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Work, Energy, and Simple Machines

Track quiz

The ten rules first. Then the quiz.

Work, Energy, and Simple Machines — the rules to answer with
IdeaThe rule
WorkWork = force × distance moved along the force. If there is no movement, the work is zero. Work is negative when the force points against the movement.
Two kindsWith no friction, work on an object equals its energy gain. Moving objects have kinetic energy, ½ m v². Raised objects have potential energy, m g h. So do stretched springs and bands.
Energy changes formEnergy changes from one form to another. It is not created or destroyed. If only gravity acts, PE + KE stays the same.
FrictionFriction and air resistance turn mechanical energy mostly into heat. The mechanical energy falls. The total energy does not.
PowerPower is the rate of doing work. Power = work ÷ time. The unit is the watt.
A machineA simple machine changes the size or direction of the force. It does not reduce the work. Advantage = load ÷ effort.
Three machinesA fixed pulley only changes the direction of the force. A lever balances when effort × effort arm = load × load arm. With no friction, a ramp's advantage is its length ÷ its height.
Nothing is freeA machine cannot give out more work than it takes in. Friction turns some of the work into heat.
Stored energyA stretched or squeezed springy object stores potential energy. Held still, it has no kinetic energy.
Work from a graphWork is the area under the force–displacement graph. For a steady force, the area is force × displacement.

You push hard on a parked truck. It does not move. What work do you do on it?

  • Positive work
  • Negative work
  • No work

A 15 N force moves a cart 6 m along the force. How much work is done?

  • 90 J
  • 21 J
  • 2.5 J

A brake pad grips a spinning wheel. What is the work of the brake force?

  • Positive
  • Negative
  • Zero

The speed of a cycle halves. Its kinetic energy becomes…

  • Half as much
  • The same
  • A quarter as much

A 3 kg brick is 4 m up. Take g = 10. What is its PE?

  • 120 J
  • 12 J
  • 40 J

A ball falls. Its PE drops by 30 J. Only gravity acts. What happens to its KE?

  • It stays the same
  • It falls by 30 J
  • It rises by 30 J

A pendulum swings lower and stops. Where did its energy go?

  • It was destroyed
  • Mostly into heat
  • Into more height

A motor does 900 J of work in 15 s. What is its power?

  • 60 W
  • 13 500 W
  • 885 W

A ramp is 10 m long and 2 m high. Ignore friction. What is its advantage?

  • 20
  • 8
  • 5

A band is pulled back and held still. Which energy does it have?

  • Kinetic energy
  • Potential energy
  • Both kinetic and potential energy

What does the area under a force–displacement graph give?

  • The work done
  • The power
  • The force

This is Chapter 7 once more, Exploration — Work, Energy, and Simple Machines.

Next comes Journey Inside the Atom. What is matter made of?

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This track

  1. 0 Start here
  2. 1 When a push does work
  3. 2 Two kinds of energy
  4. 3 Energy changes form
  5. 4 Where it seems to vanish
  6. 5 Power
  7. 6 A machine trades force for distance
  8. 7 Three machines
  9. 8 Nothing is free
  10. 9 Energy stored in a stretch
  11. 10 Work from a graph
  12. 11 Checkpoint: stored energy and graphs
  13. 12 The big picture
  14. 13 Track quiz

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