Which famous scientist developed a theory over 350 years ago that helps to explain the characteristics of gravity?.

Answers

Answer 1

The famous scientist who developed a theory over 350 years ago that helps to explain the characteristics of gravity is Sir Isaac Newton.

Newton's law of universal gravitation was first published in 1687 in his book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy).

Newton's theory of gravity states that every point mass in the universe attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

This means that the force of gravity between two objects decreases rapidly as the distance between them increases.

This theory is used to explain the motion of objects in the universe, from the falling of an apple to the orbit of planets around the sun.

Newton's law of gravitation was later replaced by Albert Einstein's theory of general relativity, which provides a more complete and accurate understanding of gravity.

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Related Questions

for what soap film thickness, other than the minimum thickness, will constructive interference occur?

Answers

Answer:

The Answer is: ∴t=150 nm.

The starting velocity was 0 m/s, and the final velocity was -7.68 m/s. Based on this, what was the average velocity of the rock

Answers

Formula: v = s+f/2

v = average velocity

s = starting velocity

f = final velocity

Use what we are given and solve.

v = 0+(-7.68)/2

v = -7.68/2

v = -3.84

Best of Luck!

by calculating its wavelength (in nm), show that the first line in the lyman series is uv radiation. nm

Answers

The first line in the Lyman series, corresponding to the transition from an excited state to the ground state in hydrogen, is in the ultraviolet (UV) range with a wavelength of approximately 121.48 nm.

The Lyman series refers to a set of spectral lines in the emission spectrum of hydrogen. The first line in the Lyman series corresponds to the transition from an excited state to the ground state in the hydrogen atom. To calculate the wavelength of this line, we can use the Rydberg formula:

1/λ = R_H * (1/n_f² - 1/n_i²)

where λ is the wavelength of the spectral line, R_H is the Rydberg constant for hydrogen (approximately 1.097 × 10⁷ m⁻¹), n_f is the final energy level (which is the ground state, n_f = 1), and n_i is the initial energy level (corresponding to the excited state).

Since we want to determine if the first line in the Lyman series is ultraviolet (UV) radiation, we need to check if the calculated wavelength falls within the UV range (typically defined as wavelengths between 10 nm and 400 nm).

Let's assume that the initial energy level is n_i = 2 (corresponding to the transition from the second energy level to the ground state). Plugging the values into the Rydberg formula, we get:

1/λ = 1.097 × 10⁷ m⁻¹ * (1/1² - 1/2²)

= 1.097 × 10⁷ m⁻¹ * (1 - 1/4)

= 1.097 × 10⁷ m⁻¹ * (3/4)

= 8.2275 × 10⁶ m⁻¹

To convert this value to nanometers (nm), we can use the conversion factor 1 m = 10⁹ nm:

λ = 1/(8.2275 × 10⁶ m⁻¹)

= 1.2148 × 10⁻⁷ m

= 121.48 nm

Hence, Since the calculated wavelength of the first line in the Lyman series is approximately 121.48 nm, we can conclude that it falls within the ultraviolet (UV) range.

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An object appears red when viewed with white light. What color would it appear when viewed with blue light?

Answers

Answer:

Colour of any object is by the colour of light it reflects i.e if white light is incident on the object,it will reflect blue color.so it will appear blue.But if red light is incident on it,it will not reflect that and absorb it.so as it will not reflect any light it will appear black.

Explanation:

The colour of an object depends upon the light reflected and absorbed, so if you the object appears blue to you that means that the object reflects blue light and absorbs rest of the spectrum. That's why in black colour all light is absorbed and no light is emitted, thus absorbing all the radiation heat. Now, coming to the point, the red light incident on the object will contain light composed of many wavelength, some of which will be reflected by the body, so the body should reflected light of wavelength near to blue light thus giving a darkish red, with blueish tint. The resultant should be somewhat dark maroon.

If the unbalanced force is -20.0 N and the mass of the object is 3.75 kg, what is the acceleration of the the object while this force is acting?

Answers

Answer:

a=-5.3m/s2

Explanation:

F=-20N

m=3.75kg

a=?

F=am /:m

a=F/m

a=-20N/3.75kg

a=-5.3m/s2

betelgeuse is the bright red star representing the left shoulder of the constellation orion. all the following statements about betelgeuse are true. which one can you infer from its red color?

Answers

Its surface is cooler than the surface of the sun is the statement that we can infer from its red color.

Betelgeuse is also called Alpha Orionis. It is the second brightest star in the constellation Orion, thus marking the eastern shoulder of the hunter. Its name is derived from the Arabic term, which means “the giant’s shoulder.” It is one of the most luminous stars in the sky at night.

Having an apparent magnitude of about 0.6 it is a variable star. Its size is roughly 764 times as that of the Sun. As the apparent magnitude of this star is 0.6 which is a comparison with the sunlight, we can say it is cooler than the surface of the sun.

Hence the correct option is A.

--The given question is incomplete, the complete question is,

"betelgeuse is the bright red star representing the left shoulder of the constellation orion. all the following statements about betelgeuse are true. which one can you infer from its red color? a) Its surface is cooler than the surface of the Sun. b) It is much more massive than the Sun c) It is much brighter than the Sun d) It is moving away from us

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An object of mass 50 g and density 5 g/cm3 is carefully lowered into a measuring cylinder containing 50 cm3 of water. What will the final volume reading be?​

Answers

Answer: 60cm^3

Explanation:

Here we can use the relationship:

Density = mass/volume.

We know that density = 5g/cm^3 and mass = 50g, then we have:

5g/cm^3 = 50g/V

V = 50g/5g/cm^3 = 10cm^3

Then, when we introduce it in a cylinder with 50cm^3 of water, this is heavier than water (the density of the water is 1g/cm^3) it will sink, and the complete volume will be equal to the volume of the water plus the volume of the object:

Total Volume = 50cm^3 + 10cm^3 = 60cm^3

a small circular hole 6.00 mmmm in diameter is cut in the side of a large water tank. the top of the tank is open to the air. the water is escaping from the hole at a speed of 15 m/sm/s . part a how far below the water surface is the hole?

Answers

The hole is 5.10 m underneath the water's surface.

What's really air and what does it do?

On earth, air is indeed a natural attribute that supports life. It occurs in the atmospheric and is essentially a mixture of many different gases, with oxygen, nitrogen, and carbon dioxide making up the majority of it and argon, water vapor, and other gases making up considerably less of it. Aerosolized dust, spores, and germs are also present in the air.

What function does air serve?

To breathe, we all require oxygen. All living things, both those that are aquatic and those that are on land, require oxygen to survive. Without the basic component of air, life would not be possible.

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17) Name two ways you could decrease the potential energy of a bucket full of water sitting on a bench.

Answers

Answer: Two ways you could decrease the potential energy of a bucket full of water sitting on a bench are: -(i) Lift it in such a way that you decrease its height as compared to the bench.(ii) Put it on a stool whose height is lower than the bench.

Explanation:

The potential energy of an object has the following formula

         Potential energy = mgh

      where m = mass of the object

                   g = acceleration due to gravity

                   h = height of the object

This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.

In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.

This can be done by: -

         (i) Lifting the bucket full of water in such a way that you

             decrease its height as compared to the bench.

        (ii) Put the bucket full of water on a stool whose height is

            lower than the bench.

Answer:

1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.

2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket

what is a synonym for motion

Answers

Answer:

there are a lot so imma just say a few movement,moving,shifting,to and from

Explanation:

Hope this helps

A synonym for motion would be action, shifting, movement, moving, etc

where do reduction and oxidation occur in an electrolytic cell

Answers

Answer:

Oxidation occurs at the anode and reduction occurs at the cathode

Explanation:

This is a short answer question, please answer in full sentences.
Apply Newton’s third law of motion to the action of serving a volleyball.

Answers

Answer:

when we hit the volleyball. the ball goes up comes down

it comes down as it is forced by gravity

the force in which ball comes back is Newton 3 law

Answer with full steps please!

Answer with full steps please!

Answers

Answer:

B

Explanation:

Because B/5

if i'm wrong sorry but i hope it's help^^

You are riding a bicycle. If you apply a forward force of 125 N, and you and your bicycle have a mass of 86 kg, what will be the forward acceleration of the bicycle?
A.) 1.67 m/s²
B.)1.52 m/s²
C.) 3.37 m/s²
D.) 0.66 m/s²

Answers

Answer: B 1.52 m/s hope this helps

Explanation: I just took the test

1. How much heat must be absorbed by 375 grams of water to raise its
temperature by 25° C?(Cp of water is 4.184)

Answers

Answer:

39225J

Explanation:

Given parameters:

Mass of water  = 375grams of water

Change in temperature  = 25°C

Specific heat capacity of water  = 4.184J/g°C

Unknown:

Amount of heat absorbed  = ?

Solution:

To solve this problem, we use the expression below:

      H  = m c Ф  

H is the heat absorbed

m is the mass

c is the specific heat capacity

Ф is the change in temperature

  Insert the parameters and solve;

      H  = 375 x 4.184 x (25) = 39225J

Calculate the pH of a solution prepared by dissolving 0.150 mol of benzoic acid and 0.300 mol of sodium benzoate in water sufficient to yield 1.00 L of solution. The Ka of benzoic acid is 6.30 à 10â»âµ.
A) 2.516
B) 3.892
C) 4.502
D) 10.158
E) 4.195

Answers

The pH of the solution is approximately 4.195, which corresponds to answer choice E.

The benzoic acid and sodium benzoate will react to form a buffer solution. We can use the Henderson-Hasselbalch equation to determine the pH of the buffer:

pH = pKa + log([A-]/[HA])

where pKa is the dissociation constant of benzoic acid (6.30 × \(10^{-5\)), [A-] is the concentration of benzoate ions, and [HA] is the concentration of benzoic acid.

To calculate the concentrations of [A-] and [HA], we need to use the stoichiometry of the reaction. The reaction is:

\(C_6H_5COOH + NaC_6H_5COO\) →\(C_6H_5COO^- + Na^+ + H_2O\)

From this equation, we can see that one mole of benzoic acid reacts with one mole of sodium benzoate to form one mole of benzoate ions and one mole of water. Therefore, the concentration of benzoate ions is:

[A-] = 0.300 mol / 1.00 L = 0.300 M

The concentration of benzoic acid is:

[HA] = 0.150 mol / 1.00 L = 0.150 M

Now we can substitute these values into the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

pH = -log(6.30 × \(10^{-5\)) + log(0.300/0.150)

pH = 4.195

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2 QUESTIONS!! PLEASE HELP QUICK

1. true or false: Balanced forces acting on an object result in constant velocity


2. If one of the cars starts and ends at the same point in the race (making a loop around the track), what is the car's displacement?

0

1

2

7.5

Answers

Answer:

1. True 2.0

Explanation:

1. When balanced forces are acting on an object, they have a constant velocity, meaning that the velocity remains the same.

2. When an object begins at a starting point and returns back to that same starting point, its displacement would be 0.

I'm pretty confident in these answers, however, you must have studied this more than me, so let me know if you have any questions or concerns at all, I'll be glad to help. :)

the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz

Answers

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

Definition of wavelength, frecuency and propagation speed

First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.

Wavelength for radio waves

In this case, you know:

v= 3×10⁸ m/sf= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)λ= ?

Replacing in the definition of propagation speed:

3×10⁸ m/s = 100,000,000 Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 100,000,000 Hz

λ= 3 m

In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

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The first one is wrong

The first one is wrong

Answers

Answer: goin at a constant rate

Explanation: goes through 0,0

The ecosystem with the greatest biodiversity is the one that has the greatest–
Group of answer choices

variety of living things.

average annual rainfall.

coverage of land area.

elevation above sea level.

Answers

Answer:

A) Variety of Living Things

Explanation:

Biodiversity is defined as the variety of life in the world or in a particular habitat or ecosystem.

Hope I helped! Check out my profile for more answers!

A truck covered 2/7 of a journey at an average speed of 40
mph. Then, it covered the remaining 200 miles at another
average speed. If the average for the whole journey was 35
mph, what was the amount of time for the whole journey?
h

Answers

Answer:8h

Explanation:

Answer: 8 h

Explanation:

I got it right

What does the square of the wave function represent?.

Answers

The wave function is a mathematical function that describes the behavior of a particle in terms of its wave-like properties, and it satisfies the Schrödinger equation.

The wave function itself cannot be directly measured or observed, but rather it is used to calculate probabilities of different outcomes of measurements.

The square of the wave function, on the other hand, gives a measurable quantity - the probability density - which can be used to calculate the likelihood of finding a particle in a particular location.

In quantum mechanics, the square of the wave function, denoted as

|Ψ\((x)|^2\), gives the probability density of finding a particle at a particular location in space. The probability density is proportional to the probability of finding the particle at a specific position.

The wave function itself, denoted as Ψ(x), gives the complete description of the quantum state of the particle, including its energy, momentum, and other properties.

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1. A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s. ​

Answers

Answer:

397 j

Explanation:

Because 5.0kg yuh

The kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.

What is kinetic energy?

A moving item or particle has a certain kind of power called kinetic energy. When an item exerts a net force to perform work, which involves the transfer of energy, the object accelerates and as a result, gains kinetic energy.

The amount of kinetic energy that a moving object or particle possesses is determined by both its mass and rate of motion. Any combination of vibration, axis rotation, translation (or movement along a path from one location to another), and translation are all possible motion types.

Given:

The mass of the block, m = 5 kg,

The horizontal force, F = 80 N,

The velocity of the block, v = 12.6 m / s,

Calculate the kinetic energy by the formula given below,

\(KE = 1/2mv^2\)

KE = 1 / 2 × 5 × 12.6²

KE =  1 / 2 × 5 × 158.6

KE = 396.9 J

Therefore, the kinetic energy of the block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s is 396.9 J.

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The complete question is A block with a mass of 5.0 kg is pushed on a frictionless surface by applying a horizontal force of 80.0 N. The block starts from rest, and its final velocity is 12.6 m/s. ​Find its kinetic energy?

How much energy is required to change a 39 g ice cube from ice at -12 °C to steam at 112 °C? The specific heat of ice is 2090 J/kg °C, the specific heat of wa- ter is 4186 J/kg °C, the specific heat of stream is 2010 J/kg. C, the heat of fusion is 3.33 x 105 J/kg, and the heat of vaporiza- tion is 2.26 x 106 J/kg. Answer in units of J.​

Answers

The amount of energy required to change a 39 g ice cube from ice at -12°C to steam at 112°C is 1.032 x 108 J.

Given

The specific heat of ice is 2090 J/kg °C

The specific heat of water is 4186 J/kg °C

The specific heat of stream is 2010 J/kg C

The heat of fusion is 3.33 x 105 J/kg

The heat of vaporiza- tion is 2.26 x 106 J/kg

To Find

ice cube=39g

temperature= -12 °C to  at 112 °C

Solution

To solve this problem, we need to break down the process into different steps and calculate the amount of energy required for each step.

Step 1: Heating the ice from -12°C to 0°C

Energy required = mass of ice x specific heat of ice x change in temperature

Energy required = 39 g x 2090 J/kg °C x (0°C - (-12°C))

Energy required = 980,280 J

Step 2: Melting the ice at 0°C to water at 0°C

Energy required equals mass of ice multiplied by heat of fusion

Energy required = 39 g x 3.33 x 105 J/kg

Energy required = 1.299 x 107 J

Step 3: Heating the water from 0°C to 100°C

Energy required = mass of water x specific heat of water x temperature change

Energy required = 39 g x 4186 J/kg °C x (100°C - 0°C)

Energy required = 1.629 x 106 J

Step 4: Boiling the water at 100°C to steam at 100°C

Energy required = mass of water x heat of vaporization

Energy required = 39 g x 2.26 x 106 J/kg

Energy required = 8.814 x 107 J

Step 5: Heating the steam from 100°C to 112°C

Energy required = mass of steam x specific heat of steam x change in temperature

Energy required = 39 g x 2010 J/kg °C x (112°C - 100°C)

Energy required = 9.354 x 105 J

Total energy required = Energy for Step 1 + Energy for Step 2 + Energy for Step 3 + Energy for Step 4 + Energy for Step 5

Total energy required = 980,280 J + 1.299 x 107 J + 1.629 x 106 J + 8.814 x 107 J + 9.354 x 105 J

Total energy required = 1.032 x 108 J

Therefore, the amount of energy required to change a 39 g ice cube from ice at -12°C to steam at 112°C is 1.032 x 108 J.

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A train is traveling north. it goes 200 km /hr for 2.5 hours how far did the train go.

Answers

Answer:

500Km

Explanation:

This question is an example of speed, distance, time.

The formula for working out the distance is: \(Speed*Time\)

To work this out you would need to multiply the speed of 200Km/h by the time of 2.5 hours, this gives you 500 Km. This is because the formula to work out the distance is speed * time.

In adittion, if the train is traveling at 200km per hour then that means that over the course of an hour the distance travelled would be 200Km. So, by multiplying the speed by the time you are working out how far it travelled in that given time.

1) Multiply 200 by 2.5.

\(200*2.5=500Km\)

a surfer traveling at 1.0 m/s relative to the water across a wave that is traveling at 6.0 m/s

Answers

Answer:

a. The magnitude of the resultant velocity vector of the fish is approximately 5.83 m/s

The direction of the resultant velocity vector of the fish is approximately 30.93° relative to the direction of the river

Explanation:

Typical electrical wires in your house are generally made of copper (electron density of 8.47∗1024 electrons per cm3 ) and are usually either 14 gauge (diameter of 1.63 mm ), 12 gauge (diameter of 2.05 mm ), or 10gauge(2.59 mm) wires.
(A) If you have a 14 gauge wire that is carrying the maximum current of 20 , what would be the average drift speed of the electrons in the wire? Tries 1/8
(B) Usinq the averaqe speed you just calculated in Part (A), how much time would it take an electron to travel 8.84 m?

Answers

A. The average drift speed of the electrons in the wire is  1.19 x \(10^{-3}\)cm/s.

B. The time it would take an electron to travel 8.84 m is 7.43 x \(10^{5}\)sec

(A) To find the average drift speed of electrons in a wire, we can use the equation:

I = nAvq

Where:
I is the current in Amperes
n is the electron density in electrons per \(cm^{3}\)
A is the cross-sectional area of the wire in \(cm^{2}\)
v is the average drift velocity of electrons in cm/s
q is the charge of an electron, which is 1.6 x \(10^{-19}\) Coulombs

First, we need to find the cross-sectional area of the wire. The formula for the area of a circle is:

A = π\(r^{2}\)

Where:
A is the area of the circle
r is the radius of the circle

Given that the wire diameter is 1.63 mm, we can find the radius by dividing it by 2:

r = 1.63 mm / 2 = 0.815 mm = 0.0815 cm

Now, we can calculate the area:

A = \(π(0.0815 cm)^{2}\) = 0.0209 \(cm^{2}\)

Next, we can rearrange the equation to solve for v:

v = I / (nAq)

Given that the current is 20 A and the electron density is 8.47 x \(10^{24}\)electrons per \(cm^{3}\), we can substitute these values into the equation:

v = 20 A / (8.47 x \(10^{24}\) electrons per cm^3 * 0.0209 cm^2 * 1.6 x \(10^{-19}\) C)

Simplifying the expression:

v = 1.19 x \(10^{-3}\) cm/s

Therefore, the average drift speed of electrons in the 14 gauge wire carrying a maximum current of 20 A is approximately 1.19 x \(10^{-3}\) cm/s.

(B) To calculate the time it would take for an electron to travel a distance of 8.84 m, we can use the formula:

t = d / v

Where:
t is the time in seconds
d is the distance in meters
v is the average drift velocity of electrons in meters per second

Given that the distance is 8.84 m and the average drift velocity is 1.19 x 10^-3 cm/s, we need to convert the velocity to meters per second:

v = 1.19 x \(10^{-3}\) cm/s * 0.01 m/cm = 1.19 x \(10^{-5}\) m/s

Now, we can substitute the values into the formula:

t = 8.84 m / 1.19 x \(10^{-5}\)m/s

Simplifying the expression:

t = 7.43 x \(10^{5}\)s

Therefore, it would take approximately 7.43 x \(10^{5}\) seconds for an electron to travel a distance of 8.84 m.

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How many cubic inches are there in 3.25 yd3?Express the volume in cubic inches to three significant figures.

Answers

\(\begin{gathered} 1yard^3=46,656.000733inches^3^{} \\ 3.25yards^3=? \\ \text{volume}=46,656.000733\times3.25 \\ \text{volume}=151632.002382inches^3 \\ \text{volume}=152000inches^3^{} \end{gathered}\)

at what displacement of a sho is the energy half kinetic and half potential? express your answer in terms of aaa .

Answers

The displacement of SHO at which the energy half kinetic and half potential is

A/√2

How to calculate displacement if KE and PE are half?

In case of, no frictional forces on a simple harmonic oscillator the kinetic and potential energies of the simple harmonic oscillator are transformed alternatively, but total mechanical energy is conserved.

At equilibrium position the total energy of the simple harmonic oscillator is equal to kinetic energy

The potential energy U of a simple harmonic oscillator at a given displacement x from the equilibrium position is given as follows:

U=1/2kx²

Here, k is the spring constant.

The kinetic energy K of a simple harmonic oscillator at a given displacement is given as follows:

K=1/2mv²

Here, m is the mass attached to the spring, and v is the speed of the mass at a given displacement.

The total mechanical energy E of a system is equal to the sum of potential energy U and kinetic energy K.

E=U+K

Substitute,

E=1/2kx²+1/2mv²

At extreme position, the displacement x is equal to amplitude A, and speed of oscillator is equal to zero.

Substitute

E=1/2kA²+12m(0)²

E=1/2kA²

Now,  if the total mechanical energy is proportional to square of the amplitude of the simple harmonic oscillator, then, the potential energy U of a simple harmonic oscillator at a given displacement x is,

U=1/2kx²

Equate half of total mechanical energy and potential to find the displacement.

E/2=U

Substitute

1/2(1/2kA²) =1/2kx²

A²/2=x²

x=A/√2

The displacement of SHO at which the energy half kinetic and half potential is

A/√2

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If you are pulling on a box with a force of 20 N, and your friend is pushing the box in the same direction with a force of 30 N, what will happen to the box?

Answers

Answer: If you are pushing a box toward your friend with a force of 20 N, and your friend is pushing the box toward you with a force of 30 N, what will happen to the box? The box will move toward your friend with a force of 50 N.

Explanation:

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Help asap, will do brainliest!!! 5 more minutes!John's family visited his grandmother over the weekend. The drive to her house took 2 hours at their usual speed. The trip home took 15 minutes longer because traffic was bad and they had to drive 5 mph slower. How many miles away is John's grandmother's house? Because the ________ did not have stone, they built the zuggurat out of sun dried clay. 3. Explain how a production function that exhibits diminishingmarginal product for both capital and labor could exhibit constantor increasing returns to scale. 23/(4 ) [31/( 8 ) { 5 ( 42/( 3) 11/(12 ) )}] a) Find the value of 8^1/3b) Find the value of 8^2/3c) Find the value of 16^3/4 what error did katerina likely make? Two beams of equal length, L, are arranged as shown. The beams are aligned at right angles to each other. Beam DE can be considered simply supported and beam AC is fixed at point A and a concentrated load, P, is applied at the end of the beam at point C. Beam AC rests on beam DE at point B. Point B is located at the mid-point of beam DE. Your client is interested in exploring the behaviour of the structure, with a specific focus on the behaviour of the structure as the position of beam is varied in relation to beam AC. The position of beam DE relative to point A is described by variable, d. You will explore the design by varying d between 0.25 L a self-confirming concern that one will be evaluated based on a negative stereotype is called How do I fill this out? Im not sure how to? It had begun just as all her other days began: bells at dawn, maids running in and out to hurry her into her clothes, and the Assistant Chamberlain barking a schedule that included too many meetings, greetings, and curtseys to count. Cornelia had nodded, smiled, glanced out the window at the sun, and hoped that perhaps, later, in between meeting the King of Landurias third cousin twice removed and lunching with the trade delegation from the outer Helvetian Archipelago, shed have a chance to escape the palace, if only for a few moments. She wouldnt get to do so, of course, but she could hope. She always hoped.Her father and mother dealt with the important meetings. As the heir to the throne and only child of the ruling couple, her job was to deal with the unimportant meetingsthe ones that solved no problems, advanced no negotiations, and contained no decisions. A mechanical doll could have done what she did. She was a decoration, giving people a bit of the royal glamor without ever doing any real work. She hated it all.She smelled the smoke and heard the shouts as she was eating her breakfast. Suddenly, a strange young man dressed in the livery of the palace guard dashed into the room. Theyve overwhelmed us all! he shouted. Princess, follow me and you might be able to escape! He picked her up, tossed her through the window into the mulch pile below, and leapt after her. To the woods! he shouted as she stood, shaking bits of bark off her gown. Ive hidden two horses there. We can be away before they realize that youve gone.And then she was running, hiking up her skirt, climbing into the saddle, and taking off at a breakneck pace to follow the strange young guard. It was only a few hours into the journey that she stopped to consider how odd the entire morning had been. Theyd stopped next to a stream to water and rest the horses, and she stared at the young man. He was wearing the livery of the guards, it was true, but he didnt look familiar. Most people in the castle were familiar. Their court was fairly small, and her parents were keen to know everyone who worked for them. They said it made it easier to learn about the concerns of the citizens.Excuse me, Cornelia said, tilting her head. I dont believe weve been introduced.Oh, I beg your pardon, the young man said, making a sweeping bow. I am Paul Andreasson, junior guardsman, and perhaps the last surviving guardsman. Im sorry, Princess Cornelia. The attack was very sudden. There was nothing to be done.She pursed her lips. Andreasson was an unusual name for their kingdom, where most people had names that spoke of family professions, not patrimony. Millers, Smiths, Coopers, and Shepherds were common. Andreasson sounded like someone from the North Kingdoms, a group of barbaric countries that had been menacing the borders for years.I understand, she said quietly, gazing down at his boots. As shed suspected, they were not constructed like the footwear of her familys cavalry. She thought back to the moments before theyd left the palace. Thered been sounds and noise, but she hadnt seen any enemy soldiers or heard fighting, just shouting. And her parents would hardly send such a young person to rescue her. They would have sent one of the senior guardsmensomeone she knew and trusted. Shed been tricked, and if she wanted to escape, she would have to avoid giving any sign that shed noticed something amiss.She looked over her shoulder and shuddered, pretending to be afraid of pursuit. Are they close behind, do you think? Is there time for me to...? She blushed prettily. Blushing on command was one of her special talents and was always useful for escaping from unpleasant meetings. Andreasson nodded and graciously turned around as she carefully stepped into the woods.Carefully, she slipped out of her breakfast gown. Her underdress was much smaller and more practical for running and hiding in the woods. She was thankful that her parents always insisted she wear practical riding boots instead of high-heeled court shoes. Shed always assumed that their reasoning had something to do with posture, but it turned out that she was also well-equipped for unexpected adventures.Im so sorry, it will be a moment, she called breathlessly. Im afraid that today is a very inconvenient day for this sort of thing!Take your time, Princess, came an unworried reply. I think well be able to arrive somewhere safe by nightfall.Cornelia draped her overdress over a stump. Perhaps if he turned around to look for her, this would fool him for a while. Then she crept off through the underbrush. They hadnt come very far, so they must still be within the limits of the kingdom. Surely, she could find a village and get help if she just started walking. She headed toward a clump of trees much too close together for a horse. If he were to try to find her, hed have to follow on foot, and shed have a decent head start. Dallas, Texas has an elevation of 200 feet above sea level. The city of Jacksonville is 300 feet less than the elevation of Dallas. Select all options that apply to Jacksonville. at sea level below sea level above sea level elevation of -100 feet elevation of 100 feet There are several characteristics that newspapers have in common: they are published Periodically, usually at !short regular intervals not exceeding a weak; they are meant to appeal to a wide spectrum of the general public; they usually contain advertisements,, and; they purpose is to convey news or advocate opinions. Newspapers may also be defined in state law to identify the types of publications in which legal notices may be published. Other statutes that may contain defenitions regarding newspapers include those relating to taxation, licensing. libel, antitrust, regulation of news Racks, postal rates, and regulation of other content. Magazines are commonly understood to be synonymous with the term periodical. Each issue of a periodical contains a vareity of original articles by different authors. Solve for Y Next, find the side lengths of themedium-sized triangle 3. What trends are being displayed between bubbles and depth ofwater?