For the following problems, analyze the problem in terms of input and output (use common sense to decide which values are input, which are output and which are constants), and develop an algorithm to solve the problem. Write your algorithm in Fortran. (a) Compute and display the period of an oscillating pendulum T (in seconds) as given by the equation T = 271 9 where L is the length of the pendulum (in metres), and g is acceleration due to gravity (in metres per second squared). (b) The potential energy (EP) of an object due to its height above the Earth's surface is given by Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above the surface. Th: kinetic energy (EK) of an object in motion is given by mi where m is the mass of the object and v is the object's velocity. Compute and display the total energy of an object, given by the sum of its potential and kinetic energy. Use a conditional statement to enforce a reasonable range of applicability of the formula