Drive a one-dimensional sinusoidal wave of a block-spring system
Drive a one-dimensional sinusoidal wave of a block-spring system
Homework Answers
. The wave function for a one-dimensional system of mass m is ?(x) = Aexp(Lx). What...
. The wave function for a one-dimensional system of mass m is ?(x) = Aexp(Lx). What is the energy for this wave function? A) ?fKh/202/2m B) -B(h/2?)2/2m D) -B2(h/21)2/2m What are the degeneracies of the first, second, and third energy levels (respectively) for a particle in a three-dimensional box? A) 1, 2, 3 B) 1, 3, 1 C) 1, 3, 3 D) 1, 2, 2 E) Cannot be determined
3. A block on a level surface is attached to one end of a spring, as...
3. A block on a level surface is attached to one end of a spring, as shown in the figure above. The other end of the spring is attached to a wall. There is friction between the block and the surface. A person displaces the block from its equilibrium position and releases it. Which of the following shows the mechanical energy E as a function of time t for the system that includes only the block and the system that...
In a one-dimensional system at time t-0, the wave function of a particle is given by...
In a one-dimensional system at time t-0, the wave function of a particle is given by the function xfor 0SxSL 0 elsewhere -A opl as sketched in the diagram, where A is a positive constant. If the position of the particle is measured at time t-0, what is the probability of finding it somewhere in the interval 0 sx S L22 Specify your answer as a fraction or as a decimal correct to 2 significant figures. probability
For this problem, use the system of the spring-Earth-block system, but do not include the wall...
For this problem, use the system of the spring-Earth-block system, but do not include the wall or track in your system A spring (spring constant k) is near the bottom of a frictionless loop-the-loop (radius R). The left end of the spring is secured to an immovable wall. The right end ofthe spring is used to launch a block (mass m) around the loop-the-loop 1. Explain why the track does no work on the block, even though it exerts a...
Physics 2010 Spring 2019 Two- and three-dimensional motion 2. Thelma and Louise drive their car off...
Physics 2010 Spring 2019 Two- and three-dimensional motion 2. Thelma and Louise drive their car off a 50 m high cliff at 60 mph (Do not attempt). (a) Convert this speed to SI units. (b) Write down the "equations of motion" Generally, this means the equations for position, velocity acceleration (all relevant components). Physics 2010 Spring 2019 Two- and three-dimensional motion 2. (continued) (c) How long will it take for the car to hit the ground? (d) How far will...
51 A Block-Spring System A 320-g block connected to a light spring for which the force...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The sys...
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The system has a set of orthonormal energy eigenfunctions (), 2(x),.. with corresponding eigenvalues E, E2, .... Write down the overlap rule for the probability of getting the energy E when the energy is measured at time t 0 (b) Suppose that a system is described by a normalized wave function of the form (,0) an(r), where the an are...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The mass of the block is 14.5 kg. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constant φ=?. a) if the velocity of the block is -2.00 m/s at t= 0.150 s, what is the phase constant? b) determine the acceleration of the block at t = 0.150 s. c) what...
This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction....
This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction. Assume that it is described by a frequency of 61.0 cycles per second, or hertz (Hz). 4.91 cm3.10 cm A sinusoidal wave lies on an unlabeled coordinate system. One of the wave's maxima lies on the vertical axis. The horizontal distance from the first maximum to the first minimum is labeled 3.10 cm and the vertical distance between a maximum and a minimum is...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The blocks mass is 10.0kg. The mass of the spring is negligible. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constantf= 1.35 rad. a) determine the timeit takes for the spring to be compressed 6.50cm after it was released b) determine the acceleration of the black at t = 1.50 s.
. The wave function for a one-dimensional system of mass m is ?(x) = Aexp(Lx). What is the energy for this wave function? A) ?fKh/202/2m B) -B(h/2?)2/2m D) -B2(h/21)2/2m What are the degeneracies of the first, second, and third energy levels (respectively) for a particle in a three-dimensional box? A) 1, 2, 3 B) 1, 3, 1 C) 1, 3, 3 D) 1, 2, 2 E) Cannot be determined
3. A block on a level surface is attached to one end of a spring, as shown in the figure above. The other end of the spring is attached to a wall. There is friction between the block and the surface. A person displaces the block from its equilibrium position and releases it. Which of the following shows the mechanical energy E as a function of time t for the system that includes only the block and the system that...
In a one-dimensional system at time t-0, the wave function of a particle is given by the function xfor 0SxSL 0 elsewhere -A opl as sketched in the diagram, where A is a positive constant. If the position of the particle is measured at time t-0, what is the probability of finding it somewhere in the interval 0 sx S L22 Specify your answer as a fraction or as a decimal correct to 2 significant figures. probability
For this problem, use the system of the spring-Earth-block system, but do not include the wall or track in your system A spring (spring constant k) is near the bottom of a frictionless loop-the-loop (radius R). The left end of the spring is secured to an immovable wall. The right end ofthe spring is used to launch a block (mass m) around the loop-the-loop 1. Explain why the track does no work on the block, even though it exerts a...
Physics 2010 Spring 2019 Two- and three-dimensional motion 2. Thelma and Louise drive their car off a 50 m high cliff at 60 mph (Do not attempt). (a) Convert this speed to SI units. (b) Write down the "equations of motion" Generally, this means the equations for position, velocity acceleration (all relevant components). Physics 2010 Spring 2019 Two- and three-dimensional motion 2. (continued) (c) How long will it take for the car to hit the ground? (d) How far will...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
(a) At time t 0, a one-dimensional bound system is in a state described by the normalized wave function V(r,0). The system has a set of orthonormal energy eigenfunctions (), 2(x),.. with corresponding eigenvalues E, E2, .... Write down the overlap rule for the probability of getting the energy E when the energy is measured at time t 0 (b) Suppose that a system is described by a normalized wave function of the form (,0) an(r), where the an are...
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