A uniform plank of mass 10kg and length 10m rests on two supports, A and B as shown. A boy of weight 500N stands at a distance of 2m from A. Find the reaction forces U¹ and U² at the supports A and B respectively​

The centripetal acceleration of the ball if its tangential speed is increased to 2 v₀ is (4 M v₀²)/R.

The centripetal force equation that we are aware of is

F = (m* v²)/r ----(1)

where,

m is the of the ball

v is the velocity

r is the radius

We are aware that F = m* a ----(2)

Equating (1) and (2), we have,

m* a = (m* v²)/r

a = v²/r -----(3)

where, a is centripetal acceleration

In this problem, it is said that, the tangential speed is increased to 2 v₀, then the centripetal acceleration

So, v = 2 v₀, r = R

Substituting the values in (3), we have,

ac = (2 v₀)²/R = 4 v₀²/R

Thus, the required centripetal acceleration is 4 v₀²/R.

The question is incomplete. The complete question has the missing figures that are attached in the attachment below.

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Sliding friction is significantly less than static friction for a pair of specified surfaces. because moving an object in motion is simpler than moving an object at rest.

Contact points are not given enough time to fully interlock while sliding. thus, less friction. But because the surfaces interlock so effectively while the object at rest, friction increases. The difference between static and sliding friction is thus explained.

Friction force has an identical amplitude in the reverse direction to any little force applied to an object. The greatest static friction force on an item is s times the usual force.

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It travels at a speed of 36 meters per second

The velocity of a wave is a measure of how fast the wave travels through a medium. It is given by the equation v = λf, where v is the velocity, λ is the wavelength, and f is the frequency. In this case, the given wavelength is 3.0 meters and the given frequency is 12 Hertz.

Plugging these values into the equation, we can calculate the velocity of the wave:

v = (3.0 m) * (12 Hz) = 36 m/s.

This means that the wave travels at a speed of 36 meters per second.

It is important to note that the velocity of a wave depends on the properties of the medium through which it is traveling, as well as the wavelength and frequency of the wave itself.

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Answer:

It uses electromagnets to create a rotating magnetic field.

Explanation:

I remember learning this in AP Physic class. The interaction between the two fields causes the rotor to turn and it creates a magnetic field!

Answer:

It generates a rotating magnetic field using electromagnets.

The equivalent capacitance is  21 μF.

In electrical engineering, equivalent capacitance often abbreviated as C eq—is a measurement of the total combined electric charge held in two or more capacitors connected in series or parallel. A capacitor is an electrical device that stores electrical energy into the electric field. Typically, a capacitor has two electrical leads that are separated by a dielectric or other insulating substance.

We are given that,

capacitance =c₁ =9  μF

capacitance = c₂ =6  μF

capacitance = c₃ = 3  μF

capacitance = c₄ =2  μF

capacitance = c₅ = 1  μF

Thus If the capacitor is connected in parallel the equivalent capacitance, cₐ can be calculated by the equation,

cₐ= c₁+c₂+c₃+c₄+c₅

cₐ = 9 +6 +3 +2+1 μF

cₐ = 21 μF

Therefore , The equivalent capacitance would be  21 μF.

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The power rating of an engine who can lift a 100kg object 5m vertically in 4 seconds is 125watt.

In electrical engineering and mechanical engineering, the power rating of equipment is the highest power input allowed to flow through particular equipment. According to the particular discipline, the term power may refer to electrical or mechanical power.

From the question given :
Force (f) = 100

Time (t) = 4 seconds

Distance (d) = 5m

Work done = f * d

= 100 * 5

= 500

So, The power will be

= Work / time

= 500 / 4

= 125watt

Therefore, the power rating of the engine is 125watt.

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The collision of two billiard balls is an example of elastic collision.

An elastic collision is a collision where Kinetic energy is preserved. In this type of collision, there will be no change in overall kinetic energy and momentum.

An inelastic collision is where the Kinetic energy is not preserved. Here some of the kinetic energy is transferred to some other form of energy like thermal energy or sound energy.

In both type of collisions, momentum is preserved. There are fewer examples of  perfectly elastic collision in real life. Collisions in atomic levels are examples of perfectly elastic collisions. But some collisions where the energy loss is negligible are considered elastic collisions. One such example is the collision of the billiard balls.

So when a billiard ball hits another it is an elastic collision.

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Na+ ion in the ground state has the same electron configuration as an atom of neon in the ground state.

The electronic configuration has been defined as the electron address in a atom. The electronic configuration has been based on the quantum rule for the filling of the electrons.

Neon is the tenth element with a total of 10 electrons. In writing the electron configuration for neon the first two electrons will go in the 2p orbital. Since 1s can only hold two electrons for Ne go in the 2s orbital. The remaining six electrons will go in the 2p orbital. Therefore, the Ne electron configuration 1s22s22p6.

Ne (atomic number=10) have 2,8 electron configurations. Here the atomic number of Na is 11. The configuration of Na is 2,8,1. Atomic number of Na+ is 10 and it has an electron configuration of 2,8 which is similar to Ne. Na+ ion is a positively charged particles, because they are missing one electron.

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B. the building at A O muscle fibre dendrites O branches and axon terminals. The 'B' structure consists of axon branches and Axon terminals are the structure designated "A."

1). The structure labeled "B" is: Axon branches

-Because a motor neuron's axon has multiple branches that come together to form a neuromuscular junction, one of its axons can innervate numerous muscle fibers.

- These branches carry potential action in the direction of certain synaptic knobs.

2). The structure labeled "A" is: Axon terminals

-It creates a neuromuscular connection with the motor end plate of the sarcolemma and features a bulged structure at its most terminal end.

- Neurotransmitter is exocytosed from the axon terminal.

- Synaptic cleft is the area between the sarcolemma and the synaptic knob at the axon terminal.

Any of the button-like ends of axons through which axons create synaptic connections with other nerve cells or with effector cells is known as an axon terminal. Neurotransmitter-containing synaptic vesicles bind at the axon terminal. The cell opens up to calcium ions upon activation by a graded potential or by an action potential of the presynaptic neuron. This starts a chain reaction that leads to the synaptic vesicles fusing into the axon terminal membrane. The synaptic vesicle proteins that the calcium ions activate create fusion holes that allow the neurotransmitters to leave. The effects of the neurotransmitters on the target cell only last for a brief period of time.

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The second 2 kg stone has four times the kinetic energy of the first 2 kg stone.

The kinetic energy of an object is equal to (1/2) * m * v^2, where m is the mass of the object and v is the velocity of the object.

For the first 2 kg stone, the kinetic energy is

(1/2) * 2 kg * 1 m/s^2 = 1 kg m^2/s^2.

For the second 2 kg stone, the velocity is twice as fast, so the kinetic energy is

(1/2) * 2 kg * (2 m/s)^2 = 8 kg m^2/s^2.

The second 2 kg stone has 8 kg m^2/s^2 of kinetic energy, which is four times the kinetic energy of the first 2 kg stone, which has 1 kg m^2/s^2 of kinetic energy.

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Spring constant is needed to produce a period of 0.500 s for a 0.0150-kg mass: The required spring constant is 2.368.

What is the time period of a spring-mass system?

The time period of a spring-mass system is the amount of time it takes for the system to complete one full cycle of oscillation. This time period is determined by the system's spring constant and mass, and is calculated using the formula: T = 2π√(m/k), where m is the mass of the system and k is the spring constant. In a spring-mass system, the time period is typically short and can range from a few microseconds to several seconds. The time period of a spring-mass system is an important factor when designing a system, as it can affect the performance of the system. If a system is required to complete multiple cycles of oscillation within a given amount of time, then the time period must be short enough to accommodate this.

T = 2π√(m/K)

In the given problem,

Time period , T = 0.5 s

Mass, m = 0.0150-kg

T = 2π√(m/K)

K = 4π²m/T²

   = 4× π² × 0.015  /  0.5²

   = 0.592/0.25

   = 2.368

Therefore the required spring constant is 2.368

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Digital signals more reliable than analog signals because of the many following reasons:

Analog Signal is a Continuous type signal which has one time varying quantities such as Voltage, Pressure, etc. As in the analog audio signal the instantaneous voltage continuously varies with the sound wave's pressure.

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The speed of the cars immediately after the collision will be the same as their speed before the collision, which is 14.6 m/s. In a perfectly inelastic collision, the objects involved in the collision will move together with the same speed after the collision as they had before the collision. This is because the total kinetic energy of the system is conserved in a perfectly inelastic collision.

Rita's momentum when riding a 7kg bike at a velocity of 15m/s where her mass is 42kg is 7.4 * 10² kilogram meters / second. Therefore, the answer is D.

In Newtonian mechanics, momentum is the product of the mass and velocity of an object. It's a vector quantity, possessing a magnitude and a direction.

Based from the question, given :
mass of bike = 7kg

mass of Rita = 42kg

velocity = 15m/s

Momentum (P) = mass * velocity

= (mass of bike + mass of rita) * 15

= (7 + 42) * 15

= 49 * 15

= 7.4 * 10² kilogram meters / second

Therefore, the answer is D.

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The light emitted by hydrogen atoms appears red because the most intense line in its spectrum, at 656 nm, is in the red section of the visible spectrum.

The principal quantum number(n) for the Lyman series is 1. As a result, the Lyman series has the highest energy in the hydrogen spectrum. This is due to the fact that helium has more electrons than hydrogen. Helium has two, while hydrogen has only one. More spectral lines will be noticed as more electrons are stimulated. Helium therefore has more spectral lines than hydrogen. Gamma rays are the most energetic, have the shortest wavelengths, and have the highest frequencies.

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To encourage action, establish clear expectations with your vendors and engage them strategically.Companies have to go beyond data collecting and establish clear expectations on suppliers about emissions reduction in order to significantly cut upstream Scope 3 emissions.

The enormous number of partners inside the value chain is one factor contributing to the difficulty of accounting on Scope 3 emissions.For major companies, the number of upstream supply chain partners who contribute to Category 3 emissions can range from hundreds to tens of thousands, and they may be located all over the world.

Reducing the amount of goods purchased can take many different forms, including switching to incoming materials with such a lower CO2 content, reducing input quantity, using recycled materials as inputs, reducing production waste, favoring more sustainable suppliers, and working with important suppliers to reduce their own carbon footprints.

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Answer:

Water has a bulk modulus of around 300,000 psi (2.1 GPa) and so a compressibility of 3.3 106 (psi)1.

Explanation:

The center of mass of the stick will be moved above 79.2 cm to the right before the stick begins to rotate.

The equilibrium position of the meter rule is the point at which all the forces acting on the meter rule sums to zero.

The equilibrium position of the meter rule is determined by taking moment about the center mark or the end position.

-------5cm---------------------------------------------------------100cm

       ↓             x             ↓

     0.02 kg                  W

sum of anticlockwise moment = sum of clockwise moment

0.02 (x) = W (100 - (5 + x) )

0.02x = 0.1 ( 100 - ( 5 + x ) )

0.02x = 0.1 ( 100 - 5 - x )

0.02 x = 10 - 0.5 - 0.1x

0.12 x = 9.5

x = 9.5 / 0.012

x = 79.2 cm

Thus, when the center mass is moved any distance above 79.2 cm, the meter stick will begin to rotate.

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A decimal system of measurement, the metric system was developed in France in 1799 and has since been widely used around the world.

The metric system serves as the foundation for the International System of Units, the universally accepted system of measurement. Although the United States legal framework was modified in 1866 to permit the use of the metric system, the country has not yet adopted it as its "official" system of measuring. Body-based measuring was the foundation on which the United States English System of measurement was built. Traditionally, the foot, the inch, and the pound have served as the foundational units of measurement in the English system. Metric prefixes like kilo, Millis, and centi are used to denote multiples of a base unit, such as the meter or the gram. When it comes to measuring length, the English system has a bad reputation.

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The 10 most prevalent genetic disorders include albinism, Angelman syndrome, Ankylosing spondylitis, Apert syndrome, Charcot-Marie-Tooth disease, Congenital adrenal hyperplasia, Cystic fibrosis, and Down syndrome.

The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). The condition affects about 30,000 persons in the US.

How traits and genes are passed down from one generation to the next is the main topic of genetics research. Our DNA contains information that affects our personalities, looks, and even health! Everything starts with genetics. One child has blonde hair like their mother, and their sibling has brown hair like their father; this is due to genetics.

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The chemical formula of Magnesium Bromine MgBr₂.

Magnesium bromide is a chemical compound which is formed by the combination of magnesium and bromine.

The chemical formula of Magnesium Bromine MgBr₂.

The colour of Magnesium Bromine is white and it is a very deliquescent crystalline type solid in nature.

It can be sometimes used as a mild sedative and also we can use is as an anticonvulsant which is commonly used in the treatment of nervous disorders.

It can be easily soluble in water and sometimes it can also be easily dissolved in alcohol.

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a)The primary blast cell for bone is the osteoblast b) Alveolar  is NOT a type of connective tissue. c) Connective tissue extracellular matrix is composed of fibers, and a ground substance d)Cartilage tissue tends to heal less rapidly than bone tissue. e))lines most of the respiratory tract of pseudostratified columnar epithelium containing mucus-secreting goblet cells.

In addition, blast cells known as myeloblasts can form. Young blood cells made by stem cells are what these are. The synthesis of red, white, and platelet-forming blood cells can also be hampered by an excess of blast cells. Bone marrow blasts are not expected in healthy individuals. When a person develops leukemia, aberrant, immature white blood cells—known as blasts—proliferate rapidly, filling up the bone marrow and blocking the creation of other cells vital to survival, such as red blood cells and platelets. Anemia, infections, and unusual bleeding result from this. Blast cells shouldn't make up more than 5% of the bone marrow cells in healthy individuals, and they often aren't present in the blood.

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The total momentum of the system after collision is 12 kg-m/s.

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The distance from station B to station C as seen in the velocity time graph is calculated as; 6000 m

Velocity-time graph is simply defined as a plot that shows the relationship between Velocity and Time.

Now, the velocity time graph attached shows the motion of the movement of the train from station B to station C.

Now, when it comes to velocity time graph, we have to know that the area of a velocity time graph, gives us the overall distance covered by the motion it represents.

Since the velocity time graph is a trapezium shape, then we will use the are of a trapezium formula to get the distance from station B to station C.

Area of trapezium = ¹/₂(sum of parallel sides) * height

Plugging in the relevant values from the graph gives;

Distance = ¹/₂(300 + 100) * 30

Distance = ¹/₂ * 400 * 30

Distance = 6000 m

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Formula of

Line segment

is AB =

[tex]\sqrt{(x_{2} -x_{1} )^{2} } +\sqrt{(y_{2} -y_{1} )^{2} }[/tex]

Line segment

is a part of line with definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

.

            A ______________________ B    

        (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as [tex]\frac{}{AB} /\frac{}{BA}[/tex]. In other word we can say line segment is

subset

of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by

ruler

. A bar (-) is always on top of its notation {[tex]\frac{}{AB}[/tex]}.

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Formula of Line segment is AB =  [tex]\sqrt{(x_{2}-x_{1})^{2} } +\sqrt{(y_{2}-y_{1})^{2} }[/tex]

Line segment

is a part of line with a definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

        A ______________________ B    

       (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as[tex]\overline{AB}/\overline{BA}[/tex] . In other word we can say line segment is subset of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by ruler A bar (-) is always on top of its notation {[tex]\overline{AB}/\overline{BA}[/tex]}.

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the fundamental frequency is 300 Hz is the answer.

Constructive Frequency

Peak frequency differences are different by

= 1200 - 900 = 900 - 600 = 300 Hz

hence, the fundamental frequency is 300 Hz.

Since the frequency of constructive interference is an integer multiple of the fundamental frequency, the fundamental frequency can be calculated from the difference between two successive peak frequencies.

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Answer: f = c/lambda

Explanation:

f = frequency

c= speed of light constant

lambda = wavelength

Unit -> hertz (Hz)

F normal up, Fg down, small arrow left F friction

There are three forces acting on the sliding object across a horizontal surface. These are normal force, gravity force and friction force.

The direction of normal force is always upward. This force is acting on the object against the gravity. Gravity force is towards the center. Gravity force causes downward sliding of the object.

There is a third force also in action. Friction force exists between surface of two objects when one object is moved on the surface of another object, or is tried to move. Friction force acts against the motion of an object.

The correct option is B.

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Answer: Use a refracting telescope to make important astronomical discoveries.

Explanation:

Answer:

Driver 1

Explanation:

In this scenario, driver 1 has a greater average speed than driver 2. To determine the average speed of a driver, we need to divide the distance traveled by the time it took to travel that distance. In the case of driver 1, who traveled 100 km in 2 hours, their average speed would be 100 km / 2 hours = 50 km/hour. For driver 2, who traveled 100 km in 3 hours but stopped for an hour halfway, their average speed would be 100 km / (3 hours - 1 hour) = 33.33 km/hour. Since 50 km/hour is greater than 33.33 km/hour, driver 1 has a greater average speed.