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Aya Sharaireh
9 A
JUBILEE
Kinetic Energy
 If an object is moving, it has energy.
(Be careful, the converse of this
statement is not always true!)
 This energy is called kinetic energy -
the energy of motion.
Kinetic Energy
 An object’s kinetic energy depends on:
 the object’s mass.
 Kinetic energy is directly proportional to
mass.
 the object’s speed.
 Kinetic energy is directly proportional to
the square of the object’s speed.
Kinetic Energy
 In symbols:
KE = 1
2
mv2
Kinetic Energy
Kinetic energy is a scalar quantity.
Common units of kinetic energy:
Joules
An object with mass of 1 kg, moving
at 1 m/s, has a kinetic energy of 0.5
Joule.
Work
When the kinetic energy of an
object changes, work has been
done on the object.
Units of work: Joules
Work is a scalar quantity.
Work
 Work depends on:
 The amount of force applied to the object.
 The distance that the object moves while
the force is applied.
 The direction of the force with respect to
the direction the object moves.
Work
 If the force on the object is in the
direction the object moves, the work
done is:
W = Fx
F
x
Work
 If the direction of the force is opposite
the direction the object moves, work is:
W = -Fx
F
x
Force is NOT Work
 If the force is perpendicular to the
direction the object moves, the work
done is 0.
 If the object doesn’t move, the work
done is 0.
F
x
W = 0
Work and Kinetic Energy
 The work done on an object by the net
force equals the object’s change in
kinetic energy.
Wnet = ∆KE
Potential Energy
 Sometimes work is not converted
directly into kinetic energy. Instead it is
“stored”, or “hidden”.
 Potential energy is stored energy or
stored work.
Potential Energy
 Potential energy is energy that an
object (system) has due to its position
or arrangement.
Calculating Potential Energy
 To calculate the potential energy of a
particular arrangement:
1. Pick a position or arrangement that
you want to call the “potential energy
= 0” situation.
Calculating Potential Energy
2. The potential energy of any other
position or arrangement equals the
negative of the work that the
conservative force does in changing
from the potential energy = 0 situation
to that one.
PE = - WorkF
Conservative Forces
 Energy or work is stored when a force
does work “against” a force such as the
gravitational force or a Hooke’s Law
(spring) force.
 Forces that store or hide energy are
called conservative forces.
Gravitational PE
 The gravitational potential energy of an
object at height h equals the negative of
the work that gravity does when the
object is lifted from the PE = 0 position.
GPE = mgh
Mechanical Energy
 Mechanical Energy = PE + KE
Conservation of Energy
 If no external forces act on a system,
the total energy of the system will
remain constant.
Power
 Power is the rate work is done.
Power =
∆Work
time
W
P t
Power
 Units of power: 1 Joule/sec = 1 Watt
 1000 Watts = 1 kilowatt
 Power is a scalar quantity.
(Simple) Machines
 A machine is a mechanical device used
to do work.
 Examples of simple machines:
 Inclined plane
 Lever
 pulley
(Simple) Machines
 A machine can never output more work
(energy) than is put into it.
 At best,
Workout = Workin
Machine
Workin
Workout
Mechanical Advantage
 Machines can’t multiply work or energy,
but they can multiply force. Mechanical
advantage measures how much a
machine multiplies force.
MA =
Force machine exerts
Force you exert
Efficiency
 The efficiency of a machine tells how
much of the energy (work) that goes
into the machine actually does useful
work.
 It is usually expressed as a percent.
Efficiency =
Useful work done
Energy input
x 100%
The End