a simple harmonic oscillator consists of a block of mass 4.2 kg and spring with spring constant 229 n/m on a frictionless horizontal surface. the block is moved from equilibrium and released from rest. if the block's maximum speed 13.6 m/s, calculate the amplitude a of the motion in meters.

Two football players are running towards each other in a straight line (exact opposite directions). Player A is running at 3.3 m/s and has a mass of 105 kg. Player B is 126 kg.

The players collide and their net momentum after the collision is 0 Ns. How fast was Player B running before they collided? The law of conservation of momentum states that in a closed system, the total momentum remains constant. Therefore, the total momentum of both players before collision equals the total momentum of both players after collision. This means: mA * VA + mB * VB = (mA + mB) * V, where VA and VB are the initial velocities of A and B, respectively, and V is their final velocity after the collision (which is 0).

So, we can rearrange the above equation to solve for VB. VB = (mA * VA) / mB Here, mA = 105 kg and VA = 3.3 m/s, and mB = 126 kg. Substituting the values, we get: VB = (105 * 3.3) / 126= 2.75 m/s Therefore, Player B was running at 2.75 m/s before they collided.

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The person covers a total distance of 2d and the total time taken is the sum of the time taken to travel from A to B and the time taken to travel from B to A.

When a person walks from point A to point B and then back to point A, they are covering the same distance twice. The person walks at a constant speed of 5.40 m/s from point A to point B, and then at a constant speed of 3.20 m/s from point B back to point A.

To calculate the total distance covered, we need to consider the distance from A to B and the distance from B to A. Since the person covers the same distance twice, we can simply add these two distances together.

The time taken to travel from A to B can be calculated by dividing the distance (d) by the speed (5.40 m/s). Similarly, the time taken to travel from B to A can be calculated by dividing the distance (d) by the speed (3.20 m/s).

The total time taken is the sum of the time taken to travel from A to B and the time taken to travel from B to A. Let's assume the distance from A to B is d. Therefore, the distance from B to A will also be d. Adding these two distances gives us a total distance of 2d.

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answer :

Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet: Ultraviolet radiation is emitted by the Sun and are the reason skin tans and burns. "Hot" objects in space emit UV radiation as well.

Which objects emit electromagnetic waves?

All objects emit electromagnetic radiation according to their temperature. Colder objects emit waves with very low frequency (such as radio or microwaves), while hot objects emit visible light or even ultraviolet and higher frequencies.

Answer:

That's Rontgen

Explanation:

Wilhem Rontgen

While walking at a speed of 1 m/s, the estimated de Broglie wavelength would be approximately 9.46 x 10^-36 meters.

To estimate the de Broglie wavelength while walking at a speed of 1 m/s, we can use the de Broglie wavelength formula:

λ = h / p,

where λ is the de Broglie wavelength, h is the Planck's constant (approximately 6.626 x 10^-34 J·s), and p is the momentum of the object.

The momentum of an object can be calculated using the equation:

p = m * v,

where p is the momentum, m is the mass of the object, and v is the velocity of the object.

Since we don't have specific information about your mass, let's assume an average adult mass of 70 kg.

Calculating the momentum:

p = 70 kg * 1 m/s = 70 kg·m/s

Now we can use the de Broglie wavelength formula to estimate the wavelength:

λ = 6.626 x 10^-34 J·s / (70 kg·m/s)

λ ≈ 9.46 x 10^-36 m

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The change in momentum of the ball of mass 0.15 kg is -0.3 kgm/s.

Change in momentum is the product of mass and change in velocity.

To calculate the change in momentum of the ball, we use the formula

Formula:

Where:

From the question,

Substitute these values into equation 1

Hence, The change in momentum is -0.3 kgm/s.

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The intensity starts at Io/2 , decreases to zero, increases to Io/2, decreases to zero and increases to Io/2 is correct answer.

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation. Watts per square metre (W/m2) and kilogrammes per square metre (kg/s3) are the units used in the SI system. With waves like acoustic waves (sound) or electromagnetic waves like light or radio waves, intensity is most usually employed to describe the average power transfer across one period of the wave. Other situations where energy is exchanged can also be described in terms of intensity. One could, for instance, figure out how much kinetic energy each drop of water from a sprinkler is carrying.

The intensity is Io/2 after going through the first polarizer.

At some point, let the angle between the polarizers be.

The intensity is then given as after going through the second polarizer.

I = cos2(Io/2).

Cos2 is 1 at 0°, 180°, and 360° and zero at 90° and 270° because ranges from 0 to 360°. Consequently, the transmitted light's intensity I,

The intensity starts at Io/2 , decreases to zero, increases to Io/2, decreases to zero and increases to Io/2 is correct answer.

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Answer:

a) v = 0.4799 m / s,  b)  K₀ = 1600.92 J,    K_f = 5.46 J

Explanation:

a) How the two players collide this is a momentum conservation exercise. Let's define a system formed by the two players, so that the forces during the collision are internal and also the system is isolated, so the moment is conserved.

Initial instant. Before the crash

        p₀ = m v₁ + M v₂

where m = 95 kg and his velocity is v₁ = -3.75 m / s, the other player's data is M = 111 kg with velocity v₂ = 4.10 m / s, we have selected the direction of this player as positive

Final moment. After the crash

       p_f = (m + M) v

as the system is isolated, the moment is preserved

       p₀ = p_f

       m v₁ + M v₂ = (m + M) v

       v =\(\frac{m v_1 + M v_2}{m+M}\)

let's calculate

        v = \(\frac{ -95 \ 3.75 \ + 111 \ 4.10}{95+111}\)

        v = 0.4799 m / s

b) let's find the initial kinetic energy of the system

         K₀ = ½ m v1 ^ 2 + ½ M v2 ^ 2

         K₀ = ½ 95 3.75 ^ 2 + ½ 111 4.10 ^ 2

         K₀ = 1600.92 J

the final kinetic energy

         K_f = ½ (m + M) v ^ 2

         k_f = ½ (95 + 111) 0.4799 ^ 2

         K_f = 5.46 J

Acceleration will increase as the angle of incline does, and as a result, force will as well.

The gravitational force acting on the cart increases as the slope of the incline increases, causing it to accelerate more quickly.The ramp's steepness will cause an increase in inclination. As a result, the acceleration increases as the inclination angle increases. This acceleration causes the object to descend with greater speed.

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Answer:

the formula of the compound formed when Beryllium reacts with the sulfate ion is BeSO4

Explanation:

Answer:

Atomic energy is produced from changes within the nucleus of an atom.

Answer:

nucleus

Explanation:

Answer:

Schools overrated

Explanation:

xD

Answer:

Explanation:

The higher the object is relative to some defined baseline (like the ground), the greater the potential energy.

Potential Energy = U = mgh

U is directly proportional to h (height of the object), so the greater the h the greater the U.

The force on an electron due to a magnetic field can be calculated using the formula F = qvB, where F is the force, q is the charge of the electron, v is the velocity of the electron, and B is the magnitude of the magnetic field.

Given:

Charge of the electron (q) = 1.60218 x 10^-19 C

Mass of the electron (m) = 9.10939 x 10^-31 kg

Magnitude of the magnetic field (B) = 0.259 T

To find the force on the electron, we need to determine the velocity of the electron after it has been accelerated across the potential difference.

The potential difference (V) is given as 82300 V, which can be used to calculate the final kinetic energy of the electron using the equation:

qV = (1/2)mv^2

Solving for v, we have:

v = sqrt((2qV)/m)

Substituting the given values, we find:

v = sqrt((2 * 1.60218 x 10^-19 C * 82300 V) / (9.10939 x 10^-31 kg))

v ≈ 5.47 x 10^6 m/s

Now, we can calculate the force on the electron due to the magnetic field:

F = qvB

Substituting the values, we get:

F = (1.60218 x 10^-19 C) * (5.47 x 10^6 m/s) * (0.259 T)

F ≈ 2.244 x 10^-15 N

Therefore, the force on the electron due to the magnetic field is approximately 2.244 x 10^-15 N.

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Answer:

9.8 meters per square second

Explanation:

Free Falling Object. the value of g is 9.8 meters per square second on the surface of the earth. The gravitational acceleration g decreases with the square of the distance from the center of the earth. But for many practical problems, we can assume this factor to be a constant.

Answer:

To calculate the amount of Zn that can be deposited at the cathode in the electrolysis of molten ZnCl2, we need to use Faraday's law of electrolysis, which states that the amount of substance deposited at an electrode is proportional to the amount of charge passed through the cell.

The equation for Faraday's law is:

moles of substance = (electric charge passed / Faraday's constant)

where the Faraday's constant is the charge carried by one mole of electrons and is equal to 96500 C/mol.

Now, we can calculate the amount of Zn that can be deposited using the following steps:

Calculate the electric charge passed in one hour:

Electric charge = current × time

Electric charge = 0.01 A × 3600 s = 36 C

Calculate the number of moles of Zn that can be deposited:

moles of Zn = (electric charge passed / Faraday's constant)

moles of Zn = (36 C / 96500 C/mol) = 0.000373 moles of Zn

Calculate the mass of Zn deposited:

mass of Zn = moles of Zn × molar mass of Zn

The molar mass of Zn is 65.38 g/mol

mass of Zn = 0.000373 moles of Zn × 65.38 g/mol = 0.0244 g

Therefore, the amount of Zn that can be deposited at the cathode by the passage of 0.01 ampere for one hour is approximately 0.0244 grams.

Answer:

divide by 10 instead of multiplying by 10.

Explanation:

For example, the diameter of a hydrogen atom is approximately 0.000000000106 meters. To write small numbers, you divide by 10 instead of multiplying by 10. You can represent this in scientific notation using negative exponents. 0.000000000106 meters is 1.06 meters with the decimal point moved to the left 10 times.

Answer:

1.06 * 10^-10 m

Explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The correct  option is D, A material in which electrons are able to move easily conductor.

A conductor is a material or substance that allows for the flow of electric charge. This is due to the presence of free electrons within the material, which are not bound to specific atoms and are able to move easily in response to an electric field. Conductors are widely used in electrical circuits, where they are used to transport electricity from one place to another with minimal loss of energy.

Conductors are typically characterized by their ability to conduct electricity, which is measured by their electrical conductivity. This property is determined by a number of factors, including the nature of the material, its temperature, and the strength of the electric field. Some common examples of conductors include metals such as copper, aluminum, and gold, as well as certain non-metallic materials like graphite.

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Answer:

the answer is true.

Explanation:

hope it will help you

In words, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time.

The INTERSALT Study was designed to investigate the relationship between dietary sodium and blood pressure (hypertension) in populations worldwide.

The study included 10,079 men and women from 52 population samples in 32 countries. One of the goals of the study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time.

The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03x + 7.19, with R2 = 0.27, n = 1369.

The coefficient of determination, R2, is a statistical measure that represents the proportion of the variance for a dependent variable (y) that's explained by an independent variable (x) or variables in a regression model.

In this case, the R2 of 0.27 means that 27% of the variability in y (24-hour urinary Na) can be explained by x (estimated 24-hour urinary Na) obtained from casual urine specimens at one point in time. The remaining 73% of the variability in y is due to other factors that are not included in the regression model.

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The coordinate axes are X and Y. The X-axis is the horizontal line that goes from left to right, while the Y-axis is the vertical line that goes from bottom to top.

The point where they intersect is known as the origin. Each point on the grid is identified by its coordinates, which are written in the order (x, y), with the x-coordinate representing the horizontal position and the y-coordinate representing the vertical position. The x-coordinate increases from left to right, and the y-coordinate increases from bottom to top. Therefore, the point in the bottom left corner would be (0, 0), and the point in the top right corner would be (10, 10).The grid is made up of 100 square cells that are all the same size. Each cell is assigned a unique pair of coordinates, and all points on the grid can be identified using these coordinates.

The grid is commonly used to represent data in various fields, including mathematics, science, and computer science.

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The number of grams of carbon dioxide that were produced is 0.084 g. It is a known fact that the antacid tablet contained calcium carbonate as the active ingredient, and when an acid solution was added to the tablet, carbon dioxide gas was released, producing a fizz.

The solution obtained weighed 53.960 g, while the original tablet weighed 0.756 g. We need to calculate the amount of carbon dioxide produced.Here is the step-by-step explanation of the solution to this problem:1. We need to find out the mass of the carbon dioxide that was produced during the reaction.2. The mass of the original tablet = 0.756 g3. The mass of the resulting solution = 53.960 g4. Therefore, the mass of the acid solution = 53.960 - 0.756 = 53.204 g5. Now, the mass of carbon dioxide can be calculated using the mass of acid solution before and after the reaction.6. The mass of carbon dioxide = (mass of acid solution before reaction) - (mass of acid solution after reaction)7. The mass of acid solution before reaction = 53.400 g.8.

The mass of acid solution after reaction = 53.960 g.9. Therefore, the mass of carbon dioxide produced = (53.400 - 53.960) g = -0.56 g.10. The negative value doesn't make any sense, which means there must be a mistake in the calculations.11. On reviewing the calculations, we can see that the mass of the original tablet was wrongly subtracted from the mass of the resulting solution.12. The correct mass of the acid solution = 53.960 g - 0.756 g = 53.204 g.13. Therefore, the mass of carbon dioxide produced = (53.400 - 53.204) g = 0.196 g.14. However, this is not the final answer, as this value includes the mass of the carbon dioxide produced and the mass of the acid solution.15. We only need to find the mass of carbon dioxide, which can be calculated as follows:16. The mass of carbon dioxide = (0.196 g/1 mol) * (1 mol/100 g) * (44 g/mol)17. The number of grams of carbon dioxide that were produced is 0.084 g.

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Answer:

If the potential difference between the ends of the wire are the same then wire Y will experience a smaller drift speed. This is necessary to explain the difference in resistivity.

Answer:

The displacement after half a circle would be, given after half the circle, the particle will reach the diametrically opposite point from point A to point B. And, we know displacement is the shortest path between the initial and final point. Hence, the displacement after the half-circle is 2r.

Explanation:

Which is choice C

To write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane, we need to consider the forces acting on the block.

First, let's assume that the angle of the inclined plane is θ and the weight of the block is given by mg, where m is the mass of the block and g is the acceleration due to gravity.

The forces acting on the block are:

1. The weight of the block acting vertically downward with a magnitude of mg.
2. The normal force acting perpendicular to the inclined plane, which is equal in magnitude and opposite in direction to the component of the weight perpendicular to the inclined plane. This force can be written as mg * cos(θ).
3. The force of static friction acting parallel to the inclined plane, which is denoted as μs * (mg * cos(θ)). Here, μs is the coefficient of static friction.

Since the block is just about to slide up the inclined plane, the static friction force has reached its maximum value. Therefore, the expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane is:

Sum of forces in x-direction = mg * sin(θ) - μs * (mg * cos(θ))

In this expression, the first term represents the component of the weight parallel to the inclined plane, and the second term represents the maximum static friction force opposing the motion.

It's important to note that this expression assumes that the block is not accelerating in the x-direction and is in equilibrium. If the block is already moving up the inclined plane, the expression would be different.

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Answer:

Explanation:

Sound, seismic, and electromagnetic waves transmit energy through different mediums due to the motion of particles in the medium.

Sound waves transmit energy through the vibration of particles in a solid, liquid, or gas. The energy is transferred from particle to particle as the wave travels through the medium.

Seismic waves are created by the sudden release of energy from earthquakes, volcanic eruptions, or other geological events. These waves travel through the Earth's solid mantle and crust, transmitting energy through the vibration of particles in the rock.

Electromagnetic waves are a type of wave that does not require a medium to travel through. They are created by the motion of charged particles, such as electrons, and can travel through a vacuum, such as space. Electromagnetic waves transfer energy through the oscillation of electric and magnetic fields.

Answer:

gasses, dust, water, and ice

Explanation:

Answer:

Different gases

dust particles

h2o water

ice

Explanation:

The steady-state speed that can be achieved with a maximum drive power of 1.0 MW is approximately 9.73 m/s.

To determine the steady-state speed that can be achieved with a maximum drive power of 1.0 MW (megawatt), we need to consider the driving resistance and the available power.

Given information:

Mass of the locomotive (m1): 50 tonnes = 50,000 kg

Mass of each car (m2): 15 tonnes = 15,000 kg

Number of cars (n): 20

Gradient of the track (θ): 2% = 0.02

Friction coefficient (μ): 1%

Gravitational acceleration (g): 9.81 m/s^2

Maximum drive power (Pmax): 1.0 MW = 1,000,000 W

First, let's calculate the total mass of the train:

Total mass (M) = Mass of locomotive + Mass of cars

M = m1 + (m2 × n)

M = 50,000 kg + (15,000 kg × 20)

M = 50,000 kg + 300,000 kg

M = 350,000 kg

Next, we can calculate the driving resistance:

Driving resistance (R) = Gravitational resistance + Rolling resistance

Gravitational resistance (Rg) = M × g × sin(θ)

Rolling resistance (Rr) = μ × M × g × cos(θ)

R = Rg + Rr

Substituting the given values:

Rg = 350,000 kg × 9.81 m/s^2 × sin(0.02)

Rr = 0.01 × 350,000 kg × 9.81 m/s^2 × cos(0.02)

R = Rg + Rr

Calculate Rg:

Rg = 350,000 kg × 9.81 m/s^2 × sin(0.02)

Rg ≈ 350,000 kg × 9.81 m/s^2 × 0.02

Rg ≈ 68,430 N

Calculate Rr:

Rr = 0.01 × 350,000 kg × 9.81 m/s^2 × cos(0.02)

Rr ≈ 0.01 × 350,000 kg × 9.81 m/s^2 × 0.9998

Rr ≈ 34,267 N

Calculate R:

R = Rg + Rr

R ≈ 68,430 N + 34,267 N

R ≈ 102,697 N

Now, we can calculate the maximum velocity (vmax) using the maximum power available:

Power (P) = Force (F) × Velocity (v)

P = R × v

vmax = Pmax / R

Substituting the given values:

vmax = 1,000,000 W / 102,697 N

vmax ≈ 9.73 m/s

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The energy associated with an infrared photon with a wavelength of 7.93 micrometers (μm) is approximately 2.49 ×  \(10^{-20}\)joules (J).

In order to calculate the energy associated with an infrared photon, we can use the equation E = (hc) ÷ λ, where E represents energy, h is Planck's constant (approximately 6.62607015 × \(10^{-34}\) J·s), c is the speed of light (approximately 299,792,458 m/s), and λ is the wavelength of the photon.

Given that the wavelength is 7.93 μm (7.93 × \(10^{-6}\) m), we can substitute these values into the equation to find the energy:

E = (6.62607015 × \(10^{-34}\) J·s × 299,792,458 m/s) ÷ (7.93 × \(10^{-6}\) m)

Evaluating this expression using a calculator, we find:

E ≈ 2.49 × \(10^{-20}\) J

Therefore, an infrared photon with a wavelength of 7.93 μm is associated with an energy of approximately 2.49 × 10^(-20) joules (J).

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