Gravitational Fields Flashcards
What does Newton’s law of gravitation state ?
Any object with a mass will attract another mass with a force inversely proportional to the square of the distance between them and directly proportional to the product of the two masses
What would happens to the force when the distance between the masses doubles ?
The force would decrease by a factor of 4
What is the equation produced of the attractive force as a result of the masses ?
F=GMm/ r^2
What is the gravitational constant ?
6.67*10^-11
What is the units of the gravitational constant ?
Nm^2kg^-2
How do you work out the gravitational field strength ?
GM/r^2 = g or f/m
When you substitute g into the equation for the force of attraction produced by the masses what does it tell us about g ?
G is the acceleration (F=ma=mg)
How can you define gravitational field strength?
The gravitational force exerted per unit mass on a point within the field.
What direction would the gravitational field strength lines be drawn ?
In the same direction as the gravitational force (towards the centre of the mass
What do gravitational field lines represent?
The direction of force experienced by a mass placed in a field.
What is a radial field ?
A field that exists between point masses and around uniform spheres
Why does the field lines considered to be uniform on earth ?
Towards the surface they appear to be parallel to each other
What are uniform field ?
A field where the value of the field strength is the same at all points . The field lines will be equally spaced and parallel to each other.
What is gravitational potential energy ?
Gpe is what is stored when work is done against the gravitational field to move an object in the opposite direction
What is the gravitational potential energy in a uniform field ?
Ep = mgh - for small distances
What is the gravitational potential energy in a non- uniform field ?
We take the Ep at r = ♾️ as 0 so have negative values for Ep.
Ep= - GMm/ r (sub GM/r^2 as g in mgh )
What stays consistent with both uniform and non-uniform fields ?
The Ep increases along with the height.
What is gravitational potential ?
The gravitational potential energy given to a unit mass in moving a point from infinity to a point within the field
How can you work out the gravitational potential?
-GM/r as it remains the same for any object at a distance r
Or Ep/m
What is the gravitational potential of a point within a gravitational field equal to ?
The work done per kilogram of mass in bringing the mass from infinity to the point
What is the gravitational potential at infinity ?
0
What quantity is gravitational potential?
Scalar
What is constant when a mass moves along the equipotential line ?
The gravitational potential energy as well as the gravitational potential as no work is done when something moves at right angles to the field
What angles are equipotential surfaces to the gravitational field?
Right angles