A copper wire 225m long must experience a voltage drop of less than 2.0v when a current of 3.5 a passes through it. compute the minimum diameter of the wire in millimeters (mm) if the electrical conductivity of copper is 60.0 x106 (ohm-m)-1 . answer should be in millimetres and carried out 2 decimal places (x.xx mm)

The two key factors that affect the strength of the gravitational force between objects are their mass and the distance between them.

The factors that affect the strength of the gravitational force between objects are:
1. Mass of the objects: The strength of the gravitational force increases with the increase in mass of the objects involved.
2. Distance between the objects: The strength of the gravitational force decreases with the increase in distance between the objects.
In summary, the strength of the gravitational force between objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This relationship is described by Newton's law of universal gravitation.

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Answer:

C. The drop Height!

Explanation:

A student drops three blocks from the same height and measures the time it takes for the blocks to hit the ground. Each block has a different mass, then the independent variable in the experiment would be the drop height, therefore the correct answer is option C.

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another.

The gravity varies according to the mass and size of the body for example the force of gravity on the moon is 1/6th times the force of gravity on the earth.

As given in the problem a student drops three blocks from the same height and measures the time it takes for the blocks to hit the ground. Each block has a different mass, there is a number of variables involved in the measurement but the drop height are constant for every block that's why it is considered the independent variable.

Thus, the correct answer is option C.

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a. The angular speed of the rotating nylon line is 314.16 radians per minute.

b. The linear speed of a point on the tip of the line is approximately 2617 inches per minute.

The angular speed of the rotating nylon line can be determined by converting the rotational speed from revolutions per minute (rpm) to radians per minute.

Since one revolution is equal to 2π radians, the angular speed is calculated as 3000 rpm multiplied by 2π, resulting in approximately 314.16 radians per minute.

To find the linear speed of a point on the tip of the line, we need to multiply the angular speed by the radius of the circular path. Given that the line is 5 inches long, the radius is half of that, or 2.5 inches.

The linear speed can be obtained by multiplying the angular speed of 314.16 radians per minute by the radius of 2.5 inches, resulting in approximately 785.4 inches per minute.

Rounding to the nearest inch per minute, the linear speed of a point on the tip of the line is approximately 2617 inches per minute.

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Answer:

Approximately \(5.76 \times 10^{-18}\; {\rm J}\) (by the external force that moved the electron.)

Explanation:

Let \(q\) denote the magnitude of a charge in an electric field of magnitude \(E\). The magnitude of the electrostatic force on that charge would be:

\(F = q\, E\).

In the electric field in this question, the magnitude of the electric force on the electron would be:

\(\begin{aligned}F &= q\, E \\ &= 1.6 \times 10^{-19}\; {\rm C} \times 600\; {\rm N \cdot C^{-1}} \\ &= 9.6 \times 10^{-17} \; {\rm N}\end{aligned}\).

Moving the electron to the other plate would thus require an external force of \(9.6 \times 10^{-17}\; {\rm N}\).

This force needs to be exerted over a distance of \(6.0\; {\rm cm}\) (\(6.0 \times 10^{-2}\; {\rm m}\).) The direction of the motion is the same direction as that of the external force. Thus, the work that needs to be done would be:

\(\begin{aligned}W &= F\, s \\ &\approx 9.6 \times 10^{-17}\; {\rm N} \times 6.0 \times 10^{-2}\; {\rm m} \\ &\approx 5.76 \times 10^{-18}\; {\rm J}\end{aligned}\).

The difference between the source frequency and the observed frequency is 400 Hz.

The observed frequency or frequency of sound detected is calculated by applying Doppler effect formula;

\(f_s = f_0(\frac{v}{v - v_s} )\\\\2\times 10^6 = f_0 (\frac{1500}{1500 - 0.3} )\\\\2\times 10^6 = 1.0002 f_o\\\\f_o = \frac{2\times 10^{6}}{1.0002} \\\\f_o = 1.9996 \times 10^6 \ Hz\)

\(f_s - f_o = 2\times 10^6 \ Hz \ - \ 1.9996 \times 10^6 \ Hz = 400 \ Hz\)

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Given what we know, we can say that the most appropriate response by the nurse is to indicate that the parent should dilute the medicine in chocolate milk in order to make it more palatable.

Therefore, we can confirm that since this response is a calm and thought-out response that respects the patient and offers a viable solution, it can be considered the most appropriate statement by the nurse.

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Answer:

igneous : heat, sedimentary :erosion, gravity, weathering, metamorphic :decomposition, pressure

Explanation:

igneous rocks are from volcanic activity, sedimentary are from deposition, weathering and erosion, metamorphic formed under pressure

Radiation with a wavelength of 300nm falls in the ultraviolet region of the electromagnetic spectrum.

The electromagnetic spectrum encompasses a wide range of electromagnetic waves, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. These waves are differentiated based on their wavelengths or frequencies.

A wavelength of 300nm corresponds to a region in the electromagnetic spectrum known as ultraviolet (UV) radiation. Ultraviolet radiation has shorter wavelengths than visible light but longer wavelengths than X-rays. It is divided into three subregions: UVA (long-wave), UVB (medium-wave), and UVC (short-wave).

UV radiation is not visible to the human eye but is present in sunlight. It is known for its higher energy compared to visible light. UV radiation has various applications, such as in medicine (UV disinfection), industry (UV curing), and scientific research.

It's important to note that exposure to UV radiation can have harmful effects on living organisms, including potential damage to DNA and an increased risk of skin cancer. Therefore, protective measures such as wearing sunscreen and limiting exposure to direct sunlight are crucial.

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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 wavelength of the wave in is 16 m.

Wavelength (λ = Velocity (v) / frequency (f)

Details below:

Frequency (f) = 300 Hz

Wave speed in brass (v) of = 4700 m/s

Wavelength in brass (λ) = ?

Wavelength (λ = Velocity (v) / frequency (f)= 4700 m/s / 300 Hz = 16 m

Wavelength is a distance between repeated units of a wave pattern . In general, it has the denotation Greek letter lambda (λ).

The x axis represents length, and I represents varying quantities (eg air pressure to a sound wave or electric power or magnetic field to light), at a point in the x time function.

Wavelength λ has an inverse relationship to frequency f, the number of peaks to pass through a point in a given time. The wavelength is equal to the speed of the wave divided by the frequency of the wave. When dealing with electromagnetic radiation in a vacuum, this speed is the speed of light c, for signals (waves) in air, this is the speed of sound in air.

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option A is correct✔✔☑

Answer:

Isaac Newton did not invent gravity. Gravity is a fundamental force of nature that has always existed. Newton's contribution was to formulate the laws of motion and universal gravitation, which helped to explain the behavior of objects under the influence of gravity.

As for how people flew before the development of powered flight, they relied on a variety of methods, such as gliding, using hot air balloons, and being lifted by the wind in kites. For example, in China, people have been flying kites for more than 2,000 years. In the late 18th century, the Montgolfier brothers developed hot air balloons, which allowed humans to ascend into the air for short periods of time. And in the late 19th and early 20th centuries, pioneers of aviation such as the Wright brothers and their contemporaries developed powered aircraft, which eventually led to modern air travel.

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

The instance of contacting Overhead Electric Lines when a worker does not detect that an electricity distribution wire has collapsed on his automobile and is electrocuted while opening the car door after just a heavy storm.

Thunderstorms are characterised as having hail of least an inch in diameter and winds of 58 miles per hour or more, and the following debate can be summarised as follows:

Avoiding any job that could put you in contact with or close to overhead electrical lines is the most effective way to prevent any kind of collision.

After a severe storm, a worker opens the car door without realising that an electricity distribution wire has fallen on it and is killed as a result.

The worker touches the metal frame, which is in contact with simply an overhead electricity wire, by opening the door.

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The potential energy of the 2-kg mass relative to the ground is approximately 80 J.

A sort of energy known as potential energy is one that an object holds as a result of its location or circumstance. It is the energy that is conserved inside a system and has the capacity to be transformed into different types of energy, such as thermal or kinetic energy. Affected by variables like height, distance, and forces operating on it, an object's potential energy relies on where it is in relation to other objects or reference points.

The correct answer is a) 80 J.

The potential energy of an object is given by the formula 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 of the object above a reference level (in this case, the ground).

Using the given values, we have:

PE = (2 kg)(\(9.8 m/s^2\))(4 m)
PE = 78.4 J

Therefore, the potential energy of the 2-kg mass relative to the ground is approximately 80 J.

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Answer:

\(\huge\boxed{Radiation}\)

Explanation:

In microwave, there are waves called "microwaves" as per the name. So, The heating of food is done with the help of waves. Radiation is "the transfer of heat through waves". That is why the process of heating food in a microwave is "Radiation".

Answer:

\(\huge \boxed{\mathrm{\bold{C.} \ Radiation}}\)

Explanation:

Microwaves heat food through the form of waves.

The waves are electromagnetic waves that transfer heat through the process of radiation.

The correct answer is C. Methane gas combines with oxygen to form carbon dioxide and water.

Methane gas combines with oxygen to form carbon dioxide and water. This is a chemical reaction where the atoms of the reactants (methane and oxygen) are rearranged to form the products (carbon dioxide and water). In the other reactions mentioned, either nuclear fusion or nuclear fission occurs, which involves changes in the nuclei of the atoms, but not a rearrangement of the atoms themselves.

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Answer:

We wouldn't have our moon and sun. The earth will be colder and darker

Explanation:

Answer:

mars will become habitabe

Explanation:

true fact and every planet will become close to sun

For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.

The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.

As Centripetal Acceleration formula is;

a = v²/r

Given, V-  velocity =  280 m/s

And we know that for weightless object,

Gravity =  centripetal acceleration

So, a =  g

given, g =9.8 m/s²

So,9.8 = 280²/r

r= 8000 m

Radius of the loop = 8 km

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Answer:

A great review helps your employees identify growth opportunities and potential areas of improvement without damaging employee-manager relations, but writing a ...

Explanation:

Answer:

\({ \boxed{ \rm{workdone = force \times distance}}}\)

It is more likely that the storm you observed, which passed over you after an hour, was a mesoscale convective system (MCS) rather than an air mass thunderstorm.

Air mass thunderstorms typically form and dissipate within the boundaries of a single air mass. They are generally short-lived and do not typically travel large distances. Therefore, it is less likely for an air mass thunderstorm to travel from a location far to the west to your current location within just an hour.

On the other hand, mesoscale convective systems are larger-scale weather systems that can cover hundreds of miles and persist for several hours or even longer. They often have organized structures, such as squall lines or clusters of thunderstorms, and can move over significant distances. It is more plausible for a mesoscale convective system to travel from a distant location to your area within the span of an hour.

Considering the time and distance covered, the fact that the storm passed over you after an hour suggests that it was likely a mesoscale convective system.

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Gravity's acceleration is 9.8 m/s², The speed of each seat is 11.63 m/s.

Define acceleration of gravity?

Acceleration due to gravity is also acceleration, but acceleration is only concerned with the force of gravity, whereas acceleration is concerned with any force.

The acceleration due to gravity on any body is the acceleration with which the earth attracts the body towards itself as a result of the earth's gravitational field. The acceleration due to gravity is the acceleration with which a body moves towards the earth due to gravity.

The gravitational force between two objects is affected by the distance between their centres of mass, so the force of gravity on an object is smaller at the equator than at the poles. Because of this effect, gravitational acceleration is about 0.18% lower at the equator than at the poles.

given data:

diameter = 7.83 m

mass = 10 kg

distance = 3.3 m

angle = 43.5°

acceleration of gravity = 9.8 m/s²

for speed we will apply here formula that is express as

speed = √(Rg/tanθ )    ......................1

put here all value in equation 1 we get

here R = diameter /2 + mass × sin43.5

R = 7.83/2 + 10(0.463)

R= 8.545 m

speed =  √(8.545(9.8)/tan(90-43.5) )

speed = 11.63 m/s

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Answer:

The bullet that is fired will spend longer  in the air, hitting the ground after the  dropped bullet.

Explanation:

Using the equation: x =  x 0  +   v t

If we neglect the effects of air resistance, the horizontal motion is a constant velocity.

The horizontal displacement = (velocity X cosθ)

So, the fired bullet has to travel horizontally before falling which takes a  longer time compared to a bullet dropped where it is, height = 1/2 gt^2

gravity, g = 9.8 m/s2.

The time spent in air for the bullet projected at angle depends on the initial velocity of the bullet and angle of projection while bullet dropped from the same height depends on the final velocity of the bullet which depends on the height from the which the bullet was

The given parameters;

The time taken for the bullet fired at angle to return to the ground level is calculated as;

\(T = \frac{2 \times usin(30)}{g} \\\\T = \frac{u}{g}\)

where;

The time taken for bullet dropped from the same height to reach the ground is calculated as;

\(v_f = v_0 + gt\\\\t = \frac{v_f - v_0}{g} \\\\t = \frac{v_f}{g}\)

where

Thus, we can conclude that the time spent in air for the bullet projected at angle depends on the initial velocity of the bullet and angle of projection while bullet dropped from the same height depends on the final velocity of the bullet which depends on the height from the which the bullet was dropped.

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Answer:

The answer is 46.0089 N of weight

Explanation:

The answer is in the question

F=mg

reverse the question, mg=F

Plug in the values of mass (4.69) and gravity (9.81)

4.69(9.81)=F

F = 46.0089 (or D)

Answer:

the pressure exerted at the base of the container is 490 N/m²

Explanation:

Given;

density of water, ρ = 1,000 kg/m³

base of the rectangular container, = 50 cm by 30 cm

height of water in the tank, h = 5 cm = 0.05 m

The pressure exerted at the base of the container is calculated as;

P = ρgh

where;

g is acceleration due to gravity = 9.8 m/s²

P = 1000 x 9.8 x 0.05

P = 490 N/m²

Therefore, the pressure exerted at the base of the container is 490 N/m²

Answer:

Explanation:

Work done on the lever ( input energy ) = force applied x input distance

= 24 N x 2m = 48 J

Work done by the lever ( output energy ) = load x output distance

= 72 N x 0.5m = 36 J

efficiency = output energy / input energy

= 36 J  / 48 J

= 3 / 4 = .75

In percentage terms efficiency = 75 % .

To determine the pressure difference between the points (2, 3) and (4, 4) for the given velocity potential

ϕ = -(3x^2y - y^3), we will follow these steps:

1. Calculate the velocity components (u, v) using the derivatives of the velocity potential ϕ with respect to x and y.
2. Calculate the kinetic energy per unit volume at both points.
3. Use Bernoulli's equation to determine the pressure difference, assuming elevation changes are negligible.

Step 1: Calculate the velocity components
u = -∂ϕ/∂x = 6xy
v = -∂ϕ/∂y = 3x^2 - 3y^2

Step 2: Calculate the kinetic energy per unit volume at both points
At point (2, 3):
u1 = 6(2)(3) = 36 ft/s
v1 = 3(2^2) - 3(3^2) = -18 ft/s
KE1 = 0.5 * (u1^2 + v1^2) = 0.5 * (36^2 + (-18)^2) = 810 ft^2/s^2

At point (4, 4):
u2 = 6(4)(4) = 96 ft/s
v2 = 3(4^2) - 3(4^2) = 0 ft/s
KE2 = 0.5 * (u2^2 + v2^2) = 0.5 * (96^2 + 0^2) = 4608 ft^2/s^2

Step 3: Use Bernoulli's equation to determine the pressure difference
ΔP = 0.5 * ρ * (KE1 - KE2) = 0.5 * (62.43 lbm/ft^3) * (810 - 4608) ft^2/s^2
ΔP = -112870.16 lbm/(ft s^2)
Convert ΔP to psi: ΔP = -112870.16 / 144 psi = -783.819 psi

The pressure difference between the points (2, 3) and (4, 4) is -783.819 psi.

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Answer:

Total momentum = 16 Kgm/s

Explanation:

Let the momentum of the two balls be A and B respectively.

Momentum A = 16 kgm/s

Momentum B = 0 kgm/s (since the ball is at rest).

Total momentum = A + B

Total momentum = 16 + 0

Total momentum = 16 Kgm/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

\( Momentum = mass * velocity \)

Total momentum of both the balls after the collision is 16 Kg.m/s

Given:

Momentum= 16 kg.m/s

To find:

Total momentum of both the balls after the collision.

What is momentum?

 Consider the momentum of the two balls be A and B respectively.

Momentum A = 16 kg.m/s

Momentum B = 0 kg.m/s (since the ball is at rest).

Total momentum = A + B

⇒ 16 + 0

Total momentum= 16 kg.m/s

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