A 6,000-km undersea glass fiber phone line crosses the Atlantic ocean connecting the US and France. (a) How long does it take for a message to transverse this link? (b) How long does it take for a message to travel from US to France by using a satellite link? The satellite is stationed about 22,000 miles above the earth between the US and France. (c) Will two people having a conversation across these two different links notice the travel delays?

Answers

Answer 1

Answer:

Explanation:

Message will travel through the fibre at the speed of 3 x 10⁸ m /s which is also the speed of light .

a ) Time for a message to travel from US to France by using glass fibre  link

time  = distance / speed

= 6000 x 1000 / 3 x 10⁸

= .02 s .

b )

22000 miles = 1.6 x 22000

= 35200 km

Time for a message to travel from US to France by using a satellite link

time = distance / velocity

 distance = 2 x √ ( 35200² + 3000² )

=  2 x 35327 km

= .7 x 10⁸ m .

time = .7 x 10⁸ / 3 x 10⁸

= .233 s

c )

Difference of time = .233 - .02

= .213 which is more than 1/6 s for which effect of hearing stays in the brain , which is called persistence of vision .  So they will be heard as different sounds.


Related Questions

What is defined as a set of coordinates on a map grid? > ω

What is defined as a set of coordinates on a map grid? >

Answers

A set of coordinates on a map grid are called coordinate grid or grid squares.

The quadrants in which ordered pairings, or coordinates, are established typically have two or more intersecting lines. Coordinates are also used in maps.

Eastings and Northings, two types of grid lines, are what make up the grid squares you see on maps. Both Easting and Northing grid lines are numbered from west to east and from south to north, respectively. The vertical lines that separate the map's west and east halves are known as eastings.

GPS coordinates, which are frequently stated in alphanumeric characters, can be used to uniquely identify a specific geographic place on the planet. In this context, coordinates refer to the points where a grid system intersects. Typically, GPS coordinates are written as a combination of latitude and longitude.

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In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?

Answers

Answer:

Study More You will get it :L

1. What is the function of a lightning rod?
2. How is charge build-up reduced on airplanes?
3. Why is a ground strap a necessary safety feature when transferring fuel?
4. What are three different methods for reducing charge build-up in clothes dryers?
5. What are four different methods for reducing charge build-up in a computer room with a carpet?​

Answers

Answer:  1. The function of a lightning rod is to protect buildings, structures, and people from lightning strikes by providing a path of least resistance for the electrical current to follow, directing it safely into the ground instead of through the structure or people.

2. Charge build-up is reduced on airplanes through various methods, such as using conductive materials in the airplane's structure, applying anti-static coatings on the airplane's surface, and installing static discharge wicks or similar devices on the airplane's trailing edges, which provide a way for any accumulated charge to safely dissipate into the air.

3. A ground strap is a necessary safety feature when transferring fuel because it provides an electrical connection between the fuel container and the receiving container, allowing any static charge to safely dissipate into the ground. Without a ground strap, the static charge could build up and potentially ignite the fuel.

4. Three different methods for reducing charge build-up in clothes dryers are: (1) using dryer sheets or fabric softeners, which can help neutralize static charges on the clothes, (2) adding a damp cloth to the dryer, which can help dissipate static charges, and (3) using metal dryer balls, which can physically separate clothes and prevent them from rubbing against each other and creating static charges.

5. Four different methods for reducing charge build-up in a computer room with a carpet are: (1) using conductive flooring or carpet tiles that can help dissipate static charges, (2) using anti-static mats or wrist straps for personnel who work in the room, (3) using air ionizers or humidifiers, which can help neutralize static charges in the air, and (4) grounding all equipment and devices in the room to prevent the buildup of static charges.

Explanation:

I hope this helps!

How does something(the big bang) come from nothing by nothing i mean the first universe although we don't know where the first universe is but we do know that nothing can't come from something.

Answers

The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.

It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.

Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.

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A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown below. Questions: 1. What is the displacement of the boat between 0 s and 16s ? 2. What is the distance traveled by the boat between 0 s and 16s?

A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown

Answers

1.

The displacement is defined as:

\(\begin{gathered} \Delta x=x_f-x_0 \\ \text{ where} \\ x_f\text{ is the final position} \\ x_0\text{ is the initial position } \end{gathered}\)

From the graph we notice that the initial position (at t=0 s) is 6 m and the final position (at t=16 s) is -15 m, then we have:

\(\begin{gathered} \Delta x=-15-6 \\ \Delta x=-21 \end{gathered}\)

Therefore, the displacement is -21 m

2.

To find the distance traveled by the boat we need to notice that between 0 s and 16 s we have to legs of the motion, then we need to find the distance in each leg and finally we add them to find the total distance traveled in that interval.

To find the distance in each leg we can use the following formula:

\(d=\lvert{x_f}-x_0\rvert\)

First leg (from 0 s to 8 s).

In this leg of the trip the boat move from 6 m to 15 m, then the distance is:

\(\begin{gathered} d=\lvert{15-6}\rvert \\ d=\lvert{9}\rvert \\ d=9 \end{gathered}\)

Hence, the boat traveled 9 m in this leg.

Second leg (from 8 s to 16 s)

In this leg of the trip the boat move from 15 m to -15 m, this means that the distance in this leg is:

\(\begin{gathered} d=\lvert{-15-15}\rvert \\ d=\lvert{-30}\rvert \\ d=30 \end{gathered}\)

Hence, the boat traveled 30 m in this leg.

Finally, as we said, we just add the distance in each leg:

\(\begin{gathered} d=9+30 \\ d=39 \end{gathered}\)

Therefore, the boat traveled 39 m

A Chinook salmon can jump out of water with a speed of 6.50 m/s . How far horizontally can a Chinook salmon travel through the air if it leaves the water with an initial angle of =30.0° with respect to the horizontal? (Let the horizontal direction the fish travels be in the + direction, and let the upward vertical direction be the + direction. Neglect any effects due to air resistance.)

Answers

Answer:

3.73m

Explanation:

What we are asked to find is the range covered by the fish. This is given by the following equation (1). Range can simply be defined as the horizontal distance covered by a body whose motion freely under gravity is in two dimensions. The motion of the fish is in two dimensions, the vertical dimension and the horizontal dimension.

\(R=\frac{u^2sin2\theta}{g}.........(1)\)

where u = 6.5m/s is the initial velocity, g is acceleration due to gravity which is taken as \(9.8m/s^2\) and \(\theta=30.0^o\).

Substituting these values into equation (1), we obtain the following;

\(R=\frac{6.5^2sin2(3)}{9.8}\\R=\frac{42.25sin60}{9.8}\\\\R=\frac{36.59}{9.8}\\R=3.73m\)

The range should be 3.73m.

Important information:

A Chinook salmon can jump out of water with a speed of 6.50 m/s . The initial angle of =30.0°

The range refers to the horizontal distance i.e. covered by a body whose motion freely under gravity should be in two dimensions. It can be the vertical dimension and the horizontal dimension.

calculation of the range:

\(= 6.5sin^2\div 9.8\\\\= 36.59 \div 9.8\)

= 3.73m

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In an inertial system S, an event is observed to take place at point A on the x-axis and 10^-6 s later another event takes place at point B, 900 m further down. Find the magnitude and direction of the velocity of S' with respect to S in which these two events appear simultaneous.

Answers

The magnitude of the velocity of S' with respect to S is therefore approximately  \(9 * 10^(11)\)m/s. then the magnitude is approximately\(9 * 10^(11)\) m/s.

the velocity of the system S' with respect to S as v. Since the two events are simultaneous in the system S', they must have the same time coordinate in that system. Let's call this time coordinate t' and the position of the two events in the S' system as (x1', t') and (x2', t').

Using the Lorentz transformation equations, we can relate the coordinates (x1, t1) and (x2, t2) in the S system to the coordinates (x1', t') and (x2', t') in the S' system:

x1' = γ(x1 - vt1)

t' = γ(t1 - vx1/\(c^2\))

x2' = γ(x2 - vt2)

t' = γ(t2 - \(vx2/c^2\))

where γ = 1/√(1 - \(v^2/c^2\)) is the Lorentz factor.

Since the two events are separated by 900 m and a time interval of 10^-6 s, we have:

x2 - x1 = 900 m

t2 - t1 = \(10^-6\) s

Using the above equations, we can solve for v. First, we can eliminate t' by equating the two expressions for t':

γ(t1 - vx1/\(c^2\)) = γ(t2 - vx2/\(c^2\))

Simplifying this expression, we get:

v =\(c^2\)(x2 - x1)/(t2 - t1)(x1 + x2)

Plugging in the given values, we get:

v = c^2(900 m)/(\(10^-6\) s)(0 m + 900 m) = 9 × \(10^11\) m/s

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Which best describes earth's magnetic field lines?​

Answers

Answer:

The field lines go out of Earth near Antarctica, enter Earth in northern Canada, and are not aligned with the geographic poles.

Explanation:

Answer: the field lines go out of earth near the north pole, enter earth in the south pole, and are not aligned with the geographic poles.

Explanation: just took the test on edge 2020.

Which statement best explains why sensors (or senses) are necessary to produce a change in behavior?
A.
Organisms cannot sense stimuli without a central nervous system.
B.
Stimuli must be sensed in order to produce a response.
C.
Stimuli must be responded to in order to be sensed.
D.
Organisms cannot respond to stimuli without a central nervous system.

Answers

a- organisms cannot sense stimuli w/ out a central nervous system.

Answer:

It is (B) Stimuli must be sensed in order to produce a response.

Explanation:

question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!!

Answers

Answer:

??????? umm what r u saying??? kinda confusing..............what does question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!! mean????????

very very very confusing

Explanation:

plz mark brainlyist :()

A block moving at a velocity of 18 m/s along a frictionless surface encounters a rough area with which it does have a coefficient of friction. It moves along this rough area for 30 meters before slowing to a speed of 6 m/s. Find the coefficient of kinetic friction between the block and this rough surface.

Answers

The coefficient of kinetic friction between the block and the rough surface is -0.6.

What is kinetic friction?

Kinetic friction is a type of friction that occurs when two objects are in contact and moving relative to each other. It is also known as sliding friction or dynamic friction. Kinetic friction is caused by the interaction of the two surfaces as they move against each other. The force of kinetic friction acts in the opposite direction of the motion of the two objects and is proportional to the normal force between them. The coefficient of kinetic friction is a measure of the amount of friction between two surfaces and is determined by the materials of the two surfaces.

The coefficient of kinetic friction can be found using the equation:
μk = (vf - vi) / (d * a)
where μk is the coefficient of kinetic friction, vf is the final velocity, vi is the initial velocity, d is the distance traveled, and a is the acceleration due to gravity (9.8 m/s2).
Plugging in the given values, we get:
μk = (6 - 18) / (30 * 9.8)
μk = -0.6
Therefore, the coefficient of kinetic friction between the block and the rough surface is -0.6.

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A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?

Answers

The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.

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A ball strikes the floor for 0.0105 s and experiences a change in momentum of 1.52 kg·m/s. What is the force experienced by the ball?
A.) 1.60N
B.)144.76N
C.)23.82N
D.)0.016N

Pic is attached below​

A ball strikes the floor for 0.0105 s and experiences a change in momentum of 1.52 kgm/s. What is the

Answers

The force experienced by an object is 144.76 N.

O\ption B is correct.

What is force?

A force is described as an influence that can change the motion of an object or that can cause an object with mass to change its velocity

The force can be calculated using the equation of force = change in momentum / time.

So, force = 1.52 kg·m/s / 0.0105 s = 145 N

Therefore, the answer is 144.76 N.

Some types of force available includes the following:

Gravitational force.Electric force.Magnetic force.Nuclear force.Frictional force.

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What characteristics determine how easily two substances change temperature? Check all that apply.
volume of the two substances in contact
amount of time the two substances are in contact
Oarea in contact between the two substances
specific heat of the material that makes up the substances
density of the two substances in contact

Answers

Answer:

The characteristics that determine how easily two substances change temperature are:

specific heat of the material that makes up the substancesarea in contact between the two substances

The volume and density of the substances and the amount of time they are in contact do not directly affect how easily they change temperature.

Explanation:

Question 4 of 10
Which of the following describes the reactants of a chemical reaction?
OA. The chemicals on the right side of a chemical equation
B. The substances that are formed
OC. The substances that are made
O D. The chemicals on the left side of a chemical equation

Answers

The substances that are altered and the chemicals on the right side of a chemical equation are the results of a chemical reaction. B and D are the appropriate choices.

Reactants are the substance(s) in a chemical equation to the left of the arrow. A component that is present at the outset of a chemical reaction is known as a reactant. Products are the substance(s) to the right of the arrow. A substance that remains after a chemical reaction is complete is known as a product. The creation of products from the reaction of two reactants is known as a chemical reaction. The compounds that result from a reaction are called products. The substances that are original materials are the reactants.

On the left side of the reaction are the reactants, and on the right are the products. B and D are the proper choices as a result.

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Help me fast!!

I need help

Answer is what?

Help me fast!!I need helpAnswer is what?

Answers

Answer:

both are only physical changes

Explanation:

Physical changes are changes that do not alter the identity of a substance.

The liquid soap is still liquid soap when mixed into water.

The dry ice is still dry ice when it changes state from solid to gas.

What is the orbital velocity in km/s and period in hours of a ring particle at the outer edge of Saturn's A ring

Answers

Answer:

The orbital velocity \(v = 16.4 \ km/s\)

The period is  \(T = 14.8 \ hours\)

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational  force between the ring particle and the planet , this is mathematically represented as

       \(\frac{GM_s * m }{r^2 } = m w^2 r\)

=>    \(w = \sqrt{ \frac{GM}{r^3} }\)

Here G is the gravitational constant with value  \(G = 6.67*10^{-11}\)

        \(M_s\)  is the mass of with value  \(M_s =5.683*10^{26} \ kg\)

        r is the is distance from the center of the  to the  outer edge of the  A ring

i.e r = R  + D  

Here R  is the radius of the planet   with value  \(R = 60300 \ km\)

         D  is the distance from the  equator to the outer edge of the  A ring with value  \(D = 80000 \ kg\)

So  

       \(r =80000 + 60300\)

=>    \(r =140300 \ km = 1.4*10^{8} \ m\)

So

    =>    \(w = \sqrt{ \frac{ 6.67*10^{-11}* 5.683*10^{26}}{[1.4*10^{8}]^3} }\)

    =>    \(w = 1.175*10^{-4} \ rad/s\)

Generally the orbital velocity is mathematically represented as

       \(v = w * r\)

=>     \(v = 1.175*10^{-4} * 1.4*10^{8}\)

=>     \(v = 1.64*10^{4} \ m /s = 16.4 \ km/s\)

Generally the period is mathematically represented as

     \(T = \frac{2 \pi }{w }\)

=> \(T = \frac{2 * 3.142 }{ 1.175 *10^{-4} }\)

=> \(T = 53473 \ second = 14.8 \ hours\)

Answer:

The orbital velocity \(v = 16.4 \ km/s\)

The period is  \(T = 14.8 \ hours\)

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational  force between the ring particle and the , this is mathematically represented as

       \(\frac{GM_s * m }{r^2 } = m w^2 r\)



#1 DESCRIBE how magnets work

Answers

Answer:All magnets have north and south poles. Opposite poles are attracted to each other, while the same poles repel each other. When you rub a piece of iron along a magnet, the north-seeking poles of the atoms in the iron line up in the same direction. The force generated by the aligned atoms creates a magnetic field.

Explanation: I did this exact question before

Hi can anyone please help me with this question? i just cant seem to do it.. Thanksss

Newtons Universal Gravitational Law.
Bill gates a billionaire and space-X CEO, send Robin, 65kg, to planet Gidz. Gidz has a very weak gravitational attraction, of 1.56 N/Kg. Planet GIdz has a radius of 6.35 x 10^11 m.

i. determine the mass of planet Gidz.

Answers

Answer:

F = G M m / R^2 = m a

G M / R^2 = a

M = a R^2 / G

M = 1.56 N/kg * 6.35 m^2 / 6.67E10-11 N-m^2 / kg^2

M = 1.56 * 6.35 / 6.67E-11 kg

M = 1.49 * 10^11 kg

Which of the following do you ALWAYS have to have in an electric circuit?
O ammeter
O wire
O voltmeter
O switch

Answers

Answer:

ammeter

Explanation:

to get a person who lives in your yard you have a great

Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?

Answers

The near point of a human eye is about a distance of 25 cm.

The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.

This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.

The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.

In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.

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Calculate the volume of this regular solid,
What is the volume of the sphere? Round your answer
to the nearest tenth.
cm
8 cm

Answers

Answer:

2144.7

Explanation:

Armand is monitoring a large sealed tank by way of a sensor that records the liquid level over time on a graph. He looks at the graph and claims that the sensor indicates there are waves in the liquid in the tank.



In the space provided, answer each of the following.

Part A: Explain how Armand knows that there is a wave in the tank.
Part B: Find the amplitude, in centimeters (cm), and frequency, in number of waves every second/cycle per second (Hz), of the wave.

Answers

Answer:

A.) armand probably looked at the graph that the liquid sensor sends information too

Explanation:

if one food calorie which equals 1000 "chemistry" calories equals 4184 J, then how far could you go on one cookie containing 50 calories ?

Answers

On one cookie containing 50 calories, you could potentially go approximately 298 meters

How to calculate the value

Given that one food calorie is equivalent to 4184 joules, we can calculate the total energy in joules contained in the 50 calorie cookie:

50 food calories * 4184 J/calorie = 209,200 joules

Assuming an average efficiency of around 25% (meaning 25% of the energy is effectively used for movement), and a body weight of 70 kilograms, we can use a rough estimation that it takes about 1 joule of energy to move 0.4 meters (based on the energy cost of walking).

Distance = (Energy obtained from the cookie * Efficiency) / (Energy cost per meter * Body weight)

Distance = (209,200 J * 0.25) / (1 J/m * 0.4 m/kg * 70 kg)

Distance ≈ 298 meters

Therefore, on one cookie containing 50 calories, you could potentially go approximately 298 meters

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How do you add sound waves?

Answers

The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.

What is interference?

Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.

Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.

When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.

When two waves interfere with each other and have a displacement in the opposite direction.  When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.

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How do you add sound waves?

An echocardiogram is a type of ultrasound test that measures sound waves as they bounce off the different parts of a person's heart. Which of these is the best model for how this test works? A. Counting the seconds between yelling and hearing an echo in a cave B. Counting the seconds between seeing lightning and hearing thunder C. Counting the minutes it takes a pot of water to come to a boil D. Counting the minutes it takes a ship's anchor to reach the seafloor​

Answers

Answer:

A

Explanation:

did the test

A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C​

Answers

The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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A long, straight conveyor belt at a sushi restaurant carries sushi past customers with a constant velocity. If the sushi roll you want is 4.30 m to the right of you 11.0 s after exiting the little door at the beginning of the conveyor belt, and it is still 2.10 m to the right of you 10.0 s later, how far is the little door to the right of you?

Answers

To solve this problem, we can use the equation:

distance = velocity × time

Let's assume that the velocity of the conveyor belt is v, and the distance between the little door and the sushi roll is d.

According to the information given, the sushi roll is 4.30 m to the right of you 11.0 s after exiting the little door. We can write this as:

4.30 m = v × 11.0 s

Similarly, the sushi roll is still 2.10 m to the right of you 10.0 s later:

2.10 m = v × 10.0 s

Now, we can solve these two equations simultaneously to find the velocity of the conveyor belt. Dividing the second equation by the first equation, we get:

2.10 m / 4.30 m = (v × 10.0 s) / (v × 11.0 s)

Simplifying, we find:

0.4884 ≈ 0.9091

Now, we can use either equation to find the value of v. Let's use the first equation:

4.30 m = v × 11.0 s

Dividing both sides by 11.0 s:

v ≈ 4.30 m / 11.0 s

v ≈ 0.3909 m/s

Now that we know the velocity of the conveyor belt, we can calculate the distance between the little door and you. Using the second equation:

2.10 m = v × 10.0 s

Substituting the value of v:

2.10 m = 0.3909 m/s × 10.0 s

2.10 m = 3.909 m

Therefore, the little door is approximately 3.909 meters to the right of you.

1. A block with mass 20 kg is
sliding up a plane (Ukinetic=0.3,
inclined at 10°) at a speed of
2 m/s to the right (positive
X-direction). How far does it
go up along the plane before
it comes to rest momentarily?

Answers

Answer: 0.435 m

Explanation:

Given

mass m=20 kg

initial speed u=2 m/s

coefficient of kinetic friction \(\mu_k=0.3\)

deceleration which opposes the motion is given by

\(\Rightarrow a=g\sin \theta+\mu_kg\cos \theta\\\Rightarrow a=g(\sin \theta +\mu_k\cos \theta)\)

\(\Rightarrow a=9.8(\sin 10^{\circ}+0.3\times \cos 10^{\circ})\\\Rightarrow a=4.59\ m/s^2\)

using \(v^2-u^2=2as\)

\(\Rightarrow s=\dfrac{2^2}{2\times 4.59}=0.435\ m\)

A drunken sailor stumbles 550 meters north, 500 meters northeast, then 450 meters northwest. What is the total displacement and the angle of the displacement

Answers

Answer:

Resultant displacement = 1222.3 m

Angle is 88.3 degree from +X axis.

Explanation:

A = 550 m north

B = 500 m north east

C = 450 m north west

Write in the vector form

A = 550 j

B = 500 (cos 45 i + sin 45 j ) = 353.6 i + 353.6 j

C = 450 ( - cos 45 i + sin 45 j ) = - 318.2 i + 318.2 j

Net displacement is given by

R = (353.6 - 318.2) i + (550 + 353.6 + 318.2) j

R = 35.4 i + 1221.8 j

The magnitude is

\(R = \sqrt{35.4^{2}+1221.8^{2}}R = 1222.3 m\)

The direction is given by

\(tan\theta =\frac{1221.8}{35.4}\\\\\theta = 88.3^{o}\)

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