Two airplanes leave an airport at the same
time. The velocity of the first airplane is
710 m/h at a heading of 27.5
◦
. The velocity
of the second is 650 m/h at a heading of 167◦
.
How far apart are they after 3.3 h?
Answer in units of m.

The speed of the sound in standard notation is 1,470 m/s.

A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules.

The speed of the sound in water can be written in standard notation as follows;

1.47 X 10^3 m/s = 1,470 m/s

Thus, the speed of the sound in standard notation is 1,470 m/s.

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The acceleration of the wishbone is 13.08 m/s².

Acceleration is the rate of change of velocity. The S.I unit of acceleration is m/s².

To calculate the initial acceleration of the wishbone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the wishbone is 13.08 m/s².

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Answer:

Explanation:

g

Answer: 0.87m

Explanation: 100 centimeters equal to 1 meter or one centimeter equal to one-hundredth

According to the resistance, the resistivity of wire material is 1.37 x 10¯⁷ Ωm.

We need to know about the resistance of conductive material to solve this problem. Resistance can be defined as the ratio of the voltage applied to current flow It can be written as

R = V / I

where R is resistance, V is voltage and I is current.

The resistance of the material depends on its resistivity and follows this equation

R = ρ . L / A

where ρ is resistivity, L is the length of the material and A is the surface.

From the question above, we know that

V = 4.5 V

L = 2.5 m

r = 0.654 mm = 6.54 x 10¯⁴ m

I = 17.6 A

Find the surface area

A = π . r²

A = π . ( 6.54 x 10¯⁴ )²

A = 1.34 x 10¯⁶ m²

Find the resistivity of the wire

R = V / I

ρ . 2.5 / (1.34 x 10¯⁶)= 4.5 / 17.6

ρ = 1.37 x 10¯⁷ Ωm

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Distance between them is decrease by an element of 0.21

Evaluating :

Two point charges are brought closer together, increasing the force by an element of 22

Let the first force be

F = [tex]\frac{kq_{1} q_{2} }{r^{2} } ...........1[/tex]

where q₁ q₂ are charges and r is that the distance between  new force                             F' = [tex]\frac{Kq_{1} q_{2} }{r^{2} } ................2[/tex]

                       divide  equation 1 & 2

[tex]\frac{F}{F'}[/tex] = [tex]\frac{r^{2} }{r'^{2} }[/tex]

[tex]22= \frac{r^{2} }{r'^{2} }[/tex]

r' = [tex]\frac{r}{\sqrt{22} }[/tex] ≈0.213r

F₁ represents the first electric force between the two point charges.

F₂ represents the new electric force between the 2 point charges.

r₁ represents the first separation distance between the two point charge.

r₂ represents the new separation distance between the 2 point charge.

Distance between them is decrease by an element of 0.21

Electric Force:

The term 'electric force' exists when two or more electric charges are situated at a specific distance. The variation of electrical force with point charge magnitude is a linear one, whereas the variation of electrical force with the separation distance between the charges is an inversely square one.

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The actual diameter of the cell would be 0.1 mm.

The magnification caused by the ocular lens is 10x, while the magnification caused by the objective lens is 40x.

As a result, the entire setup will have a 400x overall magnification.

This signifies that a 400x magnification will be applied to an object with a diameter of x m.

The magnified cell in the aforementioned scenario has a diameter of 40 mm.

The amplified diameter is 400x when the true diameter is x.

Hence 400x = 40 mm x

                     = 40 mm/400x

                     = 0.1 mm

As a result, the cell's real diameter would be 0.1 mm.

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A star is moving directly toward earth at a large fraction of the speed of light. The light we observe from this star compared to the light received from the same star if it were at rest relative to earth will be blueshifted.

The elements of Earth are land, air, water, and life. Mountains, valleys, and flat places can all be found on the ground. Different gases, namely nitrogen and oxygen, make up the air. Rain, snow, ice, rivers, lakes, oceans, and streams are all examples of water. Doppler shift is the term used in physics to describe this phenomena, which is the alteration in wave frequency caused by an observer moving in respect to the source.

But much like the other planets, Earth is a planet that exists in space and is a part of the cosmos. It so happens that life exists here and that the conditions close to this planet's surface are favourable for life as we know it. The tiny, delicate planet Earth stands out in the universe.

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Answer:

c. an electron is the particle of an atom that is negatively charged

Explanation:

the other statements are not the best at defining an electron

Erwin Schrödinger developed the equation that allowed the energy of the electron to be described quantum mechanically.

Erwin Schrödinger, an Austrian physicist, proposed that the behavior of electrons within atoms might be explained by considering them mathematically as matter waves, which was based on de Broglie's hypothesis that particles could display wavelike behavior.

The wave equation developed by Nobel Prize-winning Austrian physicist Erwin Schrödinger fundamentally altered the way quantum theory was thought about.

Schrodinger's famous Erwin Schrodinger equation, one of the pillars of quantum physics, was uncovered in 1926. He explained how a physical system's quantum state changes over time using differential equations.

The Schrödinger equation, which defines how the wave function, a quantity that characterizes a particle's wave characteristics, evolves, is the work of Erwin Schrödinger and is its most famous application.

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Answer:

See below

Explanation:

Ignoring air friction...X will be moving the same speed as Y

vf = at

  = 9.81 m/s^2 * 1 s = 9.81 m/s

The average velocity of an object which changes it's displacement by 3.50 meters in a time of 1.20 seconds is 2.92 m / s

v = Δx / t

v = Average velocity

Δx = Displacement

t = Time

Δx = 3.5 m

t = 1.2 s

v = 3.5 / 1.2

v = 2.92 m / s

Average velocity is the average value of velocity of an object in a given amount of time. It is denoted as v.

Therefore, the average velocity of an object which changes it's displacement by 3.50 meters in a time of 1.20 seconds is 2.92 m / s

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The average power is 0.1570 W.

Piano wire weighs 3.50 g.

Size: 83.0 cm

Tension = 35.0 N

120 Hz is the frequency.

Suppose we need to determine the average power carried by the wave with an amplitude of 1.20 mm.

We need to calculate the angular frequency

Using formula of frequency

ω = 2[tex]\pi[/tex]f

ω = 753.9 rad/sec

We need to calculate the linear density

Using formula of linear density

μ = M/l

μ = [tex]4.21[/tex] ×[tex]10^{-3}[/tex] kg/m

We need to calculate the average power

[tex]P_{avg}[/tex] = 0.1570 W

Physics refers to power as the amount of energy that is transferred or transformed per unit of time. In the International System of Units, the unit of power is the watt, or one joule per second. In ancient literature, activity is another word for power.

Power is correlated with other factors; for instance, the power required to move a ground vehicle is a function of the vehicle's velocity and the traction force acting on its wheels. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft. The power lost by an electrical component in a circuit is also a function of the voltage across the component and the current that flows through it.

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The acceleration of the car is 4.05 m / s², if it accelerates uniformly over a period of 5.21 seconds for 110 meters.

We know that,

a = v / t

v = d / t

where,

a = Acceleration

v = Velocity

t = Time

d = Distance

Given that,

t = 5.21 s

d = 110 m

v = 110 / 5.21

v = 21.11 m / s

a = 21.11 / 5.21

a = 4.05 m / s²

Acceleration is the rate of change of velocity of an object over it period of movement. It is denoted as a.

Therefore, the acceleration of the car is 4.05 m / s².

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The value of spring constant for spring a and spring b is 531.70 and  52610.52 respectively. As the value of spring constant for Spring b is greater than a, So it is more stiffer.

A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces. In other words, it characterizes a spring's stiffness and the extent of its range of motion.

a) For spring a,

Given, the extended length = 9.4cm = 0.094m

mass = 510 g = 0.51kg

For spring b,

The extended length = 0.95mm = 0.00095m

mass = 5.1 kg

The force acting on both springs will be -

For spring a,

F = mg      (taking g = 9.8m/s²)

where m = mass and g = acceleration due to gravity

= 0.51 × 9.8

= 4.998N

Similarly, for spring b,

F = mg

= 5.1 ×  9.8

= 49.98N

The Hooke's law gives us -

F = - Kx

We are to calculate K here,

k = F / x

k = 4.998 / 0.0094

k = 531.70

The value of spring constant for Spring a = 531.70

For spring b,

k = F/x

k = 49.98 / 0.00095

k = 52610.52

The value of spring constant for Spring b = 531.70

b) As the value of spring constant for Spring b is greater than a, So it is more stiffer.

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The health risks include Health Effects of Sleep Loss, Poor glucose tolerance and diabetes.

Both adults and kids who are obese.

Vascular disease and high blood pressure.

Anxiety signs.

Depressed attitude

Using alcohol.

Sleep deprivation can leave you cranky and confused. Many people might not be aware of the potential effects on your capacity to lose weight, memory, health, and even your sexual life.

You run the risk of developing heart disease if you have sleep disorders or persistent sleep deprivation.

Chest pains.

A heart attack.

Abnormal heartbeat

Elevated blood pressure

Stroke.

Chronic sleep deprivation has been linked to high blood pressure, heart attacks, strokes, obesity, diabetes, depression, anxiety, impaired brain function, memory loss, weakened immune system, and lower levels of energy.

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The correct answer is Atoms cannot be created or destroyed.

Every element in space is made up of tiny, indivisible particles, which are invisible to the unaided eye, according to Dalton's atomic theory. These objects are referred to as atoms. Because "Atoms cannot be made nor destroyed by the human being," they are indestructible. The behaviour of an atom in one element differs from the behaviour of atoms in all other elements even though all the elements in an atom have the same mass.The leading philosophers of the day disagreed with Dalton's theory since it had some flaws. In that case, Aristotle fully disagreed, asserting that matter consisted of the four elements earth, wind, water, and fire. Scientists then adopted this view. The scientific community had now accepted atomic theory, but J. J. Thomson's finding in 1897 led to the next development. In his hypothesis, he described atoms as equally packed spheres of positively charged material that are filled with negatively charged electrons.

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Taking into account the definition of speed, the 18-year-old runner must start 247.3945 s after the 50-year-old runner in order to finish the course at the same time.

Speed ​​is a quantity that expresses the relationship between the space traveled by an object and the time used for it.

In other words, speed can be defined as the change of position of an object in space within a certain amount of time and can be calculated using the expression:

speed= distance traveled÷ time

In this case, you know:

Replacing these values ​​in the speed definition, it is possible to obtain the time that each runner needs to complete the race:

Solving:

To know the amount of time after which the youngest runner must start to finish the course at the same time as the oldest runner, the difference between the time it takes each runner to finish the course must be made:

difference of time= time of the 50-year-old runner - time of 18-year-old runner

difference of time= 2421.3075 s - 2173.9130 s

difference of time= 247.3945 s

Finally, the 18-year-old runner must start 247.3945 s after the 50-year-old runner in order to finish the course at the same time.

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The car in a time of 4 seconds will travel a distance of: 32 m

The formulas for uniformly varied rectilinear motion (UVRM) and procedures we will use to solve this exercise are:

Where:

Information about the problem:

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 m/s - 16 m/s) /4 s

a = (-16 m/s) /4 s

a = -4 m/s²

Acceleration is negative because the car is decelerating

Applying the distance formula, we get:

x = (vf²-vi²)/ (2a)

x = [(0 m/s)²- (16 m/s)²]/ (2 * -4 m/s²)

x = (0 m²/s²- 256 m²/s²)/ -8 m/s²

x =  -256 m²/s²/ -8 m/s²

x = 32 m

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 magnitude of the complex power measured across the load is 1200VA.

The magnitude of the complex power measured across the load is 1200VA.

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The equation of motion in terms of v and x is    [tex]\frac{dv}{dx} = -\mu v[/tex]

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

Let [tex]v(t) = \frac{ds}{dt}[/tex] be the velocity of a time t . Now its time rate of change, [tex]\acute{v}[/tex] = [tex]\frac{dv}{dt}[/tex]

is the acceleration, Therefore,

⇒   [tex]a(t)=v^{\prime}(t)=\frac{d}{d t}\left(\frac{d s}{d t}\right)[/tex]

On the other hand, the acceleration will be given by

⇒ [tex]a = - \mu v^2[/tex]

Where [tex]\mu[/tex] is constant, thus

⇒    [tex]\frac{dv}{dt} = -\mu v^2[/tex]

Where is the motion equation expressed in terms of v and t We must now write it in terms of v and x. To accomplish this, we make use of the fact that

⇒      [tex]\frac{d v}{d t}=\frac{d v}{d x} \cdot \frac{d x}{d t}=v \frac{d v}{d x}[/tex]

We now substitute the acquired result into the supplied equation.

⇒      [tex]v \frac{d v}{d x}=\frac{d v}{d t}=-\mu v^2[/tex]

Divide the equation by v ≠ 0

⇒       [tex]\frac{dv}{dx} = -\mu v[/tex]

We have changed the provided equation of motion in terms of v and x in this manner.

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Full question

A rocket sled having an initial speed of 160 mi/h is slowed by a channel of water. Assume that, during the braking process, the acceleration a is given by

                                        [tex]av = -\mu v^2[/tex]

where v is the velocity and \mu is a constant. (a) As in Example 4 in the text, use the relation

                                         [tex]\frac{dv}{dt} = v\frac{dv}{dx}[/tex]

to write the equation of motion in terms of v and x.

The time cat will take to run 5.5km is 55.89 minutes.

according to given details,

distance = 13.1m

time = 8 s

speed = ?

distance (b) = 5.5km = 5500m

time = ?

speed = ?

So by using formula,

speed = distance / time

speed = 13.1m/8s

speed = 1.64 m/s

As now we have speed using same formula

s = d / t

t = d / s

t = 5500m / 1.64 m/s

t = 3,353.65 sec

t = 55.89 minutes

Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).

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The magnitude of the electric field is 1.023 * [tex]10^{-7}[/tex] N / C

We know that,

F = m g

F = q E

where,

F = Force

m =Mass

g = Acceleration due to gravity

q = Charge of an electron

Given that,

m = 1.67 * [tex]10^{-27}[/tex] kg

q = 1.6 * [tex]10^{-19}[/tex] C

g = 9.8 m / [tex]s^{2}[/tex]

F = m g = 1.67 * [tex]10^{-27}[/tex] * 9.8

F = 16.37 * [tex]10^{-27}[/tex] N

F = q E

E = 16.37 * [tex]10^{-27}[/tex] / 1.6 * [tex]10^{-19}[/tex]

E = 1.023 * [tex]10^{-7}[/tex] N / C

Electric field is the field surrounding an electrically charged particle. If any other charged particle enters the field, it exerts force on the particle.

Therefore, the magnitude of the electric field is 1.023 * [tex]10^{-7}[/tex] N / C

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The speed of the motorcycle is  9.02777m/s in 7.2 sec.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

v(0) = 5.8

s(0)=0

s(7.2) = 65

s(t) =at^2/2 + v(0)t

s(7.2) = a(7.2)^2 + 5.8(7.2) = 65

a = (65-41.76)/51.84

a= 23.24/51.84 = about 0.4483 m/s²

v(t) = s'(t) = at +v(0) = at +5.8

v(7.2) = 0.4483(7.2) + 5.8

= 9.02777

velocity in 7.2 seconds is about 9.03 meters per second

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The boy can throw a ball with the same initial speed at all angles then the height of the ball traveled will be 12.6m

Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behavior of a physical system is described in further detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.

The three equations are,

v = u + at.

v² = u² + 2as.

s = ut + ½at²

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Answer:

55.5 ° C

Explanation:

A unit of K  and a degre C are the same increment

586 j / (80 g  C )  = .240

C = 30.5 degree increase from 25 c = 55.5 ° C

Some rocks are pushed deeper into the earth. As these rocks experience greater heat and pressure, they will turn into metamorphic rocks if they do not melt.

Although they began as a different kind of rock, metamorphic rocks have undergone significant alteration from their igneous, sedimentary, or previous metamorphic forms. When rocks are exposed to extreme temperatures, high pressures, hot mineral-rich fluids, or, more frequently, some combination of these conditions, metamorphic rocks are created.

Metamorphic rocks, which have been exposed at the Earth's surface as a result of erosion and uplift, can be studied to learn more about the pressures and temperatures that exist at extremely deep levels of the crust. The metamorphic rocks gneiss, slate, marble, schist, and quartzite are a few examples.

The two classifications of metamorphic rocks are foliates and non-foliates. Micas and chlorites make up a sizable portion of foliates.

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The complete question is ''Some rocks are pushed deeper into the earth. as these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt?

a. molten

b. sedimentary

c. igneous

d. metamorphic

The average speed of the family is 2.5 mph.

At the same speed used to walk to school, the distance traveled in one hour is 4.5 miles.

The average speed of an object is the total distance traveled by the object to the total time of motion of the object.

v = total distance / total time motion

total distance = 2.5 miles

total time = 6 pm - 5 pm = 1 hour

v = (2.5 miles) / (1 hour)

v = 2.5 mph

When it takes 20 minutes to walk 1.5 miles, the speed of the motion is calculated as follows;

time = 20 mins / 60 mins/hr =  0.333 hr

v = 1.5 miles / 0.333 hr = 4.5 mph

At this speed, the distance traveled in one hour is calculated as follows;

d = 4.5 mph x 1 hr

d = 4.5 miles

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Answer:

Water

Explanation:

There is one Oxygen Atom and two Hydrogen molecules. The molecule is Dihydrogen Monoxide, commonly known as water.

The total distance covered is 21 km while their displacement is 14.87 km SouthWest.

The distance covered by a moving body is the product of the speed of movement and the total time taken.

Displacement, on the other hand, is the property of a body or an object to be moved from one place to another.

While distance is a scalar quantity, displacement is a vector quantity.

In this case, the total distance covered by Justing can be calculated as:

15 km + 5 km + 1 km = 21 km

The displacement can be calculated from the attached image:

[tex]hyp^2 = opp^2 + adj^2[/tex]

         = [tex]14^2 + 5^2[/tex]

               = 221

                 = 14.87 km

Thus, they have been displaced by 14.87 km from the starting point in the SouthWestern direction.

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