With simple harmonic motion, the reciprocal of the period is called the frequency. The frequency, given by f = 1/period represents the number of cycles (or oscillations) that are completed per unit time. The units used to describe frequency are Hertz, where 1 Hz = 1 cycle per second. In one country, the voltage of the alternating current coming through an electrical outlet can be modeled by the function V = 240 sin (130πt), where t is measured in seconds and V in volts. What is the frequency of the voltage?

Three charge are arranged as shown in the diagram. the magnitude of the net electrical force acting on the +6 uc charge, rounded to the tenths place, is .

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?

Which of the following is a true statement about the acceleration ~a of the pendulum bob ~a is equal to the acceleration due to gravity. ~a is perpendicular to the bob’s trajectory. ~a is equal to the instantaneous rate of change in velocity. ~a is tangent to the bob’s trajectory.