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Suppose you are given a problem involving an electron in a wire and you solve the time independent Schr¨odinger equation (TISE) to ?nd ?(x) for a particular energy level E. Write down the expression for ?(x, t) in terms of ?(x) and time t.
a. How would the wave function of the electron behave as a function of time?b. How would the probability density for the electron behave as a function of time?c. What is actually time-independent and what is time-dependent?
2. The Horseshoe Falls on the Canadian side of Niagara Falls have water that moves horizontally at 9.0 m/s which then falls 53 m vertically into the Niagara River below. Ignoring any air resistance, at what angle does the falling water enter th..
A 35.2 kg box is sitting on the seat of a ferris wheel. Find the normal force the seat of the ferris wheel exerts on the box at the bottom of the loop and at the top of the loop
A mass m slides in the bottom of a hemispherical bowl of radius R under the influence of gravity. Find the constraint force
The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 7.00 s, Through how many revolutions does the tub turn while it is in motion
A point charge of +6.3? C is located 0.31 m from a second point charge of -4.8? C. What is the absolute magnitude of the force on each charge?
Suppose that two carts, one twice as massive as the other, fly apart when the compressed spring that joins them is released. How fast does the heavier cart roll compared with lighter cart
A major artery with a cross-sectional area of 1.00cm2 branches into 18 smaller arteries, By what factor is the average velocity of the blood reduced when it passes into these branches
At what angle do the equipotentials intersect the edge of the conduction paper? why? Hint: the electric current flow at any point is in the direction of any directly proportional to the electric field vector.
An electron starts from rest 32.5 cm from a fixed point charge with Q=-0.125 µC. How fast will the electron be moving when it is very far away
The mass of a star is 1.75·1031 kg and it performs one rotation in 37.3 days. Find its new period (in /days) if the diameter suddenly shrinks
A dinoflagellate takes 5.2 s to travel 0.6 mm. Approximate a dinoflagellate as a sphere of radius 35.0 µm (ignoring the flagellum). What is the drag force on the dinoflagellate in seawater of viscosity 0.0009 Pa · s?
A typical adult human lung contains about 310 million tiny cavities called alveoli. Estimate the average diameter of a single alveolus
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