1.2 Gravitational Fields and 1.3 Work in a gravitational field

Fields

  • an region in which an object experiences a force (electric = charged object. magnetic = magnetic object)

  • gravitational field = object with mass experiences a force

  • all objects with a mass have gravitational field which attracts other objects towards its centre of mass

  • represented by field lines with arrows that show direction of the force

  • closeness of lines represents strength

  • less arrows and larger distance = weaker field = less mass

  • more arrows and smaller distance = stronger field = more mass

  • larger force = larger acceleration

  • arrows closer at the surface than lines further away from the earth = gravitational field is stronger at the surface

Gravitational Field Strength

  • in CALCULATIONS - gravitational field strength and gravitational acceleration can be used interchangeably even though they are different conceptually because units workout to be the same

Work

  • energy transferred to or from an object as a force is applied by another object over displacement
  • measured in joules (J)
  • W = Fs
  • done when F and s are in parallel, or when F has a component parallel to s
  • a force with a component in direction of object’s movement = positive work
  • force with component opposite to the direction of object’s movement = negative

Work in Gravitational Fields

  • as an object falls down, gravitational field it is in does work on it
  • when object is lifted, work is done on the object is against gravitational field
  • stronger the field - more work is required

Energy

  • measure of ability to do work
  • when work is done, energy is transferred from object doing work to object having work done on it
  • all objects in gravitational field have potential energy based on distance from centre of mass of object producing the field
  • Ep = mgh
  • other points of reference (e.g. ground) = zero points - to make calculations easier
  • energy is a conserved quanity: the total energy (sum of kinetic or potential etc.) does not change