On a roller coaster ride the total mass of the cart - with passengers included - is 305 kg. Peak K is at 47.0 m above the ground, peak L is at 21.5 m. The speed of the cart at K is 15.1 m/s, at L it is 12.7 m/s. (The wheel mechanism on roller coaster carts always keeps the carts safely on the rail.) How much energy is lost due to friction between the two peaks?

Explain in physical terms how a microwave oven works. what would happen when you put a conductor in the microwave oven? explain.

Consider the particle-in-a-box problem in 1d. a particle with mass m is confined to move freely between two hard walls situated at x = 0 and x = l. the potential energy function is given as (a) describe the boundary conditions that must be satisfied by the wavefunctions ψ(x) (such as energy eigenfunctions). (b) solve the schr¨odinger’s equation and by using the boundary conditions of part (a) find all energy eigenfunctions, ψn(x), and the corresponding energies, en. (c) what are the allowed values of the quantum number n above? how did you decide on that? (d) what is the de broglie wavelength for the ground state? (e) sketch a plot of the lowest 3 levels’ wavefunctions (ψn(x) vs x). don’t forget to mark the positions of the walls on the graphs. (f) in a transition between the energy levels above, which transition produces the longest wavelength λ for the emitted photon? what is the corresponding wavele

The transfer of heat through the movement of a gas or liquid a. convection b. conduction c. radiation