Physics Answers

Find the ground-state electron energy by substituting the radial wave function, 𝑅(𝑟)= 2𝑎𝑜3/2𝑒−𝑟𝑎𝑜⁄ that corresponds to 𝑛 = 1,𝑙 = 0, into radial equation for hydrogen atom.

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Solve the following problems.

1. The x-coordinates of an object at time t = 1.00 s and t = 4.00 s are 3.00 m and 5.00 m respectively. Calculate the average velocity of the object on the time interval t = 1.00 s to 4.00 s. Construct and interpret the position-time graph, velocity-time graph and acceleration-time graph.

1. A particle of mass m is repelled from the origin by a force f= k/x3, where x is the distance from the origin. Solve the equation of motion, if the particle is initially at rest at a distance x0 from the origin. 

One-dimensional crystal assembled from three identical atoms connected to one another and to the walls by identical springs . Find the normal modes of the given system. Plot the relative displacements versus time for all three normal modes.

there are three masses (m) each . connected by by four springs of constant k . each mass is connected with two springs , and end springs are connecting the wall and the mass(m)

1. first mass is displaced by x1 , second x2 , third x3 at initial condition.

A thin disk of radius r rolls back and forth in a spherical dish of radius R without slipping. Use energy considerations to show that the motion is simple harmonic for small displacements of the thin disk from its equilibrium position and deduce an expression for the period of the oscillations. 

A plank 15, c, m,

15cm wide and 1, point, 5, m,

1.5m long is laid across a muddy path. What will be the pressure on the mud when I stand on the plank? (670 N)

The gravitational force between two objects is 200 N when they are at a distance of 5m. Find the gravitational force between them when they are at a distance of 250 cm

A simple pendulum has a period of 512s. When the length is shorten by 2m, it’s period is 128s. Calculate the original length of the pendulum

An object moving in a straight line at constant speed A resultant force begins to act upon the object state the way in which the force may change the motion of object

You have a closed pipe which resonates it’s first harmonic when the pipe is .23m long.  What is the wavelength and frequency of the tuning form at 343m/s?