Aparticle of mass m is confined in a one-dimensional infinite well: v(r) 0, if 0 s sa; v(r)-o, if r < 0 or r> a. its normalized wave function is ψ(r)-v8/5a11+ cos(nr/a)]sin(nr/a) inside the well. (a) rewrite the wave function in terms of the normalized eigenfunctions: ση anth and determine the coefficients an. (b) what values can the measured energy of the system possibly be? (c) what is the average energy of the system after many measurements?

Moon effect. some people believe that the moon controls their activities. if the moon moves from being directly on the opposite side of earth from you to being directly overhead, by what percentage does (a) the moon's gravitational pull on you increase and (b) your weight (as measured on a scale) decrease? assume that the earth–moon (center-to-center) distance is 3.82 × 10^8 m, earth's radius is 6.37 × 10^6 m, moon's mass is 7.36 × 10^22 kg, and earth's mass is 5.98 × 10^24 kg.

Explain to someone who knows nothing about fossils the study of invertebrate paleontology and how it scientists understand the history of the earth. be sure your explanation contains a minimum of two complete sentences.

In which of the following would the particles move most rapidly? a. ice at -20 °c b. water at 20 °c c. steam at 110 °c d. boiling water e. ice at 0 °c