Question 441: Gravitation

Question

With what velocity should a particle be projected so that its height becomes equal to radius of earth?

Accepted Answer

Using $${v^2} = {{2gh} \over {1 + {h \over R}}}$$ and given h = R
$$ 	herefore $$ $$v = \sqrt {gR}  = \sqrt {{{GM} \over R}} $$

Answer

$${\left( {{{GM} \over R}} \right)^{1/2}}$$

Answer

$${\left( {{{8GM} \over R}} \right)^{1/2}}$$

Answer

$${\left( {{{2GM} \over R}} \right)^{1/2}}$$

Answer

$${\left( {{{4GM} \over R}} \right)^{1/2}}$$

Gravitation