A 5 kg mass is attached to a spring that is hanging vertically. The spring is stretched 0.25 m from its equilibrium position. What is the spring constant? What mass would be required to stretch the spring three times the distance?

Answers

Answer 1

The spring constant is 196.2 N/m.

The mass required to stretch the spring three times the distance is 15 kg.

To find the spring constant (k), we can use Hooke's Law:
F = k * x

Where F is the force acting on the spring, x is the displacement from equilibrium position, and k is the spring constant. Since the mass is hanging vertically, the force acting on it is its weight, which is calculated using the formula:
F = m * g

Where m is the mass (5 kg) and g is the acceleration due to gravity (approximately 9.81 m/s²).

Now, we can substitute the weight formula into Hooke's Law:
m * g = k * x

Solving for k, we get:
k = (m * g) / x = (5 kg * 9.81 m/s²) / 0.25 m = 196.2 N/m

Now, let's find the mass required to stretch the spring three times the distance (0.75 m). We can rearrange Hooke's Law to find the mass:
m = (k * x) / g

Substituting the known values:
m = (196.2 N/m * 0.75 m) / 9.81 m/s² = 15 kg

So, a mass of 15 kg would be required to stretch the spring three times the distance.

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Related Questions


A brick has a density of 21.6 g/cm3 and a mass of 15.4 g. What is the volume of
the brick?

Answers

1.402597402597403cm^3

Two lightning bolts are seen to strike two distant locations at the same time. Seen from a different location, the two lightning bolts a. will also be seen at the same time b. will not be seen at the same time c. may or may not be seen at the same time

Answers

The correct answer is Option C

c. may or may not be seen at the same time

What is Theory of relativity?

The link between space and time is described by the special theory of relativity, sometimes known as special relativity. STR theory is a common name for this. Two postulates form the foundation of the special theory of relativity.

The laws of physics remain constant.

The speed of light in a vacuum remains constant regardless of the light source in any other location.

This idea was first put out by Albert Einstein in his 1905 paper "On the Electrodynamics of Moving Bodies." The repercussions of mass-energy equivalence, simultaneity relativity, length contraction, and a restriction on the speed of light are all implied by special relativity. The idea of a time that depends on the reference frame and physical situation takes the place of the usual idea of absolute universal time.

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If the speed of light in some unknown material is 2. 00 × 108 m/s, what is the index of refraction of the medium?

Answers

The index of refraction of the unknown material is 1.5.

The index of refraction (n) of a medium is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v):

n = c / v

In this case, the speed of light in the unknown material is given as 2.00 × \(10^8\) m/s. The speed of light in a vacuum is approximately 3.00 × \(10^8\) m/s. Substituting these values into the formula:

n = (3.00 × \(10^8\) m/s) / (2.00 × \(10^8\) m/s)

Simplifying the expression:

n = 1.5

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How far does a car travel in 30.0 s while its velocity is changing from 50.0 km/h to 80.0 km/h at a uniform rate of acceleration?

Answers

Answer:

The car will travel 541.67 m

Explanation:

Uniform Acceleration

When an object changes its velocity at the same rate, the acceleration is constant.

The relation between the initial and final speeds is:

\(v_f=v_o+a.t\)

Where:

vf  = Final speed

vo = Initial speed

a   = Constant acceleration

t   = Elapsed time

The acceleration can be computed by solving for a:

\(\displaystyle a=\frac{v_f-v_o}{t}\)

And the distance traveled is calculated as follows:

\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\)

The car travels during a time of t=30 s, and its speed changes from vo=50 Km/h to vf=80 Km/h.

Converting the speeds to m/s:

vo=50 Km/h * 1000/3600 = 13.89 m/s

vf=80 Km/h * 1000/3600 = 22.22 m/s

Both numbers are shown with a 2-decimal precision but they will be used with higher accuracy in further calculations.

Calculating the acceleration:

\(\displaystyle a=\frac{22.22-13.89}{30}\)

\(a = 0.28\ m/s^2\)

Now for the distance:

\(\displaystyle x=13.89*30+\frac{0.28.30^2}{2}\)

\(x=416.67\ m+125\ m\)

x = 541.67 m

The car will travel 541.67 m

If a wave has a speed of 362 m/s and a period of 4. 17 ms, what is its wavelength?.

Answers

Important Formulas:

\(v=\lambda f\)

velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)

\(f=\dfrac{1}{T}\)

frequency(measured in hertz) = 1 / period(measured in seconds)

__________________________________________________________

Given:

\(v=362m/s\)

\(T=4.17s\)

\(\lambda=?\)

__________________________________________________________

Finding frequency:

\(f=\dfrac{1}{T}\)

\(f=\dfrac{1}{4.17}\)

\(f=0.24Hz\)

__________________________________________________________

Rearranging formula for velocity to make wavelength the subject:

\(v=\lambda f\)

\(\dfrac{v}{f} =\dfrac{\lambda f}{f}\)

\(\lambda=\dfrac{v}{f}\)

__________________________________________________________

Finding wavelength:

\(\lambda=\dfrac{v}{f}\)

\(\lambda=\dfrac{362}{0.24}\)

__________________________________________________________

\(\boxed{\lambda=1508.33m}\)

Distance between gas molecules in the case of:
-Increase in temperature
-Decrease in temperature
-Increase in volume
-Decrease in volume
-Increase in pressure
-Decrease in pressure

Answers

Answer:

-Increase in temperature: increase

-Decrease in temperature: decrease

-Increase in volume: increase

-Decrease in volume: decrease

-Increase in pressure: increase

-Decrease in pressure: decrease

Explanation:

-Increase in temperature:

● Molecules gain kinetic energy and move fast thus increasing distance

-Decrease in temperature:

● Kinetic energy of molecules decrease so they have smaller distance

-Increase in volume:

● Molecules have more space to move around so distance increase

-Decrease in volume:

● Less space, molecules collide with each other because of decreased distance thus increasing pressure

-Increase in pressure

● Molecules collide with each other and the walls of container increasing pressure so molecules move faster and it increases distance

-Decrease in pressure:

● Molecules collide with each other and walls of container less frequently so distance between molecules decrease

What are the si units

Answers

Answer:

The uniy which is accepted all over the world is called SI unit.

Explanation:

The system of measurement that is agreed by the international convention if scientists that is held in paris of France to adopt an international unit is called SI unit unit.

How do I solve this problems

How do I solve this problems

Answers

My best advice would be to just keep on practicing and work with whatever notes you have :)

What is the Gravitational pull of something that weighs 254.4 Newtons and is at a 40 Degree angle?

Answers

An object weighing 254.4 N and inclined at a 40° angle has a gravitational pull of 2380.5.

The formula of a Force is F=Mg.

Where M is the mass of an object, and g is the gravity.

\(F_{1}\)=254.4× 10, Value of gravity ≈ 10.

  = 2544

Here F ≠ Mg, due to an angle of 40°.

∴ \(F_{ax}= mass. cos \alpha\) .

 =  254.4× cos 40

As cos40 =0.766

=  254.4 ×  0.766

= 194.88

To find a Normal force, use the formula of  Gravitational pull.

\(F_{total} = F_{1}-F_{bx}\) , here \(F_{bx} = M. sin\alpha\) =163.5

= 2544-163.5

=2380.5

Hence Gravitational pull is 2380.5

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what do you think "you see the world the way you feel" means

Answers

If you are happy and excited, you may see the world more bright and “full of color” but for someone who may be sad or depressed, everything might seem drained of color or boring and they might only see the bad in the world

3 simple machines you find in a pinball machine

Answers

lever (The things that flick the ball around)

Inclined plane (The hill the ball rolls down)

Wedge (The bumps that stop the ball from rolling certain places)

Based on the diagram, which statement explains how energy is conserved
during this chemical reaction?
A
B
PA
с
Reaction progress
A. The potential energy lost during the formation of products (B) is
gained by the surroundings.
B. The potential energy lost by the reaction system (C) is also lost by
the surroundings.
C. The potential energy changes indicated by A and B show energy
that is lost by the surroundings.

Based on the diagram, which statement explains how energy is conservedduring this chemical reaction?ABPAReaction

Answers

The potential energy lost during the formation of product (B) is gained by the surroundings.

What is exothermic reactions?

Exothermic reactions is a type of chemical reaction in which heat is lots to the surroundings.

From the given diagram, the energy of the reactants are more when compared to the products, so the reaction is exothermic and heat is released to surroundings.

Thus, the potential energy lost during the formation of product (B) is gained by the surroundings.

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A bird flying 5.0 m overhead sees me drop it, and starts to dive straight down towards the bread the instant I release it. She catches it after it falls 3.0 m. Assuming she accelerates constantly from rest (0 = 0) at the time I let go of the bread, what is her acceleration?

Answers

Answer:

15

Explanation:

muntiply the 5.0.3.0 ,you will get ans

which kind of waves are used to make and receive cellphone calls?

Answers

Answer:

Micro Waves

Explanation:

Microwaves in particular are used by cell phone calls for wireless communication. A portion of radio waves with higher frequency makes up these microwaves. The cellphone's antenna transforms speech data into microwaves during a call, and these microwaves travel through the atmosphere to the closest cell tower. The tower takes in and sends the microwaves to the mobile device of the intended receiver. The gadget receives the microwaves and transforms them back into electrical signals so the recipient can hear the voice data. By employing the strength of microwaves, this technology provides wireless communication and permits mobile users to communicate from anywhere inside the cellular network's service area.

The type of waves that are used to make and receive cellphone calls are radio waves.

Radio waves are a type of electromagnetic radiation that has a long wavelength and low frequency. These waves are used for communication purposes because they are able to travel long distances without losing their signal strength. When a person makes a call on their cellphone, their voice is converted into an electrical signal that is sent through the cellphone's antenna as a radio wave. This radio wave is then picked up by the nearest cell tower, which receives the signal and sends it through the network to the person on the other end of the call. The process is reversed when the other person responds, with their voice being converted into a radio wave that is sent back through the network to the caller's phone.

In summary, radio waves are the type of waves that are used to make and receive cellphone calls due to their ability to travel long distances without losing signal strength.

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The result of multiplying the frequency of an oscillating body by its periodic time equals .................... A-1/2 B-1/4 C-1/3 D-1

Answers

Answer:

1

Explanation:

The frequency of an oscillating body is given by :

f = 1/T

Whre

T is the time period or the periodic time

The product of frequency and the periodic time will be :

\(f\times T\\\\=f\times \dfrac{1}{f}\\\\=1\)

Hence, the required product is equal to 1.

what should have happened to the grand unified force as the universe expanded and cooled at an age about

Answers

Grand unified force thermodynamically isolated its internal energy as the universe expanded and cooled at an age about.

The universe's evolution has been split into eras by cosmologists and astronomers.The Planck Era was followed by the Grand Unified Theory Era, which is the third stage of the evolution of the universe.Every era saw significant changes, so it is crucial to investigate what transpired there.Between 10-43 seconds and 10-35 seconds, the Grand Unified Theory Era took place. Such a brief period of time. This brief period of time is hard to imagine.Light has not yet been created in this era. Because of certain circumstances, such as high temperature and high pressure, particles and molecules still cannot bind.

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Information € 3.4 SCIENCE IN ACTION ATTEMPT 1 notes to answer the following questions. Which statement is true? Choose one. 5 points O When two resistors are connected in series, there is less total current in the circuit than if the two resistors were connected in parallelO When two resistors are connected in parallel, there is less total current in the circuit than if the two resistors were connected in series. O The total current is the same regardless of if the two resistors are connected in series or in parallel.QUESTION 22 Which statement is true? Choose one.5 points O Current varies throughout a series circuit. O Current stays the same through a series circuit.

Answers

Part A) 21 The current falls whenever two transistors are linked in series because the overall resistance rises. However, if you link them in parallel, total resistance is reduced, which causes current to increase. Therefore, choice 1 is correct. In a series circuit, the current is continuous.

Part B) The right answer is that when two resistors are linked in series, less total current flows through the circuit than when they are connected in parallel.

What are resistors used for?

What a resistor is. a passive electrical device that has two terminals and is employed in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.

Where do resistors get their use?

The amount of current flowing through the circuit is affected by any changes in a resistance value. The following are some circuit functions where resistors are used: the musical tone's pitch, and.

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PLEASE HELP URGENT 1. You put 1 gram of salt into 1 liter of water and stir. The resulting liquid is an example of
A. A pure substance.
B. a homogeneous mixture.
C. a heterogeneous mixture.
D. an immiscible mixture.

Answers

C, is correct.

Have a nice day!

What is the relation between the gravitational force acting between any two bodies object with their masses and the distance between their centres?​

Answers

Answer:

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. ... increases, the force of gravity decreases. If the distance is doubled, the force of gravity is one-fourth as strong as before.

how do newtons first and third laws describe the motion of an object?

Answers

Answer:

Newton's laws of motion relate an object's motion to the forces acting on it.

Explanation:

In the first law, an object will not change its motion unless a force acts on it. ... In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Answer:

In the first law, an object will not change its motion unless a force acts on it. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

the escape velocity for a rocket launched from the surface of a planet is v0 . determine the escape velocity for another planet that has twice the mass and twice the radius of this planet.

Answers

Refer to the attached image.
the escape velocity for a rocket launched from the surface of a planet is v0 . determine the escape velocity

PLZ HELP DUE IN 5MINUTES

PLZ HELP DUE IN 5MINUTES

Answers

I think nitrogen as it is the major component

Answer:

Nitrogen is de solvent while others are the solute

What are the possible magnetic quantum numbers (me) associated with each indicated value of £? When l = 2, me = O 0,1,2 O-2, -1,1,2 0 -2,2 O-2, -1,0,1,2 When l = 4, m = O -4.-3.-2, -1.1,2,3,4 0 -4,-3, -2,-1,0,1,2,3,4 O 0,1,2,3,4 O -4,4

Answers

(a) When l = 2, the possible magnetic quantum numbers (mₑ) are -2, -1, 0, 1, and 2.(b) When l = 4, the possible magnetic quantum numbers (mₑ) are -4, -3, -2, -1, 0, 1, 2, 3, and 4.

(a) The magnetic quantum number (mₑ) represents the projection of the orbital angular momentum along a chosen axis. It takes on integer values ranging from -l to +l, including zero. When l = 2, the possible values for mₑ are -2, -1, 0, 1, and 2. These values represent the five different orientations of the orbital angular momentum corresponding to the d orbital.

(b) Similarly, when l = 4, the possible values for mₑ are -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values represent the nine different orientations of the orbital angular momentum corresponding to the f orbital. The range of values for mₑ is determined by the value of l and follows the pattern of -l to +l, including zero.Therefore, when l = 2, the possible magnetic quantum numbers (mₑ) are -2, -1, 0, 1, and 2. And when l = 4, the possible magnetic quantum numbers (mₑ) are -4, -3, -2, -1, 0, 1, 2, 3, and 4.

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Use the following table to answer the question. Standard population for region X:19,000 Standard population for region Y:8,000 What is the proportionate mortality for old people in region Y ? a. 60/108=56% b. 48/117=41% c. 48/60=80% d. 48/108=44%

Answers

Using the Standard population for region, the proportionate mortality for old people in region Y is 80%. The correct answer is option  (c).

To calculate the proportionate mortality, we need to determine the number of deaths among old people in region Y and divide it by the standard population for region Y.

According to the given options, option c is the correct answer, which states that the proportionate mortality is 48/60 = 80%.

This means that out of the standard population of 60 in region Y, 48 deaths occurred among old people. This indicates a high proportionate mortality rate for the elderly population in region Y, reflecting the impact on that age group's mortality in the region.

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A circuit calls for a 0.600 mm -diameter copper wire to be stretched between two polnts. You don't have any copper wire, but you do have aluminum wire in a wide variety of diametars Part A What diameter aluminum wire will provide the same resistance? Express your answer with the appropriate units. Value Units Submit Request Answer Provide Feedback Next >

Answers

The diameter of the aluminum wire that will provide the same resistance as that of a 0.600 mm-diameter copper wire is 0.78 mm.


Firstly, we will find the resistance per unit length (R/L) of the copper wire using the formula:

R/L = ρ/(πr²), where ρ is resistivity and r is the radius.

Now, we have to determine the resistivity values for copper and aluminum.

The resistivity of copper is approximately 1.68 × 10⁻⁸ Ωm, and the resistivity of aluminum is approximately 2.82 × 10⁻⁸ Ωm.

Now, we will calculate the resistance per unit length for the copper wire:
R/L (copper) = (1.68 × 10⁻⁸ Ωm) / (π × (0.3 × 10⁻³ m)²) ≈ 5.942 × 10⁻² Ω/m

Now, we have to find the diameter of the aluminum wire by equating the resistance per unit length of both wires and solving for the radius of the aluminum wire:

R/L (copper) = R/L (aluminum)
(5.942 × 10⁻² Ω/m) = (2.82 × 10⁻⁸ Ωm) / (π × r²)

Now, solve for the radius of the aluminum wire:
r² = (2.82 × 10⁻⁸ Ωm) / (π × 5.942 × 10⁻² Ω/m)
r ≈ 3.9 × 10⁻⁴ m

Converting the radius to diameter:
Diameter = 2 × r

≈ 2 × 3.90 × 10⁻⁴ m

≈ 7.80 × 10⁻⁴ m

≈ 0.78 mm

So, the diameter of the aluminum wire that will provide the same resistance as a 0.600 mm-diameter copper wire is approximately 0.78 mm.

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3. The coefficient of kinetic friction between an object and the surface upon which it is sliding is
0.40. The mass of the object is 3,2 kg. What is the force of friction?

Answers

Answer:

2

Explanation:

a gas confined to a container of volume v has 6.5×1022 molecules. Part A If the volume of the container is doubled while the temperature remains constant, by how much does the entropy of the gas increase?

Answers

When the volume of a container is doubled while the temperature remains constant, the entropy of the gas increases by R * ln(2).

In an isothermal process, the entropy change of an ideal gas can be calculated using the formula ΔS = nR * ln(V2/V1), where ΔS is the change in entropy, n is the number of moles, R is the universal gas constant, and V2 and V1 are the final and initial volumes, respectively.

In this case, V2 = 2V1. Since the number of molecules is given as 6.5 × 10^22, we first need to convert it to moles using Avogadro's number (6.022 × 10^23 molecules/mol).

The number of moles, n = (6.5 × 10^22) / (6.022 × 10^23) = 0.108 moles. Plugging these values into the formula, we have ΔS = 0.108R * ln(2).



Summary: When the volume of a container with a gas is doubled while the temperature remains constant, the entropy of the gas increases by approximately 0.108R * ln(2).

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Una grúa sube en forma vertical un bloque hasta una altura de 4 m, a velocidad constante y en un tiempo de 10 s. La potencia disipada para realizar ese trabajo es de 2000 W. ¿Cuál es el peso del bloque? En esta situación peso=fuerza ya que el desplazamiento es vertical?

Answers

Answer:

5000N

Explanation:

Power = Workdone/Time

Power = force × distance/time

Given

Power = 2000W

Distance (height) = 4m

Time = 10secs

Substitute into the formula to get the weight(force)

2000 = force × 4/10

2000 = 4F/10

Cross multiply

2000×10 = 4F

20,000 = 4F

Divide both sides by 4

4F/4 = 20,000/4

F = 5000N

Hence the weight of the block is 5000N

find the velocity of a baseball thrown across a field a distance of 40 meters it takes the ball 4 seconds to cross the field

Answers

The velocity of a baseball thrown across a field is (V)= 10m/s

What is Velocity?

Velocity of a particle is its speed and the direction in which it is moving.

It can also be described as the instantaneous rate of change of the particle's distance traveled.

How can we calculate the values of the velocity?

To calculate the velocity we are using the formula here,

V= S/t

Here we are given,

S= a distance of a baseball thrown= 40m

t= time to travel the distance = 4 seconds.

Now we put the values in the above equation, we get

V= S/t

Or, V = 40/4

Or, V= 10m/s

So, from the above calculation we can conclude that, the velocity of a baseball thrown across a field is (V)= 10m/s

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Burger Hut is trying to decide if it can receive money from the government for providing employees with insurance. Financial accounting or Management Accounting or Tax Accounting

Answers

We have that with these disciplines well defined, The Form of accounting that speaks the most Burger Huts situation is the discipline of Management Accounting

Firstly we define the Disciplines of Accounting below

Financial accounting

Financial Accounting, this is a branch of accounting that focuses mainly on the Recording,Encapsulating or Summing up and then Releasing a statement bearing the Affairs of a Business over a specific time frame.

Management Accounting

This Branch of accounting focuses on the use of existing Financial positions to make assessment of a business and determine the best way to move the business forward.

Tax Accounting

This is a branch of accounting that focuses on taxation.This branch is governed by stiff rule that ensure that business stay in check.

Therefore

With these disciplines well defined, The Form of accounting that speaks the most Burger Huts situation is the discipline of Management Accounting

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