what is the magnitude of the electric force between a proton and an electron when they are at a distance of 7.31 angstrom from each other?

In order to calculate the mass of atoms, we need to use the molar mass of zinc (Zn) and Avogadro's number. The mass of 4.87 x 10^25 atoms of Zn is approximately 5.29 kg (option a).

The correct answer is a) 5.29 kg

The molar mass of zinc (Zn) is approximately 65.38 g/mol, which is equivalent to 0.06538 kg/mol.

Avogadro's number (Nₐ) is approximately 6.022 x 10^23 atoms/mol.

To calculate the mass of 4.87 x 10^25 atoms of Zn, we can follow these steps:

Step 1: Calculate the number of moles of Zn atoms:

Number of moles = Number of atoms / Avogadro's number

Number of moles = 4.87 x 10^25 atoms / (6.022 x 10^23 atoms/mol)

Step 2: Convert moles to kilograms:

Mass in kilograms = Number of moles x Molar mass

Mass in kilograms = (4.87 x 10^25 atoms / (6.022 x 10^23 atoms/mol)) x (0.06538 kg/mol)

Now, let's calculate the mass using the given values:

a) 5.29 kg:

Number of moles = (4.87 x 10^25) / (6.022 x 10^23) ≈ 80.804

Mass in kilograms = 80.804 x 0.06538 ≈ 5.287 kg

b) 1.89 kg:

Number of moles = (4.87 x 10^25) / (6.022 x 10^23) ≈ 80.804

Mass in kilograms = 80.804 x 0.06538 ≈ 5.287 kg

c) 8.09 kg:

Number of moles = (4.87 x 10^25) / (6.022 x 10^23) ≈ 80.804

Mass in kilograms = 80.804 x 0.06538 ≈ 5.287 kg

d) 1.24 kg:

Number of moles = (4.87 x 10^25) / (6.022 x 10^23) ≈ 80.804

Mass in kilograms = 80.804 x 0.06538 ≈ 5.287 kg

e) 1.09 kg:

Number of moles = (4.87 x 10^25) / (6.022 x 10^23) ≈ 80.804

Mass in kilograms = 80.804 x 0.06538 ≈ 5.287 kg

Based on the calculations, the correct answer for the mass of 4.87 x 10^25 atoms of Zn is approximately 5.29 kg (option a).

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Using a cable with a tension of 1350 N , a tow truck pulls a car 5.00 km alone a horizontal roadway. Therefore,

(a) Cable work: 6,750,000 J horizontally.

(b) Cable work: 6,308,250 J at 35.0° above horizontal.

(c) No work by gravity.

To calculate the work done by the cable in each scenario, we need to consider the angle between the direction of the force applied and the displacement.

(a) If the cable pulls horizontally (0° above the horizontal):

In this case, the angle between the force and the displacement is 0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(0°)

Work = 1350 N * 5000 m * 1

Work = 6,750,000 J

The cable does 6,750,000 Joules of work on the car when it pulls horizontally.

(b) If the cable pulls at 35.0 degrees above the horizontal:

In this case, the angle between the force and the displacement is 35.0 degrees, so the work done can be calculated as:

Work = Force * Displacement * cos(Ф)

Work = 1350 N * 5000 m * cos(35.0°)

Work = 1350 N * 5000 m * 0.819

Work = 6,308,250 J

The cable does approximately 6,308,250 Joules of work on the car when it pulls at 35.0 degrees above the horizontal.

(c) The work done by gravity on the car is zero because gravity acts vertically downward, perpendicular to the displacement along the horizontal roadway. Therefore, the gravitational force does not contribute to the work done on the car in this scenario.

In both cases (a) and (b), the cable does the same amount of work on the tow truck as on the car since they are connected by the cable. So the work done by the cable on the tow truck would be equal to the values calculated above: 6,750,000 J in case (a) and 6,308,250 J in case (b).

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The photon energy range covers a wide span, and the highest energy photons are found in the gamma-ray portion of the electromagnetic spectrum.

Gamma rays have the highest energy among all photons, and their energy range extends to the highest values within the electromagnetic spectrum.

Gamma rays have energies typically on the order of kiloelectron volts (keV) to megaelectron volts (MeV), or even higher in certain cases.

The energy range of photons spans from radio waves (with energies in the range of microelectron volts, or μeV) to gamma rays (with energies reaching into the giga-electron volts, or GeV).

Thus, the highest energy photons can be found within the gamma-ray portion, at the higher end of the electromagnetic spectrum.

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ANSWER:

The current always choose low resistor to flow in circuit

STEP-BY-STEP EXPLANATION:

Gven:

V = 10 V

R1 = 250 Ω

R2 = 800 Ω

Apply Ohm's law:

We calculate the current in each case:

That means current always choose low resistor to flow in circuit

The energy of the photon is inversely proportional to its wavelength.

Since photons are thought of as point particles, they are said to be physically unsized and unstructured. Since they cannot be divided into smaller parts, they are regarded as elementary particles.

The wavelength of the photon and the size of the absorbing object determine how far away from the photon's line of transmission one must be to interact with or absorb it.

In general, the likelihood of contact or absorption increases with proximity to the line of propagation.

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0.08 gram mass of magnesium oxide will be formed.

Mass is an intrinsic property in the mass of a body. It was the  traditionally believed to the  be related to the quantity of matters in the  physical body, until it is  discovery of the atom and  particle in physics.

Mass is quantitative measure of inertia a fundamental quantity of all matters.

2Mg + O 2→2MgO

Molar mass of Mg =24 g

Molar mass of MgO =40 g

No. of moles of O2=6.022×10^20/6.022×10^23

=0.001 mole of O2

No. of moles of Mg=0.486/24

=0.02 moles  of Mg

As moles of O 2

​ are less than 0.01, O 2

 is limiting reagent and it is  0.002 moles of MgO is formed.

⇒0.002×40=0.08 g of MgO

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The complete nuclear equation is ⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e and the type of decay is beta decay (last option)

To obtain the complete equation, we first obtain the missing part. The missing part of the equation can be obtain as follow:

Thus, the equation becomes:

⁴²₁₉K -> ʸₓZ + ⁰₋₁e

Now, can obtain the value of x, y and Z. Details below::

for x

19 = x - 1

Collect like terms

x = 19 + 1

x = 20

For y

42 = y + 0

y = 42

For Z

ʸₓZ => ⁴²₂₀Z => ⁴²₂₀Ca

Thus, the complete equation is:

⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e

In nuclear reaction, the symbol ⁰₋₁e represents beta decay.

Therefore, we can conclude that the correct answer to the question is:

⁴²₁₉K -> ⁴²₂₀Ca + ⁰₋₁e, beta decay (last option)

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Hence, normal reaction on ball is 4.22N.

Mass,M=1kg

Angular velocity, ϖ=10rad/s

Length of rod, r=0.1m

Angle, α=30o

From the figure,

Horizontal Equilibrium forces.

Tcos30o=mϖ2r=1×102×0.1=10

T=cos30o10​=3

​20​……(1)

Vertical forces in equilibrium.

N=mg−Tsin30o=1×10−3

​20​×21​=4.22N

Hence, normal reaction on ball is 4.22N

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Answer:

once the parachute is opened, the air resistance overwhelms the downward force of gravity. The net force and the acceleration on the falling skydiver is upward. ... The skydiver thus slows down. As the speed decreases, the amount of air resistance also decreases until once more the skydiver reaches a terminal velocity.

Explanation:

As the parachute is opened the air and due to the downward force of gravity the resource is upwards hence the skydiver falls slowly.

A parachutist is one who uses a parachute when making a skydive. Once the parachute is opened the air offers some resistance and due to the downward force of gravity.

The net force and force of acceleration are on the skydiver and a, as a result, he falls slowly. As the speed gets decreased the amount of air resistance will also decrease.

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When  two identical pails of water filled to the brim. one pail contains only water, the other has a piece of wood floating in it. Wood pail has the greater weight due to Archimedes' principle.

Considering only a certain amount of content can fit in each bucket. A bucket containing heavy material will weigh more. The amount of water in the bucket will be greater than it actually is because of the ball, hence the bucket with the ball will hold less water while the bucket without the ball will hold more.

The upward buoyant force that is applied to a body submerged in a fluid, whether wholly or partially, is equal to the weight of the fluid that the body displaces, according to Archimedes' principle (sometimes spelled Archimedes' principle). The Archimedes' principle is a fundamental physical law in fluid mechanics. It was created by Syracuse's Archimedes.

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a) The relative atomic mass is 122.35

b) The Rutherford model produced the planetary model of the atom and laid the foundation for the Bohr model

c) The percentage abundance shows the most popular isotope.

We need to know that an element must be composed of the isotopes of the element. We have to know also that the isotopes of the element would all have the same atomic number but they would have different mass numbers for each of the elements that are under study.

We need to determine the average atomic mass of the element X as follows;

(121 * 0.432) + (123 * 0.531) * (129 * 0.037)

= 52.27 + 65.31 + 4.77

= 122.35

We can see that the calculation that we have made above has given the relative atomic mass of the isotope to be about 122.35.

Rutherford showed by experiment that at the core of the atom lies the nucleus around which the electrons evolve as planets round the sun hence the name planetary model. The furthered the ideas that led to the Bohr model of the atom.

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Answer:

Population 1 indicates growth while Population 2 indicates a declining population

Explanation:

Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining

From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value

While a positive change rate indicates growth, a negative change rate will indicate otherwise

Hence, we can conclude that the one with a negative rate change will indicate a declining population

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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False. While there are known long-term effects of radiation exposure, the specific effects on an individual can vary depending on factors such as the type and amount of radiation exposure, age, health status, and genetics.

Some known long-term effects of radiation exposure include an increased risk of cancer, genetic mutations, and damage to organs such as the thyroid and reproductive organs. However, the severity and timing of these effects can vary widely among individuals. Additionally, exposure to radiation can also have immediate effects such as skin burns and radiation sickness. It is important to note that the long-term effects of radiation exposure can be reduced through measures such as limiting exposure time, using protective equipment, and following proper safety protocols.
b. False

Long-term effects of radiation on an individual are not entirely predictable. While it is true that exposure to high levels of radiation can lead to an increased risk of certain health issues such as cancer and genetic mutations, the specific outcome for an individual depends on various factors. These factors include the type and amount of radiation, duration of exposure, age, and individual genetic makeup. Additionally, the latent period between radiation exposure and the onset of health issues can vary significantly, making it challenging to predict the exact long-term effects for a particular individual.

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Answer:

NE = 40.61km

Explanation:

Given the following data;

North, N = 32

East, E = 25

To resultant distance, NE

We would use Pythagoras theorem;

NE² = N² + E²

NE² = 32² + 25²

NE² = 1024 + 625

NE² = 1649

Taking the square root of both sides

NE = 40.61km

The x-component of the given vector is determined as 10.53 m.

The x-component of a vector is defined as the value of the vector or component of the vector in the x direction.

For a vector of 14.4 m long and pointing in a 133 degree direction.

The x-component of the vector is calculated as follows;

Vx = V cosθ

where;

θ = 133⁰ - 90⁰ = 43⁰

Vx = 14.4 x cos(43)

Vx = 10.53 m

Thus, the x-component of the given vector is determined as 10.53 m.

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Answer:

stationary in an electric field.

moving perpendicular to a magnetic field.

moving perpendicular to an electric field.

Explanation:

Negative charge: In physics, the term "negative charge" is defined as a phenomenon that consists of a surplus or different electrons in any field i.e magnetic or electric field.

However, the correct answer in the question above, would be:

"stationary in an electric field".

"moving perpendicular to a magnetic field".

"moving perpendicular to an electric field".

By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.

Euler's method is defined as a numerical technique which is  used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.

In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.

Step 1:

We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].

Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:

Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25

Step 2:

Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:

Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125

Thus,  by using Euler's method with two steps, the approximate value of Y(2) is 2.125.

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The complete question is

Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3

Answer:

the answer to this would be D.

Answer: Its D but it might swap to another letter so keep your eye out bud pass this test good luck

Explanation:

If you disconnect a circuit from its positive terminal, the electrons stop flowing, and the current stops. The power source would no longer provide a flow of electrons.

The flow of electrons and current ceases if the positive terminal of a circuit is cut off. The flow of electrons would stop coming from the power source. It is safer for you if the negative is eliminated first, which is why they advise doing so. In all contemporary automobiles, the negative cable is fastened to the chassis. Therefore, if you use a wrench to loosen the negative post and the wrench impacts the chassis, nothing happens.

After removing the negative cable, you can proceed with the positive without any concerns. Because the battery is already disconnected, nothing happens if the wrench strikes the chassis once more.

A large spark, and possibly more, will occur if you remove the positive first and then touch the chassis with your wrench. Since there is currently no fuse in the system, a wrench handle can draw a significant amount of electricity. The sparks could be hot enough to throw molten metal fragments, possibly even weld the wrench to the automobile, and cause a dead short to kill the battery. As a result, doing the negative first is significantly safer. However, if you took the positive first without the wrench striking and there were no sparks, everything was OK.

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Answer:

true true false true false

Answer:

1)true

2)true

3)false

4)false

5)true

The capacitance of an air-filled capacitors does not change is if electric field in between plates is made weaker by discharging the plates:

The external unit's malfunctioning due to a defective capacitor impedes the cooling procedure as a whole. Second, the system must work harder to complete its task due to poor voltage distribution to outer unit components. A defective capacitor frequently causes harm to additional components.

In a simple parallel-plate capacitor, applying a voltage between 2 conducting plates creates an equal electric field between both the plates. The electrical field intensity in a capacitor is inversely related to the distance between the plates but directly proportional to the applied voltage.

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Answer: 4.214 N

Explanation: Given Mass = .43kg

Weight  = mxa ...........(On earth a= 9.8 m/s2)

so .43X 9.8 = 4.214 N

as SI unit of weight if N

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Answer:

the answer is A

Explanation:

This means that a system always has the same amount of energy

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside