Mary and her younger brother alex decide to ride the 17-foot-diameter carousel at the state fair. mary sits on one of the horses in the outer section at a distance of 8 feet from the center. alex decides to play it safe and chooses to sit in the inner section at a distance of 5 feet from the center.(a) what is mary's angular speed ? m compared to that of alex's angular speed ? a? give your answer as a multiple of ? a.(b) what is mary's tangential speed vm compared to that of alex's tangential speed va? give your answer as a multiple of va.

Apulley with a mechanical advantage of 5 will require you to pull times the amount of rope. a. 1/5 b. 5 c. 10 d. 15

Which best term to describe a chemical reaction that absorbs energy from its surroundings? a.thermal conductor b.thermal insulator c.endothermic d.exothermic

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