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Physics  STPM  Answers
              Section C
               18.  (a)  Centripetal force: force towards the centre of the circle that enables the particle
                      to move in a circle.
                      Reason for the acceleration:
                      •  direction of velocity is constantly changing
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                      •  acceleration = rates of change of velocity
                  (b)  (i)
                           Friction, F    Reaction, R



         Semester
         1                       Weight, mg
                      (ii)  F = μR
                          R sin 30° + (μR) cos 30° = mg
                                 (0.050)(9.81)
                          R =                 N = 0.481 N
                             sin 30° + (0.60)cos 30°
                      (iii)  Friction = μR = 0.289 N
                      (iv)  R cos 30° – F sin 30° = (0.050)r[2(2.5)π] 2
                                   (0.481)cos 30° – (0.289)sin 30°
                          Radius, r =                     m
                                         (0.050)(5.0π) 2
                                 = 2.20 cm
                      (v)  Centripetal force, R cos 30° – F sin 30° = constant
                                                      = mrw 2
                          When r decreases, w increases.
               19.  (a)  (i)  n : number of gas molecules per unit volume
                          m : mass of gas molecule
                          <c >: mean square speed of gas molecules
                           2
                               1        1       1 M
                      (ii)     p =  nm<c > =  ρ<c > =     <c >
                                                      2
                                            2
                                    2
                               3        3       3 V m
                               1
                          pV  =  (mN )<c >= RT
                                       2
                            m  3    A
                                                             3
                                                     3 R
                                             1
                          Mean translational K.E. =  m<c > =  (  )T =  kT
                                                 2
                                                     2 N
                                                             2
                                             2
                                                        A
                  (b)  (i)   p                        (iii)    I:  W= p (2V  – V ) = p V
                                                                   o  0  0   o  0
                                      I                                   2V
                                                            II:  W = nRT  ln (  0  ),
                                                                     0
                                      II                                  V 0
                                                               p V  = nRT 0
                                                               o
                                                                 0
                                      III
                           0              V                    W = p V  ln2
                                                                   o
                                                                     0
                               V 0   2V 0
                                              538
         ANS STPM Q&A Physics.indd   538                                      16/02/2022   4:35 PM
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