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
KIM [24]
3 years ago
11

A 1000 kg satellite and a 2000 kg satellite follow exactly the same orbit around the earth. What is the ratio F1/F2 of the gravi

tational force on the first satellite to that on the second satellite? What is the ratio a1/a2 of the acceleration of the first satellite to that of the second satellite?
Physics
1 answer:
Tamiku [17]3 years ago
4 0

Answer:

the <em>ratio F1/F2 = 1/2</em>

the <em>ratio a1/a2 = 1</em>

Explanation:

The force that both satellites experience is:

F1 = G M_e m1 / r²       and

F2 = G M_e m2 / r²

where

  • m1 is the mass of satellite 1
  • m2 is the mass of satellite 2
  • r is the orbital radius
  • M_e is the mass of Earth

Therefore,

F1/F2 = [G M_e m1 / r²] / [G M_e m2 / r²]

F1/F2 = [G M_e m1 / r²] × [r² / G M_e m2]

F1/F2 = m1/m2

F1/F2 = 1000/2000

<em>F1/F2 = 1/2</em>

The other force that the two satellites experience is the centripetal force. Therefore,

F1c = m1 v² / r    and

F2c = m2 v² / r

where

  • m1 is the mass of satellite 1
  • m2 is the mass of satellite 2
  • v is the orbital velocity
  • r is the orbital velocity

Thus,

a1 = v² / r ⇒ v² = r a1    and

a2 = v² / r ⇒ v² = r a2

Therefore,

F1c = m1 a1 r / r = m1 a1

F2c = m2 a2 r / r = m2 a2

In order for the satellites to stay in orbit, the gravitational force must equal the centripetal force. Thus,

F1 = F1c

G M_e m1 / r² = m1 a1

a1 = G M_e / r²

also

a2 = G M_e / r²

Thus,

a1/a2 = [G M_e / r²] / [G M_e / r²]

<em>a1/a2 = 1</em>

You might be interested in
Match the term with the appropriate image
Tamiku [17]

First figure shows the object position

Second shows the image position

Third shows the focal length.

8 0
3 years ago
What do velocity and acceleration have in common?
Allushta [10]
Acceleration is the change in velocity
8 0
3 years ago
Read 2 more answers
What is the next step if the data from an investigation do not support the original hypothesis? A. The data are revised to suppo
Leno4ka [110]
I believe the answer is D. <span>The hypothesis is revised and another experiment is conducted.</span>
5 0
3 years ago
Read 2 more answers
As speed increases, how does the potential, kinetic, and total energy levels change?
Anastaziya [24]
Potential equals kenecric at the bottom so potential would also increas
4 0
3 years ago
Psi communication refers to the transfer of information through a/an ________ process.
shtirl [24]

Answer:

unknown

Explanation:

Psi communication: The term "Psi communication" was initially originated in an article named 'Mass Communication and Para-Social Interaction' during 1956 by Donald Horton, and is also denoted as "parasocial interaction". It is described as a phenomenon that involves "one-sided interaction" between people, encompassing the viewer knowing a specific celebrity well whereas the viewer himself or herself is being completely unknown for the celebrity in return.

In the question above, the given statement represents that the Psi communication is responsible for transforming via an unknown process as one of its members are considered as unknown of the transfer, so the correct answer would be "unknown process".

4 0
3 years ago
Other questions:
  • A car traveled 1025 km from El Paso to Dallas iin 13.5 hr. What was its average velocity
    6·1 answer
  • the lenses in a students eyes have arefractive power of 52. 0 diopters when she is able to focus on the board if the distance be
    7·1 answer
  • Physical Science Pre-Test 2020-2021 Question: 1-10 The distance between Earth and the Moon was determined by measuring the time
    7·1 answer
  • Need help on this please
    14·2 answers
  • How can we drop eggs the fewest amount of times without breaking it?​
    12·1 answer
  • Convert 15*c in Fahrenheit
    11·2 answers
  • In any ecosystem_______, are the point of entry for new energy
    11·2 answers
  • Which of the following was used to provide the oldest measurement of Earth's age?
    15·1 answer
  • Cómo crees que la actividad física mejora tu salud mental​
    9·1 answer
  • What happens to the resistance of two resistors when connected in series​ circuit
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!