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Physics  Form 4  Answers

               Checkpoint   2.3                (b)  Total momentum after collision   (b)  t = 0.2
                                                  = 1200 kg m s –1                  mv – mu
              Q1  s = 100 m, a = g = 10 m s –2  (c)  Principle of conservation of   F =    0.2
                  u = 0 m s –1                    momentum                          600(0) – 600(50)
                      1                        (d)  Total momentum after collision        =    0.2
                  s  = ut +   at  2               = 100 × 6 + 200 × v               = –1.5 × 10  N
                      2
                                                                                          5
                       1                          = 1200 kg m s –1                                   5
                   100 = 0 +   (10)t  2             200v = 600                   Magnitude of force = 1.5 × 10  N
                       2
                     t =  20                        v = 3 m s –1              (c)  The time in (a) is 10 times
                      = 2 5 s or 4.47 s      Q2  (a)  Total momentum before collision   greater than in (b). The old tyres
                                                    = (1500 × 15) + [1000 × (–20)]   lengthen the stopping time of
              Q2  (a)  An object undergoes free fall if           = 2500 kg m s –1  the car and hence, reduce the
                   it is acted upon by gravitational                             impulsive force acted on the car.
                   force only.                 (b)  Total momentum after collision   (d)  a =    F  , if m is small, a is bigger

                                                  = Total momentum before collision
                                                                                    m
                (b)  The rubber ball will reach the      = 2500 kg m s –1        for a fixed value of F. With that,
                   ground first.               (c)  Principle of conservation of   the racing car can move faster.
                (c)  The rubber ball has a compact   momentum
                   shape and has less frictional                            Q2  The action of moving the hand
                   force from the air compared with   (d)   (m van  + m car )v = (m van u van  + m car u car )  backward, the worker will lengthen
                   a piece of paper.               (1500 + 1000)v  = 2500     the impact time between the
              Q3  (a)  v A  = 24 m s –1                     v  = 1 m s –1     watermelon and the hand and hence
                                                                              reduce the impulsive force.
                     v B  = 0 m s –1         Q3  (a)  Recoil velocity of the rifle = v
                       2
                     v   = u  + 2as               0.012 × 360 = 6v          Q3  (a)  The front and rear crumple
                    2
                    2
                     0  = v A  = 2(–10)(s)               v  = 0.72 m s –1        zones are designed to crumple
                       2
                   0  = 576 – 20s              (b)  Mass of the wooden block = m  upon impact in a collision. A
                     s  = 28.8 m                  0.012 × 360 = (0.012 + m) × 12  longer impact time will reduce
                (b)  v = u + at                          m  = 0.348 kg or 348 g  the impulsive force exerted on
                                                                                 the car.
                   0 = 24 + (–10)t                                            (b)  The strong and rigid cell will
                   t = 2.4 s                 Q4  (a)  When a large volume of water   prevent the roof from collapsing
                                                  rushes out of the hose with a
                (c)  There is no frictional force acting   very high speed, it has a very   on the passengers in the event
                   on the ball.                   big momentum. According to     when the car overturns. The
                                                  the principle of conservation   passengers will be protected
               Checkpoint   2.4                   of momentum, an equal and      from direct impact with external
              Q1  (a)  Tin P                      opposite momentum is produced   forces.
                                                  causing the fireman to fall
                (b)  Tin P                        backward if not supported by    Q4  (a)  The driver has inertia that keeps
                                                                                 him moving forward even when
                (c)  The mass of tin Q is bigger   another fireman.              the car stops suddenly.
                   and hence, there is a bigger   (b)  Initially, the twins are at rest   (b)  The air bag absorbs the initial
                   resistance for tin Q to change   and the total momentum is    impact and cushions the driver
                   its state of being stationary or   zero. When they push each   from hard objects like the
                   being in motion. That is, object   other and release their hands,   steering wheel and windscreen.
                   with bigger mass has bigger    both will acquire momentum of
                   inertia.                       equal magnitude but in opposite   Checkpoint  2.8
                                                  directions to each other in    Q1  (a)  Mass of an object is the quantity
              Q2  (a)  A fully loaded lorry has a big   accordance to the principle of
                   mass. Hence, its inertia is big.  conservation of momentum    of matter in the object.
                (b)  The mass of a train is big.   where the final total momentum      Weight of an object is the
                   Hence, its inertia is big.     is still zero.                 gravitational force acting on the
                (c)  Steel tubes have big mass.                                  object at a particular place.
                   Hence, the oil platform is not   Checkpoint  2.6           (b)   Weight      Mass
                   easily moved.
                                             Q1  m = 5.0 kg                       Vector quantity Scalar quantity
              Q3  (a)  The pencil box will continue to   F = 12.0 N               Varies with the  Is the same
                   move and leave the toy car.    F  12.0                         value of g  anywhere
                (b)  The inertia of the pencil box   a =  m  =      5.0   = 2.4 m s –2
                   causes it to remain in its original                            Measures   Measured using
                   state of motion although the car   Checkpoint  2.7             using spring   inertia balance
                   has been stopped.                     –1      –1               balance
                (c)  The pencil box will move with a     Q1  (a)  u = 50 m s , v = 0 m s ,   (c)  mg  = 47 × 10
                                                 m = 600 kg


                   higher velocity and land further   t = 0.02,                     = 470 N
                   from the obstacle.               mv – mu
                                                 F =    0.02
               Checkpoint   2.5                      =  600(0) – 600(50)       SPM Practice  2
              Q1  (a)  Total momentum before collision      0.02            Objective Questions
                   = 100 × 2 + 200 × 5              = –1.5 × 10  N           1.  B   2.  C   3.  A   4.  B   5.  C
                                                           6
                   = 1200 kg m s –1               Magnitude of force = 1.5 × 10  N    6.  A   7.  C   8.  B   9.  C  10.  B
                                                                      6
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       ANS FOC PHYSICF F4 1P.indd   254                                                              29/01/2020   2:04 PM
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