Aweather balloon is inflated to a volume of 27.2 l at a pressure of 753 mmhg and a temperature of 30.9 ∘c. the balloon rises in the atmosphere to an altitude where the pressure is 395 mmhg and the temperature is -15.9 ∘c. assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants