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
vladimir2022 [97]
3 years ago
5

A particle of mass m moves under an attractive central force F(r) = -Kr4 with angular momentum L. For what energy will the motio

n be circular, and what is the radius of the circle? Find the frequency of radial oscillations in the particle is given a small radial impulse.

Physics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

Angular velocity is same as frequency of oscillation in this case.

ω = \sqrt{\frac{7K}{m} } x [\frac{L^{2}}{mK}]^{3/14}

Explanation:

- write the equation F(r) = -Kr^{4} with angular momentum <em>L</em>

- Get the necessary centripetal acceleration with radius r₀ and make r₀ the subject.

- Write the energy of the orbit in relative to r = 0, and solve for "E".

- Find the second derivative of effective potential to calculate the frequency of small radial oscillations. This is the effective spring constant.

- Solve for effective potential

- ω = \sqrt{\frac{7K}{m} } x [\frac{L^{2}}{mK}]^{3/14}

You might be interested in
How does gravity affect our solar system?
Lina20 [59]
The attraction of an object to something else with mass. What is the solar 
system? The solar system is the alignment of planets around the sun. All the planets are in orbit around the sun. Our Solar System There are also Asteroids, comets, moons, and other forms of matter throughout space So What is the major role of gravity in our solar system? Holding Everything In Place. Without gravity a lot of things
<span>would go wrong. If there was no gravitational force on planets, people would float off into the sky.</span>
5 0
2 years ago
Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east. what is her di
andreev551 [17]

Jennifer runs 5 miles east, then stops to take a break. after her break, she continues running 4 more miles east.

In this the total distance she covers is 9 miles and the total displacement is also the same as the distance that is 9 miles.

<h3>What is the difference between distance and displacement?</h3>

Displacement is the shortest distance between initial and final position, or we can say it is the straight-line distance between initial and final position.

Whereas distance is considered as the total path length covered from initial position till the final position. The Displacement of a body is always less than or equal to the distance.

Displacement can be zero in case the initial and final positions coincide, but distance can never be zero.

To know more about distance and displacement, visit:

brainly.com/question/3243551

#SPJ4

7 0
2 years ago
A student drops a rubber ball onto a surface. Assume that this is a closed system. The ball bounces, but each successive bounce
spayn [35]
I would say D.) The ball bounces many times suggesting the energy is used up efficiently
5 0
2 years ago
Read 2 more answers
As 390 g of hot milk cools in a mug it transfers 30 000 j of heat to the environment. whats is the temperature change of the mil
Fed [463]
You have to use the specific heat equation. 

Q = cmΔT where Q is the energy, c is specific heat, m is mass, and ΔT is change in temp.

So we can substitute our variables into the equation.

30000J = (390g)(3.9J*g/C)ΔT

Solving for ΔT, we get:

30000J/[(390g)*(3.9J*g/C) = ΔT

ΔT = 19.72386588C

I'm assuming the temperature is C, since it was not specified.

Hope this helps!
8 0
3 years ago
True or False: A 24 year old motorcycle driver would not be required to wear protective eyewear when riding in Florida.
n200080 [17]
False people should always wear gear
6 0
3 years ago
Read 2 more answers
Other questions:
  • What formula relates mass volume and density?
    11·1 answer
  • Newton's universal law of gravitation says that every object exerts a force on another object. The shuttle has a gravitational f
    9·1 answer
  • A ray of light contains two colors: red with wavelength of 660 nm and blue with wavelength 470 nm. The ray passes through two na
    11·1 answer
  • Which of these statements suggests that the orbital period of Venus is shorter than that of Saturn?
    7·1 answer
  • Answer and mark you as brainliest <br> it's that easy
    7·2 answers
  • If an atom has seven electrons how many are in the second shell?
    15·2 answers
  • The vectors of the magnetic field around a long, straight, current-carrying wire are:
    10·2 answers
  • Come play among us with me the code is MTZTFF
    8·2 answers
  • A cylinder is filled with a liquid of density d upto a height h. If the beaker is at rest ,then the mean pressure on the wall is
    8·1 answer
  • Question :
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!