5) The computational model below shows the total energy (Etotal) of a closed system, which is equal to the sum of the total kinetic energy (KEtotal) and the gravitational potential energy (U) between the masses m1 and m2 separated by distance r. Etotal=KEtotal+U, where U=−G^m1m2r
Which statement explains the reason why planets closer to the sun orbit faster than those that are farther away?
-The value of Etotal increases significantly the closer the planet is to the sun. -The value of KEtotal increases because U has a larger negative value.
-The value of KEtotal increases because U has a lesser negative value.
-The value of G increases significantly the closer the planet is to the sun.

6)In a closed system, the initial kinetic energy is 70 J. The initial potential energy is 20 J. What is the total final energy of the system?
70 J

45 J

50 J

90 J

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

Two polarizers are oriented at 24.0∘ to one another. light polarized at a 12.0-degree angle to each polarizer passes through both. what is the transmitted intensity (%)?

Hey student studies gravity using objects that have the same mass which two objects have the greatest gravitational force acting between them a. 100kg 1.0m 100kg b. 100kg 2.0m 100kg c. 100kg 2.0m 100kg big d. 100kg big 3.0m 100kg big