GPE and KE

GPE and KE

How can we calculate energy

08012016 copy cgrahamphysicscom 2016

Starter Multiple-choice quiz

GPE LO State the GPE depends on mass and height above ground Calculate changes in GPE

bull When you lift an object up energy is transferred from your muscles in to gravitational potential energy of the object

Gravitational potential energy (GPE) is energy stored in an object because of its position in the earths gravitational field

bull Which books have GPE

bull Which book has the most GPE

bull Which book has the least GPE

bull What would happen to the GPE of book C if you moved it to the higher shelf

bull What would

happen to the GPE of book B if you moved it to the lower shelf

bull If both flower pots were to fall out the window which one is more likely to break Why

The higher up an object is the greater its GPE The larger the distance something falls through the greater the amount of GPE the object loses as it falls As most of this GPE gets changed into kinetic energy the higher up the object starts from the faster it will be falling when it hits the ground So a change in gravitational potential energy depends on the height an object moves through

To lift an apple 1m would be easier than to life the apple tree 1m Why

Well the tree has more mass Therefore it would need more GPE to reach the same height So a change in gravitational potential energy also depends on the mass of the object that is changing height

Put the pictures in order starting with the one with the most GPE

bull To move book C work must be done (We need to put a force in to move it) Work done depends on

-- how far the object is moved

-- and how much it weighs 08012016 copy cgrahamphysicscom 2016

What do you think GPE would depend on

bull The amount of gravitational potential energy an object on Earth has depends on its

bull Mass

bull Height above the ground

bull So change in GPE =

bull mass x change in height x gravitational field strength

bull What are the units

bull So change in GPE (joules)

bull mass (kg)

bull change in height (m)

bull gravitational field strength (m1199042)

bull Calculate change in GPE when a 1000kg aeroplane takes off up to a height of 500m

So change in GPE = mass x change in height x gravitational field strength

Gravitational field strength on earth= 10NKg =1000kg x 500m x 10Nkg =5000000j

Gravitational potential energy

Ep = mgh

Nkg or ms2

Example

A dog of mass 12 kg falls from an aeroplane at a height of 34 km How much gravitational energy does the dog have as it leaves the aeroplane

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Just before the dog hits the ground what has this GPE turned

Kinetic energy

Where is this useful bull Many theme park rides use the transfer of

gravitational potential energy to kinetic energy and kinetic energy to gravitational potential energy

GPE increases

GPE decreases

Kinetic energy increases

Energy Transfer

bull Schiffschaukel - YouTube [720p]mp4

Plenary GPE calculations

KINETIC ENERGY Second Part Lesson 5

Explain what kinetic energy of an object depends on (C)

Calculate kinetic energy (B)

Who has the most kinetic energy Rita or the cat Write down how you know

Feeling energetic

bull Kinetic energy is energy an object has due to motion It depends on two things

bull Any ideas

bull Kinetic energy tells us how much movement energy something has

bull It doesnt just depend on how fast something is moving it also depends on mass

bull If a car and a lorry are both travelling at the same speed the lorry will do much more damage if it hits something than if the car does

bull The lorry has more kinetic energy even though they are both travelling at the same speed 08012016 copy cgrahamphysicscom 2016

bull The objects mass

bull The objects speed

bull Kinetic energy = frac12 x mass x speed2

bull Units of KE= joules

bull Mass= kg

bull Speed= ms

bull A car with a mass of 500 kg is moving at a speed of 12 ms How much kinetic energy does it have

bull frac12 x 500 x (122) = 36000 J

Sometimes it is necessary to rearrange the kinetic energy equation in order to calculate the mass or the velocity of a moving object

KE = frac12mv2

What are the rearranged versions of this equation for calculating mass and velocity

m = 2KE

v2 v =

Rearranging the KE equation

A lorry has a mass of 20000 kg If its kinetic energy is 225 mJ at what velocity is it travelling

Calculating velocity question

KE = frac12 x mass x velocity2

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull Assuming that all the gravitational potential energy of a falling object is transferred to kinetic energy

bull GPE = KE

GPE = KE

Mass x gravitational field strength x height

frac12 x Mass x speed2

GPE = KE

gravitational field strength x height

frac12 x speed2

G x H = frac12 V2 08012016 copy cgrahamphysicscom 2016

G x H = frac12 V2

Can be rearranged

h = v2

For example how high must an object be dropped so that is reaches 30 ms (g = 10 Nkg)

height = 302

2 times 10

= 90020

= 45 m

KE mass and velocity calculations

bull An object is elastic if- it regains its shape after being stretched or squashed

Elastic potential energy is stored in the object that is being stretched or squashed What can this be transferred in to

KINETIC ENERGY 08012016 copy cgrahamphysicscom 2016

conservation of energy ndash The law that states that energy cannot

be created or destroyed just transferred into different forms

energy transfer ndash A process in which one form of energy is transferred

into another form

gravitational field strength ndash The strength of gravity in a

particular location

gravitational potential ndash The energy an object has because of its

position in a gravitational field

joule ndash The unit of energy

kinetic ndash The energy an object has because it is moving

velocity ndash A measure of the speed and direction of a moving object

Glossary

Plenary Anagrams

Multiple-choice quiz

Starter Multiple-choice quiz

bull What would

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull What would

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull What would

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull What would

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull What would

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull mass (kg)

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Ep = mgh

Nkg or ms2

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Example

(help)

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Example

On earth g = 10 ms2

Height = 34 km = 3400 m

Mass of dog = 12 kg

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Example

GPE of dog = mgh = 12 x 10 x 3400 = 408 000 J

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Kinetic energy

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE increases

GPE decreases

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Energy Transfer

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

Feeling energetic

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Any ideas

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull Mass= kg

bull Speed= ms

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull frac12 x 500 x (122) = 36000 J

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

KE = frac12mv2

m = 2KE

v2 v =

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

= 15 ms

velocity = 2KE mass

= 2 x 2250000

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

bull GPE = KE

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

GPE = KE

frac12 x speed2

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

G x H = frac12 V2

Can be rearranged

h = v2

height = 302

2 times 10

= 90020

= 45 m

into another form

particular location

Glossary

Plenary Anagrams

into another form

particular location

Glossary

Plenary Anagrams

into another form

particular location

Glossary

Plenary Anagrams

into another form

particular location

Glossary

Plenary Anagrams

into another form

particular location

Glossary

Plenary Anagrams

GPE and KE - WordPress.com · 2016. 5. 19. · greater its GPE. The larger the distance something...

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Transcript of GPE and KE - WordPress.com · 2016. 5. 19. · greater its GPE. The larger the distance something...

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