DISCUSSION
1.
Concept of Work in
Physics
In
physics, the word work has difference in meaning with that of used in everyday
life. In everyday live, work is defined as anything done by human. While in
physics, work is the defined as force acting upon an object that causes the
object to displace. Therefore, if a force acts upon an objects but the object
does not displace, then it is said that the force does not apply work.
For example, man is pushing a car. The man tries hard to push up the car with all of
her energy but the car does not move at all. Whether the man is said to have attempted or doing work? In
the everyday life of the man is said to have been doing work, meaning that the man has been doing a task or job. Understanding
the work is different in everyday life is different in the sense of work in
physics. In physics, work is defined as the product of the force and
displacement. So, suppose there is a person who pushed the table but the table
is not moved, saying it has not made the work.
If an object is to get the style and
experience the movement of the things that gives the style had been doing work.
And if an object exerts a force even though the style is great, but the object
is not experienced then its displacement is zero or not going work. If an
object is the force (F) and the object is experiencing displacement (d) that the direction of the force applied
then the force has been doing work (W) of the force applied multiplied by the
displacement.
Then the work done by the force can we write in mathematically as follows:
Then the work done by the force can we write in mathematically as follows:
|
By:
= joule or work unit Nm
= Force unit N or kg m/s2
= displacement unit m
= joule or work unit Nm
= Force unit N or kg m/s2
= displacement unit m
With a quantity
trade above can be negative or positive and can be worth zero.
Example question:
An object on the pull with a force of 40 N to the north and 120 south Newton resulting object is shifted as far as 2 meters. Find work working on this style.
Hint:
F1 = 40 N
F2 = 120 N
Then R= F2-F1 = 120 N - 40 N = 80 Newton
S = 2 meters
Question:
W = .... Joule
Answer:
W = F d = 80 N x 2 m = 160 Joules
F1 = 40 N
F2 = 120 N
Then R= F2-F1 = 120 N - 40 N = 80 Newton
S = 2 meters
Question:
W = .... Joule
Answer:
W = F d = 80 N x 2 m = 160 Joules
2.
Concept of Energy in
Physics
Energy and work occupy an important part of
our ordinary life and are among the most important topics in physics. Energy
exists in several forms such as heat, mechanical energy ( potential and kinetic
energy), light, electrical, or other forms.
But in this case, focus of explanation in mechanical energy.
We use energy to do work. The concepts of work and energy are closely tied to the
concept of force because an applied force can do work on an object and cause a
change in energy. Energy in physics is defined as the ability to do work. When
energy is changed from one form to another, the total amount present does not
change. The SI unit of energy is the joule (J) or newton-meter (N * m). The
joule is also the SI unit of work.
Mechanical energy is the energy that is
possessed by an object due to its motion or due to its position. Mechanical
energy can be either kinetic energy (energy of motion) or potential energy (stored
energy of position). Objects have mechanical energy if they are in motion
and/or if they are at some position relative to a zero potential energy
position (for example, a brick held at a vertical position above the ground or
zero height position). A moving car possesses mechanical energy due to its
motion (kinetic energy). A moving baseball possesses mechanical energy due to
both its high speed (kinetic energy) and its vertical position above the ground
(gravitational potential energy).
a.
Potential Energy
An object can store energy as the result of
its position. Potential energy is the
stored energy of position possessed by an object .
For example : A drawn
bow is able to store energy as the result of its position. When assuming its usual position (i.e.,
when not drawn), there is no energy stored in the bow.
Gravitational Potential Energy
As an object falls toward the Earth, the
Earth exerts a gravitational force
on
the object, with the direction of the force being the same as the direction of
the object’s motion. The gravitational force does work on the object and
thereby increases the object’s kinetic energy.
There is a direct relation between
gravitational potential energy and the mass of an object. More massive objects
have greater gravitational potential energy. There is also a direct relation
between gravitational potential energy and the height of an object. The higher
that an object is elevated, the greater the gravitational potential energy. The
symbol for gravitational potential energy is Ug. These relationships are
expressed by the following equation:
In the
above equation,
represents
the mass of the object,
represents the height of the object and
represents
the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as
the acceleration of gravity.
To
determine the gravitational potential energy of an object, a zero height
position must first be arbitrarily
assigned. Typically, the ground is considered to be a position of zero height.
But this is merely an arbitrarily assigned position that most people agree
upon.
Since
the gravitational potential energy of an object is directly proportional to its
height above the zero position, a doubling of the height will result in a
doubling of the gravitational potential energy. A tripling of the height will
result in a tripling of the gravitational potential energy.
Sample Question : A cat
had climbed at the top of the tree. The Tree is 20 meters high and the cat
weighs 6kg. How much potential energy does the cat have?
The answer is :
From the problem above, we conclusion that
gravitational potential energy depend on mass and height.
b.
Kinetic Energy
Kinetic energy is the
energy of motion. An object that has motion - whether it is vertical or
horizontal motion - has kinetic energy.
When
we do work on a ball by throwing it, what becomes of this work ? Let us suppose
we apply the constant force F to the ball for a distance x before it leaves our
hand, as Figure under. The work done on the ball is therefore, since
,
The mass of the ball is m. As we throw it,
its acceleration has the magnitude
According to the second law of motion,
We know from the formula
that
when an object starting from rest (
) undergoes an acceleration of magnitude
through a distance
, its final speed
is
related to
and
by
Substitute
for ,
we find that
Which we can rewrite as
The quantity on the left-side,
, is the work our hand has done in throwing
the ball.The quantity on the right-hand side,
, must therefore be the energy acquired by
the ball as a result of the work we did on it. This energy is kinetic energy,
energy of motion. That is, we interpret that preceding equation as follows.
Work done on ball = kinetic energy of ball
The kinetic energy of an object of mass m and
velocity
is
therefore
Where
is
mass of object,
is
velocity.
Example :
Find the kinetic energy of the car.
Figure 9. Car drove with velocity
The answer is :
3.
Relation Between Work
and Energy
a. Relation
Between Kinetic Energy and Work
Let’s examine how can we derive an equation
that expresses the relationship between work and kinetic energy. Suppose we
continue to impose force F on a cart in motion. In a direction parallel to that
cart’s velocity. That cart has mass m and starts with an initial, uniform
velocity of v.
Figure 11. Block
drove until r m
Since F is defined as constant, the cart is
experiencing uniform acceleration. Therefore, if we represent the cart’s
acceleration with
, we know that the following must be true :
Substitute using Newton’s second law :
And we will get the following
Then if we simply multiply both sides by 1/2
, we are there.
In this case, in which work is done on a system and the
only change in the system is in its speed, the work done by the net force equals the change in
kinetic energy of the system ( Work-Kinetic Energy Theorem). Work-Kinetic
Energy Theorem applies to positive and negative work. If work, W, performed on
positive object ( direction of net force in the same direction with
displacement). But if work done is negative ( direction of net force is
opposite direction with displacement, then
decreases. If total of work is zero, so
kinetic energy of an object is constant.
b. Relation
Between Potential Energy and Work
To develop mathematical relationship between
work and gravitational energy, start with the equation for work.
From the force of gravity on a mass near
Earth’s surface is given by :
Substitute
into
work equation :
Since gravitational potential energy is
vertical displacement so the equation will be :
4.
Concept The Law of
Conservation Mechanical Energy
The energy that is in us to connect with the
energy in the universe. We will refer a little to the energy laws of physics,
to parse and identify how energy works. Law of Conservation of Energy reads:
"Energy can be transformed from one form to another but can not be created
nor destroyed (energy conversion)".
Because energy is conserved, the energy in
the universe is the number never changes, no waxes and wanes. There is only a
change of energy from one form to another.
In the physical sciences are used today,
counting the amount of energy over the energy changes that occur in an object /
material. Because every material has energy.
The energy of a material can be calculated
through the processes or specific causes, such as the energy of a moving
object, the result of the combustion energy, the energy of a chemical process,
electrical energy, and others.
Mechanical energy
What if a moving object has a certain height?
So the answer is it has potential energy and kinetic energy. The second is the
amount of energy called mechanical energy. In other words, the sum of the kinetic and
potential energies—the total mechanical energy E—remains constant. This
is an example of the principle of conservation
Em = Ep + Ek
An object moving in the gravitational field
will apply the law of conservation of mechanical energy.
Em = Ep + Ek = eternal and Ep1 + Ek1 = Ep2 + Ek2
5.
Concept of Power in
Physics
Power is the ability
to convert a form of energy into a form of energy. For example, if there is a
100-watt light that efficiency is 100%, then every second lamp will change the
100 joules of electrical energy into light energy to 100 joules of light. The
greater the power of the tool, the greater the ability of the instrument to
change a form of energy into another form of energy. Mathematically, the
relationship between power, work and time is defined as follows:
P = Power (watt)
W = Work (joule)
t = Time (s)
Example question: A man who climbed the ladder of mass 60 kg for 4
second. If the vertical height of the ladder is 4 feet, calculate the man power
in watts, and the amount of energy needed to climb the ladder. Suppose the
acceleration of gravity (g) = 10
Known : m : 60 kg h : 4m
t : 4s
g : 10
Large Power :
REFERENCES
Halliday-Resnick-Walker 8th edition. Fundamental of Physics.
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