answer.
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
pav-90 [236]
2 years ago
9

What mass needs to be attached to a spring with a force constant of 7N/m in order to make a simple harmonic oscillator oscillate

with a time period of 3s
Physics
1 answer:
Alex_Xolod [135]2 years ago
6 0

Answer:

Mass will be 4.437 kg

Explanation:

We have given force constant k = 7 N/m

Time period of oscillation T = 5 sec

So angular frequency \omega =\frac{2\pi }{T}=\frac{2\times 3.14}{5}=1.256rad/sec

We know that angular frequency is given by

\omega =\sqrt{\frac{k}{m}}

1.256 =\sqrt{\frac{7}{m}}

Squaring both side

1.577 =\frac{7}{m}

m = 4.437 kg

You might be interested in
Experiments using "optical tweezers" measure the elasticity of individual DNA molecules. For small enough changes in length, the
GalinKa [24]

Answer:

Spring constant, k = 0.3 N/m

Explanation:

It is given that,

Force acting on DNA molecule, F=1.5\ nN=1.5\times 10^{-9}\ N

The molecule got stretched by 5 nm, x=5\times 10^{-9}\ m

Let k is the spring constant of that DNA molecule. It can be calculated using the Hooke's law. It says that the force acting on the spring is directly proportional to the distance as :

F=-kx

k=\dfrac{F}{x}

k=\dfrac{1.5\times 10^{-9}\ N}{5\times 10^{-9}\ m}

k = 0.3 N/m

So, the spring constant of the DNA molecule is 0.3 N/m. Hence, this is the required solution.

8 0
2 years ago
The leaning tower of Pisa is about 56 meters tall. A ball released from the top takes 3.4 seconds to reach the ground. The final
geniusboy [140]
S=56, u=0, v=33, a=?, t=3.4

v=u+at
33=3.4 a
a = 9.7m/s^2
7 0
2 years ago
Read 2 more answers
You hear the engine roaring on a race car at the starting line. Predict the changes in the sound as the race starts and the car
gogolik [260]

B. The sound of the engine will get louder and the pitch higher.

4 0
2 years ago
Read 2 more answers
A wave has a frequency of 15,500 Hz and a wavelength of 0.20 m. What is the
Hoochie [10]

Answer:

3100 m/s

Explanation:

The relationship between frequency and wavelength of a wave is given by the wave equation:

v=f\lambda

where

v is the speed of the wave

f is its frequency

\lambda is the wavelength

For the wave in this problem,

f = 15,500 Hz

\lambda=0.20 m

Therefore, the wave speed is

v=(15500)(0.20)=3100 m/s

4 0
2 years ago
A large fraction of the ultraviolet (UV) radiation coming from the sun is absorbed by the atmosphere. The main UV absorber in ou
irakobra [83]

Answer:

λ = 3.2 x 10⁻⁷ m = 320 nm

Explanation:

The relationship between the velocity of electromagnetic waves (UV rays) and the their frequency is:

v = fλ

where,

v = c = speed of the electromagnetic waves (UV rays) = speed of light

c = 3 x 10⁸ m/s

f = frequency of the electromagnetic waves (UV rays) = 9.38 x 10¹⁴ Hz

λ = wavelength of the electromagnetic waves (UV rays) = ?

Therefore, substituting the values in the relation, we get:

3 x 10⁸ m/s = (9.38 x 10¹⁴ Hz)(λ)

λ = (3 x 10⁸ m/s)/(9.38 x 10¹⁴ Hz)

<u>λ = 3.2 x 10⁻⁷ m = 320 nm</u>

So, the radiation of <u>320 nm</u> wavelength is absorbed by Ozone.

3 0
2 years ago
Read 2 more answers
Other questions:
  • What are you calculating when you measure the disorder of a system?
    13·2 answers
  • What is the speed of a beam of electrons when the simultaneous influence of an electric field of 1.56×104v/m and a magnetic fiel
    8·1 answer
  • Assume that the cart is free to roll without friction and that the coefficient of static friction between the block and the cart
    15·2 answers
  • In the photoelectric effect, the greater the frequency of the illuminating light, the greater the:_______
    7·1 answer
  • A cylinder has 500 cm3 of water. After a mass of 100 grams of sand is poured into the cylinder and all air bubbles are removed b
    8·1 answer
  • Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertica
    15·1 answer
  • a block of mass m slides along a frictionless track with speed vm. It collides with a stationary block of mass M. Find an expres
    11·1 answer
  • Find the intensity in decibels [i(db)] for each value of i. normal conversation: i = 106i0 i(db) = power saw a 3 feet: i = 1011i
    15·2 answers
  • Think about it: suppose a meteorite collided head-on with mars and becomes buried under mars's surface. what would be the elasti
    6·1 answer
  • 6) A map in a ship’s log gives directions to the location of a buried treasure. The starting location is an old oak tree. Accord
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!