Page 114 - Physics
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Physics for Secondary Schools


                         Exercise 5.2                      (f)  Calculate the density of the

            Whenever necessary use acceleration                object.
            due to gravity g = 10 N/kg.                 3.  An object weighs 60 N when in air

             1.  What volume of iron of density            and 40 N when immersed in water.
                7.8 g/cm  must be attached to wood         What is its:
                        3
                whose mass is 100 g and density of         (a)  Relative density?
                0.5 g/cm  if both iron and wood have       (b) Density?
                        3
                to fl oat under the water surface?       4.  A piece of sealing wax of helium
             2.  An object is hung from a spring           weighs 0.27 N in air and 0.12 N
                balance. If it weighs 40 N in air and      when immersed in water. Deduce:
                30 N when immersed in water:               (a)  its apparent weight in a liquid
                (a)  Calculate the upthrust on the             of density 800 kg/m ; and
                                                                                   3
                    object.                                (b)  its relative density.
                (b)  Determine the weight of the        5.  A metal cube of side 2 cm weigh
                    displaced water.                       0.56 N in air. Determine:
                (c)  What is the mass of the displaced
                    water?                                 (a)  its  apparent  weights  when
                (d)  What is the volume of the                 immersed in the methylated
                                                                                        3
                    displaced water?                           spirit of density 0.585 g/cm ; and
                (e)  Calculate the relative density of     (b)  the density of the metal of which
                    the object.                                it is made.


           Law of fl oatation
           The  previous  sections  have  established  that  a  body  can  fl oat  on  a  fl uid  if  certain

           conditions are satisfi ed. This leads us to the law of fl oatation which states that:


             ‘A fl oating body displaces its own weight of the fl uid in which it fl oats’. Activity 5.7
             demonstrates the relationship between upthrust and fl oatation.



                Acti vity 5.7

            Aim:          To investigate the relationship between upthrust and fl oatation.
            Material:   Piece of wood, transparent beaker, water, spring balance, digital
                          balance, weights
            Procedure
             1.  Suspend a piece of wood from a hook of a spring balance shown in Figure 5.8 (a).
                Record its weight,
             2.  Weigh a dry and empty beaker shown in Figure 5.8 (b).


             108
                                                                         Student’s Book Form One



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