Answer to Question #187157 in C++ for samii

Question

Write a C++ program to calculate time dilation (t) in motion, when the speed of the moving objects (v) is given by the user. The given below is the equation to calculate the time dilation.

t = t₀ /squreroot 1-v²/c²

v = speed of the moving object, c = 15000 ms-¹(speed of light), and t₀ = 75 s (time in observers own frame of reference)

·      User may insert a speed of the moving objects (v) above 60 ms^-1 and below 75 ms^-1 as the highest Speed.

·      Consider the speed of light (c) as a constant value.

·      Then the program should calculate the time dilation (t) for each speed of the moving object until the speed becomes 59 ms^-1.

·      Use the necessary header files to do the calculation.

output

Enter the speed of the object :67

67 8.66034

66 8.66034

65 8.66034

64 8.66033

63 8.66033

62 8.66033

61 8.66033

60 8.66032

Answer 1

#include <iostream>
#include <math.h>
using namespace std;
int main(){
    float t0 = 75, t, v, c = 15000;
    
    cout<<"Input the speed of the object: ";
    cin>>v;


    while(v < 60 || v > 75){
        cout<<"Speed is beyond acceptable limits. Enter speed again: ";
        cin>>v;
    }


    while(v >= 60){
        t = t0 / pow(1 - pow(v, 2) / pow(c, 2), 0.5);
        cout<<v<<" "<<t<<endl;
        v--;
    }


    return 0;
}