How much energy will be necessary for making a body of 500 kg escape from the earth $[g = 9.8\,m/{s^2}$, radius of earth $ = 6.4 \times {10^6}\,m]$
How much energy will be necessary for making a body of 500 kg escape from the earth $[g = 9.8\,m/{s^2}$, radius of earth $ = 6.4 \times {10^6}\,m]$
About $9.8 \times {10^6}\,J$
About $6.4 \times {10^8}\,J$
About $3.1 \times {10^{10}}\,J$
About $27.4 \times {10^{12}}\,J$
How much energy will be necessary for making a body of 500 kg escape from the earth $[g = 9.8\,m/{s^2}$, radius of earth $ = 6.4 \times {10^6}\,m]$
Potential energy of a body at the surface of earth $PE = - \frac{{GMm}}{R} = - \frac{{g{R^2}m}}{R} = - mgR$
$= - 500 \times 9.8 \times 6.4 \times {10^6} = - 3.1 \times {10^{10}}J$
So if we give this amount of energy in the form of kinetic energy then body escape from the earth.
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