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12345 [234]
3 years ago
14

For a spacecraft going directly from the Earth to the Moon, beyond what point will lunar gravity begin to dominate? That is, whe

re will the lunar gravitational force be equal in magnitude to the Earth’s gravitational force? Are the astronauts onboard a spacecraft at this point truly weightless?
Social Studies
1 answer:
loris [4]3 years ago
3 0

Answer:

3.46 x 10^8 m

Explanation:

Let the distance from the earth be r, total distance from earth to moon be d,

then distance from the moon to the point of equal gravity= d -r.

Mass of the earth, M_E = 598 x 10^22 kg

Mass of the moon, M_m= 7.36 x 10^22 kg

Distance of the mood from the earth, d = 3.85 x 10^8 m

Force of gravity exerted on a mass, m by the earth,

             F_E = G. M_E×m/r^2

Force of gravity exerted on a mass, m by the moon,

              F_m = G×M_m×m/(d-r)^2

These are equal,  So

 G×M_E.m/r^2 =G×M_m.m/(d-r)^2

     [r/(d - r)]^2=  M_E/M_m

    = 598/7.36 = 81.25

      r/(d - r) = √81.25 = 9.014

      9.014×(d - r) = r

    10.014.r = 9.014 x 3.85 x 108

Hence,    r= 9.014 x 3.85 x 108 /10.014

             = 3.46 x 10^8 m

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Here's the list as given, with numbers showing order:

4. Many Jewish immigrants flee Europe for Palestine.

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Further details/context:

Anti-Semitism was strong in Europe already in the Middle Ages, when Jews were accused of such things as spreading the plague by poisoning wells, or using the blood of murdered Christians to make the matzah for their Passover rituals.  The term "anti-Semitism" as a description for hostile opposition to the Jewish people was first used by Wilhelm Marr in 1879 in Germany.  Marr supported campaigns against Jews and began using the term "anti-Semitism" as a euphemism for what better might have been called "Jew-hating."

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