A spring of original length 3.0 cm is extended to a total length of 5.0 cm by a force of 8.0N
Assuming the limit of proportionally of the spring has not been reached calculate the force needed to extend it to a total length of 6.0 cm

Answers

Answer 1
Final answer:

By applying Hooke's Law, which correlates the force exerted by a spring to its displacement from equilibrium, it's calculated that the force needed to extend a spring from an original length of 3 cm to 6 cm, assuming within the limit of proportionality, is 12 Newtons.

Explanation:

This question involves the concept of Hooke's Law in physics. Hooke's Law states that the force exerted by a spring is equal to the spring constant times the displacement from the equilibrium position (i.e., F = kx). In the given scenario, the force (F) is 8.0N, and the extension from its original length is (5.0 - 3.0)cm or 2.0cm, which is 0.02 meters to convert in Standard International unit. We can first calculate the spring constant (k).

Using the above formula, k = F/x = 8 / 0.02 = 400 N/m.

Now, to find the force required to extend the spring to 6.0cm, we need to calculate the new displacement which is (6.0 - 3.0)cm or 3.0cm, or 0.03 meters. Applying Hooke's Law again, the required force (F) would be F = kx =  400 * 0.03 = 12 N. Therefore, the force needed to extend the spring to a total length of 6.0 cm without exceeding its limit of proportionality is 12N.

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Answer 2

To find the force needed to extend the spring to 6.0 cm, we first calculate the spring constant using Hooke's Law. Then, we apply Hooke's Law again to find that the required force is 12.0 N.

To solve this problem, we need to apply Hooke's Law, which states that the force needed to extend or compress a spring by some distance is proportional to that distance:

F = kx

where F is the force applied, k is the spring constant, and x is the extension or compression of the spring from its equilibrium position.

First, we need to find the spring constant k. We are given:

Original length of the spring: 3.0 cmExtended length of the spring: 5.0 cmForce applied: 8.0 N

The extension x is the difference between the extended length and the original length:

x = 5.0 cm - 3.0 cm = 2.0 cm = 0.02 m

Using F = kx:

8.0 N = k * 0.02 m

Solving for k:

k = 8.0 N / 0.02 m = 400 N/m

Now, we need to find the force required to extend the spring to a total length of 6.0 cm:

Extension needed:

x = 6.0 cm - 3.0 cm = 3.0 cm = 0.03 m

Using F = kx again:

F = 400 N/m * 0.03 m = 12.0 N

Therefore, the force needed to extend the spring to a total length of 6.0 cm is 12.0 N.


Related Questions

becquerel thought that ____ was necessary for minerals to give to give off energy that passed through paper?
A- water
B- sunlight
D- uranium

Answers

B sunlight, because the sun has energy and that gives the soil energy and the plant take that energy and is able to grow.

When a covalent bond forms between two atoms how many atoms have a full outer shell of electrons?
A. one
B. two
C. Zero
D. It depends on what the atoms are

Answers

Since there are 2 atoms involved in the covalent bond, there would be 2 atoms that both have a full octet or number of 8 valence electrons altogether, the valence electrons for each atom and the electrons shared.

What does this mean Atoms and elements are the basic back bone of the universe .

Answers

It means every thing is made out of Atoms and some things are element componds so elements are the "backbone" of the compounds.

What is the approximate weight of a 20-kg cannonball on Earth? 2 N 20 N 196 N 1,960 N

Answers

Since weight is the force an object is exerting on another object, and the formula to calculate force is Force = Mass * Acceleration, the answer to your question is 196 N, since the mass of the cannonball times Earth's gravitational pull equals 196 N.

Answer:

Weight of the cannonball, W = 196 N

Explanation:

Mass of the cannonball, m = 20 kg

We need to find its weight on earth. The weight of an object on the earth can be calculated by the product of mass and acceleration due to gravity as :

[tex]W=m\times g[/tex]

[tex]W=20\times 9.8[/tex]

W = 196 N

So, the weight of the cannonball on the Earth's surface is 196 N. Hence, this is the required solution.

A glacier is eroding the land over which it passes. It moves at a rate of 2 m per day. Currently, the glacier is 80 km from a small village. At current rates of movement, how many years before the glacier reaches the village? Plz help its due tomorrow and ill mark u brainliest!

Answers

It's about 110 years. There are 1000 meters in a kilometer so you have to convert 80km into meters, which is 80,000. Once you do that you divide 80,000 by 2 to get 40,000. Then you have how many days it takes to reach the village. You need to find how many years 40,000 days is. Divide 40,000 by 365 and you'll get your answer, about 110 years. Hope that helped!

Final answer:

It would take approximately 109.59 years for the glacier moving at a rate of 2 meters per day to reach the village that is 80 kilometers away.

Explanation:

The student asked how many years it would take for a glacier moving at a rate of 2 meters per day to cover the distance to a village that is currently 80 kilometers away. To solve this problem, we need to first convert the distance from kilometers to meters. Since 1 kilometer equals 1,000 meters, the distance in meters is 80 km × 1,000 = 80,000 meters.

Next, we calculate the number of days it would take to travel this distance by dividing the total distance by the daily movement rate of the glacier. The calculation would be 80,000 meters ÷ 2 meters/day = 40,000 days.

Finally, to find the number of years, we divide the number of days by the number of days in a year. This is 40,000 days ÷ (1 year/365 days) = 109.59 years. So, it would take approximately 109.59 years for the glacier to reach the village at the current rate of movement.

A 13-kg sled is moving at a speed of 3.0 m/s. At which of the following speeds will the sled have twice as much kinetic energy?

Answers

K.E. = 1/2 mv²
K.E. is directly proportional to v^2
So, when K.E. increase by 2, K.E. increase by root. 2
v' = 1.41v
original v value was 3 so, final would be:
v' = 1.41*3 = 4.23
After round-off to it's tenth value, it will be:
v' = 4.2

So, option B is your answer!

Hope this helps!

Help me plz (this is middle school science)

Answers

because the left side gets more landfall of rain than the right side would like a waterfall.

Explanation:          

Location A receives 200cm of rain each year, while Location B receives only 30cm because in location A cloud rises, and it expands and cools down because the surrounding atmospheric pressure decreases, then the cloud gets too large and falls down as rain. Whether in location B, this land is covered by rain shadow and receives less rain.

Once the rain passes from mountain range and it moves down to the other side, warms and dries out. This produces a rain shadow. The land which is covered by rain shadow is very dry and receives less rain. Precipitation and cloud cover the land on windward side of the mountain range.  

If it is June or July and you live in the southern hemisphere, describe the position of the Earth, in relation to the sun, and what type of temperatures you would experience. 

Answers

If it's June or July, then Earth's North Pole will face the "SUN" & South pole doesn't get it during that time. Just because of that, Sun doesn't appear in the southern hemisphere, and you would experience very Cold climate.

Hope this helps!

Amy has a mass of 50kg she is riding a skateboard traveling 10m/s what is her momentum?

Answers

I go to a British school so I'm going to assume momentum = kinetic energy. Not sure if this is what you learnt in class.

KE = 0.5 x mass x velocity^2
KE = 0.5 x 50 x 10^2
KE = 2500 Joules

what is the answer and what would the work be?

Answers

The answer would 18 if you multiply 3*3*2

What is the name of the hair-like structures on sponge cells that move back and forth to help move water, nutrients, and waste through the canal? A. ostia B. flagella C. osculum D. canal

Answers

I think it's B. Flagella

I believe it is B. Flagella. I hope this helps you :)

what are the two main factors that affect how quickly a coastline erodes?

Answers

Factors Affecting the Rate of Erosion. The biggest factor affecting coastal erosion is the strength of the waves breaking along the coastline. A wave's strength is controlled by its fetch and the wind speed.
Final answer:

The topography and climate of an area, particularly wind and temperature, are the key factors determining how quickly a coastline is subject to erosion.

Explanation:

The two main factors that affect how quickly a coastline erodes are topography and climate.

The term 'topography' refers to the arrangement of the natural and artificial physical features of an area, and these physical features, or 'lay of the land', can influence erosion. For example, water runoff can strip away land material, leading to erosion, and steep areas are more prone to erosion than flat or leveled terrains.

On the other hand, the climate of a location, or more specifically wind and temperature, has a significant effect on coastline erosion. Areas characterized by high winds or rapid temperature changes can experience faster erosion due to increased rates of evaporation, transpiration, and disruptions in ocean currents triggered by wind or temperature variance.

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Making a diagram show the forces acting on the coasting bike rider traveling 25 km/h on a flat Roadway

Answers

Up+/down–

According to newton's first law if it is going at a constant 25km/h, Fnet=0, so FN-Fg=0 and thus FN=Fg

-Fg (mg)
FN (-mg)

What type of wave is produced when you move one end of a horizontal spring up and down?

A) Transverse Wave
B) Compression(longitudinal) Wave
C) Both type of waves are produced
D) None of the above

Answers

a. a transverse wave is produced

how come when an object has a greater mass, it has a greater Inertia? and the other way around.

Answers

Inertia is a property of a body to resist the change in linear state of motion. It is measured by the mass of the body. An object having greater mass performing linear motion is difficult to stop. Hence greater the mass greater is its inertia. Hope it helps.

A force is applied to an object at rest with a mass of 100kg. A force twice as large is applied to another object at rest with a mass of 100kg. What differences in their motion would you observe? Explain your reasoning.

Answers

according to Newton's second law. £Fext=m.a
then the acceleration of the second object will be twice as that of the first since the mass of both objects is equal(100kg) and the force F is doubled. Therefore the acceleration of object 2 will be more than that of object 1 (double)

hope this helps.

best regards

acceleration is defined as the rate of change for which characteristic? a. displacement b. position c. velocity d. time

Answers

The answer is velocity.

A physicist wants to examine the characteristics of the new material the physicist will most likely do so by what method?
A survey a group of people
B perform fieldwork in a remote location
C perform laboratory experiments
D make observations of an ecosystem
PLEASE EXPLAIN ANSWER

Answers

c, beacuse when you experiment you can also observe it and laboratory experiments help you discover new matrials

What is one reason why rock layers are not horizontal

Answers

they are not perfectly horizontal because the wind and earth don't always make perfect lines.

Answer:

Because of the deposits.

Explanation:

One of the reasons why rocks layers are not horizontal is because of the deposits and kinds of the walls that are next of the deposits

They are not necessarily always parallel. They have a natural inclination delimited by the walls.

This is determined by the age of the strata; the youngest deposits are taking the form of the oldest deposit.

However, part of the unique factors that determine the deposits (shape and alignment) of the layers are the organisms that lived and, therefore, could be fossilized. These factors are not repeatable since they are organisms that will not exist again.

Fossils are an essential part of the Earth's layers, as they help study the stages and shapes of the layers.

There is also another factor when magma is introduced in the form of a fault line and crystallizes in the middle of the Earth's layers. modifying the sequence of the affected rocks, becoming a young layer (not horizontal, due to its penetration into the layers of the Earth).

Select all that Apple
Which of the following is true about acids A.most acids are sour
B.most acid's Corrode metals
C.every acid contains hydrogen
D.acids have a pH of greater than seven

Answers

B is the correct answer since acid corrode on metals such as carbon, steel, zinc and such.

Which of the following answers describe how to calculate the acceleration of an object?
A. Divide the change in the objects velocity by the time it takes to make that change.
B. Divide the time the object travels by the distance it travels.
C. Calculate the distance the object travels and divide that by the time it takes to get there.
D. Calculate the velocity of an object and divide that by the time the object is in motion.

Answers

I think it's A I hope this is right but I just studied this so I think this is the right answer

A. Divide the change in the objects velocity by the time it takes to make that change.

Explanation:

Acceleration is a vector quantity whose magnitude is given by the following equation:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

where

[tex]\Delta v[/tex] is the change in velocity of the object

[tex]\Delta t[/tex] is the time it took to make the change in velocity

Therefore, we see that this equation corresponds to choice A.

What can cause a gap in the rock record

Answers

unconformities are gaps in the rock record

Answer:

 The gaps in the rock are known as discontinuities that are basically caused by erosion. The unconformities in the rock is mainly caused by the erosion that represent the irregular line on the surface of the rock. The layer of each rock create a gap between the upper and the lower layer.  

Sometimes, the process of the over thrust can cause the gap on the surface of the rocks as the layer of the rock are set one over the another in the geological rock records.

What is the force on a 1000 kilogram elevator that is falling freely under acceleration of gravity only? If the formula is force equals mass times acceleration

Answers

If Earth's gravitational pull is 9.8 meters per second, and the elevator's mass is 1000 kilograms, then the force of the elevator is 9,800.

Find the work done by a 25N force applied for 6 meters

Answers

work done = force x distance

25 x 6 = 150J

Answer: W = 150J

Explanation: The work is defined as a measure of energy transfer when an object is moved by an external force.

So if we are applying a force of 25N for 6 meters, the work is done can be calculated as:

W = F*D where F is a force, and D is distance.

W = 25N*6m = 150 N*m

And Newton*meter = joule, so we have that:

W = 150J

What is the chemical formula for chalk

Answers

CaCO3 calcium carbonate
Chalk is a soft sedimentary carbonate rock, a form
of limestone composed of the mineral calcite.
Calcite is a salt called calcium carbonate or CaCO3.

What is the name of the large pore through which filtered water leaves the body of the sponge? A. ostium B. flagellum C. osculum D. canal.

Answers

b.flagellum
hope this helped

The name of the large pore through which filtered water leaves the body of the sponge is osculum. The correct option is C.

What is a sponge?

Sponges, members of the phylum Porifera, are a basal animal clade and the diploblasts' sister.

They are multicellular organisms with pores and channels that allow water to circulate through their bodies, which are made up of jelly-like mesophyll sandwiched between two thin layers of cells.

To obtain energy, animals require nutrients from other animals and plants. Because sea sponges lack chloroplasts and do not generate energy from sunlight, they are classified as animals.

Water is pumped directly into the sponge through pores called ostia and then out through an opening called the osculum.

The spongocoel is lined with choanocytes, which are specialized digestive cells that filter and absorb food.

Thus, the correct option is C.

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Roseanne heated a solution in a beaker as part of a laboratory experiment on energy transfer. After a while, she noticed the liquid solution began to circulate within the beaker. What process involving heat transfer did Roseanne observe inside the beaker?

Answers

The process involving heat transfer did Roseanne observe inside the beaker is known as convection.

What is convection?

The process of convection involves the movement of heated fluid, including air or water, in order to transfer heat.

Natural convection is caused by the fact that most fluids have a tendency to expand when heated, which causes them to become less thick and rise due to increased buoyancy.

The consistent heating of air inside a heated room or water in such a kettle is due to circulation generated by this effect: heated molecules widen the space that it move in by moving faster toward one another, raise, and thereafter cool and close again, increasing density and causing a consequent sinking.

Forced convection refers to the movement of fluid by means other than those brought on by changes in density with temperature.

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Roseanne observed convection, where heat is transferred through the liquid in the beaker, causing hot liquid to rise and cool liquid to sink, which forms a circulation pattern. This process continues with the presence of a heat source.

Roseanne observed the process of convection inside the beaker during her laboratory experiment involving heat transfer. In this process, the heat transferred to the solution causes the hotter, less dense liquid to rise, while the cooler, denser liquid sinks. This creates a circulation pattern within the beaker as the warmer part of the solution expands and rises, transferring heat to other regions, and the cooler part of the solution descends. This circulation due to convection continues as long as there is a heat source to maintain the temperature difference.

Common examples of convection in daily life include a barista steaming milk to make hot cocoa, or the natural circulation patterns observed in the atmosphere due to the heating of the Earth's surface by the sun. It is one of the three methods of heat transfer, which also include conduction and radiation.

How can friction also be considered as an advantage in real life ?

Answers

it can help by stoping a bike because the brakes are not always enogh

describe how pieces of rope move as waves pass

Answers

Well, as the waves move it moves the rope as if its trying to take shape of it. Since the rope it light it will move along the ocean and the ocean will keep pushing up on the rope. (even without the waves the water is pushing the rope up so it can take its shape)

Maybe that'll help

As waves pass through a rope, the rope's particles move up and down in a transverse wave pattern, while the wave energy travels horizontally along the rope's length.

When waves pass along a rope, the motion of the rope can be described as a transverse wave. Each particle (or atom) within the rope moves in a direction perpendicular to the wave's direction of travel, generally up and down.

As a wave travels from one end of the rope to the other, the particles of the rope move up and down but their horizontal position doesn't carry along with the wave. Instead, it is the wave's energy that moves along the rope.

Imagine tying a ribbon to the middle of the rope. As the wave passes through that point, the ribbon will move vertically (up and down), illustrating the motion of a single particle within the rope.

The wave itself travels horizontally along the length of the rope. This is similar to the movement observed when wind creates waves on water. Particles of water move in circular orbits; however, in the case of a rope, the particles simply move up and down.

The direction of the pulses, or waves, is from the point where the wave is initiated to the other end of the rope. If an observer were to generate a wave by quickly flicking one end of the rope, they would see a series of peaks and troughs traveling away from them along the rope. This represents the energy being transferred through the medium, in this case, the rope.

Why can certain stars sometimes be identified as eclipsing binary stars?

Answers

They become dimmer at regular intervals. 

This question is incomplete. Here is the complete question:

1. Why can certain stars sometimes be identified as eclipsing binary stars?

A. They are brighter than any single star

B. They are all white dwarfs

C. They become dimmer at regular intervals

D. They are cool red stars

Answer:

The correct answer is option C. They become dimmer at regular intervals .

Explanation:

Eclipsing binary stars are those that we can see as a point of light, but in reality they are two stars that orbit one close to the other.

When one star passes in front of the other, the observer can see how the intensity of the brightness varies. Algol is the best known eclipsing binary star and has an eclipse interval of 173 hours (2.9 days).

These stars orbit an eclipsing binary star system, where one star outshines another.

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