Page 96 - Physics
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Physics for Secondary Schools


                         Exercise 4.1                 Applications of the concept of density
                                                      and relative density in everyday life
             Answer all questions
             1.  (a) What is the volume of 2 400 kg   Density and relative density has many
                                                      applications in everyday life, including the
                    of gasoline (petrol) if its       following:
                    density is 0.7 g/cm ?               1.  It aids in the identification of
                                      3
                (b) Use the table below to answer          gemstones such as gold and diamond.
                    the questions that follow.          2.  Density is used by geologists and
                                                           mineralogists to determine the
             Item  Mass  Length  Width  Height             mineral content of a rock or other
                   (g)    (cm)     (cm)    (cm)            sample.

               A    480      5       4       4          3.  Density is considered during the
                                                           selection of building materials.
               B    800     10       5       2          4.  Density is also considered during

               C    360     10       4       3             the design of swimming and diving
                                                           equipment.
               D    600      5       4       2          5.  Density is considered during design

                                                           of various marine and air vessels
                (i)  Which item is dense?                  so that they can fl oat. For example,
                (ii)  Which item is the least dense?       aeroplanes are made up of aluminium
                                                           alloys and not steel. This is because
             2.  The water collected in a measuring        the density of aluminium is less than
                cylinder during an experiment using        that of steel, thus, it is lighter than
                a eureka can is 30 cm . When the           steel. Moreover, aluminium is resistant
                                      3
                object that displaced this volume          to corrosion thus ensuring safety to
                was dried and weighed, its mass            the aeroplane and passengers. Figure
                was found to be 90 g. Calculate its        4.10, shows an aeroplane made of
                density.                                   less dense material fl ying in the air.

             3.  A Form One student in Physics class
                obtained the following results from
                an experiment:
                Mass of an empty beaker = 48 g

                Mass of beaker + liquid M = 60 g
                If she  had  used a  25 cm  pipette
                                          3
                to transfer liquid  M to the beaker,           Figure 4.10:  An aeroplane
                calculate the density of the liquid M.   6.   Relative density can be used in
                                                           determining the density of an
             4.  What is relative density? Express         unknown substance using the known
                relative density in terms of mass.         density of another substance.


              90
                                                                         Student’s Book Form One



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