An object is kept at rest at a distance of 3R above the earth’s surface where R is earth’s radius. The minimum…

Question

An object is kept at rest at a distance of $3R$ above the earth’s surface where $R$ is earth’s radius. The minimum speed with which it must be projected so that it does not return to earth is: (Assume $M$ = mass of earth, $G$ = Universal gravitational constant)

A
$\sqrt{\frac{GM}{2R}}$
B
$\sqrt{\frac{GM}{R}}$
C
$\sqrt{\frac{3GM}{R}}$
D
$\sqrt{\frac{2GM}{R}}$

Accepted Answer

A. $$\sqrt{\frac{GM}{2R}}$$

Answer

B. $$\sqrt{\frac{GM}{R}}$$

Answer

C. $$\sqrt{\frac{3GM}{R}}$$

Answer

D. $$\sqrt{\frac{2GM}{R}}$$

Answer & step-by-step solution

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