The kinetic energy needed to project a body of mass $m$ from the earth surface (radius $R$) to infinity is
$mgR/2$
$2\, mgR$
$mgR$
$mgR/4$
The kinetic energy needed to project a body of mass $m$ from the earth surface (radius $R$) to infinity is
$\frac{1}{2}mv_e^2 = \frac{1}{2}m\,\,2gR = mgR$
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