The work done on an object is equivalent to the change in energy of that object
Work
1. Applied force causes displacement over distance
2. Work is done
Work
W = Fs where the displacement is parallel to the force
Work is done when an applied force causes the position of an object to change
The work done on an object is equivalent to the energy transfer that takes place when a force causes the position of an object to change (displacement)
Work
W = 125 x 3.20 = 400 J
Work is equivalent to change in energy
No work is done in the vertical direction because the vertical displacement is zero
Forms of energy
Kinetic
Elastic
Gravitational potential
Rotational kinetic
Heat
Electrical
Heat is not a form of energy but a flow of energy between two objects due to a temperature difference
Energy transfer
Work done (W) is equal to the change in energy (∆E) of an object or system
Energy is transferred whenever work is done on or by an object (or system)
The energy content of an object or system decreases when it does work, and increases when work is done
Energy is transformed whenever energy changes forms
Kinetic energy
Speed increases when work is done on a moving object
Gravitational potential energy
Energy an object has due to its position in a gravitational field
Work is done in changing the vertical position of an object in a gravitational field
Work is done in moving an object away from the surface of the Earth
An object does work as it moves towards the surface of the Earth
The work done (W) is equal to the change in the gravitational potential energy (Ep) of the object
Conservation of energy
Energy is conserved when transferred from one object to another in an isolated system
Solving problems using the conservation of energy
1. Identify the types of energy involved
2. Apply the law of conservation of energy
3. Calculate changes in energy
Law of Conservation of Energy
Energy is never created or destroyed, it can only be transferred into different types or transferred between objects
Example: A ball falling under gravity
Object has gravitational potential energy but no kinetic energy when held at a height
Gravitational potential energy decreases as it falls
Gravitational potential energy is transformed into kinetic energy
Change in gravitational potential energy (∆Ep)
Equal to the change in kinetic energy (∆Ek) of the object, if friction is ignored
Ep1 + Ek1
Equal to Ep2 + Ek2
Mechanical energy
The sum of the potential and kinetic energies of a macroscopic object
The mechanical energy of an object or system is conserved in any physical process
∆Ek + ∆Ep
Equal to 0
The speed of a ball can be determined using the Law of conservation of mechanical energy
The speed of the skier is unlikely to be as high as the calculated value
Energy losses in systems involving energy transfers
Energy is lost during a mechanical process
Moving objects are opposed by restrictive forces (such as friction) that act in the opposite direction to the motion
Friction includes air resistance and sliding friction
A moving object does work in overcoming the restrictive forces which results in less energy being transformed into useful work
No mechanical process is 100% efficient in transforming energy into useful forms
Efficiency is less than 100% due to energy losses
Wasted energy is the energy that is not transformed into useful work
Worked example: Calculating the useful work and efficiency of a forklift truck
1. Calculate the useful work done (Ep = mgh)
2. Calculate the efficiency (useful energy / total energy)