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
Usimov [2.4K]
3 years ago
5

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from l

argest to smallest.
m = 2 kg , k = 2 N/m

m = 2 kg , k = 4 N/m

m = 4 kg , k = 2 N/m

m = 1 kg , k = 4 N/m
Physics
2 answers:
liubo4ka [24]3 years ago
4 0

The periods of oscillation for the mass–spring systems from largest to smallest is:

  1. m = 4 kg , k = 2 N/m (T = 8.89 s)
  2. m = 2 kg , k = 2 N/m (T = 6.28 s)
  3. m = 2 kg , k = 4 N/m (T = 4.44 s)
  4. m = 1 kg , k = 4 N/m (T = 3.14 s)
<h3>Explanation:</h3>

The period of oscillation in a simple harmonic motion is defined as the following formulation:

T=2\pi \sqrt{\frac{m}{k} }

Where:

T = period of oscillation

m = inertia mass of the oscillating body

k = spring constant

m = 2 kg , k = 2 N/m

T=2\pi \sqrt{\frac{2}{2} }

T=2\pi

T = 6.28 s

m = 2 kg , k = 4 N/m

T=2\pi \sqrt{\frac{2}{4} }

T=2\pi \sqrt{\frac{1}{2} }

T = 4.44 s

m = 4 kg , k = 2 N/m

T=2\pi \sqrt{\frac{4}{2} }

T=2\pi \sqrt{2 }

T = 8.89 s

m = 1 kg , k = 4 N/m

T=2\pi \sqrt{\frac{1}{4} }

T=\pi

T = 3.14 s

Therefore the rank the periods of oscillation for the mass–spring systems from largest to smallest is:

  1. m = 4 kg , k = 2 N/m (T = 8.89 s)
  2. m = 2 kg , k = 2 N/m (T = 6.28 s)
  3. m = 2 kg , k = 4 N/m (T = 4.44 s)
  4. m = 1 kg , k = 4 N/m (T = 3.14 s)

Learn more about simple harmonic motion brainly.com/question/13058166

#LearnWithBrainly

kakasveta [241]3 years ago
4 0

Answer:

System 3:

m = 4 kg , k = 2 N/m

T=8.89s

System 1

m = 2 kg , k = 2 N/m

T=6.28s

System 2:

m = 2 kg , k = 4 N/m

T=4.44s

System 4:

m = 1 kg , k = 4 N/m

T=3.14s

Explanation:

The period of oscillation in a simple harmonic motion is defined by:

T=2\pi \sqrt{\frac{m}{k} }

Where:

T=Period\hspace{3}of\hspace{3}oscillation\\m=Inertial\hspace{3}mass\hspace{3}of\hspace{3}the\hspace{3}oscillating\hspace{3}body\\k= Spring\hspace{3}constant

Now, let:

T_1=Period\hspace{3}of\hspace{3}oscillation\hspace{3}associated\hspace{3}to\hspace{3}system\hspace{3}1\\T_2=Period\hspace{3}of\hspace{3}oscillation\hspace{3}associated\hspace{3}to\hspace{3}system\hspace{3}2\\T_3=Period\hspace{3}of\hspace{3}oscillation\hspace{3}associated\hspace{3}to\hspace{3}system\hspace{3}3\\T_4=Period\hspace{3}of\hspace{3}oscillation\hspace{3}associated\hspace{3}to\hspace{3}system\hspace{3}4

For T_1 :

T_1=2\pi \sqrt{\frac{2}{2} } =2\pi\approx6.28s

For T_2 :

T_2=2\pi \sqrt{\frac{2}{4} } \approx4.44s

For T_3 :

T_3=2\pi \sqrt{\frac{4}{2} } \approx8.89s

For T_4 :

T_4=2\pi \sqrt{\frac{1}{4} } =\pi\approx3.14s

Therefore:

T_3>T_1>T_2>T_4

You might be interested in
A battery has a potential resistance of 12 V and a current of 1280 mA. What is the resistance? PLS HELP ME ASAPPPPPPPPPP
Romashka-Z-Leto [24]

Resistance (R) = <u>9.375 ohm (Ω)</u>

Steps:

R =   \frac{V}{I}

=    \frac{12 \: volt}{1280 \:  milliampere}

=  \frac{12 \: volt}{1.28 \: ampare}

= 9.375 \: ohm (Ω)

6 0
2 years ago
HOW DO U FEEL WHEN U PLAY OR WATCH BADMINTON?
True [87]

Answer:

I feel exited and happy I enjoy it with my friend

6 0
2 years ago
A student notices that an inflated balloon gets larger when it is warmed by a lamp. Which best describes the mass of the balloon
nirvana33 [79]
It gets larger because
well let me give you an example
so today in class we looked at a lava lamp with wax inside and there was a lightbulb at the bottom.
we watched as the wax floated up because the molecules inside the wax spreads out and makes the wax less dense.
the wax floats up because (which is related to the balloon getting bigger) the wax is getting less dense and the particles get bigger which ALSO makes the wax less dense.
hope this helps and hope you can relate it to your problem! say thanks if I did help AT ALL! :)
7 0
3 years ago
Read 2 more answers
Fruits and vegetables should take up half you plate at a meal.<br> A. <br> True<br> B. <br> False
umka21 [38]

Answer:

A. true

Explanation:

3 0
2 years ago
Read 2 more answers
if a car that is 100 feet in front of you on route 70 west slams on the brakes while you are traveling 65 miles per hour (95 fee
fenix001 [56]

Answer:

t = 1.05 s

Explanation:

Given,

The distance between your vehicle and car, 100 ft

The constant speed of your vehicle, u = 95 ft/s

Since, the velocity is constant, a =0

If the car stopped suddenly, time left for you to hit the brake, t = ?

Using the second equation of motion,

                           S = ut + ½ at²

Substituting the given values in the equation

                           100 = 95 x t

                             t = 100/95

                               = 1.05 s

Hence, the time left for you to hit the brakes and stop before rear ending them, t = 1.05 s

5 0
2 years ago
Other questions:
  • The Earth’s internal __________ source provides the energy for our dynamic planet, providing it with the driving force for on-go
    7·1 answer
  • The spring of a spring gun has force constant k = 400 N/m and negligible mass. The spring is compressed 6.00 cm and a ball with
    11·1 answer
  • A 2-inch, f/6 telescope has a 3-inch eyepiece focal. Its magnifying power is:
    9·1 answer
  • During the first 14 minutes of a 1.0 hour trip, a car has an average speed 36 km/h. What must the average speed in km/h of the c
    11·1 answer
  • •A radioactive material A (decay constant λA) decays into a material B (decay constant λB) and then into material C (decay const
    10·1 answer
  • Using no more than 3 sentences, explain how a motor and generator are related.
    14·1 answer
  • Deduced hydrochloric acid is a strong acid ​
    7·1 answer
  • 35) Kinetic energy in flowing water drives
    11·1 answer
  • Un automovil transita por una curva en forma de U y recorre una distancia de 400m en 30s sin embargo su posición final está a so
    14·1 answer
  • 1<br> Which term below is usually used to measure the displacement of a car motor?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!