# Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of oneâs birth. The only known for

Question

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 aÂ 4.1Â kgÂ baby by aÂ 120Â kgÂ father who is a distance ofÂ 0.18Â mÂ 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 ofÂ 1.90Ã10^27Â kg if it is at its closest distance to Earth,Â 6.29Ã10^11Â mÂ 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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1 year 2021-08-26T19:30:41+00:00 1 Answers 10 views 0

Explanation:

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 = 6.67×10⁻¹¹ x 4.1 x 120 / .18²

= 1.01 x 10⁻⁶ N

b )

Force between baby and Jupiter

F₂ = 6.67×10⁻¹¹ 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