Gravitational Fields Mind Map
- Created by: Alabastine
- Created on: 08-07-20 05:18
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- Gravitational Fields--DM
- A Gravitational field is the region around a mass where another mass experiences a force.
- Radial Field
- a symmetrical field that diminishes with (distance)^2 from its centre
- Radial Field
- Newtons Law of Gravitation
- Any two point masses attract each other with a force that is directly proportional to the product of their masses & inversely proportional to the square of their separation.
- F=GMm/r^2
- Universal Gravitational Constant(G)=6.673×10-11 N m2 kg-2
- The gravitational force between two masses is independent of the medium separating the mass and is always an attractive force
- Gravitational Field Strength
- The gravitational force exerted per unit mass on a small object placed at that point.
- g=GM/r^2
- Units: N/kg
- Gravitational Potential
- The gravitational potential at a point is work done per unit mass in bringing a mass from infinity to the point
- P=-(GM)/r
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The negative sign is because: -Gravitational force is always attractive -Gravitational potential reduces to zero at infinity -Gravitational potential decreases in direction of field
- Ep=-(GMm)/r
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The negative sign is because: -Gravitational force is always attractive -Gravitational potential reduces to zero at infinity -Gravitational potential decreases in direction of field
- The gravitational potential energy difference between two points is the work done in moving a mass from one point to another.
- Gravitational Potential Energy
- Gravitational potential energy of a mass m at a point in the gravitational field of another mass m, is the work done in bringing that mass m from infinity to that point
- Ep=-(GMm)/r
- Gravitational Potential Energy
- Gravitational Potential Energy
- Gravitational potential energy of a mass m at a point in the gravitational field of another mass m, is the work done in bringing that mass m from infinity to that point
- Critical Velocity
- The minimum velocity that should be given to a satellite from a point above the earth's surface so that it moves in a circular orbit around the earth.
- V=?(GM/r)
- The orbital velocity does not depend on the mass of the satellite.
- Orbital Velocity is the velocity that should be given to a satellite so that it moves in a circular orbit around a planet.
- The orbital velocity does not depend on the mass of the satellite.
- Orbital Period
- T² = (4?^2r^3)/GM
- Keplar's Law of Planetary Motion
- T² ? r³
- T² ? r³
- Keplar's Law of Planetary Motion
- Keplar's Law of Planetary Motion
- The time taken for one complete revolution
- T² = (4?^2r^3)/GM
- T² = (4?^2r^3)/GM
- T² = (4?^2r^3)/GM
- Escape Velocity of a Satellite
- The minimum velocity with which an object must be projected from the earth's surface so that it escapes from the gravitational field.
- Ve=?(2GM/r)
- A Gravitational field is the region around a mass where another mass experiences a force.
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