SIMULATION AND MODELING Using the mid- square method obtain the random variables using Z0= 1009 until the cycle degenerates to zero.
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SIMULATION AND MODELING
Using the mid- square method obtain the random variables using Z0= 1009 until the cycle degenerates to zero.
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- make simulation code pyhon of a system in contact with a thermal reservoir at temperature T, the system is composed of N particles that can be found in two states with zero energy or greater than zero energy. calculate using Monte Carlo method with metropole algorithms to calculate average energy and specific heatA standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6, and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft +6 ft + 3.6 ft = 25.6 ft. Note that the distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height from which the ball is dropped, the bounciness index, and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. Below is an example of the program input and output: Enter the height from which the ball is dropped: 25 Enter the bounciness index of the ball: .5 Enter the number of…A standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6 and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft + 6 ft + 3.6 ft = 25.6 ft. Note that distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height of the ball and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. Please name your function "bounce" that has three arguments (initial height, index, number of bounce) and return the total distance traveled by the ball. (float) Skip the part where users can enter the inputs of…
- standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6, and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft +6 ft + 3.6 ft = 25.6 ft. Note that the distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height from which the ball is dropped, the bounciness index, and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball.Q1/ The ideal gas equation of state is given by: PV = nRT Where: P is the pressure (atm), V is the volume (L), T is the temperature (K), R=0.08206 (L atm)/(mol K) is the gas constant, and n is the number of moles. Real gases, especially at high pressures, deviate from this behavior. Their responses can be modeled with the van der Waals equation: P-- nRT n² a + = 0 V-nb V2 Where a and b are material constants. For CO₂ a 3.5924 L'atm/mol², and b=0.04267 L/mol. Calculate P from both equations for CO₂ gas with 40 values of V between 0.01 and 1.5 and display the results in: 1- Three-column table where the values of Vand both P are displayed in the first, second, and third columns, respectively. 2-Plot V versus both P in two different plots in the same figure with a solid line, black color, with circle marker. Add a title, labels, and the grid to the plot. Make all texts bold with font size of 13. Take T-298K and n-3 moles.Chemical reaction rates are proportional to a rate constant, k, which changes with temperature according to the Arrhenius equation k=k0e-Q/RT For a certain reaction Q = 8,000 cal/mole R = 1.987 cal/mole K k 0 = 1200 min 1 k0=1200min-1 For this question you will need to draw a graph in Matlab for the values of k for temperatures from 100 K to 500 K, in 15-degree increments.
- One side of a coin is selected at random ten times, and each time it's either heads or tails. Is there a limit on the number of outcomes that can have less than four possible outcomes?A voltmeter with an internal resistance of 100 KQ is used to measure the voltage Vab in the circuit shown below, what is the voltmeter reading? 36v R1-12 KQ M 30 18 mA R2=60 kQ R3=15 ΚΩ M + Vab Note: All students are welcomed to solve it, however assignments are mandatory for old students only.e. Using suitable randomization, rotate each plant in......
- Excel’s RAND() function generates a random number (x) such that 0 ≤ x ≤ 1. 0 < x ≤ 1. 0 ≤ x < 1. 0 < x < 1. None of the answer choices is correct.Apply gaussian random walk(walking in a random direction with each step of length 1. i.e. each time at random theta it will walk cos(theta) at x, sin(theta) at y). What is the probability that the walk starting at (0,0) will end at (5,5)? How to simulate it in python?Probability and Statistics Consider the following experiment. You draw a square, of width 1 foot, on the floor. Inside the square, you inscribe a circle of diameter 1 foot. The circle will just fit inside the square. You then throw a dart at the square in such a way that it is equally likely to fall on any point of the square. What is the probability that the dart falls inside the circle? (Think about area!)How might this process be used to estimate the value of π?