A student is participating in the school science fair. She wants to investigate household cleaners.

Which question can she best answer through scientific investigation?

Which household cleaner is most effective at removing stains?
Which household cleaner smells the best?
How often should a person use household cleaners?
Where should a person buy household cleaners?

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