Topic  3

 

What happens to movement energy when things speed up or slow down?

 

In the exam you need to be able to:

  • to discuss the transformation of kinetic energy to other forms of energy in particular situations.

You need to know about:

  • When a force causes a body to move through a distance, energy is transferred and work is done.

  • Work done = energy transferred.

  • The amount of work done, force and distance are related by the equation:

work done (J) = force applied (N) × distance moved in direction of force (m)

  • Work done against frictional forces is mainly transformed into heat.

  • Elastic potential is the energy stored in an object when work is done on the object to change its shape.

  • The kinetic energy of a body depends on its mass and its speed.

  • HT Calculate the kinetic energy of a body using the equation:

kinetic energy (joule, J) = ½ × mass (kilogram, kg) × speed2 ((metre/second) 2, (m/s)2)

 

Key Words

Energy

Work

Force

Kinetic Energy

 

 

 

Force, Energy, and Work

Energy enables us to do jobs of work.  When work is done, energy is transferred.  We can say:

Energy transferred = work done

 

Both energy and work are measured in joules (J).  Many people call work energy, but the best way to think about it is that energy is the potential to do work.

 

Question 1  Is there likely to be more work got out than energy transferred?  ANSWER

 

We can relate work and force by the simple equation which you need to learn for the exam:

 

Learn this for the exam:

 

work done (J) = force applied (N) × distance moved in direction of force (m)

 

In Physics code:

W = Fd

 

 

In Triangle form:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Note that the direction of the force and the direction of the movement have to be the same.  If they are at right angles, zero work is done.  To explain this, look at the picture of the crane:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The crane does work by lifting the load vertically.  If the load is hanging and swings from side to side, work is not done.

 

Worked Example

What is the work done by the crane lifting a box of mass 250 kg  from the boat through a vertical distance of 4 metres?

First find the weight of the box (who said 250 kg?).  Remember that weight is a force.

 

Weight = mg = 250 kg × 10 N/kg = 2500 N

 

Work done = Fd = 2500 N × 4 m = 10 000 J

 

A common bear trap is to fail to convert a mass to a weight.

 

Question 2  A box is dragged 5 m across a floor with a force of 20 N.  How much work is done?  How much energy is transferred?  ANSWER

 

 

Work Done and Friction

If you look at the example above, you will see that the work done is NOT against the weight of the box.  The work done is in the direction of the force, horizontally.  This work is done against the force of friction.

 

Friction arises because even the smoothest of surfaces are rough if you look at them under a microscope.

 

 

 

 

 

 

 

 

 

 

Friction can be reduced by lubricating the surfaces with oil.  PTFE and ice have very low friction, so they are very slippery.

 

When work is done against friction, most of the energy is turned to heat.  You can see this very clearly when a plane lands on a runway:

 

 

You can see the smoke coming from the tyres.  The wheels are stationary just before touch-down, so they are dragged along the runway for several metres before they are turning at the landing speed.  The tyres got very hot and smoke.  Plane tyres are thicker than car tyres for this reason.  Even so they have to be periodically replaced.  You may wonder why the wheels are not spun to prevent this heating on landing.    The reason for this is that there would be extra weight for each motor.  Also if one motor failed, the aeroplane would be difficult to control on landing.

 

Question 3  What other kind of energy other than heat do you get when you do work against friction?  ANSWER

 

 

Elastic Potential Energy

You can store up energy by deforming a solid material.  This is called elastic potential energy.  The little boy in the picture below is winding the propeller of his toy plane.

 

 

Energy is stored in the rubber band as elastic potential energy.  When he releases the plane, the energy stored in the rubber band is released as kinetic energy in the propeller, which makes the plane fly.

 

Another example is the elastic energy stored in the wood of this archer's bow.

 

 

 

 

   

 

 

 

 

 

Clockwork motors in many toys use elastic potential energy.

 

 

Question 4  Where is the elastic energy stored in a clockwork motor?  ANSWER

 

 

Kinetic Energy

Movement energy is called kinetic energy (from the Greek "kinein" - to move).  All moving objects have kinetic energy:

All the devices above convert the elastic potential energy into kinetic energy.

 

Working out Kinetic Energy (HT only)

The equation for kinetic energy needs to be learned for the exam:

 

Learn this for the exam:

 

kinetic energy (joule, J) = ½ × mass (kilogram, kg) × speed2 ((metre/second) 2, m2/s2)

 

In Physics Code:

 

Ek = 1/2 mv2

 

Worked Example

What is the kinetic energy of a runner, mass 70 kg, running at 8 m/s?

Formula first:

Ek = 1/2 mv2

 

Ek = 1/2 × 70 kg × (8 m/s)2 = 1/2 × 70 × 64 = 2240 J

 

Question 5  A model racing car has a mass of 0.1 kg and kinetic energy of 5 J.  How fast is it travelling?  ANSWER

 

Summary

  • Work done = force × distance moved in the direction of the force

  • Work done against friction is turned mostly into heat.

  • Elastic potential energy is stored when materials are deformed.

  • Elastic Energy is converted into kinetic energy.

  • Ek = 1/2 mv2

 

Now try the Topic Quiz

 

Home        Unit Index