The masses and radii of earth and moon are m1,r1 and m2,r2 respectively. Their centres are a distance d apart. Find the minimum speed with which a particle should be projected from a point midway between the two centres so as to escape infinity.
Answers
Answered by
8
The law of conservation of energy:= + = stant
where
= ²/ 2 is kinetic energy,
= mass
=speed
= − is potential energy
= distance to the center of second body.
so
-1/ / 2 − 2/ /2 + ²/2 = 0 + 0 + 0
²= (4 /) (1 + 2 )
take under root
= √ 4 / (1 + 2 )
where
= ²/ 2 is kinetic energy,
= mass
=speed
= − is potential energy
= distance to the center of second body.
so
-1/ / 2 − 2/ /2 + ²/2 = 0 + 0 + 0
²= (4 /) (1 + 2 )
take under root
= √ 4 / (1 + 2 )
Answered by
29
Explanation:
The masses and radii of earth and moon are m1,r1 and m2,r2 respectively. Their centres are a distance d apart. Find the minimum speed with which a particle should be projected from a point midway between the two centres so as to escape infinity.
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