shinji presses a book between his hands as the picture indicates. the forces he exerts are perpendicular to the covers of the book. the book weighs 46 n. the coefficient of static friction between his hands and the book is 0.25. what is the minimum force that each hand must exert in order to keep the book from falling?

Answers

Answer 1

The normal force between the books = 46 N

The static friction coefficient = 0.25

Friction occurs when trying to move an object at rest on a surface without actually causing relative motion between the object and the surface on which it rests.

The force of the static friction can be found using the formula,

           F = μ x N

where F is the force of the static friction

          μ is the static friction coefficient and

          N is the normal force

Let us substitute the known values in the above equation, we get

     

       F = 0.25 x 46

          = 11.5 N

Therefore, the force of the static friction is 11.5 N

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Related Questions

the block is pulled to a posi- tion xi 5 5.00 cm to the right of equilibrium and released from rest. find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is mk 5 0.350.

Answers

Speed the block has as it passes through equilibrium if  the horizontal surface is frictionless is 0.79 m/s and if the surface is with friction then the speed is 0.53 m/s.

Friction is the resistance to motion of one object moving relative to another. There are two main types of friction, static and kinetic friction.

Given mass of the block m = 2.00 kg and

The force constant k = 500 N/m

The block is pulled to a position of x, = 5.00 cm = 0.05 m

a) Hence the potential energy stored in the block is

U = 1/2Kx^2 =. = 0.625 J

as the surface is frictionless, hence the potential energy changes into kinetic energy

And is given by

1/2mv² = 0.625 J

Given mass of the block is m = 2.00 kg

Hence, 1/2(2.00)v² = 0.625

v=0.79 m/s

b) Now when the surface is with friction,

Then the amount of work done in over coming the friction is

W=umgx=(0.35) (2.00)(9.8) (0.05) = 0.343 J

Hence the loss in energy from the potential energy is

ΔU = U-W= 0.625 J - 0.343 J = 0.282 J

Hence this energy is converted into the kinetic energy of the block

Hence 1/2 mv^2 = 0.282 J

v=0.53 m/s

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in a single-slit experiment, the slit width is 190 times the wavelength of the light. part a what is the width (in mm) of the central maximum on a screen 1.4 m behind the slit?

Answers

The width (in mm) of the central maximum on a screen 1.4 m behind the slit =  0.014 mm.

Diffraction of light

Diffraction of light on a single slit will produce maximum interference from the slit if the path difference between the light coming is:

(2n+1) ½ λ

Maximum interference if the difference in the paths taken by light from adjacent slits is equal to an integer multiple times the wavelength or also an even number times the half wave.

To determine the width from the maximum center on the screen behind the slit. use the equation:

Ym = mλD/a

We have,

a = 190 λ

So,

Y₁ = (1)λ (1.4) / 190 λ

= 0.007 m

And, width of the central maximum can be determined as:

Wc = 2Y₁

= 2 (0.007)

= 0.014 mm

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locate the centroid of the plane area shown

Answers

The centroid of the plane area is X = 175 .6mm and Y = 94.4 mm

A1 = 6300 , 9000

∑ = 15300

x = 105 ,225

y = 15,150

xA1 = 0.66150 × [tex]10^{6}[/tex]

xA1 = 2.0250  × [tex]10^{6}[/tex]

∑ = 2.6865  × [tex]10^{6}[/tex]

yA1 = 0.09450  × [tex]10^{6}[/tex]  

yA1 = 1.35000  × [tex]10^{6}[/tex]

∑  = 1.44450  × [tex]10^{6}[/tex]

Then,

∑xA / ∑A = 2.6865  × [tex]10^{6}[/tex] / 15300 = 175.6mm

∑yA / ∑A = 1.44450  × [tex]10^{6}[/tex] / 15300 = 94.4 mm

The center of the thing is represented by the centroid. The centroid of a triangle is the location where the triangle's three medians cross. The junction of all three medians is another definition of it. You can think of an area's centroid as its geometric center. The centroid is frequently identified by the letter "C," with the coordinates x and y standing for the average x and y coordinate for the region. When a lamina is balanced on a needle, that point is known as the centroid. A solid's centroid is the location where it would "balance."

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A mountain climbing expedition establishes a base camp and two intermediate camps, A and B. Camp A is 11,200 m east of and 3,200 m above base camp. Camp B is 8,400 m east of and 1,700 m higher than Camp A. Determine the displacement between base camp and Camp B.

Drawing: Math: Resultant:​

Answers

Answer:  3275.7 m

Explanation:

displacement in x direction:  11200 - 8400 = 2800

displacement in y direction:  1700

displacement A - B:

[tex]\sqrt{2800^{2} + 1700^{2} }[/tex] = 3275.7

Suppose you have a tug of war with a friend who is the same size and weight as you are. You both pull as hard as you can, but neither of you seems to be winning. You move a little one way or the other, but mostly you are just at rest (although sweating some). Compare the magnitude of the force exerted by you on your friend, with the magnitude of the force exerted by your friend on you. Are they the same or different? If they are not the same, which is larger? Why or why not?

Answers

The magnitude of the force exerted by you on your friend is equal to the magnitude of the force exerted by your friend on you.

The information given to us is the you have a tug-of-war with a friend who is the same size and weight as you are. we both pull as hard as we can, but neither of you seems to be winning. You move a little one way or the other, but mostly you are just at rest (although sweating some). The magnitude of the force exerted by you on your friend is equal to the magnitude of the force exerted by your friend on you. This is because of newton's third law of motion that, forces are always equal and opposite, so when you pull on your friend, they pull back on you with an equal and opposite force. Therefore, both forces are the same.

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Part A Calculate a net energy that the proton-proton cycle yields. H+ H+ H+et + v (0.42 MeV) H+H+ He + y (5.49MeV) He + He + He +2 H (12.86MeV) PHI ΑΣΦ . ? Enet = 24.76 MeV Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining

Answers

Four hydrogen nuclei (protons) are united to generate one helium nucleus in a proton-proton chain. 0.7 percent of the original mass is lost, primarily as heat energy, though some energy escapes in the form of neutrinos (v)

What is the outcome of the Sun's proton-proton cycle?

Protons, which are just solitary hydrogen nuclei, are the starting point of this process inside the Sun. After a series of processes, these protons fuse together to form helium. This fusion process takes place inside the Sun's core, and the transformation produces an energy release that keeps the sun warm.

In the proton-proton cycle, which isotopes are created?

The following reactions make up the main branch of the PP chain: A positron, a neutrino, and a mass-2 isotope of hydrogen are produced by the simultaneous fusion and beta decay of two mass-1 hydrogen isotopes (deuterium).

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a styrofoam cylinder, filled with water, sits on a table. you then poke a small hole through the side of the cylinder, 20 cm below the top of the water surface. what is the speed of the fluid emerging from the hole?

Answers

2 m/s is the speed of the fluid emerging from the hole.

What is Bernoulli principle?

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. This is the topic of fluid dynamics.

The equation for Bernoulli's principle is

Energy per unit volume before= energy per unit volume after

P1+1/2pv1²+pgh1=P2+1/2pv2²+pgh2

Calculation:

pv1²/2+pgh1+p1=pv2²/2+pgh2+p2

Since v=0, h2=0 and p1=p2, we get

pgh1=pv2²/2

v2= √2gh1=√2.98m/s²×0.2m

v2=2m/s

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what fundamental fact underlies the operation of essentially all electric motors ? * 1 point a)opposite electric charges attract and like charges repel b)a current-carrying conductor placed perpendicular to a magnetic field will experience a force. c)iron is the only element that is magnet d) a magnetic north pole carries a positive electric charge and a magnetic south pole carries a negative electric charge

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Fundamental fact underlying the operation of essentially all electric motors is b) current-carrying conductor placed perpendicular to magnetic field will experiences a force.

What is the operation of electric motors?

Electric motors operate using principles of electromagnetism, which shows that force is applied when electric current is present in the magnetic field. This force creates a torque on a loop of wire in the magnetic field, that causes the spinning and perform useful work.

An electric motor converts electrical energy into physical movement and electric motors produces magnetic fields with electric current through a coil. The simple motor uses a coil that is a temporary electromagnet.

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An amateur golfer tees off on the eighteenth hole with her hybrid driver club into a mild headwind breeze with 8.19 N of resistance. The golf ball with a mass of 0.045 kg accelerates 3.01 m/s2 through the fluid resistance of the wind. Calculate the force of the swing.

Answers

The force of the swing is 8.33 N.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Given that:  fluid resistance of the wind = 8.19 N.

The golf ball with a mass of 0.045 kg accelerates 3.01 m/s^2 through the fluid resistance of the wind.

Let  the force of the swing is F.

Now, from Newton's 2nd law of motion:

ΣF = ma

⇒ F - 8.19 = 0.045×3.01

⇒ F = 8.33 N.

Hence,  the force of the swing is 8.33 N.

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Can someone help with this

Answers

The mass (in Kg) of the elevator, given that it is moving with a constant speed of 2 m/s is 600 Kg

How do I determine the mass of the elevator?

We'll begin by obtaining the force. This can be obtained as illustrated below:

Power = 12000 WVelocity = 2 m/sForce =?

Power = Force × Velocity

12000 = Force × 2

Divide both sides by 2

Force = 12000 / 2

Force = 6000 N

Finally, we shall determine the mass of the elevator. This can be obtaiend as follow:

Force = 6000 NAcceleration due to gravity (g) = 10 m/s² Mass =?

Force = Mass × acceleration due to gravity

6000 = Mass × 10

Divide both sides by 10

Mass = 6000 / 10

Mass = 600 Kg

Thus, the mass of the elevator is 600 Kg.

None of the options are correct.

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Match the examples of types of learning to the term for that type of learning Habituation A. The first time you went to a party at your friends' house you weren't sure if you had to take your shoes off when you entered or not so you looked at what other people were doing and imitated them. Sensitization Phase-specific learning B. Your friend is driving and did not put their seatbelt on so the car is beeping at them. You are becoming increasingly annoyed by the beeping sound. Classical conditioning C. You typically eat popcorn while watching Netflix. You ran out of popcorn and noticed that when you started watching Netflix, you were hungry and craving popcorn Operant conditioning Observational learning D. You enjoy spending time on social media but need to study more, so you made a plan to allow yourself to spend 15 minutes on social media for every hour you study. Your studying increased as a result of this plan E. When geese are born they learn to follow the first large moving object they see F. Your smoke detector battery died 20 minutes ago so the smoke detector has been beeping. You no longer notice it though.

Answers

A.observational learning B.sensitization  C.classical conditioning D.operant conditioning.

Habituation is a sort of learning, right?

A non-associative learning process known as habituation occurs when a stimulus is presented repeatedly or for an extended period of time and results in a decrease in the innate (quasi) response to that stimulus.

What are the three different types of psychological learning?

Classical and operant conditioning, operant, and learning theory are the three main categories of learning.Associative learning refers to the process of creating associations between related events, and both classical & operant conditioning fall under this category.

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What is the industry versus inferiority stage?

Answers

Industry versus Inferiority is the stage in which children enter into the greater society beyond the family for the first time.

The moment where children first leave the household and join the larger community is known as Industry versus Inferiority. They can establish a valuable social role to contribute to society if they are successful in getting through this stage. They will develop into productive and helpful members of society as a whole. If they fail at this stage, they could have low self-esteem that leads to a feeling of inferiority, in which they see themselves as unproductive and perhaps not completely helpful members of society. Erik Erikson's (1950) phases of development are a series of steps that people must do in order to successfully advance to the next stage and reach higher degrees of healthy development. Industry makes up the fourth stage.

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identify the system that has failed and determine a corrective action to return the airplane to straight-and-level flight.

Answers

The static, pitot system is blocked lower the nose and leveling the wings to level-flight attitude by use of an attitude indicator.

Pilot and co-pilot life jackets are separate systems. The screens can be toggled on either side but if for some reason both fail the pilot with the working screens may take over control. seat and buckle up. Please fasten your seat belt when the seat belt sign is on and when you are seated.

Switch on airplane mode or turn off your electronic devices after closing the aircraft door. It uses the gyroscopic principle to provide information about the aircraft's attitude in flight. All first three points must be completed or at least started within seconds.

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. All of the following are major body tissue types except a. Epithelial tissue. b. Lymphatic tissue c. Connective tissue. d. Nervous tissue Submit

Answers

All of the following are major body tissue types except Lymphatic tissue.

What is tissue?

Tissue is the mass of the cell of body of human.

The lymphatic system is an extensive network of vessels, nodes, and ducts that pass through almost all bodily tissues. It allows the circulation of a fluid called lymph through the body in a similar way to blood.

The lymphatic system is a network of vessels, nodes, and ducts that collect and circulate excess fluid  in the body.

The lymphatic system is part of the immune system. It also maintains fluid balance and plays a role in absorbing fats and fat-soluble nutrients.

The lymphatic system drains excess fluid that accumulates in bodily tissue, filters out foreign bodies, and transports it back into the bloodstream.

Failures of the lymphatic system can cause swelling, venous dysfunction, and life threatening complications.

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Which action can help slow down the process of chemical weathering?(1 point)

using less water in industrial areas

removing iron oxide to avoid breaking down rocks

removing clay to avoid weakening rocks

burning less fossil fuel

Answers

Answer: burning less fossil fuel

Explanation: I did the quick check and it was right :)

93. High biological value proteins are classified as A_ complete proteins. B_ plant-based proteins C essential amino acids_ D free-form amino acids_

Answers

Essential amino acids are high biological value proteins (option C).

Biological value proteins

Biological value is the ratio between the amount of amino acids that can be retained (retention) by the body (for body protein synthesis) with the amount of amino acids that can be absorbed by the small intestine.

The quality of protein is determined by the type and proportion of amino acids it contains. Proteins with high biological value or high quality are proteins that contain all types of essential amino acids suitable for growth.

Proteins that are easily digested (hydrolyzed) by digestive enzymes, and contain complete and balanced amounts of essential amino acids (according to the body's needs), are proteins of high nutritional value.

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The equation x = x0 + vt describes position as a function of time when an object moves with constant velocity. If this equation is plotted with x on the vertical axis and t on the horizontal axis, the slope of the graph is represented by ________ and the vertical-axis intercept is represented by ________.

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The vertical axis intercept is denoted by Xo, and the graph's slope is denoted by V. When an item moves at a constant speed, the location is described as a function of time by the equation x = x0 + vt.

When a particle crosses an equal linear path at regular intervals, the result is what is known as constant velocity. Additionally, you may define uniform velocity as a particle travelling in a straight path at a constant speed. In other words, the particle will follow an equal linear path and at equal times. If x and t are the axes on a graph of this equation, the result will be. analytical geometry

X = Xo + Vt slope, tan(tetha) = X/Xo / v = v

The vertical axis intercept means Xo

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Placement of elements in a composition controls ________ and creates multiple focal points.

Answers

The arrangement of the composition's elements determines the rhythm and produces a variety of focal points.

What methods does an artist employ to deflect focus from a certain area of a composition?The employment of emphasis to detract attention from a certain area of a composition is known as subordination. A great illustration of subordination is Landscape with the Fall of Icarus by Pieter Bruegel the Elder.Along with unity, proportion, focus, and rhythm, balance serves as one of the organizing principles for the structural elements of art and design.Three aspects of art—color, value, and texture—can be used to emphasize a point through contrast. The viewer is more likely to notice texture when it is used sparingly or when a bright object is placed against a dark background.

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A piece of putty moving with 2 units of momentum strikes and sticks to a heavy bowling ball that is initially at rest. After the putty sticks to the ball, both are set in motion with a combined momentum that is.

Answers

Following the putty's adhesion to a ball, both are propelled forward by the combined momentum of two units.

What is meant by momentum in physics?

Momentum was defined as the amount the the body's motion. As momentum depends on both velocity and the direction of a body's motion, it is quantified by "mass velocity". Since velocity is indeed a vector and mass is a scalar, momentum is a vector. Mass times speed equals momentum.

What is momentum in real life?

Quantity may be assessed in the this scenario since a moving item has mass and momentum. If such an object is stationary, it has no momentum.

Briefing:

The system's momentum is conserved in this instance of an inelastic collision.

Here, the principle of momentum conservation will be applied.

As either a result, following a collision, the combined momentum will equal the initial momentum. The answer "2 units" is the one that is right.

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7. the mass of a nucleus is 11.99671 amu. the mass of proton is 1.00728 amu. the mass of a neutron is 1.00867 amu. a) calculate the mass defect for a carbon-12 atom in kg/nucleus (1 amu

Answers

The mass defect for a carbon-12 atom is 0.1655 x [tex]10^{-27}[/tex] kg/nucleus.

The mass defect is the difference between the actual atomic mass and the predicted mass calculated by adding the mass of protons and neutrons present in the nucleus.

The actual atomic mass is less than the predicted mass calculated by adding the masses of the nucleons. This additional mass is due to the binding energy that is released when the nucleus forms. When a nucleus is formed, some of the matter is converted into energy and this results in the disorder of matter called as mass defect.

Number of protons= 6

Number of neutrons = 6

Mass of all the 6 protons = 6 × 1.00728 = 6.04368  amu

Mass of all 6 neutrons= 6 × 1.008665 = 6.05199 amu

Predicted mass of protons and neutrons in C-12 nucleus = 6.04368 amu + 6.05199 amu = 12.0956 amu

Actual mass of C-12nucleus = 11.99671 amu

Therefore mass defect of C-12 nucleus = 12.0956 amu - 11.99671  amu = 0.09889 amu.

1 amu = 1.67377 x [tex]10^{-27}[/tex] kg/nucleus

0.09889 = 0.1655 x [tex]10^{-27}[/tex] kg/nucleus

The mass defect for a carbon-12 atom 0.1655 x [tex]10^{-27}[/tex] kg/nucleus.

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A person is lung pressure as recorded by a mercury manometer is 90mmHg . express this pressure in SL units​

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When we convert 90 mmHg of presure to it's SI units, the result obtained is 11999 Pa

How do I convert 90 mmHg to SI unit of pressure?

To convert 90 mmHg to SI unit of pressure, must bear in the mind the SI unit of pressure.

From the system of international (SI) unit, we understood that the SI unit of pressure is Pascal (Pa)

Now, we shall convert 90 mmHg to SI unit of pressure (i.e Pascal) as illustrated below:

Pressure (in mmHg) = 90 mmHgPressure (in Pascal) = ?

From conversion identities,

760 mmHg = 101325 Pa

Therefore,

90 mmHg = (90 mmHg × 101325 Pa) / 760 mmHg

90 mmHg = 11999 Pa

Thus, we can conclude that 90 mmHg to SI unit of pressure is 11999 Pa

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a student rolls two balls off of a table. ball a has twice the mass of ball b. both balls leave the table with the same starting velocity. which ball will land further away from the table? (air resistance is negligible.)

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Student rolls two balls off of a table and ball A has twice the mass of ball B. Both balls leave the table with the same starting velocity, then they will land the same distance away from the table.

What is projectile motion?

Projectile motion is a form of motion experienced by an object that is projected in gravitational field and moves along a curved path under the action of gravity only.

Projectile motion can be said as the motion of an object thrown or projected into the air and subject to only the acceleration of gravity. The object is known as a projectile and its path is called trajectory.

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A typical flashlight battery will produce a 0.50-A current for about 3 h before losing its charge.

Determine the total number of electrons that have moved past a cross section of wire connecting the battery and lightbulb.

Express your answer using two significant figures.

Answers

A typical flashlight battery will produce a 0.50-A current for about 3 h before losing its charge.The number of electron is: 3.4 × 1O²²

What is flashlight battery?

Traditional flashlights emit light from an incandescent bulb that is powered by a battery. Battery current warms the filament wire within the light bulb, causing it to glow and emit light.

When a flashlight's circuit, which consists of the batteries, switch, and light bulb, is complete, the chemical energy in the batteries is transformed into electrical energy. The light bulb converts electrical energy into light (electromagnetic / radiant energy) and some heat (thermal energy).

Given that,

current = 0.50 A

time = 3 h

The expression for current, I = Q/t

where Q = charge and t = time taken

The mathematical expression for quantization of the charge,

Q = N × e

Where, N = is the number of the charged particle and e = is the charge on an electron.

Now, calculate the amount of charge,

I = Q/t

or, 0.50 A = Q / [(3h ×3600 sec)/1 h]

or, Q = 5400 C

Next, calculate the number of electrons:

Q = N × e

or, 5400 C = N × ( 1.6 × 10⁻¹⁹ C)

or, N = 3375 × 1O¹⁹

Thus, the number of electron is: 3.4 × 1O²²

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The wave function for a traveling wave on a taut string is (in SI units)
y(x,t) = 0.375 sin (14pt - 2px + p/4)

(a) What are the speed and direction of travel of the wave?
speed _____ m/s
direction_________
(positive x-direction, positive y-direction, positive z-direction, negative x-direction, negative y-direction, negative z-direction)

(b) What is the vertical position of an element of the string at t = 0, x = 0.178 m?
________m

(c) What is the wavelength of the wave?
____________m

(d) What is the frequency of the wave?
________ Hz

(e) What is the maximum transverse speed of an element of the string?
_____ m/s

Answers

(a) The speed and direction of travel of the wave is 7 m/s positive x-direction.

(b) The vertical position of an element of the string at t = 0, x = 0.178 m is -3.1 m

(c) The wavelength of the wave is 2 m

(d) The frequency of the wave is 7 Hz

(e) The maximum transverse speed of an element of the string is 16.48 m/s.

The wave function

The general function of the wave is:

y (x, t) A sin (kx - ωt)

We have, y(x, t) = 0.375 sin (14[tex]\pi[/tex]t - 2[tex]\pi[/tex]x + [tex]\pi[/tex]/4)

So,

a. the speed and direction of travel of the wave:

v = ω/k

= 14/2

= 7 m/s ⇒ positive x-direction

b. The vertical position of an element of the string at t = 0, x = 0.178 m

y = 0.375 sin (-2[tex]\pi[/tex]x/14 + [tex]\pi[/tex]/4)

=  -3.1 m

c. The wavelength of the wave:

λ = 4/2

= 2 m

d. The frequency of the wave

f =  ω/2

= 14/2

= 7 Hz

e. The maximum transverse speed of an element of the string:

ωA

= 14π (0.375)

= 16.48 m/s

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examine the image of the milky way. what can an astronomer visually surmise about the location of the center of the galaxy?

Answers

The center of the Milky Way galaxy is located in the southern constellation Sagittarius which is only 26,000 light-years away from the milk way.

The name of the Milky Way comes from the fact that the goddess Hera in Greek mythology sprinkled the sky with milk. Our galaxy has a different name in other parts of the world. In China it is called the "Silver River" and in the Kalahari Desert in southern Africa it is called the "Night Spine". The Milky Way is made up of a lot of dark matter, with billions of stars, gas, and dust bound together by their mutual gravitational pull. Our galaxy is about 100,000 light-years across. The location of center of the Milkyway is near the Sagittarius galaxy.

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A horizontal force of 25 N is required to push a wagon across a sidewalk at a constant speed. (5 points)
What is the net (unbalanced) force acting on the wagon?
What is the value of the force of friction acting on the wagon?
If the force on the wagon increased to 30 N, use Newton's law to explain what the effect would be.

Answers

The net force acting on the wagon at a constant speed is 0.

The value of the force of friction acting on the wagon is 55 N.

What is the net force acting on the wagon?

The net force acting on the wagon is calculated by applying Newton's second law of motion as shown below.

F - Ff = ma

where;

F is the applied forceFf is the force of frictionm is the mass of the wagona is the acceleration of the wagon

At a constant speed, the acceleration of the wagon = 0

F - Ff = 0

F - Ff = F(net)

Thus, the net force is zero, when the speed of the wagon is constant.

The force friction acting on the wagon if the force on the wagon increased to 30 N is calculated as;

F - Ff = 0

( 30 N + 25 N ) - Ff = 0

Ff = 55 N

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an electron is placed in a uniform electric field that is directed towards the right side of the page. what is the direction of the force on the electron?

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An electron is placed in a uniform electric field that is directed towards the right side of the page. The direction of force on the electron is towards the left.

Electron is a subatomic particle which carries a negative charge. The mass of the electron is less than the mass of proton and neutron. But the charge of an electron is equal and opposite to the charge of a proton i.e, they only differ by a negative sign.

The electron will move in the opposite direction of the electric field due to its negative charge. So, it will move towards the left.

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replace the loading by an equivalent resultant force and couple moment acting at point o

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The equivalent resultant couple moment about the point O is 15.375KNm

The load carried by section (1)

F1 = 1/2 × 1.5 × (w1 - w2)

F1 = 1/2 × 1.5 × 4 = 3KN

the load carried by section (2).

F2 = w2 × (1.5 + 0.75)

F2 = 4 × 2.25 = 9KN

F3 = 1/2 × 0.75 × 4 = 1.5 KN

Determine the equivalent resultant force.

∑Fr = F1 + F2 + F3 = 13.5 KN

the moment about the point O due to distributed loading,

∑ Mr = F1 x1 + F2x2 + F3x3

x1 = 0.5m

x2 = 1.125m

x3 = 2.5m

the equivalent resultant couple moment about the point O is

Mr = ∑Mr = 15.375KNm

The equivalent resultant couple moment about any point on the given beam is equal to the sum of couple moment developed by each of the distributed loading about that point. Calculate the moment caused by each force about point O, using the distance of the centroid from end O.

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what is the strength of the magnetic field at the center of the loop in the figure?

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The magnetic field strength at the center of a circular loop is determined by the formula B=μ0I/2R where R is the loop's radius. RHR-2 provides the field's direction with respect to the loop.

One of two ways to express a magnetic field's intensity is its magnetic field strength.

Technically, a distinction is made between magnetic flux density B, also known as teslas, measured in Newton-meters per ampere (Nm/A), and magnetic field strength H, measured in amperes per meter (A/m) (T).

Magnetic field lines represent the magnetic field. The density of the field lines and the field strength are related.

The magnetic flux is the total number of magnetic field lines that are present in a given space.

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light of wavelength 550 nm passes through a slit of width 0.210 mm. (a) the width of the central maximum on a screen is 7.50 mm. how far is the screen from the slit? m (b) determine the width of the first bright fringe to the side of the central maximum.

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The width of the first bright fringe to the side of the central maximum is 0.0384 mm.

(a) The distance from the slit to the screen is given by the formula:

d = (b x λ) / w

where b is the width of the central maximum, λ is the wavelength, and w is the width of the slit.

Therefore,

d = (7.50 mm x 550 nm) / 0.210 mm

d = 22,500 nm / 0.210 mm

d = 107,143 mm

d = 107.1 m

(b) The width of the first bright fringe to the side of the central maximum is given by the formula:

w = (b x λ) / d

where b is the width of the central maximum, λ is the wavelength, and d is the distance from the slit to the screen.

Therefore,

w = (7.50 mm x 550 nm) / 107.1 m

w = 4,125 nm / 107.1 m

w = 0.0384 mm

The width of the first bright fringe to the side of the central maximum is 0.0384 mm

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