a cube that measures 2 cm on each side has a surface area to volume ratio of

Biometrics can change an entire sport because if one athlete finds a more efficient movement, other athletes will adopt it. Hence, option (D) is correct.

The measuring and statistical examination of an individual's distinctive physical and behavioural traits is known as biometrics. The technology is mostly used for access control, identification, and for locating people who are being watched.

The fundamental tenet of biometric authentication is that each individual may be precisely identified based on inherent physical or behavioral characteristics. The Greek words bio, which means life, and metric, which means to measure, are combined to form the phrase "biometrics."

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Your question is incomplete but most probably the options of the question was:

A. Biometrics requires creating a lot of data and other information.

B. Rules and regulations in sports are generally dependent on biometrics.

C. Information about biometrics is regularly published in sports publications.

D. If one athlete finds a more efficient movement, other athletes will adopt it.

The combined effect (the sum) of all pushing and pulling forces that are really operating on an object is known as the net force. if there are unequal amounts of forces pulling and pushing on an object.

According to Newton's second rule of motion, if an object's acceleration is constant, its force on a particle will be directly proportional to its mass.

When an item is at rest, the net force acting on it is equal to zero. the overall force exerted on a thing.

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The angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]

Yes, angular momentum affects the motion of an object. Angular momentum is a measure of an object's rotational motion and its tendency to continue rotating. It is a vector quantity that is proportional to the angular velocity of an object and the moment of inertia of the object.

According to the law of conservation of angular momentum, the total angular momentum of a closed system remains constant if no external torque acts on it.

The angular momentum of a rotating body can be calculated using the formula: L = Iω

L = (2/5)m([tex]r^{2}[/tex]) * (2π / 86,400)

L = (2/5) * (5.979 × [tex]10^{24}[/tex] kg) * (6.376 × [tex]10^{6}[/tex] [tex]m)^{2}[/tex] * (2π / 86,400 s)

L = 7.16 × [tex]10^{33}[/tex] kg [tex]m^{2}[/tex]/s

Therefore, the angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]

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The sprinter's speed as he crosses the finish line is:14.14 m/s

The time it takes for the sprinter to run the 100-meter dash is 10 seconds, minus the time it takes to reach top speed:

t = 10 s - 2.20 s = 7.80 s

The distance travelled during the time t can be calculated using the equation:

d = v0 * t + 0.5 * a * t^2

Where v0 is the initial velocity (0 m/s), a is the acceleration, and t is the time. Since we don't know the value of a, we'll solve for it using the final velocity and distance:

a = 2 * (d - v0 * t) / t^2

The final velocity can be calculated using the equation:

v = v0 + a * t

Plugging in the values, we get:

v = v0 + a * t = v0 + 2 * (100 m - v0 * 7.80 s) / 7.80 s^2

So the sprinter's speed as he crosses the finish line is:

v = sqrt(200 * 7.80 / 7.80^2) = sqrt(200) = 14.14 m/s

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Because of the change in the configuration of the wire, there is a bigger difference in resistance when connecting to the center terminals of a potentiometer.

Slider potentiometers, also known as slide-pots, are designed to vary the value of their contact resistance by a linear motion, and as such, the position of the slider contact and the output resistance have a linear connection. When we turn the knob on a potentiometer, the resistance changes linearly or logarithmically. The taper refers to how the resistance varies. Turning a knob a specific amount changes the resistance by a fixed amount regardless of the location of the knob in a linear taper potentiometer. When connected to the central terminal, the change in metal configuration also leads to the resistance difference in addition to the above stated reasons.

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The length of the horn is made shorter, so the frequency will increase.

The wavelength, which is just a fancy way of saying how far the wave goes, is determined by the length of the horn. In light of this, a short horn tube will result in a short wavelength, and vice versa.

Pitch is defined by numerous properties of sound waves, and these properties depend on one another to establish pitches in musical instruments.

The relationship between the

and wavelength in this instance.

The formula c = fλ, where c is the sound speed through the instrument, f is the frequency, and λ is the wavelength, explains how the relationship between the wavelength and its frequency works.

Assuming that the mouthpiece blower maintains a constant airflow rate, an increase in wavelength will result in a drop in frequency. On the other hand, as the horn's tube gets smaller, the frequency rises.

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If the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm then the capacitance is 1.03 × 10^-11 F and the plate area of a parallel-plate capacitor 20 mm square.

A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material, which is called a dielectric. The conductive plates are usually made of metal and the dielectric can be made of various materials such as paper, ceramic, plastic, or air.

To calculate the capacitance of a spherical capacitor with radii of 38.0 mm and 40.0 mm, we can use the formula:

C = 4πε₀ / (1/R₁ - 1/R₂)

where C is the capacitance, ε₀ is the permittivity of free space (8.85 × 10^-12 F/m), R₁ is the radius of the inner sphere (in meters), and R₂ is the radius of the outer sphere (in meters).

Converting the radii to meters, we have R₁ = 0.038 m and R₂ = 0.04 m. Plugging in these values, we get:

C = 4πε₀ / (1/0.038 - 1/0.04)

= 1.03 × 10^-11 F

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The speed of the roller coaster at the top of the next slope which is at a distance of 45 m above the ground is 19.18 m/s

The roller coaster distance from the ground at starting point = 30 m

The speed of the roller coaster at starting point = 25 m/s

The distance of the roller coaster from the ground in the next slope = 45 m

The speed of the roller coaster at the top of the next slope can be found using the conservation of energy

                  K₁ + U₁ = K₂ + U₂

            1/2mu² + mgh₁ = 1/2mv² + mgh₂

                1/2u² + gh₁ = 1/2v² + gh₂

where u is the initial velocity

           v is the final velocity

Let's substitute the known values in the above equation, we get

                1/2 x 25² + 9.8 x 30 = 1/2v² + 9.8 x 45

                             312.5 + 294 =  1/2v² + 441      

                                       606.5 = 1/2v² + 441

                                        165.5 = 1/2v²

                                              v² = 165.5 x 2

                                              v² = 331

                                              v  = √331  

                                              v  = 18.19 m/s

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An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.

In physics, work is a measure of the energy transfer that happens when an item is pushed across a length by an external force, at least a portion of which is supplied inside the direction of displacement. Work may be calculated if the forces are constant by multiplied the path's total length by the components of the force operating along the path.

The work done when the force is applied at an angle to the displacement is W = fd cos. Work on a person is conducted not just by moving the body in its entirety from one location to another. An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.

Therefore, the work done is zero.

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The bullet will hit 1.87 meters below the target.

Equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.

The first motion equation is v = u + at.

Second equation of motion: s = ut + 12 at2

Third equation of motion: v2 = u2 + 2as

Now for the given question,

Horizontal distance between the bullet and the target is 170 m.

The bullet's horizontal speed (u) is 275 m/s.

Time required to travel the horizontal distance  = [tex]Distance/velocity[/tex]

Time taken (t) = [tex]170/275[/tex]

t = 0.618 s

Now, in the vertical direction:

Initial velocity (u) = 0 m/s

Let the depth covered be h.

Time taken (T) = 0.618 s

Acceleration due to gravity (g) = 9.8 m/s^2

Now, using the seconds equation of motion:

[tex]h=ut+1/2 at^2\\h= 0+1/2 (9.8)(0.618)^2\\h=1.87 meters[/tex]

Hence, the bullet will hit 1.87 meters below the target.

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Even if an object's mass doubles, the centripetal force won't change. The centripetal force is not solely dependent on the object's mass, but also on its velocity and the radius of the circular route.

A centripetal force is any force that shifts the direction of motion in the direction of the center of a circular motion.

The portion of a force that is perpendicular to a velocity is the portion that generates the centripetal force. A centripetal force is a force that keeps a body moving along a curved route. The centripetal force is a constant force that constantly points in the opposite direction of the body's motion as well as in the general direction of the instantaneous center of curvature of the path.

With the exception of the Earth's rotation around the Sun, every satellite that orbits a celestial body experiences a centripetal force that is produced by their mutual gravitational pull.

The particle always travels in a direction that is perpendicular to a radial direction since it moves in a circular motion. The effort generated by the centripetal force when travelling in a circle is therefore always zero because the total of two is always equal to zero.

Formula: centripetal force = [tex]mass \times velocity^2 / radius[/tex]

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The provided statement declares that the amount of coal will only last 200 days.

It mostly consists of carbon and compounds, which may release energy through combustion (burning). The most common oil and coal in the US is coal, which is also the world's greatest energy source for producing power.

Coal is measured in pounds, and one pound is equivalent to one pound. When there are many pounds, the measurement is made in pounds.

Now ,

Total amount of coal = 200 lb

Volume of coal used per day = 1 lb

Therefore,

The required number of day the coal will last = ( total volume of coal )÷ ( Volume of coal uses each day )

= 200lbs ÷ 1

=200

The provided volume of coal will thus last for 200 days.

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The kinetic energy of the simple pendulum at point B is 50 J

The kinetic energy of a body is the energy possessed by the body by virtue of its motion.

Kinetic energy is the product of the mass and the velocity of the moving body.

The potential energy of a body is the energy possessed by a body by virtue of its state or position.

Considering the simple pendulum, its energy alternates between kinetic energy and potential energy from point A to C.

At point B, midway through the motion of the pendulum, its energy is a mixture of potential and kinetic energy,

The kinetic energy of the body = 1/2 * 100 J

The kinetic energy of the body = 50 J

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Speed, distance, and position are scalar quantities, while velocity, displacement, average velocity, and acceleration are vector quantities.

Speed refers to how fast an object is moving and is a scalar quantity, with only magnitude, without direction. Distance is a scalar quantity that refers to the amount of space between two points, also having only magnitude.

Position is a scalar quantity that refers to the location of an object in space and also has only magnitude.

Velocity, on the other hand, is a vector quantity, as it has both magnitude and direction. It is the rate of change of an object's position over time.

Displacement is another vector quantity, and it refers to the change in position of an object from its starting point.

Average velocity is a vector quantity that is the average of all velocity changes during a certain time interval.

Acceleration is also a vector quantity and refers to the rate of change of velocity. It measures how quickly the velocity of an object changes, and like velocity, it has both magnitude and direction.

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The discovery of magnetically aligned particles inside of magma allowed geologist to discover plate tectonics.

What is the impact of magnetically-aligned particles inside of magma?

The discovery of magnetically aligned particles inside of magma, also known as magnetic minerals, led to the realization that the Earth's magnetic field has reversed itself many times in the past.

This, in turn, led to the development of paleomagnetism, the study of the Earth's ancient magnetic field. This discipline allowed geologists to determine the latitude of rocks at the time they were formed and to reconstruct the movements of tectonic plates, leading to the most important discovery in geology known as plate tectonics.

Plate tectonics revolutionized our understanding of the Earth's structure and how it has evolved over time.

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At a constant temperature, the gas must undergo 5500 J worth of work to be compressed to just one-third of its initial volume.

Temperature is a measurement of the total power of the movements of the molecules in a substance, whereas heat is the energy needed of those motions.

The degree of heat in a substance is its temperature. By figuring out the average kinetic energy contained in either a material's molecules, it is measured using a thermometers, a tube of a material that is temperature-sensitive, such as mercury. The energy produced by the rate at which molecules inside a solid, liquid, and gas is known as kinetic energy.

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The number of protons in the rod will not change as a result of bringing it in contact with an electroscope.

Protons are positively charged particles and are held tightly within the nucleus of an atom. They cannot be gained or lost through contact with an electroscope or any other external object. When a negatively charged rod is brought into contact with an electroscope, electrons are transferred from the rod to the electroscope, causing the electroscope to become negatively charged. This transfer of electrons changes the charge distribution of the rod and the electroscope, but it does not change the number of protons in the rod.

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Tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².

In physics, tension is the pulling force transmitted axially by the means of a string or a rope.

The tension T in the horizontal drawbar is given by the equation:

T = (m_truck * a + m_trailer * a) / 2, where m_truck and m_trailer are the masses of the truck and trailer, respectively, and a is their acceleration.

F_net = F_tractive - F_friction = m_total * a, where m_total is the total mass of the rig (m_truck + m_trailer).

m_total = 30 kg

a = F_tractive / m_total = 20 kN / 30 kg = 0.00067 m/s²

T = (10 kg * 0.00067 m/s² + 20 kg * 0.00067 m/s²) / 2 = 13.4 kg * m/s² = 13.4 N

So, the tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².

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Using velocity and acceleration, a. To determine the location of the car when its velocity is zero, we must identify the roots (time instances) of the velocity equation, which is the first derivative of the position equation.

The velocity equation is as follows: [tex]v(t) = (9.60m/s^3) t - (0.600m/s^7)t^7.[/tex]

To find the roots of this equation, we can use numerical techniques like Newton-Raphson or bisection. The velocity equation can also be seen to be a seventh-degree polynomial with up to seven roots. By setting the velocity equation to zero and calculating the root, we can apply a numerical solution or perform a hand calculation to obtain the first root (i.e., the first time the car has zero velocity).

b. The formula for the acceleration equation, which is the second derivative of the position equation, is: [tex]a(t) = (9.60m/s^2) - (6.00m/s^6)[/tex][tex]t^6[/tex]

c. and d. To discover the acceleration at the second time occurrence when the car has zero velocity, find the second root by repeating step a and using the acceleration equation to find the acceleration.

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The ability to put things into perspective is what enables more mature kids and adults to understand that someone looking at a situation from with a different angle can see it different than they do.

The ability to comprehend how someone else sees a situation and how that person is reacting to it emotionally and cognitively Gehlbach, 2004 (2) In other terms, it's the ability to put oneself in another person's shoes and comprehend their viewpoint, past experiences, and beliefs.

According to the Cambridge Dictionary, perspective is "a distinctive perspective or a wise and acceptable method of thinking about a topic or problem." In American English, "perspective" is defined as "a distinct viewpoint."

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Therefore, the number of electrons flowing in 1 second when

1A is [tex]6.25 * 10^{18}[/tex]

current flows through a wire is Current I = 1A

Time t = 1s

charge on 1 electron, Q = [tex]1.6 * 10^{-19} C[/tex]

Let the number of electron be n

we know that I = [tex]\frac{Q}{t}[/tex]

Q = n * e

on substituting the values,

1 = [tex]\frac{n * 1.6 * 10^{-19} }{1}[/tex]

n = [tex]\frac{1}{1.6* 10^{-19} }[/tex]

n = 6.25 * [tex]10^{18}[/tex]

A stream of charged particles—such as electrons or ions—moving through a conductor for electricity or into empty space is known as an electric current. The net rate of passage of electric charge through a surface or into a control volume is used to measure it. Charge carriers are the moving particles, which depending on the conductor could be any number of different types of particles. Often, electrons flowing over a wire serve as the charge carriers in electric circuits. They may be holes or electrons in semiconductors. Ions are the charge carriers in an electrolyte, while electrons and ions make up plasma, an ionized gas.

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Explanation:

The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.

The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * R

The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * RV (4 Ω resistor) = 8.0 A * 4 Ω = 32 V.

A body of a certain mass could become weightless in the following two conditions:

1. In microgravity

2. In neutral buoyancy

Cheers,

qxxi

The mass of the bowling ball is 6..8 Kg

The formula for potential energy is given by PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height above the ground. We are given that the potential energy of the bowling ball is 150 J and the height is 5.4 m. Solving for the mass, we get:

m = PE / (g × h) = 150 / (9.8 × 5.4) = 6.8 Kg.

So the mass of the bowling ball is 6.8 kg. This calculation assumes that the only force acting on the ball is gravity, and that there is no energy loss due to friction or air resistance.

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Answer:

Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.

Graphs are a useful tool for scientists to visualize and compare different measurements. Here are some examples of measurements that scientists can compare using graphs: Time-series data, Relationships between variables, Proportions, Distribution of data and Comparing groups.

Before the establishment of contemporary scientific fields, the responsibilities of "scientists" and their forerunners underwent significant change over time. The social norms, ethical principles, and epistemic virtues that have been associated with scientists—and what has been expected of them—over time have also changed. This is true of scientists of different eras as well as of the natural philosophers, mathematicians, historians, theologians, and engineers who preceded them and contributed to the development of science. Consequently, depending on whatever aspects of contemporary science are seen to be crucial, a wide range of historical personalities might be classified as early scientists.

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Increase the frequency of the incident light. The photoelectric effect occurs when light of a sufficient frequency strikes a metal and frees electrons from the metal's surface. The energy of the incident photons must be greater than the energy required to remove the electrons, known as the work function. Thus, increasing the frequency of the incident light will result in higher energy photons, increasing the likelihood of electron ejection in the photoelectric effect.

The kinetic energy of the photoelectrons that are released will grow as the light amplitude increases, according to the wave model of light, yet the measured current will increase as the frequency increases. In contrast to expectations, studies revealed that raising the light's frequency and amplitude raised the current and the photoelectrons' kinetic energy, respectively.

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The polar bear is travelling in the direction of the south at a speed of 21.24 km/h, making an angle of 279.4° below the negative x axis.

The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is similar to a speed and direction of motion specification (e.g., 60 km/hr to the north).

Here,

a. To find the magnitude of the velocity vector, we can use the Pythagorean theorem:

v = √(u_x² + u_y²)

= √((-15.5² + (-14.5)²)

= √(242.25 + 210.25)

= √(452.5)

= 21.24 km/h

b. To find the direction of the velocity vector, we can use the arctangent function:

θ = atan(2(u_y, u_x))

= atan(2(-14.5, -15.5))

= -80.6°

Note that atan2 returns the angle in the range (-π, π), so we add 360° to make the angle measure positive:

θ = 360° - 80.6°

= 279.4° below the negative x axis.

The polar bear is moving in south direction with speed of 21.24 km/h making an angle of 279.4° below the negative x axis.

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Complete question:

The velocity of a polar bear is given by vector u = ( -15.5 km/h, -14.5 km/h).

a. how fast is the polar bear moving in km/h ? (v = ???)

b. in what direction is the polar bear moving? express your answer as an angle measured in degrees below the negative x axis.

We can find the new potential when the distance is halved.

As per the data given in the question,

We have,

The electric potential at a distance of 2.00 m from a point charge is 400.0 V relative to infinity (where the potential is zero).

This is because the electric potential varies as the inverse square of the distance from the point charge,

So the value of the potential at half the distance will be four times greater.

V = k * q / r

where V is the potential,

k is Coulomb's constant,

q is the charge of the point, and

r is the distance from the point charge.

By substituting values,

We can find the new potential when the distance is halved.

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The pot will radiate 16 times more heat per second when hot compared to when it was at room temperature.

The amount of heat per second radiated by a pot depends on its temperature and surface area, as well as the emissivity of its surface. The formula for the heat radiated by a black body (an idealized object that perfectly absorbs and emits radiation) is given by the Stefan-Boltzmann law:

Q = σ * A * T^4

where Q is the heat radiated, σ is the Stefan-Boltzmann constant, A is the surface area of the pot, and T is the temperature in kelvins. Doubling the temperature of the pot increases its heat radiation by a factor of 2⁴ = 16.

So, theoretically, if the pot is a black body, it will radiate 16 times more heat per second when hot compared to when it was at room temperature.

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The expression for time it would take the rock from the moon to hit the ground, [tex]t_m = \sqrt{6} t_e[/tex].

The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.

The Newton's second law says,

[tex]s = ut +\dfrac{1}{2}a t ^2[/tex]

This means acceleration is inversely proportional to square of time.

[tex]\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}[/tex]

where, [tex]a_e[/tex], [tex]a_m[/tex] is the acceleration at earth and moon respectively.

and, [tex]t_e[/tex], [tex]t_m[/tex] is the time at earth and moon respectively.

[tex]a_m = \dfrac{1}{6} a_e[/tex]

Hence, [tex]t_m = \sqrt{6} t_e[/tex].

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