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 that a planet could exert on us is gravitational, so if there is anything to astrology we should expect this force to be significant.

(a) Calculate the gravitational force, in Newtons, exerted on a 4.1kg baby by a 120kg
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
1.90 ×10^27 kg if it is at its closest distance to Earth, 6.29×10^11m away.
(c) What is the ratio of the force of the father on the baby to the force of Jupiter on the baby?

One kind of e-book display consists of millions of very small spheres that float in a thin fluid layer between two conducting transparent plates. each sphere is black on one side and white on the other, and possesses an electric dipole moment directed from the white side to the black. when an electric field is applied between the plates, the spheres rotate so that their dipole moment lines up with the field. depending on the fields direction, either the black or the white sides of th espheres can be made visible. the dipole moment of the spheres can be modeled as two opposite charges of magnitude 3.5 x 10^-15 c, separated by a distancce of 100 micrometers (um). what is the maximum possible torque on a sphere if the electric field between the transparent plates is 4.0 x 10^5 n/c