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
lions [1.4K]
3 years ago
14

Astronomers observe two separate solar systems each consisting of a planet orbiting a sun. The two orbits are circular and have

the same radius R. It is determined that the planets have angular momenta of the same magnitude L about their suns, and that the orbital periods are in the ratio of three to one; i.e., T1 = 3T2. The ratio m1/m2 of the masses of the two planets is
(A) 1
(C) (3)^1/2
(C) 2
(D) 3
(E) 9
Physics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

(D) 3

Explanation:

The angular momentum is given by:

\vec{L}=\vec{r}\ X \ \vec{p}

Thus, the magnitude of the angular momenta of both solar systems are given by:

L_1=Rm_1v_1=Rm_1(\omega R)=R^2m_1(\frac{2\pi}{T_1})=2\pi R^2\frac{m_1}{T_1}\\\\L_2=Rm_2v_2=2\pi R^2\frac{m_2}{T_2}

where we have taken that both systems has the same radius.

By taking into account that T1=3T2, we have

L_1=2\pi R^2\frac{m_1}{3T_2}=\frac{1}{3}2\pi R^2\frac{1}{T_2}m_1=\frac{1}{3}\frac{L_2}{m_2}m_1

but L1=L2=L:

L=\frac{1}{3}L\frac{m_1}{m_2}\\\\\frac{m_1}{m_2}=3

Hence, the answer is (D) 3

HOPE THIS HELPS!!

You might be interested in
What is another name for the introitus? psych 230?
Vera_Pavlovna [14]
Vaginal opening. areola is the part of the breast.
7 0
3 years ago
How easy is it to die in quick sand (I know the answer to this one too i just want to see who understands)
matrenka [14]
There have been 580 cases!! Wow
8 0
3 years ago
Read 2 more answers
You wrap a wire around a piece of iron. If you slowly increase the strength of an electric current flowing through the wire, you
Maksim231197 [3]
The correct answer is A. the magnet to become stronger

The stronger the electric current in the piece of metal, the stronger the magnetic field will be.
4 0
3 years ago
Read 2 more answers
Over 4 seconds, a car's momentum decreases by 1000 kg m/s how much force did it take to make this happen?
kotykmax [81]

Answer:

250N

Explanation:

Given parameters:

Time  = 4s

Momentum  = 1000kgm/s

Unknown:

Force  = ?

Solution:

To solve this problem, we use Newton's second law of motion;

      Ft  = Momentum

F is the force

t is the time

So;

          F x 4 = 1000kgm/s

          F  = 250N

6 0
3 years ago
Do anyone k ow the answers?
OLga [1]
Hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
7 0
3 years ago
Other questions:
  • Which of the following is the best name for CaF 2 ?
    10·1 answer
  • Sound waves move the most slowly through
    9·2 answers
  • Earthquakes along the subduction zones near Sumatra and Chile are some of the strongest in
    15·1 answer
  • What is the difference between condensation and conduction
    5·1 answer
  • Five reneweable energy resources are wind, sunlight, moving water and geothermal energy.
    14·2 answers
  • A straight, stiff, horizontal wire of length 46 cm and mass 20 g is connected to a source of emf by light, flexible leads. A mag
    10·1 answer
  • Book sliding across a frictionless table would never stop moving, even though there is
    11·1 answer
  • Sand particles carried by wind can grind against the surface of rocks. This is called _____. abrasion hydrolysis oxidation depos
    9·2 answers
  • A bouncing ball has the greatest amount of ___________ energy at the top of its bounce.
    6·2 answers
  • Which experiment proved light was a wave?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!