What is generally found behind the drawbridge of a castle?.

Answers

Answer 1

An open area between the two buildings is generally found behind the drawbridge of a castle.

A drawbridge is basically a long bridge made up of wood or sometime metal at the entrance of a castle or tower surrounded by a moat. It is basically for the leading to a gateway, capable of being raised or lowered to either restrict entry into the castle or allow someone in it, and often spanned a ditch or moat.

Depending on how big the castle is, when someone go over the drawbridge he or she can generally see an open area, between the buildings. And if we talk about the mechanism behind the drawbridge of the castle a typical arrangement would have the drawbridge immediately outside a gatehouse, consists of a wooden deck with single edge pivoting at the gatehouse threshold, so that in the heighted position the bridge would be flush against the gate, forming passage to entre.

Hence, an open area between the two buildings is generally found behind the drawbridge of a castle.

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Related Questions

closing the mouth is of the mandible. opening the mouth is of the mandible. drawing the shoulders anteriorly, or protruding the mandible outward, is of the scapulae or mandible. pulling the shoulders back, as in sticking out your chest, is of the scapulae. making a conical motion with a limb, as in drawing a circle, is called .

Answers

Making a conical motion with limb as drawing a circle is called the humerus.

What is humerus?

Humerus is the largest bone in the arm and the only bone in the upper arm. Movement of the humerus is essential for all varied activities. Humerus is the only bone in the upper arm. This bone has many uses because it is directly related to the human hand, which plays a very important role for humans.

From the statement above, we get various important information. Mandible is the lower jawbone which is the largest and strongest bone in the facial area. This bone is useful for helping humans in chewing food, speaking, and other activities that require the use of the lower jaw.

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on what date was the mystery planet located farthest to the west? what was the azimuth value of the planet on this date?

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The mystery planet was located farthest to the west on December 23, 2016, at an azimuth value of 63°.

The mystery planet was discovered in 2011. It is currently located in the constellation Pegasus and has an apparent magnitude of 21.9, which means that it is extremely dim and difficult to see with an amateur telescope or binoculars.

The planet's orbit is elliptical, with a semimajor axis of 0.8 AU (Earth-Sun separation) and eccentricity 0.77. The orbital period is about 5 years and 11 months, making this one of the longest-period planets ever discovered in our solar system.

It takes about 3 years for the mystery planet to complete one orbit around its star; this orbital period is slightly shorter than Jupiter's orbital period (11 years), so it will complete one orbit in less time than it takes Jupiter to complete one orbit around our sun.

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A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. Describe the possible distances (in miles) that a beginner can travel in 45 minutes of practice time.

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A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles

18 miles / hour = 18 / 60 = 0.3 miles / minute

distance = speed * time

              = 0.3  * 45 = 13.5 miles

The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles

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the wavelength of the green light from a traffic signal is centered at 522 nm. what is the frequency in hertz of this radiation? x 1014 hz

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The frequency in hertz of this radiation if the wavelength of the green light from a traffic signal is centered at 522 nm is 0.575 * [tex]10^{15}[/tex] m

f = c / λ

f = Frequency

c = Speed of light

λ = Wavelength

c = 3 * [tex]10^{8}[/tex] m / s

λ = 522 nm = 522 * [tex]10^{-9}[/tex] m

f = 3 * [tex]10^{8}[/tex] / 522 * [tex]10^{-9}[/tex]

f = 0.575 * [tex]10^{15}[/tex] m

f = 0.575 Pm

Frequency is the repetition of an event per unit amount of time. The wavelength is the distance between identical points in adjacent cycles of a wave.

Therefore, the frequency in hertz of this radiation is 0.575 Pm

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Salt water is more dense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of salt water displaced by the ship is.

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To create a fluid weight equivalent to the weight of the object, less of a more dense fluid must be moved. The amount of displaced water won't be as great because the salt water is denser.

Freshwater is less dense than saltwater. More dense substance will be located below less dense material. When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt. Consequently, when the density of the fluid increases, upward Due to the increase in buoyant force, objects will float more easily in salt water. Seawater has a higher density and buoyancy than freshwater. Water that is pure is less dense.

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Why is an understanding of thermal energy transfer important important when designing it in the efficient house

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Answer:

Why Is Thermal Energy Important? Thermal energy offers us another source of power. Thermal energy is used in thermal power plants. Thermal energy can be efficiently stored and used as a backup power source during peak usage hours or seasonal weather power use increases.

Explanation:

a 1.57-cm panel of a certain material can absorb 85.5% of incoming rays from a radioactive source. how thick of a panel, in cm, of that same material would you need to absorb 99.2% of the rays?

Answers

The thickness of the panel should be 1.82 cm.

According to Beer-Lambert law, the absorbance([tex]A[/tex]) of certain incident energy from a medium is given by [tex]A = \epsilon Lc[/tex] where [tex]\epsilon, L\,\text{and}\,c[/tex] denote the molar absorption coefficient, the direct length of the medium and the concentration of the medium.In this situation, since it is the same medium that applies, we can think of the formula in its proportion mode as [tex]A \propto L[/tex].Now we can apply this simplified formula to both situations and find the needed quantity as follows,

                                                        [tex]\begin{aligned}\\\\\frac{99.2\%}{85.5\%}&=\frac{L}{1.57\,cm}\\\\L&=1.82\,cm\end{aligned}[/tex]

This result is satisfying as more energy can be thought to be lost in the medium during its travel through the medium so the absorbance is higher.

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which nonmetal forms a gas commonly found in our atmosphere? responses cl uppercase c lowercase l n n i i rn

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Acc to the responses given in the query:

Nonmetal forms a gas commonly found in our atmosphere  is chlorine (Cl, element 17)

Many of the nonmetals are gases when they are in their elemental state. Example Hydrogen, Flourine, Oxygen, and Nitrogen. (H2, N2, O2, F,and Cl2.)

Describe a non metal.

A non-metallic chemical element that may create anions, acid oxides, acids, and stable hydrogen compounds. Examples include boron, carbon, and nitrogen. When compared to metals, nonmetals' electrons exhibit different behaviour. Elements with 4, 5, or 7 electrons in their outermost shell are considered non-metals. Non-metals include things like carbon, oxygen, chlorine, etc.

Describe a metal.

Metals are a type of element that typically has 1, 2, or 3 valence electrons. Metals are opaque, glossy elements that are effective heat and electrical conductors. Examples of some metals are sodium, potassium, copper, and others. The majority of metals are ductile and malleable, and they are often.

Hence, acc. to question, Nonmetal forms a gas commonly found in our atmosphere  is chlorine (Cl, element 17) .

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What is a consensus?
O A. An agreement that something is correct
B. A type of science that uses observation
C. A theory that uses math to make predictions
OD. A theory that will never be changed

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A consensus is an agreement that something is correct ( A )

Option B is incorrect because a type of science that uses observation is called as Quantitative Observation. In this a scientist records the observations of an experiment and collects data. Option C is incorrect because a theory that uses math to make predictions is called as Predictive modeling.

Option D is incorrect because a theory that will never be changed is a fact. A fact is a theory that is known or proved to be true. Option A is correct because an agreement that something is correct is a consensus. The basic meaning of a consensus is a general agreement.

Therefore, the agreement that something is correct is a consensus

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a 22.0 kg crate is initially moving with a velocity of 3.90 m/s in a direction 440 west of north. how much work must be done on the crate to change its velocity to 6.67 m/s in a direction 63.00 south of east? do not include units.

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The crate needs to put in 1000.63 Joule of work in order to shift its velocity from 0 to 6.67 m/s in the direction of 63.00 south-east.

What work is being done?

We are aware that the definition of labor is the multiplication of the force operating in the direction of the displacement (d) and its component.

Given,

A 22 kg container is initially traveling 440 degrees west of north at a speed of 3.90 m/s.

the cosine formula was used to compute the outcome velocity.

where angle ∅ = 440 + 90 + 63 = 593°

v² = (3.90)²+(6.67)² - 2(3.9)(6.67) cos 593

v² = 59.6989 + 52.026 × 0.601

v² = 59.6989 + 31.2676

v² = 90.9665

Resultant velocity V = 9.5376

V = 9.53 m/s

To calculate the much work that must be done on the crate to change its velocity to 6.67 m/s in a direction 63.0° south of east, Because energy and labor are equivalent, the kinetic energy formula is used.

W = 1/2mv²

Where,

m = 22 kg and

v = resultant velocity = 9.53 m/s

W = 0.5 x 22 x (9.53)²

W = 1000.63 Joule

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a swimmer completes 10 laps in a 50 m swimmings pool, what were thelinear disatance and linear displacemetn

Answers

Answer:

Explanation:

Linear disatance:

D = 50·10 = 500 m

The linear movement is zero because the start point and finish point are the same

What is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min?.

Answers

Using the concepts of work, we got that 7000 joules is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min.

We know very well that if we want to move any object by a certain distance then we need to do some work so that it can moves against the frictional force.

We have

The mass of an object = 100 kg

But, Force = mass × g (taking g as 10 N/kg)

Then, Force = 1000 N

Assuming we are given the distance moved by the object as 7 m

We can calculate the work done by the force

We need to know that;

Work done = Force × distance

Therefore;

Work done = 1000 N × 7 m

                  = 7000 Joules(since 1Nm=1 Joule)

Hence, the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min is 7000 Joules.

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(Complete question) is:

what is the work done by a force equivalent to the weight of 100kg that moves an object in 7 minutes?​

A 0.25 kg baseball is headed towards the batter with a speed of 40 m/s in the positive direction. After being batted the ball heads in the opposite direction with a speed of 50 m/s. If the ball was in contact with the bat for 0.017 seconds, what was the magnitude and direction of the force acting on the ball? Express you answer rounded to the nearest 10th.

Answers

The Magnitude of ball is  =  1.3 K-N.

The direction of the ball is =  -1.3 K-N , here negative sign indicates the         opposite direction.

m=0.025 kg

Impulse(p)=change in momentum

Vf = -50

Vi = 40

P = m(Vf-Vi)

P =0.25(-50-40)

p = -22.5 N-sec

Average force (F) = impulse/time

F = -22.5/0.017

F =  - 1.3*10^3 N

        or

F = - 1.3 K-N

The magnitude of the ball is = 1.3 K-N

The direction of ball is  =  -1.3 K-N , here negitive sign indicates the opposite direction.

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A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to:.

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A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to √t.

Work is a change in kinetic energy, it should be noted. Power will therefore be determined as follows:

Power = Work / Time = force × velocity

Work = the change in kinetic energy = 1/2 mv2

If work is proportional to time:

W = t

1/2 mv2 = t

v2 = t

v (speed) = √t

Speed is the rate and direction of an object's movement, as well as the rate and duration at which an object is moving along a path. In all other positions, speed is a scalar value while pace is a vector.

Power is inversely related to t. Because the force is constant, the velocity will be a function of t. As a result, the particle's speed is proportional to √t.

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two objects are sliding at the same speed across a wooden surface. the coefficient of kinetic friction between the first object and the surface is twice that between the second object and the surface. the distance traveled by the first object before it stops is s. the distance traveled by the second object is .

Answers

When it is given that the distance traveled by the first object before it stops is S, then the distance traveled by the second object is 2S.

What do you understand by coefficient of kinetic friction?

The ratio of the friction force to the normal force experienced by a body moving on a dry and non-smooth surface is said as the kinetic friction coefficient, μk.

Under the high velocity conditions, kinetic friction coefficient increases with the velocity. And as velocity increases so the distance also increases.

The kinetic friction formula is given as normal × friction coefficient. So, if force is increased then the normal force is not changed, due to which the friction remains constant.

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A golfer is teeing off a 160.0 m long par-3 hole. the ball leaves with a velocity of 40.0 m/s at 50.0° to the horizontal. assuming that she hits the ball on a direct path to the hole, how far from the hole will the ball land (no bounces or rolls)?

Answers

The distance the land near hole is -0.6

As we know that the golfer hits the ball with a speed of 40 m/s at an angle of 50 degrees

so here we will have the range of the ball on the ground given as

R = v² sin2∅/g

so we will have

[tex]R =\frac{40^{2}sin(2*50) }{9.81}[/tex]

R = 160.6

So it will land at a distance of 160.6 m

so the distance from the hole is given as:

d = 160 -160.6

d = -0.6

To calculate the horizontal distance as the projectile travels Multiply the vertical height h by 2 and divide by the acceleration due to gravity g. Take the square root of the result from step 1 and multiply it by the initial projection velocity u to get the horizontal distance.

The maximum horizontal distance a baseball travels is the horizontal distance a baseball travels when returning to its initial height. An example of horizontal distance is the distance from an observer to a building, and an example of vertical distance is the height of a building. Players are given a reasonable amount of time to reach the hole and must wait an additional 10 seconds for the ball to fall into the hole. If the ball falls into the hole during this waiting time.

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Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?.

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The process where a glass of water with some ice cubes becomes warm due to being kept in the window for some time will be called as melting.

In the field of science, melting can be described as a process by which a solid substance is changed into a liquid substance due to thermal energy.

Ice cubes are solid substances of water that needs low temperatures. When ice cubes are kept by a window at room temperature, it changes into liquid water due to the process of melting because room temperature is not the cold temperature that the ice cubes require.

Hence, the process by which ice cubes are changed into liquid water by warming them near a window is melting.

Although a part of your question is missing, you might be referring to this question:

Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?

-Condensation

-Melting

-Freezing

-evaporation

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Newton’s ______ law of motion states that "an object at rest will stay at rest, and an object in motion will stay in motion, unless acted on by an unbalanced force.

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Newton’s first law of motion states that "an object at rest will stay at rest, and an object in motion will stay in motion, unless acted on by an unbalanced force.

It is possible to consider Newton's first law to be the law of inertia. It helped us realise that when a body is at rest, it will remain at rest until an external force is applied to it, or if a body is travelling at a constant speed, it will stay moving until an external force is applied.

Only when net force is applied will a body move from its resting position. An illustration of this law can be seen when a passenger in a car fastens their seat belt. Both stationary and moving objects are covered by this law.

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a gas does 189 j of work while expanding, and at the same time it absorbs 154 j of heat. what is the change in internal energy?

Answers

35 joule is the change in internal energy when a gas does 189 j of work while expanding, and at the same time it absorbs 154 j of heat.

w= -189

q=154

E=w+q

E= -189+154

E=-35 joule

Internal energy is a property or state function in thermodynamics that describes a substance's energy when capillary effects and the effects of external magnetic, electric, and other fields are not present. As with any other state function, the energy's value depends on the substance's state rather than the kind of methods employed to get there. The first law of thermodynamics states that when a system changes state as a result of a process in which only work is involved, the work is equal to the change in internal energy.

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Millikan and Harvey set out to measure-

Answers

Answer:

Explanation:

The oil drop experiment was carried out by Robert A. Millikan and Harvey Fletcher in 1909 to measure the elemental electric charge (electron charge).

calculate the ratio of the resistance of 15.0 m of aluminum wire 2.2 mm in diameter, to 23.0 m of copper wire 2.0 mm in diameter.

Answers

The ratio of the resistance was found to be 0.85013

Define resistance?

Resistance is a measure of the resistance to current flow in an electrical circuit.

The Greek letter omega () represents resistance in ohms. Ohms are named after Georg Simon Ohm (1784-1854), a German scientist who researched the link between voltage, current, and resistance. Ohm's Law is attributed to him.

the formula for calculating the resistance was R= ρ 1/s

ρal=2.65(10)^-8 mΩ

ρcu= 1.68(10)^-8mΩ

l al=15.0 m

l cu= 23.0 m

s= π(d/2)^2

d= diameter

dal=2.2mm=0.0022m

dcu= 2.0mm=0.0020m

for aluminum

Sal= π(0.0022/2)^2

=3.14(0.0022/2)^2

=3.14(0.0011)^2

=3.14(0.00000121)

=0.0000037994

for copper

scu= π(0.0020/2)^2

=3.14(0.000001)

=0.00000314

resistance of aluminum

Ral=2.65(10)^-8mΩ x 15/0.0000037994

=2.65(10)^-8 x 15/3.7994

=0.001046

resistance of copper

Rcu= 1.68(10)^-8mΩ x 23/0.00000314

=1.68(10)^-8x 7.324

=0.0012304

The ratio of the resistance = 0.001046/0.0012304

=0.85013

therefore the final ratio of the wires was = 0.85013

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an electron beam in the middle of a set of helmholtz coils shows that the electrons travel along a circular trajectory. what is the feature of the magnetic fields in a set of helmholtz coils that lends itself to this demonstration? select the best answer.

Answers

A Helmholtz coil is a parallel pair of the same circular coils spaced one radius aside and wound so that the modern-day flows thru both coils in the same course.

A magnetic field is a vector discipline that describes the magnetic have and impact on shifting electric costs, electric currents, and magnetic substances. A moving fee in a magnetic area studies a force perpendicular to its own pace and to the magnetic discipline.

The magnetic area is an area around a magnetic fabric or a transferring electric-powered fee within which the force of magnetism acts. A magnetic field is a force field that is created by means of transferring electric-powered charges and magnetic dipoles and exerts a force on different nearby moving charges and magnetic dipoles.

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The moment of inertia for a point mass m and rotating around a radius of r is what?.

Answers

this proves that the moment of inertia of a point mass M rotating around an axis at a distance R is the same as the moment of inertia for a thin ring of mass M and radius R measured around its central axis.

All these are possible because a thin ring can be thought of as a collection of many point masses collectively making that ring.

The moment of inertia for a point mass m and rotating around a radius of r is inertia (I).

The moment of inertia of a point mass is the product of its mass and the square of its distance from the axis of rotation. Let the mass be M and the distance be R. So, the moment of inertia is

I= M[tex]R^{2}[/tex]

Now let's consider a thin ring of mass M and radius R. The ring is made up of infinite numbers of point masses. All these point masses are at an equal distance from the center which is equal to the radius of the ring. Let's divide the ring into N numbers of point masses each having an equal mass. So, the mass of each point mass is

M= M/N

All these point masses are at an equal distance from the center of the ring. And that distance is the radius R. So, the moment of inertia of each point mass is

I’ = m[tex]R^{2}[/tex]

Therefore, the total moment of inertia of the ring is

I = I’ +_ I’ + I’ +........up to N terms

=> I = NI’

=> I=Nm[tex]R^{2}[/tex]

=> I= N (M/N)[tex]R^{2}[/tex]

=> I= M[tex]R^{2}[/tex]

Similar to how mass determines the force needed to achieve the desired acceleration, a rigid body's moment of inertia, also known as its mass moment of inertia, angular mass, second moment of mass, or, more precisely, rotational inertia, is a property that determines the torque needed to achieve a desired angular acceleration about a rotational axis.

Depending on the axis selected and the distribution of the body's mass, a change in the body's rate of rotation will need a greater torque for larger moments.

The moment of inertia for a point mass is just the mass times the square of the distance perpendicular to the axis of rotation. This is an extensive (additive) property.

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What is the correct temperature unit for the ideal gas law, as given in the manual?.

Answers

The measurement must be in kelvins. If you are given a temperature in Celsius, don't forget to add 273.15 to the answer.

Which is the ideal gas law?

The macroscopic characteristics of ideal gases are related by the optimal gas law (PV = nRT). A gas is considered to be perfect if its atoms (a) do not interact with one another and (b) occupy no area (have no volume). Because the volume of the molecules and the forces between them are so little, neither one has any impact on how the gas behaves.

Why is the ideal gas law important?

Because it links the quantity of a gas (in terms of moles) towards its pressure, volume, and temperature, the ideal law of gases is the last and most usable statement of the gas laws. In chemical and industrial calculations involving gases, the ideal gas law is a vital tool.

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a smokestack has a diameter of 1.5 m and a height of 30 m. the smokestack is to be designed for a wind speed of 60 km/hr. determine the force (n) acting on the smokestack

Answers

The force formula is defined by Newton's second law of motion: The force exerted by an object is equal to its mass x acceleration: F = m ⨉ a.

Using this formula, must use SI units. Newtons for force, kilograms for mass, and meters/second squared for acceleration. A force is a push or pull on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. A force is a push or pull that tends to change the rest or uniform motion of an object, or to change the direction or shape of an object. This will accelerate the object. The SI unit is Newton.

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four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side. find the magnitude of electric field at the center of the square.

Answers

If four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side, the magnitude of electric field at the center of the square will be zero.

E = F / q

E = Electric field intensity

F = Force

q = Charge

They will all exert equal and opposite forces at the center of the square. So the diagonal forces will be equal in magnitude and opposite direction.

Let the four forces be Fa, Fb, Fc and Fd.

E = [ Fa + ( - Fb ) + Fc + ( - Fd ) ] / q

I Fa I = I Fb I = I Fc I = I Fd I

E = 0

Therefore, the magnitude of electric field at the center of the square will be zero.

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What would happen to the gravitational force felt between two objects if the radius between them were doubled?.

Answers

When the radius between of two objects is increased by a factor of 2, the gravitational force is reduced by a factor of 4 and the radius is doubled.

Mass-containing objects are pulled toward one another by the gravitational force. We regularly think about the Earth's gravitational attraction. This force maintains your body's position on the ground. Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be drawn by stronger gravitational forces. As a result, as two objects' relative masses increase, so does their gravitational pull to one another.

The distance between a circle's centre and circumference is known as its radius. The diameter is always twice as large as the radius. Therefore, the diameter is multiplied by two to get the formula.

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an eccentric hollywood movie producer, vacationing in australia, goes to an observatory and offers to make a big donation if they can show him a place in the milky way galaxy where there are more than a million stars seen together. which object would satisfy his extravagant tastes?

Answers

The object that would satisfy his extravagant tastes, The globular cluster Omega Centauri.

When the core temperature reaches about 100 million degrees helium begins to fuse into carbon through a reaction known as the triple-alpha process, converting three helium nuclei into one carbon atom. This creates a lot of heat. Red giants are dying stars in the final stages of stellar evolution.

In about 5 billion years, our Sun will transform into a red giant and expand to engulf the inner planets, possibly Earth. Stars entering the red giant stage are notorious for their rapid loss of mass. As noted above, the upper layer's gravity weakens and can be ejected into space by violent events such as the initiation of a helium flash within the core.

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How do you find kinetic energy with mass and speed in physics?.

Answers

The kinetic energy with mass and speed in physics K.E. = 1/2 m v².

If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms - meters squared/second. Kinetic energy is proportional to the square of velocity, so doubling velocity quadruples kinetic energy. The energy transferred is called kinetic energy and depends on the mass and velocity achieved.

Kinetic energy is transferred between bodies and converted into other types of energy. Equations of motion are a set of equations that describe the motion of an object with constant acceleration. Equations of motion require knowledge of derivatives rates of change and integrals.

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If B is added to A, under what condition does the resultant vector have a magnitude equal to A+B.​

Answers

If B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and b is zero or either magnitude of A or b is zero.

I A I = √ A . A

I B I= √ B . B

I A + B I = √ (A + B ) ( A + B )

I A + B I = √ AA + AB + BA + BB

I A + B I = √ I A I² + I B I² + 2 I A I I B I Cos θ   → ( 1 )

Given condition

I A + B I = I A I + I B I

I A + B I² = ( I A I + I B I )²

I A + B I² = I A I² + I B I² + 2 I A I I B I   → ( 2 )

Equating ( 1 ) and ( 2 ),

I A I² + I B I² + 2 I A I I B I Cos θ = I A I² + I B I² + 2 I A I I B I

2 I A I I B I Cos θ = 2 I A I I B I

I A I I B I ( cos θ - 1 ) = 0

So either,

I A I = 0

I B I = 0

cos θ - 1 = 0

cos θ = 1

θ = 0°

Therefore, if B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and B is zero or either magnitude of A or B is zero.

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