Question

The key to making a concise mathematical definition of escape velocity is to consider the energy. If an object is launched at its escape velocity, what is the total mechanical energy Etotal of the object at a very large (i.e., infinite) distance from the planet

Answer 1

Answer:

Zero

Explanation:

Total energy of the EARTH  is the sum total of the all the kinetic and the gravitation potential energy of the earth.

Which can be written as

$E_{total} = KE+U$

$= \frac{1}{2}mv^2+ \frac{GMm}{R}$

At very large distances the kinetic as well as the gravitational potential energies become zero.

therefore, E_total= 0