If a 10.4kg block rests on a rough horizontal table with a coefficient or friction of u=0.15 then what is the resulting force of friction on the block ?

Answers

Answer 1

Mathematically, F is1.56 represents the resulting force of friction on the block. The Frictioval force's mathematical equation is typically represented as F is uN.

How can the force of friction be calculated?The resistive friction force (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), a numerical value. The formula fr = Fr/N is used to represent it.The block will now start to slide as P is increased continuously, with the friction force acting on the block being: f = muK*N, where muK is the coefficient of kinetic friction, and f staying constant after that as P is increased.The resistive friction force (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), a numerical value.

Explanation:

Mathematically, F=1.56 represents the resulting force of friction on the block.

The Frictioval force's mathematical equation is typically represented as F=uN.

u equals the friction coefficient.

N is normal force.

frictional force

As a result, the force of friction on the F=10.4*0.15 F=1.56

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Related Questions

What is the weight of an 11 kg crate?

Answers

When completely filled with apples, the crate weighs 15 kg; when only 2/3 full, it weighs 11 kg; and when only 1/3 full (with only 1/3 of the crate's apples), it weighs 15-11=4 kg.

What does it mean to weigh?

Definition of WEIGH in the Britannica Dictionary. She measures herself every morning in order to determine how heavy she is. 1. a [+ object]: to determine (someone or something's) weight. The bananas were weighed using a scale.

what are they Weight scales?

To quantify weight or mass, one uses a scale or balance. These are also referred to as weight balances, mass balances, and scales of both mass and weight.

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The bullet strikes a block of wood which exerts, on average, a force of 50,000 N opposing the motion of the bullet. How far does the bullet penetrate?

Answers

The distance that the bullet penetrates is 0.03m.

How to solve?

Given data:

The mass of the bullet is

m = 25 g = 0.025 kg

The bullet's initial velocity is

u = 350 m/s

The final velocity of the bullet is

v = 0

The average force opposing the motion is

F = 50000N

From Newton's second law, the acceleration derived as,

F = m. a.

a = F. m..........(1)

Substituting values in equation (1), we get:

a = 50000 N / 0.025 kg = 2×106 m/s 2

The equation of motion is,

v 2=u 2−2 a S

2 a S=u 2−v 2

S = u 2−v 2/2 a.......(2)

Substituting values in equation (2), we get:

S = (350 m/s)2−0/2(2×106 m/s 2)

 =12.25×104 m/s 4×106 m/s 2=0.03m

here, the distance that bullet penetrates is 0.03m.

What is the kinetic energy equation?

Kinetic energy has the following formula: K.E. = 1/2 m v 2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kg/m per second squared if the mass is measured in kg and the velocity is measured in meters per second.

Which 4 forms of kinetic energy are there?

Radiant, thermal, electrical, and mechanical kinetic energies are the basic categories.

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1. W= 500 Joules
t = 25 seconds
P = ?

Answers

The power is 20w when the work done is 500 joules in 25 seconds.

What is power?The amount of energy transferred or converted per unit time is referred to as power. The watt is the unit of power in the International System of Units, equal to one joule per second. In older works, power is sometimes called activity. A scalar quantity is power.Work divided by time equals power.

                  P = W / T

Another formula for power based on energy and time is :

The formula is P = E/t, where P represents power, E represents energy, and t represents time in seconds. According to this formula, power is defined as the consumption of energy per unit of time.

Here given,

W = 500 J

T = 25 sec

By substituting,

P = W/T

  = 500 / 25

  = 20w

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which of the following vectors best describes the path of the airplane? question 6 options: none of these

Answers

The following vectors best describes the path of the airplane Aniseed of the as plan is 528 [tex]\mathrm{mi} / \mathrm{hr}[/tex]

What is airplane?

A fixed-wing aircraft that is pushed forward by the thrust of a jet engine, propeller, or rocket engine is known as an aeroplane or aeroplane. There are many different sizes, forms, and wing arrangements for airplanes.

[tex]\text { bearing } 25^{\circ} \text { west of north }[/tex]

[tex]\text { Since } \quad 90^{\circ}+25^{\circ}=115^{\circ}[/tex]

[tex]\text { so path of the airplane is }[/tex]

[tex]\left.v=528 \cos \left(i 15^{\circ}\right) i+528 \sin \left(115^{\circ}\right)\right][/tex]

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again, in just a couple of sentences, briefly consider the reason for visible differences between one wavelength image's contents versus another's.

Answers

Understanding an object's structure and function requires observation at a variety of wavelengths.

We perceive at different wavelengths for what reason?

This is due to the fact that we have just lately been able to view the complete electromagnetic spectrum of the universe.There are objects in our universe that emit a wide variety of radiation having wavelengths either being too short or long for human eyes to see.

Why do astronomers capture photos using different wavelengths of light?

Astronomers can learn something distinctive about an item by examining its light at various wavelengths.Astronomers may see "the broad picture" of what's actually happening with that object by examining all available wavelengths and developing models that account for everything those photographs show.

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A 472 kg roller coaster is on top of a 12 m high hill. It starts from rest and then goes down the hill. How fast is
it going when it reaches the bottom?

Answers

The roller coaster is going with 15.34 m/s when it reaches the bottom.

What is law of conservation of energy?

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.

According to the question, potential energy of the roller coaster at initial position = mass * acceleration due to gravity* height = mgh

Let the speed of the roller coaster at the bottom = v.

So, kinetic energy at the bottom = 1/2 * mass * speed^2 = 1/2 mv^2

From conservation of energy:

mgh = 1/2mv^2

v= √( 2gh)

= √( 2 × 9.8 × 12) m/s

= 15.34 m/s.

Hence, the speed of it at the bottom is 15.34 m/s.

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a converging lens with a focal length of 20 cm and a diverging lens with a focal length of -38 cm are 78.0 cm apart. a 2.7-cm-tall object is 40 cm in front of the converging lens.

Answers

The image height for a converging lens with a 20 cm focal length and a diverging lens with a 38 cm focal length that are 78.0 cm apart is 1.35 cm. 40 cm are in front of the converging lens

And a 2.7 cm tall object is there. An optical lens that converges all light rays travelling through it is known as a converging lens. A converging lens  main function is to concentrate and converge the incoming light rays from an object to create an image. Depending on how close an object is to the lens, the image may be enlarged or unchanged.

h = (-di/do)(-di2/do2)*height

h = (-38/38)(-(-15))/30 (2.7)

h = -1.35 cm

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The complete question is-

a converging lens with a focal length of 20 cm and a diverging lens with a focal length of -38 cm are 78.0 cm apart. a 2.7-cm-tall object is 40 cm in front of the converging lens. Calculate the image height. Express your answer to two significant figures and include the appropriate units.

Approximately, ___ municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity
400

Answers

Approximately, 400 tons of municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity

What is municipal waste?

We know that municipal waste has to do with the waste products that can be obtained from the activities that go on in the city. the magnitude of the municipal waste that is generated in a place would have a lot to do with the population of the area as well as the industrial saturation of the area.

This is the reason why the areas that have less population and the industries that are there are not so much do not expirience a lot of pollution and do not have a large amount of waste water that goes out as sewage.

The solid wastes that are generated in the United States is just as large as the sewage that is generated in the united states and calls for a very urgent attention.

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Two blocks, A and B (with mass 50 kg and 100 kg, respectively), are connected by a string, as shown in Figure P5.64. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is ?k = 0.25. Determine the change in the kinetic energy of block A as it moves from C to D, a distance of 15 m up the incline if the system starts from rest. ____J

Answers

The change in the kinetic energy of block A is 1,837.5 J.

What is the change in the kinetic energy of the block?

The change in the kinetic energy of the blocks as it moves through the given distance is the work done in overcoming the force of friction.

Based on the law of conservation of energy, the equation is given as;

ΔK.E = W (f)

Where;

ΔK.E is the change in kinetic energyW (f) is the work done by force of friction

W (f) = μmgd

where;

μ is the coefficient of friction between block and the inclinem is the mass of block Ag is acceleration due to gravityd is the distance travelled by block A

The change in the kinetic energy of the block A is calculated as follows;

W (f) = μmgd

W (f) = 0.25 x 50 x 9.8 x 15

W (f) = 1,837.5 J

Thus, the change in the kinetic energy of block A is a function of work done by force of friction along the incline.

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An alien spaceship traveling at 0.550c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.790c relative to the mother ship (as measured by aliens on the mother ship). As measured on the Earth, the spaceship is 0.160 ly from the Earth when the landing craft is launched.
(a) What speed do the Earth-based observers measure for the approaching landing craft?
c
(b) What is the distance to the Earth at the moment of the landing craft's launch as measured by the aliens (mother ship)?
ly
(c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship?
yr
(d*) What travel time is required for the landing craft to reach the Earth as measured by Earth-based observers?
yr
(e*) What travel time is required for the landing craft to reach the Earth as measured by those on the landing craft?
yr

Answers

(a)The velocity (Xv) of the craft as measured from the earth is given as follows:

Vx = v¹x+v/1+( v¹x+v/c²) = 0.79∝ + 0.550c/1+(0.79c)(0.550c)

= Vx = 0.434c

Hence Vx is the velocity of the craft with respect to the mother ship and the velocity of the mother ship with respect to earth.

(b) distance between craft and earth, as measured by the mother ship as follows.

[tex]L0 = \sqrt[L]{\frac{1-V^{2} }{C^{2} } } = (0.160ly)\sqrt{1-(\frac{0.550}{c})^{2} }[/tex]

L0 = 0.1336ly.

(c)The velocity of craft with respect to earth as measured from the mother ship is as follows:

VCO = Vcmt + Vme

= 0.790 + 0.550 = 1.34c

Time taken by craft to land on earth as measured by the mother ship is as follows:

t =  0.1336ly/1.34 =  0.0997yr

(d) Time taken by craft to reach earth as measured from the earth is as follows:

t = 0.60ly/0.934c

t = 0.171yr

(e) Time taken by the craft to reach earth with respect to its rest frame is as follows:

to =[tex]\sqrt[t]{1-\frac{v^{2} }{c^{2} } }[/tex]

= 0.171 yr [tex]\sqrt{1-\frac{(0.934c)^{2} }{c^{2} } }[/tex]

to = 0.0610yr

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the bitewing tab is a heavy paperboard tab or loop fitted around a periapical film or sensor and used to stabilize the receptor during exposure. (2) the periapical receptor is oriented in the bite loop so that the tab portion extends from the white side (tube side) of the film or sensor.

Answers

the bitewing tab is a heavy paperboard tab or loop fitted around a periapical film or sensor and used to stabilize the receptor during exposure. true

What is stabilize?

to stop changing and fix something, especially to prevent it from getting worse, or to induce something to stop changing and fix it: These drugs reduce blood pressure and calm your heart rate.

the periapical receptor is oriented in the bite loop so that the tab portion extends from the white side (tube side) of the film or sensor.True

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a rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95a , is oriented with the plane of its loop perpendicular to a uniform 1.50 t magnetic field

Answers

If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Torque will likewise be 0 at that point.

Given that, a rectangular coil of wire, 22 cm by 35 cm and carrying a current of 1.95 A, is oriented with the plane of its loop perpendicular to a uniform 1.50 T magnetic field.

The strength of magnetic torque on the current-carrying circle is given by the below formula, if θ is the angle between A and B. Then we have

τ = I AB sin θ

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0°

Then we have,

τ = I AB sin 0° = 0

The question is incomplete. The complete question is 'Find out the torque in the coil.'

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which of the following observations indicates that conditions on mars may have been suitable for life in the past?

Answers

Answer:

Liquid water one flowed on mars,the existence of nutrients,and the previous discovery of a past magnetic field that protected the planet from cosmic and solar radiation.

(a) Find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following. x = (0.225 m) cos ???? 8.00 t A = m f = Hz T = s (b) Find the maximum magnitude of the velocity and acceleration. vmax = m/s amax = m/s2 (c) What are the position, velocity, and acceleration of the object after 1.45 s has elapsed? x = m v = m/s a = m/s2

Answers

When a function p(x) determines location, the velocity and acceleration are its first and second derivatives, respectively.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included. The speed and direction of an object's motion are its velocity. Alternatively put, velocity is the pace at which an object's position changes (where position incorporates direction by specifying whether the object is moving backwards or forwards on a line, or moving sideways or up and down in two or three dimensions).

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a concentration of 400 ppm is the safe soil lead concentration threshold. the scientist used method a and found the soil sample had a lead concentration of 1358 ppm. write a conclusion about the lead concentrations in this sample of soil. in your conclusion include one recommendation from the table.

Answers

The lead pollution can be remediated by the appllication of the approppiate reagents.

What is the recommendation?

We know that we need to always consider the threshold concentration of pollution as we are looking at the safety of the environment

Now we are told that the safe concentration of the lead must not be more than 400 ppm. Above that concentration, the effects may be quiet fatal.

There should be spirited attempts to remediate the soil by the use different methods so that the soil can become good again for the growing of crops.

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The elevator descends with an acceleration of 0.9 m/s². Find how much a 95 kg person weighs in it at the moment of descent. ​

Answers

Refer to the photo attached.

the activation energy of the forward reaction is equal to the sum of the activation energy for the reverse reaction and the enthalpy change for the forward reaction.

Answers

No, the activation energy for a forward reaction is not equal to the activation energy for the reverse of the same reaction.

In order for compounds to undergo a chemical reaction, a certain amount of energy is required, known as the activation energy. The unit of measurement for a reaction's activation energy (Ea) is either joules per mole (J/mol), kilojoules per mole (kJ/mol), or kilocalories per mole (kcal/mol). You can think of activation energy as the size of the potential barrier between the minima of the potential energy surface related to the initial and final thermodynamic states, which is also referred to as the energy barrier. If the system temperature is high enough, there should be a sizable number of molecules with translational energies that are equal to or higher than the activation energies.

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in 1.8 hours a sailboat sailed 81 kilometers east across the sea at a constant velocity. what was the sailboats velocity?

Answers

The velocity of the sailboats at sailed a distance of 81 km is 12.5 m/s.

What is velocity?

Velocity is the rate of change of displacement.

To calculate the velocity of the sailboats, we use the formula below.

Formula:

v = d/t................. Equation 1

Where:

v = Velocity of the sailboatsd = Distancet = Time

From the question,

Given:

d = 81 km = 81000 mt = 1.8 hours = 1.8×60×60 = 6480 s

Substitute these values into equation 1

v = 81000/6480v = 12.5 m/s

Hence, the velocity is 12.5 m/s.

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On a baseball field, first base is about 30 m away from home plate and second base is 30 m away from first base. A batter gets a hit and makes it to second base. What is the hitters final displacement from home plate?

Answers

The hitters final displacement from home plate is 60 m.

What is displacement?

The displacement of an object is the change in the position of the object.

The displacement of an object is determined from the shortest distance between the initial position and the final position of an object.

The hitters final displacement from home plate is calculated as follows;

Δx = x₁ - x₂

where;

x₁ is the initial position x₂ is the final position

Δx = x₁ - x₂

Δx = 30 m  - ( - 30 m)

Δx = 30 m + 30 m

Δx =  60 m

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Match the astronomical distance measuring techniques with their approximate ranges: Triangulation. distances up to about 1000 light years.

Answers

Spectroscopy. distances up to about 10,000 light years.

What is astronomical distance?

Astronomical distance is the measurement of space between objects in the universe. It is usually measured in light years, which is the distance light travels in a year. Astronomical distance is incredibly vast and hard to comprehend, as it is measured in trillions of miles. Astronomical distance is used to measure distances between objects in the universe such as stars, galaxies, and planets. Astronomical distances are also used to measure the size of the universe, as well as the age of galaxies and stars. Astronomical distances can be measured using advanced instruments such as telescopes and spectroscopes. Astronomical distances are essential for understanding the structure of the universe and the evolution of galaxies and stars.

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g draw shear force and bending moment diagrams of the below beam. make sure to include/show all necessary values on the diagrams and the way that you calculate them

Answers

The maximum absolute values of the shear and bending moment is 2P and 3Pₐ respectively.

(a) Diagram is shown in image.

From A to B:

+∑Fy = 0: V = -P

+∑M₁ = 0: M = -P

From B to C:

+∑Fy = 0:

-P-P-V = 0

⇒ V = -2P

+∑M₂ = 0:

Pₓ+P(x - a)+M =0

⇒ M = -2Pₓ + Pₐ

(b) The maximum bending moment occurs in a beam, when the shear force at the section is zero or changes the sign because at point of contra fixture the bending moment is zero.

Therefore

= |V|max = 2P

= |M|max = 3Pₐ

Thus, the maximum absolute values of the shear and beading moment is 2P and 3Pₐ.

-- The given question is incomplete, I answer the question in general according to my knowledge and the complete question is

"For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment." --

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If a conductor is in electrostatic equilibrium near an electrical charge:A) The total charge on the conductor must be zero.B) The electric field inside the conductor must be zero.C) The charges on the conductor must be uniformly distributed.D) The sum of all forces between conductor and the electrical charge must be zero.

Answers

If a conductor is in electrostatic equilibrium near an electrical charge i.e. the correct option is, B) The electric field inside the conductor must be zero.

Because charge carriers can freely move within a conductor, when a charged or uncharged conductor is exposed to an external electric field, charge will flow until a steady state is reached, at which point the net flow of charge will cease. This state is known as electrostatic equilibrium. If the conductor is charged, the charges within it are rearranged, resulting in a zero net electric field inside the conductor. The net field inside the conductor again becomes zero if the conductor is polarized after being neutral.A neutral or charged conductor will typically achieve electrostatic equilibrium with a net zero electric field inside of it when it is kept close to an electric charge.

The conductor in electrostatic equilibrium has characteristics such as a zero electric field inside and excess charges that are located on the surface. Therefore, the conductor's internal electric field must be zero.

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In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.105 T magnetic field. 50% Part (a) What electric field strength, in volts per meter, is needed to select a speed of 3.9 x 10 m/s? Grade Summary Deductions 090 Potential 100% sino cos tan) cotan asino acos atan) acotan sinho cosho tanho) cotanho Degrees Radians 7 8 9 E4 5 6 1 2 3 0. VOCAL Submissions Attempts remaining 20 per attempt) detailed view Submit Hint French I give up! Hints: O deduction per hint. Hints remaining 2 Feedback: deduction per feedback 50% Part (b) What is the voltage, in kilovolts, between the plates if they are separated by 0.95 cm?

Answers

The electric field strength in volts per meter is calculated to be 4.095 V/m.

Given that, speed v = 3.9 * 10 m/s

Magnetic field B = 0.105 T

Using the mass spectrometer velocity selector relationship between the electric field and magnetic field is,

v = E/B

Where,

v is the speed selector

B is magnetic field

E is electric field

Therefore, E = vB

E = 3.9 × 10 × 0.105

E = 4.095 V/m

Thus, electric field E is 4.095 V/m.

The question is incomplete. The complete question is 'What is the electric field strength in volts per meter?'

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a 1.0kg block and a 2.0 kg block are pressed together and both are on a horizontal fricitionless surface with a compressed light spring between them concerning the states of the two blocks after they are released and detached from the spring which of the following statements is correct

Answers

The spring and pan have very little mass. The mass executes a SHM when it is lightly squeezed and then released.

Forces, location, velocity, and energy—both kinetic and potential energy—are some examples of these quantities. Hoare's Rule. Energy conservation: When the compressed spring returns to its natural length, all of the energy that was stored in it is transformed into kinetic energy. The block is propelled along a horizontal surface as the spring is let go. Friction and the spring's bulk can be disregarded. Between two blocks with masses of 1 kg and 2 kg that are lying on a smooth horizontal surface is a compressed elastic spring. The block is freed from rest once the spring has been compressed by 2.0 cm.

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landings at the top and bottom of stairs should be at least equal in length to the of the stairway.

Answers

In cases when the stairway is straight, the width of the landing in the direction of travel must at least match the stair's width and cannot be greater than 1219mm.

The four main axes are north, south, east, and west. A map is a representation or drawing of the entire or a portion of the surface of the earth done to scale and on a flat surface. A spherical shape, however, cannot be totally flattened. Distance, direction, and symbol are the three elements that make up a map.

Most maps have an arrow with the letter "N" on them in the upper right-hand corner. North is indicated by this arrow's orientation. It is referred to as the north line. You can determine which direction is east, west, or south once you know which way is north. The four main axes are North, South, East, and West. ​

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If a cable originates inside one building and leaves the building, the landlord loses control of that cable. T or F?

Answers

It is true to say that If a cable originates inside one building and leaves the building, the landlord loses control of that cable.

Cable originating from one building to another building will have total control by the landlord from which the cable have passed. Since cable passes from one building to another building in that case some part of cable is not inside the building due to that control over the cable is distributed between more than one type of landlords .Worms can be spread through means other than direct network .Now, when it passed between the two building, in that case if one landlord did some changes in some part of cable then that change will not be controlled by the landlord who live in other building.

Hence, given statement is true.

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Two blocks on a surface of negligible friction are attached together by a spring, as shown in the figure above. The mass of block 1 is MM, and the mass of block 2 is 2M. Block 1 is initially moving toward block 2, which is at rest. The spring compresses and decompresses in a repeated motion as the two blocks slide to the right. Which of the following statements best describes the speed of the center of mass of the two-block system?

Answers

In the absence of an external force, the total linear momentum of the system maintains conservation, indicating that the speed of the system's center of mass is constant.

This is because the spring force between the masses acts as an internal force between the two masses.

The product of an object's mass, m, and velocity, v, is known as linear momentum, and it is a vector quantity. In order to express it and refer to momentum informally, the letter "p" is utilized. You should be aware that a body's momentum always points in the same direction as its velocity vector. Because it is a conserved quantity, the overall momentum of a system is always constant. Linear momentum is measured in kg/s.

The total linear momentum prior to an object's interaction and the total linear momentum following that interaction is identical. Any system of objects that is subject to no net external force has a constant total linear momentum.

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after extinguishing a fire on the first floor of a two-story balloon-framed house, the best action for crews is to immediately open the walls and check for fire in the:

Answers

After extinguishing a fire on the first floor of a two-story balloon-framed house, the best action for crews is to immediately open the walls and check for fire in the basement, second floor, and attic.

The vertical struts of the outer wall are continuous from the foundation to the roof with a balloon frame structure. When the roof collapses into a structure, it can provide a watertight cover over a buried fire. Heavy wood is more stable than lightweight structures in fire conditions.

Marion of the building is surrounded by balloons, from the foundation to the eaves line he extends upwards more than two stories. A mansard or mansard roof is his four-sided gambrel-style hipped roof characterized by his two slopes on either side, the lower slope pierced with dormer windows and angled more steeply than the upper.

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find the amplitude, frequency, and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is the following.

Answers

The amplitude is 0.25s.

Calculation:

Amplitude = A = 0.225 m

Angular frequency = w = 8π rad/s.

Frequency = f = w/2π = 8π/2πHZ = 4 HZ

Time period = T = 1/f = (1/4)s = 0.25s.

The maximum displacement or distance traveled by a point on an oscillating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. Amplitude difference between a rest position and maximum shaft deflection.

Frequency The number of waves passing a particular point per second. Duration  How long it takes for a wave cycle to complete. Sound wave amplitude is a measure of wave height. The amplitude of a sound wave can be defined as the magnitude or loudness of the maximum displacement from the average position of the vibrating particles in the medium when the sound was produced.

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An electromagnetic wave travelling in the x-direction has frequency of 2×10 14 Hz and electric field amplitude of 27 Vm −1. From the options given below, which one describes the magnetic field for this wave?

Answers

The magnetic field for this wave is

[tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].

Electromagnetic Wave:

The oscillations between an electric field and a magnetic field produce waves known as electromagnetic waves or EM waves. In other words, magnetic and electric fields oscillate to form electromagnetic (EM) waves.

Given,

         Frequency of the wave;  [tex]f=[/tex] [tex]2*10^{14} Hz[/tex]

         The amplitude of the Electric Field;  [tex]E_{0} = 27 N/C[/tex]

We know that Maxwell's equation is given by,

                                      [tex]\frac{E_{0} }{B_0} =c[/tex]        .....................(1)

Where,

         [tex]E_{0} =[/tex] The amplitude of the electric field

         [tex]B_{0}=[/tex] The amplitude of the magnetic field

            [tex]c=[/tex] The velocity of light = [tex]3*10^{8} N/m^{2}[/tex]

By solving equation (1), we get

                                     [tex]B_{0} =\frac{27}{3*10^{8} }[/tex]

                                      [tex]B_{0}=9*10^{-8}[/tex]

We know that,

         Angular frequency; ω [tex]= 2\pi f[/tex]

The equation of the magnetic field can be given by

                  [tex]B_{0}sin(kx-\omega t) =B_{0}sin(2\pi (\frac{x}{\lambda}-ft ))[/tex]

                  [tex]B_{0}sin(kx-\omega t)=9*10^{-8} sin(2\pi (\frac{x}{\lambda}-2*10^{14} t))[/tex].

Hence,

         The magnetic field for this wave is

                        [tex]B(x, t)=(9*10^{-8}T )i sin[2\pi (1.5*10^{-8}x-2*10^{14}t )][/tex].

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