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A spring has a spring constant of - 400 N.m - 1 . By how much will it stretch if a load of 50 N is applied to it?

  1. F = - kx 50 = - ( - 400 ) x
    x = 50 400 = 0 , 125 m = 12 , 5 cm
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Deviation from hooke's law

We know that if you have a small spring and you pull it apart too much it stops 'working'. It bends out of shape and loses its springiness. When this happens, Hooke's Law no longer applies, the spring's behaviour deviates from Hooke's Law.

Depending on what type of material we are dealing with, the manner in which it deviates from Hooke's Law is different. We give classify materials by this deviation. The following graphs show the relationship between force and extension for different materials and they all deviate from Hooke's Law. Remember that a straight line show proportionality so as soon as the graph is no longer a straight line, Hooke's Law no longer applies.

Brittle material

A hard, brittle substance

This graph shows the relationship between force and extension for a brittle, but strong material. Note that there is very little extension for a large force but then the material suddenly fractures. Brittleness is the property of a material that makes it break easily without bending.

Have you ever dropped something made of glass and seen it shatter? Glass does this because it is brittle.

Plastic material

A plastic material's response to an applied force.

Here the graph shows the relationship between force and extension for a plastic material. The material extends under a small force but it does not fracture easily, and it does not return to its original length when the force is removed.

Ductile material

A ductile substance.

In this graph the relationship between force and extension is for a material that is ductile. The material shows plastic behaviour over a range of forces before the material finally fractures. Ductility is the ability of a material to be stretched into a new shape without breaking. Ductility is one of the characteristic properties of metals.

A good example of this is aluminium, many things are made of aluminium. Aluminium is used for making everything from cooldrink cans to aeroplane parts and even engine blocks for cars. Think about squashing and bending a cooldrink can.

Brittleness is the opposite of ductility.

When a material reaches a point where Hooke's Law is no longer valid, we say it has reached its limit of proportionality . After this point, the material will not return to its original shape after the force has been removed. We say it has reached its elastic limit .

Elastic limit

The elastic limit is the point beyond which permanent deformation takes place.

Limit of proportionality

The limit of proportionality is the point beyond which Hooke's Law is no longer obeyed.

Hooke's law and deformation of materials

  1. What causes deformation?
  2. Describe Hooke's Law in words and mathematically.
  3. List similarities and differences between ductile, brittle and plastic (polymeric) materials, with specific reference to their force-extension graphs.
  4. Describe what is meant by the elastic limit .
  5. Describe what is meant by the limit of proportionality .
  6. A spring of length 15 cm stretches to 27 cm when a load of 0,4 N is applied to it.
    1. Calculate the spring constant for the spring.
    2. Determine the extension of the spring if a load of 0,35 N is applied to it.
  7. A spring has a spring constant of - 200  N.m - 1 . By how much will it stretch if a load of 25 N is applied to it?
  8. A spring of length 20 cm stretches to 24 cm when a load of 0,6 N is applied to it.
    1. Calculate the spring constant for the spring.
    2. Determine the extension of the spring if a load of 0,8 N is applied to it.

Questions & Answers

Do polymers form restrictedly only if compound is saturated, only?
milani Reply
what is a free fall?
Beyanca Reply
is when The Only Force acting On an Object is Gravitational Force
Thats right
then Why ask when you Know the answer?
She's just helping those who forgot it...bro
guys I need help on Getting ready for a last minute test
Kenelioe Reply
what help you need
we'll I'm in grade 12 so we doing this topic about upac thing
on What?
the organic molecule section
you should also look at structural isomers. Its crucial that they might add that one. also try and write down the structural formula of all the given compounds on the table
hi guys i can explain everything in terms of physics and chemistry
Neil Reply
guys 2mrrow I'm writing a test in chemistry I need help
Hi guys. Can anyone please tell me what a functional group is?
a functional group depends on how many bonds there are between carbon atoms, if there are single bonds all the way it's an alkane, if there is a presence of at least one double bond it's a Alkene and if there's at least one triple bond it's an alkyne.
which quantity is measured in Watt?
Saara Reply
explain for me absai
is Power Not Work work is Measured In Joules it has Energy
what is galvanic cell ?
Oratile Reply
is an electrochemical cell that derives electrical energy from spontaneous redox reactions taking place within the cell.
how to understand alkane names
Sboniso Reply
suffix Ane in the IUPAC NAMING
elaborate a little more plz
Alkanes are Saturated Meaning they don't have Multiple Bonds between Carbon Atoms and When you are Naming THEM THEY MUST END WITH (-ANE ) GET ME?
What are hydrocarbons
Phelo Reply
are organic Compounds with only Carbon and Hydrogen Atoms
whats the difference between aldehydes and ketones
Angel Reply
definition of chain parent
Lea Reply
what is wave?
Agness Reply
when butane burns in an excess of oxygen ,the products are
CO2 and H2O
Carbon dioxide and Water...
what is hydrocarbon
Ntswaki Reply
Hydrocarbon is a compostion of mainy carbon and hydrogen
hydrocarbon compound made up of carbon and hydrogen only
25 element of physics
musah Reply
an object will remain at rest or move at a constant velocity unless acted upon a net force
Lebogang Reply
thank you
law of inertia
an object resisting the change in velocity.
newton first law of motion
An object will remain at rest, unless an unbalanced force acts on it.
or uniform motion
What is a molecule
Thabiso Reply
a molecule is a simplest structure unite of an elements
thank you
Plz remind me the 1st Newton's law

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Source:  OpenStax, Siyavula textbooks: grade 12 physical science. OpenStax CNX. Aug 03, 2011 Download for free at http://cnx.org/content/col11244/1.2
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