A person is trying to ride a bike all the way round the inside of a pipe for a stunt in a film. The filmmaker wants to know what speeds are involved. The pipe has a diameter of 8 m. The mass of the bike and rider is 400 kg. The rider goes at a constant speed of 5 m/s. a) What is its acceleration at the bottom?
b) What is the force on the bike at an angle of 30° up from the bottom?
c) What is the minimum velocity at the top for the bike and rider to stay moving in a circle?
d) Do the bike and rider have sufficient velocity to stay movins a on a circle at the top?

Which of the following is a homogenous mixture? o a. a toy box filled with toys o b. blood o c. trail mix o d. spaghetti and meatballs submit

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

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final