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                   Example 2.13, p. 46                                    Example 2.17, p. 49
                                                                                                       _ 2
                                                                                                       mv
                           Astronaut:                                               m = 0.25 kg     F =

                                                                                                        r
                             a = 0.500 m/s 2                                         r = 0.25 m
                                                                                                                  m _ 2
                                                                                                         (0.25 kg)(2.0          )
                              t = 1.50 s                                             v = 2.0 m/s       __
                                                                                                                   s

                                                                                                     =
                             v i  = 0 m/s                                            F = ?                  0.25 m
                                                                                                               (
                             v f  = ?                                                                           _   2
                                                                                                                4.0 m


                                                                                                         (0.25 kg)     2 )
                                                                                                       __

                                  _                                                                  =            s

                                  v f  − v i

                               a =           ∴  v f  = at + v i                                             0.25 m
                                    t                                                                               2
                                                                                                       (0.25)(4.0) kg  .  m
                                                                                                                        1 _
                                                                m _
                                                    m _

                                               (
                                                     2)

                                                                                                                   ×






                                                 =   0.500       (1.50 s) + 0                            =   _ _        m
                                                                                                                  2
                                                                                                         0.25
                                                                s
                                                    s                                                            s
                                                                                                          kg  .  m
                                                         m _  s _                                         _



                                               = (0.500)(1.50)        ×                                  = 4.0
                                                          2
                                                         s   1                                             s 2
                                                    m _                                                  =  4.0 N

                                               =  0.750
                                                    s
                                                                          Example 2.20, p. 51
                          Spacecraft:
                                                                                                   2
                                                                                             –11
                             a = 0.250 m/s 2                                        G = 6.67 × 10  N  .  m /kg 2
                                                                                            24
                              t = 1.50 s                                         m e  = 6.0 × 10  kg
                                                                                            6
                             v i  = 0 m/s                                           d = 12.8 × 10  m
                             v f  = ?                                               g = ?
                                  _                                                 _
                                                                                    Gm e

                                  v f  − v i

                               a =           ∴  v f  = at + v i                  g =
                                    t                                                 2
                                                                                     d
                                                                m _
                                                    m _
                                                                                                  2 )
                                               (
                                                     2)

                                               =   0.250       (1.50 s) + 0          (   6.67 × 10    _ 2   (6.0 × 10  kg)

                                                                                             –11 N  .  m




                                                                                                           24
                                                                s


                                                    s
                                                                                                kg
                                                                                    ____

                                                         m _  s _                   =               6
                                                                                                       2
                                               = (0.250)(1.50)        ×                     (12.8 × 10  m)

                                                         s 2  1                                _   2
                                                                                             –11 N  .  m
                                                                                                           24


                                                    m _                              (   6.67 × 10       2 )   (6.0 × 10  kg)

                                               =  0.375                             ____
                                                                                                kg
                                                    s                               =

                                                                                                    14
                                                                                            1.64 × 10  m 2
                                                                                                      24
                   Example 2.15, p. 47                                              ___ _                    2  _    1 _
                                                                                            –11
                                                                                                                kg
                                                                                     (6.67 × 10 )(6.0 × 10 ) N  .  m


                                                                                    =                      ×         ×






                        Student and boat m = 100.0 kg                                            14        2    1     2
                                                                                          1.64 × 10       kg        m
                          Student and boat v = ?
                                                                                        kg  .  m
                                                                                        _

                          Rock m = 5.0 kg
                                                                                          2
                                                                                        _
                                                                                          s

                          Rock v = 5 m/s                                            = 2.44
                                                                                         kg
                   rock momentum – student and boat momentum = 0
                                                                                       m _
                                        (mv) r   – (mv) s&b  = 0                    =  2.4

                                                                                       s 2
                                    m _
                           (5.0 kg)  (5.0          )  – (100.0 kg)(v s&b ) = 0
                                     s
                                    m _                                    CHAPTER 3
                              (25 kg  .           )  – (100.0 kg)(v s&b ) = 0
                                     s
                                                                            Example 3.2, p. 63
                                                 m _
                                           (25 kg .         ) = (100.0 kg)(v s&b )   w = 50 lb

                                                  s
                                                                                   d = 2 ft
                                                           m _
                                                      25 kg  .

                                                      _                          W = ?
                                                            s
                                                 v s&b  =
                                                       100.0 kg                     W = Fd
                                                                                      = (50  lb) (2 ft)
                                                       25 _
                                                      _    kg   1 _  m _
                                                    =            ×     ×              = (50)(2) ft  .  lb









                                                      100.0 1  kg   s
                                                                                      =  100 ft  .  lb
                                                          m _

                                                    =  0.25
                                                          s
                   634     APPENDIX D  Solutions for Follow-Up Example Exercises                                         D-2
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