A) The potential energy (U) of an object of mass m at a distanceR from the center of the earth can be expressed as, U= -GMm/R.Where is the reference location of potential energy and what is thevalue of potential energy at that reference location?
B) Write a math expression of total mechanical energy for anobject of mass m and escape velocity Vesc at the earth'ssurface.
C) What is the total mechanical energy of an object of mass mwhen it reaches at infinity with zero velocity.
D) Derive an expression for escape velocity using your answer inpart b and c and calculate it. Mass of earth is 6 * 10^24 kg,radius of the earth is 6.4 * 10^6 m and G= 6.67 * 10^-11N.m^2/kg.
