The masses and radii of the earth and moon are ${M_1},\,{R_1}$ and ${M_2},\,{R_2}$ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is

Question

Accepted Answer

$2\sqrt {\frac{G}{d}({M_1} + {M_2})}$

Answer

$2\sqrt {\frac{{2G}}{d}({M_1} + {M_2})}$

Answer

$2\sqrt {\frac{{Gm}}{d}({M_1} + {M_2})}$

Answer

$2\sqrt {\frac{{Gm({M_1} + {M_2})}}{{d({R_1} + {R_2})}}}$

Gravitation

Question: The masses and radii of the earth and moon are ${M_1},\,{R_1}$ and ${M_2},\,{R_2}$ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is

Gravitation

Question: The masses and radii of the earth and moon are ${M_1},\,{R_1}$ and ${M_2},\,{R_2}$ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is

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