Simulation of Nuclear Decay Gaming Project in C++

#include <iostream>
#include <cmath>
#include <iomanip>

class NuclearDecaySimulator {
private:
    double initialAmount; // Initial amount of the substance
    double decayConstant; // Decay constant (lambda)
    double timeStep;      // Time step for the simulation

public:
    // Constructor
    NuclearDecaySimulator(double initialAmount, double decayConstant, double timeStep)
        : initialAmount(initialAmount), decayConstant(decayConstant), timeStep(timeStep) {}

    // Function to simulate decay over time
    void simulate(double totalTime) const {
        int steps = static_cast<int>(totalTime / timeStep);
        double currentAmount = initialAmount;

        std::cout << "Time\tAmount Remaining\n";
        std::cout << "--------------------------\n";

        for (int i = 0; i <= steps; ++i) {
            double time = i * timeStep;
            currentAmount = initialAmount * exp(-decayConstant * time);
            std::cout << std::fixed << std::setprecision(2) << time << "\t" << currentAmount << "\n";
        }
    }
};

int main() {
    double initialAmount, decayConstant, timeStep, totalTime;

    // Input parameters
    std::cout << "Enter the initial amount of the substance: ";
    std::cin >> initialAmount;
    std::cout << "Enter the decay constant (lambda): ";
    std::cin >> decayConstant;
    std::cout << "Enter the time step for the simulation: ";
    std::cin >> timeStep;
    std::cout << "Enter the total time for the simulation: ";
    std::cin >> totalTime;

    // Create a simulator object
    NuclearDecaySimulator simulator(initialAmount, decayConstant, timeStep);

    // Run the simulation
    simulator.simulate(totalTime);

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip>

class NuclearDecaySimulator {

private:

double initialAmount; // Initial amount of the substance

double decayConstant; // Decay constant (lambda)

double timeStep; // Time step for the simulation

public:

// Constructor

NuclearDecaySimulator(double initialAmount, double decayConstant, double timeStep)

: initialAmount(initialAmount), decayConstant(decayConstant), timeStep(timeStep) {}

// Function to simulate decay over time

void simulate(double totalTime) const {

int steps = static_cast<int>(totalTime / timeStep);

double currentAmount = initialAmount;

std::cout << "Time\tAmount Remaining\n";

std::cout << "--------------------------\n";

for (int i = 0; i <= steps; ++i) {

double time = i * timeStep;

currentAmount = initialAmount * exp(-decayConstant * time);

std::cout << std::fixed << std::setprecision(2) << time << "\t" << currentAmount << "\n";

}

};

int main() {

double initialAmount, decayConstant, timeStep, totalTime;

// Input parameters

std::cout << "Enter the initial amount of the substance: ";

std::cin >> initialAmount;

std::cout << "Enter the decay constant (lambda): ";

std::cin >> decayConstant;

std::cout << "Enter the time step for the simulation: ";

std::cin >> timeStep;

std::cout << "Enter the total time for the simulation: ";

std::cin >> totalTime;

// Create a simulator object

NuclearDecaySimulator simulator(initialAmount, decayConstant, timeStep);

// Run the simulation

simulator.simulate(totalTime);

return 0;

}

Explanation

Class Definition:
- NuclearDecaySimulator class holds the parameters for the simulation: initialAmount (the initial quantity of the substance), decayConstant (the decay rate), and timeStep (the granularity of time steps in the simulation).
Constructor:
- Initializes the parameters of the simulation.
simulate Method:
- Computes and displays the amount of substance remaining over time.
- Uses the formula $N_0 \cdot e^{-\lambda t}$ , where $N (t)$ is the amount remaining at time $t$ , $N_0$ is the initial amount, and $λ\lambda$ is the decay constant.
Main Function:
- Prompts the user to input the parameters.
- Creates a NuclearDecaySimulator object with the user-provided parameters.
- Calls the simulate method to display the decay simulation results.

Simulation of Nuclear Decay Gaming Project in C++

Explanation

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