I. Work
A. Product of a force and a displacement.
1. At least a component
of the force must be in the direction of the displacement.
2. W = F s cos (theta)
B. Units
1. See table on page 117
in text
2. We normally use SI so
will use Joules - J = Nm
C. Be sure to define the object the work is being
done on
II. Energy
A. Definition
1. Energy is the ability
to do work.
2. If an object has energy,
it can do work on something else.
B. Types of mechanical energy
1. Kinetic Energy
a. Energy an object has by virtue of its motion
b. KE = ½ m v2
2. Gravitational Potential
Energy
a. Energy an object has by virtue of its position (in a gravitational field)
b. GPE = m g h
3. Elastic Potential Energy
a. Energy an object has by virtue of some deformation
b. We generally look at springs, so the deformation is stretching or compressing
the spring
c. EPE = ½ k x2
i. k is the force constant of the spring
B. Conservation of Energy
1. The total energy of an
isolated system is constant (conserved).
a. Etotal = constant
b. To apply in a problem, generally use Etotal 1 = Etotal
2
i. 1 and 2 refer to two situations of the system
2. The change of energy
of an isolated system is zero.
a. Etotal = 0
3. Remember, these refer
to the total energy. The individual types of energy can (and usually do)
change.
C. Work Energy Principle
A. Work done on a object
will produce a change in the energy of that object.
B. Wnet = Etotal
= KE + GPE + EPE = Wapplied - Wfriction
III. Power
A. Definition
1. Power is the rate at
which work is being done (or energy is being used).
2. P = W / t
3. Units
a. SI - Watt - W = J/s
b. British - (ft lb)/s
c. Horsepower - conversion from W or ft lb /s