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Suppose cos(ax) solves the Schrödinger Equation for a particle in one dimension.
a) From cos(ax) determine mathematically the kinetic energy as a function of position.
b) Explain mathematically how the total energy varies with 1/a, the wavelength of the function.
A person carries a long pole of mass 10kg and length 3.40 m at the angle of 60 degrees. Find the magnitude of the torque on the pole by reason of gravity.
The ac generator in a series RCL circuit has an rms voltage of 114 V. The values of the resistance, capacitive reactance, and inductive reactance are, respectively, R = 30.0 Ω, XC = 50.0 Ω, and XL =90.0 Ω. What is the rms current in the circuit?
A 900 kg car travelling east at 15 m/s collides with 750 kg travelling north at 20 m/s. what is the speed of the wreckage
How does air resistance alter the way we perceive falling objects and is the force acting on a massive object larger than that acting on a less massive one? How can you verify this without taking any measurements?
Consider a two lens system with focal length +10 and +5 separated with 12 cm. locate the image of an object 50 cm from the +10 cm lens. What is its magnification? Is the image real or virtual?
A point charge q1 = -2.3 x 10^ -6 C is located at the origin of a co-ordinate system. Another point charge q2 = 6.3 x 10^-6 C is located along the x-axis at a distance x2 = 6.1 cm from q1. 1) What is F12,x, the value of the x-component of the forc..
Gayle runs at a speed of 4m/s and dives on a sled, initially at rest on the top of a frictionless snow covered hill. After she has descended a vertical distance of 5m, her brother.
A block M1 of mass 12.7 kg sits on top of a larger block M2 of mass 18.7 kg which sits on a flat surface. Find the magnitude of the acceleration of the upper block
An AC source with an output rms voltage of 34.5 V at a frequency of 60.0 Hz is connected across a 10.2-µF capacitor. Find the maximum current in the circuit
A light bulb is wired in series with a 119- resistor, and they are connectedacross a 120.0-V source. The power delivered to the light bulb is22.3 W. What is the resistance of the light bulb? There are twopossible answers. Give the larger of the two.
A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 2.5 seconds after being hit. What is the initial velocity of the ball in the y direction
A car carrying a 77-kg test dummy crashed into a wall at 27m/s and is brought to rest in 0.1 s. demonstrate that the average force exerted by the seat belt on the dummy is 18,760N.
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