If is an oriented surface with boundary , and if is a vector field on , can you compute by using stokes' theorem to replace it with the line integral of some other vector field along ?

The atomic number for an element whose mass number is 92, which contains 52 neutrons per atom is: 40

The formulas and procedures we will use to solve this problem are:

Information about the problem:

Applying the number of protons formula  we get:

number of protons = mass number - number of neutrons

number of protons = 92 - 52

number of protons = 40

Applying the atomic number formula  we get:

atomic number =number of protons

atomic number = 40

The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.

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Students and scientists construct scale models of natural phenomena to better observe patterns and relationships.

What is natural phenomena?

Things that happen naturally—phenomena—occur or show up without human intervention. Gravity, tides, moons, planets, volcanic lightning, starling swarms, ant armies, sandstorms, biological processes and oscillation, among countless more events, are examples of natural phenomena.

Scientists and students  use models to help them visualize their current understanding of a system in the condition that it is in right now.

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The period of pendulum is still the same at 3.75 seconds.

We need to know about pendulum experiment to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by

g = 4π² . L / T²

where g is gravitational acceleration, L is the length of the string and T is the period.

From the question above, we know that:

L = 3.5 m

m1 = 0.3 kg

T1 = 3.75 s

m2 = 2m1

Find the period of pendulum

g = 4π² . L / T²

T² = 4π² . L / g

T = √(4π² . L / g)

The period of a pendulum does not depend on the mass of the object, hence the period is still the same at 3.75 seconds.

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32 of those natural numbers are greater than 65.

Natural numbers are those in mathematics that are utilized for counting and ordering. Cardinal numbers are those used for counting, and ordinal numbers are those used for ordering.

Two digit natural numbers range from 10 to 99.

Since there are replacement, each number formed from 10 to 99 is valid in this exercise.

Of those, 99-67 = 32 are greater than 65. Those number are 67,68,69,...,98,99.

Therefore, when two-digit natural numbers are formed, with replacement, from the digits 0 through 9.32 of those numbers are greater than 65.

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When atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

Atoms can combine with each other through sharing of the electrons, donating the electrons etc. to make molecules.

When atoms combine by forming covalent bonds, the resulting collection of atoms is called a molecule. We can therefore say that a molecule is the simplest unit of a covalent compound.

Thus, when atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

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It could be observed that the number of electrons escaping the film is increased.

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Light with a frequency of 7.30 x 10¹⁴ that lies in the violet region of the visible spectrum has a wavelength of 412nm.

In the question, we are given the frequency of light as 7.30 x 10¹⁴hz. The formular that connects frequency and wavelength is:

                     λ = v/f

Where:

If we put in the values of f and v into the formular:

                       λ = 3x10⁸ ÷ 7.30x10¹⁴

                      λ = 4.12x10⁻⁷m

The answer is in meters because the velocity of light is measured in meters per second. To convert it to nanometers, we will multiply the answer by 10⁹, hence:

                 λ = 4.12x10⁻⁷ x 10⁹

                λ = 4.12x10² = 412nm

The wavelength of a wave is the distance between two successive troughs or crests. When we say that the wavelength of a spectrum of light is 412nm, it means that the distance between two successive crests for that spectrum of light is 412nm.

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(a) Height of diver in N is 490N pounds

(b) change is P.E is 612.5J

(c) Energy come work done against conservative force

(d) K.E. as he hits the water is 612.5J

(e) His speed as he hits the water is

4.9 m/s

It is given that

mass of diver is 50kg

height of platform is 1.25 m

(a)

As it ascends Gravitational acceleration has an effect.

So,

→ w = ma

→w = 50 x 9.8

→ w = 490N

Hence, Diver weighs 490N pounds.

(b)

P. E = mgh

P.E. = 50 x 9.8 x 1.25 = 612.5J

The Potential Energy Change is 612.5J.

(c)

Potential energy come from work done against conservative force

(d)

Before a diver hits the ground, his K. E. is equal to the potential energy that is stored in it. because as one falls, potential energy is transformed into kinetic energy.

So, K. E = 612.5J

(e)

mv2/2 = 612.5J

50 x v² = 612.5 × 2

→ 50v² = 1225

→ v² = 1225/50

→ v² = 24.5

→ v = 4.9m/s

He is moving at 4.9 m/s when he strikes the water.

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The scales readings are 1133.3 N and 566.6 N.

Weight = 1700 N

Calculating the scale reading is necessary.

We are aware that he weighs twice as much on one scale, for a total of 1700 N. These can be expressed as two concurrent equations.

W=scale1+scale2

1700=scale1+scale2...(i)

scale1=2x scale2...(ii)

Put the value from equation (II) into equation (I)

1700=2x scale2+scale2

1700=3scale2

[tex]scale2=\frac{1700}{3}[/tex]

scale2= 566.66 N

Put the value from equation (II) into equation (I)

1700= scale1+566.66

scale1= 1700-566.66

scale1= 1133.33N

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The rms velocity of the gas change is [tex]2V_{rms}[/tex].

The molecules are interacting with the container walls as well as one another as they move through it at varying speeds and directions. As a result, even at the same temperature, each particle's velocity and, consequently, kinetic energy, are constantly changing.

The value of the square root of the sum of the squares of the stacking velocity values divided by the number of values is the root-mean-square (RMS) velocity. The RMS velocity is the speed of a wave traveling along a certain ray path across subsurface strata with various interval velocities.

According to the formula

[tex]V_{rms}[/tex] = √3RT/M

T"=4T

Then, [tex]V'_{rms}[/tex]= √(3R×4T)/M

[tex]V'_{rms}[/tex]=2√(3RT/M)

[tex]V'_{rms}[/tex]=2V_rms

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The area of the dog run in square meters is 86.4 m².

The area of a given shape is the amount of space enclosed within the given shape.

The area of different shapes is calculated using different formulas.

Some formulas for calculating the area of shape area;

The given exercise area is a rectangle.

The area of the exercise area = length * breadth

Length = 27 m

breadth = 3.3 m

Area = 27 * 3.2

Area = 86.4 m²

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A group of magnetic force lines going from the north pole of a magnet to the south pole is called magnetic field line.

What Is Magnetic Force?

If we put a point charge q within the presence of both a magnitude field given by magnitude B(r) and an electric field given by a magnitude E(r), at that point the whole force on the electric charge q can be composed as the whole of the electric force and the magnetic force acting on the question .

This force is named as the Lorentz Drive. It is the combination of the electric and magnetic force on a point charge due to electromagnetic fields.

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The momentum of the ball is 18 kg.m/s.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

Momentum also can be defined by kinetic energy

KE = 1/2 . m . v²

KE = P² / 2m

where KE is kinetic energy

From the question above, we know that:

m = 3 kg

v = 6 m/s

By substituting the given parameters, we can calculate the momentum

P = m . v

P = 3 . 6

P = 18 kg.m/s

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The reverse is not possible in this case

Heat can be produced entirely from mechanical energy.

When a moving object slides across an uneven, level surface and eventually comes to a stop, all of its mechanical energy has been converted to heat.

Additionally, if a moving object were to compress a frictionless piston filled with an insulating gas, the gas would absorb the object's kinetic energy as internal energy.

By exerting force on its surroundings at the expense of its internal energy, a gas that expands adiabatically (without heat transfer) converts internal energy into mechanical energy.

That is undoubtedly the ideal (reversible) process.

Heat cannot be transformed completely into mechanical energy. This is related to the second law of thermodynamics.

And it is because while doing work some of the heat energy has to be expelled to a heat reservoir at low temperature.

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The car with wheels of 10in that are rotating at 700 rpm has a speed of 6.629 mi/h

To solve this tangential velocity problem the formula and the procedure we will use is:

v = w * r

Where:

Information about the problem:

Applying the tangential velocity formula, we get:

v = w * r

v = 700 rpm *  10 in

v = 7000 in/ min

Converting the velocity from in/min to mi/h, we have:

7000 in/min * (1 mile/ 63360 in) * (60 min / 1h) = 6.629 mi/h

In physics is the length of arc traveled in each unit of time in uniform circular motion. It is expressed in units of distance per time (m/s), (km/h).

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Answer: Maintain a work space clear of extraneous material such as books, papers, and clothes. Never change wiring with circuit plugged into power source. Never plug leads into power source unless they are connected to an established circuit. Avoid contacting circuits with wet hands or wet materials

Explanation:

The electric field in n/c strength at r = 20 cm is 200rN/C.

The area surrounding a charge or charged body where other charges (of lesser magnitude than the source charge) feel an electric force is known as the electric field.

Electric field intensities are utilized practically in electrical technology as well as being significant in many branches of science. On an atomic level, we may say that the attractive force that holds atoms together and the forces between atoms that result in chemical bonding are both caused by the electric field.

[tex]E=500r^2rN/C[/tex]

electric field at r=20cm

r=0.2m

[tex]E=5000\times0.2^2N/C[/tex]

=200rN/C

diameter = 40cm

=r=20cm

thus r=0.2m

Electric flux Ф=E.A

area [tex]A = 4\pi r^2[/tex]

[tex]=4\pi (0.2)^2[/tex]

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Passive heat absorption refers to multiple choice the cooling of solar panels used to generate electricity. using natural materials to gather and hold heat. using water to cool nuclear power plants.

The process of anything becoming totally absorbed into another substance is known as absorption. Adsorption and absorption are very independent processes that must not be confounded.

Any process by which a liquid or solid material penetrates the surface of another substance is known as chemical absorption. Intestinal absorption is the process by which the byproducts of digestion are transported from the gastrointestinal tract to the blood vessels, lymphatic system, and tissue cells.

A process known as absorption can be either chemically (reactive) or physically (non-reactive). A chemical response between the compounds being absorbed and those being absorbed is known as chemical absorption or reactive absorption.

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The displacement of the object is determined as 3.0 m.

The displacement of an object is the change in the position of the object.

displacement = Δx = xf - xi

where;

Δx = xf - xi

Δx = 8.0 m - 5.0 m

Δx = 3.0 m

Thus, the displacement of the object is determined as 3.0 m.

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The maximum velocity is v= √10gh/7

The energy that an object has due to its location in a gravitational field is known as gravitational potential energy. When an object is close to the surface of the Earth, when the gravitational acceleration can be assumed to remain constant at roughly 9.8 m/s2, gravitational potential energy is most frequently used.

For the situation of the maximum velocity of the sphere when it hits the ground, the loss in gravitational potential energy is equal to the gain in translational kinetic energy and rotational kinetic energy.

mgh = mv² x I / 2.

mgh = 0.5 mv² + 0.5 (2/5 mR²)

The no-slip condition results in:

v=Rω

mgh = 0.5 mv + 0.2 mv

⟹v= √10gh/7

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Jams, marmalades, preserves, and conserves are fruit merchandise preserved with the aid of sugar. these merchandises fluctuate in gel consistency, substances, and the way the fruit is ready. they're easy to make at home. Jams are made from crushed or ground fruit and commonly have a thick consistency due to excessive pectin content material.

Jelly is a semisolid aggregate of fruit juice and sugar that is clear and firm enough to hold its form. The fruit gives every unfold its precise flavor and color. It additionally components the liquid to dissolve the relaxation of the important elements and furnishes some or all of the pectin and acid. high best, flavorful fruits make the fine jellied merchandise.

Marmalade is a fruit hold crafted from the juice and peel of citrus end result boiled with sugar and water. it is able to be made out of lemons, limes, grapefruits, mandarins, sweet oranges, bergamots, and other citrus end results, or any aggregate thereof marmalades.

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The frequency of electromagnetic waves is 22.32 x 10⁹ Hz or 22.32 GHz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 13.44 mm = 0.01344 m

By substituting the given parameter, we can calculate the frequency of microwaves

c = λ . f

f = c / λ

f = 3 x 10⁸ / 0.01344

f = 22.32 x 10⁹ Hz

f = 22.32 GHz

Hence, the frequency of radiowaves is 22.32 x 10⁹ Hz or 22.32 GHz.

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Answer:

F = K Qa Qb / R^2

The forces are equal - the same on each sphere

Suppose the force was repulsive, for simplicity, obviously a string holding them together would have the same tension in both directions

Answer:

When an acid and a base are placed together, they react to neutralize the acid and base properties, producing a salt.

Explanation:

The brake light is a part of the motorcycle which is there only to give the feedback ( information) to the driver.

This is referred to as a type of vehicle which has only two wheels and is without pedals. it is used in the transportation of people and goods from one location to another.

This vehicle has different parts and an example is the brake light which denotes that the driver is slowing down as a result of the brake being pressed which helps to reduce sand eliminate incidences of collisions and other forms of accident.

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The following actions are minimally necessary to determine if a motion detector should be calibrated before using it to investigate the motion of an object is option C which is both of this action are required.

Motion detector is a mechanical device that have sensor and it is use to detect the movements of people or objects in a place. It is use by security organizations to detect illegal movements and the sensors send alert to the system if there is any strange thing.

Therefore, The following actions are minimally necessary to determine if a motion detector should be calibrated before using it to investigate the motion of an object is option C which is both of this action are required.

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The activity of the source in Becquerel is 333.3Bq

The number of nuclei that disintegrate or decay per unit time is known as Activity.

Given that a sample of radioactive material emits 400000 particles over a period of 20 minutes.

Activity A = dN/dt

A = 400000 / 1200

A = 333.3 particles / s

A = 333.3 Bq

Therefore,

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effort distance/resistance distance or length of ramp/height of ramp or dE/dr  is correct for calculating the ideal mechanical advantage

Theideal mechanical advantage would not have any friction. this is due to the fact that some of the effort put into the machine is lost trying to overcome friction.

ideal mechanical advantage is denoted by the sign IMA, that ignores the drawbacks of friction.

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The total time spent by the kangaroo in the air before returning to the earth is kangaroo

From the question given above, the following data were obatined:

We'll begin by obtainig the time to reach the height of 2.8 m. This is illustrated below:

h = ½gt²

2.8 = ½ × 9.8 × t²

2.8 = 4.9 × t²

Divide both side by 4.9

t² = 2.8 / 4.9

Take the square root of both side

t = √(2.8 / 4.9)

t = 0.76 s

T = 2t

T = 2 × 0.76

T = 1.52 s

Thus, the kangaroo will spend 1.52 s in the air.

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