Suppose that t and v are the kinetic and potential energies, and and momentum. and p are the position (a) prove that [pq, r where p, q and r are operators p[q, r] + [p, r\q, _ (b) show that [f(x), p] = ih dr for an arbitrary function f(x) (c) show that (xp) 2 (t) (1) dt dr (d) show that the left side of eq. (1) becomes zero in a stationary state to obtain dv 2 (t) dar which is called the virial theorem. (e) use the virial theorem, prove that (t) = (v) for stationary states of the harmonic oscillator

Which composition of water moves to begin a deepwater current?

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.

We will use a video to study faraday’s law of electromagnetic induction by analyzing the induction that occurs due a coil of copper wire sliding along an air track that passes through an external magnetic field. specifically, we will: examine some of the main principles behind faraday’s law. apply lenz’s law to determine the direction of the induced emf. take measurements of the induced emf from the voltmeter as the coil passes into and out of the external magnetic field. use the horizontal scale provided to determine the speed of the coil. calculate the magnetic field induced in the coil as it passes into and out of the external magnetic field.