a. What is the gravitational force of the sun on the earth?b. What is the gravitational force of the moon on the earth?c. The moon’s force is what percent of the sun’s force?

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hospitaliapbury · Accepted Answer

Step 1The gravitational force (F) of attraction between two objects of masses       M    1   and       M    2   that are a distance (r) apart is given by Newton’s formula as follows:  F  =            G              M        1                    M        2                    r      2      Here, G (  6.67  ×      10          −      11        N  ⋅      m    2    ⋅  k      g          −      2      ) is the gravitational constant.Step 2a.The Earth’s mass (      M    E  ) is   5.972  ×      10          24           k  gThe Sun’s mass (      M    S  ) is   1.99  ×      10          30           k  g and it is at an average distance (      r    S  ) of   1.50  ×      10          11      m from the Earth.Evaluate the Sun’s gravitational force (      F    S  ) on the Earth from the above facts as follows:      F    S    =            G              M        S                    M        E                    r      S      2          =            (      6.67      ×              10                  −          11                    N      ⋅              m        2            ⋅      k              g                  −          2                    )      (      1.99      ×              10                  30                           k      g      )      (      5.972      ×              10                  24                           k      g      )              (      1.50      ×              10                  11                            )        2                =  3.52  ×      10          22           N

fetsBedscurce4why1 · Accepted Answer

Step 3b.The Moon’s mass (      M    M  ) is   7.35  ×      10          22           k  g and it is at an average distance (      r    M  ) of   3.84  ×      10    8       m from the Earth.Evaluate the Moon’s gravitational force (      F    M  ) on the Earth from the above facts as follows:      F    M    =            G              M        M                    M        E                    r      M      2          =            (      6.67      ×              10                  −          11                    N      ⋅              m        2            ⋅      k              g                  −          2                    )      (      7.35      ×              10                  22                           k      g      )      (      5.972      ×              10                  24                           k      g      )              (      3.84      ×              10        8                   m              )        2                =  1.99  ×      10          22           NStep 4c.Evaluate the desired percentage (P) from the percentage formula as follows:  P  =            F      M              F      S        ×  100  %    =            (      1.99      ×              10                  22                           N      )              (      3.52      ×              10                  22                    N      )        ×  100  %    =  56.70  %

a. What is the gravitational force of the sun on

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