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In a classical harmonic oscillator, a particle with energy E moves (oscillates) in the "classically allowed region": \(|x| <= \sqrt{\frac{2E} m\omega^{2}}}\)
the amplitude of the oscillation. Find the probability (evaluate the probability numerically to four significant digits) that the particle in the ground state of the quantum harmonic oscillator is outside of the classically allowed region for a particle with equal energy.
Hint: look up the "error function"erf(x), and/or the "complimentary error function" cerf(x).
In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that gets hot when turned on. The wire has a length of 2.2 m when it is uncoiled. What current does the wire carry
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A chipmunk scampers about collecting in its cheeks safflower seeds that the birds dropped from the feeder hanging overhead. Initially the little creature is at position vector r1x = 2.45 m and r1y = -2.13 m. After filling up, it runs to the hole a..
A 270 m wide river flows due east at a uniform speed of 2.30 m/s. A boat with the speed of 8.4 m/s relative to water leaves the south bank pointed in a direction 38o west of north. What is (a) magnitude and (b) direction of the boat's velocity rel..
A centrifuge whose maximum rotation rate is 11,000 rev/min can be brought to rest in 3.00 s. What is the average angular acceleration of the centrifuge
Explain why do we place guards over capacitors and where does the guard voltage come into play when using an analogue L-C meter to probe the capacitance?
What is the response to the Naturalist concept that human personality, thought, and emotion are purely chemical and electrical reactions.
A sailboat on the ocean has a mast of height 18.5 m. When viewed through a pair of binoculars the mast has an angular size of 0.065 rad. compute the distance between the observer and the sailboat
A 1.36 103-kg car traveling initially with a speed of 20.0 m/s in an easterly direction crashes into the rear end of a 9.00 103-kg truck moving in the same direction at 15.0 m/s. How much mechanical energy is lost in the collision
A 11.0 kg monkey starts to climb a long rope to reach a banana located at a height of 6.50 m, Calculate the least amount of time the monkey could take to reach the banana without breaking the rope
An 10m, 210N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.55, and the ladder makes a 50° angle with the ground. How far up the ladder can an 850N person climb before ladder b..
Calculate P necessary to just start opening the 2 m wide gate.
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