1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
How does planned socialization differ from natural socialization?
Vladimir79 [104]
Planned socialization is mostly a human phenomenon all through history, people have been making plans for teaching
7 0
3 years ago
What does government shut down mean in the United States of America? Thank you for the help.
taurus [48]

The shutdown of the United States government ultimately means that important government work is either not being done, done with resentment, or done by people that are not being paid.

While there are those that think the United States government is too large, a shuddering of the Government ultimately means food that is less safer, environment that is more polluted, and a population that is more in danger.

5 0
3 years ago
What reform to voting procedures followed the Panic of 1819?
lesantik [10]
<span>Following the panic of 1819, there were several reforms to voting procedures. The most notable of which is surely the fact that electors would now be decided through the popular vote of citizens. Attention had now been drawn to the fact that better preparations needed to be in place for both debt relief and poor relief.</span>
8 0
3 years ago
What is 0.006 written as a fraction of a percent?
taurus [48]
6/1000 would be a fraction of a percent?
6 0
3 years ago
Baby Henry's mother has given him a cup of juice with a straw from which to drink. Henry becomes frustrated when the juice does
nikitadnepr [17]

Answer:

Baby Henry's mother has given him a cup of juice with a straw from which to drink. Henry becomes frustrated when the juice does not come through the straw, so he removes it in order to suck the juice directly from the cup. In Jean Piaget's framework, Henry is demonstrating: means-end behavior

Explanation:

7 0
3 years ago
Other questions:
  • during the period when arab traders came to West and Central Africa to trade saly for gold, they changed the culture of the regi
    13·2 answers
  • Global warming impacts many things on Earth. Select all of the possible changes that Earth may see if the climate continues to w
    8·1 answer
  • Why do most studies of the historical development of ethics start with plato and aristotle?
    9·1 answer
  • A within-subjects design:_______.
    8·1 answer
  • "which of these familiar sayings is best supported by social psychological research?"
    13·1 answer
  • A. Daylight savings time traditionally starts in the spring and ends in the winter .
    6·1 answer
  • Which Indian tribe merged with the Houma Indian tribe?If knows and I will mark the crown if answer.
    15·2 answers
  • Hedonism is always a self-serving pursuit that does not consider others.
    15·1 answer
  • Due to the cheapness and superiority of iron weapons, armies were able to expand and control territories outside of their own na
    13·1 answer
  • What is the major work of a dentist?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!