Create a program using a Matlab script file that calculates the force exerted by one celestial body on another as a function of distance. (Use Newtons law of universal gravitation, F = Gm₁m₂/r², where the gravitational constant, G, is 6.673x10^-11 N m²/kg².) All numerical values should be represented as variables with appropriate names. (Do not do calculations with the literal numbers, but rather define variables and use them in the calculations). The program should prompt a user at the command window for the masses of the two bodies and the range of distances of interest. (Do not expect the user to know matlab syntax like how to define a vector; instead, your program should expect input of only simple scalar values.) The program's output to the command window should be a neat table with distances in column 1 and forces in column 2, along with appropriate user interface messaging. Use the appropriate commands and formatting so that all numbers are printed to 4 significant digits.

Apply your program to find the force the moon exerts on the earth for 10 distances between 3.8x10⁸ m and 4.0x10⁸ m. (The mass of the earth is approximately 6.0x10²⁴ kg and the mass of the moon is approximately 7.4x10²²kg.)