What is the relevant similarity in the following argument?



"If a single cell, under appropriate conditions, becomes a person in the space of a few years, there can surely be no difficulty in understanding how, under appropriate conditions, a cell may, in the course of untold millions of years, give origin to the human race"

a.
The human race is composed of many humans in the same way a human is composed of many cells

b.
understanding human biology is difficult and understanding the existence of the human race is difficult

c.
both involve biological processes of great complexity taking place under “appropriate conditions” and commencing with a single cell

d.
a person starts from a single cell and an animal life starts from a single cell

Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.

Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.

To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.

The work done by the air can be calculated using the equation:

Work = Force * Distance * cos(θ)

Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.

In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:

Work = Force * Distance * 0

Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.

However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.

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a) The force of the car on the trailer is 2800 N

b) The force of the  trailer on the car is 2800 N

c) The net force of the car  1120 N

We know that the force is the product of the mass and the acceleration of the object. Now we know that all we need to obtain the force is just to multiply the given mass of the object with the acceleration of the object.

a) Now, we have to consider the question that we have here. We are to find the net force that the car is going to exert on the trailer and this is just the product of the mass of the car and its acceleration since it is connected to the trailer by a rope and we would get that as;

F= 1400-kg *  2.00 m/s2 = 2800 N

b) The force that is exerted by the car on the trailer has the same magnitude as the force that the trailer exerts on the car because this is the tension on the cable that connects then and this force is  2800 N.

c) The net force on the car would be obtained from; 560-kg *  2.00 m/s2 = 1120 N

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An electromagnet is a magnet whose magnetic field is created when electricity is flowing.

A device consisting of an iron or steel core that is magnetized by electric current in a coil that surrounds it.

Magnetic force is defined as the space surrounding a magnet in which magnetic force is exerted.

A form of energy created by charged or moving electrons or protons.

The movement of energy is called a flow. The flow of electricity through a wire can be thought of as being similar to the flow of water through a pipe. Electricity usually flows in specially protected wires, but it can also move around using many other objects.

The electromagnetic force produces two related phenomena: electricity and magnetism. They combine to generate electromagnetism. A magnetic field is created by a moving electric charge. Electric charge movement is induced by a magnetic field, resulting in an electric current.

Electric charges in motion. Charged particles in motion have both an electric field and magnetic field associated with them.

An electric current flows through a coil of wire. This produces a magnetic field in the wire. The sides of the coil that carry current at 90 degrees to the magnetic field experience a force as they interact with the magnetic field.

Explanation:

acceleration definition = change in velocity / change in time =

(630 - 581)  m/s  /  5 s = 49 / 5 = 9.8 m/s^2  was the deceleration

The amount of work done per second by the horse exerting a force of 1800 N on a wagon moving with a speed of 0.4 m/s  is 720 J/s.

Power is the work done by a body in one second.

To calculate the work done by the horse in one seconds, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of work done per second by the horse is 720 J/s.

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Complete question: A wagon is pulled at a speed of 0.40 m/s by a horse exerting 1800 Newtons of horizontal Force. how much work was done by the horse per second.

Hi there!

The horizontal component of the car's velocity (12 m/s) remains CONSTANT in the absence of air resistance.

Its vertical component of its velocity is being affected by gravity. We can use the kinematic equation:

\(v_f^2 = v_i^2 + 2ad\)

vf = final velocity (? m/s)

vi = initial velocity (0 m/s)

a = acceleration due to gravity (9.8 m/s²)

d = displacement (6m)

Plug in the given values:

\(v_f^2 = 0 + 2(9.8)(6)\\\\v_f = 10.844 m/s \text{ downward}\)

The speed is derived by using the pythagorean theorem as the above are simply the COMPONENTS of the total speed.

\(Speed = \sqrt{v_x^2 + v_y^2}\\\\s = \sqrt{12^2+10.844^2} = \boxed{16.174 m/s}\)

Answer:

A point on the edge of the wheel will travel 199.563 radians at the given time.

Explanation:

Given;

initial angular velocity of the wheel; \(\omega _i = 245 \ rev/\min = 245\ \frac{rev}{\min} \times \frac{2\pi}{1\ rev} \times \frac{1 \ \min}{60 \ s} = 25.66 \ rad/s\)

final angular velocity of the wheel;

\(\omega _f = 380 \ rev/\min = 380 \ \frac{rev}{\min} \times \frac{2\pi}{1\ rev} \times \frac{1 \ \min}{60 \ s} = 39.80 \ rad/s\)

radius of the wheel, d/2 = (30 cm ) / 2 = 15 cm = 0.15 m

time of motion, t = 6.1 s

The angular distance traveled by the edge of the wheel is calculated as;

\(\theta = (\frac{\omega_f + \omega_i}{2} )t\\\\\theta = (\frac{39.8 + 25.66}{2} )\times 6.1\\\\\theta = 199.653 \ radian\)

Therefore, a point on the edge of the wheel will travel 199.563 radians at the given time.

The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path

From the formula in the question;

B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.

The accelerating voltage used to move the ions is called Vaccelm.

The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.

The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.

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The tourist is standing one-third of the way along the bridge (option c).

Let's denote the distance from the near end of the bridge to the point where the tourist is standing as x and the total length of the bridge as L.

According to the equilibrium condition, the sum of the forces exerted on the bridge is zero.

So, the vertical forces exerted by the two concrete supports should be equal to the weight of the tourist:

F_near + F_far = 705 N

Given that the magnitude of the vertical force exerted by the near end support is 470 N, we can calculate the force exerted by the far end support:

F_far = 705 N - 470 N = 235 N

Now, we can use the moment equilibrium condition, considering moments around the near end support:

Moment = Force × Distance

For the tourist:

Moment_tourist = 705 N × x

For the far end support:

Moment_far = 235 N × L

For equilibrium, the sum of the moments should be zero:

Moment_tourist - Moment_far = 0

Substituting the moments:

705 N × x - 235 N × L = 0

Now, we can solve for x/L, which represents the fraction of the way along the bridge where the tourist is standing:

x/L = (235 N × L) / 705 N

x/L = 235/705 = 47/141 ≈ 1/3

So, the tourist is standing one-third of the way along the bridge (option c).

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Answer:

I think it's c but don't know for sure

Explanation:

mass m=1700 Kg

a = 1.20 m/s^2.

t_a= 1.50 sec

According to Newton's 2nd law the net force

\(F_{net} =ma\)

\(F_a=m(a+g)=1700(1.2+9.80)=1.87\times10^4 N\)

now,

\(F_{net} =0\\F_b= W =1700\times9.8 =1.67\times10^4 N\)

The load impedance ZL must be equal to the complex conjugate of the Thevenin impedance ZTh for maximum average power transfer. This indicates that the load impedance (or resistance) must be equal to the magnitude of the Thevenin impedance for the highest average power transfer to a fully resistive load.

How is the average amount of energy absorbed determined?

As a result, the total power used by a circuit over the course of one full cycle is the sum of the power saved and the power returned.

How do you calculate average power?

The formula for average power in mathematics is: Average power = Total energy consumed Average amount of time spent P = W t.

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Answer:

The velocity of the 0.145 kg baseball is 38.7743 m/s.

General Formulas and Concepts:
Energy

Kinetic Energy Formula: \(\displaystyle KE = \frac{1}{2}mv^2\)

Explanation:

Step 1: Define

Identify.

m = 0.145 kg

KE = 109 J

Step 2: Solve for v

Topic: AP Physics 1/C

Unit: Energy

Answer:

The direction of the field is downward, and negatively charged particles will experience an upwards force due to the field.

F = N e E     where E is the value of the field and N e the charge Q

M g = N e E      and M g is the weight of the drop

N = M g / (e E)

N = 1.1E-4 * 9.8 / (1.6E-19 * 370) = 1.1 * 9.8 / (1.6 * 370) * E15 = 1.82E13

.00011 kg is a very large drop

Q = N e = M g / E = .00011 * 9.8 / 370 = 2.91E-6 Coulombs

Check:     N = Q / e = 2.91E-6 / 1.6E-19 = 1.82E13   electrons

Answer:

the velocity of the elderly performer after catching the cannon ball is 3.4 m/s.

Explanation:

mass of the cannon ball, m₁ = 26 kg

initial velocity of the cannon ball, u₁ = 8.5 m/s

mass of the elderly performer, m₂ = 65 kg

Let the velocity of the elderly performer after catching the cannon ball = u₂

Apply the principle of conservation of linear momentum to determine the velocity of the elderly performer after catching the cannon ball.

m₁u₁ = m₂u₂

\(u_2 = \frac{m_1u_1}{m_2} \\\\u_2 = \frac{26 \times 8.5}{65} \\\\u_2 = 3.4 \ m/s\)

Therefore, the velocity of the elderly performer after catching the cannon ball is 3.4 m/s.

The acceleration due to gravity near the surface of the hypothetical planet is 3.02 m/s².

The formula for acceleration due to gravity is:

g = GM/r² Where, g = acceleration due to gravity G = universal gravitational constant M = mass of the planet r = radius of the planet

In this case, since the mass of the hypothetical planet is the same as that of Earth, we can use the mass of Earth instead of M.

Therefore, g is proportional to 1/r².

So, using the ratio of radii given (1.8), we can write:

r = 1.8 x r Earth, where r Earth is the radius of Earth.

Substituting this value of r in the formula for acceleration due to gravity, we get:

g = GM/(1.8 x r Earth)² = GM/(3.24 x rEarth²) = (1/3.24)GM/rEarth²

We know that the acceleration due to gravity on Earth (g Earth) is 9.8 m/s².

Therefore, we can calculate the acceleration due to gravity on the hypothetical planet (gh) as follows:

gh = (1/3.24) x g Earth = 3.02 m/s²

Thus, the acceleration due to gravity near the surface of the hypothetical planet is 3.02 m/s².

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We know that Formula to calculate Pressure is Pressure = Force/Area.

                                        => Force = 100000000 N

                                      => Pressure = 48000 Pascal

                                     => F = 0.0063 N

                                    => P = 500000000 Pa

               Area = 400/20000   => Area = 0.02 m²

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Answer:

Due to its centre of mass being too high and because of that it is at a high risk of toppling at the corner

The image would be 53 cm from the lens of your eye.

What is Lens?
A lens is a transmissive optical tool that uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically arranged along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or moulded into the desired shape. In contrast to a prism, which simply refracts light without focusing it, a lens can focus light to create an image. Lenses are also devices that focus or disperse waves as well as radiation other than visible light, such as explosive lenses, microwave lenses, particle lenses, and acoustic lenses.

Lenses are a common component of telescopes, binoculars, and cameras, among other imaging devices.

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Answer:

gases......is the right ans. it means elements..

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;

Take moment about the joint to determine the magnitude of the force along part BC.

120 kN x 750 mm  =  F x 1000 mm

F = ( 120 kN x 750 mm ) / ( 1000 mm )

F = 90 kN

Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.

Stress in AB = 2 times stress in BC

P/A₁  = 2F/A₂

where;

A₁ =  πd²/4  =  π(50 x 10⁻³)²/4

A₁ = 1.96 x 10⁻⁵ m²

A₂ = πd²/4  =  π(75 x 10⁻³)²/4

A₂ = 4.42 x 10⁻³ m²

P/A₁ = 2F/A₂

P = (2F x A₁) / (A₂)

P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = 798.2 N

P = 0.798 kN

P ≈ 0.8 kN

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Elasticity theory is concerned with the relationship between forces applied to an item and the subsequent deformations.

In practice, analyzing a material's elastic behavior is reduced to studying basic deformations and determining the appropriate elastic constants. Our bodily tissues are pliable. This mechanical feature is particularly significant in the lungs, skin, and arteries, because aging produces emphysema, loose skin, and arteriosclerosis. Elastic fibers are extracellular matrix fibers that resemble rubber and are responsible for tissue elasticity. Elasticity refers to an object's or material's capacity to return to its original shape after being stretched or crushed. Because of its elastic nature, a rubber regains its shape after a long stretch.

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The magnitude of the resultant force, F = 1,190.3 acting at a direction X = 13.35°.

The resultant force on the rocket is calculated thus:

The 513N thrust is resolved into vertical and horizontal components;

Horizontal component: 513N cos(32.4°) = 433.14 N

Vertical component: 513N sin(32.4°) = 274.88 N

Total forward force on the rocket = 725 N + 433.14 N = 1,158.14 N

Total force at right angles:

0 + 274.88 N = 274.88 N

The resultant force (F) is then given as follows:

F² = a² + b²

F² = (1158.14 N)² + (274.88 N)²

F = √1,416,847.27

F = 1,190.3

To find the direction:

tan X 274.88 N / 1,158.14 N

X = tan⁻¹ 0.237346089419241

X = 13.35°

Therefore, the magnitude of the resultant force, F = 1,190.3 acting at a direction X = 13.35°.

In conclusion, the resultant force is obtained by resolving the forces into vertical and horizontal components.

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Answer:

kinetic energy

Explanation:

Answer: Yes

Explanation:

Given:

The initial pressure of the gas is,

The initial temperature is,

The final pressure is,

Let the final temperature be,

We know,

Substituting the values we get,

Hence the required temperature is 752 degrees celcius.

Answer:

Boiling water is an example of a physical change and not a chemical change because the water vapor still has the same molecular structure as liquid water.

(credits to lumenlearning)

Explanation:

Answer:

boiling of water forms steam which can be further condensed to form water again, thus this change is a temporary and reversible change

Answer:

B to C

Explanation:

The object height decreases

Potential energy= mass x height x gravitational force

Which means that potential energy is directly proportional to height

Thus, a decrease in height will cause a decrease in potential energy.

ENERGY cannot be wasted, it is transformed to another form, and here this form is kinetic energy as according to the gravitational force the speed increases as the object falls downward.

And kinetic energy = 1/2 mv2

Which again means that speed is directly proportional to kinetic energy

And thus an increase in speed will cause an increase in kinetic energy.