You are handed a spring that is 0. 400 m long. You hang the spring from a hook on the ceiling and attach a 0. 750-kg mass to the other end of the spring. The stretched spring length is 0. 450 m. What is the spring constant?

Answers

Answer 1

The spring constant is defined as the force required to extend a spring by a unit length. It is denoted by k.The spring constant of the given spring is 147.15 N/m.

This relationship can be represented as F=kx, where F is the force applied, x is the displacement of the spring from its equilibrium position, and k is the spring constant. In this problem, we can use the given values of the mass and the displacement of the spring to calculate the spring constant.
First, we need to calculate the force applied to the spring. This can be done using the formula F=mg, where m is the mass and g is the acceleration due to gravity. Substituting the given values, we get:
F = 0.750 kg * 9.81 m/s² = 7.3575 N
Next, we can use the formula for the displacement of the spring, which is x = ΔL = L - L₀, where L is the stretched length of the spring and L₀ is the unstretched length of the spring. Substituting the given values, we get:
x = 0.450 m - 0.400 m = 0.050 m
Finally, we can use the formula F=kx to calculate the spring constant k. Substituting the values of F and x, we get:
k =\frac{ F}{x }= \frac{7.3575 N}{0.050 m }= 147.15 N/m
Therefore, the spring constant of the given spring is 147.15 N/m.

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Related Questions

A que profundidad esta nadando una persona dentro de una alberca si la presión absoluta sobre ésta es de 156kPa?

Answers

Answer:

La persona está nadando en la alberca a una profundida de 5.575 metros.

Explanation:

La presión absoluta ([tex]P_{tot}[/tex]) experimentada por la persona es la suma de la presión atmosférica ([tex]P_{atm}[/tex]) y la presión hidrostática de la columna de agua de la alberca ([tex]P_{h}[/tex]), medidas en kilopascales. Es decir,

[tex]P_{tot} = P_{atm}+P_{h}[/tex] (1)

[tex]P_{tot} = P_{atm} + \frac{\rho\cdot g \cdot z}{1000}[/tex] (2)

Donde:

[tex]\rho[/tex] - Densidad del fluido de la alberca, medida en kilogramos por metro cúbico.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo al cuadrado.

[tex]z[/tex] - Profundidad de la persona en la alberca, medida en metros.

Si sabemos que [tex]P_{atm} = 101.325\,kPa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]P_{tot} = 156\,kPa[/tex], entonces la profundidad de la persona en la alberca es:

[tex]156 = 101.325 +\frac{(1000)\cdot (9.807)\cdot z}{1000}[/tex]

[tex]54.675 = 9.807\cdot z[/tex]

[tex]z = 5.575\,m[/tex]

La persona está nadando en la alberca a una profundida de 5.575 metros.

what is equilibrium state​

Answers

Answer:

A state of rest or balance due to the equal action of opposing forces.

Answer:

a state of rest or balance due to the equal action of opposing forces. equal balance between any powers, influences,etc

Explanation:

Una pelota de golf se suelta desde el reposo del techo de un edificio muy alto. Despreciando la resistencia del aire, calcule (a) la posicion y (b) la velocidad de la pelota despues de 1s, 2s y 3s.

Answers

Answer:

a)   y = y₀ - 4.9, v = -9.8 m / s, b)  y =y₀ - 19.6,  v = - 19 m / s

c)  y =y₀ - 44.1, v = - 29.4 m / s

Explanation:

To solve this exercise let us use the kinematic relations

          y =y₀ + v₀ t - ½ g t²

          v = v₀ - g t

They indicate that the body is released therefore the initial velocity is zero v₀ = 0

          y = y₀ - ½ g t²

          v = - gt

a) the position and velocity for t = 1s

         y = y₀ - ½ 9.8 12

         y = y₀ - 4.9

         v = - 9.8 1

         v = -9.8 m / s

the negative sign indicates that the velocity is directed downwards

b) t = 2 s

         y =y₀ - ½ 9.8 2 2

         y =y₀ - 19.6

         v = - 9.8 2

         v = - 19 m / s

c) t = 3 s

        y = y₀ - ½ 9.8 3 2

        y =y₀ - 44.1

        v = - 9.8 3

        v = - 29.4 m / s

Two objects, A and B, are in contact with one another. Initially, the temperature of A is 50 °C and the temperature of B is 100 °C. 1. **The particles of which object (A or B) initially have a greater average kinetic energy? How do you know?​

Answers

Answer:

B

Explanation:

because kinetic energy is directly proportional to temperature so the hottor the object, the more kinetic energy.

why is sun called a source of light??​

Answers

Answer:

because he give heat and energy

Which of the following statements is correct about air temperature?

1. When air temperature is higher, the weather is warmer.
2. Warm air falls to the ground.
3. Freezing air temperatures increase the chances of rain.
4. When air temperature is higher, the weather is colder.

Answers

Explanation:

Warm air falls to the ground

The statement that is correct about air temperature is when the air temperature is higher, the weather is warmer. The correct option is 1.

What is air temperature?

A measurement of the air's heat or cold is its temperature. It is the weather parameter that is most frequently measured.

The kinetic energy, or energy of motion, of the gases that make up air, is more explicitly described by temperature. The temperature rises as gas molecules move more swiftly.

Surface temperatures are typically hotter than air temperatures. Parking your car in the sun is an illustration of this. The air inside the car will be fairly close to the outside air temperature and you may leave the windows down and yet have excellent ventilation.

Therefore, the correct option is 1. When the air temperature is higher, the weather is warmer.

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calculate the pressure exerted on the floor when an elephant who weighs 2400N stands on one foot which has an area of 0.4m squared​

Answers

Answer:

6000pa

Explanation:

force= 2400N

area= 0.4m

pressure=?

now,

p= f/a

p= 2400/ 0.4

therefore,P=6000 pa.

Theo and Kelly are fighting over a remote control. Theo is pulling with a force of 32 N to the left and Kelly is pulling with a force of 38 N to the right. What is the final net force and direction of movement of the remote?

Answers

Answer:

6N to the right

......

.....

What patterns are caused by the Earth, Sun, and Moon systems?

Answers

Earth's rotation and orbit and the Moon's orbit cause observable patterns (Day and night, seasons, phases of the Moon, tides).

The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.

What patterns are caused by the Earth, Sun, and Moon systems?

The Earth, Sun, and Moon systems create several patterns, including:

Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.

Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.

Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.

Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.

Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.

These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.

Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.

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Which box depicts the simplest level of organization?
A) P
B) Q
C) R
D) S

Answers

Answer: C) R

Explanation: This answer is a cell, which is the smallest organism depicted. It would then go Q (tissue) which is made up of cells, then P) which is made of tissue, then S) the human body which is made of organisms, tissues, and cells.

The box that depicts the simplest level of organization is R. Thus, option C is correct.

What is cell ?  

Cell is defined as the structural and functional base of life and it has been the building block of all living things and the cell is surrounded by a protective membrane known as cell membrane.Prokaryotic cell is made up of single cell and found in unicellular animals.

Cell is generally of two types and these are eukaryotic as well as prokaryotic cell. Prokaryotic cell is made up of single cell and found in unicellular animals. The eukaryotic cell is made up of multiple cell and they contain cell organelles and these are present in multicellular animals.

The outermost part of brain has been known as dura mater that consist of a strong membrane layering and it is thick located just behind the skull and vertebral column.

Therefore,The box that depicts the simplest level of organization is R. Thus, option C is correct.

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Question 5: Which object traveled at a faster speed? (Make sure to show your
work!!)
Object A: 65 miles in 13 minutes
Object B: 125 miles in 25 minutes

Answers

Answer: objects A and B have the same speed.

Explanation:

Speed = distance divided by time.

Object A: 65 miles in 13 minutes

Speed (A) = 65 miles divided by 13 minutes

Speed (A) = 5 miles per minute

Object B: 125 miles in 25 minutes

Speed (B) = 125 miles divided by 25 minutes

Speed (B) = 5 miles per minute

Thus, objects A and B have the same speed.

What is the SPEED of a train that travels 15000 meters in 1200 seconds (20 minutes)?

PLEASE SHOW WORK!!!! EASY POINTS!!!!

Answers

Answer:

27.9617 mi/h

Explanation:

Speed= distance/time

S= 15000/1200

5. A car accelerates from 0 to 72 km/hour in 8.0 seconds. What is the car's acceleration?

Answers

Answer:

2.5 m/s

Explanation:

There are calculators online that can help you easily calculate the accerlation.

What was an ill effect of the industrial revolution?
A)air pollution
B)crowded and unhealthy conduction in cities
C)child labor
D)all of the above

Answers

Answer:

answer is option (c) child labour

A student release a ball from a height of 1.5 above the floor. Which of the following statements best describes the energy of the ball as it falls?

Answers

We need the statements to answer the question

A 1.0kg cart moving right at 5.0 m/s on a frictionless track collides and
sticks to a second cart moving left at 2.0 m/s. The two carts have a final
speed of 1.0 m/s to the left.
What is the mass of the second cart?

Answers

Let’s use the *queue dramatic voice* LAW OF THE CONSERVATION OF MOMENTUM!
m1v1i + m2v2i = m1vf + m2vf

m1v1i - m1vf = m2vf - m2v2i

m1(v1i - vf) = m2(vf - v2i)

m2 = [m1(v1i - Vf)] / (vf - v2i)

m2 = [(1)(5 - -1)] / (-1 - -2)

m2 = 6 / 1

m2 = 6 kg
And that’s your final answer! Please press “Thanks”!

1. Which of the following best describes social
dances?​

Answers

Answer:

this are dances formed mainly in communities.

Explanation:

they are done naming of children,worshipping or during initiation ceremonies

the Himalayas are the highest mountain in the world (positive)​. grammar question

Answers

Answer:

positive degree:

No other peak of the Himalayas is as high as Mount everest

what type of em waves is fm radio? And how it is used in wireless communication?​

Answers

Answer:

Radio waves are used for wireless transmission of sound messages, or information, for communication, as well as for maritime and aircraft navigation. The information is imposed on the electromagnetic carrier wave as amplitude modulation (AM) or as frequency modulation (FM) or in digital form (pulse modulation).

Explanation:

True or False. A compound is formed when two or more elements are combined to make a new substance with its own properties.

Answers

I believe that the answer is true

Answer:

true

Explanation:

did the quiz

All weather stations have to make weather observations at the same time of the day.

True
False

Answers

Answer:

false

Explanation:

Answer:

True

Explanation:

The answer is true do not listen to the other person they will get you wrong just look at the votes between mine and the other person's (hint like my answer and rate 5 stars so other people know what to pick)

Pleaseee can u help with q 3 and 4

Answers

Answer:

Number 4 is C.

Explanation:

Trust me

Answer:

number 3 = A and number 4 = c

Explain the advantages and disadvantages of having a racecar with a large mass in reference to Newton’s 1st law of motion. Use the term inertia in your answer.

Answers

Answer:

read the explanation

Explanation:

My answer to research question one is a car with a higher mass has more inertia than a car with a lower mass. A car with a higher mass needs more force to move than a car with a lower mass. The advantage of a car with greater mass is that it takes less impact when crash happens and has more protection.

The advantage of a race car with large mass is that it will continue moving without stopping once it is already in motion.

The disadvantage of a race car with large mass is that it will be difficult to get it start moving.

The Newton's first law of motion states that, an object in a state of rest or uniform motion in a straight line will continue in that form unless it is acted upon by an external force.

This first law is also known as law of inertia because it depends on mass of the object.

Inertia is reluctance of an object to move or stop moving once it is in motion.

Thus, the advantage of a race car with large mass is that it will continue moving without stopping once it is already in motion.

The disadvantage of a race car with large mass is that it will be difficult to get it start moving.

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A car is moving with 15000J of energy. If the car has a mass of 1500kg, how fast is it moving?

Answers

Answer:

V=4.5 m/s

Explanation:

KE=1/2mv^2

1500=1/2(15000)v^2

answer :4.5m/s

Explanation:

V=30,000J/1500kg

V=20m²/s²

V=4.5m/s

Qué estudios se realizan en la actualidad para utilizar la electricidad de una manera más eficiente?

Answers

Answer:

Se realizan estudios en tres áreas: a) Procesos de transformación de la energía, b) Almacenamiento de la energía, c) Gestión inteligente entre consumo y generación.

Explanation:

Actualmente, se están realizando estudios en principalmente en tres áreas cruciales: a) Procesos de transformación de la energía, b) Almacenamiento de la energía, c) Gestión inteligente entre consumo y generación.

a) Se están desarrollando nuevos materiales que permiten mayor eficiencia entre la energía recibida y la energía eléctrica, además de una mayor durabilidad frente a las condiciones ambientales. Esto implica el mejoramiento del desempeño de las tecnologías basadas en las energías renovables y limpias, acortando su brecha con las energías no renovables.

b) Se están desarrollando nuevos materiales que garanticen una mayor densidad energética y mayor durabilidad, significando baterías más compactas, con mayor capacidad y más competitivas económicamente.

c) Se están desarrollando estrategias de control inteligente a tiempo que permite sincronizar el consumo y la generación, además de posibilitar el flujo bidireccional de la energía a través de una red inteligente (smart grid) e integrar mejor las fuentes renovables dentro de la matriz energética.

True or false. Your weight will change on the moon

Answers

The answer to this is true
hi! i searched online, and it says an object on the moon weighs less than it does on earth, so true.

hope this helps!:)

A vector is defined by its direction and length; its location does not
matter.

A:True

B:False​

Answers

False.

a quantity  having direction as well as magnitude, especially as determining the position of one point in space relative to another.Vectors are quantities that are fully described by magnitude and direction. Not Length!

Answer:

B.) False

Explanation:

Please put my answer as brainlist answer

I hope it helps you

Mercury has the most eccentric (least circular) orbit of all the planets in the Solar System. At aphelion it is 0.467 AU from the Sun while at perihelion it is only 0.308 AU from the Sun. What is Mercury's orbital period in Earth-days?

Answers

Answer:

Mercury's orbital period is approximately 88 days

Explanation:

Mercury's orbit parameters given in the question are;

Mercury's aphelion distance, Rₐ = 0.467 AU

Mercury's perihelion distance, [tex]R_p[/tex] = 0.308 AU

Therefore, the average distance from Mercury to the Sun, 'a', is given as follows;

[tex]a = \dfrac{R_a + R_p}{2}[/tex]

By plugging in the values of 'Rₐ' and '[tex]R_p[/tex]', we get;

[tex]a = \dfrac{R_a + R_p}{2} = \dfrac{0.467 \, AU + 0.308 \, AU}{2} = 0.3875 \, AU[/tex]

a = 0.3875 AU

According to Kepler's third law, we have;

P² = k·a³

Where;

P = The orbital period of the plane

a = The average distance from Mercury to the Sun

k = Constant

When k = 1, we have;

P² = a³

∴ P = √(a³)

From which we have;

P = √(0.3875 AU)³ ≈ 0.241216804711 years

P ≈ 0.2412168 years

1 year = 365 days

∴ 0.241216804711 years = 0.241216804711 years × 365 days/year ≈ 88.0441337 days

0.241216804711 years ≈ 88.0441337 days ≈ 88 days

Mercury's orbital period, P ≈ 88 days.

A car driving at a constant velocity of 15 m/s has what acceleration? PLEASE HELP

Answers

Answer:

32

Explanation:

lonic and Covalent compound formed through atomic bond formation. With the given
chemical formula, write the characteristic of the given properties.​

Answers

Answer:

1) Sucrose C₁₂H₂₂O₁₁

Common name; Sugar

Types of Compound ; Covalent Compound

Melting point; No melting point, it decomposes when heated

Electrical conductivity; Does not conduct electricity when dissolved in water

Solubility in water; Soluble in water

2) C₉H₈O₄ (Acetyl Salicylic acid)

Common name; Aspirin

Types of Compound ; Covalent Compound

Melting point; High

Electrical conductivity; Does not conduct electricity when dissolved in water

Solubility in water; Slightly soluble in water

3) NaCl (Sodium Chloride)

Common name; Salt

Types of Compound ; Ionic Compound

Melting point; High

Electrical conductivity; Conducts electricity when dissolved in water

Solubility in water; Soluble in water

4) C₅H₈NO₄Na (Monosodium Glutamate (MSG)

Common name; Vetsin

Types of Compound ; Ionic Compound

Melting point; High

Electrical conductivity; Conducts electricity when dissolved in water

Solubility in water; Soluble in water

5) C₈H₁₈ (Octane)

Common name; Common gasoline

Types of Compound ; Covalent Compound

Melting point; Low

Electrical conductivity; Does not conducts electricity and insoluble in water

Solubility in water; Relatively insoluble in water

Explanation:

Other Questions
Citrate is formed by the condensation of acetyl-CoA with oxaloacetate, catalyzed by citrate synthase:Oxaloacetate + acetyl-CoA + H2O citrate + COA + H+In rat heart mitochondria at pH 7.0 and 25 C, the conditions of reactants and products are as follows: oxaloacetate, 1 M; acetyl-CoA, 1 M; citrate, 220 M and CoA, 65 M . The standard free-energy change for the citrate synthase reaction is - 32.2 kJ/mol. What is the direction of metabolite flow through the citrate synthase reaction in rat heart cells under the concentrations of reactants and products given? Comprehensive standards and variances problem (Learning Objectives 1, 2, 3, 5, & 6)Nautical Awning manufactures awnings and uses a standard cost system. Nautical allocates overhead based on the number of direct labor hours. The following are the company's cost and standards data:Direct material 18.0 yards per awning at $10.00 per yardDirect labor 2.0 hours per awning at $13.00 per hourVariable MOH standard rate $5.00 per direct labor hourPredetermined fixed MOH standard rate $10.00 per direct labor hourTotal budgeted fixed MOH cost $34,000Actual cost and operating data from the most recent month follows:Purchased 35,460 yards at a total cost of $333,324Used 31,300 yards in producing 1,800 awningsActual direct labor cost of $45,457 for a total of 3,470 hoursActual variable MOH cost $19,085Actual fixed MOH cost $39,500All manufacturing overhead is allocated on the basis of direct labor hours. Can an object with less mass have more rotational inertia than an object with more mass?a. Yes, if the object with less mass has its mass distributed further from the axis of rotation than the object with more mass, then the object with less mass can have more rotational inertia.b. Yes, if the object with less mass has its mass distributed closer to the axis of rotation than the object with more mass, then the object with less mass can have more rotational inertia.c. Yes, but only if the mass elements of the object with less mass are more dense than the mass elements of the object with more mass, then the rotational inertia will increase.d. No, mass of an object impacts only linear motion and has nothing to do with rotational motion.e. 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(the sum is the only output nothing else) 1. what is the best way to eliminate the risk of teen pregnancy?2. How can Choices made in the teen years result in positive or negative consequences in later years?3. How are teenagers at risk for contracting HIV/AIDS?4. Why do you think so many young people are contracting HIV/AIDS? Please Please I need help it's due!! a neuron and a muscle cell both express the same gene (gene z). however, the mature mrna of gene z found in the neuron is 400 nucleotides longer than the mature mrna in the muscle cell.A. Explain how these two differing mRNA transcripts were producedB. How do repressor/activator proteins aid in this process? what were the major changes in the situation? which changes were under the controlof the manager? which were conrtolled be workers? e Case Study Of Employee Turnover.pdf answer the following questions("Case Study of Employee Turnover at Ice Cream Deli in Mexico")1.Which results are systematic or confirmed by the two methodologies used to evaluate causes of turnover?2. Are there any distinct results between the methodologies used?3. Would you recommend the use of more than one methodology when analyzing causes of turnover? Why?4. From your point of view, which is the strongest cause of high undesirable turnover in "Ice Cream Deli"? .5. If you were on the consultant team, how would you commit senior management to lower the turnover rates?6. If you were on the consultant team, what retention initiative would you suggest for this organization?7. If you were the manager, what strategy would you implement in order to reduce high turnover in "Ice Cream Deli" and why?8. Which is more expensive - the cost of doing necessary things to retain your most valuable people or the cost of losing and replacing those people? What are the major classes of mortgage related securities? QUESTION 40 "If the exchange rate is 25 Korean won per US$, a jar of kimchi costs 150 won in South Korea, and a jar of kimchi costs $8 in New York, then a.the real exchange rate is greater than one and there is an arbitrage opportunity to buy kimchi in South Korea and sell in New York b.the real exchange rate is greater than one and there is an arbitrage opportunity to buy Kimchi in New York and sell in South Korea c.the real exchange rate is less than one and there is an arbitrage opportunity to buy kimchi in South Korea and sell in New York d.the real exchange rate is less than one and there is an arbitrage opportunity to buy kimchi in Newpork and sell in South Korea Operating expenses for the year allocated to this project total $41,860. Lots unsold at the year-end were as follows. Group 15 lots Group 27 lots Group 32 lots All of the following are examples of unintentional torts except:TrespassingProduct liabilityCarelessnessDangerous materials a wave has angular frequency 30.0 rad/srad/s and wavelength 2.10 mm What is its wave number? What is its wave speed? Random variables X and Y have joint pdf, (x, y) = { 1/2, 1 x y 10 otherwise(a) What is (x)?(b) What is (y|x)?(c) What is [| = x]?(d) What is []?(e) Are X and Y independent? The Figure shows a circuit with an ideal battery 40 V and two resistors R1 = 6 and unknown R2. One corner is grounded (V = 0). The current is 5 A counterclockwise. What is the "absolute voltage" (V) at point c (upper left-hand corner)? Total FR calculate 95onfidence intervals for the estimations of the means for these 5 and 20 sample sets (students t distribution, assuming that is not known). how good these estimations? A meter stick is pivoted at a point a distance a from its center and swings as a physical pendulum. Of the following values for a, which results in the shortest period of oscillation?A. 0.1 mB. 0.2 mC. 0.3 mD. 0.4 mE. 0.5 m How would you prevent the objects on the clock-face from disappearing when clicking on them? A. Make the clock update faster than the painting method. B. Change the material of the clock to make it stronger C. Make a layer transparency D. Add a custom layer for the clockface and painted objects