The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force exerted on a 4.20 kg baby by a 100 kg father 0.200 m away at birth (he is assisting, so he is close to the child). (b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some away. How does the force of Jupiter on the baby compare to the force of the father on the baby? Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)

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percolarse2rzd · Accepted Answer

Step 1(a)The magnitude of the gravitational force exerted on the baby by the father can be determined as follows.  F  =            G      M      m              R      2          =            (      6.673      ×              10                  −          11                           N      ⋅              m        2                    /            k              g        2            )      (      100             k      g      )      (      4.20             k      g      )              (      0.200             m              )        2                =  7.01  ×      10          −      7           NStep 2(b)The magnitude of the force exerted on the baby due to Jupiter can be determined as follows.      F    ′    =            G              M        ′            m              R              ′        2                =            (      6.673      ×              10                  −          11                           N      ⋅              m        2                    /            k              g        2            )      (      1.898      ×              10                  27                           k      g      )      (      4.20             k      g      )              (      6.29      ×              10                  11                           m              )        2                =  1.344  ×      10          −      6           NStep 3The force exerted on the baby due to Jupiter can be compared by the gravitational force as follows.            F      ′        F    =            1.344      ×              10                  −          6                           N              7.01      ×              10                  −          7                           N          =  1.917

The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the g

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