Spark image

Force, work energy and power – equations

Work done = Energy transformed = Force x displacement = FscosA

(This is an example of two vectors being multiplied together to give a scalar)

Fire-fighter sliding down a pole

mgh – ½mv2 = Fh

Climber sliding down a rope

mgh – ½mv2 = Fh

Parachutist

mgh – ½mv2 = Fh

with the parachute open the parachutist falls at their terminal velocity and so:

 
At terminal velocity:      Drag force (F) = mg

Skier on a slope

mgh – ½mv2 = Fs = Fsin A

where A is the angle of the slope with the horizontal

Car braking to a stop

½mv2 = Fs

Power = Work done/Time taken = Fs/t = Fv

Useful summary of similar equations involving Force



Impulse = Ft = Force x time
Work = Fs = Force x displacement
Power = Fv = Force x velocity
 

A VERSION IN WORD IS AVAILABLE ON THE SCHOOLPHYSICS USB
 
 
 
 
© Keith Gibbs 2020