from the definition of the moment of inertia, determine the moment of inertia of a uniform rod of mass m and length l rotating around its middle point.

Vector diagram B will result in the largest resultant vector. Correct option is B.

Vector is a mathematical quantity which has both magnitude as well as direction. Force, displacement, velocity & acceleration etc. are the examples of vectors. Vectors are denoted by a standard letter and an arrow upon it.

The resultant(R) of two vectors R1 and R2 having angle θ between them are given by,

R² = R₁² + R₂² + 2R₁R₂cosθ

A) in this diagram single vector is there,

so R = R₁

B) in this diagram two vectors are in same direction with zero angle between them. (Cos0 = 1)

R² = R₁² + R₂² + 2R₁R₂

C) & D) In these diagrams two vectors are in opposite direction with zero angle between them. (Cos180 = -1)

R² = R₁² + R₂² - 2R₁R₂

Looking at B Two vectors will be added each other and give largest resultant vector.

Hence Option B is correct.

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The initial speed of the protons is approximately 0.166 times the speed of light.  the kinetic energy of each proton is 2.10 MeV.the rest energy of the  particle is approximately 18.3 MeV. we can see that the kinetic energy of the protons and the rest energy of the  particle are related through the conservation of energy in the collision process.

(a) Let the initial speed of each proton be v. According to conservation of momentum, the total momentum of the system before the collision is zero (since the protons are moving in opposite directions with the same speed). After the collision, the total momentum is also zero since the particles are all at rest. Therefore, we can write:

2mv = (m + 2m)v

where m is the rest mass of each proton and v is the speed of the particle. Solving for v, we get:

v = (m/3m)c

where c is the speed of light.

Substituting the given values, we get:

v = (9.75 × 10\(^-28\) / (3 × 1.67 × 10\(^-27\))) × 3.00 × \(10^8\) m/s ≈ 0.166c

Therefore, the initial speed of the protons is approximately 0.166 times the speed of light.

(b) The kinetic energy of each proton can be found using the formula:

K.E. = (1/2)m\(v^2\)

Substituting the values of m and v from part (a), we get:

K.E. = (1/2) × 1.67 ×\(10^-27\) × (0.166c\()^2\) = 2.10 MeV

Therefore, the kinetic energy of each proton is 2.10 MeV.

(c) The rest energy of the particle can be found using the formula:

E = \(mc^2\)

Substituting the given value of m, we get:

E = 9.75 × \(10^-28\) × (3.00 × \(10^8)^2\)/ (1.60 × \(10^-13\)) ≈ 18.3 MeV

Therefore, the rest energy of the day particle is approximately 18.3 MeV.

(d) The sum of the kinetic energies of the two protons is equal to the difference between the total energy (rest energy + kinetic energy) of the protons before the collision and the total energy of the particles after the collision. Mathematically, we can write:

2K.E. = (2m)\(c^2\) - (m + 2m)\(c^2\)

Substituting the given values, we get:

2K.E. = (2 × 1.67 ×\(10^-27\))\(c^2\) - (2 × 9.75 × \(10^-28\))\(c^2\) ≈ 4.20 MeV

On the other hand, the rest energy of the particle is equal to the difference between the total energy of the system after the collision and the kinetic energy of the protons after the collision. Mathematically, we can write:

E = (m + 2m)\(c^2\)- 2K.E.

Substituting the given values, we get:

E = (2 × 9.75 × \(10^-28\))\(c^2\) - 2(2.10 MeV) ≈ 14.1 MeV

Therefore, we can see that the kinetic energy of the protons and the rest energy of the  particle are related through the conservation of energy in the collision process.

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Answer:Waves are a type of energy that can travel through different mediums, such as water and air. There are two types of waves: mechanical and electromagnetic. Mechanical waves require a medium to travel through, while electromagnetic waves can travel through a vacuum. Waves have two important properties: wavelength and amplitude. Wavelength is the distance between two consecutive points on a wave, while amplitude is the height of the wave. Waves can interact with matter in different ways, such as reflection, refraction, and diffraction. Sound waves are a type of mechanical wave that require a medium to travel through, and they can be reflected, refracted, and diffracted just like other waves.

The pressure would increase as per Charle's Law, therefore the correct answer is option 4.

It is an imaginary gas for which the volume occupies by it is negligible, this gas does not exist in a practical situation and the concept of an ideal gas is only the theoretical one,

PV = nRT

As given in the problem statement we have to find out if the volume is held constant then what would happen to the gas if the temperature is increased,

For constant volume, the pressure of a gas is directly proportional to the temperature of the gas,

Thus, the pressure would increase as per Charle's Law, therefore the correct answer is option 4.

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Reducing the number of cows we raise for meat would probably be the most effective way to reduce the amount of methane released into the atmosphere

If farmers generated more food from plants and less from livestock, or if they moved to more productive cattle herds, methane emissions from agriculture would probably be reduced. Moreover, emissions from landfills might be recorded.

According to estimates, the agricultural sector is responsible for 40% of all human-caused methane emissions. Avoiding the burning of fields after harvest, modifying livestock feed to reduce methane emissions, and routinely draining rice paddies are all examples of reduction techniques. a fossil fuel.

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Answer:

Explanation:

Airplane wings are shaped to make air move faster over the top of the wing. When air moves faster, the pressure of the air decreases. So the pressure on the top of the wing is less than the pressure on the bottom of the wing.

this is off the internet

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Conservation of angular momentum means that a spinning body tends to maintain its rotational speed or angular velocity unless acted upon by an external torque.

Angular momentum is a property of a rotating object and is determined by the product of its moment of inertia (a measure of its resistance to rotational motion) and its angular velocity (rate of rotation). According to the principle of conservation of angular momentum, the total angular momentum of a system remains constant in the absence of external torques.

When no external torque is applied to a spinning body, its angular momentum remains unchanged. This means that if the body is spinning with a certain angular velocity, it will continue to rotate at that speed unless an external torque acts on it. This is similar to the conservation of linear momentum, where an object in motion tends to maintain its velocity unless acted upon by external forces.

The conservation of angular momentum has several implications. For example, when a spinning figure skater pulls their arms closer to their body, they decrease their moment of inertia, causing their angular velocity to increase, thus conserving their angular momentum. Similarly, when a planet or star contracts due to gravitational forces, it rotates faster to conserve its angular momentum.

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The wavelength λ of light in glass, if its wavelength in air is λ0, its speed in air is c, and its speed in the glass is v is given by the formula;λ = λ0 * (c/v).

The wavelength λ of light in glass, if its wavelength in air is λ0, its speed in air is c, and its speed in the glass is v is given by the formula;λ = λ0 * (c/v)

From Snell's law, the refractive index of glass is given by;sin i/sin r = nWhere;n = sin i/sin rThe speed of light in air is given by c;

The speed of light in the glass is given by;The relation between speed and wavelength is given by the formula ;v = λf

We can substitute the above expression into the speed of light in air and the glass, respectively;

               λ0 f0 = cλf = v

Rearrange and solve for the wavelength λ;λ = λ0 * (c/v)

Hence, the wavelength λ of light in glass, if its wavelength in air is λ0, its speed in air is c, and its speed in the glass is v is given by the formula;λ = λ0 * (c/v).

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Answer:

a. 25.59 μN b. The magnetic force is directed to the left.

Explanation:

a. The magnitude of the magnetic force

The magnetic force, F on the charge is

F = BqvsinФ where B = magnetic field strength = 1.05 T, q = charge = 6.50 × 10⁻⁶ C and v = speed of charge = 3.75 m/s and Ф = angle between B and v = 90° (since the charge is moving into the page and the magnetic field is directed vertically upwards and they are thus perpendicular to each other)  

So, substituting the values of the variables into the equation, we have

F = BqvsinФ

F = 1.05 T × 6.50 × 10⁻⁶ C × 3.75 m/s × sin90°

F = 25.59 × 10⁻⁶ N

F = 25.59 μN

b. The direction of the magnetic force on the particle

Using Fleming's right-hand rule, the first finger represents the magnetic field and the second finger the direction of the charge(or its velocity), then the thumb represents the direction of the magnetic force on the charge. Since the magnetic field is directed vertically upwards and the particle is directed into the page, the magnetic force which is represented by the thumb is directed to the left.

So, the magnetic force is directed to the left.

Density is the mass per unit volume of any object. It is calculated by dividing the mass of an object by its volume. This is:

ρ = m/V

ρ = 4.05 g  / 12 mL

ρ = 0.3375 g/mL

OPTION A

The true azimuth of the AB alignment is 91º 52' (east of north), the magnetic azimuth is 100º 22' (east of north), and the grid azimuth is 108º 52' (east of north).

To find the true azimuth, magnetic azimuth, and grid azimuth of the AB alignment, we need to consider the magnetic declination. The magnetic declination indicates the angle between true north and magnetic north at a specific location. In this case, the magnetic declination is 8º 30' E, which means that the magnetic north is 8º 30' east of the true north.

To calculate the true azimuth, we subtract the magnetic declination from the grid azimuth. The grid azimuth is given as 100º 22', so subtracting the magnetic declination of 8º 30' E gives us a true azimuth of 91º 52' (east of north).

The magnetic azimuth remains the same as the grid azimuth, which is 100º 22' (east of north).

The grid azimuth is calculated by adding the magnetic declination to the true azimuth. Since the magnetic declination is east, we add it to the true azimuth. Adding 8º 30' E to the true azimuth of 91º 52' gives us a grid azimuth of 108º 52' (east of north).

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Answer:

V=u + at

V= final velocity

U= Initial velocity

a= acceleration

t= time taken

V= 5 + 30*2

V=5+60

V=65m/s

Explanation:

Answer:

2 C1 = 4 C2         heat loss = heat gain

C1 = 2 C2

17.9 C2 = 3.1 C3      mixing second and third

17.9 / 2 C1 = 3.1 C3         C1 for C2

17.9 C1 = 6.2 C3

C3 = 2.89 C1

C1 (T - 13) = C3 (40 - T)       heat loss = heat gain

T - 13 = 2.89 (40 - T) = 115.5 - 2.89 T

3.89 T = 128.5

T = 33 deg C

When liquids A and D is added the temperature of the mixture will be θ= 36.71°C.

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature. relation between Kelvin(K) and centigrade (°C), °C= K - 273.15 from equation, 273.15 K means 0 °C, which is freezing point of water (ice).

Let m be the mass of each liquid and C₁,C₂,C₃ Be specific heat of liquid A,B,C Respective. When A and B are mixed. The final temperature is 15°C

∴ Heat gained by A= heat lost by B

i.e. mC₁(15−13)=mC₂(19-15)

5C₁ = 4C₂

C₂ = 5/4 C₁ ________1)

When B and C are mixed. The final temperature is 36.9°C

∴ Heat gained by B= heat lost by C

i.e. mC₂(36.9−19)=mC₃(40-36.9)

C₂17.9 = C₃3.1

C₃=5.77C₂_____2)

from equa. 1) and 2)

We get,

C₃=5.77(5/4 C₁)

C₃ = 7.21 C₁

When A and C is mixed let the final temperature be θ.

C₁(θ-13) = C₃(40-θ)

C₁(θ-13)=7.21 C₁(40-θ)

(θ-13)=7.21 (40-θ)

θ-13= 288.4-7.21θ

8.21 θ=288.4+13

8.21 θ= 301.4

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The kinetic energy of the car is converted to other forms of energy, such as heat and sound, during the sudden stop.

As the car moves along the freeway at a constant speed of 65 mi/h, it has kinetic energy because of its motion. Kinetic energy is defined as the energy that an object possesses due to its motion. When the car suddenly skids to a stop, the kinetic energy it once had is no longer present as the car has come to rest.

The kinetic energy is converted into other forms of energy such as heat and sound that result from the friction between the wheels of the car and the road surface. The heat produced during the skid is a result of the car's brake pads rubbing against the wheel, and the sound is the noise produced due to the skid. This is an example of the law of conservation of energy which states that energy can neither be created nor destroyed; it can only be converted from one form to another.

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Answer:

c. root-pry

Explanation:

i did the test

The process by which a seed enters a rock fracture and the expanding roots push to widen the fissures is known as mechanical weathering.

Machine-induced weathering Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water may seep through fractures and fissures in rock.

You may get mechanical weathering from

the reduction in pressure produced on by the removal of subsurface rock.

Water freezes and thaws in the granite's crevices.

Salt crystals are developing inside the rock.

cracking brought on the plant roots and exposed by digging animals

The information is ,

Let's say the weathering looks like A.

Now, plants are to blame since a seed that falls into a fracture in a rock and the seed's expanding roots push and widen the original gap

Weathering from mechanical sources and one mechanical weathering mechanism that fractures rocks is the freezing and spreading of ice in rock cracks.

Moreover, mechanical weathering reduces rocks into microscopic fragments, increasing the surface area of the material as a whole.

Hence, the method is mechanical weathering.

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Answer:

Explanation:

Here,

Final mass(m)=150g

Final Temperature(t)=60°C

Temperature of hot water(t1)=90C

Temperature of cold water(t2)=14C

Let the grams of water to be used per face be m1 grams and (150-m1) grams for hot and cold water respectively.

We know that,

Heat lost by hot body=Heat gained by cold body

or, m1 s1 Δt1=m2 s2 Δt2

or, m1 (t1-t)=(150-m1) (t-t2)  [∵s1=s2, SHC of water is taken to be same]

or, m1 (90-60)=(150-m1) (60-14)

or, 30m1=6900-46m1

or, 76m1=6900

∴m1=90.79g

(150-m1)=59.21g

Hence, 90.79g and 59.21 g hot and cold water must be used respectively.

Answer:

the three are scavengers predators and decomposers

Explanation:

The three biotic factors that can affect an organism after death are scavengers, predators, and decomposers that can breakdown and destroy the organism. an abiotic factor that can prevent the organism from becoming preserved after it has been buried would be groundwater.

Answer:The answer is Gravity

Explanation:because 9.8 divided by 120=12.2

Answer:

There will be a force of gravity and a normal force coming from the track itself.

Explanation:

Assuming this is a continuation of an earlier question [20398149], the crate starts at rest and is allowed to slide down the ramp with acceleration a = 2.35 m/s², so the block will have some speed as it reaches the bottom of the ramp and it will continue to slide some distance along the flat part.

If the flat part is made of the same material as the ramp, then in addition to its own weight and the normal force, the crate will also feel some friction that slows down its leftward slide.

• The crate's weight and the normal force act vertically, so that

∑ F = n - w = 0

n = w = mg = (100 kg) (9.8 m/s²) = 980 N

(where ∑ F = net force, n = magnitude of normal force, w = crate weight, m = crate mass, g = mag. of gravitational acceleration)

• The friction acts horizontally, so

∑ F = -f = m a

(where f = mag. of friction and a = crate acceleration)

The surface has a coefficient of kinetic friction of µ = 0.3, so

f = µ n = 0.3 (980 N) = 294 N

So at the bottom of the ramp, there are 3 forces exerted on the crate:

• its weight of 980 N pointing downward

• the normal force of the surface pushing upward on the crate, also of 980 N

• friction of 294 N, pointing to the right

and the two vertical forces cancel each other.

The global configuration switch can be remotely managed from a host on another network.

A global configuration represents a physical or logical portion of a product offering. Collects configuration for itself and other contributing Rational solutions for Collaborative Lifecycle Management (CLM) applications. Global Configuration Management is integrated with the following CLM applications:

Configuration changes made in global configuration mode only affect the configuration of the currently running router. If the router needs to be rebooted, the configuration will revert to the previous configuration.

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Platinum would be a better material to use for passing heat from one material to another compared to carbon fiber.

Platinum is a better conductor of heat than carbon fiber. Platinum has a thermal conductivity of 71.6 W/(m·K), while the thermal conductivity of carbon fiber is much lower.

It's important to note that the specific application and conditions of the heat transfer process can also play a role in determining the most appropriate material to use.

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Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?

It's possible that our understanding of how gravity behaves on galaxy-scales is inaccurate or lacking in some way.

We surmise that dark matter exists based on its gravitational pull on visible matter. In order to rule out the idea that our comprehension of gravity is leading us to incorrectly infer the presence of dark matter, the majority of scientists believe it to be extremely unlikely that there is a problem with our knowledge of gravity. As long as it is too faint for us to perceive beyond the halo of our galaxy, astronomers regard dark matter to be "dark." If a human were to be hurled into the halo of our galaxy, they might end up being dark matter. An estimated 85% of the universe's mass is assumed to be made up of dark matter, a hypothetical type of stuff. Dark matter is so-called because it doesn't seem to interact with the electromagnetic field, which means it doesn't emit electromagnetic radiation like light or absorb electromagnetic radiation like it does. As a result, it is hard to detect. Numerous astrophysical observations support the existence of dark matter, including gravitational effects that cannot be described by the gravity theories currently in use without the presence of more matter than can be observed. Because of this, the majority of scientists believe that dark matter is prevalent in the universe and has greatly influenced its structure and evolution.

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Correct answer is blue-purple.

Let's discuss it further below.

To find the wavelength most strongly reflected at the center of the outer surface when a soap bubble with a thickness of 120 nm is illuminated by white light, you should use the formula for constructive interference. Assuming the refractive index n = 1.34, follow these steps:

1. Calculate the optical path difference: The path difference is twice the thickness of the soap film multiplied by the refractive index (n). In this case, it is 2 × 120 nm × 1.34 = 321.6 nm.

2. Determine the wavelength of constructive interference: For constructive interference, the optical path difference must be equal to an integer multiple of the wavelength. Since the optical path difference is 321.6 nm, you can approximate the reflected wavelength to be around 321.6 nm.

3. Identify the color: A wavelength of approximately 321.6 nm corresponds to the blue-purple range of the visible light spectrum.

So, when a soap bubble with a thickness of 120 nm and refractive index of 1.34 is illuminated normally by white light, the wavelength most strongly reflected at the center of the outer surface is blue-purple.

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Answer: not very sure

=11074.4089

Explanation:

637000/57.52 = 11074.4089

Answer:

4minutes

Explanation:

They would meet each other after 44.16 seconds.

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem, two bicyclists approach each other on the same road. One has a speed of 3 m/s, and the other has a speed of 9 m/s. They are 530 m apart. If they keep traveling at the same speeds, then we have to find out how long will it be before they meet each other,

As both, the bicyclists approach each other their relative velocity would be the sum of their individual velocities,

The relative velocity of the bicyclists = 3 m/s + 9 m/s

                                                              = 12 m/s

The time taken when they both meet each other= 530 /12

                                                                                   = 44.16 second

Thus, they would meet each other after 44.16 seconds.

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The new orbital speed after friction from the Earth's upper atmosphere has done -7.5x\(10^{9}\) J of work on the satellite is approximately 7489 m/s.

We can use the work-energy principle to solve this problem. The work done by the atmosphere is equal to the change in kinetic energy of the satellite

W = ΔK

Where W is the work done by the atmosphere and ΔK is the change in kinetic energy. We can find the initial kinetic energy of the satellite using the formula

K = (1/2)m\(V^{2}\)

Where m is the mass of the satellite and V is its initial velocity.

Since the problem does not provide the mass of the satellite, we can assume it is constant and cancel it out in the equations. Thus, we can write

W = ΔK = (1/2)m\(Vf^{2}\) - (1/2) m\(Vi^{2}\)

Where Vf is the final velocity of the satellite and Vi is its initial velocity.

Substituting the given values, we have

-7.5x\(10^{9}\) J = (1/2)m\(Vf^{2}\) - (1/2) m\(Vi^{2}\)

We also know that the initial orbital speed of the satellite is equal to the velocity required for circular motion at its altitude, which can be calculated using the formula

V = √(GM/r)

Where G is the gravitational constant, M is the mass of the Earth, and r is the distance between the satellite and the center of the Earth.

Substituting the given values, we have

Vi = √[(6.67x\(10^{-11}\)N\(m^{2\)/\(Kg^{2}\))(5.97x\(10^{24}\) kg)/(6.67x\(10^{6}\)m)] = 7646 m/s

Solving for the final velocity, we have

Vf = √[2(-7.5x\(10^{9}\) J)/(m) + \(Vi^{2}\)]

The mass of the satellite cancels out, and we get

Vf = √(2(-7.5x\(10^{9}\) J)/(\((7646m/s)^{2}\) + \((7646m/s)^{2}\) ) ≈ 7489 m/s

Therefore, the new orbital speed after friction from the Earth's upper atmosphere has done -7.5x\(10^{9}\) J of work on the satellite is approximately 7489 m/s.

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Answer:

A.

Explanation:

Toward the planet

Answer:

To answer your question:

a) The formula to calculate the number of wavelengths within a laser pulse is:

number of wavelengths = pulse duration / wavelength

Plugging in the values given in the question, we get:

number of wavelengths = 38 ps / 1062 nm

Converting picoseconds to seconds and nanometers to meters, we get:

number of wavelengths = 38 x 10^-12 s / 1062 x 10^-9 m

number of wavelengths = 0.0358

Therefore, there are approximately 0.0358 wavelengths within the laser pulse.

b) To fit only one wavelength, the pulse duration would need to be equal to the wavelength. The formula to calculate the pulse duration is:

pulse duration = wavelength

Plugging in the value given in the question, we get:

pulse duration = 1062 nm

Converting nanometers to picoseconds using the speed of light ©, we get:

pulse duration = wavelength / c

pulse duration = 1062 x 10^-9 m / 3 x 10^8 m/s

pulse duration = 3.54 x 10^-12 s

Therefore, the pulse would need to be approximately 3.54 ps long to fit only one wavelength.

I hope this helps

The angular wavenumber k of neon laser light having wavelength 633 nm in water is 1.32 x 10⁷ m⁻¹.

To find the angular wavenumber k of the radiation in water, we need to follow these steps:

1. Convert the wavelength from nanometers (nm) to meters (m):
  λ (in meters) = 633 nm * (1 meter / 1,000,000,000 nm) = 6.33 x 10⁻⁷ m

2. Find the wavelength in water by dividing the vacuum wavelength by the refractive index (n) of water:
  λ_water = λ_vacuum / n = (6.33 x 10⁻⁷ m) / 1.33 = 4.76 x 10⁻⁷ m

3. Calculate the angular wavenumber k using the formula: k = 2π / λ_water
  k = 2π / (4.76 x 10⁻⁷ m) = 1.32 x 10⁷ m⁻¹

The numerical value of the angular wavenumber k of this radiation in water is 1.32 x 10⁷ m⁻¹.

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Answer:

Base

Hope this helps! :)