. A 2.75 kg particle moves as function of time as follows: x(t) = 5cos(1.25t+π/4); where distance is measured in meter and time in seconds. (a) What is the amplitude, frequency,
angular frequency, and period of this motion? (b) What is the equation of the velocity of
this particle? (c) What is the equation of the acceleration of this particle? (d) What is the
spring constant? (e) What are the equations for the potential and kinetic energies of the
particle? (f) What is the total energy?

Which is an example of gaining a static charge by conduction? a) rubbing a balloon against your hair. b) shuffling your shoes across a carpet. c) bringing a charged rod near an electroscope. d) touching your car on a cold day and getting a shock.

What is the coefficient of kinetic friction μk between the block and the tabletop?

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