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
vova2212 [387]
3 years ago
6

When hung from an ideal spring with spring constant k = 1.5 N/m, it bounces up and down with some frequency ω, if you stop the b

ouncing and let it swing from side to side through a small angle, the frequency of the pendulum is half the bounce frequency ω/2. What is the length of the un–stretched spring l =? Note ω should not be part of your answer.
Physics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

L = ¼ k g / m

Explanation:

This is an interesting exercise, in the first case the spring bounces under its own weight and in the second it oscillates under its own weight.

The first case angular velocity, spring mass system is

    w₁² = k / m

The second case the angular velocity is

    w₂² = L / g

They tell us

    w₂ = ½ w₁

Let's replace and calculate

     √ (L / g) = ½ √ (k / m)

      L / g = ¼ k / m

       

      L = ¼ k g / m

You might be interested in
A person is sitting with one leg outstretched and stationary, so that it makes an angle of θ = 27.5° with the horizontal, as the
dangina [55]

here we will use the torque balance about the knee joint

here we can say that

\tau_g = \tau_m

here torque due to weight is given as

\tau_g = 40.1 cos\theta*(l_1 + l_2)

\tau_g = 40.1 cos27.5*(0.105 + 0.150)

\tau_g = 9.07 Nm

now torque due to applied force of muscle

\tau_m = M*sin\alpha * l_1

\tau_m = M*sin30* 0.105

now by torque balance we will have

9.07 = M*0.5*0.105

M = 173 N

so here the magnitude of m will be 173 N

7 0
2 years ago
A train is travelling at 15m/s. It accelerates at 3m/s² for 20 seconds. How far does the train travel in this time?
Fittoniya [83]

Answer:

Explanation:

The answer is 900m

4 0
3 years ago
The energy of microwaves is less than the energy of ultraviolet light. Which comparison of the energies of
adell [148]

Answer:

A. Gamma rays have higher energy than microwaves because gamma rays have shorter wavelengths.

Explanation:

Electromagnetic waves are waves produced by the interaction between both magnetic and electric fields. These waves have some properties that make them to be arranged in a definite form producing an electromagnetic spectrum.

The spectrum has a general property of which as the wavelength of the waves increases, the frequency decreases. And vice versa.

Thus, the energy of the waves increases as the frequency increases.

Gamma rays have higher frequency, but shorter wavelength. While microwaves has lower frequency, but higher wavelength.

8 0
2 years ago
Read 2 more answers
Which of the following is a physical property?
coldgirl [10]
Flammability, I think!
6 0
3 years ago
Read 2 more answers
How much time does it take a rhino running at 40 m/s to run 250 m?​
lions [1.4K]

Answer:

Rhinoceroses are odd-toed ungulates native to sub-Saharan Africa and southern Asia, though all five living species have hugely contracted in range and number due to the influence of humans. Despite their titanic, tank-like bulk, rhinos can be amazingly swift: The fastest may reach at least 50 kilometers per hour (31 mph).

Explanation:

sana makatulong

8 0
3 years ago
Other questions:
  • Ingrid kicks a football with an initial velocity at 12 m/s at an angle of 45 relative to the ground
    14·1 answer
  • A tennis ball traveling horizontally at a speed of 40 m/s hits a wall and rebounds in the opposite direction. The time Interval
    14·1 answer
  • A patient is administered 20 mg of iodine-131. How much of this isotope will remain in the body after 40 days if the half-life f
    9·1 answer
  • A ball is shot from the ground into the air. At a height of 9.1 m, the velocity is observed to be v = (7.6 + 6.7 ) m/s, with hor
    5·1 answer
  • 2. A man in a hot air balloon drops his “five guy's hamburger” over the edge of the basket. The
    14·1 answer
  • Turn this scentence to repirted speach.<br><br>i ate icecream<br>She said that..........​
    9·2 answers
  • According to Aristotle, how fast do heavy objects fall compared to light objects?
    12·1 answer
  • What is the role of enzymes in the digestion of food
    13·2 answers
  • Force Problem: Four concurrent forces are applied to a 5 Kg mass: 50 N North, 25 N East, 35 N South, and 35 N West.
    13·1 answer
  • Joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!