Gravitational and Electric Fields Flashcards
Newton’s Law of Gravity
an attractive force between two point masses
proportional to the product of their masses and inversely proportional to their separation squared
Concept of a force field
the region in which a body experiences a force
Representation of gravitational field lines (radial and uniform fields)
field lines show direction of force on a point mass in a gravitational field.
Equipotential
Line joining points of equal potential
No work is done moving an object along an equipotential
Gravitational field strength, g
the force acting per unit mass
Gravitational field strength units
N kg-1 VECTOR
Gravitational potential, V, (at a point)
work done per unit mass to move a small mass from infinity to that point.
Units of gravitational potential
J kg-1 SCALAR
Gravitational potential, V, at infinity
zero
Gravitational potential difference, V, between two points
work done per unit mass to move a small mass from one point to the other.
Area under graph of gravitational field strength against r
work done moving a unit mass between the two points
Gradient of graph of gravitational potential against r
gradient = -g (gravitational field strength); g = -V/r
Energy considerations of an orbiting satellite
Total satellite energy = kinetic energy + grav. potential energy
Total satellite energy = 1/2mv^2 - GMm/r
Features of a geosynchronous orbit
- orbits over equator
- maintains a fixed position relative to surface of Earth
- period is 24 hours (same as the Earth)
- offers uninterrupted communication between transmitter and receiver
- steerable dish is unnecessary
Escape velocity of an object from a planet
loss of kinetic energy = gain in grav. potential energy
to get to infinity, need to provide grav. potential energy