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Physics  Form 4  Chapter 2 Force and Motion I

                2.5    Momentum                                Solution
                                                               (a)  Momentum of the car  = 800 × 20
                                                                                      = 16 000 kg m s –1

                                                                   Momentum of the lorry  = 5 000 × 20
                                                                                       = 100 000 kg m s –1

                                                               (b)  The lorry, due to its bigger momentum.
                                Figure 2.55
                 1.  Every moving object has momentum. However,   Principle of Conservation of
                   the momentum of a timber lorry is very much   Momentum
                   bigger than that of a cyclist, despite both                                               Chapter
                   vehicles moving at the same speed.           1.  According  to  the principle of conservation
                                                                   of momentum, when two or more bodies act
                 2.  The linear momentum of an object is defined   on each other, their total momentum remains   2
                   as the product of its mass and velocity         constant,  provided  that  there  is no  external
                                                                   force acting on them.
                          Momentum = Mass × Velocity
                                                                                 SPM Tips
                                                                Elastic Collision vs Inelastic Collision
                 3.  The SI unit for momentum is kg m s  or N s.   Q:  Elastic and inelastic collisions are two very common
                                                  –1
                                                                   types of collision.  How  is momentum related  to
                   Momentum is a vector quantity. The direction    these two types of collision  and  what are the
                   of momentum is the same as the direction of     differences between both types of collision?
                   velocity.

               EXAMPLE 2.13
                The total mass of a lorry is 20 000 kg and the total
                mass of a car is 2000 kg.
                If both  the  lorry and  the  car  are  travelling  at  a
                velocity  of 25 m s , calculate  the momentum  of
                                –1
                the lorry and the car respectively.             (a)  Collision between electric bumper cars in an elastic collision
                Solution
                Momentum of the lorry = 20 000 × 25
                                    = 5 × 10  kg m s –1
                                           5
                Momentum of the car  = 2 000 × 25
                                    = 5 × 10  kg m s –1         (b)  Collision between two cars is an inelastic collision
                                           4
                                                                                Figure 2.56

               EXAMPLE 2.14                                     A:  •  In an elastic collision, the total kinetic energy of
                                                                    the system is conserved. The objects elastically
                A car has a mass of 800 kg and a lorry has a mass   spring back to  their original shapes and the
                                                                    system retains all its original kinetic energy.
                of 5000 kg.                                        •  In an inelastic collision, the total kinetic energy
                (a)  Compare the momentum of both vehicles when     is not conserved . One or more of the colliding
                    moving at a velocity of 20 m s .                objects may not spring back to its original shape
                                             –1
                (b)  If both  vehicles  move  at  the  same  velocity,   or heat or sound may be generated. The total
                    which vehicle  will  cause greater  destruction        kinetic energy of the system after the collision
                    when hitting a lamp post?                        is less than that before the collision.




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