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Physics  Form 4  Chapter 2 Force and Motion I

               EXAMPLE 2.12                                         Checkpoint                   2.3
                                                                Q1  What is the time taken for a stone to undergo
                A student throws a stone                           free fall of  100 m? (Assume the  gravitational
                                                                                      –2
                vertically upwards.                                acceleration, g = 10 m s )
                The stone moves to a                            Q2  Figure 2.41(a) shows an astronaut standing on
                height of 5 m before                               the surface of the Moon. He releases a piece of
                stopping and then falls                            paper and a rubber ball from the same height at
                downwards. Figure 2.40                             the same time. Figure 2.41(b) is a stroboscopic
                                                                   photograph that shows how the piece of paper
                shows the path moved                               and the rubber ball undergo free fall and reach
                by the stone from A to B                           the ground at the same time.  HOTS
                and C.
                (a)  What is the                                              Ball
                    magnitude of the                                            Paper                        Chapter
                    velocity of the stone
                    when it leaves the
                    hand of the student?                                                                    2
                (b)  How long is the time                                    (a)           (b)
                    taken for the stone to
                    travel from  A to C?                                        Figure 2.41
                    (Take g = 10 m s )     Figure 2.40             (a)  What is meant by free fall?
                                  –2
                                                                   (b)  What inference can you make based on the
                Solution                                               observations?
                Height, s = 5 m.                                   (c)  When the activity is repeated on the Earth,
                                                                       which of the two objects will reach the
                (a)  The stone moves in the opposite direction from    ground first? Explain your answer.
                    the gravitational force. Hence, the value of the    Q3  Figure 2.42  shows a  ball is  thrown vertically
                    gravitational acceleration is g = –10 m s . At   upwards from the position  A with a velocity of
                                                     –2
                                                                         –1
                    B, the stone come to a rest. Hence, v = 0 m s .  24 m s . The ball moves to position B, and then
                                                        –1
                                                                   falls downwards.
                    If its speed when in A is v A  , therefore by using
                    the formula,                                                B
                                v   = u  + 2as
                                     2
                                 2
                                0  = v A  + 2 (–10)(5)
                                     2
                                v A   = 100
                                 2
                    Therefore, v A  = 10 m s –1
                (b)  The displacement of the stone from A at position          24 m s  –1
                    C is 0. By using the formula,
                                        1
                                 s  = ut +  at 2
                                        2                                       A
                                         1
                                0  = 10t +  (–10)t 2
                                         2
                           5t(2 – t) = 0
                                 t  = 2 s                                       Figure 2.42
                    Hence the total time taken by the stone to travel   (a)  What is the distance between A and B?
                                                                   (b)  What is the time taken for the ball to move
                    from A until C is 2 seconds.                       from A to B?
                                                                   (c)  State the assumption made when doing the
                                                                       calculations.
                                                                       (Take g = 10 m s )
                                                                                    –2






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