A) The potential energy (U) of an object of mass m at a distance R from...

A) The potential energy (U) of an object of mass m at a distance R from the center of the earth can be expressed as, U= -GMm/R. Where is the reference location of potential energy and what is the value of potential energy at that reference location?

B) Write a math expression of total mechanical energy for an object of mass m and escape velocity Vesc at the earth's surface.

C) What is the total mechanical energy of an object of mass m when it reaches at infinity with zero velocity.

D) Derive an expression for escape velocity using your answer in part 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^-11 N.m^2/kg.

Expert Solution

genius_generous answered 8 months ago

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