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Gravitational Potential Energy (GPE)
Energy gained when an object is raised above the Earth.
Formula for GPE
Eₚ = mgh.
m in Eₚ = mgh
Mass (kg).
g in Eₚ = mgh
Gravitational field strength (N/kg).
h in Eₚ = mgh
Height (m).
Relationship Between GPE and Work Done
GPE is equal to the work done lifting an object.
Kinetic Energy (KE)
Energy due to motion.
Formula for KE
Eₖ = ½mv².
m in Eₖ = ½mv²
Mass (kg).
v in Eₖ = ½mv²
Speed (m/s).
Work Done
Work is done when a force moves an object through a distance.
Formula for Work Done
W = Fd.
F in W = Fd
Force (N).
d in W = Fd
Distance moved in the direction of the force (m).
One Joule of Work
1 J is done when a force of 1 N moves an object 1 m in the direction of the force.
Example Where Work Is Done
Climbing stairs.
Example Where No Work Is Done
Pushing a wall that does not move.
Another Example Where No Work Is Done
Carrying a box horizontally.
When Is No Work Done?
When the object does not move or the force is perpendicular to the direction of motion.
Effect of Friction on Energy
Friction transfers energy to the internal (thermal) energy store.