An elastic band is hung on a hook and a mass is hung on the lower end of the band. when the mass is pulled downward and then released, it vibrates vertically. the equation of motion is s(t)=2cost+3sint, t≥0, where s is measured in centimeters and t in seconds. (we take the positive direction to be downward.) (a) find the velocity function. (b) when does the mass pass through the equilibrium position for

Which of the following are guidelines to follow for obtaining accurate observations

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

On a frictionless air track, a blue glider with mass 0.200 kg is moving to the right with a speed of 8.00 m/s. it strikes a red glider that has mass 0.600 kg and that is initially at rest. after the collision, the blue glider is moving to the left with a speed of 3.00 m/s.(a) what are the magnitude and direction of the velocity of the red glider after the collision? (b) is this collision elastic?