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Physics  Form 4  Chapter 2 Force and Motion I

                1.  The procedure is modified with both the trolleys A and B each pulling a ticker tape separately.
                  This is required as the trolleys are moving separately after collision.
                2.  The resultant tape is as shown below.
                                                              Direction of motion


                                      After collision                Before collision
                                                        During
                                       Velocity = v     collision     Velocity = u
                                                      Figure 2.60
                3.  The experiment is repeated with
                  (a)   1 trolley colliding with 2 stationary trolleys,
                  (b)   2 trolleys colliding with 1 stationary trolley, and
                  (c)   3 trolley colliding with 1 stationary trolley.
        Chapter
       2      Results:                                 Table 2.6

                                Before collision                             After collision

                                   u        Total momentum,                        Total momentum
                 m 1      m 2                                      v 1    v 2
                                                  m 1 u                              m 1 v 1  + m 2 v 2
                  1        1
                  1        2
                  2        1
                  3        1

              Conclusion:
              The total momentum before collision is the same as that of after collision. The hypothesis is accepted.






             EXAMPLE 2.15

              Figure 2.62 shows two rocks moving towards each   Let v be the velocity of the rocks after collision.
              other along a straight line. After colliding with each   Total momentum before collision
              other, the two rocks lump together.           = (2 000 × 750) + [500 × (–2 000)]
                       750 m s –1        2 000 m s –1       = 500 000 kg m s –1
                                                            Total momentum after collision
                         A
                                            B               = (2 000 + 500) × v
                                                            = 2 500v
                                         500 kg             According to the principle of conservation of
                       2 000 kg
                              Figure 2.61                   momentum,  the  total  momentum  before  and after
                                                            the collision are the same.
              Calculate the speed of the rocks after the collision.
                                                            Therefore,
              Solution                                      2 500v = 500 000
                         –1
              v A  = 750 m s       v B  = –2 000 m s –1          v = 200 m s –1
              m A  = 2 000 kg      m B  = 500 kg




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       02 FOC PHYSICS F4 3P.indd   44                                                                29/01/2020   1:39 PM
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