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For a system of fermions at room temperature, compute the probability of a single-particle state being occupied if its energy is
Calculate the potential and kinetic energies and total energy at the end of each second of free fall and at the moment of impact.
Calculate the divergence and curl of the vector field F(x,y,z) = 2xi+3yj+4zk.
Use the result from part (a) to find the expectation value for X and the expectation value for X^2 for a classical particle in such a well.
A Hooke's law spring is mounted horizontally over a frictionless surface. The spring is then compressed a distance d and is used to launch a mass.
A uniformly charged straight wire of radius a carries linear charge density( lambda). The wire is coated with a linear dielectric material of susceptibility
Find a formula for the temperature of an Einstein solid in the limit q«N. Solve for the energy as a function of temperature.
A certain string on a piano is tuned to produce middle C (f = 261.63 Hz) by carefully adjusting the tension is the string.
Consider a simple plane pendulum consisting of a mass m connected to a string of length L.
Determine the shape assumed by the surface of a liquid being spun in a circular bowl at constant angular velocity, W.
Relative to the ground, what is the gravitational potential energy of a 55.0 kg person who is at the top of the Sears Tower, a height of 443 m above the ground?
A possible means of space flight is to place a perfectly reflecting aluminized sheet into Earth's orbit and use the light from the Sun to push this solar sail.
A particle is under the influence of a force F = -kx+(kx^3)/a^3 where k and a are constants and k is positive.
A 5-g block oscillates in SHM with maximum speed 0.567 m/s, while the maximum acceleration is 4.81 m/s2. What is the maximum displacement?
Hail bounces off the roof of the car with a velocity of +15 m/s. Ignoring the weight of the hailstones, what is the force exerted by the hail on the roof.
A single-phase transformer is rated 100kVA, 2200:440 volts. When carrying rated current with the low voltage terminals short-circuited, the input power
The magnetic circuit shown in figure below is built up of solid iron cross section, 1x1cm2. Each air gap is 1 mm wide.
A Chinook Salmon has a maximum underwater speed of 3.58 m/s, but it can jump out of water with a speed of 6.37 m/s.
Consider two infinite parallel plane conducting plates, of finite thickness, with separation d. Suppose a charge density is placed on one plate
An air-track glider with an initial speed of 4.0 m/s has a head-on collision with another glider at rest that is three times as massive.
A particle mass m is released from rest a distance b from a fixed origin of force that attracts the particle according to the inverse square law
A dish of lasagna is being heated in a microwave oven. The effective area of the lasagna that is exposed to the microwaves is 1.6 10-2 m2.
The filament of a light bulb has a temperature of 3.1 103 °C and radiates 70 watts of power.
Prove that the first order energy correction vanishes for all n = odd integer excited state levels.
Find the total energy of the first particle before the collision. Find the speed of the first particle before the collision.