During july 1994 the comet shoemaker-levy 9 smashed into jupiter in a spectacular fashion. the comet actually consisted of 21 distinct pieces, the largest of which had a mass of approximately 4.0 · 1012 kg and a speed of 6.0 · 104 m/s. jupiter has a mass of 1.9 · 1027 kg and an orbital speed of 1.3 · 104 m/s. if this piece of the comet had hit jupiter head on, what would have been the change (magnitude only) in jupiter’s orbital speed (not its final speed)?

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