A cubical block of mass m and side 'a' is moving horizontally on a smooth horizontal surface with a velocity v 0
​
. The block collides with a ridge P and starts rotating about P. Find the minimum value of v 0
​
needed to overcome the ridge.

According to the provided statement, a power supply was charged after 2.2 minutes of charging.

Charge, also referred to as electric charge, electrostatic attraction, or electrostatic interactions and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer particles than protons it contains.

The physical characteristic of matter that leads it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges. Charge movement is what produces energy.

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The aggregate bulk dry specific gravity, the aggregate apparent specific gravity, the moisture content of stockpile aggregate and absorption are respectively,

A. 2.7

B. 2.72

C. 1.6%

D. 0.21%

A) The formula for the aggregate bulk dry specific gravity is:

Aggregate bulk dry specific gravity = Mass of oven dried aggregate /( Mass of saturated surface dry aggregates - Submerged mass of aggregate)

Placing the values from the data we have,

Aggregate bulk dry specific gravity = 5216/ (5227 - 3295) = 2.7

B) Formula for aggregate apparent specific gravity is

Mass of oven dried aggregate/ ( Mass of oven dried aggregate - Submerged mass of aggregate) = 5216/ (5216 - 3295) = 2.7

C) The moisture content of the stockpile aggregate is

m = (weight of moist aggregate - mass of oven dried aggregate) / (mass of oven dried aggregate* 100%)

m = (5298 - 5216)/ (5216* 100%) = 1.6 %

D) Absorption is calculated as A = (5227 - 5216) / (5216) * 100% = 0.21 %

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Angular speed is the speed of the object which determines how fast any object can rotate. It has both direction and magnitude and so is the vector quantity.

Given that:

Angular momentum (L) = 0.26

Diameter = 20cm = 0.2 cm

Radius, r = (d/2) = 0.1m

Mass = 5.8 kg

Moment of inertia (I) = 2mr² / 5

I = (2 * 5.8 * 0.1^2) / 5

= 0.116

= 0.116 / 5

= 0.023 kgm²

Angular speed (w) ;

w = L / I

w = 0.26 / 0.023

= 11.30

= 11.3 rad/s

w = (11.3 * 60/2π)

w = 1064.9

Angular speed = 1064.9 rpm

= 1065 rpm

Therefore the angular speed is 1065 rpm.

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The coefficient of kinetic friction is 0.54

Kinetic friction is characterized as a force that acts between moving surfaces. A body moving on the surface encounters a force in the opposite direction of its movement. The magnitude of the force will depend on the coefficient of kinetic friction between the two materials. Here we are given the information of a force of   36.0 N required to a 6.0-kg box moving across a horizontal concrete floor and the acceleration is at 0.60 m/s2.The formula we can refer to in order to the calculate the  kinetic friction is : F- u[tex]_{k}[/tex](mg)=ma

=>36-u[tex]_{k}[/tex](mg)= 6* 0.60

=> u[tex]_{k}[/tex](mg) =  36 -(3.6)

=> u[tex]_{k}[/tex]=  32.4/mg

=>u[tex]_{k}[/tex]= 32.4/6*10 = 0.54

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A force of 36.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor.  if the 36.0-n force continues, the box accelerates at 0.60 m/s2 . What is the coefficient of kinetic friction?

There are specified boundary conditions.y = root of x – 1 – y = 3 – x – y = 0, and y = 0 when x is subtracted from the answer.

Find the moments of inertia ?

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The velocity of car A relative to the observer of car B when the car B is not rotating is, V = ( 20i - 15j ) m/s

Velocity of car B with which it is rounding is: Vb = 54km/hr = 15m/s

velocity of car A with which it is approaching car B: Va = 72km/hr = 20m/s

Distance between the two cars, d = 40m

velocity is car A is

Va = Vb + Vb/r × d + V ( V is the velocity of car A relative to the observer of car B)

20i = 15j + 15/100k × ( -40i ) + V

20i = 15j - 6j + V

V = ( 20i - 9j ) m/s

Thus the velocity of car A relative to the observer of car B = ( 20i - 9j ) m/s

The velocity of car A relative to the observer of car B when the car B is not rotating, V = ( 20i - 15j ) m/s

As this velocity is not negative relative to the previously calculated velocity.

Thus, this apparent velocity is not negative.

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The location that is not good for photovoltaic cells is the farm.

In the recent years, there have been a lot of clamor for the return to clean energy and the first port of call have been the consideration of the use of renewable energy sources as a power source for the future. This has engendered the return to the solar energy.

In the harvesting of the solar energy, solar cells are displayed in such a place that they can be able to absorb the energy from the sun and this is converted to electrical energy.

Unfortunately, if we are to harness the use of the photovoltaic cells, we need a large expanse of land that can be used to mount the cells and these lands would  cease to be available for use in agriculture.

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Missing parts;

Solar photovoltaic energy is highly versatile and can be used in a variety of dispersed settings. Which of the following would NOT be a good location to harness large amounts of this form of energy?Roof tops of commercial buildings Base-load Power Facilities Airports Agricultural Fields Residential Neighborhoods

The angle between the string and the car is 23.79° When the car drives around a 75 m radius curve with a constant speed of 18m.s.

Radius of the curve = r = 75m

Speed of the car = v = 18 m/s

To calculate centripetal acceleration,

Centripetal acceleration is the acceleration experienced by the car when in constant motion around the curve.

Centripetal Acceleration = Cₐ =

= v² / r

= 18² / 75

= 4.35 m/s²

Gravitational acceleration = g = 9.8 m/s²

To find the angle between the string and the car= θ =

= θ = tan (Cₐ /g)

= θ = tan (4.35 / 9.8)

= θ =23.79°

Thus, the string attached to the car moving at the constant force is at an angle of 23.79 degrees.

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These photons are emitted by this devices at rate 73.2 x 10¹⁴

Photons can be absorbed or emitted from atoms if the electrons in the atom transition from a state expressed in quantum numbers. The movement of electrons from a lower quantum state to a higher quantum state requires photons.

To determine the rate of the emitted photon, find the energy of each photon first.

Use formula:

E = hc/λ

h is Planck's constant and c is the speed of light.

h = (6.628) (10⁻³⁴) Js

c = (2.998) (10⁸) m/s

So,

E = hc/λ

= (6.626 × 10⁻³⁴)  (2.9 × 10⁸) / (632.8 x 10⁻⁹)

= 3.14 x 10⁻¹⁹ J

Hence the energy emitted = 2.3 x 10⁻³

So, the rate:

= 2.3 x 10⁻³ / 3.14 x 10⁻¹⁹

= 73.2 x 10¹⁴

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The required percentage of the final current that flows is 95 %.

The percentage of the final current flows through an inductor Using the decay of current in the RL circuit,

[tex]I = I_{0} ( 1 - e^{\frac{-l}{r} } )[/tex]

It is given that an inductor L in series with a resistor R

So, l = 3r

Then,

[tex]I = I_{0} ( 1 - e^{\frac{-3r}{r} } )\\\\I = I_{0} ( 1 - e^{-3 } )[/tex]

Now,

[tex]I = I_{0} ( 1 - e^{-3 } )\\\\ I = I_{0} ( 1 - 0.04978 } )\\\\I =I_{0} *0.95[/tex]

So,

[tex]\frac{I}{I_{0} }*100 = 95 %[/tex]

Hence, The required percentage of the final current that flows is 95 %.

A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

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The buoyant force of the cube is 23 / 12 gcm^-3. Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged.

Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth.

Any object in water experiences a buoyant force that works against gravity, causing it to shed some of its weight. The buoyant force acting on the object will be equal to gravity and it will float if it displaces an amount of water equal to its own weight.

Let the side of metal be L.

So the of base is A = L²

Now the weight of 144 g weight will be balanced by the buoyancy force due to 1/2cm length of metal cube (p = 2gcm^-3)

So buoyancy force is F = A x L1pg=L^2 x 1/2 x 2x10

L = 12cm

This force is equal to weight of 144gm.

so, L² x 1/2 x 2 x 10 = 144 x 10

L = 12 cm

when no weight was placed the 1/2 cm was above the liquid.

so total length under weight was L - 1/2 = 23/ 2 cm

weight of block = buoyancy force

pmetal x L³ x g = p x L² x 23/2 x g

pmetal = 23 / 12 gcm^-3

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the density of the object is 0.0041 g/vol

Water has a density of about 1 gram per milliliter, however this might vary depending on temperature or the things that are dissolved in it. Because ice is less thick than liquid water, ice cubes float in glasses of water.

Compared to a unit volume of liquid water, air has fewer molecules per volume, making it lighter.

Given two weights = 8.5 N and 4.4 N

the formula v₀ = wₐ - wₓ/ pₓg

here wₐ = weight in air

and wₓ = weight in water

Thus on substituting the value of the above mentioned dimensions we get

v₀ = 8.5 - 4.4 / 1000

v₀ = 0.0041

Thus the density of the object is 0.0041 g/vol

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The gravitational force on the object of masses 3.1×10²³ kg and  7.3×10⁵ kg respectively is 8.16×10⁻³ N.

Gravitational force is the most prevalent force in the universe, pulling together on any two objects with mass in the universe.

To calculate the magnitude of the gravitational force, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the gravitational force is 8.16×10⁻³ N.

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a) The ratio of the electric charge on each conductor to the potential difference (i.e., voltage) between them is used to express capacitance.

b) The area of the plates, the spacing between them, and the type of insulating material or dielectric between them are the three variables that have an impact on a parallel-plate capacitor's capacitance.

c) The area of each plate, the dielectric material separating the plates, and the distance between the plates all affect the capacitance of a parallel plate capacitor.

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The  rank of these times from left to right based on the wavelength of this photon would have at each time, from shortest to longest are:

There is a wavelength and a frequency for every photon. The distance between two electric field peaks with the same vector is known as the wavelength. The number of wavelengths a photon travels through each second is what is known as its frequency. A photon cannot truly have a color, unlike an EM wave.

Therefore, In the standard model of particle physics, the photon is a fundamental particle. It has no discernible wavelength. The table describes it as a point particle with mass 0 and spin 1.

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The charges align themselves so that the conductor's internal field is zero.

Induced charges are created on the conductor when a charge is brought close to it. The internal free charges of the conductor, however, are gathered throughout its surface because the electric field inside the conductor must be zero in order to defeat the electric field of induced charges.

A substance that has a lot of free electrons accessible for the flow of current is said to be a conductor. Since there are numerous electrons, a powerful force of repulsion exists between them as well. As a result, the electrons move to lessen their attraction for one another.

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A sort of categorized stock known as founders' shares is owned by the company's founders and typically has more voting rights per share than other classes of common stock.

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As the electrical field corresponds to amplitude; so when the frequency decreases, waves broaden and the extent of the change decreases.

When the frequency decreases, then the wavelength gets longer. There are two types of waves: mechanical and electromagnetic. Mechanical waves like sound, ocean, seismic, or earthquake travel through a solid, liquid, or gas medium whereas electromagnetic waves travel through a medium or a vacuum.

The energy equation is given as, E = hν, where E represents energy, h is Planck's constant whose value is 6.626 x 10 -34 J.s and v represents frequency. The energy equation is direct relationship between frequency and energy. As frequency increases,  energy. also increases.

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Answer:

below

Explanation:

Work = force x distance = PE gain = mgh =  4 kg * 9.81 m/s^2 * 6 = 235.44  j

Power  = work / time      ( time is in seconds)

          = 235.44 / (2*60) = 1.962 watts  

   SPECIFIC power = 1.962 w / 4 kg = .49 w/kg

In the first step of the k-means with the standard euclidean distance metric,  the mean of the observation values are assigned to the cluster.

K-means clustering is one of the commonly used clustering algorithms for partitioning observations into a set of k groups. This method tries to classify observations into mutually exclusive groups, so that observations within the same cluster are as similar as possible.

In k-clustering, each cluster is represented by its centre which corresponds to the mean of the observation values assigned to the cluster.

This implies that k-algorithm recognizes the k number of centroids.

The following required of k-means clustering are defined distance metric, number of clusters, initial guess of centroids.

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The load in the column has an eccentricity of 13.13 mm.

The column has a maximum stress of 78.72 MPa.

a)

P = 310 kN is the axial load that is applied to the column.

At the middle of the column, there is a ym = 9 mm deflection.

The column has an elasticity modulus of E = 200 GPA.

The column measures L= 6.5 m in length.

Consult the textbook's Appendix C, "Properties of Rolled-Steel Shapes."

Rolled-steel form for W25058;

7,420 mm2 is the cross-sectional area.

I = Iy = 18.7106 mm4 is the smallest moment of inertia on the y-axis.

R = ry = 50.3 mm is the smallest radius of gyration on the y-axis.

S = Sy = 185103 mm3 is the section's section modulus.

The column's length (L) and its effective length (Le) are equal (L).

Le = L= 6.5 m

Using the equation, determine the critical load (Pcr).

Pcr = π2EI(Le)2

The elastic modulus in this instance is E.

Change E to 200 GPa, I to 18.7 106 mm4, and Le to 6.5 m.

Pcr=π2 * 200 GPa * 109 N/m21 GPa * 18.7 * 106 mm4 * (1 m1,000 mm)

4(6.5)

2 = 873,665 N * 1 kN1,000 N = 873.665 kN

Using the equation, ascertain the load's eccentricity (e).

ym=e[sec(π2PPcr)−1]

The column's deflection in this instance is ym.

Change ym to 9 mm, P to 310 kN, and Pcr to 873.665 kN.

9 = e * [sec(π2310873.665) − 1]

e = 13.13 mm

As a result, the load's eccentricity within the column is 13.13 mm.

b)

P = 37 kN is the axial load applied to the rod.

P = 310 kN is the axial load that is applied to the column.

At the middle of the column, there is a ym = 9 mm deflection.

The column has an elasticity modulus of E = 200 GPA.

The column measures L= 6.5 m in length.

Consult the textbook's Appendix C, "Properties of Rolled-Steel Shapes."

Rolled-steel form for W25058;

7,420 mm2 is the cross-sectional area.

I = Iy = 18.7106 mm4 is the smallest moment of inertia on the y-axis.

R = ry = 50.3 mm is the smallest radius of gyration on the y-axis.

S = Sy = 185103 mm3 is the section's section modulus.

c)

The section's section modulus in this case is S.

Change I to 18.7106 mm4 and S to 185103 mm3.

c = 18.7 × 106185 × 103 = 101.08 mm

Using the equation, determine the highest tension in the column (max).

σmax = PA(1+ecr2sec(π2PPcr))

Replace P with 310 kN, A with 7,420 mm2, E with 13, C with 101.08 mm, R with 50.3 mm, and Pcr with 873.665 kN.

σmax = 310 kN×1,000 N1 kN7,420 mm2×(1 m1,000 mm)2(1+13.13×101.0850.32sec(π2310873.665))

=78.72×106 Pa×1 MPa106 Pa=78.72 MPa

Consequently, the column's maximum stress is 78.72 MPa.

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The maximum load (in newtons) the raft can support is  7830kg.

What is buoyancy force?

A fully or partially submerged object is subject to an upward force known as the buoyant force. Upthrust is another name for this thrust upward. A body that is partially or completely submerged in a fluid gives the impression of losing weight because of the buoyant force, or that it is lighter.

What is density?

Density Symbol: D or Formula for Density: D = m/V, where D stands for density, m for mass, and V for volume.

Buoyancy is the upward force that an object feels from the water and when compared to the weight of the object.

Buoyancy force can be calculated with the equation

Fb=Vs×D×g

where F b is the buoyancy force, V s  is the submerged volume, D is the density of the fluid the object is submerged in, and g is the force of gravity.

It can also be given as the sum of the weight of the raft and the weight of the load. That is,

W raft +W load  = Fb=Vs×D×g.

The weight of the raft

W raft=V raft Draft g.

At maximum load, Volume of water displaced is equal to volume of the raft.

max(W load )=(D water −D raft )Vraft g.

=(1020kg/m 3 −150kg/m 3 )(3m×3m×1m)g

=7830kg.

Hence, the maximum load the raft can carry sea water so that the plank just floats in water is 7830kg.

Therefore, the maximum load (in newtons) the raft can support is  7830kg.

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Distance-Related Data the distance between us and Proxima Centauri, the star closest to us, is still 40,208,000,000,000 km. Or around 268,770 AU.

Exoplanets are planets that revolve around other stars. In our solar system, every planet revolves around the Sun. Exoplanets are extremely difficult to directly observe using telescopes.

One particular planetary system a star with planets surrounding it—is our solar system. Although there are more than 3,200 other stars in our galaxy with planets around them, our solar system is the only one that is formally referred to as a "solar system."

Surprisingly, our simulations reveal that a planet does not rapidly disintegrate inside of a red giant star or even modify its orbit—in certain situations, a planet continues to circle below a red giant star's photosphere for thousands or even millions of years.

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To preserve static equilibrium in this plane, the following sets of quantities must all be zero: ∑Fx and ∑τz and ∑Fy

We can see from the question that we must demonstrate the collection of values that must be zero in order to maintain static equilibrium on the provided plane.

As a result, we can see that the set of variables that must equal zero in order to maintain static equilibrium in the given plane is composed of Fx, Fy, and τz

This is due to the fact that a system must have all of its components' forces added together to equal zero in order for it to remain in equilibrium.

Thus, To preserve static equilibrium in this plane, the following sets of quantities must all be zero: ∑Fx and ∑τz and ∑Fy

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The momentum of the dog will be 50Kgm/s.

Momentum is the product of the mass of a body and its velocity. Momentum is a vector quantity meaning it has both magnitude and direction.

From Isaac Newton’s second law of motion which states that the time rate of change of momentum is equal to the force acting on the body.

Also, according to Newton’s third law, when a force is applied on a body there is an equal and opposite reaction, so any change in the momentum of one body is balanced by an equal and opposite change of the momentum of another body. So, in the absence of any external force acting on a collection of bodies, their total momentum never changes; this is the law of conservation of momentum.

Momentum, p = mass (m) x velocity (v)

where m = 10kg

v = 5m/s

p = 10 x 5

p = 50kgm/s.

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The net power needed to change the speed of a 1600-kg sport utility vehicle from 15.0 m/s to 40.0 m/s in 4.00 seconds is 275,000Watts.

Define power?

The following informations are provided in the question,

Mass of the sport vehicle, m = 1600 kg

Initial velocity, u = 15 m/s

Final velocity, v = 40 m/s

Time required, t = 4 seconds

Using the formula  F = m(v-u)/t, we can find the force required to change the velocity of the vehicle.

Putting the values in the above equation we get,

F = 1600(40-15)/4

F = 1600(25)/4

F = 400 * 25

F = 10,000N

Therefore the required net power is calculated using the expression-

P = 1/2*F(u+v)

Putting the values of F, u and v we get net power P as,

P = 1/2(10000)*(15+40)

P = 5000(55)

P = 275,000Watts

Hence, the required power is 275,000Watts

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The Bernoulli Principle causes pressure to fall in a converging nozzle.

the properties of the fluid was changed to the following conditions they are the change in density, energy, mass.

what was nozzle mean ?

A nozzle is a spout on the end of a hose or pipe that is used to regulate the flow of a fluid such as water or air. A convergent nozzle is one that begins large and gradually becomes smaller, resulting in a decrease in cross-sectional area. Due to mass conservation, a fluid must accelerate as it enters the smaller cross-section. The fluid must travel quicker to keep a consistent amount of fluid passing through the limited part of the nozzle.

The energy required to accelerate this fluid must originate from someplace. Some energy is included in the random motion of molecules, which we perceive as pressure. This random motion's energy.

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When two diodes are connected in opposing directions, both of them will constantly be in the reverse bias state and won't conduct until they break down.

A diode is a semiconductor component that only allows one way for electricity to flow. These are the fundamental parts of semiconductors and are referred to as "active components." They are capable of keeping a steady voltage and control the flow of power.

Due to its capacity to limit electrical current flow to only one direction, diodes are utilized in circuit protection. This quality is advantageous since several electrical devices and components will break down or become damaged if current travels in the different path.

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The waves produced in string and the waves produced in the air are different from each other. The only similarity they have is that their frequencies are equal—otherwise, there's no similarity between them. One of the waves is a transverse wave which is on the wire and the other wave is a longitudinal wave which is in the air. But their velocities too are different from each other.

velocity = wavelength x frequency

if the frequency is constant

wavelength ∝ velocity

Here, in this question, the velocity is given to be 343 m/s

From the above formula, we can solve for frequency,

Frequency = velocity/wavelength

Frequency = 343*λ⁻¹

Thus, the frequency of the sound is directly commensurable (proportional) to the haste(velocity) of the sound and here it's 343 * λ ⁻¹.

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