance between the satellite and the Earth's center. The radius of the Earth is 6.4. 100 m, its mass is 6 . 1024 kg, and in these units the gravitational constant,...
Two stars, each of mass M, orbit around
their center of mass. The radius of their common orbit is r (their
separation is 2r).
A planetoid of mass m (<< M) happens to move along the
axis of the system (the line perpendicular to the orbital plane
which
intersects the center of mass) as shown in the figure.
a. Calculate directly the force on the planetoid if it is
displaced a distance z from the
center of mass (you’ll need...
A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.98 X 100 m. (Assume that U = 0 asr →0.) (a) What is the potential energy of the satellite-Earth system? What is the equation for gravitational potential energy when the altitude is comparable to the radius of the Earth? ) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does...
3. Potential energy of rings. You know that the gravitational potential energy of two interacting spherical masses (e g. Earth and Sun) s u--GMm, where r distance between their centers. If the masses are not spherical, this expression is not valid. However, we can still find the total potential energy by dividing the non-spherical mass into bits, treating each tiny bit as a point mass (which gravitates like a sphere), and adding their effects. That is, U-J -GMdm. This integral...
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