A spring with a spring constant of 1.8 × 102 n/m is attached to a 1.5 kg mass and then set in motion.

a.what is the period of the mass-spring system?

b.what is the frequency of the vibration

Answers

Answer 1
k = 1.8 x 10^2
m = 1.5kg
T = ?
f =?
T = (2π) sqrt(m/k)
T = (2π) sqrt(1.5/(1.8x 10^2)) = .5732s

F = 1/T
F = 1÷.5732=1.744Hz
Answer 2

Part A: The time period of the mass-spring system is 0.573 seconds.

Part B: The frequency of the vibration of the mass-spring system is 1.75 Hz.

Time Period and Frequency

Given that the mass of the spring is 1.5 kg and the spring constant is 1.8 × 10^2 n/m.

Part A

The period of the mass-spring system is given by the formula.

[tex]T=2\pi\sqrt{\dfrac {m}{k}}[/tex]

Where m is mass and k is spring constant.

Substituting the values in the above equation, we get the time period.

[tex]T = 2 \times 3.14 \times \sqrt{\dfrac {1.5}{ 1.8 \times 10^2}}[/tex]

[tex]T = 0.573 \;\rm s[/tex]

Hence the time period of the mass-spring system is 0.573 seconds.

Part B

The frequency of the vibration is given below.

[tex]f = \dfrac {1}{T}[/tex]

[tex]f = \dfrac {1}{0.573}[/tex]

[tex]f = 1.75 \;\rm Hz[/tex]

Hence the frequency of the vibration of the mass-spring system is 1.75 Hz.

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Related Questions

the image shows an electromagnet made with a 1.5-volt battery how would the magnetic field be affected if you replaced its 1.5-volt battery (on the left) with a 9-volt battery (shown on the right) while using the same nail and coil?

A. The magnetic field strength would increase
B. The magnetic field would not be affected by this change
C. The magnetic field strength would decrease
D. The magnetic field would change direction more frequently

Answers

A.
____________________

The magnetic field strength is directly proportional to the current through the circuit. When the voltage is increased, current also increases, results in a rise in magnetic field strength. Thus, option A is correct.

What is magnetic field?

A magnetic field is the field produced by the magnetic flux or field lines with a magnitude and direction. A magnetic field is always associated with an electric field where, the magnitudes of both field are in direct proportion.

The magnetic field lines will be perpendicular to the electric flux. According to Ohm's law, voltage and current through a circuit are directly proportional to each other.

As the voltage in a circuit is increased, the current through it increases which n turn result in a hike in magnetic field strength. Therefore, when 1.5 volt is changed by 9 volt battery in the circuit, magnetic field strength would increase.

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Whenever a charged particle encounters a magnetic field, the particle tends to spiral around the magnetic field lines. as it does, it emits electromagnetic radiation. radiation produced in this way is called _______. the radiation is nonthermal, which means there is no link between the emission and the temperature of the radiating object. synchrotron radiation?

Answers

The electromagnetic radiation produced when a charged particle moves spirally in a magnetic field is called synchrotron radiation. This phenomenon occurs due to the fact the particle is accelerated radially (due to the presence of the magnetic field), and every charged particle when it is accelerated emits electromagnetic radiation.

The amount of diffraction that a sound wave undergoes depends on

Answers

The amount of diffraction of sound waves depends on the medium the sound wave travels to and the frequency. Diffraction happens as soon as it has been out of the source.

Which parameter of glass is measured with bromoform and bromobenzene mixtures in a column?

Answers

The answer is Density.  The Density of the glass is measured with bromoform and bromobenzene mixtures in a column.  Density measurement is done using Density gradient columns. It is a  temperature-controlled density column containing a mixture of  bromobenzene and  bromoform.

Answer: Density

Explanation:

Density is the parameter which is used for comparision of two doubted to be similar pieces of the glasses in the columns where a specific volume of liquids bromoform and bromobenzene are used. The two glasswares (graduated cylinders) are used in this process along with the liquids. The level at which the glass pieces in the column settles that represent their density. If two pieces of glass are from same source then they will settle at the same level in the column. This method is known as density gradient method.

Which planet has the strongest magnetosphere?

Answers

Jupiter has the strongest magnetosphere
Jupiter. It states that the stronger the magnetic field, the larger the magnetosphere. Some 20,000 times stronger than Earth's magnetic field, Jupiter's magnetic field creates a magnetosphere so large it begins to avert the solar wind almost 3 million kilometers before it reaches Jupiter.

Find the acceleration of a automobile whose speed increases from 10 m/s to 22 m/s in 8 seconds.

Answers

A = change in speed / time
A = 12m/s / 8s
A = 1.5 m/s ^2

Inner planets that are composed mainly of rock and metal are called

Answers

They are known as terrestrial planets. 

what will be the impact of continued water pollution and overuse on humans, and natural ecosystems?

Answers

Sea levels rise due to the melting of the glaciers, caused by Global Warming; More flooding due to the erosion of soil and lack of trees; Water shortage -  we only have a limited supply of fresh drinking water; Disruption of the food chain when the apex predators become extinct; Biodiversity is lost, as whole species of living things disappear due to deforestation; There will be a food shortage as the lands become barren and the oceans become empty of fishes; Pollution will eventually become unmanageable and affect our health; Rising temperatures may be too much for all living things on the planet. 

Which one is the best to measure a tree kilometers,millimeters,liters or meters?

Answers

metres would be best

Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na). B. has a lower atomic mass than the element beryllium (Be). C. has a higher atomic mass than the element calcium (Ca). D. all of these

Answers

Answer:

A  has a higher atomic mass than the element sodium (Na).

Explanation:

Just did the study island :)

Elements are arranged in the periodic table based on various patterns. For example,  the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na). Option A is correct.

What is periodic table ?

The periodic table is an organization of all known elements in order of increasing atomic number and repeating chemical characteristics.

They are organized in a tabular format, with a row representing an era and a column representing a group.

Elements are ordered in increasing atomic number order from left to right and top to bottom.

Elements of the same group will have the same valence electron configuration and, as a result, will have comparable chemical characteristics.

Elements are arranged in the periodic table based on various patterns. For example  the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na).

Hence, option A is correct.

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Does sound travel outside earth's atmosphere in space explain

Answers

On a large scale, no. Sound travels through space by the compression and relaxation of molecules. When you speak to someone on Earth, each inflection of voice compresses local molecules, and relaxes the molecules around the compressed ones. In space, however, the large lack of molecules means that the compression waves can’t be transmitted from the sound to the listener.

Two identical positive charges exert a repulsive force of 6.2 × 10−9 n when separated by a distance 3.7 × 10−10 m. calculate the charge of each. the coulomb constant is 8.98755 × 109 n · m2 /c 2 . answer in units of
c.

Answers

The electrostatic force between two charges is given by
[tex]F=k \frac{q_1 q_2}{r^2} [/tex]
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is their separation

In this problem, the two charges are identical, so we can call them q1=q2=q, and the formula becomes
[tex]F=k \frac{q^2}{r^2} [/tex]

Since we know the magnitude of the force and the separation between the two charges, we can re-arrange the equation to find the value of each charge:
[tex]q= \sqrt{ \frac{Fr^2}{k} } = \sqrt{ \frac{(6.2 \cdot 10^{-9} N)(3.7 \cdot 10^{-10}m)^2}{8.99 \cdot 10^9 Nm^2C^{-2}} }=3.07 \cdot 10^{-19} C [/tex]

Use Coulomb's Law formula to calculate the charge of each identical positive charge given the force and distance. Each charge is 4.0 × 10^-19 C.

We can use Coulomb's Law formula: F = k * (q^2) / r^2, where F is the force, k is the Coulomb constant, q is the charge, and r is the distance between the charges.

Given: F = 6.2 × 10^-9 N, r = 3.7 × 10^-10 m, and k = 8.98755 × 10^9 N · m^2 /C^2. Plugging these values into the formula, we get q = √(F * r^2 / k).

Calculating: q = √(6.2 × 10^-9 * (3.7 × 10^-10)^2 / 8.98755 × 10^9) = 4.0 × 10^-19 C.

Therefore, each charge is 4.0 × 10^-19 C.

What process is used in this example? You have learned that all living things use energy. Your dog is a living thing. She must use energy.
1- Inductive reasoning
2-Deductive reasoning
3-The scientific method
4-Theory development

Answers

Option B.) Deductive Reasoning

How does the doppler effect affect the velocity from a sourse that is approaching you?

Answers

the apparent change in the frequency of a sound caused by the motion of either The Listener or the source of the sound

In a four stroke engine, the piston compresses the gas mixture during the ______ stroke.

Answers

Answer : Compression / Power

Explanation : In a four stroke engine, the piston compresses the gas mixture during the power / compression stroke.

In the second stage of compression stroke, the stroke begins at bottom dead center, or just at the end of the suction stroke, and ends at top dead center.

In this type of stroke, the piston usually compresses the air-fuel mixture in preparation for ignition during the power stroke.

A forklift lifts 5 boxes from the ground to a height of 2 meters (m). The boxes push down with a force of 1000 newtons (N). How much work was done by the forklift to lift the boxes?

Answers

Hello!

Answer:

2000 J

Explanation

Work equation is expressed as:

[tex]W=F.d.Cos \alpha [/tex]

Where:

F: Applied force
d: traveled distance
α: Angle between the direction of the force and the direction of the movement. (in this case, both of the direction are the same, so the angle is 0°)

By substituting:

[tex]F=1000N.2m.Cos(0)=2000N.m=2000 J[/tex]

Have a nice day!

Answer:

2000 j

Explanation:

its the right answer

A voltmeter reads 200 V between parallel plates that are 2 cm apart. what is the strength of the electric field between the two plates?

A) 1.0 x 10^3 N/C
B) 1.0 x 10^2 N/C
C) 1.0 x 10^4 N/C
D) 1.0 x 10^1 N/C

UPDATE: ANSWER IS C

Answers

I think that is c) l’m not sure

Assuming the input of energy continues for another 2.5 seconds, where will the particle be?



equilibrium
positive maximum
negative maximum
cannot be determined

Answers

well i had the same question on my test, and when the graph in 2.5 seconds goes up from the equilibrium it reaches a positive maximum, so that would be your answer. 

b. positive maximum 

ANSWER ASAP
The specific heat of aluminum is 0.125 cal/g °C. If 12.5 grams of aluminum were heated from 20.0 °C to 100.0 °C, ____ calories of heat energy would be absorbed by the aluminum.

INTEGRATED PHYSICS AND CHEMISTRY

Answers

The amount of heat needed to increase the temperature of a substance by [tex]\Delta T[/tex] is given by
[tex]Q=mC_s \Delta T[/tex]
where
m is the mass of the substance
Cs is the specific heat capacity of the substance
[tex]\Delta T[/tex] is the increase of temperature of the substance

If we plug the data of the problem into the formula, we find
[tex]Q=(12.5 g)(0.125 cal/g^{\circ}C)(100.0^{\circ}C-20.0^{\circ}C)=125 cal[/tex]
and this is the amount of heat needed to bring 12.5 g of aluminium from 20 degrees to 100 degrees.

Answer:

125 is your answer.

Explanation:

Why are hair samples considered to be both useful and cumbersone of tace evidence?

Answers

well, hair has follicle cells that are attached to it. Which means it can then
be individualized through DNA.

 The source of power in a nuclear power plant comes from

Answers

The source of power in a nuclear power plant is nuclear reactors. These reactors split uranium atoms, releasing energy in the form of heat, in a process called fission. The heat converts water into steam which powers a turbine generator to produce electricity.  

If a clock expends 2 W of power from a 1.5 V battery what amount of current is supplying the clock?

Answers

1.3 A
If a clock expends 2 W of power from a 1.5 V battery, what amount of current is supplying
the clock?
solution
as we know
p=vi
i=p/v
=2/1.5
=1.3A

The power generated at the clock is dependent on the voltage and current supplied to the clock. The amount of current supplied to the clock is 1.34 A.

What is power?

Power can be defined as the amount of energy transferred per unit time interval within a system.

Given that the voltage V is 1.5 V and power P generated at the clock is 2 W.

The power generated at the clock is given by the formula,

[tex]P = VI[/tex]

[tex]2 = 1.5 \times I[/tex]

[tex]I = 1.34 \;\rm A[/tex]

Hence we can conclude that the amount of current supplied to the clock is 1.34 A.

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How long does it take to.travel 500 miles in.a car at 75mph?

Answers

500÷75=6.66 (6hrs40min)

HELP
An individual having difficulty with high blood pressure may be experiencing an imbalance in all of the following hormones except __________.
A. growth hormone (GH)
B. estrogen
C. norepinephrine
D. cortisol

Answers

The answer is; B

The fluctuation of estrogen in the body is common and its function in a cycle helps regulate the menstrual cycle in females. Therefore, its imbalance is not associated with blood pressure.

Growth hormone affects the renin-angiotensin system that influences blood fluid levels hence affects blood pressure. Norepinephrine is a neurotransmitter that affects dilation and vasoconstriction of blood vessels and the hearts rate hence affects blood pressure. Cortisol is a stress hormone and its increase in the body increases blood pressure. Cortisol is only produced in periods of stress and should not be produced in prolonged periods. Its imbalance, therefore, affects blood pressure.


the other answer is right, the right option is B. estrogen.

Which term refers to the difference between the energy of the transition state and the energy of the reactamts?

Answers

The transition state is the state where an electron makes a jump to change its energy level. The term refers to the difference between the energy of the transition state and the energy of the reactants is the activation energy.

What is energy?

Energy is the ability to do work.

The transition state is considered to be the highest energy point on the minimum free energy reaction path (MERP). It is the state corresponding to the highest potential energy along the reaction.

Reactions occur between the path of converting reactants to products which is of lowest energy.

Thus, the term refers to the difference between the energy of the transition state and the energy of the reactants is the activation energy.

Learn more about energy.

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The term referring to the difference between the energy of the transition state and the energy of the reactants is activation energy.

The term you're looking for is activation energy, which is the energy required to transform the reactants into the transition state. This can also be considered the 'energy barrier' that must be overcome for a reaction to proceed. The transition state, also known as an 'activated complex', is the highest energy point during the process of bonds breaking and forming. The magnitude of the activation energy is crucial because it determines the kinetics of a reaction; the higher the energy barrier, the slower the reaction rate. Moreover, the existence of a catalyst in a reaction can lower the activation energy, thereby increasing the reaction rate without altering the energies of the reactants or products.

Which type of plate boundary would be most likely to lead to above-ground volcanic activity? Convergent Divergent Collisional Transform

Answers

covergent brainlist answer ever

Answer:

convergant

Explanation:

What type of lens causes parallel rays to come together after passing through the lens?

Answers

Converging lens, or convex lens
............................
A convex lens
............................

A light bulb whose resistance is 240 ohms is connected to a 120 voltage source. What is the current through the bulb?

Remember to identity all of your data, write the equation, and show your work.

Answers

Hint!

Used v=i*r

I=v/r=0.5A

Hope it helped you.

-Charlie

The current through the bulb will be 0.5 A. The principle of ohm's law is used in the given problem.

What is ohm’s law?

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

This current-voltage connection may be expressed mathematically as,

The Equation of Ohm's Law is found as;

V=IR

[tex]\rm I = \frac{V}{R} \\\\ \rm I = \frac{120}{240} \\\\ I= 0.5 \ A[/tex]

Hence the current through the bulb will be 0.5 A.

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Jack has a rock.the rock has a mass of 14g and a volume of 2cm^3.what is the density of the rock?

Answers

it will be
d=m/v
=14/2
=7g/cm3

Please answer ASAP
19. Fill in the blank A charged particle moving in a magnetic field experiences a deflecting in a direction ___ to the magnetic field.

Answers

Perpendicular is the answer.
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