On November 9, 1921, Albert Einstein, one of the greatest scientists of the 20 century, was awarded the Nobel prize. One of his most well known achievements is his famous formula E = mc^2 which describes the total energy E of a body with mass m; here, c is the speed of light (approximately 300,000 km/s = 3*10^8 m/s). If particular, in metric (SI) units, if you take m in kg and c is m/s, then you get the energy in joules.
1a. Write a method named energy for computing the value mc^2 for two given real numbers m and c.
1b. Call (invoke) your method energy in the main method to compute the energy of a mass m = 1 kg. Assume that c = 3*10^8 m/s. (You do not need to write the entire main method, just the part that assigns values to m and c and calls your method.)
1c. Trace, step by step, how the computer will perform the needed computations, and check that the result is indeed correct (should be 9*10^16 joules).
2a. Define a class Bodies whose elements are bodies; each body is characterized by its mass (in kg) and the speed of light (in m/s). Your class should contain a constructor method, accessor methods, mutator methods, and a method for computing the total energy (in joules).
2b. Use your class in the main method to define a new object "textbook" of type Bodies with mass 1 kg and speed of light 3*10^8 m/s. Compute and print this body's energy; then, make this same body twice heavier, and compute and print the new value of energy.
2c. Trace your program step-by-step.
3a. Write a piece of code that, given an array m of masses of different bodies and the value c of the speed of light, computes and prints the energy of different bodies.
3b. To check the correctness of the code you wrote in Part 3a, write a piece of code that defines a new array m consisting of 2 elements of type double and assigns, to elements of this array, values 1.0 and 0.0.
3c. Trace step-by-step how the piece of code you wrote in Part 3a will compute the corresponding energies. Hint: the energies are equal to 9*10^16 and 0 joules.
4a. Write a method that, given an array m of masses, finds the mass of the heaviest body.
4b. To check the correctness of your method, write a piece of code that defines a new array textbooks consisting of 3 elements of type double and assigns, to elements of this array, values 1.0, 0.5, and 2.0.
4c. Trace step-by-step how the piece of code you wrote in Part 4a will compute the largest element of this array. Hint: the desired largest element is element No. 2, its mass is max(1.0, 0.5, 2.0) = 2.0.
5. Name main GUI components, and briefly explain their use.