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# Computational Physics

Computational physics is the study of numerical algorithms to solve physics problems in which quantitative theory already exists. Computerized mathematical models provide predictions on how systems will behave. This was the first application of computers in science.

In absence of computers, certain mathematical models cannot be solved. For instance, when quantitate theory does not have a closed-form expression or the calculations are too complicated for human calculations, numerical approximations are required. Computational physics is used to find the approximate solution and respective error for numerical algorithms.

Computational physics can be used for a wide range of problems and is therefore divided into categories amongst the different mathematical problems it solves. The mathematical problems computational physics can solve are: protein structure predictions, matrix eigenvalue problems in quantum physics, partial differential equations, simulating physical systems, ordinary differential equations and integration.

The areas in which computational physics can be applied are vast. It is currently being used in, astrophysics, lattice field theory, accelerator physics, fluid mechanics, solid state physics, plasma physics and soft condensed matter physics.

### Friction: Basic questions

1 Observe and Find a Pattern Examine the data in the table that follows: Mass of the block Surface area Quality of surfaces Maximum static friction force 1 kg 0.1 m2 Medium smooth 3.1 N 1 kg 0.2 m2 Medium smooth 3.0 N 1 kg 0.3 m2

### Magnetic Fields in a Conducting Wire

7. A conducting metal rod 1.0 cm in diameter carries 500-A current distributed uniformly over its cross section. Using Ampere's law (a) find the magnetic field strength 0.25 cm from its axis (b) Find the B field strength at the rod's surface. (c) Find the B field at a distance 10-cm away from the center.

### Estimating the Electric Field

A non-conducting solid sphere with diameter of d = 40 cm carries 100 μC electric charges, which are distributed uniformly throughout its volume. Using Gauss's law a) Find the electric field strength 10 cm from the sphere's center E (r = 10 cm) b) Find the electric field strength 20 cm from the sphere's center E (r =

### Electric potential and electric field of two and three charges

Please help with the following problems. 1. In the figure, two charges q1=+3.0uC and q2=-2.0uC are separated by 6.0cm. a. Find the electric forces exerted on each other (magnitude and direction) b. Find the electric field from point P, which id 4.0cm to the right q2 (megnitude and direction). c. Find the positions along t

### The Magnitude of an Electric Field

Three +3.0 μC point charges are at the three corners of a square 0.50 m. The last corner is occupied by a -3.0 C charge. Find the magnitude of the electric field at the corner of the square. (k = 1/4 πε0 = 8.99 x 109 N m2/C2.

### Computational Physics - Conservation of energy

When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by 12 mv2. (a) Use the work-energy theorem to show that the distance over which the force acts is mv2/2F. Am I on the right track? UGH so very frustrated! Kinetic energy = 1/2 mass x speed2 KE = 1/

### Satellite around the Earth

The International Space Station (ISS) orbits Earth about 400 km above the surface of Earth (NASA.gov). Using the concepts of circular motion and gravitational forces learned in this module; explain the following in your own words: Why does the space station not fall down? Why do the astronauts float inside the space

### Modern physics: photon energies, wavelengths, oscillators, etc.

2An atom of mass 2.66 ✕ 10-26 kg oscillates in one dimension at a frequency of 0.60 ✕ 1013 Hz. What is its effective force constant? What are its quantized energy levels? 3. A H2 molecule can be approximated by a simple harmonic oscillator having a spring constant k = 1.1 ✕ 103 N/m. (a) How many different energ

### Basic Physics of Mass, Heat, Balance Equations, Waves and pH

1. If an object has a mass of 1.0 Kg, what is it's weight on Jupiter with 2.5 times the gravitational force as on earth? 2. What net force is necessary to accelerate a 1000-Kg space probe 8m/s2? 3. How much heat that must be added to raise the temperature of a cup of coffee (250g) from 25.5ºC to 95.6ºC. Assume that the

### Math and Computational physics programming in MATLAB

MATLAB - - Must be programmed and scripted as MATLAB file. Please return with attached .m file. See attached file for full problem description.

### Computational Methods for Classical Kinematics

-----> Suppose that you are standing at 40 degrees latitude and are 2 meters tall. [A]. Find the velocity of your feet, v, due to the rotation of Earth. Assume that Earth is a perfect sphere of radius R=6378km and that a day is exactly 24 hours long. [B]. Using the result from part A, compute the centripetal accelerati

### Numerical Representation & Errors - Write Effective Algorithm

See attachments for case study and complete questions. ...there exists a double series representation {see attachment}. This double series converges slowly, and it contains many small terms whose joint effect may be big. Your task is to write an effective algorithm to calculate the values of w(p,s) for any given {see attachme