In Fig. 3, an annular copper cylinder of radii Router = 40 cm, Rinner = 20 cm and mass M = 5 kg rolls from rest a D = 10 m distance down a Ф = 30° incline. Assume that the incline and the horizontal surface have the same fictional coefficient. a/ Compute the speed of the center of mass of the cylinder at the end of
the incline.
b/ How long does the cylinder reach to the bottom of the incline?
c/ If the annular copper cylinder and a solid wood cylinder having the same radius Router and mass release

together from rest at the initial location, which cylinder reaches the bottom first? Why?

Stars x and y are both bluish main sequence stars. star x has a higher absolute brightness than star y. how do the two stars compare? explain

Unpolarized light falls on two polarizer sheets whose transmission axes are at right angles. a third polarizer is placed between the first two so that its axis makes a 52-degree angle with the axis of the first polarizer. a) what fraction of the incident light intensity is transmitted through the first polaroid? b) what fraction of the incident light intensity is transmitted through the second polaroid? c) what is the angle of polarization of the light that enters the third polaroid? d) what fraction of the incident light intensity is transmitted through the third polaroid. e) what happens if the middle polaroid is removed?

Aprisoner is forced to go into one of three rooms, but he can choose which room. the first room is ablaze with fire. the second one is rigged with explosives that will go off as soon as he enters. the third contains a pair of lions who haven't eaten in years. which room should he choose to survive?