how to find velocity of center of mass before and after the collision

When light passes through a polarizer, the intensity of the transmitted light is given by Malus's Law: I = I₀ * cos²(θ) where I is the transmitted intensity, I₀ is the initial intensity, and θ is the angle between the transmission axis of the polarizer and the polarization direction of the incident light.

In the first scenario, when the two sheets of HN-32 with parallel transmission axes are used, the transmitted intensity (flux density) of the emerging beam can be calculated by applying Malus's Law twice:
I₁ = I₀ * cos²(0°)
I₂ = I₁ * cos²(0°)
Since the transmission axes are parallel, the angle θ between the axes and the polarization direction of the incident light is 0°. Therefore, the transmitted intensity of the emerging beam is equal to the initial intensity I₀.
In the second scenario, when the third HN-32 polarizer is added with its transmission axes rotated by 30°, the transmitted intensity (flux density) of the emerging beam can be calculated similarly:
I₃ = I₂ * cos²(30°)
Here, the angle θ between the axes and the polarization direction of the incident light is 30°. Thus, the transmitted intensity of the emerging beam is given by applying Malus's Law with this angle. To calculate the irradiance, we need to divide the transmitted intensity (flux density) by the area through which the light is passing. However, the problem does not provide information about the specific area involved, making it difficult to determine the exact value of the irradiance.

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Answer:

Nucleus :)

Explanation:

An electron will only react with a proton in the nucleus via electron capture if there are too many protons in the nucleus.

I also learned this in freshman year in high school for biology.

Answer:

Nucleus

Explanation:

The Heisenberg Uncertainty Principle explains why electrons do not fall into the nucleus of an atom. The principle specially states that the product of the uncertainty of position and the uncertainty of momentum is greater than or equal to Planck's reduced constant divided by two.

Answer:

I think it would increase sorry if I'm wrong

The maximum speed around a level curve is 30. 0 km/h. What is the maximum speed around a curve with twice the radius is 42.4 km/h.

Meaning of the maximum speed curve:

You might travel at a maximum speed of around 1.4 times as fast on a curve with a radius of 60 meters (twice as much), according to the equation, which also states that your maximum speed is proportional to the square root of the curve's radius.

According to that,

30 km/hr is the maximum speed.

New radius equals 2 r

In all scenarios, the centripetal force will be the same.

Calculating the new top speed around a curve is necessary.

Using the centripetal force formula:

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

Fill out the formula with the value

\(\frac{v^{2} }{2r} = \frac{30^{2} }{2r}\)

\(v= 30\sqrt{2} \ Km/h\)

The maximum speed around a curve is therefore 42.4 km/h.

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Answer:

Assuming they're unit vectors (length of 1)

You simply add them together.

The vector pointing right can be described with X and Y

(1, 0).

The vector pointing down

(0, -1).

The numbers are taken from the axis in X and Y directions.

If you add them together you get a final vector.

(1, - 1)

This gives you -45° pointing South East.

Or 360°-45°=315°

The main difference between the energy of moving water and the energy of stored water is that the energy of moving water has kinetic energy whereas the energy of water that is stored has potential energy.

Potential energy is defined as the stored energy in any object due to its position while on the other hand, while Kinetic energy is defined as the energy an object has due to its motion. The energy stored in the water molecules which is used for the movement of these molecules is called water potential. Stored water has potential energy but the kinetic energy is present only in the moving molecules of water.

So we can conclude that moving water has kinetic energy while on the other hand, the energy of water that is stored has potential energy.

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Answer:

The drawdown in a confined aquifer under transient conditions can be estimated using the Theis solution for the non-equilibrium radial flow of water. This solution is given by:

s = Q / (4πT) * W(u),

where s is the drawdown, Q is the pumping rate, T is the transmissivity, and W(u) is the well function (also called the Theis function) which depends on the variable u, where:

u = r²S / (4Tt),

where r is the distance from the pumping well and t is the time since pumping began.

Given T = 2500 m²/day, S = 1.0 x 10-3, and Q = 500 m³/day, we can calculate the drawdown at 10 m (r1 = 10 m) and 50 m (r2 = 50 m) for t = 150 days.

For (i) r1 = 10 m:

u1 = r1²S / (4Tt) = (10 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.000667

s1 = Q / (4πT) * W(u1) = 500 m³/day / (4π * 2500 m²/day) * W(0.000667).

For (ii) r2 = 50 m:

u2 = r2²S / (4Tt) = (50 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.01667

s2 = Q / (4πT) * W(u2) = 500 m³/day / (4π * 2500 m²/day) * W(0.01667).

Explanation:

Unfortunately, the well function W(u) cannot be evaluated directly without more specialized knowledge or tools. The well function is related to the exponential integral function, which requires numerical computation. You would typically use a table of values, a calculator with this function, or a computer program to evaluate it. After obtaining W(u), multiply it by the remaining fraction to find the drawdowns.

Answer:

because switch moves after a waiter

Explanation:

Answer:

Net displacement = 3.2 m

Explanation:

Given:

Mass of man = 80 kg

Mass of trolley = 320 kg

Speed = 1 m/s

Time = 4 sec

Computation:

Displacement by man = 1 m/s × 4 sec

Displacement by man = 4 m

Net ext force (trolley) = com at rest

So,

320 × X = 80(4 - X)

32X = 32 - 8X

40X = 32

X = 0.8 m

Net displacement = 4 m - 0.8 m

Net displacement = 3.2 m

Answer:

3) 3.2 m

Explanation:

The computation of the displacement relative to the ground after 4 seconds is shown below:

Let us assume the following

Starting x coordinate is at the origin

As it does not involve any external force so x coordinated would remain unchanged

Now the separation between the man and the trolley is

\(= 4 \times 1\)

= 4 m

And, we assume the displacement of man be x

So, for trolley it would be (4 -x)

Now we develop the equation which is

\(80 \times x = 320 \times (4 - x)\)

x = 16 - 4x

Therefore x = 3.2 m

(1) The angular velocity at position 1 of a uniform rod rotating freely around an axis can be determined.

(2) The velocity of the center of mass at position 2.

(1) To determine the angular velocity at position 1, we need to consider the conservation of angular momentum. Since the rod is rotating freely, there are no external torques acting on it.

The initial angular momentum is zero, and at position 1, the angular momentum is given by L = Iω, where I is the moment of inertia of the rod and ω is the angular velocity. By substituting the values of mass and length of the rod into the formula for moment of inertia, we can solve for ω.

(2) To calculate the velocity of the center of mass at position 2, relative to position 1 and at an angle theta, we can use the concept of angular velocity and linear velocity. The linear velocity of the center of mass is given by v = ωr, where ω is the angular velocity and r is the distance between the center of mass and the axis of rotation. By considering the given angle theta and the length of the rod, we can determine the distance r.

Substituting the value of ω calculated in part (1) into the formula, we can find the velocity of the center of mass at position 2, relative to position 1 and at angle theta.

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Answer:

A student becomes negatively charged because of the friction between his socks and the carpet. ... The electrons get rubbed and move towards the carpet so the carpets electrons move away and the student becomes negatively charged.

The use of a parabolic mirror, instead of one made of a circular arc surface, can be used to reduce the occurrence of spherical aberration. This is because a parabolic mirror can reflect  all incoming light rays to a single focal point, resulting in sharper and more focused images.

The use of a parabolic mirror, instead of one made of a circular arc surface, can be used to reduce the occurrence of spherical aberration. Spherical aberration occurs when light rays do not converge at a single focal point due to the curvature of the mirror.

By using a parabolic mirror, light rays are focused more accurately, leading to improved image quality and reduced distortion.

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The use of a parabolic mirror, instead of one made of a circular arc surface, can be used to reduce the occurrence of spherical aberration.

Parabolic mirrors focus parallel rays of light to a single point, eliminating the distortion that occurs with circular arc mirrors.

This distortion, known as spherical aberration, results in blurred images or light being focused at different points, causing a loss of image quality.

Summary: Parabolic mirrors help reduce spherical aberration, providing better image quality and focus compared to circular arc mirrors.

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PLS HELP ME AS QUICK AS POSSIBLE,

THANKS :)) I'm a bit confused

Can you answer 1 and 2, then confirm 3 :))))

Your weight on the moon given the data from the question is 110.5 N

Mass is simply defined as the quantity of matter present in an object. The mass of an object is constant irrespective of the location of the object.

Weight is simply defined as the gravitational pull on an object. The weight of an object varies from place to place due to gravity.

Mass and weight are related according to the following equation

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

W = 65 × 1.7

W = 110.5 N

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Answer:

The heating curve for glass would be different from the heating curve for water because water has a strange behavior while glass also has a strange behavior but is different because it lacks the repeating crystalline structure of solids like ice, or water. Glass becomes soft and impressionable as temperature increases.

Since glass lacks the repetitive crystalline structure present in solids like ice or water, its strange behavior differs from that of glass when heated. This is because glass has a unique, strange behavior than water. As temperature rises, glass becomes brittle and impressionable.

A difference in temperature causes energy to flow from one body to another, recognized as heat. Energy is transferred, or heat flows, when two substances of different temperatures are brought together. The hotter body goes to the cold.

Typically, though not always, this energy transfer causes the temperature of the region of lower temperature to rise and the temperature of the warmer object to fall. It is possible for a substance to absorb heat without increasing its temperature by migrating from one physical state (or phase) to another, such as melting, sublimation, boiling, or shifting from one solid form to the other.

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Answer:

electric stuff

Explanation:

I didn't see any option choices so srry

Answer:

KE = 250 kg/m/s

Explanation:

use the formula: KE = 1/2 m (v^2)

KE = 1/2 (5) (10^2)

KE = (2.5) (100)

KE = 250 kg/m/s

Answer: 21 Celsius = 69.8 Degree Fahrenheit

According to the question the 21° Celsius is 69.8° Fahrenheit.

Fahrenheit is a temperature scale named after German physicist Daniel Gabriel Fahrenheit (1686 - 1736). In this scale, the freezing point of water is 32 degrees Fahrenheit (written as 32°F) and the boiling point of water is 212°F (at standard atmospheric pressure). On this scale, the difference between the two temperatures is 180 degrees. Fahrenheit is the most commonly used temperature scale in the United States. In contrast, Celsius is the most commonly used temperature scale in most other countries.

To convert Fahrenheit to Celsius, subtract 32, then divide the result by 1.8. To convert Celsius to Fahrenheit, multiply by 1.8, then add 32.

Formula:

Celsius x 9/5 + 32 = Fahrenheit

21° Celsius x 9/5 + 32 = 69.8° Fahrenheit

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Answer:

P₄ + 3O₂ → 2P₂O₃

Explanation:

To balance an equation we take each element one by one on each side and balance their atoms.

Like P₄ (Tetraphosphorus) in the left side has 4 atoms of phosphorus.

While on the right side P₂O₃ (Diphosphorus Trioxide) has 2 Phosphorus atoms.

So place 2 as a coefficient in front of P₂O₃.

Now Phosphorus atoms (4 atoms) are balanced on each side.

Now number of Oxygen atoms in P₂O₃ = 2 × 3 = 6

On the left left side number of Oxygen atoms in O₂ = 2

To balance Oxygen atoms in each side, place 3 as a coefficient before O₂ on the left.

Therefore, balance equation will be,

P₄ + 3O₂ → 2P₂O₃

We automatically process space time frequency by how events occur and how they interact with each other.

Space refers to the amount of physical space between objects or events. Time is the measurement of the duration of events or processes. Frequency is a measure of how often a particular event or process occurs. By understanding these three components, we can accurately process the space, time, and frequency of events.

We automatically process space, time, and frequency through our brain's ability to quickly analyze and interpret sensory information. Our perception of space, or the distance between objects, is determined by our brain's ability to analyze visual cues such as size, depth, and perspective.

Our perception of time, or the duration of events, is determined by our brain's ability to track the passage of time through internal and external cues. Our perception of frequency, or the rate at which events occur, is determined by our brain's ability to analyze the number of occurrences of an event within a given period of time. All of these processes occur automatically and unconsciously, allowing us to quickly and accurately perceive our environment.

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Along with your family, plan nutritious meals, or establish a weekly healthy potluck at work. I don't enjoy exercising. Discard the outdated idea that exercising involves weightlifting at a gym.

The six fundamental lifestyle habits for a long, good health include sleeping enough, eating a good food, exercising, keeping a healthy weight, quitting smoking, and drinking in moderation.

Walking, cycling, skating, sports, active recreation, and play are all common methods to be active that anyone may do for fun and at any ability level. It has been demonstrated that regular exercise helps control and prevent noncommunicable diseases like diabetes, heart disease, stroke, and a number of malignancies.

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Answer:

Reaction force. An object at rest on a surface experiences reaction force.

Tension. An object that is being stretched experiences a tension force.

Friction. Two objects sliding past each other experience friction forces.

Air resistance.

Explanation:

Answer with Explanation:

Conntact forces: Frictional force, Muscular force etc

Non-contact : gravitational, electrostatic, and magnetic

I hope   im right!!

The net force acting on the mass parallel to the surface is

∑ F[horizontal] = F[applied] - F[friction] = ma

where m = 10 kg. Given that F[friction] = 6 N and a = 1.2 m/s², we have

F[applied] - 6 N = (10 kg) (1.2 m/s²)

F[applied] = 12 N + 6 N

F[applied] = 18 N

The sample of the solid in grams is 5.5g

HOW TO CALCULATE SPECIFIC HEAT CAPACITY:

Q = m × c × ∆T

Where;

Q = quantity of heat absorbed/released (cal)

m = mass of the substance (g)

c = specific heat (cal/g°C)

∆T = change in temperature (°C)

Q = 7.90Kcal = 7900cal

m = ?

c = 11.5 cal/g°C

T1 = 135K = 135K − 273.15 = -138.1°C

T2 = 260K = 260K − 273.15 = -13.15°C

∆T = -13.15 - (-138.1) = 124.95°C

m = Q ÷ c∆T

m = 7900 ÷ (11.5 × 124.95)

m = 7900 ÷ 1436.93

m = 5.5grams.

Therefore, the sample of the solid in grams is 5.5g.

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the acceleration when the velocity is 0 m/s is 6 m/s².

a) Find the velocity and acceleration as functions of t.The equation of motion of a particle is given as s = t³ - 3t, where s is in meters and t is in seconds. We can find the velocity and acceleration by differentiating the displacement equation with respect to time t:

Velocity, v(t) = s'(t) = (d/dt)(t³ - 3t)

                     = 3t² - 3

Acceleration, a(t) = v'(t)

                            = (d/dt)(3t² - 3)

                            = 6t

b) Find the acceleration after 35 seconds.

The equation for acceleration as a function of time t is a(t) = 6t.

Therefore, we need to evaluate the acceleration function at t = 35. Substituting t = 35 in the acceleration function, we get:a(35) = 6(35) = 210 m/s²c)

Find the acceleration when the velocity is 0.Since the velocity is zero, we can equate the velocity equation to zero and solve for the time:

0 = 3t² - 3t

⇒ 3t(t - 1) = 0

So, t = 0 s or t = 1 s.

However, we're interested in the acceleration when the velocity is zero.

Therefore, we differentiate the velocity function with respect to time to obtain the acceleration function and evaluate the acceleration function at t = 1 s.

Differentiating the velocity function, we get:a(t) = 6tTherefore, a(1) = 6(1) = 6 m/s²

Therefore, When the velocity is 0 m/s, the acceleration is 6 m/s2.

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The correct answers are B., Floor and ball

For the released ball to be in an isolated system, the objects to be included are the floor and the ball.

The principle of conservation of linear momentum states that in an isolated system, the total momentum of a system is conserved.

An isolated system is a system devoid of the influence of external force.

For the released ball to be in an isolated system, the objects to be included are;

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The electrostatic force between the objects remains unchanged when the distance is doubled. The algebraic representation confirms that the electrostatic force is independent of the distance between the objects.

When two charged, massive objects are placed a distance r apart, the electrostatic force between them will depend on the magnitude of their charges and the distance between them. Let's assume the initial electrostatic force between them is denoted as F.

If the distance between the objects is increased to 2r, the magnitude of the gravitational force between them becomes f/4. We can express this relationship algebraically:

F = k * q1 * q2 / r^2 (Equation 1)

where k represents the electrostatic constant, q1 and q2 are the charges of the objects, and r is the distance between them.

When the distance is doubled to 2r, the new distance in the equation becomes (2r)^2 = 4r^2. The magnitude of the gravitational force becomes f/4:

k * q1 * q2 / (4r^2) = f/4

By cross-multiplying and simplifying, we find:

k * q1 * q2 = f

Therefore, the electrostatic force between the objects remains unchanged when the distance is doubled. The algebraic representation confirms that the electrostatic force is independent of the distance between the objects.

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When Earth gets closer to a slow-moving outer planet and surpasses it in its orbit, that outer planet shows retrograde motion, similar to how a quicker runner goes past a slow runner in the outside lane.

The orbital movement of a spatial entity in the opposite direction of what is usual in a specific system is known as retrograde motion. The term "retrograde" is based on the Latin terms retro, which means "backward," and gradus, which means "step." As observed from Polaris, all main planets in the Solar System circle the Sun counterclockwise.

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