1. Work and Energy Unit

2. Energy The ability to do work or cause change
Can be transferred into other forms (energy flow)
Is conserved (can neither be created nor destroyed)
SI Unit is Joules
Anything with energy can produce a force that is capable acting over a distance

3. Work Force times distance the force is applied (W = Fd cos theta)
When work is done, energy is transferred, stored or used (a change occurs)
SI Unit is Joules 
Work is done by forces
The object must move for work to be done
Positive work is done in the direction of the displacement.

4. SI Unit is Watts (Joules/second)
Power
The rate at which energy is transferred or work is done (work per second)
SI Unit is Watts (Joules/second)
The faster the energy is used, the greater the power
More powerful if
more work is done in same time
same work is done in less time 

5. Work
Positive work is work done by a force acting in the direction of the displacement (or motion).
(example: force applied by engine to wheels of a car)
Negative work is work done by force acting in the opposite direction of the displacement (or motion)
(example: Friction)
LT 3
I can identify the difference between positive and negative work.

6. Work Another way of looking at this…
Positive work adds energy to the system
Negative work takes away energy from the system

7. 6.1 Work = force × distance
a) Did the weightlifter do work on the barbell and weights?
b) Is the weightlifter currently doing work on the barbell and weights?
c) Explain two ways that the work done by the weightlifter might be increased. 1. 2.

8. 9.1 Work = force × distance
Did the weightlifter do work on the barbell and weights?
Yes, when he first lifted them above his head.
Is the weightlifter currently doing work on the barbell and weights?
No, the barbell and weights are not moving.
Explain two ways that the work done by the weightlifter might be increased.
Increase the weight on the ends of the barbell
Increase the distance over which the weightlifter pushes the barbell and weights.

9. 9.1 Work Work has the same units as energy Joules Newton x meter
J N x m
One joule (J) of work is done when a force of 1 N is exerted over a distance of 1 m (lifting an apple over your head).

10. What happens to KE and TME when the brakes are applied
What happens to KE and TME when the brakes are applied? What work is being done?

11. Watch the transfer of KE and PE.
What happens to the PE when the skier moves down the hill?
What happens to the KE and TME when the skier travels over the unpacked snow?
What work is done?

12. Horsepower

13. 9.2 Power Jet engine vs. lawn mower engine
Both receive ½ gallon of fuel (same energy, same work)
A high-power jet engine does work rapidly, uses ½ gallon in 1 second.
The low-powered lawn mower engine does work slowly, using ½ gallon in 30 minutes.
vs.

14. P = w/t
9.2 Power
Power is the rate at which work is done or the force applied at a certain rate of speed (P = Fv)
The unit of power is the joule per second, also known as the watt.
One watt (W) of power is expended when one joule of work is done in one second.
One kilowatt (kW) equals 1000 watts.
One megawatt (MW) equals one million watts.

15. Power
When you run 3 km rather than walk, you use the energy more quickly because your body demands more energy per unit time.
When you compare the amount of energy required to operate an electric dryer vs. a laptop computer, the electric dryer demands more energy per unit time.
More energy per unit time means more power is required!
Needs 5500 J/s
Needs 50 J/s

16. Power 100 W incandescent light bulb
How much electrical energy per second?
100 joules per second.

17. 9.2 Power
The three main engines of the space shuttle can develop 33,000 MW of power when fuel is burned at the enormous rate of 3400 kg/s.

18. 9.2 Power
think!
If a forklift is replaced with a new forklift that has twice the power, how much greater a load can it lift in the same amount of time? If it lifts the same load, how much faster can it operate?

19. 9.2 Power
think!
If a forklift is replaced with a new forklift that has twice the power, how much greater a load can it lift in the same amount of time? If it lifts the same load, how much faster can it operate?
Answer:
The forklift that delivers twice the power will lift twice the load in the same time, or the same load in half the time.

20. Watch the transfer of KE and PE.
What happens to the PE when the skier moves down the hill?
What happens to the KE and TME when the skier travels over the unpacked snow?
What negative work is done?

21. When the object does not move.
9.1 Work
When the object moves.
When is work done on an object? When is work not done on an object?
When the object does not move.

22. The energy of motion Kinetic Energy KE = ½m x v2
Different forms of KE (mechanical, electrical, thermal, electromagnetic or light)
What is kinetic energy?
What are the forms of KE?

23. Kinetic Energy (mechanical)
KE increases with mass
KE increases with speed

24. WIND ENERGY
Atmospheric pressure differences cause air particles to move.

25. SOUND ENERGY
Energy caused by compression of air particles.

26. ELECTRICAL ENERGY
Energy of moving charged particles.

27. THERMAL ENERGY The energy of moving and vibrating molecules
Sometimes called heat.

28. LIGHT or RADIANT ENERGY
Energy that travels in waves as electromagnetic radiation and/or as photons.

29. 9.5 Kinetic Energy
When you throw a ball, you do work on it to give it speed as it leaves your hand. The moving ball can then hit something and push it, doing work on what it hits.
WORK

30. 9.5 Kinetic Energy
If the speed of an object is doubled, its kinetic energy is quadrupled (22 = 4).
It takes four times the work to double the speed.
An object moving twice as fast takes four times as much work to stop and will take four times as much distance to stop.

31. Kinetic Energy How does KE increase or decrease?
  Increase or decrease the velocity or the mass!!!!
Double the velocity, Quadruple the KE!!!!!
Prove it: Calculate the KE of a 2500 kg car traveling at 20 m/s and at 40 m/s
KE at 20 m/s KE at 40 m/s
(500,000 J) (2,000,000 J)

32. Kinetic Energy More mass, same speed, more KE.
Double the mass, double the KE
Prove it: Calculate the KE of a 100 kg cart and a 200 kg cart, each traveling at 15 m/s
100 kg cart at 15 m/s kg cart at 15 m/s
(11,250 J) (22,500 J)

33. Stored energy or the energy of position
Potential Energy
Stored energy or the energy of position
Gravitational PE is based on height and mass
Gravitational PE is mass x gravity x height (GPE = mgh)
Increases in height cause increases in stored energy
What is potential energy?
How does GPE change?

34. Gravitational Potential Energy
Energy is stored in an object as the result of increasing its height.
Work is required to elevate objects against Earth’s gravity.
Example: Water in an elevated reservoir and the raised ram of a pile driver have gravitational potential energy.

35. 9.4 Potential Energy
The amount of gravitational potential energy possessed by an elevated object is equal to the work done against gravity to lift it.
PE = mgh
What is the gravitational PE of a 10.0 kg object at 4.00 m above the ground?
mg is weight (in newtons) [mass (kg) x gravity (m/s2)]
10 kg x 9.8 m/s2 x 4 m = 392 J

36. 9.4 Potential Energy
The potential energy of the 100-N boulder with respect to the ground below is 200 J in each case.
The boulder is lifted with 100 N of force.

37. 9.4 Potential Energy
The potential energy of the 100-N boulder with respect to the ground below is 200 J in each case.
The boulder is lifted with 100 N of force.
The boulder is pushed up the 4-m incline with 50 N of force.

38. 9.4 Potential Energy
The potential energy of the 100-N boulder with respect to the ground below is 200 J in each case.
The boulder is lifted with 100 N of force.
The boulder is pushed up the 4-m incline with 50 N of force.
The boulder is lifted with 100 N of force up each 0.5-m stair.

39. Elastic Potential Energy—potential to do work
Energy stored in a stretched or compressed spring or material.
When a bow is drawn back, energy is stored and the bow can do work on the arrow.
These types of potential energy are elastic potential energy.

40. CHEMICAL POTENTIAL ENERGY
Energy due to the bond position between molecules (stored during bonding).
Potential chemical energy is released from chemical reactions (burning, for example).
Fuels, Food, Batteries, for example.

41. Difference between kinetic energy and potential energy
Kinetic energy The energy of motion
Potential energy
The energy of position or stored energy

42. Mechanical Energy
The sum of the KE and PE in a system: (total ME = KE + PE)
Describes energy associated with the motion of objects
The KE and GPE are conserved for moving objects (neglecting friction, drag, vibrations and sound)
What is mechanical energy?

43. Mechanical Energy = PE + KE
The total mechanical energy = 100 J
100 J = 100 J PE J KE
100 J = 50 J PE J KE
100 J = 0 J PE J KE

44. Watch how KE and gravitational PE transform
Where is the KE at the maximum?
Where is the PE at the maximum?
How is PE stored?

45. Watch the change in height vs. the change in speed!
How does the change in height affect KE and PE?

46. Same work, more force, less displacement (from left to right)

47. Non-Mechanical Energy
Energy not associated with the motion of objects
Typical examples are vibrations, sound and heat
Referred to as dissipated energy or waste energy
Can be “observed” at the molecular level
Path of energy transfer that reduces the KE of the object
What is non-mechanical energy?

48. Indicate where:
KE is at a minimum and maximum
GPE is at a minimum and maximum
The speed is greatest
The speed is least
Energy is being stored and released
Positions 1 and 5 are at the same height
1. Explain how energy transforms and is conserved as the pendulum swings back and forth
2. What happens as the KE increases?
3. What happens as the GPE increases?

49. KE min
KE min
PE max
PE max
V = 0 m/s
V = 0 m/s
transformation of PE to KE
(release)
transformation of KE to PE
(storage)
KE max
PE min
V = maximum

50. Work – Energy Theorem
Work done changes the energy. If a car has 34,000 J of KE, 34,000 J of work was done on the car to speed it up, and braking will require 34,000 J of negative work due to friction to bring the car to rest
What is the relationship between work and kinetic energy (work-energy theorem)?

51. 9.6 Work-Energy Theorem
Due to friction, energy is transferred both into the floor and into the tire when the bicycle skids to a stop.
An infrared camera reveals the heated tire track on the floor.

52. 9.6 Work-Energy Theorem
Due to friction, energy is transferred both into the floor and into the tire when the bicycle skids to a stop.
An infrared camera reveals the heated tire track on the floor.
The warmth of the tire is also revealed.
kinetic energy is transformed into thermal energy, sound and vibrations, which represent work done to slow the bike (Fd)

53. 9.6 Work-Energy Theorem
The work-energy theorem states that whenever work is done, energy changes.
Work = ∆KE
Work equals the change in kinetic energy.

54. 9.6 Work-Energy Theorem
Typical stopping distances for cars equipped with antilock brakes traveling at various speeds. The work done to stop the car is friction force × distance of slide.

55. 9.6 Work-Energy Theorem think!
When the brakes of a car are locked, the car skids to a stop. How much farther will the car skid if it’s moving 3 times as fast?

56. 9.6 Work-Energy Theorem think!
When the brakes of a car are locked, the car skids to a stop. How much farther will the car skid if it’s moving 3 times as fast?
Answer:
Nine times farther. The car has nine times as much kinetic energy when it travels three times as fast:

57. 9.7 Conservation of Energy
The law of conservation of energy states that energy cannot be created or destroyed. It can be transformed from one form into another, but the total amount of energy never changes.
For any system in its entirety—as simple as a swinging pendulum or as complex as an exploding galaxy—there is one quantity that does not change: energy.
Energy may change form, but the total energy stays the same.

58. 9.7 Conservation of Energy
Total Mechanical Energy
Total Mechanical Energy
Same energy transformation applies
Non-mechanical Energy (dissipated)
10 J of PE does 8 J useful work on the arrow and 2 J of non-useful work on the molecules that compose the bow and string and arrow. The arrow has 8 J of KE as a result.
The 2 J of heat can be called non-useful work (work that is not part of the object’s total mechanical energy).
Dissipated energy (DE) is amount of energy transferred away from the total mechanical energy. More DE means less KE, which reduces TME, which means less speed!

59. 9.7 Conservation of Energy
Total Mechanical Energy
Total Mechanical Energy
Non-mechanical Energy (dissipated)
The 2 J of heat can be called non-useful work (work that is not part of the object’s total mechanical energy).
Dissipated energy (DE) is amount of energy transferred away from the total mechanical energy. More DE means less KE, which reduces TME, which means less speed!

60. 9.7 Conservation of Energy
When energy is transformed, it is conserved, meaning that it will change form without losing its original amount of energy.

61. 9.7 Conservation of Energy
When the woman leaps from the burning building, the sum of her PE and KE remains constant at each successive position all the way down to the ground.

62. 9.7 Conservation of Energy
Elastic potential energy will become the kinetic energy of the arrow when the bow does work on the arrow.
As you draw back the arrow in a bow, you do work stretching the bow.
The bow then has potential energy.
When released, the arrow has kinetic energy equal to this potential energy.
It delivers this energy to its target.

63. 9.7 Conservation of Energy
Everywhere along the path of the pendulum bob, the sum of PE and KE is the same. Because of the work done against friction, this energy will eventually be transformed into heat.
Non-useful work can also be called non-useful energy!

64. 9.7 Conservation of Energy
Why does a tennis ball eventually stop bouncing?
Eventually, all of the total mechanical energy is transformed into non-useful energy (heat, sound, movement of fibers)
50 J PE
50 J KE
New height less than before means less PE stored 35 J PE
20 J PE
35 J KE
20 J KE
Bounce!
Bounce!
(bounce and so on!)

65. Watch how KE and gravitational PE transform
Where is the KE at the maximum?
Where is the PE at the maximum?
How is PE stored?

66. Watch the change in height vs. the change in speed!
How does the change in height affect KE and PE?

67. What happens to KE and TME when the brakes are applied
What happens to KE and TME when the brakes are applied? What work is being done?

68. Watch the transfer of KE and PE.
What happens to the PE when the skier moves down the hill?
What happens to the KE and TME when the skier travels over the unpacked snow?
What work is done?

69. Same work, more force, less displacement (from left to right)