As the moon revolves around the earth, the side that faces the earth is usually just partially illuminated by the sun. the phases of the moon describe how much of the surface appears to be in sunlight. an astronomical measure of phase is given by the fraction f of the lunar disc that is lit. when the angle between the sun, earth, and moon is θ (0 ≤ θ < 360°), then the fraction f is given by the formula below. f = 1 2 (1 − cos(θ)) determine the angles θ that correspond to the following phases. (enter your answers as a comma-separated list.)

Use the right-hand rule for magnetic force to determine the charge on the moving particle. this is a charge.

What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wavelength of 480 ? the index of refraction of the film is 1.34, and there is air on both sides of the film. express your answer in nanometers. hint 1. how to approach th

Adiver named jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm) to the surface (where the pressure is 1.00 atm). the temperature at the bottom is 4.00 ∘c, and the temperature at the surface is 23.0 ∘c. what is the ratio of the volume of the bubble as it reaches the surface (vs) to its volume at the bottom (vb)? if jaques were to hold his breath the air in his lungs would be kept at a constant temperature. would it be safe for jacques to hold his breath while ascending from the bottom of the lake to the surface?