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Kinetic and Potential
Energy
UCR MESA
What is Energy?
What does it mean if you
have a lot of energy?
For students it means you
can run around, lift weights
and scream.
If you have energy you can
do things.
http://www.nv.doe.gov/news&pubs/photos&films/atm.htm
What is Energy?
Energy is the ability to do work
This is similar to our every day definition of
energy. You can’t run up the stairs (work)
without energy!
We have lots of types of energy. Can you
name a few?
Energy comes in many different
forms
• Kinetic Energy
• Gravitational potential energy
• Thermal Energy (heat)
• Nuclear Energy (nuclear power, atomic bomb)
• Electrical Energy (electricity)
• Chemical Energy (food, fire, …)
We are going to look at the first two types of energy
Kinetic Energy
Kinetic energy is the energy of
motion
KE = ½ mv^2
Units: Joules (J)
m = mass
v = velocity
Let’s Practice
What is the kinetic energy of
this car when it is traveling
38.0 m/s?
What other information do
you need?
KE = ½ m v^2
= ½ (1550)(38.0)^2
= 1119100 J
= 1.11 x 10^6 J
Car’s mass = 1550kg
Potential Energy
Gravitational Potential Energy is
energy due to an objects
height above the ground
PE = mgh
m = mass
g = acceleration due to gravity
h = height
http://gaaf.com/pictures/200406_utah/image009.htm
Let’s Practice
A rock has a mass of 8.40 x 10^4
kg. The center of mass is 29.0 m
above the ground. How much
energy does it have?
PE = mgh
Identify the variables
m= 8.40 x 10^4 kg
g= 9.81 m/s^2
h= 29.0 m
PE = (8.4X10^4)(9.81)(29)
= 2.39 x 10^7 J
http://gaaf.com/pictures/200406_utah/image009.htm
What’s so important about PE and KE?
We call the sum of PE and KE mechanical
energy.
ME = KE + PE
Mechanical energy is important because it is
conserved (as long as there are no non
conservative forces, like friction)
Therefore, if one goes down, the other goes up by
the same amount.
Conceptual understanding
A penny is dropped off the Eiffel
tower (ignore air resistance). As
it falls, what happens to it’s
potential energy? What happens
to it’s kinetic energy?
As it falls, its velocity goes up, so its
kinetic energy goes up. It also
looses height so its potential
energy goes down.
However, mechanical energy stays
the same ME = KE + PE
From the California Standards Test
Copyright © 2004 California Department of Education.
From the California Standards Test
Copyright © 2004 California Department of Education.
From the California Standards Test
Copyright © 2004 California Department of Education.

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Kinetic and potential_energy

  • 2. What is Energy? What does it mean if you have a lot of energy? For students it means you can run around, lift weights and scream. If you have energy you can do things. http://www.nv.doe.gov/news&pubs/photos&films/atm.htm
  • 3. What is Energy? Energy is the ability to do work This is similar to our every day definition of energy. You can’t run up the stairs (work) without energy! We have lots of types of energy. Can you name a few?
  • 4. Energy comes in many different forms • Kinetic Energy • Gravitational potential energy • Thermal Energy (heat) • Nuclear Energy (nuclear power, atomic bomb) • Electrical Energy (electricity) • Chemical Energy (food, fire, …) We are going to look at the first two types of energy
  • 5. Kinetic Energy Kinetic energy is the energy of motion KE = ½ mv^2 Units: Joules (J) m = mass v = velocity
  • 6. Let’s Practice What is the kinetic energy of this car when it is traveling 38.0 m/s? What other information do you need? KE = ½ m v^2 = ½ (1550)(38.0)^2 = 1119100 J = 1.11 x 10^6 J Car’s mass = 1550kg
  • 7. Potential Energy Gravitational Potential Energy is energy due to an objects height above the ground PE = mgh m = mass g = acceleration due to gravity h = height http://gaaf.com/pictures/200406_utah/image009.htm
  • 8. Let’s Practice A rock has a mass of 8.40 x 10^4 kg. The center of mass is 29.0 m above the ground. How much energy does it have? PE = mgh Identify the variables m= 8.40 x 10^4 kg g= 9.81 m/s^2 h= 29.0 m PE = (8.4X10^4)(9.81)(29) = 2.39 x 10^7 J http://gaaf.com/pictures/200406_utah/image009.htm
  • 9. What’s so important about PE and KE? We call the sum of PE and KE mechanical energy. ME = KE + PE Mechanical energy is important because it is conserved (as long as there are no non conservative forces, like friction) Therefore, if one goes down, the other goes up by the same amount.
  • 10. Conceptual understanding A penny is dropped off the Eiffel tower (ignore air resistance). As it falls, what happens to it’s potential energy? What happens to it’s kinetic energy? As it falls, its velocity goes up, so its kinetic energy goes up. It also looses height so its potential energy goes down. However, mechanical energy stays the same ME = KE + PE
  • 11. From the California Standards Test Copyright © 2004 California Department of Education.
  • 12. From the California Standards Test Copyright © 2004 California Department of Education.
  • 13. From the California Standards Test Copyright © 2004 California Department of Education.