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3 years ago

12

Two stars of masses M and 6M are separated by a distance D. Determine the distance (measured from M) to a point at which the net

gravitational force on a third mass would be zero.

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

0.29D

Explanation:

Given that

F = G M m / r2

F = GM(6m) / (D-r)2

G Mm/r2 = GM(6m) / (D-r)2

1/r2 = 6 / (D-r)2

r = D / (Ö6 + 1)

r = 0.29 D

See diagram in attached file

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