What is Kinetic Energy?
Kinetic energy is energy of motion. If an object has velocity, it has
kinetic energy. An object's mass and velocity affect the amount of kinetic
energy that an object has. The formula for kinetic energy is .5mv2
where m is the mass in kilograms and v is the velocity in
meters per second. The kinetic energy of an object is also equivalent to
the amount of work that that something performed on it, excluding the force
needed to overcome friction. Kinetic energy units are joules.
 |
Examples:
KE = .5mv2
KE = .5(100 kg)(5 m/s)
KE = .5(2500 kg m2/s2)
KE = 1250 kg m2/s2 or 1250 joules
|
Walk-through Discussion
- Begin by asking the students what kinds of energy exists. If they do
not mention kinetic energy then ask them if an object that is moving has
energy. Explain to them that this energy is motion energy, or kinetic energy.
- Tell the students that if an object has velocity, it has kinetic energy.
- Tell the students there are two things that affect the amount of kinetic
energy of an object.
- Ask them what two things affect it. If they do not come up with mass,
explain to them that if an object is heavier than another is, it has more
energy in it if both have the same velocity. This is because it took more
force to make it go that fast. If they do not come up with velocity, explain
to them that if an object is moving faster it took more energy to make
it move that fast so the object has more energy.
- Explain that if we know how fast an object is moving and its mass that
we can determine how much kinetic energy it has.
- Now tell the students you have two demonstrations of kinetic energy
for them.
- Take two objects with very different weights, i.e., a large textbook
and a spiral notebook.
- Explain to the students that these two objects have different masses.
- Tell the students to listen to the sound that each of the objects makes
when dropped from the same height.
- Raise the heavier object to some height and drop it.
- Then raise the lighter object to the same height and drop it.
- Ask the students if they thought the louder object had more or less
kinetic energy.
- Explain to them that the sound they heard was the object losing its
kinetic energy as it hit the ground, and that this loss of energy is greater
and therefore louder in the heavier object.
- Now tell the students they can do their own demonstration with the
model by doing the following:
- Position one of the characters on an end of the lever.
- Then hit the other end of the lever so the character flies off the
lever.
- Explain that as they hit it the kinetic energy from their hands transfers
across the lever and gives the character kinetic energy moving it off the
lever.
- Explain that in the circus performers are moving so they have kinetic
energy.
- Tell the students that the people in charge of the circus can calculate
how high they need someone to jump to launch another performer up into
the air.
mv2
where m is mass in kilograms and v is velocity in meters
per second.
- Now write on the board or overhead this sample problem:
We know an object has a mass of 10 kg and is moving at 5 meters per
second how much kinetic energy does this object have?
- Tell the students to try to find the answer in the next few minutes.
- After a few minutes ask them what they think the answer is. When someone
gets it right, write the following work on the board:
KE = .5mv2
KE = .5(10 kg)(5 m/s)2
KE = (5 kg)(25 m2/s2)
KE = 125 kg m2/s2 or 125 joules
- Tell them that if they did not show units then their answer would be
incorrect because units are necessary to determine type of unit of the
answer.
- Explain that there are various ways to transfer kinetic energy. Two
of these are direct contact and levers. The kinetic energy on one side
of a lever is equal to the kinetic energy on the other side of the lever.
- Now handout the two worksheets on the following pages and let the students
work on them in class and finish them up at home.
What it Leads Up To
Kinetic energy leads up to:
- Potential Energy
- Friction
Kinetic Energy
Content Worksheet
- Kinetic energy is energy of _______________.
- If an object has _________, it has kinetic energy.
- ___________ and ___________ affect the amount of kinetic
energy in an object.
- The formula for kinetic energy is ____________.
- __________ has more effect on kinetic energy than _____________.
- ___________ need to be shown in a kinetic energy problem.
- ________ _______ and ___________ are two ways to transfer
kinetic energy.
- The kinetic energy on one side of a lever is ________
to the kinetic energy on the other side.
- A still object has __________ kinetic energy.
- Write one example of how you use kinetic energy in your
life.
Kinetic Energy
Applications Worksheet
- Mr. Smith wants to find out how quickly he can propel
an object off a lever if he drops his book on the other end. His book has
a mass of 5 kilograms and hits the lever with a speed of 10 meters per
second. The object he wishes to launch has a mass of 2 kilograms. What
is the initial launch speed of the object?
- Joe is playing baseball. He wants to know how fastel off a tee at 20
meters per second. The ball has a mass of .3 kilograms and the bat has
a mass of 5 kilograms. How fast must the point of impact on his bat move
if he wants the ball to move at 20 meters per second?
Kinetic Energy
Content Worksheet
Answer Key
- motion
- velocity
- mass; velocity
- KE = .5mv2
- velocity; mass
- units
- direct contact; levers
- equal
- no
- answers will vary
Kinetic Energy
Applications Worksheet
Answer Key
1. Solution: 15.8 meters per second
KE = .5mv2
KE of the book is .5(5 kg)(10 m/s)2
KE = (2.5 kg)(100 m2/s2)
KE = 250 kg m2/s2
Therefore, the kinetic energy of the object on the other
side is 250 kg m2/s2
250 kg m2/s2 = .5(2 kg)v2
Solve for v
250 kg m2/s2 = 1 kg (v2)
250 m2/s2 = v2
v =
v = 15.81134 m/s
The velocity of the object is about 15.8 meters per second.
- Solution: 4.9 meters per second
KE = .5mv2
KE of the ball needs to be .5(.3 kg)(20 m/s)2
KE = .15 kg (400 m2/s2)
KE = 60 kg m2/s2
This means the kinetic energy of the place the bat hits
the ball must be 60-kg m2/s2
60 kg m2/s2 = .5(5 kg)v2
60 kg m2/s2 = 2.5 kg v2
24 m2/s2 = v2
v = 4.89898 m/s
The point of impact must be moving at about 4.9 meters
per second.