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A particle of mass m is con?ned in a one-dimensional in?nite well: V (x) = 0, if 0 ≤ x ≤ a; V (x) = ∞, if x < 0 or x > a. Its normalized wave function is ψ(x) = sqrt(8/5a)[1 + cos(πx/a)]sin(πx/a) inside the well. (a) Rewrite the wave function in terms of the normalized eigenfunctions: ψ = Σn Anψn. And determine the coe?cients 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?
A wheel rotates about a horizontal axis, as shown in the figure. It has an outer radius R1 = 18.8 cm and mass M1 = 4.51 kg. What is the acceleration of the hanging weight after it is released
A women's high-heeled shoe has an area of 0.5 cm2. Assuming that the woman wearing the shoe has a mass of 52 kg, what is the pressure that the heel exerts on the floor
A spaceship leaves Earth traveling 0.70c. A second spaceship leaves the first at a speed of 0.88c with respect to the first. Calculate the speed (including sign) of the second ship with respect to Earth
Two sqaures of wire like that of above are placed side by side on a table with a distance of 8 cm between the closest sides of the two sqaures, What is the resulting force between the two squares
At the Earth's surface a projectile is launched straight up at a speed of 8.4 km/s. To what height will it rise
In the figure to the left, the pulley (which is in the form of a disk) has a mass of 7.50 kg and a radius of 35 cm. What is the speed of the iron block
A cylindrical capacitor has an inner conductor with a radius of 1.6mm and an outer conductor with a radius of 3.8mm, A cylindrical capacitor has an inner conductor with a radius of 1.6mm and an outer conductor with a radius of 3.8m
A disk of radius 3.00 cm has a uniformly distributed charge of Q = 5.20 uC, Calculate the electric field on the perpendicular axis of disk
A straight filament 7.00 m in length that is uniformly charged has a total positive charge of 2.0 uC, calculate the electric field at the surface of the cylinder and the total electric flux through the cylinder
a man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper , What is the magnitude of the force on the car from the rope
6 - two equal masses of charge 36 nC each are suspended at the end of two 1-m strings of negligible mass, The ropes make and angle of 5 with respect to each other
A swimming pool 2.6 m by 1.0 m has a uniform depth of 2.0 m, What is the absolute pressure at the bottom of the pool
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