A motorcycle starts from rest and accelerates to a speed of 20 m/s in a time of 8s. What is the motorcycle’s average acceleration?

According to Special Relativity

two objects in relative motion always see the other moving through time slower.

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Answer: Carbon and oxygen combine together to give two compounds carbon dioxide (CO 2) and carbon monoxide (CO) Thus the ratio of different weights of oxygen (32 and 16) combining with a fixed weight of carbon (12) is 32 : 16 i.e. 2 :1, which is simple whole number ratio. Illustration 2:

Explanation:

Use the dot product identity,

[tex]\vec x \cdot \vec y = \|\vec x\| \|\vec y\| \cos(\theta)[/tex]

where [tex]\theta[/tex] is the measure of the angle between the two vectors [tex]\vec x,\vec y[/tex]. Note that

[tex]\vec x \cdot \vec x = \|\vec\| \|\vec x\| \cos(0) = \|\vec x\|^2[/tex]

Applying the identity to [tex]\vec x = \vec y = \vec A + \vec B[/tex] and using the distributive and commutative properties of the dot product, we get

[tex](\vec A + \vec B) \cdot (\vec A + \vec B) = (\vec A \cdot \vec A) + 2 (\vec A \cdot \vec B) + (\vec B \cdot \vec B)[/tex]

which is equivalent to

[tex]\|\vec A + \vec B\|^2 = \|\vec A\|^2 + 2\|\vec A\|\|\vec B\| \cos(\theta) + \|\vec B\|^2[/tex]

Now, we're given [tex]\|\vec A\| = 13.9[/tex], [tex]\|\vec B\| = 5.9[/tex], and [tex]\theta=53^\circ[/tex], so that

[tex]\|\vec A + \vec B\| = \sqrt{13.9^2 + 2\cdot13.9\cdot5.9\cos(53^\circ) + 5.9^2} \approx \boxed{18.1}[/tex]

A to find the total field you have to sum over all d's corresponding to each increment of length dx'. Summing of infinitesimals is called integration.

Combination is the computation of a vital. Integrals in math's are utilized to find numerous helpful amounts like regions, volumes, relocation, and so on. Researchers who predicted the idea of a basic, was the old Greek researcher Endous of Cnidus, who lived around 408-355 years BC. At the point when we talk about integrals, it is connected with typically unmistakable integrals. The endless integrals are utilized for antiderivatives. Vital conditions are arranged by three distinct divisions, making eight various types: Essential conditions are significant in numerous applications. The positive indispensable of a capability f (x) with lower cutoff and maximum breaking point b might be characterized as the distinction where F (x) is an antiderivative of the capability f (x).

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The magnitude of the vector is 43.81 units and the direction of the vector is 120.89 degrees with a +x-axis counterclockwise.

The length for a certain vector (let's say v) can be calculated by using the symbol |v|, which stands for the magnitude of a vector formula. In essence, this measurement represents the separation between the vector's starting and ending points. We apply the distance formula to get the vector's magnitude.

Its direction indicates where it points. Although vector direction can be expressed in a number of ways, degrees are the most frequent notation.

The magnitude of the given vector will be

[tex]\vec{r} &=x i+y j \\\vec{r}=-22.5 \hat{i}+37.6 \hat{j} \\{[\vec{r}] } &=\sqrt{(22.5)^2+(37.6)^2} \\&=43.81 units[/tex]

The direction of the vector will be

tanα=[tex]\frac{y}{x}\\[/tex]

[tex]=tan^{-1}(\frac{y}{x})\\=tan^{-1}(\frac{37.6}{22.5}\\=59.103 degree[/tex]

Therefore, the direction of the vector is 120.89 degrees with the +x-axis counterclockwise.

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The angle between the two pipes is 88.88°

The objective is to find the angle between the vectors u and v.

First, construct the vectors u and v,

The water main with 20% grade in the north direction is,

20% = rise/ run

rise/run = 20/100 = 1/5

That is rise = 1 and run = 5

Hence, rise corresponds to the z- component, and run corresponds to the y-component to the vector u. There is no x-component in this direction since the vector does not go to the east at all.

Therefore, the vector

                v = xi + yj + zk

Here x = 0, y = 5, z = 1

               v = 0i +5j +k is parallel to the pipe in the north direction.

The water main with 10% grade in the east direction is,

10% = rise/run

rise/run = 1/10

Thus, rise =1 and run = 10

Hence, rise corresponds to the z-components, and run corresponds to the x-components to the vector v. There is no y-component in this direction since the vector does not go to the north at all.

Therefore, the vector

         v = xi + yj + zk

Here x = 10, y = 0, z = 1

         v =10i +0j + k is parallel to the pipe in the east direction.

The angle between two vectors is,

Ф= [tex]cos^{-1} \frac{u-v}{|u| |v|}[/tex]

The dot product of the two vector u and v is,

u.v = (0.5,1).(10,0,1)

    = 0.10+5.0+1.1

    =1

The magnitude of these two vectors is,

|u| =[tex]\sqrt{x^{2} + y^{2}+z^{2} }[/tex]

|u| = [tex]\sqrt{0^{2} + 5^{2} +1^{2} }[/tex]

    =[tex]\sqrt{0+25+1}[/tex]

    = [tex]\sqrt{26}[/tex]

|v| = [tex]\sqrt{x^{2} + y^{2} +z^{2} }[/tex]

|v| = [tex]\sqrt{0^{2}+5^{2} +1^{2} }[/tex]

   = [tex]\sqrt{100+0+1}[/tex]

   =[tex]\sqrt{101}[/tex]

Therefore, the angle between the two pipes is,

Ф = [tex]cos^{-1} \frac{u-v}{|u||v|}[/tex]

   = [tex]cos^{-1}[/tex][tex]\frac{1}{\sqrt{26}\sqrt{101} }[/tex]

   ≈ 1.55rad

  = 88.88°

Hence, the angle between the two pipes is 88.88°

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The complete question is:

A water main is to be constructed with a ​20% grade in the north direction and a 10​% grade in the east direction. Determine the angle required in the water main for the turn from north to east.

The Earth's atmosphere blocks the sun's rays as they travel toward us. The atmosphere's layers act as a filter, allowing just the radiation needed to support life to pass through while blocking the dangerous radiation from reaching the Earth's surface. Our globe is warmed by the sun's energy as it travels through the atmosphere, supplying light energy for photosynthesis and powering the biogeochemical cycles in the Earth's systems. The object that cannot pass through, on the other hand, is reflected back into space.

The global temperature does, however, increase as more heat is trapped by the atmosphere. Global warming is the name of this occurrence.

Global warming is the phenomenon that results in a change in our climate. Natural calamities like wildfires, flooding, and severe storms occur more frequently when this happens.

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A ¹²C atom's mass is exactly 1u, or 1/12 of its mass. As a result, the mass of an atom of hydrogen is larger than one-twelfth the mass of an atom of ¹²C.

What is atomic mass  ?

Atomic mass is the amount of matter that makes up an element's atom. It is written as a multiple of 1.992646547 x  10^-23 gram, or one-twelfth of of the mass of the carbon-12 atom, which is given an atomic mass of 12 units.

A ¹²C atom's mass is equal to one-twelfth of the unified atomic mass unit.

1u = 1/12 m ¹²C  

Additionally, since 1 mole is equal to 6.022x10^23 atoms, the unified atomic mass unit is equal to the mass (in grams) of 1 mole of a substance. Accordingly, the unified atomic mass unit in grams is:

1u = 1 g/ mol x 1mol / 6.022 x 10^23atoms  = 1.66 x 10^-27 kg

From this definition, we can determine the mass of a 1H atom in relation to a ¹²C atom:

m¹H = 1.67 x 10 ^ -27 kg

As a result, a 1H atom has a mass that is larger than 1/12 that of a ¹²C atom.

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Question:

Given that mH = 1.007825 u, is the mass of a hydrogen atom 1H greater than, less than, or equal to 1/12 the mass of a 12C atom? Select the correct answer and explanation. Given that = 1.007825 , is the mass of a hydrogen atom greater than, less than, or equal to 1/12 the mass of a atom? Select the correct answer and explanation. 1/12 of the mass of a 12C atom is greater than 1 u. Therefore, the mass of the hydrogen atom is greater than 1/12 of the mass of a 12C atom. 1/12 of the mass of a 12C atom is less than 1 u. Therefore, the mass of the hydrogen atom is less than 1/12 of the mass of a 12C atom. 1/12 of the mass of a 12C atom is exactly 1 u. Therefore, the mass of the hydrogen atom is less than 1/12 of the mass of a 12C atom. 1/12 of the mass of a 12C atom is exactly 1 u. Therefore, the mass of the hydrogen atom is greater than 1/12 of the mass of a 12C atom. 1/12 of the mass of a 12C atom is exactly 1 u. Therefore, the mass of the hydrogen atom is equal to 1/12 of the mass of a 12C atom.

The acceleration of a car moving along straight road that increases its speed from 0 to 100 km/h in 10 s is 10 km/h-s.

The rate at which an object's velocity with the minimum time changes is called an accelerator in mechanics. They were the vector quantities and accelerations.

Acceleration has dimensions of velocity (L/T) divided by time, i.e. L T−2. SI unit of acceleration is the meter per second squared (m s−2); or "meter per second per second", as the velocity in meters per second changes by the acceleration value, every second

The direction of net load acting on an item affects the direction of its acceleration.

Average acceleration = (change in velocity)/(time it takes)

The acceleration of a car moving along straight road that increases its speed from 0 to 100 km/h is:

car's acceleration = (100 km/h)/(10 s) = 10 km/h/s

Thus, acceleration of a car moving along a straight road that increases its speed from 0 to 100 km/h in 10 s is 10 km/h-s.

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The lines there’s nothing like the freedom of the open road are taken from the poem Song of the open road. The road in the poem signifies the symbol of freedom.

These lines are from the poem "Song of the Open Road”  written by Walt Whitman. In the poem, a journey characterized by freedom, and independence is described. The road in the poem is a symbol of self-awareness and freedom as the author travels along the road.

Whitman describes that the journey includes a test of the wisdom of the soul, revealed through provoking questions and experiences.

The poem also conveys the narrator's joy and happiness in being on the open road, which converts into a love of freedom and the open spaces that are the outdoors.

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Answer:

0.3km/min

Explanation:

2.4/8=24/80=3/10=0.3

Correct question is -

A student is provided with a battery-powered toy car that the manufacturer claims will always operate at a constant speed. The student must design an experiment in order to test the validity of the claim. Which of the following measuring tools can the student use to test the validity of the claim?

a. Photogates placed at the beginning, end, and at various locations along the track that the car travels on.

b. A meterstick to measure the distance of the track that the car travels on.

c. A motion detector that is oriented perpendicular to the direction that the car travels.

d. A mass balance to determine the mass of the car

a. Photogates positioned at the beginning, give up, and at numerous locations along the music that the car travels on.

b. A meterstick to degree the distance of the track that the automobile travels on.

on this scenario, a student is provided with a battery-powered toy vehicle that the manufacturer claims will continually function at a consistent speed. The student have to layout an test so as to check the validity of the declare.

consequently, to check the validity of the declare, the student must use the following measuring tools;

subsequently, with those two gadgets the student can successfully measure or determine the validity of the declare.

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Their final velocity would be 0.118 m/s

Calculation

M1= 168000kg, V1= 0.291 m/s

M2= 117000kg, V2 = 0.128 m/s

According to conservation of momentum,

M1V1 + M2V2 = V(M1+M2)

⇒V = [tex]\frac{168000 * 0.291-117000*0.128}{168000+117000}[/tex]

=[tex]\frac{48888-14976}{285000}[/tex]

=0.118 m/s

Thus, the trains will finally get to the velocity of 0.118 m/s

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Answer:

alright

Explanation:

that's so cool I'll join

Answer: yes

Explanation:

so basically i need points

The correct answer is a) r = 30.7, b) r = 50 c) 0.822 cm

(a)

According to Snell's laws :

The incident ray, the refracted ray, and their normal boundaries between the two media all lie on the same plane.

i = 50o

Using Snell's Law

ni × sin(i) = nr × sin(r)

1.0 × sin(50) = 1.5 × sin(r)

r = 30.7

(b)

The Angle of refraction will be same as Angle of incidence, i = 50

So,

Final Angle of refraction, r = 50

(c)

Thickness, t = 5.0 cm

Difference = t  ×  [sin(50) - sin(30.7)]

x = 5.0  ×  [sin(50) - sin(30.7)]

x = 1.28 cm

The ray is displaced by , = 1.28 × sin(90 - 50) cm

= 0.822 cm

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When a body moves in a simple harmonic motion, its acceleration at the end of its path is more than that of the acceleration at equilibrium.

The acceleration of the body moving in Simple Harmonic Motion(SHM) is given by,

Acceleration = ω^2 A

Here w is the angular velocity of the body and A is the amplitude.

A is the maximum distance of the body from the equilibrium position.

When the body is at an equilibrium position, its amplitude is equal to zero.

Hence, acceleration = ω^2 x 0 = 0

When the body is at the end of its path, its amplitude is equal to A.

Hence, acceleration = ω^2 x A

Therefore,

when a body moves in a simple harmonic motion, its acceleration at the end of its path is more than that of the acceleration at equilibrium.

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The mass of the box which the fisherman applies a horizontal force is 13.18 Kg

To solve this exercise, the formula and procedure to be applied are:

F = m * a

Where:

Information about the problem:

Applying the force formula and isolating the mass, we get:

F = m * a

m = F/a

m = 43.5 Kg * m/s² / 3.30 m/s2

m = 13.18 Kg

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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A moving average can be used to smooth:3) irregular variation

What is irregular variation ?

Irregular with the aid of its call says “wrong”. these are those variations which aren't predictable. They do now not observe some pattern which may be expected. It totally follows in opposition to the rules. It includes the pandemic, endemic, other sicknesses spread, environmental disasters, and irregular variation. greater particularly, floods, earthquakes, draughts, and many others comes under the umbrella of irregular variations.

In time series, we do no longer make any estimation of parameters or speculation checking out. The simplest purpose is to find the versions/trends in facts. this alteration may be everyday or irregular. ordinary variations includes linear, seasonal, and cyclic variations. whereas, abnormal variations are all rest of the variations that aren't blanketed with the aid of the everyday versions. those irregular variations are never predictable. We don't have any facts about the length of this alteration, whether it's miles short time period or long time variation. moreover, irregular variations are stationary variations.

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The distance fallen for a ball in free fall 1s from a rest positon. Hence it falls 5m in 1s and 125m in 5s.

Initial velocity (u) = 0

Gravitational acceleration (g) (g) = 10 m/s2

Using equation of motion,

S=ut+1/2 at2

for t=1s, a=g , u=0

s=0×t + 1/2g ×1

s= 1/2 × 10

s= 5 m

t=5s,

s=0×t + 1/2g ×5×5

s= 1/2 × 10 × 25

s= 5 × 25

s= 125 m

The distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person.

a line is drawn in the universe.

To walk seven miles in one hour would be too time-consuming.

a big area:

A wide body of water encircled the ship.

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Its acceleration is parallel to the x-axis

Using Newton Second Law of motion

Where M is mass of the object, [tex]\overrightarrow{F}[/tex] = Net force,[tex]\overrightarrow{a}[/tex] = acceleration.

Thus net force and acceleration has always the same direction.

Now net force on the box is in the positive x-direction then acceleration on the box is in the positive x-direction.

Acceleration is given by

[tex]\overrightarrow{a}[/tex] = [tex]\frac{d\overrightarrow{v}}{dt}[/tex]

Where [tex]\overrightarrow{v}[/tex] = velocity of the box and t = time

thus acceleration is parallel to change in velocity but not velocity. Thus it is not necessary that velocity of the box is parallel to the x-axis. Because if initially box is moving in arbitary direction then only its x-component of velocity changes only but another component of velocity remain same.

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The pressure as a function of the distance from the surface is 101325 + 10055.25h

One must go h = 10.1 m down before the pressure is 1 atm greater than the pressure at the surface.

In order to determine absolute pressure, a complete vacuum is used. In contrast, gauge pressure is the amount of pressure that is measured in relation to atmospheric pressure, also referred to as barometric pressure. The average barometric pressure at sea level is 14.7 PSIA, while the absolute pressure of a complete vacuum is 0 PSIA.

The pressure at sea level =  1 atm = 101325 Pa

Density of sea water = 1025 kg/ m^(3)

Pressure due to fluid height = pgh

Absolute pressure = 101325 + 1025(9.81) h

= 101325 + 10055.25h

where h= 0 at sea level at increases downward

101325 = 1025(9.81)h

h = 10.1 m

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The complete question is:

"If the water in a lake is everywhere at rest, what is the pressure as a function of distance from the surface? The air above the surface of the water is at standard sea-level atmospheric conditions. How far down must one go before the pressure is 1 atm greater than the pressure at the surface?"

At least eight different genes have inherited mutations that cause the disease xeroderma pigmentosum. More than half of all cases in the US have mutations in the XPC, ERCC2, or POLH genes.

An alteration to an organism's DNA sequence is known as a mutation. Viral infection, mistakes in DNA replication during cell division, and exposure to mutagens are all ways in which mutations can develop.

Examples of inherited mutations include sickle cell disease, hemophilia, and cystic fibrosis. Additional mutations could happen naturally at any time during a person's lifetime. They're known as novel mutations. The damaged cells are small in number.

An alteration to an organism's DNA sequence is known as a mutation. Viral infection, mistakes in DNA replication during cell division, and exposure to mutagens are all ways in which mutations can develop.

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The volume of mercury is in the vial 28.71 cm³

Once you are aware of the mass of the mercury, you may calculate the volume of the vial by using the density of the mercury to determine its mass.

You are aware that the vial including the mercury weighs 439.31 g.

The vial weighs vial=50.90 g.

This indicates that the mercury will have a mass of mercury=439.31 g

50.90 g=388.41 g.

You now are aware that the density of mercury is 13.53 g/cm3.

The mass of 1 cm³ of mercury is 13.53 g.

Your sample will have a volume of 388.41g/1 cm³/13.53g = 28.71 cm.

Four sig figs, the number of sig figs you have for the mass of the empty vial, is the answer, which is rounded to four sig figs.

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Velocity of the current is 2.7 m/s and the velocity of the boat relative to the water is 4.8 m/s.

The pace at which a moving object's location changes as seen from a specific frame of reference and as measured by a specific time standard is known as its velocity. In kinematics, the area of classical mechanics that studies how bodies move, velocity is a fundamental idea.

Given:

[tex]West\;of\;north\;angle,\;\alpha=56\;^{\circ}[/tex]

[tex]Velocity\;of\;boat\;relative\;to\;shore,\;V_{b} = 4 m/s[/tex]

From the right angle triangle ABC, (see the attached figure)

[tex]sin\;\alpha=\frac{V_{b} }{V_{b,c} }[/tex]

[tex]V_{b,c}=\frac{V_{b} }{sin\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{b,c}=\frac{4}{sin\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;boat\;relative\;to\;water,V_{b,c}=4.8\;m/s[/tex]

[tex]cos\;\alpha=\frac{V_{c} }{V_{b,c} }[/tex]

[tex]V_{c}={V_{b,c}}\times{cos\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{c}={4.8}\times{cos\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;current,\;V_{c}=2.7\;m/s[/tex]

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when driving at 60 mph, in four seconds, you've travelled 107.29 m

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

We'll begin by converting 60 mph to m/s. This can be o btained as follow:

1 mph = 0.44704 m/s

Therefore,

60 mph = (60 mph × 0.44704 m/s) / 1 mph

60 mph = 26.8224 m/s

The distance travelled can be obtained as follow:

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 26.8224 × 4

Distance = 107.29 m

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The momentum of the car, given the data d from the question is 0.0462 Kg.m/s

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

With the above formula, we can determine the momentum of the car. Details below

The momentum of the car can be on rained as follow:

Momentum = mass × velocity

Momentum of car = 0.03 × 1.54

Momentum of car = 0.0462 Kg.m/s

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the calculated displacement is 1000 m.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included. The following equation can be used to determine distance from acceleration: D = v*t + 1/2*a*t2. where and is the acceleration, t is the passage of time, and v is the velocity.

Velocity= 25 m/s

time= 40 seconds

displacement= velocity x time

=25 x 40

=1000 m

the calculated displacement is 1000 m.

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