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Physics for Secondary Schools


           The graph of tension against extension is   part between points B and C, the spring
           shown in Figure 6.4.                       undergoes plastic  deformation,  whereby
                                                      it remains deformed even after the load
                                                      is removed. The spring will continue to
                                                      increase in length until a certain maximum
              6
                                              C       tension is reached. Beyond this tension,
                                 A
             Tension (N)  4 3                         the spring will fi nally break. In the elastic
              5
                                    B
                                                      region, the ratio of the applied force (F)
                                                      to the distance stretched (e) is called the

              2                                       elastic force constant, k. Hence,  k =  F  .
              1                                       The SI unit of k is N/m.             e

              O    1   2   3   4   5  6   7   8
                        Extension (cm)                              Exercise 6.1

                                                        1. A force of 40 N is applied to the spring
            Figure 6.4: Relationship between tension and
                      extension of a stretched spring      with a spring constant of 100 N/m.
                                                           What is the resulting displacement
           Certain observations can be made from the       of the spring?
           graph in Figure 6.4. For the portion between   2.  A rubber band has an original length
           O and  A, the tension (force) is directly       of 20 cm and is stretched to a length
           proportional to the extension of the spring.    of 25 cm. What is the percentage
           This is in accordance with Hooke’s law,         change in length of the rubber band?
           which explains the relationship between
           the force applied on an elastic material and   3.  A spring has a spring constant of
           the extension produced.                         80 N/m. If the spring is compressed
                                                           by 30 cm, what is the resulting force
                                                           applied to the spring?
            Hooke’s law  states  that:  “Provided
            the elastic limit is not exceeded, the
            extension is directly proportional to the   Applications of elasticity in daily life
            force applied”.                           Elasticity  has a variety  of applications
                                                      at  home,  in  transport,  and industry.  At
           The elastic  limit  is the maximum  point   home, the  applications  of elasticity  can
           beyond which the material cannot return    be observed in:
           to its original shape when the deformation
           force is removed. If the elastic limit  is   (a) rubber gaskets that seal the refrigerator
                                                           door;
           exceeded the material experiences plastic
           deformation.  From the  graph, in Figure     (b) clothing;
           6.4, point B is the elastic limit and the    (c) springs in furnitures;

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                                                                         Student’s Book Form One



     Physics Form 1 Final.indd   124                                                        16/10/2024   20:57
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