sace stage 1 conceptual physics energy. introduction energy underlies all science. relatively new...

SACE Stage 1 Conceptual Physics

Energy

Introduction Energy underlies all science. Relatively new concept (1850’s) Can’t observe energy directly, can only

observe energy when it changes from one place to another or one form to another.

Work As Impulse is Force x Time,

Work = Force x Distance

Work We do work when we lift against the Earth’s

gravity. The heavier the load or the longer we move

the load, the more Work is done.

Work 2 things occur are involved when ever work

is done, The application of a force The movement of something by that force

Work The unit for work is Joules (J).

Fd W

DistanceForceWork

Work Example – How much energy is used in

lifting a 5kg mass vertically upwards 2 metres?

Work Example – How much energy is used in lifting a

5kg mass vertically upwards 2 metres?

JW

W

damW

FdW

100

2105

Power Definition of work doesn’t describe how

long it takes to do the work. Why do you feel more tired when you run

up the stairs rather than walking? POWER, the rate at which you do work can

help answer this question.

Power Power = The rate at which you do work.

interval time

donework power

The units for power are Joules per Second (J/s) or the Watt (W).

Power A high powered engine does work more

rapidly. A car engine with twice the power of another doesn’t necessarily produce twice as much work or go twice as fast as the less powerful engine.

Twice the power means that it will do the same amount of work in half the time.

Mechanical Energy Mechanical Energy – the energy due to the

position or movement of something. Animation - Physics Applets/ph14e/pendulum.htm

Potential Energy Objects can store energy by virtue of its

position. The energy that is stored and held in

readiness is called potential energy (PE). In the stored state it has the potential for

doing work.

Potential Energy Work is required to lift objects against the

Earths gravitational field. The potential energy due to its elevated position is called gravitational potential energy.

The amount of gravitational potential energy in an object is equal to the work done in raising that object against the earths gravitational field.

Potential Energy The work done equals the gain in potential

energy.

mghPE

height weight Energy Potential Grav.

Note that the height, h, is the distance above some reference point. Potential energy is relative to this point.

Potential Energy All of these rocks contain the same amount

of potential energy. The work done in lifting the boulder is the same in each case.

Potential Energy Q – How much work is done on a 100N

boulder that you carry horizontally across a 10m room?


boulder that you carry horizontally across a 10m room?

A – No work has been done as the boulder has not changed its vertical position.


boulder when you lift it 1m?

Potential Energy Q – How much work is done on a 100N boulder

when you lift it 1m? A –

JW

mNW

damW

dFWork

100

1100

Potential Energy Q – What power is expended if you lift it this

distance in 1s? A -

WP

JsP

s

JP

time

WorkPower

100

100

1

100

1

Potential Energy Q – What is its gravitational potential energy in

the lifted position? A – Gravitational Potential Energy is equivalent to

the work done in getting their, therefore it has 100J of gravitational potential energy.

Kinetic Energy The energy of motion is called Kinetic Energy

(KE).

2

21

2

2

1 Energy Kinetic

mvKE

velocitymass

Kinetic Energy When you throw a ball, you do work on it to

give it speed when it leaves your hand. The moving ball can then hit something and push it, doing work on what it hits.

Kinetic Energy The Kinetic Energy on that object is equal to the

work done on it to make it move.

22

1dF

GainedEnergy KineticWorkdone

mv

Kinetic Energy

22

1dF

GainedEnergy KineticWorkdone

mv

Notice the speed is squared. If the speed of an object is doubled then the kinetic energy is

quadrupled.

Kinetic Energy

Conservation of Energy Too difficult to describe energy in terms of

what it is but better describe how it transforms.

Conservation of Energy

Definition – Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes.

Conservation of Energy Consider a pendulum, when the “bob” is at its

highest, all the energy is in the form of potential energy, when it is moving at its lowest point, all potential energy is now kinetic energy. When the “bob” swings to the other side the energy has turned back into potential energy.

Conservation of Energy

Conservation of Energy When the lady in distress leaps

from the building , note that the sum of her PE and KE remains constant at successive positions ¼, ½, ¾ and all the way down.

Machines A device for multiplying forces or simply

changing the direction of forces. Underlying every machine is the concept of

Conservation of Energy.

Machines Consider one of the simplest machines, the

lever. We do work on one end of the lever and the

lever does work on a load at the other end.

Machines The lever

Work input = Work output

(force x distance)input = (force x distance)output

Machines

The output force (80N) is eight times the input force (10N), while the output distance (1/8m) is one eighth the input distance (1m).

ph14e/lever.htm

Machines Three ways of setting up a lever.

Depends on the position of the fulcrum.

Machines A pulley system is a kind of lever that can

be used to change the direction of the force.

Pulleys can multiply the force as well.

Machines When combined with another

pulley, both can change the direction and multiply the force.

Input Force x = output force x Input distance output distance.

ph14e/pulleysystem.htm

Machines Efficiency can be expressed as the ratio of useful

work output to total work input.

An incline plane is a machine. Sliding a load up an incline requires less force than lifting it vertically.

output work total

input work usefulefficiency

Machines

Pushing the block of ice 5 times farther up the incline then the vertical distance lifted requires a force of only 1/5 its weight. Whether pushed up the plane or simply lifted, it gains the same amount of PE.

Machines

51

5advantage mechanical ltheoretica

advantage mechanical ltheoretica

advantage mechanical actualefficiency

ph14e/inclplane.htm

Machines Q - Child on a sled (total weight 500N) is

pulled up a 10m slope that elevates her a vertical distance of 1m.

What is the theoretical mechanical advantage of the slope?



The ideal or theoretical mechanical advantage is (input distance / output distance) = 10m/1m = 10.



If the slope is without friction, and she is pulled up the slope at constant speed, what will be the tension in the rope?



50N. With no friction, ideal mechanical advantage and actual mechanical advantage would be the same – 10. So the input force, the rope tension will be 1/10 the output force, her 500N weight.



Considering the practical case where friction is present, suppose the tension in the rope were in fact 100N. Then what would be the actual mechanical advantage of the slope? The efficiency?

Machines The actual mechanical advantage would be

(output force / input force) = 500N/100N=5. The efficiency would then be 0.5 or 50%, since (actual mechanical advantage) / (theoretical mechanical advantage) = 5/10 = 0.5. The value for efficiency is also obtained from the ratio (useful work output) / (useful work input).

Summary When a constant force moves an object in

the direction of the force, the work done equals the product of the force and the distance moved. Power is the rate at which work is done.

Summary The energy of an object enables it to do

work. Mechanical energy is due to the position of

something (potential energy) or the movement of something (kinetic energy)

Summary The law of conservation of energy: Energy

cannot be created or destroyed. Energy can change from one form to another.

Summary A machine is a device for multiplying force

or changing the direction of the force. Levers, pulleys and incline planes are simple

machines. Normally the useful work output of a machine is

less than the total work output.

sace stage 1 conceptual physics energy. introduction energy underlies all science. relatively new...

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