An electron moves in a three-dimensional box of edge length l and volume l3. the wave function of the particle is ψ = a sin(kxx) sin(kyy) sin(kzz). show that this energy is given by the following equation, where the quantum numbers (nx, ny, nz) are integers ≥ 1. (submit a file with a maximum size of 1 mb.)

True or false when elements combine to form a mixture, the resulting chemical properties may be very different from those of the elements that make it.

Choose the most likely outcome of this scenario: jen decided to go bike riding without a helmet. while no one is around during her ride, she is thrown from her bike when her wheel goes into a pothole. she is not injured, but she is terrified to get back on her bike. what happens next? a. her physical health is affected even though she wasn't hurt. b. her mental and emotional health are affected because she is afraid to get back on her bike. c. her social health is affected because she is worried her friends saw the fall. d. her overall health is not affected at all by her fall.

Abookcase has a mass of 38 kg and the coefficient of friction between it and the floor is 0.82 what is the maximum force of friction between the bookcase and the floor a 372n b 305n c 412n d 449n