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25 February, 10:12

Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of oneâs birth. The only known force that a planet could exerts on us is gravitational, so if there is anything to astrology we should expect this force to be significant.

Required:

a. Calculate the gravitational force, in Newtons, exerted on a 4.1 kg baby by a 120 kg father who is a distance of 0.18 m away at the time of its birth.

b. Calculate the force on the baby, in Newtons, due to Jupiter (the largest planet, which has a mass of 1.90Ã10^27 kg if it is at its closest distance to Earth, 6.29Ã10^11 m away.

c. What is the ratio of the force of the father on the baby to the force of Jupiter on the baby?

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Answers (1)
  1. 25 February, 10:16
    0
    Gravitational force between two objects having mass m₁ and m₂ at a distance R

    F = G m₁ m₂ / R²

    Force between baby and father F₁ = 6.67x10⁻¹¹ x 4.1 x 120 /.18²

    = 1.01 x 10⁻⁶ N

    b)

    Force between baby and Jupiter

    F₂ = 6.67x10⁻¹¹ x 1.9x 10²⁷ x 4.1 / (6.29 x 10¹¹) ²

    = 1.31 x 10⁻⁶ N

    c)

    Ratio = 1.01 / 1.31

    =.77
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