A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l

Answers

Answer 1

The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.

How to compute the equation?

From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.

For case 2, f = mg = kx₂.

Therefore, we'll equate the equations. This will be:

Kx₁ = Kx₂

(K/2)x₁ = (2k)x₂

K(x₁/2) = k(2x₂)

X₁/2 = 2x₂

X1 = 2 × 2x₂

X₁ = 4X₂.

In conclusion, X₁ = 4X₂.

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Answer 2

X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

For case 1;

f=mg=kx₁

For case 2;

f=mg=kx₂

After equating the equation we get;

[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]

Hence  X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

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Related Questions

Circuit A has a voltage of 10 V, and circuit B has a voltage of 15 V Which statement about the circuits is correct? (1 point)
If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the
current in circuit B.
If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater
than the current in circuit B.
If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance
in circuit B
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than
the resistance in circuit B.

Answers

If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

Ohms Law

Ohms law states that the volatge in a circuit is directly proportional to the current flowing in the circuit.

V = IR

Where;

V is voltageI is currentR is resistance

The given voltage in the circuits

Circuit A = 10 VCircuit B = 15 V

At equal resistance, the current flowing in circuit B will be greater than circuit A since circuit B has more voltage.

However, If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

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C
- CONNECTIONS
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much love! <33

The average speed of a car that travels 100 miles in 4 hours is

Answers

speed = distance / time

speed = 100miles / 4hrs

speed = 25mph (miles per hour)

a woman weighs 580 N . what is her mass?

Answers

Answer:

The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.

Explanation:

59.18 kg

Hope this helps! :)

Which temperature scale does NOT have negative values?
Celsius
Fahrenheit
Kelvin
All of these are correct

Answers

Answer:

Kelvin scale degrees

Explanation: The Kelvin scale starts at 0°k, the lowest possible temperature, as at this point, all movement stops at an atomical level.

Answer:

Kelvin

Explanation:

Kelvin is the only temperature scale that when it hits 0, the universe would be frozen. it is the lowest possible temperature.

Question 3
The FRC robot is rushing to pick up a game ball to shoot. The robot
is at rest and then it travels 30m in 1.96s. What is the robot's
acceleration in this time?

Answers

Answer:

15.61 m/s^2

Explanation:

From 3 rd equation of motion

s=ut+1/2at^2

given s = 30

u= 0 ( as body was at rest)

t= 1.96s

30=0*1.96+1/2a(1.96)^2

30=0+1/2a(1.96)^2

a=2*30÷(1.96)^2

a= 15.61 m/s^2 (approx)

state two factors that affect the type of Shadows formed ​

Answers

Answer:

The two factors that affect the type of Shadows formed are stated below ::

The distance between the source of land and the object. The angel where the ray of light falls on the object.

Answer:

The distance of the source of light from the object.

The angle at which the light rays fall on the object.

The size of the opaque object.

The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.

If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.

Explanation:

picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️

It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.

Hope you like this

Answer it or you are bad in physics

Answers

Answer:

1.water evaporates from the sea

2.water rises in warm air

3.water vapor is cooled and form clouds

4.clouds move and water falls on land as rain

5water travels along a rive to the sea

Explanation:

and that is how the water cycle works

A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.

Answers

The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Angular speed of the automobile

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

Maximum velocity

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

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Diffraction explains

Diffraction explains

being able to hear sounds from outside a room throughout the whole room

creating images to adjust for eye problems

allow for the formation of rainbows

transmit images over long distances

Answers

An  example of diffraction is being able to hear sounds from outside a room throughout the whole room.

What is diffraction?

The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.

One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.

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Select the correct answer.
Which of the following social events are often centered around sporting events?
A. Tailgate Parties
B. Parades
C. Pep Rallies
D. All of the above

Answers

D all of them is the answer. All three can be used to celebrate sporting events

What is the difference between a moon and a planet.

Answers

Answer:

A planet revolves around the Sun and a moon orbits a planet. Technically, the moon also orbits the Sun as it spins around its planet, but because it has its own sub-orbit of a planet scientists define it as a moon. All planets in our solar system, except for Mercury and Venus, have moons. Earth has one moon, Mars has two, Neptune has thirteen, Uranus has twenty-seven, Jupiter has sixty-six, and Saturn has sixty-two. Pluto, now classified as a dwarf planet, has five moons.

What is the difference between gravity and acceleration?

Answers

Aceleration refers to motion but gravity refers to force



Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth

Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

[tex]\rm a = \frac{v-u}{t}[/tex]

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of the ball

Gravitation is a natural law by which all things with all matter are attracted towards one another.

g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.

The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².

Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.

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A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.

Answers

In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.

What is a convex lens?

A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.

In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.

In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.

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From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:

Answers

Answer:

Label A: Virtual Image

Label B: Object

Label C: Focal point

Explanation:

Label A: Virtual Image

Label B: Object

Label C: Focal point

What is an eye ?

The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.

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How do we use information from earths climate change data in order to engineer soulutions that reduce carbon emissions and impact of human activities?

Answers

Answer:

That is a very broad question. One thing that does not seem to be considered is the depletion of the ozone layer at high altitudes.

In the 1960's chlorofluorcarbons (CFC,s) became popular as refrigerants, spray can propellants, etc.  In January 1989 the Montreal Protocol was passed which has greatly reduced the use of these substances. However, it may be several decades before the ozone layer can be replaced and again absorb harmful ulraviolet rays that may be partly responsible for the increase in global warming.  

(One chlorine atom at high altitudes can be responsible for the destruction of 100,000 molecules of ozone - catalytic reaction)

When do humans store fat molecules in their bodies? (1 pt. ) *

1. Humans store fat molecules every time they eat anything that contains Calories.

2. Humans store fat molecules when they eat food with a lot of fat.

3. Humans store fat molecules when they eat junk food.

4. Humans store fat molecules when they eat more Calories than they need.

Answers

Answer- 2. Humans store fat molecules when they eat food with a lot of fat.

If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series ∑k=1[infinity]ak converge?

Answers

There is no value of c such that the infinite series converges.

How to analyze the converge of an infinite series

Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.

In this question we must prove for which values of c the infinite series may converge.

There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:

[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)

If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:

[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]

[tex]r = 1 + \frac{1}{k}[/tex]

We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]

Remark

If [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?

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There is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

What do you mean by infinite series?

The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.

[tex]a_1+a_2+a_3....+a_n[/tex]

Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,

[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]

If c is a positive real number and

[tex]a_k=k\ln c[/tex]

Put the value in above shown ratio,

[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]

With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.

Thus,  there is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

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Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.

Answers

A trait shared by dolphins and bats  will be the need to move quickly through dark environments.

What is the evolution of echolocation?

Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation

According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats

The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.

A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.

Hence option A is correct.

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Answer:

D

Explanation:

A force of 25 N is used to push a box along the floor a distance of 3
m. How much work was done?

Answers

F = 25 N

s = 3 m

A = ?

A = F * s

A = 25 N * 3 m = 75 J

Answer: 75 J

Which statement describes the particles that make up the rigid structure of a three-dimensional crystalline solid?

A. They move more quickly than the particles in the gas of the substance.

B. They move more quickly than the particles in the liquid of the substance.

C. They move around freely to various locations in a random pattern.

D. They move by vibrating in their locations within a fixed pattern.

Answers

Answer:

Explanation:

Did u get the answer

Answer:

D

Explanation:

29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?

Please include all of your steps to the solution.

Answers

Answer:

9.82 m/s²

Explanation:

The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to rightThe formula is given as :

        ⇒ T = 2π√(L/g) [← Important]

L represents the length of the string and g is the value of gravity due to acceleration

Original Time Period [To calculate length of the string]

T = 2π√(L/g)2 = 2π√(L/9.8)L = 9.8/π²L = 0.99646 m [← Keep in mind, we'll need it later!]

Calculating value of g' (new acceleration)

T = 2π√(L/g')1.99796 = 2π√0.99646/g' [← From earlier!]g' = 9.82 m/s² (approximately)

Hope it helped~

In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.
-----------------------------------------------------------------------------
Which behavior does this scenario describe?

o Conditioning
o Hibernating
o Imprinting
o Migrating

Answers

The answer is D: Migrating

Answer: "Migrating", You're welcome

Your friend left their science project off until the "night before" and now they are frantic to build a home made weather station that can measure relative humidity. They build the standard two – thermometer setup but their water had just been shut off and so they use salad oil on the wet bulb thermometer. Please describe how well their instrument will work and the physics behind your answer.

Answers

The usage of the wet bulb thermometer is important to measure the relative humidity or the air.

How to explain the temperature?

It should be noted that air can be saturated with different amount of water vapors according to its temperature.

The percentage of water vapor with the amount of water at the temperature is the relative humidity. Based on the question, the salad oil is important rather than using water since oil doesn't evaporate.

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Does a photon emitted by a higher-wattage red light bulb have more energy than a photon emitted by a lower-wattage red bulb

Answers

Answer:

The energy of these two photons would be the same as long as their frequencies are the same (same color, assuming that the two bulbs emit at only one wavelength.)

Explanation:

The energy [tex]E[/tex] of a photon is proportional to its frequency [tex]f[/tex]. The constant of proportionality is Planck's Constant, [tex]h[/tex]. This proportionality is known as the Planck-Einstein Relation.

[tex]E = h\, f[/tex].

The color of a beam of visible light depends on the frequency of the light. Assume that the two bulbs in this question each emits light of only one frequency (rather than a mix of light of different frequencies and colors.) Let [tex]f_{1}[/tex] and [tex]f_{2}[/tex] denote the frequency of the light from each bulb.

If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: [tex]f_{1} = f_{2}[/tex].

Thus, by the Planck-Einstein Relation, the energy of a photon from each bulb would also be the same:

[tex]h\, f_{1} = h\, f_{2}[/tex].

Note that among these two bulbs, the brighter one appears brighter soley because it emits more photons per unit area in unit time. While the energy of each photon stays the same, the bulb releases more energy by emitting more of these photons.

Rock layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and natural gas.

Answers

The lowest rock layer is a layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and gas.

What is the lowest rock layer?

The lowest rock layer refers to the lowermost part of the Earth's mantle, which is a thin rock layer (approximately 250 km).

In the Earth, the layers of rocks are progressively deposited, thereby pressing them to the bottom to generate sedimentary rocks.

The lowest rock layers on the bottom must be rich in organic matter to form fossil fuels.

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How you get a bucket of KFC past airport security?

Answers

Answer:

I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.

Explanation:

Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.

Pls help with physics.
Question: How does kicking a soccer ball relate to newton's third law?
Thank you!

Answers

Answer:

Explanation: “Every action has an equal opposite reaction” is Newton’s third law. So in this situation, kicking the soccer ball is the action and the reaction is it rolling.

Answer:

you push against the ball and the ball pushes back at you

Your force->|<- ball's force

Explanation:

For every action, there is an equal and opposite reaction

Calculate the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule. Answer in units of K.

Answers

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

Conservation of energy

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is determined by applying principle of conservation of energy as shown below;

E = K + U

E = K - GmM/R

0 = K - GmM/R

K = mgR

When the minimum escape energy is 15 times average kinetic energy;

15K = mgR

[tex]15 \times \frac{3}{2} kT = mgR[/tex]

where;

m is mass of oxygen per atom = (0.032 kg)/(6.02 x 10²³) = 5.316 x 10⁻²⁶ kg/atomg is acceleration due gravity = 9.8 m/s²R is radius of Earth = 6.371 x 10⁶ m.k is Boltzmanns’ constant =   1.38066 x 10⁻²³ J/K.

[tex]T = \frac{2mgR}{15 \times 3k} \\\\T = \frac{(2)(5.316 \times 10^{-26})(9.8)(6.371 \times 10^6)}{45(1.38066 \times 10^{-23})} \\\\T = 10,684.4 \ K[/tex]

Thus, the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

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What type of gas absorbs and re-emits infrared radiation?.

Answers

Answer:

Carbon Dioxide absorbs and re-emits the infrared radiation.

Who discovered the basic laws of planetary orbits?.

Answers

Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

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