Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one’s birth. the only known force a planet exerts on earth is gravitational.
(a) calculate the gravitational force father 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 force f jupiter on the baby due to jupiter if it is at its closest distance to earth, some 6.29 x 10^11 m away.
(c) how does the force of jupiter on the baby compare to the force of the father on the baby father / of jupiter

(a)

              (b)  

              (c) The force of Jupiter on the baby is slightly greater than the the force of the father on the baby.

Explanation:

According to the law of universal gravitation, which is a classical physical law that describes the gravitational interaction between different bodies with mass:

  (1)

Where:

is the module of the force exerted between both bodies

is the universal gravitation constant and its value is

and are the masses of both bodies.

is the distance between both bodies

Knowing this, let's begin with the answers:

Using equation (1) and taking into account the mass of the father , the mass of the baby and the distance between them , the force  exerted by the father is:

  (2)

  (3)

Using again equation (1) but this time taking into account the mass of Jupiter , the mass of the baby and the distance between Jupiter and Earth (where the baby is) , the force  exerted by the Jupiter is:

  (4)

  (5)

Now, comparing both forces:

  and  we can see is greater than . However, the difference is quite small as well as the force exerted on the baby.

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