How much work, in kj, can a spring whose spring con-stant is 3 kn/cm produce after it has been compressed 3 cm from its unloaded length?

Answers

Answer 1

The work done by the spring in kilojoules is 13.5 KJ.

Spring constant of the spring = 3 KN/cm

\( = 3 \times 10 ^{7} \: N/m\)

Spring has been compressed to 3 cm.

So, the displacement covered by the spring = 3 cm

\( = \frac{3}{100} = 0.03 \: m\)

Work done by the spring is,

\(Work \: done = \frac{1}{2} Spring \: constant × (Displacement ) ^{2} \)

\(W = \frac{1}{2} Kx ^{2} \)

\(W = \frac{1}{2} \times 3 \times 10 ^{7} \times (0.03) ^{2} \)

\(W = 13500 \:Joules\)

Thus, the work done by the spring is 13500 Joules.

Now, the work by the spring in kilojoules is,

\(1 \: Kilojoules =1000 \: Joules\)

\(1 \: KJ = 1000 \: J\)

\(1 \: J = \frac{1} {1000} \:K J\)

\(13500 \: J = \frac{13500}{1000}\)

\( = 13.5 \: KJ\)

Therefore, the work done by the spring in kilojoules is 13.5 KJ.

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Related Questions


Auntie Sarah mops the floor by applying a force of 9N at an angle of 60° to the floor, How much work has she done
after mopping a total distance of 10m?

Answers

Answer:

9×1/2×10=45J

Explanation:

\(w = f \times d \times \cot( \beta ) \)

f=9N

d=10m

cos(B)=1/2

Can someone please help me with this?? It's for the Carbon Dioxide And Water Acidity Experiment

Question: Give at least one real-life example where the principles demonstrated in this lab are evident.

Answers

The principles demonstrated in the carbon dioxide and water acidity experiment are evident in many real-life situations such as in the process of ocean acidification.

Explain the process of ocean acidification?

In the process of ocean acidification; as carbon dioxide dissolves in seawater, it reacts to form carbonic acid, which increases the acidity of the ocean. This increased acidity can harm many marine organisms, such as shellfish and coral, by making it more difficult for them to build and maintain their shells and skeletons.

Another example is the effect of carbon dioxide emissions from cars and factories on the acidity of rainwater. When carbon dioxide reacts with water in the atmosphere, it forms carbonic acid, which can make rainwater more acidic. This acid rain can damage buildings, trees, and other structures, and can also harm aquatic ecosystems by lowering the pH of rivers and lakes.

Overall, the principles demonstrated in the Carbon Dioxide and Water Acidity Experiment are relevant to many environmental issues and have important real-life implications.

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Which statement best describes the motion of particles in a solid?
Particles in a solid never move.
Particles in a solid vibrate around a fixed position.
Ο Ο Ο Ο
Particles in a solid are constantly swapping places with each other.
The motion of one particle in a solid is completely unaffected by the other particles.

Answers

Answer:

B

Explanation:

Even though we may not see it, nor feel it, particles in a solid are moving -vibrating. The particles do not move past each other, only vibrate.

PLS HELP, WILL GIVE BRAINLIEST ​

PLS HELP, WILL GIVE BRAINLIEST

Answers

Answer:

B. x = 50, Y = 100 ,Z= 150

sorry if it's wrong

on which factor does the inertia of rest depends​

Answers

Answer:

Inertia depends upon the force applied .

Calculate the momentum of a 1kg box moving at a velocity of 50 m/s.

Answers

the momentum = m * v

m : mass

v : velocity

momentum = 1 * 50 = 50 kg.m/s

Time
This graph shows the results of an experiment where a rubber ball was dropped and the kinetic energy and the potential energy
were tracked. We know that energy can neither be created nor destroyed, only changed in its form. If the blue line shows kinetic
energy and the red line shows potential energy, what can you infer about the relationship between potential and kinetic energy in.
a bouncing ball? Select ALL that apply.
A)
The total amount of energy is always constant.
B)
When potential energy is its highest, kinetic energy is its lowest.
There is a direct relationship between potential and kinetic energy.
D)
When potential energy is its highest, kinetic energy is its highest.
E)
There is an inverse relationship between potential and kinetic energy.

Answers

Answer:

A) B) and E)

Explanation:

6.02 × 104 × 7.54 × 10-6

Answers

Answer:

18882.5728

Explanation:

Calculator.

Answer:

47.200,432

Explanation:

6.02 × 104 = 628,08

628.08 × 7,54 = 4720,6432

4720,6432 × 10 = 47.206,432

47.206,432 - 6 = 47.200,432

What should scientists do when they see that the data collection or analysis
from their experiment has limitations?
A. Decide not to report any of the experimental results.
ОС
B. Repeat the experiment to see if it still has limitations.
C. Ignore the limitations when they draw conclusions.
D. Describe the limitations in detail in their final report.

Answers

Answer:

repeat using same variables

Explanation:

have peer repeat using same variables

What should scientists do when they see that the data collection or analysis
from their experiment has limitations?
A. Decide not to report any of the experimental results.
ОС
B. Repeat the experiment to see if it still has limitations.
C. Ignore the limitations when they draw conclusions.
D. Describe the limitations in detail in their final report.

A proton is released from rest in a region of space with a nonzero electric field. As the proton moves, describe what happens to the electric potential energy of the system, and to the electric potential that the proton experiences.
The electric potential energy...
remains constant.
increases.
decreases.
Incorrect. Tries 2/2 Previous Tries
As it moves, the proton experiences...
lower electric potential.
constant electric potential.
higher electric potential.
Repeat the above question starting with an electron at rest. As the electron moves through a nonzero electric field, what happens to the system's electric potential energy, and to the electric potential experienced by the electron?
The electric potential energy...
remains constant.
decreases.
increases.
As it moves, the electron experiences...
higher electric potential.
lower electric potential.
constant electric potential.

Answers

As the proton moves in a region of space with a non zero electric field, the electric potential energy of the system decreases, and the electric potential that the proton experiences increases.

As a proton is released from rest in a region of space with a non-zero electric field, the electric potential energy of the system decreases. As the proton moves, it experiences a higher electric potential.
When an electron is released from rest in a region of space with a non-zero electric field, the electric potential energy of the system increases. As the electron moves, it experiences a lower electric potential.

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what will you always find in ALL atoms?

Answers

Answer:

All atoms have a dense central core called the atomic nucleus. Forming the nucleus are two kinds of particles: protons, which have a positive electrical charge, and neutrons, which have no charge. All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.

Explanation:

how is speed different from velocity​

Answers

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.

Answer:

Speed is a time for how long an object is moving

Velocity is the direction of an object

40 POINTS AND RLLY EASY

Which option that best describes the planet Jupiter?

Select one:

a.
-largest and most massive planet in the solar system
- has a huge permanent storm that looks like a red spot in images
- has at least 61 moons orbiting it, some of which are very large
- located closer to the sun than Kuiper Belt

b.
-has highest surface temperature of any planet in the solar system
- roughly the same size as Earth
- has a thick carbon dioxide atmosphere
-orbits the sun

C.
- has landforms made by flowing liquid water
- has many huge on its surface
- gets its red color from iron oxide present in soil and rocks on surface
- reflects light from sun
d. -inside of the planet shrunk, forming large cliffs on the surface
- heavily cratered
- no atmosphere
- has mass

Answers

A. Jupiter largest and most massive planet in the solar system

Jupiter has a huge permanent storm that looks like a red spot in images

Jupiter has at least 61 moons orbiting it, some of which are very large

Jupiter located closer to the sun than Kuiper Belt

Which option that best describes the planet Jupiter?

Jupiter came on fifth number from the sun and the Jupiter is the massive planet present in our solar system. It contains the big storms like great red spot. The surface of the Jupiter is gas made giant but the surface of the Jupiter is not solid, but it may have a solid inner core about the size of Earth.

The Jupiter contain at least 61 moons which orbiting the Jupiter . The life on the Jupiter is impossible because the Jupiter contain very much pressure, it has volatile surface and the temperature of the Jupiter is very hot than that of the earth.

So we can conclude that option A is the right answer.

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A (17cm X 17cm) square loop lies in the xy plane The magnetic field in this region of space is B=(0.31t i + 0.55t^2 k)T where t is in seconds.
1) What is the E induced loop at 0.5s
2)What is the E induced loop at 1.0s

Answers

The induced emf in the loop at 0.5s is -0.006301V and at 1.0s is -0.01265V. The magnetic flux is the number of magnetic field lines that move through a surface.

Given that, B = (0.31t i + 0.55t^2 k)T and a square loop of side 17cm lies in the xy plane.At time t = 0.5 sInduced emf, e = -N dΦ/dtWhere, N = number of turnsΦ = Magnetic flux= BA = B (a)² = (0.31 x 0.5) x (0.17)² = 0.006361JWhere a = 0.17m is the length of the side of the square loop.dΦ/dt = dB/dt * A = [(0.31i + 1.1tk)T/s] * (0.17m)²= 0.006301Vi.e., e = -N dΦ/dt= -1 x 0.006301 = -0.006301V

At time t = 1.0 sInduced emf, e = -N dΦ/dtΦ = Magnetic flux= BA = B (a)² = (0.31 x 1.0) x (0.17)² = 0.01272JWhere a = 0.17m is the length of the side of the square loop.dΦ/dt = dB/dt * A = [(0.31i + 1.1tk)T/s] * (0.17m)²= 0.01265Vi.e., e = -N dΦ/dt= -1 x 0.01265= -0.01265V, The number of magnetic field lines that pass through a surface perpendicularly is referred to as magnetic flux.

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Where m0 is the mass of the particle at rest and c is the speed of light. what happens as ? 55.

Answers

The consequences of an equation involving the rest mass (m0) of a particle and the speed of light (c). It asks about the outcome when a specific condition, denoted by "? 55," is met.

Einstein's mass-energy equivalence equation (E = m0c^2), the rest mass (m0) of a particle and the speed of light (c) are involved. When the condition "? 55" is mentioned, it is unclear what specific comparison or action is being referred to. Without further information, it is challenging to determine the consequences or outcome implied by this condition in relation to the given equation. Additional context or clarification would be required to provide a more specific explanation.

It is important to note that Einstein's mass-energy equivalence equation is a fundamental equation in physics, stating that energy (E) is equal to the product of the rest mass (m0) of a particle and the square of the speed of light (c^2). This equation highlights the profound connection between mass and energy, implying that mass can be converted into energy and vice versa. It forms the basis of concepts such as nuclear reactions, particle accelerators, and the understanding of the immense energy released in processes like nuclear fission and fusion. However, without a clear interpretation of the condition "? 55" in relation to the equation, it is not possible to provide a specific explanation of its consequences.

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Wich theorist believed in the collective consciousness

Answers

Answer:

I believe you are talking about Emile Durkheim

Explanation: Fun Fact:

He is most well known as the author of On the Division of Social Labor The Rules of Sociological Method, , and The Elementary Forms of Religious Life

What does the environment where sediments are deposited mean for the rock that eventually forms? Thank you, 100 points for answers!!!!!!!!!!!!

Answers

The environment where sediments are deposited  can relate some information about the  the rock that eventually forms.

What is the  Depositional environment?

Depositional environment  can be described as the part of the earth surface  which posses certain chemical, biology, and physics characteristics where sediments are laid on.

It should be noted that  the depositional environments, could be continental as well as  marginal marine, and marine environments, however the in geology the Sediment serves as the solid material  which can be transported and deposited in the location that is different entirely from the normal  location however the Sediment can  posses rocks as well as minerals, along with remains of plants and animals.

In conclusion, the environment where sediments are deposited   is ablke to give some of the  neccessary information about the  the rock that eventually forms.

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a liquid of density 1457 kg/m3 flows through two horizontal sections of tubing joined end to end. in the first section the cross-sectional area is 4.36 cm2 , the flow speed is 3.4 m/s, and the pressure is 167 kpa . in the second section the cross-sectional area is 2.89 cm2.

Answers

A. Assume incompressible flow

Since volumtric flow rate will be same in both section

Q1 = Q2

A1*V1 = A2*V2

V2 = A1*V1/A2

V2 = 6.9*10^-4*288*10^-2/(3.3*10^-4)

V2 = 6.02 m/sec

B. using bernoulli's equation:

P1/rho + v1^2/2 + g*h1 = P2/rho + v2^2/2 + g*h2

Since pipes are horizontal

h1 = h2

P1/rho + v1^2/2 = P2/rho + v2^2/2

P2 = P1 + (v1^2 - v2^2)*rho/2

P2 = 1.5*10^5 + (2.88^2 - 6.02^2)*1100/2

P2 = 1.35*10^5 Pa

The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.

Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.

The primary unit or the S.I. unit of velocity is m/s or ms?¹.

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If a car traveled 100 km in 2 hr, what was its average speed in km/hr?

average speed =
d =
t =

Answers

Answer:

Average speed will be 50km/hr

Explanation:

Distance/Time

100/2

50kmph

plz mark as brainliest

Answer:

50km/hr

Explanation:

avgspeed=Δdistance/Δtime

Δd=100km

Δt=2hr

=100km/2hr

=50km/hr

174cm=____ m
1.74
17.4
1740
17,400​

Answers

Correct answer is 1.74cm

Answer:

A

Explanation:

Name the component that changes its resistance as the light intensity changes. Give the full name, not the abbreviation.

Answers

Light-Dependent Resistor

name 6 countries where soccer is called football

Answers

Answer:

Brazil, France, Spain ,Puerto rico,Venezuela, Yemen

Explanation:

What is the mass of a book if it’s weight is 30N and the acceleration due to gravity is 9.8 m/s2

Answers

Acceleration due to gravity is 9.8 m/s² then the book weighs 3.06 kg in total.

How is the gravity of 9.8 m s2 determined?

where d denotes the separation between the object's and the earth's centers. The acceleration of gravity is denoted by the symbol g in the first equation above. Its value on Earth is 9.8 m/s2. Alternatively put, the acceleration of gravity at sea level on earth's surface is 9.8 m/s2. Weight of a body on the moon is calculated as follows: mass of the body x lunar gravitational acceleration (30 x 1.62 = 48 N).

Mass times Gravitational Acceleration equals weight.

Weight plus gravitational acceleration equals mass.

mass = 30N ÷ 9.8 m/s²

mass = 3.06 kg

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for t = 6.5 sec, write the element of the discrete sequence corresponding to the function f(t) = t with k = 3. provide your answer in seconds to the nearest first decimal place.

Answers

The element of the discrete sequence corresponding to the function f(t) = t with k = 3 and t = 6.5 seconds is 19.5 seconds (rounded to the nearest first decimal place).

To find the element of the discrete sequence corresponding to the function and t = 6.5 seconds, we can substitute the given value of t into the function and multiply it by the value of k.

f(t) = t

f(6.5) = 6.5

Now, multiply the result by k = 3:

Element = 6.5 * 3 = 19.5

Therefore, the element of the discrete sequence corresponding to the function f(t) = t with k = 3 and t = 6.5 seconds is 19.5 seconds (rounded to the nearest first decimal place).

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What does the law of conservation of momentum mean?
(2 Points)
HELPP PLEASE

What does the law of conservation of momentum mean?

it tells what momentum is.

it is speed.

Answers

The overall momentum of a closed system stays constant if no external forces are acting on it, according to the law of conservation of momentum. The relationship between mass and speed is known as momentum.

The overall momentum of a closed system stays constant if no external forces are acting on it, according to the law of conservation of momentum. The relationship between mass and speed is known as momentum.

According to mathematics, the following can be said of this law: The initial momentum, which existed before any interactions, and the final momentum, which followed those interactions, are equivalent in an isolated system. This indicates that, both before and after an event, the system's overall momentum, made up of all its objects, is unaffected.

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A gauge is reading the pressure at the bottom of a river, at a depth of 6 m. Would the reading be greater or smaller than the reading at the bottom of a lake at the same depth? You must provide a clear explanation for full credit.

Answers

Answer:

The pressure at the bottom of the river is less than that at the bottom of the lake.

Explanation:

From Bernoulli's equation, the pressure difference is given by

ΔP = ρgΔh + ρ(v₂² - v₁²)/2 where ρ = density of water, g = acceleration due to gravity, Δh = depth, v₁ = velocity at top, v₂ = velocity at bottom

For the lake, v₁ = v₂, since the velocity at the top and bottom are the same. So,

ΔP₁ = ρgΔh + ρ(v₁² - v₁²)/2 = ρgΔh + 0 = ρgΔh

P₂ - P₁ = ρgΔh

P₂ = P₁ + ρgΔh

For the river, v₁ < v₂, since the velocity at the top of the river is greater than at the bottom.

So,

ΔP₂ = ρgΔh + ρ(v₂² - v₁²)/2.

Since  v₁ < v₂, ρ(v₂² - v₁²)/2 will be negative,

So,

ΔP₂ = ρgΔh - ρ(v₂² - v₁²)/2.

Since ρ(v₂² - v₁²)/2 is negative, making ΔP less than that in the lake.

So, ΔP₂ = ΔP₁ -  ρ(v₂² - v₁²)/2.

ΔP₂ = P₃ - P₁

P₃ - P₁ = P₂ - P₁ -  ρ(v₂² - v₁²)/2.

P₃ = P₂ - ρ(v₂² - v₁²)/2.

where P₃ = pressure at bottom of the river and P₂ = pressure at bottom of the lake and P₁ = atmospheric pressure at top of river and lake respectively.

Since the factor ρ(v₂² - v₁²)/2 is removed from the pressure at the bottom of the lake, the pressure at the bottom of the river is therefore less than that at the bottom of the lake.

for this question, choose two answers. which forces cause the student and the skateboard to move away from the wall?

Answers

1.gravity 2.frictions. Explanation : gravity when two objects attract to each other. Friction make the object moves.


Fuel crises will occur in future because of a. over use of petroleum
b. use of solar energy
c. over use of bio-gas
d. use of hydro-energy​

Answers

the answer is a. over use of petroleum

A battery has a potential resistance of 12 V and a current of 1280 mA. What is the resistance? PLS HELP ME ASAPPPPPPPPPP

Answers

Resistance (R) = 9.375 ohm (Ω)

Steps:

\(R = \frac{V}{I} \)

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

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

\( = 9.375 \: ohm (Ω)\)

Which of the following has the most kinetic energy?
A. A 25-kg fish tank sitting on a table
B. A 50-g fish swimming in a fish tank
C. A 7,500-kg car parked on a steep hill
D. A 50-kg Boulder suspended from a cliff

Answers

Answer:

The answer is B

Explanation:

Only things that are moving have kinetic energy, therefore B is the only correct answer

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the attitude indicator failed during a flight in instrument conditions. while your instructor was flying the aircraft, you were to evaluate the cause of the failure. although you had passed your systems ground school, under the pressure of the situation you can not remember how the attitude indicator is powered. as a result, you were unable to identify the cause of the problem. which option describes the problem that contributed to this poor judgment? need the answer asap!!! Because heuristics appear to be hardwired into the brain, the consequences include the following, except that Multiple Choice heuristics make people consistently behave in a rational manner. people may be vulnerable to others who understand their hardwired tendencies. people may make behavioral changes if they're exposed to a situation where a heuristic kicks in and starts driving their decision. it is sometimes difficult for people to correct detrimental behaviors or routines. Techology has donemoro harm thangood Which is more, 1,179 grams or 1 kilogram? What is 1 1/8 converted to an improper fraction Point stealers are getting reported!!2-1 enrichment What are nongovernmental organizations quizlet? Which region in Georgia has the highest average temperatures?PiedmontMountainValleyCoastal Plain If f(x)= x^2 lnx, then f (x) = ___ Witch events pressured to join world war 1 (select all that applies) A- heavy losses on the side of the allies B- the sinking of the lusitania C- the interception of the Zimmerman Telegram D- German bombarding the French town of verdun What feature from greek temple architecture did the early christians adopt in st. Peters?. 3. The BH Company is considering using priority scheduling rule in its fabrication shop and must decide whether to use: (1) the critical ratio rule, (2) the orderslack rule, (3) the earliest operation due date rule, or (4) the slack per operation rule. The following table shows the company's current inventory and shopstatusOrder Manufacturing TimeLead Time. Remaining CurrentRemaining. until Due Processing TimeDate1 15 10. 12 16 18. 23 18. 18. 14 12. 19. 25 13. 19. 2Total Number. Total Processingof Operations. Time RemainingRemaining1. 22. 53. 74. 35. 4Note: Time is measured in days. Manufacturing lead-time remaining includes both the machine processing time and the length of time orders spend movingand waiting to be processed in a machine queue.Compute the scheduling priority for each order in table, four sequencing rules. Help me please thanks BRAINLYEST Which act was passed to ban residential discrimination?O the Trade ActO the Privacy ActO the Rent Control ActO the Fair Housing Act if the net force acting on a body is constant, what can we conclude about its momentum? (a) the magnitude and/or the direction of may change. (b) the magnitude of remains fixed, but its direction may change. (c) the direction of remains fixed, but its magnitude may change. (d) remains p fixed in both magnitude and direction. According to erikson, the major personality attainment of adolescence is __________. The price of gas started at 2.30 per gallon and increased at a rate of 5% per year what is the function ? How much will gas be in 4 years? How did the author characterize the response of the white planters? Bondholders' expected rate of roturn) Sakara Co bonds are selling in the market for $950. These 17 -yaar bonds pay 9 percent interest annually on a51.000par value if thex are purchased at the market price, what is the expected rate of return?The bond ts expected rate of return is_____% (Round to two docimal places)