(a) Calculate the gravitational force exerted on a 5.00 kg baby by a 90 kg father 0.200 m away at birth (assisting so he is close).(b) Calculate the force on the baby due to Jupiter if it is at its closest to the earth, some 6.29 × 10 11 m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90 × 10 27 k g. Other objects in the room and the hospital building also exert similar gravitational forces.

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(a) Calculate the gravitational force exerted on a 5.00 kg baby by a 90 kg father 0.200 m away at birth (assisting so he is close).(b) Calculate the force on the baby due to Jupiter if it is at its closest to the earth, some   6.29  ×      10          11        m away, showing it to be comparable to that of the father. The mass of Jupiter is about   1.90  ×      10          27           k  g. Other objects in the room and the hospital building also exert similar gravitational forces.

rynosluv101swv2s · Accepted Answer

Step 1Given: mass of baby, m = 5 kgmass of father, M = 90 kgdistance between them, r = 0.2 mFind: (a) The gravitational force exerted on a baby by the father.(b) The force on the baby due to jupiter if the mass of jupiter is   1.90  ×      10          27           k  g and distance between them is   6.29  ×      10          11           mStep 2From the universal gravitation law:Where, G = gravitational constant =   6.673  ×      10          −      11        N      m    2        /    k      g    2        F          f      a      t      h      e      r        =            G      M      m              r      2      Step 3Substitute all the values, we get:      F          f      a      t      h      e      r        =            G      M      m              r      2              F          f      a      t      h      e      r        =            6.673      ×              10                  −          11                    ×      90      ×      5              0.2      2              F          f      a      t      h      e      r        =  7.51  ×      10          −      7        NStep 4(b) From universal gravitation law:      F          j      u      p      i      t      e      r        =            G              M                  j          u          p          i          t          e          r                    m              r      2              F          j      u      p      i      t      e      r        =            6.673      ×              10                  −          11                    ×      1.90      ×              10                  27                    ×      5              (      6.29      ×              10                  11                            )        2                    F          j      u      p      i      t      e      r        =  1.60  ×      10          −      6        NStep 5Answer: (a) The gravitational force exerted on a baby by a father is   7.51  ×      10          −      7        N(b) The gravitational force exerted on a baby by the jupiter is   1.60  ×      10          −      6        N

(a) Calculate the gravitational force exerted on a 5.00 kg baby by a 90 kg father 0.200 m away at bi

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