when illuminated with light of 700 nm, the first dark fringe produced by a single slit lies a distance of 3.2 cm from the center of the screen placed 2.5 m from the slit. how wide is the slit?

Answer:

Starting speed  Vo = 6.7 m/s

Explanation:

Given:

t = 9.0 s

S = 30 m

___________

V₀ - ?

The path is numerically equal to the area of  the figure lying under the velocity graph:

S = V₀* t / 2

Starting speed:

V₀ = 2*S / t = 2*30 / 9 ≈ 6.7 m/s

Hund's rule allows us to find that the number of combined mismatched electrons is 12

Hund's rule is which configuration has the lowest energy in a system, so this must be met

In this case the number of sublevel of the  d orbital where they fit

           # sublevels = 2 d + 1

           # sublevels = 2 2 +1

           # sublevels = 5

Each sublevel fits two electrons according to the Pauli principle, which establishes that all quantum numbers in a novel cannot be the same.

Let's distribute the electrons at each level

level        electrons

3d             ½ ½ ½

4d          ½ ½ ½ ½

5d      ½ ½ ½ ½ ½

Where there is a single electron in each sublevel according to Hund's principle

In conclusion using Hund's rule we can find that the number of combined unpacked electrons is 12

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Answer:15

Explanation: I have the same college class is based on hunds rule

The acceleration of the rock thrown with the velocity of 15 m/s and taking 20 seconds to come back is 2.97 \(m/s^2\),  and the direction of acceleration is downward.

When an item is moving, its velocity indicates how quickly its location is changing as seen from a specific point of view and as measured by a specific unit of time. When time is constant, speed and distance are directly proportional, when the distance is constant,

Given:

The velocity of the rock, v = 15 m/s,

The time taken to go and return t = 20 seconds,

Now, calculate the distance traveled by the rock,

d = v/t

d = 15/10  (Time taken to go upward is half of the total time)

d = 1.5 meters

So, calculate the acceleration by the second equation of motion,

\(s = vt + 1/2at^2\)

Substitute the values,

\(1.5 = 15*10 + 1/2 * a * 10^2\)

\(a = -2.97 \ m/s^2\)

Therefore, the acceleration of the rock thrown with the velocity of 15 m/s and taking 20 seconds to come back is 2.97 \(m/s^2\) And the direction of acceleration is downward.

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From Paris to Qatar for the world cup, two French riders traveled by bicycle. In three months, 7,000 kilometers overall.

The Fédération Internationale de Football Association (FIFA), the world's governing organization of association football, and its senior men's national teams compete in the FIFA World Cup, commonly referred to as the World Cup. With the exception of 1942 and 1946, when it was postponed due to World War II, the tournament has been conducted every four years since its inception in 1930. The current winners are France, who captured their second championship during the 2018 competition in Russia.

The structure uses a qualification round to choose the teams that advance to the tournament phase, which occurs over the previous three years. 32 teams fight for the title at sites in the host country or nations during the tournament round.

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For the 100 kg roller coaster that comes over the first hill of height 20 meters at 2 m/s, we have:

1) The total energy for the roller coaster at the initial point is 19820 J

2) The potential energy at point A is 19620 J

3) The kinetic energy at point B is 10010 J

4) The potential energy at point C is zero

5) The kinetic energy at point C is 19820 J

6) The velocity of the roller coaster at point C is 19.91 m/s

1) The total energy for the roller coaster at the initial point can be found as follows:

\( E_{t} = KE_{i} + PE_{i} \)

Where:

KE: is the kinetic energy = (1/2)mv₀²

m: is the mass of the roller coaster = 100 kg

v₀: is the initial velocity = 2 m/s

PE: is the potential energy = mgh

g: is the acceleration due to gravity = 9.81 m/s²

h: is the height = 20 m

The total energy is:

\( E_{t} = KE_{i} + PE_{i} = \frac{1}{2}mv_{0}^{2} + mgh = \frac{1}{2}*100 kg*(2 m/s)^{2} + 100 kg*9.81 m/s^{2}*20 m = 19820 J \)

Hence, the total energy for the roller coaster at the initial point is 19820 J.

2) The potential energy at point A is:

\( PE_{A} = mgh_{A} = 100 kg*9.81 m/s^{2}*20 m = 19620 J \)

Then, the potential energy at point A is 19620 J.

3) The kinetic energy at point B is the following:

\( KE_{A} + PE_{A} = KE_{B} + PE_{B} \)

\( KE_{B} = KE_{A} + PE_{A} - PE_{B} \)

Since

\( KE_{A} + PE_{A} = KE_{i} + PE_{i} \)

we have:

\( KE_{B} = KE_{i} + PE_{i} - PE_{B} =  19820 J - mgh_{B} = 19820 J - 100kg*9.81m/s^{2}*10 m = 10010 J \)

Hence, the kinetic energy at point B is 10010 J.

4) The potential energy at point C is zero because h = 0 meters.

\( PE_{C} = mgh = 100 kg*9.81 m/s^{2}*0 m = 0 J \)

5) The kinetic energy of the roller coaster at point C is:

\( KE_{i} + PE_{i} = KE_{C} + PE_{C} \)            

\( KE_{C} = KE_{i} + PE_{i} = 19820 J \)      

Therefore, the kinetic energy at point C is 19820 J.

6) The velocity of the roller coaster at point C is given by:

\( KE_{C} = \frac{1}{2}mv_{C}^{2} \)

\( v_{C} = \sqrt{\frac{2KE_{C}}{m}} = \sqrt{\frac{2*19820 J}{100 kg}} = 19.91 m/s \)

Hence, the velocity of the roller coaster at point C is 19.91 m/s.

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A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.

While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.

Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.

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Explanation:

80*24=1920 or 1,920

Just multiply

\(hopethishelpsyou\)

Answer:

jeeze... this would be easier if the numbers were switched

Explanation:

i dont have an answer for ya but put 80x24=? in ur calculator

good luck m8

The last option is correct i.e. the train stopped for 3 second.

Looking at the many choices, we can see that only the final choice is the train may be the right one.

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Answer:

The last option is correct i.e. the train stopped for 3 second.

Explanation:

Answer:

No speed is when there is a line on the horizontal axis where speed=0. Constant speed is when there is a horizontal line above the horizontal axis.

Explanation:

480.0 Newtons force is required to lift a 49-newton object with an acceleration of 9.8 m/s2/. The explaination is mentioned below:

To calculate the amount of force required to lift a 49-newton object with an acceleration of 9.8 m/s2, we need to use the formula F = ma, where F is the force required, m is the mass of the object (in this case, 49 newtons), and a is the acceleration (in this case, 9.8 m/s2).
Plugging in the values, we get:
F = 49 x 9.8
F = 480.2 Newtons
Therefore, the amount of force required to lift a 49-newton object with an acceleration of 9.8 m/s2 is 480.2 Newtons.

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The car tyre contains air initially at a pressure of 195 kPa after travelling several km the temperature of the air inside a car tyre rises from 30 to 70°C if the tyre is rigid and does not expand then the new pressure inside the tyre would be 220.74 kPa.

The total applied force per unit of area is known as the pressure.

The pressure depends both on externally applied force as well the area on which it is applied.

The mathematical expression for the pressure

Pressure = Force /Area

the pressure is expressed by the unit pascal or N /m²

By using the Charles law for gases which states that the volume of the gas remains constant then the pressure of the gas is directly proportional to the temperature.

As given in the problem the tyre is rigid and does not expand this means the volume of the tyre remains constant.

The mathematical expression for Charles's law is as follows

P₁/P₂ = T₁/T₂

First, we have to change the temperature from degree Celcius to the kelvin temperature scale

K = 273 + C

where k is the temperature in kelvin and the C is degrees of Celcius

Initially, the temperature was 30° C

T₁ = 273 + 30

T₁ = 303 K

Then after travelling the temperature of the air inside a car tyre rises from 30 to 70°C

T₂= 273+ 70

T₂ =343 K

The car tyre contains air initially at a pressure of 195 KPa

P₁ = 195 kPa

Lets us take the final pressure of the air would be P₂

By substituting the values in the formula

P₁/P₂ = T₁/T₂

195/P₂ = 303/343

P₂ = 220.74 kPa

Thus, the new pressure inside the tyre would be  220.74 kPa.

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Answer:

High pressure.

Explanation:

The symbol H indicates high pressure, while the symbol L indicates low pressure. Therefore, option C is correct.

A weather map is a map of the world or a portion of it that uses symbols to depict the weather conditions at a given time, including temperature, pressure, wind speed and direction, humidity, clouds, visibility, and type and amount of precipitation.

Different kinds of weather maps are used by meteorologists to display forecasts. Satellite, Doppler radar, precipitation, temperature, and wind speed are the primary weather maps. Let's investigate each of these in greater depth. There are four types of weather maps and that is station model map, aviation map, temperature map, and streamline map.

The symbol H indicates high pressure. Therefore, option C is correct.

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The angular velocity is infinity.

it's not possible to calculate the kinetic energy change when the angular velocity becomes infinity, it's an abstract concept.

PART 1

The angular velocity of an object is given by the formula:

ω = v/r

where

v is the linear velocity and

r is the distance from the axis of rotation.

The man's initial angular velocity is:

ω = (0.37 rev/s) * (2π rad/rev)

= 2.34 rad/s

As the man moves closer to the center, his distance from the axis of rotation decreases, so his angular velocity will increase.

To find the new angular velocity, we can use the same formula:

ω = v/r

since the radius decreases to 0, the angular velocity becomes infinity.

PART 2

The change in kinetic energy is given by the formula:

ΔK = 1/2 * I * (ω_f^2 - ω_i^2)

where

For a solid cylinder, the moment of inertia is:

I = (1/2) * m * r^2

where

The moment of inertia for the merry-go-round is:

I = (1/2) * (29 kg) * (1.2 m)^2

= 15.12 kg * m^2

The change in kinetic energy can be calculated as:

ΔK = 1/2 * (15.12 kg * m^2) * (∞^2 - (2.34 rad/s)^2)

= infinity J

Note that it's not possible to calculate the kinetic energy change when the angular velocity becomes infinity, it's an abstract concept.

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Answer:

Explanation:

Answer:

See below

Explanation:

I'm assuming the question is asking how much the astronaut weights on Earth and Neptune.

The astronaut's Mass would be exactly the same on Earch as it is on Neptune since mass does not change based on gravity.

Weight = Mass x Gravity

Weight on Earth = Mass x Gravity on Earth

W = 125kg x 9.8 m/s²  = 1225 kg m / 2²  which is 1225 N (Newtons)

Weight on Neptune = Mass x Gravity on Neptune

W = 125kg x 1.1 m/s²  = 137.5 kg m / s²   or 137.5 N

There is direct relationship between harmonics and resonance frequency.

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A solar photovoltaic cell works by the conversion of photon energy to electricity.

It is typically made of semiconductors such as silicon or gallium and the semiconductors are able to absorb light energy and release electrons, which creates an electric current. This current is in the form of direct current (DC) and is typically used to power small devices or stored in a battery. However, to power larger devices or homes, the DC current needs to be converted to alternating current (AC) using an inverter. Solar panels are made up of multiple photovoltaic cells connected in series or parallel to create a larger solar panel. While solar panels can store energy in batteries, they are not typically used in this way. Instead, excess energy is sent back to the grid or stored in a net metering system for later use.

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Answer:

Option B. 8.1

Explanation:

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

Angle θ = 71°

Hypothenus = 25

Adjacent = x

Thus, we can obtain the x component of the vector by using the cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 71 = x/25

Cross multiply

x = 25 × Cos 71

x = 25 × 0.3256

x = 8.1

Therefore, the x component of the vector is 8.1

The corresponding frequency of infrared radiation of a wavelength of 970 nanometer (nm) is 3 x 10^14 Hertz.

The relation between the frequency and wavelength of a radiation is as follows:

c = f x λ

Here c = speed of light = 3 x 10^8 m/s

So, the frequency of a given wavelength can be calculated by applying the above formula,

Putting λ = 970 nm = 970 x 10^-9 m

3 x 10^8 m/s = f x 970 x 10^-9

f = 3 x 10^14 Hz.

Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.

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The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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The speed of the bullet immediately before impact was 361.7 m/s.

The speed of the bullet immediately before impact can be calculated using the law of conservation of momentum and the work-energy theorem.

The impact of the bullet causes the wooden block to move with kinetic energy, which is then dissipated through kinetic friction as it slides to a stop.

The equation for this process is:Initial momentum = Final momentum(12.0 g)(v) = (12.0 g + 98 g)(v')where v is the initial speed of the bullet and v' is the final speed of the block and bullet after impact.

Using the work-energy theorem, we can relate the kinetic energy of the block and bullet to the work done by

kinetic friction:Initial kinetic energy = Work done by kinetic friction(1/2)(12.0 g + 98 g)(v')^2 = (0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)

Solving for v' and substituting back into the initial momentum equation gives:

(12.0 g)(v) = (12.0 g + 98 g)(√[(0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)] / (12.0 g + 98 g))v = √[(0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)] / (12.0 g)v = 361.7 m/s

Therefore, the speed of the bullet immediately before impact was 361.7 m/s.

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The total distance traveled by the in-line skater is 33.75 metres.

The total distance will be calculated by the sum of distance due to acceleration and distance due to constant speed. Converting the above mentioned formula in mathematical expression to be used:

d = (v+u/2)×t + v×t

Keep the values in formula to find the total distance.

d = (5+0/2)×4.5 + 5×4.5

Performing addition and multiplication on Right Hand Side of the equation

d = 2.5×4.5 + 22.5

Performing only multiplication on Right Hand Side of the equation

d = 11.25 + 22.5

Performing only addition on Right Hand Side of the equation

d = 33.75 metres

Thus, the skater traveled 33.75 metres.

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According to Wien's law, the color of the sun should be a bright white or slightly bluish-white. This is because Wien's law states that the peak wavelength of the sun's radiation is in the ultraviolet region, which corresponds to a color on the blue end of the visible spectrum.

However, since the sun emits radiation across a broad range of wavelengths, it appears as a bright white ball in the sky to the human eye.

Based on Wien's Law, the Sun's color is primarily white. Wien's Law helps determine the peak wavelength of radiation emitted by a black body, such as the Sun, based on its temperature. The Sun's surface temperature is around 5,500°C (9,932°F), which corresponds to a peak wavelength in the visible light spectrum, causing it to appear white to the human eye.

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The force due to gravity according to the universal law of gravitation is given by the formula:

F = Gm1m2/\(r^{2}\)

Any two entities with mass in the universe are attracted to one another with a force that is directly proportional to the product of the masses between the two entities and inversely proportional to the square of the distance between the two entities, according to the universal law of gravitation.

F=Gm1m2/\(r^{2}\) represents the gravitational force, where G is the global gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. This equation shows the strength of the attraction force between two masses and explains why items of tremendous bulk tend to attract ones of low mass at greater distances.

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When three different resistors are connected in series to a battery, the current through all resistors is the same.

In a series circuit, there is only one path for current to flow through. Current is the same through each component.

In a series circuit, the total voltage is divided across each component, and the voltage drop across each component is proportional to its resistance.

The equivalent resistance of the circuit is the sum of all resistors. It is not an algebraic sum, rather it is the arithmetic sum of the resistors. Hence, option A is incorrect.

The other two statements are also incorrect as the voltage on each resistor is not the same, it is divided across each resistor in proportion to its resistance. Therefore, the correct statement about the given circuit is: Currents through all resistors are the same.

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Answer:

velocity =displacement/time

and speed =distance/time

Answer:
a) Distance

b) Direction

c) Displacement

Explanation:

jus did it on edeg

The work needed if a force of 3N is used to move a table 25 metres is 75Nm (joules).

Work is a measure of energy expended in moving an object. This means that no work is done if the object does not move.

Force is a physical quantity that denotes the ability to push, pull, twist or accelerate a body and which has a direction and is measured in Newtons.

Work done on an object can be calculated by multiplying the force applied to move the object by the distance the object moves as follows:

Work done = Force (N) × distance (m)

According to this question, a force of 3 Newtons is used to move a table over a distance of 25 meters. The work done on the table can be calculated as follows;

W = 3N × 25metres

W = 75Nm

Therefore, 75Nm is the work done on the table.

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Answer:

her displacement s=337.5m

Explanation:

check out the above attachment ☝️

Displacement after 15.0 seconds s= 337.5 m

The rate of change of velocity is called acceleration.

Acceleration. speed is the charge of the exchange of displacement. Acceleration is the charge of the exchange of speed. velocity is a vector quantity because it consists of each significance and direction. Acceleration is also a vector quantity as it's far just the fee of alternate of pace.

Acceleration of 3.0 m/s²

Time= 15.0 seconds

S= ut + 1/2 at²

S = 0+0.5*3*15*15

 =337.5 m

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The force applied on the object will be 5 newton in the downward direction due to the gravitational force acting on it.

if 5N force is applied in the upward direction then the force is said to be applied in +ve y axis where as the force of 10N due to gravitation applied downwards is said to be applied in the -ve y axis.

Both the forces hence will cancel out each other.

The total force applied on the objet can be represented as:

+5N + (-10N) = -5N

hence the force applied on the object is 5N in the downward direction.

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The potential-energy function curve of the marble as it moves along the x-axis indicates;

(a) The labeled x-coordinates at which the force on the marble is zero are;

(b) The labeled x-coordinate that is a position of stable equilibrium are;

(c) The labeled x-coordinate that is a position of unstable equilibrium are;

The potential energy of an object is the energy the object posses or has due to the position of the object with regards to other objects or the stresses within the object or other factors related to the object.

The possible potential-energy function figure obtained from a similar question online and created with MS Word is attached.

(a) The potential energy and force can be found using the formulas;

P.E. = m·g·h, where;

m·g = The force of gravity

h = The height of the object above the ground

The force, is therefore, the ratio of the potential energy to the height (vertical distance above the ground) of the object.

The force is therefore, the rate of change of the energy with distance, which indicates;

\(F = -\dfrac{dU}{dx}\)

The force is a force acting on the marble, from which we get the negative sign.

When the force is zero, we get;

\(F = -\dfrac{dU}{dx} = 0\)

Therefore;

dU = 0, and the tangent to the curve is therefore horizontal at the point

The point where dU is 0 are the turning points, including b and d

(b), The equilibrium is stable when the net force acting on the marble is zero, therefore;

The points which are positions of stable equilibrium are points;

(c) The positions of unstable equilibrium are points at which the force is not equal to zero, therefore;

F ≠ 0

At the point a, we get;

Therefore, the position a where the force is less than zero is a position of unstable

Similarly, at the point c, the slope, F > 0, therefore, the force is larger than zero, and the point with x-coordinate c is a position of unstable equilibrium.

The labeled x-coordinates that are positions of unstable equilibrium are;

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