A racecar accelerates at a rate 19 m/s each second. If the mass of the race car is 1600 kg, determine the net force acting on the car.

30,400 N


8,400 N


84 N


300 N.

Answers

Answer 1

Answer:

\(19 \times 16000\)

Answer 2
The net force will be "30400 N".

According to the question,

Mass, m = 1600 kgAcceleration, a = 19 m/s

Force:

We know,

→ \(Force = Mass\times Acceleration\)

By substituting the values, we get

           \(= 1600\times 19\)

           \(= 30400 \ N\)

Thus the above answer is right.

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A Racecar Accelerates At A Rate 19 M/s Each Second. If The Mass Of The Race Car Is 1600 Kg, Determine

Related Questions

Weather hazards and natural disasters such as tsunamis, earthquakes, and flooding are considered which type of migration factor?
A. Pull factor
B. Both push and pull factors
C. Neither push or pull factor
D. Push factor

Answers

Push factor.

Push factors lead people to leave their current location
Pull factors lead people to come to a specific location

[brainliest appreciated]

Answer:

D. Push Factor

Explanation:

Pull factors are known as positive aspects of a place that make people want to stay/remain in that area.Push factors are known as negative aspects of a place that make people want to leave/depart from that area.

Weather hazards and natural disasters are horrendously negative things that people actively seek to avoid; they make people want to leave or depart from an area in order to escape them. As such, they are considered push factors.

(Weather hazards and natural disasters are not pull factors because when discussing push vs pull we are specifically describing the mentioned factor. This aspect is not considered both because the migration factor mentioned in this question actively makes people want to move to any area that avoids their issue. Remember that pull factors make people want to move to a specific place for a unique advantage, while push factors make people want to move to any general place for a common advantage.)

A jar of tea is placed in sunlight until it reaches an equilibrium temperature of 33.1 ◦C . In an attempt to cool the liquid, which has a mass of 185 g , 90.3 g of ice at 0.0 ◦C is added. At the time at which the temperature of the tea is 26.3 ◦C , find the mass of the remaining ice in the jar. The specific heat of water is 4186 J/kg · ◦ C . Assume the specific heat capacity of the tea to be that of pure liquid water. Answer in units of g.(2 significant digits pls) ​

Answers

90.1 g of ice are still present in the container. Calculating the heat received by the ice to melt and the heat lost by the tea is necessary until it reaches an equilibrium temperature of 33.1 ◦C .

How do you calculate the amount of heat needed to melt ice?

Consider how much energy is required to melt one kilogramme of ice at zero degrees to produce one kilogramme of water at zero degrees. The energy required to melt one kilogramme of ice is determined by Q = mLf = (1.0 kg)(334 kJ/kg) = 334 kJ using the equation for a change in temperature.

In order to calculate how much heat is gained by the ice melting, we must first calculate how much heat is lost by the tea as it cools from 33.1 °C to 0.0 °C.

Tea loses the following amount of heat: q1 = m1CT1 = 0.185 kg) (4186 J/kg C) (33.1 C - 0.0 C) = 26298.93 J.

Heat required for ice to melt is given by the formula: q2 = m2Hf = (0.0903 kg)(333.55 kJ/kg) = 30062.56 J

We may set q1 = q2 to get the mass of ice still present because the system is in thermal equilibrium:

m2 = q2/Hf = 333.55 kJ/kg / 30062.56 J = 0.0901 kg

Finally, we round the mass to two significant digits and convert it to grammes:

m2 = 90.1 g

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How do compounds differ from mixtures such as lemonade

Answers

Answer:

A mixture is a combination of two or more substances in any proportion. This is different from a compound, which consists of substances in fixed proportions. ... The lemonade pictured above is a mixture because it doesn't have fixed proportions of ingredients.

Explanation:

If the sun were more massive, what would happen to Earth’s gravity with the sun?
A. decrease
B. would be infinite
C. would be 0
D. increase

Answers

Answer: d. increase

Explanation:

If the sun were more massive, the gravitational force between the sun and Earth would increase. This means that Earth's gravity with the sun would also increase. Therefore, the correct answer is (D) increase.

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. So, if the mass of one of the objects increases, the gravitational force between them will also increase. In this case, if the mass of the sun were to increase, the gravitational force between the sun and Earth would become stronger, and hence, Earth's gravity with the sun would also increase.

What distance does a plate with an average speed of 1.95 cm/year move in 1000 years? help pls

Answers

Answer:

1950cm

Explanation:

You should multiply 1.95 cm by 1000. This will result in the answer.

1. List five examples of pseudoscience found on the Internet. These could be websites, blogs, or online newspaper and magazine articles.

Answers

The five examples of pseudoscience found on the Internet include the following:

Ancient Astronauts and Crop CirclesMoon Landing Conspiracy or the Flat EarthAstrologyPolygraphs and HypnosisConversion Therapy

What are Pseudosciences?

Pseudosciences is defined as the science that is regarded as false science because it deals with something that has no connection to proper scientific methodology and cannot be proven realistically.

The different types of Pseudosciences include the following:

Ancient Astronauts and Crop Circles: This believes that a point in time, that aliens must have visited the earth to influence civilization.Moon Landing Conspiracy or the Flat Earth: This believed that original moon landing by astronauts didn't occur and that the earth is flat in shape.Astrology: This believes that celestial bodies have some effect on the behavior or future of a person's life.Polygraphs and Hypnosis.Conversion Therapy.

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A 2 kg object and a 1 kg object are dropped from the same height.
Given that the inertia
masses of these objects are not the same, what hypothesis explains
why the two objects
fall with the same acceleration?
Select one:
O a. The force of gravity is the same for the 1 kg object as for the 2 kg object
O b. The force of friction is the same for the 1 kg object as for the 2 kg object.
O c. The force of gravity on the 1 kg object is twice as great as on the 2 kg object.
Od. The force of friction on the 2 kg object is twice as great as on the 1 kg object.

Answers

The first choice (A) will be accurate.

Objects weighing 1 kg and 2 kg are dropped from the same height.

Because the force of gravity is the same for both the 1 kg and the 2 kg objects, the two objects fall with the same acceleration.

What is gravity?Gravity pulls you toward the ground because all objects with mass, such as our Earth, actually bend and curve the fabric of the universe, known as spacetime. Gravity is the curvature of the earth. Gravity, also known as gravitation, is a force that exists between all physical objects in the universe. The force of gravity tends to attract any two objects or particles with nonzero mass toward each other. Gravity affects objects of all sizes, from subatomic particles to galaxy clusters. Gravity is the force that pulls objects toward the center of a planet or other entity. Gravity keeps all of the planets in orbit around the sun.

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I need help on this science homework I forgot on what to do through number 4-7 including a,b,c,d, and e.

I need help on this science homework I forgot on what to do through number 4-7 including a,b,c,d, and

Answers

Answer:

\(\begin{gathered} (a)\Rightarrow v=2ms^{-1} \\ (b)\Rightarrow v=1ms^{-1} \\ (c)\Rightarrow v=6.67ms^{-1}_{} \\ (d)\Rightarrow v=1.2ms^{-1} \\ (e)\Rightarrow v=0ms^{-1} \end{gathered}\)

Explanation: We need to calculate the speed on intervals a b c d and e, the speed can be calculated with the following formula:

\(v=\frac{\Delta S}{\Delta t}\Rightarrow(1)\)

(a) 0-5 seconds Interval:

\(\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(10m-0m)}{(5s-0s)}=\frac{10m}{5s}=2ms^{-1} \\ v=2ms^{-1} \end{gathered}\)

(b) 5-15 seconds Interval:

\(\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(20m-10m)}{(15s-5s)}=\frac{10m}{10s}=1ms^{-1} \\ v=1ms^{-1} \end{gathered}\)

(c) 15-18 seconds Interval:

\(\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(40m-20m)}{(18s-15s)}=\frac{20m}{3s}=6.67ms^{-1} \\ v=6.67ms^{-1} \end{gathered}\)

(d) 18-23 seconds Interval:

\(\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(46m-40m)}{(23s-18s)}=\frac{6m}{5s}=1.2ms^{-1} \\ v=1.2ms^{-1} \end{gathered}\)

(e) 23-25 seconds Intervals:

\(\begin{gathered} v=\frac{\Delta S}{\Delta t}\Rightarrow v=\frac{(40m-40m)}{(25s-23s)}=\frac{0m}{2s}=0ms^{-1} \\ v=0ms^{-1} \end{gathered}\)

I need help on this science homework I forgot on what to do through number 4-7 including a,b,c,d, and

Applying an AC voltage v = V√2 cos(ωt) (where V and ω are constants) to the two ends of the circuit AB connected in series, which includes a variable inductor with self-inductance L, a resistor with resistance R, and a capacitor with capacitance C. Let vₗ and Vₗ be the instantaneous voltage and the effective voltage across L, respectively. When L = L₁, Vₗ = V₁, and vₗ leads v by an angle β₁. When L = L₂, Vₗ = V₂, and v₂ leads v by an angle β₂. When L = L₀, Vₗ is maximum and equal to Vₗₘₐₓ, and vₗ leads v by an angle β₀. If V₁ = V₂ = b and sinβ₁ + sinβ₂ = b/Vₗₘₐₓ, then what is sinβ₀?

Applying an AC voltage v = V2 cos(t) (where V and are constants) to the two ends of the circuit AB connected
Applying an AC voltage v = V2 cos(t) (where V and are constants) to the two ends of the circuit AB connected

Answers

When L = L₁, the circuit is a series RL circuit. The voltage across the inductor is given by Vₗ = XL₁i, where XL₁ = ωL₁ is the inductive reactance and i is the current flowing through the circuit. The voltage across the resistor is given by VR = Ri. The voltage across the capacitor is zero since it is connected in series with the inductor and the resistor.

The total voltage across the circuit is given by v = V√2 cos(ωt). By Kirchhoff's voltage law, we have v = Vₗ + VR,

V√2 cos(ωt) = XL₁i + Ri

The current i can be written as i = (1/Z) V√2 cos(ωt - φ), where Z = √(R² + XL₁²) is the impedance of the circuit and φ is the phase angle between the current and the voltage. Substituting i into the equation above, we get:

V√2 cos(ωt) = XL₁/Z V√2 cos(ωt - φ) + R/Z V√2 cos(ωt - φ)

Equating the coefficients of cos(ωt) and cos(ωt - φ), we get:

1 = XL₁/Z cos φ + R/Z sin φ

XL₁ sin φ = Z - R cos φ

tan φ = XL₁ / (Z - R cos φ)

The voltage across the inductor is given by:

Vₗ = XL₁ i = XL₁/Z V√2 cos(ωt - φ)

Vₗ/V = XL₁/Z cos φ

Substituting tan φ into this equation, we get:

Vₗ/V₁ = XL₁/Z₁ √[1 - (XL₁/Z₁)²] ... (1)

When L = L₂, the circuit is a series RC circuit. The voltage across the capacitor is given by VC = XC₂i, where XC₂ = 1/(ωC₂) is the capacitive reactance.  The total voltage across the circuit is given by v = V√2 cos(ωt). By Kirchhoff's voltage law, we have v = VC + VR, which gives:

V√2 cos(ωt) = XC₂i + Ri

Following the same steps as in the previous case, we can show that:

Vₗ/V₂ = XC₂/Z₂ √[1 - (XC₂/Z₂)²] ... (2)

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Could someone make sure My answers are correct... Thank you

What is the difference between covalent and ionic bonds?

Answer: Covalent bonds share electrons; ionic bonds transfer electrons


What is the charge on the metal ion in iron bromide: FeBr3?

Answer: +3


What would be the proper chemical formula for combining these two ions:

Al+3 and Cl-1

Answer: AlCl3


Name the following compound: NaF. Hint: Is this an ionic or covalent compound?Answer: sodium fluoride


What is the charge on the nonmetal in the ionic compound calcium phosphide?

Answer: -3


Given the Lewis dot structures of oxygen and magnesium, predict the ionic formula. *Mg* *O*

Answer: MgO

Hint: When you have a lewis dot structure, you can move the electrons from the metal to the nonmetal until there are zero or 8 dots around each. If necessary, you add more atoms until all atoms have this octet. Then you add up how many of each element you have and those are the subscripts!


Select all correct statements relating to the octet rule.

Answers:

atoms require 8 valence electrons in order to be stable.

atoms will share or transfer electrons in order to be stable.


When Beryllium and Fluorine join together,

Answer: a Beryllium atom donates two electrons, one to each Fluorine atom.

Hint: Beryllium is in group 2 so it has 2 valence electrons. Since Fluorine can only take one, there must be 2 fluorine atoms that bond with each beryllium atom.


Determine if each property relates to ionic or covalent bonds, both of them, or if the statement is completely false (nether).

Low melting point

give and take electrons

atoms come together to form compounds

salts

molecules

do not conduct electricity

electrolytes

cations and anions

high boiling point

want to reach octet to be stable

only exist as liquid and gases

share or transfer protons

strongly bonded crystalline structure

Contain a metal and a nonmetal

Contain all nonmetals

Answers:

covalent, ionic, both ionic and covalent, ionic, covalent, covalent, ionic, ionic,ionic, both ionic and covalent, neither ionic nor covalent, neither ionic and covalent, ionic, covalent


Check all of the prefixes that are correctly matched with the number they represent.

mono- 1

penta- 5

octa- 8

tri- 3


Match the element or the group to its number of valence electrons.

Group 2

Phosphorous

Sodium and Potassium

the Nobel Gases

Bromine and Chlorine

Carbon

Group 13

Oxygen and Sulfur

answers: 2,5,1,8,7,4,3,6


What is the charge on the metal ion in Silver Oxide, Ag2O?

Answer: +1

Hint: Oxygens subscript is a 1, so that's the charge on silver.


An ionic compound has a generic formula of QR2.


Which elements could the Q and R represent?


Once you choose an answer, check it by plugging those elements into the QR2 formula to see if it looks right.

Answer: Q= Magnesium R= Chlorine

Hint: To write an ionic formula, the charges are crossed down to form subscripts. So, take the subscripts and cross them up to see the charges!

Then consult the periodic table to find out which elements have those charges.

The first element in an ionic formula is always a metal so this will be in group 1, 2, or 13.

The second element in an ionic formula is always a nonmetal and will be found in group 15, 16, or 17.


Name this compound: PCl3

Is it ionic or covalent?

Answer: Phosphorous Trichloride; covalent


What is the formula for dinitrogen pentaoxide?

Answer: N2O5


Determine whether the compound is ionic or covalent.

BaF

AlN

NO

water

calcium iodide

sugar


answers: ionic, ionic,covalent, covalent, ionic, covalent

Answers

Answer:

I believe that number 1 is correct I am not sure about the others

Sorry for not being more helpful

Explanation:

Answer:

All your answers are correct

Explanation:

I took the test and got a 100

A standing wave is produced by reflecting a wave off a wall (which acts like a fixed end). If the standing wave consists of 6 anti-nodes and 7 nodes and the wall is 12m away from the source determine the wavelength.

Answers

Answer:

4 m

Explanation:

We can represent the standing wave as follows

So, we can divide the total distance into 6 parts as follows

12 m/6 = 2 m

Then, 2 m is the distance from node to node. It means that the wavelength will be twice this distance, so

wavelength = 2 x 2m = 4m

Therefore, the wavelength is 4m

A standing wave is produced by reflecting a wave off a wall (which acts like a fixed end). If the standing

What is the displacement for a driver who travels 10 km to get to a point that is 4 km from his starting point?

4 km
10 km
6 km
14 km

Answers

Answer:

6km

Explanation:

A light-year (ly) is the distance light travels in one year (at speed of 2.998 × 108 m/s). An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 × 108 km. 1 year = 3.156 × 107 s.
A) How many meters are there in 1.90 ly?
B) How many AU are there in 1.90 ly?

Answers

Answer:.47 x 10 *15* meters in 1.00 ly

there are 6.31 x 10 *4* au on 1.00 ly

Explanation:

khjb ,mnbmnvcvn dsegjhb xfdgrtuhn

Answers

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A plate of iron at 20 °C has shown in the figure below. If the temperature
raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7 o
1, then what is the final area of the plate?
(5
2 m
2 m

Answers

The final area of the plate is 4.0000352 \(m^2\) if the temperature raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7.

Expecting that the plate of iron is rectangular, we can involve the recipe for warm extension of solids to compute the last region of the plate. The equation for direct warm development is given by ΔL = αLΔT, where ΔL is the adjustment of length, α is the coefficient of straight extension, L is the first length, and ΔT is the adjustment of temperature.

Since the region of the plate is given by A = L*W, where L is the length and W is the width, we can involve the equation for straight warm extension to compute the adjustment of length of the plate and afterward use it to compute the last region.

ΔL = αLΔT = \((1.1 x 10^-7 m/oC)(2 m)(80 oC) = 1.76 x 10^-5 m\)

The last length of the plate is L + ΔL = 2 m + 1.76 x \(10^-5\) m = 2.0000176 m (approx.)

The last width of the plate is thought to be unaltered as it isn't impacted by the adjustment of temperature.

Thusly, the last region of the plate is A = L*W = (2.0000176 m)(2 m) = 4.0000352 \(m^2\) (approx.)

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Compared to the speed of light in a material medium, the speed of light in a vacuum is…….

Answers

Answer:

Explanation:

The speed in the medium is always slower than the speed in a vacuum.

A chemical reaction can be mathematically, represented by showing the required amount of products and resulting reaction components using a chemical what

Answers

A chemical reaction can be mathematically, represented by showing the required amount of products and resulting reaction components using a chemical equation.

What is chemical equation?

Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.

A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .

The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.

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in first equation of motion at denotes​

Answers

Answer:

Names of the Equations of Motion

1 The First Equation of Motion is, v=u+at is known as velocity – time relation. 2 The Second Equation of Motion is, s=ut+12at2 is known as position – time relation.

2. A 6.0 kg mass is pulled along a horizontal surface where the coefficient of friction is 0.20.
a) What is the friction force acting on the mass?
b) What force is needed to accelerate it at 0.68 m/s^(2)?

Answers

Answer:

Below

Explanation:

a) To find the force of friction acting on the mass we can use this formula :

     friction = coefficientoffriction x normal force

First we need to find the normal force of this object :

     Fn = mg

          = (6.0)(9.8)

          = 58.8 N

Now we can find the force of friction acting on the object :

     friction = (0.20)(58.8N)

                 = 11.76 N

                 = 12 N (we round this to 2 sig figs)

b) To find the force needed to accelerate this object at 0.68 m/s^2 use this :

     F = ma

     0.68 = x - 11.76 / 6

     x = 15.84

     x = 16 N

Hope this helps! Best of luck <3

Which statement is true

Cells usually take in large food molecules

Cells can get energy by breaking down molecules from food

Cells use energy to help an organism grow and live

Breaking down molecules does not release energy

Answers

All of the statements are true. Here's why:

Cells usually take in large food molecules. In order to get the nutrients and energy they need, cells have to take in large molecules like carbohydrates, proteins, and fats. These molecules are too big to pass through the cell membrane, so cells have to use specialized structures like lysosomes and vacuoles to break them down into smaller molecules.

Cells can get energy by breaking down molecules from food. When cells break down molecules from food, they release energy in the form of ATP (adenosine triphosphate). This energy can be used by the cell to power its functions, such as growth and metabolism.

Cells use energy to help an organism grow and live. The energy that cells get from

breaking down molecules from food is essential for maintaining the functions of the organism. Without this energy, cells would not be able to perform essential tasks like building new tissue, repairing damaged cells, and fighting off infections.
Breaking down molecules does not release energy.

Breaking down molecules actually requires energy, not releases it. In order to break down large molecules into smaller ones, cells have to use enzymes and other specialized structures. These processes require energy in the form of ATP, which is why cells need to take in energy from food in the first place.

Cynthia pushes a ball with a horizontal speed of 6.50 m/s off a bench with a height of
0.75 m. A) How long will it take the ball to reach the floor? B) How far from a point on
the floor directly below the edge of the bench will it land?

Answers

The answer is a because if you look really close

Calculate the velocity for a 20kg object with 2,00J of KE.

Answers

so this is the answer velocity =10√2

Calculate the velocity for a 20kg object with 2,00J of KE.

can someone help me fast please​

can someone help me fast please

Answers

Answer:

C

Explanation:

if you plug the coordinates to each line, you'll see which one best fits the answer to your question.

Vector B goes from the points. The first point is at (-1,-2) and it goes up, going through (3,4)

Two solenoids of equal length are each made of 2000 turns of copper wire per meter. Solenoid I has a 5.00 cm radius; solenoid II a 10.0 cm radius. When equal currents are present in the two solenoids, the ratio of the magnitude of the magnetic field BIalong the axis of solenoid I to the magnitude of the magnetic field BIIalong the axis of solenoid II, BI/BII, is

Answers

Answer:

BI/BII = 1

Explanation:

The magnetic field due to a solenoid is given by the following formula:

\(B = \mu nI\\\)

where,

B = Magnetic Field due to solenoid

μ = permeability of free space

n = No. of turns per unit length

I = current passing through the solenoid

Now for the first solenoid:

\(B_1 = \mu n_1I_1 \\\)

For the second solenoid:

\(B_2 = \mu n_2I_2\\\)

Dividing both equations:

\(\frac{B_1}{B_2} = \frac{\mu n_1I_1}{\mu n_2I_2}\\\)

here, no. of turns and the current passing through each solenoid is same:

n₁ = n₂ and I₁ = I₂

Therefore,

\(\frac{B_1}{B_2} = \frac{\mu nI}{\mu nI}\\\)

BI/BII = 1

What are the ways of increasing voltage across a capacitor?
Select all that apply.

Group of answer choices

a. Decrease the plates' separation distance

b. Decrease supply battery voltage

c. Decrease the plates' surface area

d. Increase the plates' the plates' separation distance

e. Increase the plates' surface area

f. Increase supply battery voltage

Answers

Answer:

f. Increase supply battery voltage

Explanation:

I just took the test.

What are the ways of increasing voltage across a capacitor?Select all that apply.Group of answer choicesa.

The carnival ride, the Round Up, has a radius of 1 m and rotates once each .9 s. What coefficient of static friction is required to keep the riders from slipping?

Answers

The coefficient of static friction is required to keep the riders from slipping is 0.05.

What is coefficient of static friction?

The coefficient of static friction is the ratio of the maximum static friction force (F) between the surfaces in contact before movement commences to the normal (N) force.

The coefficient of static friction is required to keep the riders from slipping is calculated as follows;

static friction force = centripetal force

μmg = ma

μg = a

μg = ω²r

μ =  ω²r /g

where;

ω is the angular speed of the carnival rider is the radius of the pathg is acceleration due to gravity

The given parameters;

angular speed of the carnival ride, ω = 1 rev/9s = 2π rad/9s = 0.698 rad/s

μ =  (0.698² x 1) / (9.8)

μ = 0.05

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A lowest A on a piano has a frequency of 27.5 HZ if the tension in the 2.00m string is 308N and one half wavelength occupies the spring what is the mass of the wire

Answers

The mass of the wire of lowest A on a piano is 0.00165 kg.

The frequency of a vibrating string is given by the equation:

f = (1/2L) * sqrt(T/μ)

where f is the frequency of the string, L is the length of the string, T is the tension in the string, and μ is the linear mass density of the string (mass per unit length).

We know the frequency of the lowest A on a piano is 27.5 Hz. We also know that one half wavelength occupies the string, so the length of the string is half the wavelength:

L = (1/2) * λ

The wavelength of a sound wave is given by:

λ = 2L/n

where n is the number of nodes (points of zero displacement) in the wave. For the lowest A on a piano, n = 1, so we can write:

λ = 2L

Substituting this into the equation above for L, we obtain:

L = λ/2

Now we can substitute these values into the first equation:

27.5 = (1/2)(λ/2) * sqrt(308/μ)

Simplifying, we get:

λ = 4L

308/μ = 4(27.5)^2 (1/4)

μ = 0.000824 kg/m.

Since μ = m/L, where m is the mass of the wire and L is its length, we can find the mass of the wire by multiplying the linear mass density by the length of the string:

m = μL

The length of the string is given as 2.00 m, so we can write:

m = 0.000824 kg/m * 2.00 m = 0.00165 kg

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If you speed through a construction zone while workers are present, your fines could be:.

Answers

If you speed through a construction zone while workers are present, your fines could be as much as one thousand dollars.

What is a Fine?

This is referred to as the amount which is instructed by a court or authority to be paid as a result of it being a penalty for various types of offences. each crime has its specific fine which helps to serve as deterrent for unlawful behavior in the community.

it is always best not to speed when within a construction zone which has workers present in the area. This is ideal as it helps to prevent incidences of accidents or death.

it is therefore the reason why a fine of 1000 dollars is to be paid so that people can think of such high amount before performing certain types of activities when driving and makes it the most appropriate choice.

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A block of mass 0.1 kg is attached to a spring of spring constant 15 N/m on a frictionless track. The block moves in simple harmonic motion with amplitude 0.22 m. While passing through the equilibrium point from left to right, the block is struck by a bullet, which stops inside the block. The velocity of the bullet immediately before it strikes the block is 42 m/s and the mass of the bullet is 3 g. If the simple harmonic motion after the collision is described by x = B sin(ω t + φ), what is the new amplitude B? Answer in units of m.

Answers

The new amplitude B is 0.22 m.

Mass of block = M =0.1 kg

Spring constant = k = 15 N/m

Amplitude = A = 0.22 m

Mass of bullet = m = 3 g = 0.003 kg

Velocity of bullet = vᵇ = 42 m/s

Angular frequency of S.H.M is given by = ω₀ = \(\sqrt{\frac{k}{M}}\)

                                                      = \(\sqrt{\frac{15}{0.1} }\)

                                                      = 12.24 rad/sec

Speed of the block immediately before the collision:

Displacement of Simple Harmonic Motion is given as:

x= A Sin(ωt+Ф)

After differentiating:

v = A ω₀cos(ω₀t+Ф)

As bullet strikes at equilibrium position,

   φ = 0

    t= 2nπ

⇒ cos (ω₀t + φ) = 1

⇒ v= A ω₀

⇒ v= (0.22)(12.24)

⇒ \(v=2.692 ms^{-1}\)

If the simple harmonic motion after the collision is described by x = B sin(ωt + φ), new amplitude B:

S.H.M after collision is given as :

x= B Sin(ωt+Ф)

To find B, consider law of conservation of energy,

\(KE = PE\\KE =\frac{1}{2}(m+M)v^{2} \\PE= \frac{1}{2}kB^{2}\\\frac{(m+M)v^{2}}{k}=B^{2} \\B=\sqrt{\frac{(m+M)}{k}} v\\B= \sqrt{\frac{0.003+0.1}{15} } (2.69)\)

\(B= 0.22 m\)

Therefore, the new amplitude B is 0.22 m.

To learn more about simple harmonic motion, refer:

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Which of the following is a vector quantity
weight
temperature
acceleration
distance

Answers

Answer:

weight, acceleration

Explanation:

weight = mass x gravity(meaning the direction of the mass)

acceleration = v-u/t

v-u is the change in velocity

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