De broglie postulated that for a particle with a momentum p, its corresponding wavelength is λ = n, where h is the planck's constant. assuming that a particle has a mass of m and a total kinetic energy of e, express the de broglie wavelength of this particle as a function of e, m, and h only. (ii) given that f(x) [in(5x2)]6, then determine the value of f'(2).

The voltage applied across a given parallel-plate capacitor is doubled. how is the energy stored in the capacitor affected?

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.

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.