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Physics  Form 4  Chapter 2 Force and Motion I
                                  SPM Tips
                                                               EXAMPLE 2.21
                The definition of Newton’s second law of motion consists
                of a few important facts:                       A box of mass of 5 kg moves with a uniform
                •  The object will only accelerate if  there is a net external   velocity  when acted  upon by a force of 10 N.
                  force acting on it.
                •  The  acceleration  is  directly  proportional  to  the  net   Calculate,
                  external force.                               (a)  frictional force acting on the box, and
                •  The  direction  of  the  acceleration  is  the  same  as  the   (b)  acceleration of the box if the force is 20 N.
                  direction of the external force.
                •  The  magnitude  of  the  acceleration  of  the  object  is   Solution
                  inversely proportional to its mass.
                                                                (a)
                                  SPM Tips
                                                                    Friction                 F = 10 N
                The meaning of F = ma is:                                                                    Chapter
                •  The net force F, in the direction of the acceleration.       Figure 2.78
                •  The  direction  of the force and  the direction  of the
                  change of momentum are the same.                 The force acting on the box in the horizontal
                •  The direction of the force F is the same as the direction   direction is the force F = 10 N and frictional   2
                  of the acceleration, a.                          force. These forces are in equilibrium when the
                                                                   box moves with uniform velocity. Hence, the
                                                                   magnitude of the frictional force = 10 N, in the
               EXAMPLE 2.20                                        opposite direction to F.
                A 100 kg box is placed on a smooth floor and is   (b)
                pulled by a force F N.                                               a
                                        100 kg                    Friction = 10 N           F = 20 N
                                 F                                                           1
                                                                                Figure 2.79
                                 Figure 2.77
                (a)  If F = 200 N, calculate the acceleration of the      When  F 1   = 20 N,  the net force acting in the
                                                                   direction of the acceleration, a
                    box.                                           = F 1  – friction
                (b)  If the velocity of the box changes from rest to   = (20 – 10) N
                    15.0 m s  in 10 seconds when acted upon by     = 10 N
                           –1
                    a force, what is the value of the force?
                Solution                                           Using the formula  F = ma
                (a)  Given, m  = 100 kg, F = 200 N                                  10 = 5 × a
                          F  = ma                                                    a  = 2 m s –2
                                F    200
                    Therefore a  =    =  100
                                m
                              = 2 m s –2
                                   v – u                            Checkpoint                   2.6
                (b)  Acceleration, a  =   t
                                   15.0 – 0                     Q1  A box with a mass of 5.0 kg is pulled along a
                                 =   10                            smooth floor. If the force is 12.0 N, what is the
                                                                   acceleration of the box?
                                 = 1.5 m s –2
                    Force, F = ma
                           = 100 × 1.5
                           = 150 N








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