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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500 - kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency ω, the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (e) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.

Yes, yes it does. It's cool right?

Answer: read this hope this helped

Explanation: A hypothesis is a possible explanation for a set of observations or an answer to a scientific question. ... The next step in the scientific method is to test the hypothesis by designing an experiment. This includes creating a list of materials and a procedure— a step-by-step explanation of how to conduct the experiment.

Answer:

metal

Explanation:

metal heats up the fastest when near a hot source

There are 3.37 × \(10^{22}\) gold atoms per cubic centimeter in the silver-gold alloy.

The density of a binary alloy can be calculated using the following equation:

ρ = w1ρ1 + w2ρ2

where,

ρ = density of the alloy

w1 and w2 = weight fractions of the two components (in this case, gold and silver)

ρ1 and ρ2 = densities of the pure components.

We are given that the alloy contains 10% gold and 90% silver by weight, so we can calculate the weight fractions as:

\(w_{Au}\) = 0.10

\(w_{Ag}\) = 0.90

We are also given the densities of pure gold and silver as:

ρ_Au = 19.32 g/\(cm^{3}\)

ρ_Ag = 10.49 g/\(cm^{3}\)

Now we can substitute these values into the density equation to find the density of the alloy:

ρ = \(w_{Au}\)ρ_Au +\(w_{Ag}\)ρ_Ag

ρ = (0.10)(19.32 g/\(cm^{3}\)) + (0.90)(10.49 g/\(cm^{3}\))

ρ = 11.08 g/\(cm^{3}\)

Next, we need to calculate the number of gold atoms per cubic centimeter in the alloy.

To do this, we can use Avogadro's number and the atomic weights of gold and silver:

\(N_A\) = 6.022 × \(10^{23}\) atoms/mol

Aum = 196.97 g/mol

Agm = 107.87 g/mol

The number of gold atoms:

\(n_{Au}\) = (\(w_{Au}\)ρ/ Aum) × \(N_{A}\)

Substituting the values, we get:

\(n_{Au}\) = (0.10 × 11.08 g/\(cm^{3}\)/ 196.97 g/mol) × 6.022 × \(10^{23}\) atoms/mol

\(n_{Au}\) ≈ 3.37 × \(10^{22}\) atoms/\(cm^{3}\)

Therefore, there are approximately 3.37 × \(10^{22}\) gold atoms per cubic centimeter in the silver-gold alloy.

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Answer:

B

Explanation:

For every action,there is an equal but opposite reaction.

The total mass of water vapor in the air in the apartment can be calculated using the formula for absolute humidity. The total mass is approximately 5.04 kg.

To calculate the total mass of water vapor in the air, we need to determine the volume of the apartment and then use the formula for absolute humidity.

Calculate the volume of the apartment: The volume of the apartment can be calculated by multiplying its dimensions: Volume = length x width x height = 18 m x 9 m x 6 m = 972 cubic meters.

Determine the vapor pressure: The relative humidity of 59 percent indicates that the air is holding 59 percent of the maximum amount of water vapor it can hold at the given temperature.

Find the saturation vapor pressure: The saturation vapor pressure is the maximum pressure of water vapor that air can hold at a given temperature. At 25°C, the saturation vapor pressure is approximately 3.17 kPa.

Calculate the actual vapor pressure: The actual vapor pressure can be calculated by multiplying the saturation vapor pressure by the relative humidity: Actual vapor pressure = Relative humidity x Saturation vapor pressure = 0.59 x 3.17 kPa = 1.867 kPa.

Calculate the mass of water vapour: The mass of water vapor can be determined using the formula for absolute humidity: Mass = Absolute humidity x Volume = (Actual vapor pressure / (0.287 kJ/(kg·K) x Temperature)) x Volume. In this case, the temperature is 25°C, which is 298 K.

Mass = (1.867 kPa / (0.287 kJ/(kg·K) x 298 K)) x 972 m^3 = 5.04 kg.

Therefore, the total mass of water vapor in the air in the apartment is approximately 5.04 kg.

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Hello..!

To calculate its speed, we simply apply the data to the problem.

Data:

Now, we convert kilometers to meters.

Conversion:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

It advances with a speed of 200 meters per second.

Answer:

Formula:

Resolve:

Hope this helped

It is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

Quantitative research is any type of investigation based on scientific variables that express their values as a continuous range of variation.

For example, there are genetic traits such as height and weight that show quantitative variation, thereby they need to be expressed as ranges.

In conclusion, it is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

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The volume of the vegetable oil is  0.00003998 m³.

The density of vegetable oil,

ρ = 913 kg/m³

The mass of vegetable oil,

m = 0.0365 kg

To find: The volume of the vegetable oil, V Solution: The density of any substance is defined as the mass of the substance per unit volume.

The formula for density is:

ρ = m/V

where, ρ is the density of the substancem is the mass of the substance V is the volume of the substance We can rearrange the above formula to find the volume of the substance:

V = m/ρSubstituting the given values of mass and density in the above formula,

We get:

V = 0.0365 kg / 913 kg/m³ = 0.00003998 m³ (approx)

Therefore, the volume of the vegetable oil is approximately 0.00003998 m³.

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Answer:

Pressure=Force/Area

F=50N

A= L x W

Change the units to metres

W= 0.2x10-³m

L= 12 x 10-²m

A= 0.2x10-³ x 12 x10-²

A=2.4x10^-5m²

P= 50/2.4x10^-5

= 2.08x10^6Nm-¹ ~ 2.1x10^6Nm-¹

Answer:

the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

Answer:

Answer in Explanation

Explanation:

Gravity is a force that attracts a body toward the center of the earth, or toward any other physical body having mass. Plz mark me brainliest....

Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.

First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.

The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.

In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.

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Answer:

r = 5.08 m

Explanation:

The electric force of attraction or repulsion is given by :

\(F=\dfrac{kq_1q_2}{r^2}\)

We need to find how far above the electron would the proton have to be if you wanted to hold up an electron against the force of gravity by the attraction of a fixed proton some distance above it.

So, the force from the proton is balanced by the mass of the electron.

\(\dfrac{kq_pq_e}{r^2}=mg\)

r is distance

\(r=\sqrt{\dfrac{kq_pq_e}{mg}} \\\\r=\sqrt{\dfrac{9\times 10^9\times (1.6\times 10^{-19})^2}{9.11\times 10^{-31}\times 9.8}} \\\\r=5.08\ m\)

So, proton have to be at a distance of 5.08 meters above the electron.

The float is 3.95 m west of the grandstand after 3.5 s of its start.

The distance is defined as the total length of the path taken by a moving body in order to reach the final position starting from initial position. Mathematically -

Distance [d] = Speed [s] x time [t]

Given that a float starts from 9.2 m west of a grand stand for the parade with the speed of 1.5 m/s. Therefore we can write -

Speed [s] = 1.5 m/s

Distance between float and grandstand [D] = 9.2 m

The location of the float after 3.5 seconds of its start is as follows-

d = s x t

d = 1.5 x 3.5

d = 5.25

Therefore -

Distance between the float and the grandstand after 3.5 seconds of its start = D - d = 9.20 - 5.25 = 3.95 m

Therefore, the float is 3.95 m west of the grandstand after 3.5 s of its start.

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Due to its high density, the mercury barometer is the greatest option for precisely measuring minor changes in pressure. The correct option is A.

A barometer is an instrument used to measure atmospheric pressure. It typically consists of a long glass tube filled with a liquid, usually mercury, and inverted in a container of the same liquid.

The preferred barometer to measure small pressures accurately would be the mercury barometer (option A), because it has a higher density compared to the other options and hence it can detect smaller changes in pressure.

To see why the other options are not as good for measuring small pressures accurately, we can compare their densities:

Oil-water barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Water barometer: The density of water is much lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Oil barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Therefore, option A, the mercury barometer, is the best choice for measuring small changes in pressure accurately due to its high density.

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The following statement is not a scientific hypothesis:

C. Halle Berry is attractive.

A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.

Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.

B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.

D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.

E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.

The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.

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The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Hi there!

Recall the equation for magnetic flux.

\(\Phi _B = \oint B \cdot dA\)

We can also rewrite this as:

\(\Phi_B = B \cdot A = BAcos\phi\)

B = Magnetic field strength (T)
A = Area of surface (m²)

φ = angle between the surface's area vector and magnetic field

Since the rectangular surface is horizontal, its perpendicular area vector points straight UP.

The magnetic field makes an angle of 32° with the surface but makes an angle complementary to this angle with the AREA VECTOR. (Think: the vertical)

Complementary of 32° ⇒ 90° - 32° = 58°

Now, we can rearrange the above equation to solve for the magnetic field.

\(\Phi_B = BA cos\phi \\\\B = \frac{\Phi_B}{Acos\phi}\\\\B = \frac{3.6 \times 10^{-4}}{(0.03 * 0.042)cos(58)} = \boxed{0.539 T}\)

Answer:

a=∆v/∆t

Explanation:

The definition of Acceleration is the change in velocity in a given time. So this means you first calculate ∆v (Change in velocity), and you calculate ∆t which is the time taken to apply that change in velocity. Then you find a= ∆v/∆t. This gives us the equation of Acceleration.

Answer:

Explanation:

Answer:

a change in position

Explanation:

Answer:

420

Explanation:

420 because 120 x 3 = 360

120/2 = 60 and 360 + 60 = 420

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Answer:

1.25 m

Explanation:

This is the vertical height not the distance along the slope.

\(K=U\\\frac{1}{2}mv^{2} = mgh\\h = \frac{v^{2}}{2g}=\frac{25}{20}=1.25 m\)

The height the car can reach if the the track starts to climb upwards is 1.2742 meters up.

Kinetic energy is energy possessed by a body by virtue of its movement. Potential energy is the energy possessed by a body by virtue of its position or its relation with its surrounding systems.

P.E. = mass × g × height

K.E. = 0.5 × mass × (velocity)²

Given that the toy car has a mass of 0.025 kg and is traveling on a horizontal track with a velocity of 5 m/s. Now, the car starts to climb up vertically, therefore, the kinetic energy will be converted to potential energy.

Kinetic Energy = Potential Energy

0.5 × mass × (velocity)² = mass × g × height

Cancel mass from both the sides,

0.5 × (velocity)² = g × height

0.5 × (5 m/s)² = 9.81 m/sec² × height

height = 1.2742 meters

Hence, the car will travel 1.2742 meters up.

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Explanation:

\(from \: einstein \: equation : \\ E = m {c}^{2} \\ E = 1.5 \times {(3 \times {10}^{8} )}^{2} \\ E = 1.35 \times {10}^{17} \: joules\)

The value of 15.2 ÷ 4.368 rounded to the correct number of significant figures is 3.47985348.

Significant figures is a digit that is meaningful with respect to the precision of a measurement.

Significant figures constitutes a digit that is nonzero, followed by a nonzero digit, or (for trailing zeroes) justified by the precision of the derivation or measurement.

According to this question, the following arithmetic expression is given:

15.2 ÷ 4.368 = 3.47985348

Therefore, the value of 15.2 ÷ 4.368 rounded to the correct number of significant figures is 3.47985348.

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The term referring to is radioactive decay.

To answer the question, we need to know the half-life of the radioactive material. Let's assume the half-life is 10,000 counts.
After one half-life, the count would be halved to 40,000 counts. After the second half-life, the count would be halved again to 20,000 counts. After the third half-life, the count would be halved again to 10,000 counts. And after the fourth half-life, the count would be halved again to 5,000 counts.
So after 4 half-lives, we would expect the count to be 5,000.
After 4 half-lives, the remaining number of counts would be calculated by dividing the initial number of counts by 2 raised to the power of the number of half-lives. In this case:
Initial counts: 80,000
Number of half-lives: 4

Remaining counts = 80,000 / (2^4) = 80,000 / 16 = 5,000 countsSo, after 4 half-lives, you would expect to have 5,000 counts remaining.

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Answer:

one of the object is at rest after the collision

Weight of  jenny's book will be 10N.

The force exerted on an object by gravity is known as its weight. Weight is the result of multiplying the mass by the acceleration that is acting on it. The pound (lb), which is the most often used unit of weight, is equivalent to 1 kilogram meter per second squared (N), the SI unit of weight. The impact of gravity (or another acceleration) on an object is quantified by its weight. At various points on the Earth, two causes alter weight. Weight reduces as altitude rises. Latitude also affects weight.

Area=200cm²

p=0.05N/cm²

weight=thrust=Force

p=F/A

0.05×200=F

F=10N

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Answer:

Hello There!!

Explanation:

The answer is=>C. It changes the activation energy required for the reaction.

hope this helps,have a great day!!

~Pinky~

The true statement for a catalyst used in a reaction is that it makes a reaction faster by adding energy. The correct option is D.

A catalyst is a substance that increases the chemical reaction rate without undergoing any permanent chemical change in itself. It makes the reaction faster.

The correct option is D.

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Answer:Materials that absorb light are called pigments. Pigments are colored substances that absorb certain wavelengths of light and reflect others. For example, a red pigment absorbs all colors of light except red, which it reflects. Materials that reflect light are called reflective materials. Reflective materials are materials that reflect light instead of absorbing it. Examples of reflective materials include aluminum foil and mirrors. Some materials, such as glass, are transparent and allow light to pass through them