. As shown in Figure 23.56, a layer of water covers a slab of material X in a beaker. A ray of light traveling upwards follows the path indicated. Using the information on the figure, find (a) the index of refraction of material X and (b) the angle the light makes with the normal in the air.

9c Qa О qb a/2 30 30 2 a/2 a R 90 a 90 a/2 a/2 6060 R R 30 r 30 30 90 90 30 a/2 a/2 a http://www.treenshop.com/Ireenshop/ArticlesPages/HiguresUninterest Article/The%20Equilateral%20 Triangle.htm qa = +1.8 nc, qb = -7.5 nC, qc = -8.7 nC, a = 30.0 cm The point charges are located at the corners of an equilateral triangle of side a. Determine the electric field at the center of the right side of the triangle. R || = r = 3 h 6 t

The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 29 m/s and its acceleration is 8 m/s². (Figure 1) Part A Express the velocity of the washer at this point in terms of its cylindrical components. Express your answers in meters per second to three significant figures separated by commas. ► View Available Hint(s) Ur, Ue. Uz = Submit || ΑΣΦ Part B Complete previous part(s) ↓↑ vec ? m/s

Since &o=8.85 x 10-12 C2/N-m², the units of E² can be reduced to O J s m O N s m J m 3 3 N m W m

If [x, p]=in and π = _—_p²+ -—-k x², , evaluate the commutator [.]. 2m 00 O O P m iħ 2m -P ħ iħ ħ m 2m iħ m 2m -P -P -P iħ m

Determine angle theta, length AB and length AC for the metal pice shown.