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Difference between revisions of "Work Done"

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==Key Stage 3==
 
==Key Stage 3==
 
===Meaning===
 
===Meaning===
{{Infobox physical quantity
 
| bgcolour={pink}
 
| name        = Work
 
| image      = [[File:Baseball pitching motion 2004.jpg|250px]]
 
| caption    = A [[baseball]] [[pitcher]] does positive work on the ball by applying a force to it over the distance it moves while in his grip.
 
| basequantities = 1 [[kilogram|kg]]⋅[[metre|m]]<sup>2</sup>⋅[[second|s]]<sup>−2</sup>
 
| unit        = [[joule]] (J)
 
| otherunits  = [[Foot-pound (energy)|Foot-pound]], [[Erg]]
 
| symbols    = ''W''
 
| dimension  =  '''M''' '''L'''<sup>2</sup> '''T'''<sup>−2</sup>
 
| derivations = ''W'' = '''[[force (physics)|F]]''' ⋅ '''[[Displacement (vector)|s]]''' <br />
 
''W'' = ''[[torque|τ]]'' ''[[angle|θ]]''
 
}}
 
 
[[Work Done]] is the amount of [[Energy Transfer|energy transferred]] by the action of a [[force]].
 
[[Work Done]] is the amount of [[Energy Transfer|energy transferred]] by the action of a [[force]].
  
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:<math> W = 48J</math>
 
:<math> W = 48J</math>
 
: 2. The brakes on a car apply a force of 10,000N. The car travels a distance of 15m braking. Calculate the work done by the brakes.
 
: 2. The brakes on a car apply a force of 10,000N. The car travels a distance of 15m braking. Calculate the work done by the brakes.
 
+
: Force = 10,000N
 +
: Distance moved in the direction of the force = 15m
 +
:<math> W = Fd</math>
 +
:<math> W = 10,000 \times 15</math>
 +
:<math> W = 15,000J</math>
 
: 3. A person carries a 20N box along a horizontal path  of 20m.
 
: 3. A person carries a 20N box along a horizontal path  of 20m.
 +
: Force = 40N
 +
: Distance moved in the direction of the force = 0m
 +
:<math> W = Fd</math>
 +
:<math> W = 20 \times 0</math>
 +
:<math> W = 0J</math>
 +
No work has been done because the movement is not in the direction of the force. The weight acts downwards but the movement was horizontal.

Revision as of 10:18, 9 October 2018

Key Stage 3

Meaning

Work Done is the amount of energy transferred by the action of a force.

About Work Done

Work Done is measured in Joules.
Work Done can only be calculated for objects moving in the direction of the force.

Equation

\[ Work Done = Force \times Distance moved in the direction of the force\] \[ W = F \times d\] \[ W = Fd\]

Work done is written with a capital W. Force is written with a capital F. Distance is written with a lower case d.

Example Calculations

1. A person lifts a 40N box by a height of 1.2m. Calculate the work done by the person against gravity.
Force = 40N
Distance moved in the direction of the force = 1.2m

\[ W = Fd\] \[ W = 40 \times 1.2\] \[ W = 48J\]

2. The brakes on a car apply a force of 10,000N. The car travels a distance of 15m braking. Calculate the work done by the brakes.
Force = 10,000N
Distance moved in the direction of the force = 15m

\[ W = Fd\] \[ W = 10,000 \times 15\] \[ W = 15,000J\]

3. A person carries a 20N box along a horizontal path of 20m.
Force = 40N
Distance moved in the direction of the force = 0m

\[ W = Fd\] \[ W = 20 \times 0\] \[ W = 0J\] No work has been done because the movement is not in the direction of the force. The weight acts downwards but the movement was horizontal.