For a free particle

Q: Dive deeper into fiber-optic communication. Explain the principles of light propagation in optical…

A: Fiber-optic communication is a revolutionary method of transmitting information that employs the use…

Q: Problem 4.181 The vector sum of the forces acting on the beam is zero, and the sum of the moments…

A: force Ax = -346 N, Ay = 47.6 N, B = 152 N, F = 400 N Find: Sum of moments about point B

Q: Consider a closed triangular box resting within a horizontal electric field of magnitude E-6.86 x 10…

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Q: A charge of 2.50 C passes through a pocket calculator's solar cells in 7.50 h. What is the power…

A: ,,

Q: A 5.19 kg ball is attached to the top of a vertical pole with a 2.41 m length of massless string.…

A: Draw the free-body diagram of the ball.

Q: An elevator car has two equal masses attached to the ceiling as shown. (Assume m = T₁ II m T₂ m (a)…

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Q: The electric potential at points in an xy plane is given by V = (1.70 V/m²)x² -(3.00 V/m²)y². What…

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Q: The three ropes in the figure (Figure 1) are tied to a small, very light ring. Two of these ropes…

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Q: If a measurement of the width of a table comes out to be 50 cm and you can tell that the maximum…

A: So we have given that the width of table is 50 cm and the maximum error in the measurement is 0.5…

Q: A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the…

A: Given:The initial velocity of the object is 12 m/s.The angle of projection is 20o.The acceleration…

Q: What is the magitude of the force?

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Q: 7. *C5-45: An object with a mass of 2.00 kg is pushed straight upward by a 25.0 N vertical force.…

A: 7.Mass, m = 2 kgForce, F = 25 N (upward) Acceleration due to gravity, a = ?

Q: how do i find the time it takes a ball to go 20 m up a hill with a 18 percent incline

A: Draw the free-body diagram of the ball.

Q: An electron is ejected horizontally at a speed of 1.5 x 10^6 m/s (the green v in the diagram) from…

A: Speed of ejected electron v=1.5×106 m/s Screen distance d=35 cm =0.35 m

Q: When a field goal kicker kicks a football as hard as he can at 45.0 degrees to the horizontal, the…

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Q: 4. *C5-40: In the following figure, the horizontal surface on which this block slides is…

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Q: A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 5.60 s. During the…

A: The mass of the toy is,The final speed of the car is,Time taken by a car is,The value of…

Q: The plates of a parallel-plate capacitor have a separation of 3.78 mm, and each has an area of 12.7…

A: Solution:Given:ε0 = permittivity of free space = 8.85 x 10-12 F/m  d = separation between the plates…

Q: explanations of every step. a b) d e) units. solve the following engineering physics problems with…

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Q: throw a baseball across the backyard: describe its motion after it has left my hand a. constant non…

A: A baseball is thrown across the backyard.We need to describe its motion after it left the hand.

Q: experimental components

A: Vector A makes an angle of 40 degree.

Q: If you go on vacation down to the Florida Keys, the North Star (aka Polaris) located near the North…

A: When you travel south from the Northern Hemisphere to the Florida Keys, your latitude decreases,…

Q: (a) A sphere made of rubber has a density of 0.940 g/cm³ and a radius of 8.00 cm. It falls through…

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Q: A person has a near point of NP = 55 cm and a far point of FP = 120 cm. The person wishes to obtain…

A: Near point(NP) = 55cm,far point of FP = 120cm,distance(d) = 1.5cm from eyesAccording to the lens…

Q: The figure below shows three motion diagrams, where the dots indicate the positions of an object…

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Q: A block of mass 2.05 kg is accelerated across a rough surface by a rope passing over a pulley, as…

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Q: motorcycle starts at t = 0 from rest at x = 0 (the origin) and moves along a straight path (x-axis)…

A: Acceleration a1 = +2.8 m/s2 accelkeration in second case a2

Q: A nonconducting spherical shell, with an inner radius of 5.6 cm and an outer radius of 8.5 cm, has…

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Q: A ball is rolled horizontally off a table with an initial speed of 0.24 m/s. A stopwatch measures…

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Q: # 2) Use Newton's Second Law Analysis to solve the following problem. Two masses, m₁ and m2, are…

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Q: I have a glass containing 300 g of water at 65 °C. If I add 100 g of ice to it at -10 °C, find its…

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Q: Q1) There are two cars. Car A moves at a constant velocity Va m/s. Car B moves at a constant…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: While driving down a straight road at 70.5 km/h, you pass your physics professor who happens to be…

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Q: 8. *C5-49: A baseball catcher is performing a stunt for a television commercial. He will catch a…

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Q: I need help with this practice problem. I was given the answer key but I don't understand how to…

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Q: you want to go by train from Los Angeles to New York, you must make a stop. First, you must travel…

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Q: A force is found to be 172 g cm/s². Convert this value into units of newtons. N

A: The force is 172 g.cm/s2.Introduction:Force is a push or a pull that changes or tends to change the…

Q: Part A In which direction should he paddle in order to travel straight across the harbor? Express…

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Q: A horse is running across a field. The horse accelerates at 2.00 m/s2 over a distance of 6.70 m. It…

A: Given data:Here, a is the acceleration, S is the distance, and v is the final speed.

Q: A mule is harnessed to a sled having a mass of 226 kg, including supplies. The mule must exert a…

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Q: 2D Kinematics: A rocket is fired vertically upward with an initial velocity of 80 m/s. It…

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Q: A 10 g marble is in a 1-D box of 10 cm. Assuming infinitely hard walls, (a) find its permitted…

A: GivenThe mass of marble, m=10 g = 0.010 kgDimension of box, L=10 cm = 0.10 mSpeed of marble, v=30…

Q: A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at…

A: Charge on conducting sphere q1 = +6uCcharge on hollow sphere q2 = +6uC

Q: Solve where they will meet in an equation.

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Q: A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and…

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Q: ball is released at a height of h=2.70 m on a frictionless 30.0o slope. At the bottom, it turns…

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Q: Let A = 4î - 2ĵ, B = −3î +53, and Ē=2Ã + 3B. Part A Write vector E in component form. Express your…

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Q: A ball thrown horizontally at 12.1 m/s from the roof of a building lands 21.6 m from the base of the…

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Q: A thin rod lies on the z-axis with one end at -A and the other end at A, as shown in the diagram. A…

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Q: Figure (a) shows three plastic sheets that are large, parallel, and uniformly charged. Figure (b)…

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Connection formulae for WKB approximation

In quantum mechanics, Schrödinger’s equation for certain systems with varying parameters cannot be solved directly. In such a case, an approximation method is used to obtain the approximate solution. WKB method is a special technique used to obtain the approximate solution for Schrödinger’s time-independent equation. In general, the WKB method is used to solve linear differential equations with varying coefficients. This method is called semiclassical approximation in quantum mechanics.