What is displacement?
A an action exerted on a body in order to change the body's state of rest or motion
B the distance traveled divided by the time interval during which the motion occurred
the change in position of an object
Dan object's change in position relative to a reference point

If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

Then, according to the Road Traffic Act of 1988, you should report the accident to a nearby police station or Blue cross within 24 Hours.

The next humane thing you can do is to clear it to safe spot away from the road if it is a wild animal and in case of a wild animal and if it is a pet you should call the owner.

Therefore, If you are in the unfortunate event of having a collision with an animal the first thing you should do is to slow down the vehicle to a stop along the edge of the road and check whether the other passengers are safe.

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The range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

According to equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Since the conveyor belt is at a height of 1.4 m, it has a vertical motion when falling from the conveyer belt.

h = 1 / 2 gt²

1.4 = 1 / 2 * 9.8 * t²

t = √ 0.29

t = 0.54 seconds

The range is the horizontal distance covered,

[tex]d_{x}[/tex] = [tex]V_{x}[/tex] * t

[tex]d_{x}[/tex] = 3 * 0.54

[tex]d_{x}[/tex] = 1.62 m

Therefore, the range of each Amazon box that are launched from a horizontal conveyor belt is 1.62 m.

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For motion along a straight line it NOT possible for speed to be constant while acceleration is not zero.

If the acceleration is not zero means that the speed has changed whether to higher (positive acceleration) or lower (negative acceleration) if the object is slowing down.

When the speed is constant, it means that the velocity at the beginning of the motion and the velocity at the ending of the motion are the same.

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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The minimum diameter of a steel wire is 1.41mm

STRESS : The restoring force per unit area. unit of stress is N/m²

     It is denoted by σ

      σ = F/ A

Where σ = stress

F = force

A = area

force = ma

Area of a steel wire is πr²

2r = d

so area becomes

π(d/2)² =πd²/4

here , mass = 80kg

elastic limit = 5.0×10⁸kg

using these values

σ = mg/ πr²

5×10⁸ = 80×10³ × 9.8/ π*d²/4

π *d²/4 = 784 ×10³ /  5×10⁸

           = 156.8 ×10⁻⁵

   d² = 19.9×10⁻⁵

   d = 1.41 mm

The minimum diameter of a steel wire is 1.41mm

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Potential energy is present in the river water behind a dam.

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The derivative of the function is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

y = [tex]x^{4sin x}[/tex]

Taking the log of both sides:

ln y = sin x ln [tex]x^{4}[/tex] = (sin x) * (4 ln x) = 4 (sin x)(ln x)

Now differentiate both sides.  On the left you'll need to use the chain rule, and on the right you'll use the product rule:

1/y dy/dx = 4[(sin x) (1/x) + (cos x)(ln x)] = 4 [(sin x) / x + (cos x)(ln x)]

Multiply both sides by y

dy/dx = y * 4 [(sin x) / x + (cos x)(ln x)]

Since y = [tex]x^{4sinx}[/tex], we can rewrite this as:

dy/dx = [tex]x^{4sinx}[/tex] * 4 [(sin x) / x + (cos x)(ln x)]

dy/dx = 4[tex]x^{4sinx}[/tex] [(sin x) / x + (cos x)(ln x)]

Chain rule is the formula used to find the derivative of a composite function. Product rule is used to find derivative of products of two or more functions.

Therefore, the derivative of the function y = [tex]x^{4sin x}[/tex] is dy/dx = 4([tex]x^{4sinx}[/tex])[(sin x) / x + (cos x) (ln x)]

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The statement is True.  

Neurons have a net negative charge when it is at rest. This means that when they are well active, they must have a positive charge.

At rest, neurons have a net negative charge; the inside of neurons is approximately 70 millivolts more negative than the outside. When neurons are active, they must be positively charged in order to generate an action potential.

Neurons have a strong negative charge within them, as opposed to a positive charge outside. This is due to the presence of other molecules known as anions. They are negatively charged but far too large to escape through any available channel. They remain in place and give the cell a negative charge on the inside.

Because of an unequal distribution of positive ions across the membrane, the resting potential is negative; 3 Na+ is pumped out of the cell for every 2 K+ that enters, so the inside of the cell is less negative (less positive) than its surroundings.

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Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

Aristotle from Classic Greece and Ptolemy from Roman Egypt agreed on three facts:

This model of the solar system with Earth in the center is called as Geocentric model.

Therefore, Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.

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When a solution's pH increases from 6.40 to 8.40. is 100 times smaller.

In chemistry, a solution is a homogeneous mixture of two or more compounds in their relative proportions, which can be constantly changed up to what is known as the limit of solubility. Although solutions of gases and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.

Solutions that are isotonic, hypotonic, and hypertonic (tonicity).

Any of the phases of matter can dissolve in another phase in a solution, which is a homogenous mixture of molecules. Solution chemistry is crucial because the majority of chemical reactions, whether they occur in a lab or in nature, take place in solutions, whether they involve solids, liquids, or gases.

pH = -log [H+]

6.4 = -log [H+]

[H+] = 3.981*10^-7 M

pH = -log [H+]

8.4 = -log [H+]

[H+] = 3.981*10^-9 M

We can see that [H+] at 8.40 is lower by 100 times as compared to [H+] at pH = 6.40.

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Answer:

False

Explanation:

Physical properties can be measured without changing the composition of the substance. Physical properties of matter include color, hardness, malleability, solubility, electrical conductivity, density, melting point, and boiling point.

However, the chemical properties have to be measured by changing the composition of the substance.

Have a lovely rest of your day! :)

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field. Which helped researchers to understand how certain tasks influence brain activity.

It isn't. Invaluable tool to study the large scale brain activity. And interactions with the body.

MEG was developed in 1960s .

In this technique weak magnetic forces associated with electrical activities of brain are monitored .

It collects activity from neurons visualized as brain waves and it is used with MRI in magnetic source imaging.

Med fields passes through the head without any distortion.

It provides a Spatial and temporal resolution.

Magnetoencephalography (MEG) allows researchers to examine the brain's magnetic field.

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Mass of substance is 0.6324 kg

Given:

volume = V = 680ml = 0.68 L

density = D = 0.930

To Find:

mass in kg

Solution: mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force.

Density = mass/volume

mass = Density x Volume = 0.93 x 680

Mass = 0.6324 kg

Hence, the mass of substance is 0.6324 kg

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Answer:

(a) At U = 3, 9 , v = 4, 2, the projection of u onto v is w1=<2,8>

(b)At U = 3, 9 , v = 4, 2,  the vector component of u orthogonal to v is w2 = <4,-1>

Explanation:

A

The projection of u onto v is given by:

w1= projvu = (u⋅v||v||2)v

Given that  u= <6,7> and v=<1,4>, we can find the projection of u onto v as shown below:

w1= projvu = (u⋅v||v||2v=(<6,7>⋅<1,4><1,4>⋅<1,)

=(6⋅1+7⋅41⋅1+4⋅4)<1,4>

=3417<1,4>

=<2,8>

Part B

The vector component of u orthogonal to v is given by:

Using the given vectors and the projection found in part (a), we can find the vector component of u orthogonal to v as shown below:

w2=u−projvu

=<6,7≻<2,8>

=<(6−2),(7−8)>

=<4,−1>

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Answer:

approx  33 ft

Explanation:

 One atmosphere of pressure is added per 33 ft of depth

A point on a standing wave that is always stationary is an antinode.

An antinode is the location where constructive interference of the incoming and reflected waves creates the maximum amplitude of the wave.

Antinodes are points on a stationary wave that oscillate with maximum amplitude.

Nodes are points of zero amplitude and appear to be fixed.

Thus, a point on a standing wave that is always stationary is an antinode.

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By using uniform motion, the acceleration of plane is - 10.45 m/s² .

We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time interval and s is displacement.

From the question above, we know that:

vi = 115 m/s

vt = 0

t = 11 s

By using first equation, we can calculate the acceleration

vt = vo + a . t

0 = 115 + a . 11

11a = -115

a = - 10.45 m/s²

Hence, the acceleration of plane is - 10.45 m/s² .

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The  empirical   formula  is KClO₃

Empirical formula - The simplest whole no. combination of element in that compound.

The  empirical  formula of the  compound is  calculated :

sample of compound (mass) ,M = 23.23g

potassium, k, = 7.41 g

 chlorine, cl,=  6.72

 oxygen, o, = ?

  [tex]M = k_{m} + Cl_{n} + o_{p}[/tex]

23.23g = 7.41g + 6.72g + o

o = 9.1g

the  moles  of  each  element,  (moles)  = mass/  molar  mass

moles of   K  =  7.41g/39 g/mol(molar  mass  of K)  =  0.18  moles

moles  of Cl = 6.72g/35.5 g/mol(molar  mass  of Cl) =  0.18 moles

moles of  O  =  9.1g/ 16g/mol(molar  mass of  O) = 0.57 moles

then  calculate e  mole ratio by  dividing  each  mole  by  the  smallest  number  of  moles  (  0.18 moles)

K= 0.18/0.18= 1

Cl=0.18/0.18=1

O=  0.56/0.18=3

Hence  the  empirical   formula  = KClO₃

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The ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

We know that,

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

where,

[ [tex]A^{-1}[/tex] ] represents deprotonated form

[ HA ] represents protonated form

Given that,

pH = 6.4

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

6.4 = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

[ [tex]A^{-1}[/tex] ] / [ HA ] = [tex]10^{6.4 - pK_{a} }[/tex]

The relationship between pH and p[tex]K_{a}[/tex] shown above is known as Henderson-Hasselbach equation

Therefore, the ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

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The correct answer is Option B) Open.

A schematic can tell an electrician that the switches are normally open

until the sensor senses smoke.

A simple, understandable graphical representation of a plan or model is called a schematic diagram. Simple lines and symbols are used in schematics to convey details like what, how, and where. A schematic diagram's primary role is to highlight circuit components and the relationships between them. Schematics are a very useful tool for troubleshooting since they show which parts are connected in series or parallel and how.

An example of an electrical switch is one that is normally open. A typically open switch remains "off" when it is not compressed. The inside electrical connections are to blame for this. In a typically open switch, the contacts are open when the switch is off. This indicates that the switch is "off" because the electrical connection is damaged.

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The maximum use voltage level for electrical insulating gloves with a beige label is 17000 v AC.

To prevent burns and electrical shocks, users should wear electrically insulated rubber gloves. To shield workers from electrical shock, these are constructed of dielectric materials. Electricians working on electrical lines don rubber gloves, sometimes known as lineman's gloves. The gloves are tested at voltages higher than those for which they are rated. Rubber insulating gloves are the first line of defense, offering protection against shock and electrocution when coming into touch with electrified electrical parts and equipment, in contrast to arc flash protective suits, which are intended to lessen or eliminate injuries after an incident occurs. Rubber is a reliable form of shock protection because it doesn't conduct electricity. Rubber is a natural insulator, thus it will prevent electric currents from passing through your skin, unlike many other materials that behave as conductors.

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Answer:

Physics is a scientific discipline that seeks to construct and experimentally test theories of the physical universe. These theories vary in their scope and can be organized into several distinct branches.

MECHANICS :

Mechanics is the branch of physics that deals with the motion of an object without or with the reference of force. Mechanics can be further divided into two branches, namely quantum mechanics and classical mechanics. Quantum mechanics deals with the behaviour of the smallest particles like neutrons, protons, and electrons, while classical mechanics is the branch that deals with laws of motion of forces and physical objects.

OPTICS :

This branch of physics deals with the behaviour, propagation, and properties of light. Optics can be simply described as the study of the behaviour of infrared light, visible light, and ultraviolet.

THERMODYNAMICS:

Thermodynamics deals with the study of heat and its relation with work and energy. Thermodynamics also deals with the transmission of heat energy by means of convection, conduction, and radiation.

ELECTROMAGNETISM:

Electromagnetism deals with the study of electromagnetic force like electric fields, light, magnetic fields, etc. There are two aspects of electromagnetism which are “electricity” and “magnetism”.

RELATIVITY:

This branch of physics deals with the theorem that was formulated by Albert Einstein. The theory of relativity states that space and time are relative and all the motion must be relative to a frame of reference.

ACOUSTICS :

Acoustics deals with the study of sound and its transmission, production, and effects. Acoustics mainly involves the mechanical waves in gases, liquids, and solids, which include vibration, sound, ultrasound, and infrasound.

More iron could be found from the cores of the other terrestrial planets. Option A

Iron is one of the elements that could be found on earth. This element is present in abundant amounts in the earth's core and ranks as the fourth most abundant element in the core of the earth.

The earth has a lot more deposit of iron in it. We know that earth lies at the center of the solar system for the sole reason that it is habitable. No other planet in the solar system is habitable though efforts are underway to make the other planets equally habitable.

Iron can also be found in the cores of other terrestrial planets but the amounts may be less than the amount of iron that is found on earth. As such, If earth experienced an iron shortage, astronomers could direct cosmic mining equipment to the  cores of the other terrestrial planets find more.

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A person travelled a distance of 0.32m in coming to a complete stop.

Acceleration - Acceleration is the rate of change of velocity with respect to time.

The distance travelled is calculated as  

Time t = 33ms = 33/1000 = 0.033s

Acceleration a = 60g

g = 9.8 m/s²

a = 60g = 60 × 9.8 = 588 m/s²

The person must be moving at a certain initial velocity.

Since the person is going to stop, V = 0

using equation of motion we get

V = U - at

0 = U - 588 × 0.033

0 = U - 19.404

U = 19.404 m/s

The distance travelled is

using equation of motion

V² = U² - 2aS

0 = (19.404)² - 2 × 588S

1176S = 376.51

S = 376.51 / 1176

S = 0.32 m

the distance is 0.32m

The person travelled a distance of 0.32m in coming to a complete stop.

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The ball will take 0.45 seconds to reach the ground

We will use Newton’s laws of motion, so

H= [tex](1/2)gt^2[/tex] taking height= 1m

[tex]1= (1/2) x 9.8 x t^2[/tex]

[tex]t=\sqrt{10/49} = 0.45 seconds[/tex]

The 3 laws of motion given by Newton are as follows:

1) Unless an unbalanced force acts upon it, an item at rest remains at rest, and an object in motion continues to move in a straight line at a constant pace.

2) An object's acceleration is influenced by its mass and the force being applied.

3) Whenever one thing applies force to another, the second object applies the opposing, equal force to the first.

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a) Yes, there is one outlier (lower).

b) The boxplot can be seen with the image as attached below.

Looking at the distribution of the lower/smallest observation, we can see that there is a value in the lower/smallest that is very far from others. See the attached diagram of the boxplot to understand it better.

The median is the line in the middle of the boxplot.

The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile, and the upper box line (just above the median) is 3rd quartile.

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Complete Question

A sample of 20 glass bottles of a particular type was selected, and the internal pressure strength of each bottle was determined. consider the following partial sample information.

median = 202.1

lower fourth= 196.0

upper fourth= 216.8

three smallest observation 125.8 188.1 193.7

three largest observations 221.3 230.5 250.2

a. Are there any outliers in the sample? Any extreme outliers?

b. Construct a boxplot that shows outliers, and comment on any interesting features

(a) Duration of the ball's flight is 2.5S

(b) Angle of its velocity is 16.1

(c) Speed of the ball is 22.53 m/s

(a). To determine the duration of the ball's flight in

We calculate the whole time when the ball touches the ground, thus we enter y=0 and all other specified values in the equation.

[tex]25sin30t-1/210t^{2} = 0[/tex]

[tex]t = 2.5 s[/tex]

(b) After it has been in the air for one-fourth of this period, determine the angle of its velocity with respect to the ground.

t1=1/4 t = 2.5/4 = 0.625 s

[tex]v_{x} = 25\sqrt{3} /2 m/s[/tex]

[tex]v_{y} = 25/2 - 2.5/2 = 12.5/2 m/s[/tex]

∅= 16.1

(c) To determine speed of the ball for time [tex]t_{1} ,t_{2} , t_{3}[/tex]

[tex]v=\sqrt{v} ^{2}{x} + \sqrt{v} ^{2} y_{}[/tex]

vt1 = 22.53 m/s

vt2 = 21.65 m/s

vt3 = 22.53 m/s

The turning point on the corresponding parabolic curve is where the speed is at its lowest in the xx direction. Physically speaking, the shift in speed does make sense. The ball's initial motion against gravity causes its speed to decrease, but after it reaches the turning point, its speed begins to increase as it descends.

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​

The scientists will search and do more research about it

Gold foil experiment

Ernst Rutherford conducted the Gold Foil Experiment in which α particles (doubly charged Helium Atoms) were bombarded on a thin gold foil. This experiment led to the discovery of the nucleus.

1) Most of the particles passed through undeflected

⇒ this meant that most of an atom is empty space

2) Some Alpha particles were deflected by some small angles

⇒ Since alpha particles are positively charged species , they can only be deflected if there are some positively charged atoms present that would repulse these particles.

3) A few ( about 1/20000 particles) bounced back

⇒There is a heavy mass of positively charged species in the atom , and since the alpha particles bounced back , this mass of positively charged species must have been highly dense.

Therefore, from these observations and inferences Rutherford concluded that most of an atom is empty space and there is a mass of positively charged particles in the center of the atom called the nucleus which contains protons. The electrons revolve around this nucleus at high speeds.

The mass of the atom is concentrated in the nucleus and is very small in size , making it highly dense.

The temperature required to increase the reaction rate by 7.50 times will be 332.63 K .

The speed at which a chemical reaction proceeds is known as the reaction rate.

We are given that ,

The activation energy = E = 43.41 kj/mol

Initial temperature = T₁ = 317 k

Therefore we can write as, the temperature at which reaction has 7.50 times faster than at 317 K be T₂ . Then the rate of a reaction increases because the rate constant increases with temperature.

The relation between temperatures, rate constants, and activation energy is given as,

(k₁/k₂) = E/R [(1/T₁ ) - (1/T₂)]

Where, k₁ is rate constant at temperature T₁ and k₂  is rate constant at temperature T₂ & R is gas constant having value 8.314 j/kmol .

Thus putting all the given values in above equation then we get,

7.50k/k = (434100 j/mol)/(8.314j/kmol)[(1/317k) - (1/T₂)]

7.50 =  52213.1344 k [ 0.00315 k⁻¹ - 1/T₂]

1/T₂ = 0.00315 K⁻¹  - (7.50/52213.1344)

T₂ = 332.63 K

Therefore the temperature required to increase the reaction rate by 7.50 times is given as T₂ = 332.63 K

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Answer:

stimulus

Explanation: