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#include <iostream>
#include <cmath>
using namespace std;
int main ()
{
int w = 1;
double gamma;
double gammaA;
double gammaB;
double beta;
double betaSQ;
double C = 299792458;
double CSQ = 89875517873681764;
double Gc = 6.67384 / 100000000000;
double Ge = 9.78;
double G;
double V;
double Va;
double Vb;
double VSQ;
double VCU;
double Vstr;
double Vend;
double length;
double M;
double Mr;
double Mn;
double A;
double F;
double T;
double Ep;
double Em;
double Ek;
double Et;
double x;
double y;
double z;
double a;
double b;
double c;
while (w == 1){
cout << "all variables are metric (meters, seconds, newtons, kilograms, joules) \n";
cout << "relative 1 or newtonian 2 \n";
cin >> y;
if (y == 1){
cout << "solve for gamma 1, beta 2, gravity 3, mass 4, acceleration 5, force 6, time 7, mass energy 8, kinetic energy 9, total energy 10 \n";
cin >> x;
if (x == 1) {
cout << "input beta \n";
cin >> beta;
betaSQ = beta * beta;
gammaA = 1 - betaSQ;
gammaB = sqrt(gammaA);
gamma = 1 / gammaB;
cout << "\ngamma is " << gamma;
}
else if (x == 2) {
cout << "input velocity \n";
cin >> V;
beta = V / C;
cout << "\nbeta is " << beta;
}
else if (x == 3) {
}
else if (x == 4) {
cout << "rest mass 1 or moving mass 2 \n";
cin >> z;
if (z == 1) {
cout << "mass energy 1 or total energy 2 \n";
cin >> a;
if (a == 1) {
cout << "input mass energy \n";
cin >> Em;
Mn = Em / CSQ;
cout << "\nthe rest mass is " << Mn;
}
else {
cout << "input total energy \n";
cin >> Et;
cout << "\ninput gamma \n";
cin >> gamma;
cout << "\ninput velocity \n";
cin >> velocity;
Em = (Et / gamma) / V;
Mn = Em / CSQ;
cout << "\nthe rest mass is " << Mn;
}
}
else {
}
}
else if (x == 5) {
}
else if (x == 6) {
}
else if (x == 7) {
}
else if (x == 8) {
cout << "input rest mass \n";
cin >> Mn;
Em = M * CSQ;
cout << "\nthe mass energy is " << CSQ;
}
else if (x == 9) {
cout << "input gamma \n";
cin >> gamma;
cout << "\ninput rest mass \n";
cin >> Mn;
cout << "\ninput V \n";
cin >> V;
Em = Mn * CSQ;
Et = Em * gamma * V;
Ek = Et - Em;
cout << "\nthe kinetic energy is " << Ek;
}
else {
cout << "input gamma \n";
cin >> gamma;
cout << "\ninput rest mass \n";
cin >> Mn;
cout << "\ninput velocity \n";
cin >> V;
Em = Mn * CSQ;
Et = Em * gamma * V;
cout << "\nthe total energy is " << Et;
}
}
else {
cout << "solve for velocity 1, mass 2, acceleration 3, force 4, time 5, kinetic energy 6, gravity 7 \n";
cin >> x;
if (x == 1) {
cout << "timed acceleration 1 or kinetic energy and mass 2 \n";
cin >> z;
if (z == 1) {
cout << "input time \n";
cin >> T;
cout << "\ninput acceleration \n";
cin >> A;
V = A * T;
cout << "\nthe velocity is " << V;
}
else {
cout << "input mass \n";
cin >> M;
cout << "\ninput kinetic energy \n";
cin >> Ek;
Va = Ek / M;
Vb = Va * 2;
V = sqrt (Vb);
cout << "\nthe velocity is " << V;
}
}
else if (x == 2) {
cout << "input kinetic energy \n";
cin >> Ek;
cout << "\ninput velocity \n";
cin >> V;
VSQ = V * V;
M = Ek * 2 / VSQ;
cout << "\nthe mass is " << M;
}
else if (x == 3) {
cout << "input force \n";
cin >> F;
cout << "\ninput mass \n";
cin >> M;
A = F / M;
cout << "\nthe acceleration is " << A;
}
else if (x == 4) {
cout << "input mass \n";
cin >> M;
cout << "\ninput acceleration \n";
cin >> A;
F = M * A;
cout << "\nthe force is " << F;
}
else if (x == 5) {
cout << "input acceleration \n";
cin >> A;
cout << "\ninput start velocity \n";
cin >> Vstr;
cout << "\ninput velocity end \n";
cin >> Vend;
V = Vend - Vstr;
T = A / V;
cout << "\nthe time is " << T;
}
else if (x == 6) {
cout << "input velocity \n";
cin >> V;
cout << "\ninput mass \n";
cin >> M;
VSQ = V * V;
Ek = VSQ * M / 2;
cout << "\nthe kinetic energy is " << Ek;
}
else {
cout << "graitational force 1, potential energy 2, or acceleration 3 \n";
cin >> z;
if (z == 1) {
cout << "\ninput mass \n";
cin >> M;
cout << "\ninput other mass \n";
cin >> Mn;
cout << "\ninput distance \n";
cin >> length;
G = M * Mn * Gc / (length * length);
cout << "\nthe gravitational force is " << G;
}
else if (z == 2) {
cout << "\ntotal potential energy 1, lengthed/timed fall 2, or lengthed/timed fall on earth 3 \n";
cin >> a;
if (a == 1) {
}
else if (a == 2) {
cout << "\n potential energy 1, end veloctiy 2, or average veloctiy 3 \n";
cin >> b;
if (b == 1) {
cout << "\ninput gravitation \n";
cin >> G;
cout << "\ninput fall length \n";
cin >> length;
cout << "\ninput mass \n";
cin >> M;
Ep = G * length * M;
cout << "\nthe potential energy is " << Ep;
}
else if (b == 2) {
cout << "\ntime 1 or length 2 \n";
cin >> c;
if (c == 1) {
cout << "\ninput fall time \n";
cin >> T;
cout << "\ninput gravitation \n";
cin >> G;
length = G * T * T / 2;
Ep = G * length;
VSQ = Ep * 2;
V = sqrt(VSQ);
cout << "\nthe end velocity is " << V;
}
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