what is the frequency f (in hz) of the resulting periodic motion of the block/bullet and spring system?

a) The wheel's angular velocity after 7.0 s is 43.29 rpm.

b) The wheel makes 4.66/2π or 0.74 revolutions in this time.

a)The angular velocity, constant angular acceleration:

ω = ω0 + αt

Where, ω is the final angular velocity

ω0 is the initial angular velocity

α is the constant angular acceleration

t is the time elapsed

Substituting the given values,

ω = ω0 + αt

  = 40 rpm + 0.47 rad/s² × 7 s

  = 40 rpm + 3.29 rpm

  = 43.29 rpm

B)The number of revolutions, the total angle rotated by the wheel is in radians.

θ = ω0t + 1/2αt²

Where θ is the total angle rotated in radians t is the time elapsed

Substituting the given values,

θ = ω0t + 1/2αt²

 = (2π × 40 rpm/60) × 7.0 s + 0.5 × 0.47 rad/s² × (7.0 s)²

 = 4.66 rad

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Elements have atoms and protons which makes them the building blocks of matters.

What are elements?

The nature of elements make them impossible to broken down into simpler kinds of matter.

Elements can be grouped into:

In summary, elements have atomic number, structures, densities, and unique properties.

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The given problem can be exemplified in the following diagram:

The weight of the bar is concentrated in its center of mass which is located in the middle of the longitude of the bar. We can add the total torques at the point where the pivot touches the bar and we get:

Here we have used momentum counter-clockwise as positive. Since the system is in equilibrium the sum of the torques must be equal to zero:

Now we solve the operations, we will use for the acceleration of gravity 9.8 meters per second squared:

Now we solve for the mass "M" first by subtracting 88.2Nm from both sides:

Now we divide both sides by -1.96:

Solving the operations we get:

Therefore, the mass of the bar is 45 kg.

Answer:

I would agree with the answers 1, 3, 4, 5

Obviously energy will not spontaneously flow from a cooler object to a warmer object

Answer:

A. Thermal energy that is not used to do work is often released to the surroundings.

C. Thermal energy flows from a warmer object to a cooler object.

D. Thermal energy is released as unusable energy by a heat engine, which is never 100 percent efficient.

E. Thermal energy flows when two objects in contact have a temperature difference.

Explanation:

Got it right on edge 23

Hubble's law expresses a relationship between the distance of a galaxy and the speed at which it is moving away from us.

Hubble’s law is the observation in physical cosmology that the movement of galaxies takes place away from the Earth at speeds that are proportional to their distance. In other words, the farther a galaxy is, the faster it would move away from Earth. Furthermore, the determination of the velocity of the galaxies takes place by their redshift, a shift of the light emitted toward the spectrum’s red end. Experts consider the Hubble’s law as the first observational basis for the expansion of the universe. Currently, it serves as one of the pieces of evidence that experts cite most often in support of the Big Bang model. Furthermore, Hubble’s flow refers to the motion of astronomical objects that take place solely due to this expansion.

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Hubble's Law expresses a relationship between the distance of a galaxy and the speed it's moving away from us. The law states that these two quantities are directly proportional, paving the way for the theory that the universe is expanding.

Hubble's Law, formulated by astronomer Edwin Hubble, expresses a specific relationship between the distance of a galaxy and the speed at which it is moving away from us. The law states that a galaxy's recession velocity (the speed at which it is moving away) is directly proportional to its distance from us. This concept is commonly expressed in the equation v = H × d, where 'v' is the galaxy's velocity, 'H' is Hubble's constant, and 'd' is the distance of the galaxy from us.

The Hubble's constant, estimated to be about 22 km/s per million light-years, is a crucial factor. This means that if a galaxy is 1 million light-years farther away, it will move away 22 km/s faster. Key evidence supporting this law includes the observed redshift of distant galaxies' spectral lines, implying that they are moving away from us.

Finally, it’s important to note that Hubble's Law is the foundation of the assertion that the universe is expanding. Thus, it profoundly impacts our understanding of the origin and evolution of the universe.

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Inheritance is fundamental for reproduction because it means the perpetuity of characteristics.  It is the process by which genetic information is passed on from parents to offspring.

Inheritance refers to the mechanism through which genetic information (DNA) is passed from parents to offspring across generations.

In genetics, inheritance can be used to explain the similar phenotypic traits between parents and offspring.

Reproduction is the process for which new organisms are developed, which requires the inheritance of many characteristics of the parents in offspring.

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Answer:

Explanation:

The resistance of this device is determined by using the formuia from Ohms Law:

V = IR

where; V = voltage

I = current

R = resistance

From the above equation:

R = V/ I ---- (1)

And

I = P/V    --- (2)

If 1 unit = 1 KWH = 3.6 × 10⁶ J

Then;

2.2 units = (3.6 × 10⁶ × 2.2)

= 7.92 × 10⁶ J

So, Energy = 7.92 × 10⁶ J

Also:

Power = energy/time

Power =  7.92 × 10⁶ J / 1 hour

Power = 7.92 × 10⁶ J / 3600 seconds

Power = 2200 Watts

From equation (2)

I = P/V

I = 2200/220

I = 10 A

Recall that:

Resistance R = V/I

Resistance R = 220/10

Resistance R = 22 ohms

SO, if 1 unit costs = Ts 6.00

Then the cost of 2.2 unit = 2.2 ( Rs  6.00)

= Rs 13.20

The angular displacement can be expressed in terms of the final angular velocity, initial angular velocity, and time as θ = (1/2)*(ω_f + ω_i)*t.

What is Angular Velocity?

Angular velocity is a measure of how fast an object is rotating around a central point or axis. It is defined as the change in angle over time, usually measured in radians per second. Angular velocity can be either positive or negative, depending on the direction of rotation, and it is a vector quantity, meaning it has both magnitude and direction. It is often used in the study of rotational motion and is an important concept in physics and engineering.

The angular displacement (θ) of an object rotating with a constant angular acceleration (α) can be found using the following equation:

θ = ω_i*t + (1/2)αt^2

where ω_i is the initial angular velocity of the object, t is the time elapsed, and the other variables are as defined in the question.

If the object starts from rest (ω_i = 0), then the equation simplifies to:

θ = (1/2)αt^2

If the object starts with an initial angular velocity ω_i, and the final angular velocity is ω_f, then we can use the equation for angular acceleration:

α = (ω_f - ω_i) / t

and substitute it into the first equation to get:

θ = (ω_ft - ω_it) + (1/2)*((ω_f - ω_i) / t)*t^2

Simplifying, we get:

θ = ω_ft - ω_it + (1/2)*(ω_f - ω_i)*t

or, equivalently:

θ = (1/2)*(ω_f + ω_i)*t

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Answer:

Joule’s law of heating states that when a current ‘i ' passes through a conductor of resistance ‘r’ for time ‘t’ then the heat developed in the conductor is equal to the product of the square of the current, the resistance and time.

H = i 2 rt

The reason behind the heat produced is the collision of the free electrons with the lattice ions or atoms while accelerating in presence of the external electric field.

we know that

volt= work done/ total charge or v = w/q

from this we get w= vq

we know that current i = q / t

so q = it

putting this in prev equation

we get w = vit

from ohms law v = ir

putting it in prev eq we get

w = irit = i2rt joule as work is stored as heat soH = I2RT Joules

if a current carrying conductor having resistance (r) gets heated by to passing of current (i) for time (t) and the heat thereby produced be H

joules law states that

H propotional to i^ 2 when r and t are constant

H propotional to r when I and t are constant

H propotional to t when r and I constant

The buoyant force exerted on the 1 kg rock by the water is 2 N.

The buoyant force is the force exerted by a fluid (in this case, water) on an object that is submerged in it. To find the buoyant force, we need to subtract the weight of the object when it is submerged in the fluid from the weight of the object when it is suspended above the fluid.

The weight of the rock when it is suspended above water is 9.8 N (the weight of the rock is equal to its mass multiplied by the acceleration due to gravity, which is 9.8 m/s²).

The weight of the rock when it is suspended beneath the surface of the water is 7.8 N.

To find the buoyant force, we can use the following formula:

Buoyant force = weight of object above fluid - weight of object below fluid

Buoyant force = 9.8 N - 7.8 N = 2 N

Therefore, the buoyant force exerted on the 1 kg rock by the water is 2 N.

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The amount of energy absorbed (eV) by a photon can be calculated using the formula: Energy (eV) = Planck's constant (eV s) × speed of light (m/s) / wavenumber (cm^-1).

Step 1:

To calculate the amount of energy absorbed (eV) by a photon given the wavenumber, you can use the formula: Energy (eV) = Planck's constant (eV s) multiplied by the speed of light (m/s) divided by the wavenumber (cm^-1).

Step 2:

When it comes to calculating the energy absorbed by a photon, the wavenumber is an essential parameter. The wavenumber represents the number of waves per unit distance and is usually measured in reciprocal centimeters (cm^-1). In order to determine the energy absorbed by a photon in electron volts (eV), you can utilize the following formula:

Energy (eV) = (Planck's constant × Speed of light) / Wavenumber

Planck's constant is denoted by the symbol "h" and has a value of approximately 4.1357 × 10^-15 eV s. The speed of light, represented by "c," is approximately 2.998 × 10^8 meters per second. By dividing the product of Planck's constant and the speed of light by the wavenumber, you can obtain the energy absorbed by the photon in electron volts.

In simpler terms, the formula states that the energy of a photon is directly proportional to its frequency. As the wavenumber increases, indicating a higher frequency, the energy absorbed by the photon also increases. Conversely, a decrease in wavenumber corresponds to a lower frequency and a decrease in the energy absorbed.

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The water velocity from the nozzle is approximately 27.33 m/s.

The Bernoulli equation, which connects a fluid's pressure, velocity, and height in a system, must be used to address this issue.

Let's start by converting the hose and nozzle's diameter from inches to meters:

Hose diameter: 5.9999 in = 0.1524 m

Nozzle diameter: 0.73 in = 0.018542 m

Next, let's find the cross-sectional area of the nozzle, which we'll need for calculating the velocity of the water:

Nozzle area: A = πr = π(0.009271 m)² ≈ 0.000269 m²

Now we can use the Bernoulli equation to solve for the velocity of the water:

P + 1/2ρv² + ρgh = constant

where:

P is the absolute pressure of the water at the pump (5 atm² = 506625 Pa)

ρ is the density of the water (1000 kg/m³)

v is the velocity of the water at the nozzle (what we're solving for)

g is the acceleration due to gravity (9.81 m/s²)

h is the height difference between the pump and nozzle (10 m)

At the pump, the water is at rest, so the velocity term is 0. We'll set the constant to the pressure at the nozzle, which is the atmospheric pressure (101325 Pa).

P + 1/2ρv² + ρgh = 101325 Pa

Solving for v:

1/2ρv² = 101325 - P - ρgh

v² = 2(101325 - P - ρgh) / ρ

v = √(2(101325 - P - ρgh) / ρ)

Substituting in the values:

v = √(2(101325 - 506625 - 10009.8110) / 1000)

v ≈ 27.33 m/s

So the water velocity from the nozzle is approximately 27.33 m/s.

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The water velocity from the nozzle is approximately 15.3 m/s.

When a fireman climbs a 10 m high ladder carrying a hose with a 5.9999 in diameter and a 0.73 in diameter nozzle, and the pump has an absolute pressure of 5 atm, the water velocity from the nozzle can be calculated. To determine this, we can use the principles of fluid mechanics.

First, we need to convert the given diameters from inches to meters. Since 1 inch is equal to 0.0254 meters, the hose diameter is 0.1524 m, and the nozzle diameter is 0.018542 m.

The velocity of water can be determined using the Bernoulli's equation, which states that the sum of pressure, kinetic energy, and potential energy per unit volume is constant in a steady flow of an incompressible fluid. We can neglect the potential energy change since the ladder's height is relatively small compared to the diameter of the nozzle.

Applying the Bernoulli's equation, we can calculate the velocity using the formula:

(v^2)/2 + P/(ρ*g) = constant

Where:

v is the velocity of the water,

P is the absolute pressure,

ρ is the density of the water, and

g is the acceleration due to gravity.

Given that the absolute pressure is 5 atm, which is equivalent to 506625 Pa, and the density of water is 1000 kg/m^3, we can substitute these values into the equation:

(v^2)/2 + 506625/(1000*9.8) = constant

Simplifying the equation, we find:

(v^2)/2 + 5173.45 = constant

Since we are interested in the velocity of the water, we can solve for v:

(v^2)/2 = constant - 5173.45

(v^2)/2 = constant - 5173.45

v^2 = (constant - 5173.45) * 2

v = sqrt((constant - 5173.45) * 2)

Now, we can calculate the constant using the initial conditions where the fireman is at the top of the ladder:

(0^2)/2 + 506625/(1000*9.8) = constant

0 + 5173.45 = constant

Therefore, the constant is 5173.45. Substituting this value back into the equation, we have:

v = sqrt((5173.45 - 5173.45) * 2)

v = sqrt(0 * 2)

v = sqrt(0)

v = 0 m/s

This means that when the fireman reaches the top of the ladder, there is no water velocity from the nozzle since the water is not flowing yet.

In conclusion, the water velocity from the nozzle is approximately 15.3 m/s, but when the fireman reaches the top of the ladder, there is no water velocity initially. The velocity gradually increases as the water starts to flow.

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Answer:

A. it's the only answer that makes sense. if I'm wrong sorry

Answer:

the force would increase 4 times more

Explanation

more force results more mass or acceleration

Answer:

it would grow by 4x

Explanation:

p^2c^2 = T(2m _0 c^2 + T) is true when considered a particle with rest mass m _0, momentum p. and kinetic- energy T.

To begin, we know that the total energy of a particle with rest mass m_0 and momentum p is given by E^2 = (mc^2)^2 + (pc)^2, where m is the relativistic mass of the particle and c is the speed of light.

We can rearrange this equation to solve for m: m^2c^4 = E^2 - (pc)^2

Since we are dealing with a particle with kinetic energy T, we know that the total energy of the particle is given by E = T + m_0c^2.

Substituting this into our equation for m, we get:

(m_0 + m)^2c^4 = (T + m_0c^2)^2 - (pc)^2

Expanding the right side of the equation, we get:

m_0^2c^4 + 2m_0Tc^2 + T^2 = T^2 + 2m_0Tc^2 + m_0^2c^4 + 2m_0Tc^2 - (pc)^2

Simplifying and rearranging, we get:

(pc)^2 = T(2m_0c^2 + T)

Finally, we can substitute p = mv (where v is the velocity of the particle) and E = mc^2 + T into the expression for (pc)^2 to get:

p^2c^2 = (mc)^2c^2 = (E^2 - T^2)c^2 = [(mc^2 + T)^2 - T^2]c^2 = [2m_0c^2 + T]T

Therefore, we have shown that p^2c^2 = T(2m_0c^2 + T), as required.

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Answer:

C

Explanation:

Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move

Statement provide another rationale for higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

A mineral is an inorganic element or compound that occurs in nature and has a recognizable chemical composition, crystal structure, and physical characteristics. Quartz, feldspar, mica, amphibole, olivine, and calcite are examples of common minerals.

A body of undifferentiated mineral materials or an amalgamation of one or more minerals is referred to as a rock. Granite, basalt, limestone, and sandstone are typical rocks.

The higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

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Answer:

38

Explanation:

76 divided by 2 =38

Regulating the amount of light involves controlling the brightness, while condensing the light refers to focusing and concentrating the light rays.

In physics, regulating the amount of light and condensing the light are two distinct concepts.

Regulating the amount of light involves controlling the intensity or brightness of light. This can be achieved through various methods, such as using dimmer switches or adjustable light sources. By increasing or decreasing the amount of electrical current flowing through a light source, the brightness can be adjusted accordingly. For example, dimmer switches in homes allow users to control the brightness of their lights.

Condensing the light refers to focusing or concentrating the light rays. This is often accomplished using optical devices like lenses or mirrors. These devices manipulate the path of light, causing the rays to converge into a smaller area. As a result, the light becomes more concentrated and focused. This concept is widely used in applications such as photography, where lenses are used to focus light onto the camera sensor.

While regulating the amount of light is about controlling the brightness, condensing the light is about focusing and concentrating the light rays.

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Regulating the amount of light is about controlling the overall brightness or intensity of light, while condensing the light is concerned with focusing or concentrating light beams to a smaller area or specific point.

Regulating the amount of light and condensing the light are two distinct concepts related to controlling and manipulating the intensity and distribution of light. Here is a comparison between the two:

Regulating the Amount of Light:

Regulating the amount of light refers to adjusting the intensity or brightness of light. It involves controlling the output or transmission of light to achieve desired lighting levels.

This can be done using various methods, such as dimming switches, adjustable light fixtures, or using curtains, blinds, or shades to block or filter incoming light. The objective is to create an appropriate lighting environment for different purposes, such as providing ambient lighting or creating a specific mood or atmosphere.

Condensing the Light:

Condensing the light involves focusing or concentrating light rays to a smaller area or a specific point. This is typically achieved by using optical devices such as lenses or mirrors.

The purpose of condensing light is to increase its intensity or to direct it to a specific location for enhanced illumination or focused illumination. Condensing light can be useful in applications where concentrated light is required, such as in spotlights, projectors, or laser systems.

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By means of a fermentation process, milk is converted to curd. Casein is a type of globular protein found in milk. The chemical reaction between lactic acid bacteria and milk produces curd.

What is process' plural form?

processes noun, plural [pros-es-iz, uh-siz, uh-seez or, particularly in British, proh-ses-iz, proh-suh-seez]. a well-planned series of steps taken to achieve a certain goal, such as creating a method for homogenizing milk. The decay process is a continuous activity, operation, or set of changes that take place in a specific way.

What does business process entail?

business English | process a series of steps required to carry out an action or get a result: Even if it means waiting the projects start date, management understands how crucial it is to get the procedure just right.

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It possesses a force characteristic of 10.0 Y e and is fixedly coupled to one side of a massless vertical spring. The spring's opposite end is fastened.

What is the straightforward meaning of force?

Strength or energy used to move something or affect a change in something. the natural forces.

What is a force unit?

The newton, abbreviated N, is the Si derived unit of force.

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As the girl walks along the plank at a constant speed of 1.49 m/s, the plank will also move on the frozen lake due to the conservation of momentum. Since the surface of the lake is frictionless, there is no external horizontal force acting on the system (girl and plank), making the total momentum of the system constant.

Let's denote the girl's mass as m1 (44.4 kg) and the plank's mass as m2 (159 kg). The girl's speed relative to the plank is v1 (1.49 m/s), and the speed of the plank relative to the frozen lake is v2.
Applying the conservation of momentum:
m1 * v1 = m2 * (-v2) (the negative sign indicates that the plank moves in the opposite direction of the girl)
44.4 kg * 1.49 m/s = 159 kg * (-v2)
Now, solving for v2:
v2 = (44.4 kg * 1.49 m/s) / 159 kg = -0.418 m/s
The negative sign indicates that the plank moves in the opposite direction of the girl's motion. The speed of the plank relative to the frozen lake is 0.418 m/s.

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Yes, it is possible for both the pressure and volume of a monatomic ideal gas to change without causing the internal energy of the gas to change. This occurs when the gas undergoes an adiabatic process, meaning there is no heat transfer between the gas and its surroundings.

In an adiabatic process, the change in internal energy (ΔU) is solely dependent on the work done on or by the gas (W). According to the first law of thermodynamics, ΔU = Q + W, where Q is the heat transfer. Since Q = 0 in an adiabatic process, ΔU = W.

For the internal energy of the gas to remain constant (ΔU = 0), the work done on or by the gas must also be zero. This can be achieved through a specific path in the pressure-volume (PV) diagram, where the gas expands and does work on its surroundings, followed by compression, with the surroundings doing an equal amount of work on the gas. The net work done over this process will be zero, ensuring the internal energy remains unchanged.

In summary, it is possible for both the pressure and volume of a monatomic ideal gas to change without affecting its internal energy by undergoing an adiabatic process with zero net work done.

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In general, studies suggest that low cancer rates are associated with high dietary fiber intakes. The correct answer is: b.

Studies have shown that people who eat a high-fiber diet have a lower risk of developing cancer. Fiber helps to keep the digestive system healthy and may also help to protect against cancer by reducing the risk of obesity and inflammation.

The other options are incorrect. High red meat intakes, low folate intakes, high iron intakes, and low cruciferous vegetable intakes are all associated with an increased risk of cancer.

It is important to note that these are general trends and that individual risk factors may vary. It is always best to talk to your doctor about your individual cancer risk and how you can reduce it.

Therefore, the correct option is B, high dietary fiber intakes.

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For vibrational motion, the amplitude denotes the maximum displacement from the equilibrium position.

What is vibrational motion?

The motion in which there are some vibrations about the fixed position called mean position is termed vibrational motion. For example, the motion of a wave on the string has perpendicular vibration.

What is amplitude?

The amplitude is defined as the maximum displacement of the vibration from its mean position. For vibrational motion, the mean position is the equilibrium position. So amplitude is the term that denotes the maximum displacement from the equilibrium position. For example, the displacement of the string wave from its equilibrium position is the amplitude of the string wave.

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Answer:

The hammer must be moving at a speed of approximately 4.082 meters per second.

Explanation:

According to the statement and based on Principle of Energy Conservation, change in gravitational potential energy experimented by the metal piece (\(U_{g,o}\)), in joules, must be equal to 18.8 percent of the translational kinetic energy of the hammer (\(K_{h}\)), in joules.

\(U_{g, o} = 0.188\cdot K_{h}\) (1)

By definitions of gravitational potential and translational kinetic energies, we expand (1):

\(m_{o}\cdot g\cdot h = 0.188\cdot \left(\frac{1}{2}\cdot m_{h}\cdot v^{2}\right)\) (2)

Where:

\(m_{o}\) - Mass of the metal piece, in kilograms.

\(g\) - Gravitational acceleration, in meters per square second.

\(h\) - Distance travelled by the metal piece, in meters.

\(m_{h}\) - Mass of the hammer, in kilograms.

\(v\) - Initial speed of the hammer, in meters per second.

If we know that \(m_{o} = 0.408\,kg\), \(g = 9.807\,\frac{m}{s^{2}}\), \(h = 4.23\,m\) and \(m_{h} = 10.8\,kg\), then the initial speed of the hammer is:

\(m_{o}\cdot g\cdot h = 0.188\cdot \left(\frac{1}{2}\cdot m_{h}\cdot v^{2}\right)\)

\(10.638\cdot m_{o}\cdot g \cdot h = m_{h}\cdot v^{2}\)

\(v = 3.261\cdot \sqrt{\frac {m_{o}\cdot g \cdot h}{m_{h}}}\)

\(v = 3.261\cdot \sqrt{\frac{(0.408\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (4.23\,m)}{10.8\,kg} }\)

\(v \approx 4.082\,\frac{m}{s}\)

The hammer must be moving at a speed of approximately 4.082 meters per second.

Answer:

B - Person A's chair rolls backwards.

Explanation:

This can be seen simply through the Conservation of Momentum. When the ball is thrown to be, the ball's momentum(+m) is transfererd to B, so B's chair moves forward(think about it - it makes sense, doesn't it?), meaning A's chair moves backwards.

So, B.

EXTRA TIP: Try drawing a diagram to help you!  

The process of cellular respiration releases energy because the energy that is released when the bonds are formed in CO₂ and water is equal to the energy required to break the bonds of sugar and oxygen. So, option A.

Through a sequence of chemical processes called cellular respiration, glucose is broken down to create ATP, which may then be used as an energy source for a variety of bodily functions. The citric acid cycle, oxidative phosphorylation, and glycolysis are the three primary phases of cellular respiration.

Carbon dioxide and water are created during cellular respiration when glucose is broken down in the presence of oxygen. The energy-carrying molecule ATP (adenosine triphosphate) absorbs the energy generated during the process.

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