ENERGY, WORK AND
 SIMPLE MACHINES
     CHAPTER 10
ENERGY AND WORK

• How do we define the relationship between work
  and energy?

• How can we calculate work done?

• How do we calculate power used?
WORK EQUATION

•
WORK EQUATION

•
WORK EQUATION

• Right side is Fd

• F = force (in Newtons)

• d = distance (in meters)

• We define:

• W = Fd

• Work = forces times distance
WORK ENERGY THEOREM

•
EXAMPLE

• A 105 g hockey puck
  is sliding across the
  ice. A player exerts a
  constant 4.50 newton
  force over a distance
  of 0.150 m. How
  much work does the
  player do on the
  puck? What is the
  change in energy?
LIFTING A BOOK

• When is the work positive?

• When is the work negative?

• When is the work zero?
WORK AGAINST GRAVITY

• W = Fd

• The work of lifting something is equal to the weight
  of the object times the distance lifted

• Weight =

• So W =
WORK

• Since work equals the change in KE, the unit is the
  same

• Work is measured in joules

• One joule happens when a force of 1 N acts for 1 m

• An apple is approximately a newton, so lifting an
  apple 1 meter is about 1 Joule of work
WORK

• What if our force is not applied in a straight line?




• Will it be as effective?

• How do we account for this?
WORK

• W = Fdcosɵ

• ɵ is between the
  force and the
  direction of
  displacement

• If he pushes the car
  10.0 m, how much
  work did the man
  do?
WHAT TO INCLUDE IN WORK

• Which direction do
  the normal force
  and gravity point?

• ɵ is …

• What about
  friction?
EXAMPLE

• A sailor pulls a boat
  a distance of 30.0 m
  along a dock using
  a rope that makes
  a 25.0° angle with
  the horizontal. How
  much work does
  the sailor do on the
  boat if he exerts a
  force of 255 N on
  the rope?
TRIG REFRESHER

• SOH-CAH-TOA
WORK AGAINST GRAVITY

• Pushing up a ramp,
  walking up stairs

• What do we use for
  d?
HOMEWORK

• Page 287, # 1 – 3
• Page 291, # 4 - 8
GRAPHICAL METHOD

• Area under force vs
  displacement curve
  is work

• How much work?
GRAPHICAL METHOD

• Force exerted by a
  spring

• Work =

• Area of a
  trapezoid=
• ½ h (b1 + b2)
MULTIPLE FORCES

• If several forces are exerted on a system, calculate
  the work done by each force, then add the results
POWER

•
POWER

• Three student going
  up stairs

• If they started at the
  same time…

• How does their work
  compare?

• How does their power
  compare?
POWER

• On a ten-speed
  bike, there is a
  combination of
  force and speed
  that will produce
  the maximum
  power
EXAMPLE

• An electric motor lifts an elevator 9.00 m in 15.0 s by
  exerting an upward force of 1.20 x 104 N. What
  power does the motor produce in kW?
HOMEWORK

• Page 264, # 9 – 14
• Page 265, # 15 - 21

General/Notes 10.1

  • 1.
    ENERGY, WORK AND SIMPLE MACHINES CHAPTER 10
  • 2.
    ENERGY AND WORK •How do we define the relationship between work and energy? • How can we calculate work done? • How do we calculate power used?
  • 3.
  • 4.
  • 5.
    WORK EQUATION • Rightside is Fd • F = force (in Newtons) • d = distance (in meters) • We define: • W = Fd • Work = forces times distance
  • 6.
  • 7.
    EXAMPLE • A 105g hockey puck is sliding across the ice. A player exerts a constant 4.50 newton force over a distance of 0.150 m. How much work does the player do on the puck? What is the change in energy?
  • 8.
    LIFTING A BOOK •When is the work positive? • When is the work negative? • When is the work zero?
  • 9.
    WORK AGAINST GRAVITY •W = Fd • The work of lifting something is equal to the weight of the object times the distance lifted • Weight = • So W =
  • 10.
    WORK • Since workequals the change in KE, the unit is the same • Work is measured in joules • One joule happens when a force of 1 N acts for 1 m • An apple is approximately a newton, so lifting an apple 1 meter is about 1 Joule of work
  • 11.
    WORK • What ifour force is not applied in a straight line? • Will it be as effective? • How do we account for this?
  • 12.
    WORK • W =Fdcosɵ • ɵ is between the force and the direction of displacement • If he pushes the car 10.0 m, how much work did the man do?
  • 13.
    WHAT TO INCLUDEIN WORK • Which direction do the normal force and gravity point? • ɵ is … • What about friction?
  • 14.
    EXAMPLE • A sailorpulls a boat a distance of 30.0 m along a dock using a rope that makes a 25.0° angle with the horizontal. How much work does the sailor do on the boat if he exerts a force of 255 N on the rope?
  • 15.
  • 16.
    WORK AGAINST GRAVITY •Pushing up a ramp, walking up stairs • What do we use for d?
  • 17.
    HOMEWORK • Page 287,# 1 – 3 • Page 291, # 4 - 8
  • 18.
    GRAPHICAL METHOD • Areaunder force vs displacement curve is work • How much work?
  • 19.
    GRAPHICAL METHOD • Forceexerted by a spring • Work = • Area of a trapezoid= • ½ h (b1 + b2)
  • 20.
    MULTIPLE FORCES • Ifseveral forces are exerted on a system, calculate the work done by each force, then add the results
  • 21.
  • 22.
    POWER • Three studentgoing up stairs • If they started at the same time… • How does their work compare? • How does their power compare?
  • 23.
    POWER • On aten-speed bike, there is a combination of force and speed that will produce the maximum power
  • 24.
    EXAMPLE • An electricmotor lifts an elevator 9.00 m in 15.0 s by exerting an upward force of 1.20 x 104 N. What power does the motor produce in kW?
  • 25.
    HOMEWORK • Page 264,# 9 – 14 • Page 265, # 15 - 21