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TITLE:Work,
Energy
and Power
ISN PAGE 104
What is Force?

*FORCE IS A PUSH OR PULL
* FORCE IS MEASURED IN
NEWTON'S (N)
Work
Definition:
Work done by a constant force on an object is given by
the product of the force and the distance moved by the
object in the direction of the force.           (TB)

                     F                       F
                         d


           Work = Force x distance moved

                 W=Fxd
NO WORK DONE IF
1.     the body does not move.
2.     the force is perpendicular to the direction of
     movement.
Work




Work done by force = 0
Work
Work is done by a force.
Example 1: Motion in different directions
Powerful cranes
Power
• *Power is the rate of work done or
  rate of energy conversion.
• Formula(Write both formulas)
          P= W               P=E
             t                 t       P = Fv

• The   SI unit = watt (W)
•1   W = 1 J/s
REVIEW
What unit is Force measured in?
What is measured in watts?
What is the equation for Work?
Principle of Conservation of
               Energy
• It states that energy cannot be created or
  destroyed in any process.
• It can be converted from one form to another or
  transferred from one body to another, but the
  total amount remains constant.             (TB)
Worked Example 4
A bricklayer lifts 50 bricks each weighing 15 N
through a vertical height of 1.2 m in 1 min and
places them at rest on a wall. Calculate
(a) the work done




(b) the average power needed.
Energy
   • Energy is the capacity to do work.
   • The SI unit for energy is joule (J).
           • Different forms of Energy


Kinetic     Potential        Heat     Sound         Electrical
Energy      Energy           Energy   Energy        Energy


                                  Nuclear      Chemical
 Gravitational          Elastic
                                  Energy       Energy
Energy Transformation
1. Fossil fuel is used to generate electricity in a
  power station.
                   burn              Turbine                    Generator

    Chemical                 Heat                Kinetic                Electrical
  energy in fuel            energy          energy of turbine            energy


2. Stored water in a dam is used to generate electricity
   in a hydroelectric power station.
  Gravitational               Kinetic              Kinetic            Electrical
    Potential             energy of water      energy of turbine
 energy of water
                                                                       energy
Gravitational Potential Energy
              (GPE)
• GPE is the energy possessed by a body due to
  its height above the ground.

• Formula:
  G.P.E. = mgh (from conversion of WD to GPE)

• where m= mass of body (in kg)
        g = gravitational field strength (in N/kg)
•       h = vertical height above ground (in m)
Factors affecting GPE
Worked Example 1
A brick of mass 2 kg is at a height of 3 m
above the ground. What is the gravitational
potential energy of the brick?
[Take g as 10 N/kg ]
Kinetic Energy (KE)
• Kinetic energy is the energy possessed by a
  body due to its motion.
• Formula:

                     K.E. = ½ m v2


             where      m = mass (in kg)
                        v = speed (in m/s)
Rearranging the KE equation
What is the rearranged version of this equation for
calculating speed?




                       √
                 v =        2KE
                             m
Worked Example 2
A bullet of mass 200 g is travelling at a
speed of 60 m/s. What is the kinetic energy
of the bullet?
Dangerous speeding?
Use the KE = ½mv2 equation to fill in the kinetic energy
values in the table below for two cars each travelling at
two different speeds.

                       1,000 kg        2,000 kg

          20 mph     KE = 40 kJ      KE = 80 kJ

          40 mph     KE = 160 kJ     KE = 320 kJ


What factor – mass or speed – has the greatest effect on
the kinetic energy of a moving object?
Too much kinetic energy
Doubling the mass of a moving object doubles its kinetic
energy, but doubling the speed quadruples its kinetic
energy.
If the speed of a car is slightly above the speed limit, its
kinetic energy is much greater than it would be at the
speed limit. This means that:



 It is more difficult to stop
  the car and there is more
  chance of an accident.
GPE and KE
When a body falls from a height, its GPE is changed into
KE during the fall.
                                                     GPE
As the body gains speed, more and more
of its GPE is changed into KE.
Just before the body strikes the ground, all         GPE+
its GPE is changed into KE.                          K.E.

The total amount of energy at the
beginning and the end is the same.
                                                     K.E.
Worked Example 3
A ball of mass 2 kg is released from rest at the top of a
building of height 12 m.
(a) What is the speed of the ball when it reaches the
    ground?


(b) What happens to its kinetic energy after it has struck
    the ground?
Worked Example 5
Solution
(a) By the principle of conservation of energy,
    K.E. = GPE
    ½ m v2 = mgh
         v = 2gh = 2x10x12
             = 15.5 m/s

(b) The kinetic energy is changed into elastic PE and heat
    and sound.
Note
• Whenever there is friction or impact:
• heat (mostly) and sound are produced.

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7workenergyandpower 110721232912-phpapp01[1]

  • 2. What is Force? *FORCE IS A PUSH OR PULL * FORCE IS MEASURED IN NEWTON'S (N)
  • 3. Work Definition: Work done by a constant force on an object is given by the product of the force and the distance moved by the object in the direction of the force. (TB) F F d Work = Force x distance moved W=Fxd
  • 4. NO WORK DONE IF 1. the body does not move. 2. the force is perpendicular to the direction of movement.
  • 5. Work Work done by force = 0
  • 6. Work Work is done by a force. Example 1: Motion in different directions
  • 8. Power • *Power is the rate of work done or rate of energy conversion. • Formula(Write both formulas) P= W P=E t t P = Fv • The SI unit = watt (W) •1 W = 1 J/s
  • 10. What unit is Force measured in?
  • 11. What is measured in watts?
  • 12. What is the equation for Work?
  • 13. Principle of Conservation of Energy • It states that energy cannot be created or destroyed in any process. • It can be converted from one form to another or transferred from one body to another, but the total amount remains constant. (TB)
  • 14. Worked Example 4 A bricklayer lifts 50 bricks each weighing 15 N through a vertical height of 1.2 m in 1 min and places them at rest on a wall. Calculate (a) the work done (b) the average power needed.
  • 15. Energy • Energy is the capacity to do work. • The SI unit for energy is joule (J). • Different forms of Energy Kinetic Potential Heat Sound Electrical Energy Energy Energy Energy Energy Nuclear Chemical Gravitational Elastic Energy Energy
  • 16. Energy Transformation 1. Fossil fuel is used to generate electricity in a power station. burn Turbine Generator Chemical Heat Kinetic Electrical energy in fuel energy energy of turbine energy 2. Stored water in a dam is used to generate electricity in a hydroelectric power station. Gravitational Kinetic Kinetic Electrical Potential energy of water energy of turbine energy of water energy
  • 17. Gravitational Potential Energy (GPE) • GPE is the energy possessed by a body due to its height above the ground. • Formula: G.P.E. = mgh (from conversion of WD to GPE) • where m= mass of body (in kg) g = gravitational field strength (in N/kg) • h = vertical height above ground (in m)
  • 19. Worked Example 1 A brick of mass 2 kg is at a height of 3 m above the ground. What is the gravitational potential energy of the brick? [Take g as 10 N/kg ]
  • 20. Kinetic Energy (KE) • Kinetic energy is the energy possessed by a body due to its motion. • Formula: K.E. = ½ m v2 where m = mass (in kg) v = speed (in m/s)
  • 21. Rearranging the KE equation What is the rearranged version of this equation for calculating speed? √ v = 2KE m
  • 22. Worked Example 2 A bullet of mass 200 g is travelling at a speed of 60 m/s. What is the kinetic energy of the bullet?
  • 23. Dangerous speeding? Use the KE = ½mv2 equation to fill in the kinetic energy values in the table below for two cars each travelling at two different speeds. 1,000 kg 2,000 kg 20 mph KE = 40 kJ KE = 80 kJ 40 mph KE = 160 kJ KE = 320 kJ What factor – mass or speed – has the greatest effect on the kinetic energy of a moving object?
  • 24. Too much kinetic energy Doubling the mass of a moving object doubles its kinetic energy, but doubling the speed quadruples its kinetic energy. If the speed of a car is slightly above the speed limit, its kinetic energy is much greater than it would be at the speed limit. This means that:  It is more difficult to stop the car and there is more chance of an accident.
  • 25. GPE and KE When a body falls from a height, its GPE is changed into KE during the fall. GPE As the body gains speed, more and more of its GPE is changed into KE. Just before the body strikes the ground, all GPE+ its GPE is changed into KE. K.E. The total amount of energy at the beginning and the end is the same. K.E.
  • 26. Worked Example 3 A ball of mass 2 kg is released from rest at the top of a building of height 12 m. (a) What is the speed of the ball when it reaches the ground? (b) What happens to its kinetic energy after it has struck the ground?
  • 27. Worked Example 5 Solution (a) By the principle of conservation of energy, K.E. = GPE ½ m v2 = mgh v = 2gh = 2x10x12 = 15.5 m/s (b) The kinetic energy is changed into elastic PE and heat and sound.
  • 28. Note • Whenever there is friction or impact: • heat (mostly) and sound are produced.

Notes de l'éditeur

  1. Teacher notes This animation could be used to introduce the concept of power as the rate at which work can be done (or energy transferred).
  2. Teacher notes This activity could be used to introduce the factors affecting the GPE of objects, and the ‘GPE = mgh’ equation.
  3. Teacher notes The conversion rate used here is 1mph = 0.44704m/s, which gives values of: 20mph = 8.9408 40mph = 17.8816
  4. Photo credit: © 2007 Jupiterimages Corporation Teacher notes See the ‘ Momentum ’ presentation information about how cars can be made safer.