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
babymother [125]
4 years ago
6

If the moon orbited twice as far from earth how far would it "fall" each second?

Physics
1 answer:
Kamila [148]4 years ago
5 0

I can't imagine that this is going to do you much good, but
I'm sure going to enjoy solving it.
-------------------------
Skip this whole first section.
It was an attempt to master a bunch of trees, while
the forest was right there in front of me all the time.
Drop down below the double line.
-------------------------

Kepler's 3rd law says:

       (square of the orbital period) / (cube of the orbital radius) = constant

           T₀² = K R₀³

I put the zero subscripts in there, because you doubled 'R'
and I need to know how that affected 'T'.

           new-T² = K(2 R₀)³

           new-T² = 8 K (R₀)³  =  8 old-T₀²

          <u> new-T = √8  old-T</u>     <=== that's what I was after 

I just teased out the Moon's new orbital period if it's distance were doubled.
Instead of 1 month, it's now  √8  months.

To put a somewhat sharper point on it, the moon's period of revolution
changes from  27.322 days to 27.322√8  =  77.278 days (rounded) .

Using 385,000 km for the moon's current average distance, the current orbital speed is
             (2π x 385,000 km) / (27.322 days) = 1,024.7  m/s
(One online source says 1.023 km, so we're not doing too badly so far.)

================================================

I'm such a dummy.  I don't need to go through all of that.

If the moon were twice as far from Earth as it really is, then it would
average 770,000 km instead of the present 385,000 km.

That's 120.86 times the Earth's radius of  6,371 km.

So the acceleration of gravity out there would be

     (1 / 120.86)² of the (9.807 m/s²) that it is here on the surface.

     new-G  =  0.000671  m/s²


  Distance a dropped object falls = 1/2 g t²

                 In the first second, that's  1/2 g (1)² = 1/2 g

For an orbiting object, every second is the "first"second, because ...
as we often explain orbital motion qualitatively ... the Earth "falls away"
just as fast as the curved orbit falls.

Distance an object falls in the 1st second =

             1/2 G  =   0.000336 m/s  =  <em>0.336 millimeter per second</em>

I estimate the probability of a mistake somewhere during this process
at approx 99.99% .  But I don't have anything better right now, and I've
wasted too much time on it already, so I'll stick with it.


You might be interested in
What is background radiation?
IceJOKER [234]
The uniform microwave radiation remaining from the Big Bang 
7 0
3 years ago
How much (in newtons) does a 10.0Kg bag of grass seed weigh
dimulka [17.4K]
Weight is equal to the mass of the object times the acceleration due to gravity (which is 9.8m/s^{2} on earth)

So W=mg
W=10.0 × 9.8 = 98

So the weight is 98N.
3 0
3 years ago
How many meters are in 32 kilometers
lukranit [14]

Answer:

32,000 m

Explanation:

Conversion

1km ===> 1000m

32km===>x

x = (32 × 1000) ÷ 1

5 0
3 years ago
An artificial satellite is moving in a circular orbit of radius 24,600 km. Calculate its speed if it takes 12hours to revolve ar
denis-greek [22]

Answer:

the speed of the satellite is 12,880.53 km/h

Explanation:

Given;

radius of the circular orbit, r = 24,600 km

time taken to revolve around Earth, t = 12 hours

The circumference of the satellite is calculated as;

L = 2πr

L = 2π x 24,600 km

L = 49,200π km

L = 154,566.36 km

The speed of the satellite;

v = L/t

v = 154,566.36 / 12

v = 12,880.53 km/h

Therefore, the speed of the satellite is 12,880.53 km/h

6 0
3 years ago
S a Mountain lion a producer consumer or decomposer
larisa86 [58]
A mountain lion is a consumer it its prey , a decomposer is like a worm
Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Consider an electromagnetic wave where the electric field of an electromagnetic wave is oscillating along the z-axis and the mag
    9·1 answer
  • Someone please help me!
    8·1 answer
  • This is the portion of the electromagnetic spectrum that has a frequency just below the visible spectrum.
    15·2 answers
  • The velocity profile in fully developed laminar flow in a circular pipe of inner radius R 5 2 cm, in m/s, is given by u(r) 5 4(1
    10·1 answer
  • An unbalanced force can cause an object to:
    15·1 answer
  • A 18.4-kg box rests on a frictionless ramp with a 16.1° slope. The mover pulls on a rope attached to the box to pull it up the i
    5·1 answer
  • What is the astronomy made of
    11·1 answer
  • Si tenemos tres cubos del mismo tamaño (hierro, madera e icopor). ¿Qué diferencias puede encontrar entre ellos?
    6·1 answer
  • The animation shows a ball which has been kicked upward at an angle. Run the animation to watch the motion of the ball. Click in
    7·1 answer
  • Monochromatic light passes through two narrow slits 0.23 mm apart and forms an interference pattern on a screen 2.13 m away. If
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!