3.7 Fields and their consequences Flashcards
What is a force field?
An area in which an object experiences a non-contact force
How can a force field be represented?
- A vector, describing the direction of the force that would be exerted on the object, which allows the direction of the field to be deduced
- Field lines, where the distance between the field lines represents the strength of the force exerted by the field in that region
How are force fields formed?
During the interaction of masses, static charge or moving charges
How are gravitational fields formed?
During the interaction of masses
How are electric fields formed?
During the interaction of charges
What are the similarities between gravitational and electrostatic forces?
- Both follow an inverse square law
- Both use field lines to be represented
- Both have equipotential surfaces
What are the differences between gravitational and electrostatic forces?
- In gravitational fields, the force exerted is always attractive, while in electric fields the force can be either repulsive or attractive
- Electrostatic forces act on charges, while gravitational forces acts on masses
What is gravity?
The universal attractive force acting between all matter
What is Newton’s law of gravitation?
The magnitude of force between two masses is directly proportional to the product of the masses, and inversely proportional to the square of the distance between them
Describe a uniform gravitational field.
- Equally spaced parallel lines, with arrows pointing towards the surface
- The same gravitational force is exterted on a mass everywhere in the field
Describe a radial gravitational field.
- Equally spaced lines with arrows pointing towards the centre of the object
- Force exerted depends on position of object in field - as an object moves further away from the centre, the magnitude of the force decreases, as the distance between field lines increases
What is gravitational field strength?
The force per unit mass exerted by a gravitational field on an object
What is the difference between the gravitational field strength of a uniform field and a radial field?
It is constant in a uniform field, but varies in a radial field
What is the gravitational potential at a point?
The work done per unit mass required to move an object from infinity to a given point
What is the gravitational potential at infinity?
Zero
Why is gravitational potential always negative?
The gravitational potential at infinity is zero, and as an object moves from infinity to a point, energy is released as the gravitational potential energy is reduced, and the gravitational force is always attractive, so the system is always doing the work
What is gravitational potential difference?
The energy per unit mass needed to move an object between two points
What are equipotential surfaces?
Points of equal potential joined together, so the potential on the surface is constant everywhere
What is the gravitational potential difference when moving along an equipotential surface?
Zero, so no work is done
What is the relationship between gravitational potential and the distance between two objects?
The gravitational potential is inversely proportional to the distance between the centres of the two objects
What is the gradient of a V-r graph?
-g
What is Kepler’s 3rd law?
The square of the orbital period is directly proportional to the cube of the radius, T²/r³=k
How do you derive Kepler’s 3rd law?
Centripetal force = gravitational force to find v^2
v^2 = (2πr/T)^2 to find T^2 = (constant) r^3
What is the total energy of an orbiting satellite made up of?
Kinetic and potential energy
Why is the total energy of an orbiting satellite always constant?
If the height is decreased, its gravitational potential energy decreases, but it will travel at a higher speed, so kinetic energy increases, so total energy is always kept constant
What is escape velocity?
- The minimum velocity an object must travel at in order to escape the gravitational field at the surface of a mass
- The velocity at which the object’s kinetic energy is equal to the magnitude of its gravitational energy
What are synchronous orbits?
Where the orbital period of the satellite is equal to the rotational period of the object it is orbiting (24 hours if orbiting Earth)
What are geostationary satellites?
Satellites that follow a specific geosynchronous orbit, their orbital period is 24 hours so they always stay above the same point on Earth, as they orbit directly above the equator
What are geostationary satellites used for?
Sending TV and telephone signals
What are low-orbit satellites?
Satellites that have lower orbits than geostationary satellites, so they travel much faster making their orbital periods much smaller
What are low-orbit satellites used for and why?
- Monitoring weather
- Making scientific observations about unreachable locations
- Military applications, spying
- They require less powerful transmitters and are able to orbit across the entire Earth’s surface
What is Coulomb’s law?
The magnitude of the force between two point charges in a vacuum is directly proportional to the product of their charges, and inversely proportional to the square of the distance between them
What is air treated as when using the force between two charges equation?
A vacuum
For a charged sphere, where is charge assumed to act?
At the centre of the sphere
What is the nature of the force if charges have the same sign?
Repulsive
What is the nature of the force if charges have different signs?
Attractive