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Suppose we have a "half harmonic oscillator" potential, forexample, exactly half of a parabolic potential on the right of the"center" and infinitely high potential barrier to the left of the center. Compared to the normal harmonic oscillator, what are the (normalized) energy eigenfunctions and eigenvalues? (hint: there isvery little to solve, just requires thought)
1. a ship has a top speed of 3.0 ms in calm water. the current of the ocean tends to push the boat at 2.0 ms on a
a 0.25kg block is placed on a light vertical spring k5 x 103nm and pushed downwards compressing the spring and
You are standing on a platform and you throw a 5kg ball horizontally with a speed of 10m/s. Find the time it takes the ball to hit the ground
A penny of mass 3.10 g rests on a small 22.40 g block supported by a spinning disk of radius 11 cm. The coefficients of friction between block and disk are 0.715 (static) and 0.64 (kinetic) while those for the penny and block are 0.564 (static) an..
Consider two points charges held fixed at locations along the x-axis. Charge q1= 5.00mC is located at x1= 1.00m. Charge q2= -5.00 mC is located at x2=4.00m. calculate the magnitude and direction of the electrostatic force
an electron moving with a velocity of 2.7 x106 ms in the positive x direction enters a region where there is a uniform
While Voyager 2 sent back pictures of Neptune during its historic flyby of that planet in 1989, the spacecraft's radio signals travelled for 4 hours at the speed of light to reach Earth. How far away was the spacecraft.
The Mars rover was deployed on the surface of Mars in July 1997. At one point during its subsequent mission, How far was Mars from the from Earth at that time
A Pyrex flask in a refrigerator at 1?C is filled to the top and holds exactly 1000 cm3 of ethyl alcohol. If the refrigerator fails, how much alcohol spills by the time the temperature reaches 28?C
use the biot savart to compute the magnetic field at the center of a matalic ring. the ring has a radius of 10^-6 m, compute the magnetic field at the center of the ring
a golf club strikes a 0.059 kg golf ball in order to launch it from the tee. For simplicity assume that the average net force applied to the ball acts parallel to the ball's motion, With what speed does the ball leave the club
At a dock, a crane lifts a 2094 kg container 14 m, swings it out over the deck of a freighter, and lowers the container into the hold of the freighter, How much work is done by the crane on the container?
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