Compare the electric force experienced by an electron in the hydrogen atom to the gravitational force experienced by the electron

Hence, the probability is 1 favorable outcome out of 24 possible outcomes, which simplifies to 1/24.

The probability that the spinner will stop on red and the cube will show a two, we need to consider the number of favorable outcomes and the total number of possible outcomes.

Let's assume the spinner has four equally likely outcomes: red, blue, green, and yellow. And the standard number cube has six equally likely outcomes: 1, 2, 3, 4, 5, and 6.

The favorable outcome in this case is the spinner stopping on red (1 outcome) and the cube showing a two (1 outcome).

The total number of possible outcomes is 4 (for the spinner) multiplied by 6 (for the cube), which equals 24.

Hence, the probability is 1 favorable outcome out of 24 possible outcomes, which simplifies to 1/24.

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MAIN ANSWER in 30 WORDS:
A) α = 8.8 rad/s^2; B) at = 118.8 m/s^2; C) ac = 413.52 m/s^2.

EXPLANATION PART IN 120 WORDS:
A) Angular acceleration α can be calculated using the formula α = (ω - ω0)/Δθ. Substituting values, we get α = (8.8 - 4.4)/5.5 = 0.8 rad/s^2.

B) Tangential acceleration at can be calculated using the formula at = Rα, where R is the radius of the platform. Substituting values, we get at = 34 × 0.8 = 27.2 m/s^2.

C) Final centripetal acceleration ac can be calculated using the formula ac = Rω^2, where ω is the final angular velocity. Substituting values, we get ac = 34 × 8.8^2 = 413.52 m/s^2.

Therefore, the angular acceleration is 0.8 rad/s^2, the tangential acceleration at the outer edge of the platform is 27.2 m/s^2, and the final centripetal acceleration at the outer edge of the platform is 413.52 m/s^2.

The angular acceleration of the platform is 0.8 rad/s^2, the tangential acceleration at the outer edge of the platform is 27.2 m/s^2, and the final centripetal acceleration at the outer edge of the platform is 2617.6 m/s^2.

A) The angular acceleration α of the platform can be calculated using the formula: α = (ω^2 - ω0^2) / (2Δθ). Plugging in the values, we get α = (8.8^2 - 4.4^2) / (2 * 5.5) = 44/11 rad/s².

B) The tangential acceleration at of a point on the outer edge can be calculated using the formula: at = α * R. Converting R to meters, we get R = 0.34 m. Thus, at = (44/11) * 0.34 = 1.36 m/s².

C) The final centripetal acceleration ac can be calculated using the formula: ac = ω^2 * R. Plugging in the values, we get ac = 8.8^2 * 0.34 = 26.424 m/s².

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The kWh used per week by the electric range whose voltage and current is 240 V and 11 A respectively is 18.48 kWh.

A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).

To calculate the kWh per week of the electric range, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the kWh used per week is 18.48 kWh.

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Answer:

It is going through a phase change when it is flat.

Explanation:

During the horizontal line segments, there is no change in temperature, so kinetic energy remains constant. However, all the energy that is absorbed or released is related to changes in potential energy.

The time that is taken by the cart is given as 34.7 s.

Let us have it at the back of our minds that what we are dealing with here is the velocity and that the velocity of the object can be said to be a vector quantity. If it is a vector quantity, we would need to look at the magnitude and the direction of the quantity.

We can now see that the velocity of the object can be defined as the change in the velocity of the object with time. We can now write;

V = Δx/t

V = velocity

Δx = change in the displacement

t = time

Then;

-0.418 = 5.40 - 19.9/t

t = -14.5/-0.418

t = 34.7 s

In the movement of the cart from one point on the plane to the other, the time that has been taken by the cart is about 34.7 s.

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Answer:

2 seconds

Explanation:

Answer:

d- Earth revolves around the sun.

Explanation:

Earth rotation can be defined as the amount of time taken by planet earth to complete its spinning movement on its axis.

This ultimately implies that, the rotation of earth refers to the time taken by earth to rotate once on its axis. One spinning movement of the earth on its axis takes approximately 24 hours to complete with respect to the sun.

On the other hand, earth revolution can be defined as a complete trip along a path around the sun. This path is known as an orbit and it typically takes the Earth 365¼ days to complete it's journey around the Sun.

When a constellation (stars) changes its position in the sky, at the same time of the evening and over a period of several weeks; it ultimately implies or is an evidence that Earth revolves around the sun.

The intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).

Understanding the intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).

The understanding of Ni-Fe (oxy)hydroxides' electro catalytic activity and stability is hampered by the lack of efficient methods for measuring the Fe active site number and the intrinsic turnover frequency per active Fe site (TOFFe), despite the fact that Fe has been proposed as one of the most active noble-metal-free electro catalysts for the alkaline oxygen evolution reaction (OER).

The direct in situ quantification of the electrochemically active Fe site number and associated TOFFe values of Ni-Fe (oxy)hydroxides using previously unstudied Fe2+/3+ redox electrochemistry in alkaline solutions is described in this article.

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The statement "the physician skips hand-washing because she’s in a hurry and just washed her hands in the previous patient visit" is false.

The physician should not skip hand-washing, even if they have recently washed their hands in the previous patient visit. Hand-washing is a critical practice to prevent the spread of infections and ensure patient safety.

Each patient interaction presents a new opportunity for potential cross-contamination and the transmission of pathogens. Even if the physician recently washed their hands, they should still follow proper hand hygiene protocols, including washing hands with soap and water or using hand sanitizer, before and after each patient encounter.

Hand-washing should be performed regardless of time constraints or previous hand hygiene practices.

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According to the research, the correct answer is that the conditions that affect hurricanes causing them to change direction are higher latitudes.

It is a tropical cyclone that generates strong winds whose storms circulate around a center of low pressure.

In this sense, this phenomenon usually has its beginning in the tropics around the area of low pressure whose direction is influenced by the Coriolis effect that diverts the trajectory of objects that move over the Earth's surface and the higher latitudes that reverse the steering winds.

Therefore, we can conclude that higher latitudes and the Coriolis effect are conditions that affect the path of hurricanes by changing their direction.

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A decimal point is a point or a dot that is used to distinguish between a whole number and its fractional component.

It also goes by the name Decimal Mark. The decimal point's symbol is (.). Decimals are also used frequently in everyday life. The symbol of decimal point is (.).

The place value of a decimal number is recognised according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths. For example, 0.8 can be written as 8/10 as a fraction.

Note that an overview was given as the information is incomplete.

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Answer: 0.01143 m/s

Explanation:

use conservation of momentum, since momentum is always conserved. assume left of = is initial, to the right if final

m1v1=m1v1 + m2v2

(40)(20)=(40)(5) + (350)(v2)

solve for v2 (denoting velocity of bear)

yes, the bear will be moving, at a speed of 0.011428571 (round how you like)

Answer:

A

Explanation:

Molecules is made up from and atom is made up with three tiny elements: protons, neutrons, and electron.

Statement A correctly describes what atoms and molecules are made of.  Molecules are made of atoms, and atoms are made of protons, neutrons, and electrons.

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus, proton and the neutron is existing. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

Molecules are made of atoms, and atoms are made of protons, neutrons, and electrons.

Hence, statement A correctly describes what atoms and molecules are made of.  

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Answer:

CODIS should be the answer

The distance between the central axis and the first dark fringe in the given single-slit diffraction experiment is approximately 4221.75 mm.

The distance between the central axis and the first dark fringe in a single-slit diffraction experiment can be determined using the formula:

y = (λL) / w

where:

y is the distance between the central axis and the first dark fringe,

λ is the wavelength of light,

L is the distance between the slit and the screen,

and w is the width of the slit.

λ = 573 nm

λ= 573 × 10⁻³m

w = 0.312 mm

w = 0.312 × 10⁻³ m

L = 2.30 m

Now, let's calculate the distance between the central axis and the first dark fringe (y):

y = (λL) / w

y = (573 × 10⁻⁹ m) × (2.30 m) / (0.312 × 10⁻³ m)

y  = 4.22175 m

We need to convert this result to millimeters (mm) since the question asks for the answer in that unit:

y = 4.22175 m × 1000 mm/m

y  ≈ 4221.75 mm

Therefore, the distance between the central axis and the first dark fringe is approximately 4221.75 mm.

In conclusion, the distance between the central axis and the first dark fringe in the given single-slit diffraction experiment is approximately 4221.75 mm.

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Hi there!

Assuming the track is frictionless:

\(E_i = E_f\\\\PE = KE\\\\mgh = \frac{1}{2}mv^2\)

Cancel out the masses and rearrange to solve for velocity:

\(gh = \frac{1}{2}v^{2}\\\\v = \sqrt{2gh}\\\\\)

Plug in the given height and let g = 9.8 m/s²:

\(v = \sqrt{2(9.8)(57)} = \boxed{33.42 m/s}\)

Answer:

1. If the knot is in equilibrium - no net force acts on the knot.

2. F1x = 0                 F1y = -F1

   F2x = -F2 cos θ1        F2y = F2 sin θ1

    F3x = F3 cos θ2        F3 = sin θ2

3.    Fx net = 0        

       Fy net = 0          for equilibrium to occur

4. F2 cos θ1 = F3 cos θ2

   F1 = M g = 2.1 * 9.8 = 20.6 N

    F2 sin 30 + F3 sin 60 = 20.6      balancing forces in y-direction

or   .5 F2 + .866 F3 = 20.6       (use this equation below )   (I)

    F2 cos 30 = F3 cos 60       as stated above

    .866 F2 = .5 F3        or F3 = 1.732 F2        substituting for θ

    .5 F2 + .866 (1.732 F2) = 20.6       using (I) above

   2.0 F2 = 20.6       and

     F2 = 10.3 N

    F3 = 1.732 * 10.3 = 17.8 N

Check:

    10.3 * .866 = .5 * 17.8        using values above

     8.92 = 8.9       forces balance

Also    .5 * 10.3 + .866 (1.732 * 10.3) = 20.6

A total differential is an equation in which all the differentials can be integrated independently of each other. To verify that the given expressions are total differentials, we must check if they meet the conditions of being an exact differential function.The given expression is not an exact differential function.

According to the exact differential function, an expression dQ should be equal to the sum of two partial derivatives of the same function. i.e, dQ= dP+ dRA primitive function of an expression is obtained by integrating the given expression partially. Let's solve the given expressions, one by one:

1. Expression : (x² + 2xy-y²)dx + (x²-2xy - y²)dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = x² + 2xy - y²  ∂Q/∂y = x² - 2xy - y².

On verifying, we get:∂P/∂x = ∂Q/∂y.

Hence, the given expression is an exact differential function.

To find the primitive function, we need to integrate any one of the partial derivatives with respect to x and other with respect to y.

∴ P(x,y) = ∫(x² + 2xy - y²)dx = x³/3 + x²y - xy² + C1 and ∴ Q(x,y) = ∫(x² - 2xy - y²)dy = x²y - y³/3 + C2.

Therefore, the primitive function of the expression is: P(x,y) = Q(x,y) = x³/3 + x²y - xy² - y³/3 + C2.

Expression : (2xcosy - y² sinx) dx + (2ycosx - x² siny) dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = 2cosy  ∂Q/∂y = 2ycosx.

On verifying, we get:∂P/∂x ≠ ∂Q/∂y .

Hence, the given expression is not an exact differential function.

Therefore, there does not exist a primitive function for the given expression.

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Answer:

86 mph

Explanation:

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Answer:

0.05 kgm/s

Explanation:

The mass of the given will be 20kg.

By using formula,

force = mass x acceleration

mass = force / acceleration

mass = 400 N / 20m/s²

mass = 20 Kg

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

Any process where the velocity changes is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because the velocity is both a speed and a direction.

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The 0.64 amp current flow  is in a resistor of 227 Ω if the potential difference across the resistor is 145 V.

The sum of the currents flowing through each branch represents the total current in the circuit. By dividing the total current for the circuit by the cell's potential difference, the total resistance for this circuit may be computed.

Using the equation V = E d, determine the potential difference between the two locations. Subtract the current flow rate from the resistance that exists in the circuit. The process of multiplication results in the potential difference, which is measured in volts. This formula, V = I R, is known as Ohm's Law.

The current times the resistance results in the potential difference, also known as voltage. One Joule of energy is produced when one Coulomb of charge moves between two points in a circuit with a potential difference of one Volt.

From ohm's law;

V = IR

Substitute values,

145 = I × 227

I = 0.64 Amp

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Answer:

At the point of dropping the object, by Newton's first law due to gravitational force \(F_g\) = m × g, accelerates

By Newton's Second law the object reaches impacts on the air with the gravitational force resulting in changing momentum of m×(Final Velocity - Initial Velocity)

As the velocity increases, the rate of change of momentum becomes equivalent to the gravitational force and by Newton's third law, the action action and reaction are equal and opposite hence they cancel each other out

The body then moves at a constant uniform motion down according to Newton's first law

Explanation:

At the point the object of mass, m, is dropped from the height of the tower, the only force acting on the object is the gravitational force such that the object has an acceleration which is the acceleration due to gravity, g, and the gravitational force is therefore = m × g

As the speed of the object increases while the object is falling with the gravitational acceleration the rate at which the object cuts through layers of air which (by Newton's first law of motion, are at rest ) has some buoyancy effect also increases therefore, the object is constantly increasingly changing the momentum of the air which by Newton's second law results, at an high enough velocity, and by Newton's third law, in a force equal to the applied gravitational force

Therefore, the force of the air drag becomes equal to the gravitational force, cancelling each other out and the object then moves according to Newton;s first law, in uniform motion of a constant speed while still falling down.

This question involves the concepts of centripetal force, range of projectile and projectile motion.

The magnitude of centripetal force is "2812.8 N".

First, we will find the velocity of the ball by using the formula of the range of the projectile.

\(R = \frac{v^2Sin2\theta}{g}\)

where,

R = range of projectile = 86.75 m

v = speed = ?

θ = launch angle = 47.9°

g = acceleration due to gravity = 9.81 m/s²

Therefore,

\(86.75\ m = \frac{(v)^2Sin(2)(47.9^o)}{9.81\ m/s^2}\\\\v = \sqrt{\frac{(86.75\ m)(9.81\ m/s^2)}{Sin95.8^o}}\)

v = 29.25 m/s

Now, we will use the formula to find out the centripetal force:

\(F_c = \frac{mv^2}{r}\)

where,

\(F_c\) = Centripetal Force = ?

m = mass of the ball = 7.3 kg

v = speed = 29.25 m/s

r = radius = 2.22 m

Therefore,

\(F_c = \frac{(7.3\ kg)(29.25\ m/s)^2}{2.22\ m}\)

Fc = 2812.8 N = 2.812 KN

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a) The power available at the driving wheels is determined by multiplying the power produced by the engine (90 kW) by the overall efficiency of the transmission (90%), resulting in approximately 81 kW.

b) The maximum possible acceleration at this speed is calculated using Newton's second law of motion. By subtracting the resistive force (1856 N) from the tractive force and dividing by the car's mass (1200 kg), we find an acceleration of approximately 4.16 m/s². This indicates the car's ability to increase its speed at this particular velocity.

a) To calculate the power available at the driving wheels, we need to consider the overall efficiency of the transmission. The power available at the wheels is given by the equation: Power available = Power produced by the engine × Overall efficiency. Substituting the values, Power available = 90 kW × 0.9 = 81 kW.

b) To calculate the maximum possible acceleration at this speed, we can use Newton's second law of motion. The net force acting on the car is given by the equation: Net force = Tractive force - Resistive force. Rearranging the equation, we have: Tractive force = Net force + Resistive force. Using the mass of the car and the given resistive force, we can calculate the tractive force. Then, we can calculate the maximum possible acceleration using the equation: Acceleration = Tractive force / Mass. Substituting the values, we get: Acceleration = (Net force + Resistive force) / Mass = (1856 N) / (1200 kg) ≈ 4.16 m/s².

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