Two planets, each of mass M and radius R are positioned (at rest)...

Two planets, each of mass

M

and radius

R

are positioned (at rest) in space, with their centres a distance 4 R apart. You wish to fire a projectile from the surface of one planet to the other. The minimum initial speed for which this may be possible is

Options

A $\sqrt{\frac{2 G M}{5 R}}$
B $\sqrt{\frac{2 G M}{3 R}}$
C $\sqrt{\frac{4 G M}{3 R}}$
D $\sqrt{\frac{3 G M}{2 R}}$

Correct answer

B. $\sqrt{\frac{2 G M}{3 R}}$

Step-by-step solution

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