The radius of the galaxy is 3x1020 m. how fast would a spaceship have to move to cross from one edge of the galaxy to the opposite edge in 300 years as measured by a clock onboard the spaceship?

Answers

Answer 1

The speed will be equal to 6.67 x 10¹⁷ meters per year.

What is speed?

Speed is defined as the ratio of the time it takes for a body to cross a distance to the time it takes. Since it is a scalar quantity, speed cannot be represented by a direction.

Given that the radius of the galaxy is 3x1020 m. The time to cross one edge to another edge of the galaxy is 300 years.

The speed will be calculated by using the formula below:-

S = ( 2 x 3 x 10²⁰ ) / 300

S = 6.67 x 10¹⁷ Meters per year.

Therefore, the speed will be equal to 6.67 x 10¹⁷ meters per year.

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Related Questions

After an average acceleration of 3.53 m/s2 during 2.01 s , a car reaches a velocity of 15.1 m/s . find the car's initial velocity.

Answers

8.01m/s

acceleration = 3.53 m/s2

Final velocity = 15.1 m/s

time = 2.01 s

initial velocity = ?

by applying kinematics equation

v = u + at

u = v-at

u = 15.1- 3.53 × 2.01

 =  15.1 - 7.09

u = 8.01m/s

Kinematics is the branch of physics associated with the description of motionPosition is the location of an object (units: m)Velocity is the rate at which position changes with time (units: m/sec)Acceleration is the rate at which velocity changes with time (units: m/sec^2)Average Acceleration is the  ratio of the change in velocity between two times and the time interval between them (units: m/sec^2)

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A fox locates its prey, usually a mouse, under the snow by the slight sounds that it makes. the fox then leaps straight into the air and burrows its nose into the snow when it lands, to catch its next meal. which of the three pairs of velocity versus time

Answers

The graph should look like decreasing speed into zero into a permanent negative acceleration brought on by gravity.

What is negative acceleration ?

When an item experiences negative acceleration, its velocity changes in a negative direction, which can suggest that it is moving either slower or faster. In physics, a change in an object's velocity is referred to as "acceleration." Since this change in velocity is a vector quantity, it denotes both magnitude and direction. Positive velocity is likewise a vector, and experiencing negative acceleration means that something is slowing down. In contrast, an item moving at a negative velocity and acceleration is actually going faster.

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Question:

A fox locates its prey, usually a mouse, under the snow by slight sounds the rodents make. The fox then leaps straight into the air and burrows its nose into the snow to catch its next meal. What should the graph look like?

this problem checks that you understand the relationship between the electric field and the force felt by a test charge, latex: \vec{f}

Answers

This problem checks that we understand the relationship between the electric field and the force felt by a test charge. 3000 N/C is the magnitude of electric field at that point.

What do you mean by electric field?

An electric field (sometimes E-field) is physical field that surrounds the electrically charged particles and exerts force on all the other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of the charged particles. Electric fields originate from electric charges and the time-varying electric currents. Electric fields and magnetic fields are both manifestations of electromagnetic field, one of the four fundamental interactions (also called forces) of the nature.

Electric fields are important in the many areas of physics, and are exploited in electrical technology. In atomic physics and chemistry, for the instance, the electric field is the attractive force holding the atomic nucleus and electrons together in atoms. It is also force responsible for chemical bonding between atoms that result in molecules.

The electric field is defined as a vector field that associates to each point in the space the (electrostatic or Coulomb) force per unit of charge exerted on an infinitesimal positive test charge at rest at that point. The derived SI unit for electric field is the volt per meter (V/m), which is equal to the newton per coulomb (N/C).

Examples of the electric fields include the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic field) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-varying field).

The SI unit of electric field is volts per meter (V/m). This unit is equivalent to the Newton's per coulomb. These are derived units where Newton is a unit of force and Coulomb is the unit of the charge.

For the above question:

F= 6μN= 6*[tex]10^{-6}[/tex] and q= 2NC= 2*[tex]10^{-9}[/tex]c, E=?

we know that whenever a charge particle is in electric field experience a force of F= qE

Then |E|= |F|/q= 6*[tex]10^{-6}[/tex]/2*[tex]10^{-9}[/tex] N/C

             =3*[tex]10^{3}[/tex] N/C= 3000 N/C

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a cube of side ℓ has one corner at the origin of coordinates, and extends along the positive x, y, and z axes. suppose the electric field in this region is given by

Answers

The faces given here adhe, bcgf, cdhg and abfe will contribute for zero flux because the area vector is seen as normal to the electric field for these faces.

Explain what the electric field is.

When a charge is present in any form on any particle, a point in space has an electric field that is connected to it.

The value of this E is often known as the electric field strength, electric field intensity, or just the electric field that expresses the strength and direction of the electric field.

What are electric field and what does it mean in SI?

Volts per meter (V/m) is the electrical field's SI unit. Newton's per coulomb unit is the same as V/m.

These units are derivations from Newton, which stands for force, and Coulomb, which stands for charge.

Thereon we have,

Flux through face efgh,ϕ = ∫ E. dA

= a(j). l^2 (-j) = -al^2

As the electric field provided at the face efgy is E =aj and the area vector is determined as l^2(-j),

Thus, flux through the face abcd,

ϕ2 = (a+bl)j . l^2(j) = al^2 + bl^2 for y = l

Thus, net flux that flows through the cube = ϕ1 + ϕ2 = bl^3

From Gauss law, we know that ϕ = Qenclosed/ ε0

Qenclosed = ε0 ϕE =  ε0bl^3

Thus, after we have substitued the values, we have l = 1m and b=3m

Qenclosed = 3 ε0

The required figure in order for reference to the provided names of faces is attached below.

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3. a volleyball player lands from a jump and tries to stop her forward motion. the normal contact force exerted by the floor on her shoes is 2000 n. the friction force exerted by the floor on her shoes is 400 n acting backward on the player. what is the resultant ground reaction force exerted by the floor on the volleyball player's shoes? (2 points)

Answers

Both are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes

=2088N approx

What is motion?

In physics, movement is the phenomenon wherein an item adjustments its function with appreciate to time. Motion is mathematically defined in phrases of displacement, distance, velocity, acceleration, speed and body of reference to an observer and measuring the extrade in function of the frame relative to that body with extrade in time. The department of physics describing the movement of items with out connection with its reason is called kinematics, at the same time as the department reading forces and their impact on movement is called dynamics. If an item isn't converting relative to a given body of reference, the item is stated to be at rest, motionless, immobile, stationary, or to have a steady or time-invariant function close to its surroundings. Modern physics holds that, as there's no absolute body of reference, Newton's idea of absolute movement can't be determined. As such, the whole thing within side the universe may be taken into consideration to be in movement.

Friction force=600 N

The normal contact force exerted by the floor on her shoes = 2000 N

Botha are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes=((600)^2+(2000)^2)^0.5=2088.06130178N

=2088N approx

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the lorentz contraction, l, is used in relativity to find the new length (or time) when an object approaches the speed of light. it is defined as

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When an item procedures the rate of light. it's miles described as theory of relativity

In the theory of relativity, it  implies that as a moving object approaches the speed of light, which is about 186,000 miles per second, the length of the object appears to shrink to zero, relative to the position of the observer.

Why is the Lorentz force  independent of the frame of reference?

Lorentz pressure is understood to be independent of body due to the fact because of the combine impact of electric and magnetic fields which is understood to be now no longer body structured as visible in Lorentz Transformation. This is the reason why we do not define electromagnetic fields, electric and magnetic fields together.

Note that Lorentz pressure is stated to be body impartial because dome of its components are acknowledged to return back up as a end result of shifting of body of reference, and this makes them to cancel every other out and therefore they make the resultant lorentz pressure same.

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The gravitational attraction between an object and the Earth

Answers

Answer: the pull of the magnetic field surrounding the earth

Explanation:

the g string on a guitar is a 0.42-mmmm-diameter steel string with a linear density of 1.1 g/mg/m . when the string is properly tuned to 196 hzhz, the wave speed on the string is 250 m/sm/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.

Answers

So, by 1.86 mm, the G string on guitar string stretches, when it is first turned which then slowly tightens and stretches the string while the string is properly tuned to 196 hz, then the wave speed on this string is 250 m/s.

What is wave speed?

The amount of space that a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its wave speed.

Speed = Wavelength x Frequency is the exact equation that describes how this wave speed can be related to wavelength and wave frequency. When the wavelength and frequency are known, this equation can be used to determine the wave speed.

What is the wave speed equation?

Wave speed is calculated using the equation wavelength/ time period. Since the S.I. unit for time is the second and the unit for wavelength is the meter (s). M/s is the S.I. unit for wave speed.

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Please help! I’ve been doing this for 2 hours I want to be done!

Answers

Answer:

Both are chemical changesBoth conserve mass

Explanation:

Identify the circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on.

Answers

the circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on is given as: ([tex]\overline {x}[/tex]yzw) + (x[tex]\overline {y}[/tex]zw) + (xy[tex]\overline {z}[/tex]w) + (xyz[tex]\overline {w}[/tex])

Here, overlined x , y , z and w represents the switch of the circuit(see the image)

So if one of the four switches is flipped  the light turn on when it is off and turns it off when it is on.

What is a circuit?

A circuit in electronics is a fully enclosed circle through which electricity travels. A load, conductors, and a current source make up a basic circuit. Any fixed path that electricity, data, or a signal can go through can be referred to as a circuit in a broad sense.

Electrons in an electronic circuit leave the power source, move along conductors, pass through a load to do work, and then return to the power source. The circular course that the electrons take through it gives it the name "circuit." Ohm's Law provides a description of the connection between electrical flow and load. In a circuit, electrons move from the negative to the positive side of the power supply.

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please answer cause im not sure thx

Answers

Answer: B

Explanation:

R=A+B
A goes south

B goes east

R=

A+B=

South+East=Southeast ==> B

Answer:

B

Explanation:

Vectors are drawn as lines with arrowheads on them.

Vectors can be added together by drawing the arrows nose to tail.

To add vectors A and B, place the tail of vector B at the nose of vector A (see attached diagram).

The single vector that goes from the start to the end of the combined vectors is called the resultant vector.

As  R = A + B,  then R is the resultant vector of A and B.

R starts at the tail of vector A and goes to the nose of vector B.

an electric heater is connected to a constant 250 v source and absorbs 1000w. subsequently this heater is connected to a constant 220v source. what power does it absorb from the 220v sourcee what is the resistance of the heater

Answers

The power it absorbs = 774.4W and the resistance of the heater = 62.5Ω

Calculation

If we consider the heater as a resistor, we have

P=[tex]v^{2}[/tex]/R

So when connected to the first heater,

P1 = [tex]\frac{v_{1} ^{2}}{R}[/tex]

when connected to the 2nd heater,

P2 = [tex]\frac{v_{2} ^{2}}{R}[/tex]

So solving for R

R= [tex]\frac{v_{1} ^{2}}{P_{1} }[/tex] = [tex](250V)^{2}[/tex]/1000W = 62.5[tex]\ohm\\[/tex]Ω

R=62.5[tex]\ohm\\[/tex]Ω

The power absorbed can be given as

P2 =[tex]\frac{v_{2} ^{2}}{R}[/tex] = [tex]\frac{v_{2} ^{2}}{\frac{v_{1} ^{2}}{P_{1} } }[/tex] = P1[tex]\frac{v_{2} ^{2}}{v_{1} ^{2}}[/tex] = P1 [tex](\frac{v_{2} }{v_{1} } )^2[/tex]

=1000 x [tex]0.88^2[/tex]

P2 = 774.34W

Concept of power and resistance

Power is the rate at which work is done in electronics. The barrier put up to the movement of electrons is called resistance. Power and resistance have a proportionate relationship.

Resistance is a component that aids in measuring resistance to current flow in an electrical circuit, whereas power is the pace at which work is done. In one of them, power is inversely correlated with resistance, and in the other, power is directly correlated with it.

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What two factors determine the speed of a transverse wave? Explain how these two factors affect the speed of the wave.

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Linear mass density and tension are the two factors on which the speed of the transverse waves on a string depends.

The square root of the linear mass density determines the speed of a wave on a string, with larger speeds occurring when the linear mass density is lower.

The linear density divided by the square root of the tension determines the wave's speed on a taut string.

The qualities of the medium affect a wave's speed. For instance, the sound of a guitar is created by the vibration of the strings. The wavelength and wave speed on the strings influence the frequency of the sound that is produced. A guitar's strings can be composed of materials that are similar in composition but varied in thickness.

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shot from a cannon in 1998, david "cannonball" smith set the distance record for being shot from a cannon (56.64 m). during a launch in the cannon’s barrel, his speed increased from zero to 80 km/h in 0.40 s. while he was being stopped by the catching net, his speed decreased from 80 km/h to zero with an average acceleration of 180 m/s2m/s2. what can you determine about smith’s flight using this information? homework

Answers

The final velocity of the cannon camera is 22m/s

This question informs us that David will depart on a voyage at his maximum speed. Consequently, the speed is 80 km/h. So we have to convert. At a 2 m/s rate, listen. We must multiply our number of 80 by the quantity of meters in a club in order to convert it to units. His final velocity therefore equals 22.2

a= v/ t = 56m/sec square dec acceleration = 80km/h converting into final velocity m /s sec its 22.2m/s

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If the subsolar point is moving from the equator towards the tropic of cancer, what season of the year is it?

Answers

Subsolar point is moving from the equator towards the tropic of cancer the season will be spring.

What is subsolar point?

The sun seems to be directly above a planet at this moment, or when the sun's rays are exactly perpendicular to the planet's surface. It can also refer to the area on an astronomical object that is closest to the sun, even if the sun might not be visible.

The subsolar point is the latitude where the sun's rays exactly intersect the Earth's surface perpendicularly. It is the area where the sun is above at noon.

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an electric field has a positive test charge of 5.00 e−5 c placed in it. the force on the test charge is 0.600 n. the magnitude of the electric field at the location of the test charge is

Answers

The magnitude of the electric field at the location of the test charge is  15020 N C-1 or V m-1

We have to use F = E q

Given F = 0.751 N, q = 5*10-5 C

So required E = F /q = 0.751/5*10-5

The electric field at the location E = 15020 N C-1 or V m-1

A machine of charged debris is called having an electric powered subject, that's the physical discipline that surrounds electrically charged debris and exerts a force on all other charged particles within the subject, either attracting or repelling them. electric field costs and time-various electric currents are the building blocks of electric fields. one of the four fundamental interactions (also referred to as forces) of nature, the electromagnetic discipline, manifests itself in each electric and magnetic fields. electric powered fields are full-size in lots of branches of physics and are utilized in electrical generation. as an example, in atomic physics and chemistry, the electric area acts as an attractive force to hold atoms' atomic nuclei and electrons together.

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acceleration is sometimes expressed in multiples of g, where is the acceleration due to the earth's gravity. in a car crash, the car's velocity may go from 20 m/s to 0 m/s in 0.067 s how many g's are experienced, on average, by the driver? (answer with just the number)

Answers

The g’s experienced by the driver will be 30.45 g.

The above is a case of uniformly accelerated motion.

So we have to use one of the following equations to solve it,

v = u + at

v^2 - u^2 = 2as

s = ut + 1/2t^2

As we are given the final velocity, initial velocity and the time, therefore the first equation is appropriate.

v = u+ at

Putting v = 0 m/s

u = 20 m/s

t = 0.067 s

0 = 20 + at

The acceleration comes out to be 298.50 m/s^2.

As g = 9.8 m/s^2, dividing the value of acceleration by 9.8 will give the value of g experienced by the driver.

A = 298.50/9.8 = 30.45g m/s^2.

Hence, The g’s experienced by the driver will be 30.45 g.

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Kinematics

A ball is dropped from rest from the top of a
building with height h and strikes the ground with a
speed v. From ground level, a second ball is thrown
straight upward at the same instant that the first
ball is dropped. The initial speed of the second ball
is v0 = v, the same speed with which the first ball
will eventually strike the ground. Ignoring air
resistance, the balls cross paths:

a. at half the height of the building.
b. above the halfway point of the building.
c. below the halfway point of the building.
d. there is not enough information to determine
where they cross.

Answers

The balls cross paths at above the halfway point of the building.

Let us consider the ball dropped down as ball A and the ball thrown up as ball B. The initial speed of ball B is same as that of final velocity of ball A meaning that both balls have same average velocity. So they both cover same distance ( meaning the ball B reaches the top of the roof ) at same time. But the instantaneous velocities differs which means that they cross at halfway point.  

The ball A starts slowly and the speed keeps increasing as it goes farther. The ball B starts faster and the speed keeps decreasing as it goes farther. So when the ball B reaches the halfway mark, the ball A still hasn't reached the halfway mark. This means that the ball B kept rising and at some point above the halfway point, the ball B crosses the ball A.

Therefore, the balls cross paths at above the halfway point of the building ( B ).

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calculate the de broglie wavelength of a subatomic particle that is moving at 351 km/s, if its mass is 9.11 x 10–31 kg. λ

Answers

De Broglie wavelength of the subatomic particle is 0. 0020 * (10 )^ -3 nm.

What do you mean by a subatomic particle?

Any of the multiple self-contained units of matter or energy that are the building blocks of all matter are considered subatomic particles, also known as elementary particles. They include the heavier constituents of the small but extremely dense atom's nucleus, the positively charged protons and the electrically neutral neutrons, as well as the electrons, the negatively charged, nearly massless particles that nonetheless make up the majority of the atom's size. The only known subatomic particles, however, are not these fundamental atomic building blocks. The electron is just one member of a class of fundamental particles that also includes the muon and the neutrino. Protons and neutrons, for example, are composed of quarks.

Let the De Broglie wavelength be Λ.

Λ = h/p

  = (6.626 * 10^-34) / (351 * 9.11 * 10^-31)

Λ =  0.0020 * 10^-3 nm

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A basketball player jumps vertically off the ground 5.6m/s how long were they in the air?

Answers

A basketball player jumps vertically off the ground 5.6m/s how long were they in the air

 His total time in the air is 0.58s.

Given that

A basketball player jumps vertically off the ground 5.6m/s

To find

Total time in the air.

So, according the question

We have,

preliminary velocity u = five.6 m/s

and acceleration due to gravity g = - 9.81 m/s² ( - signal for upward movement )

( ∴ basketball participant jumps vertically and he travelled inside the air on the action of gravity so we recall his acceleration as g. )

Now, from first equation of motion.

     v = u + at

velocity at highest point will be zero so

     v = 0 ,   u = 5.6 m/s and a = g = - 9.81 m/s²

Now, putting the all values on first equation of motion.

       0 = 5.6 - 9.81 × t

   -5.6 = -9.81 × t

        [tex]t = \frac{5.6}{9.81}[/tex]

       t = 0.58 s.

His total time in the air is 0.58s.

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Which of the following toys are accelerating?
Select all that apply.

A.) a red wagon that is rolling straight along a sidewalk at a constant speed
B.) a stuffed Tyrannosaurus rex that is standing motionless on a shelf
C.) a toy boat that is moving faster and faster as it plunges down a small
waterfall

Answers

Answer:

C

Explanation:

This is right because answer c states that the boat is moving faster and faster. Therefore its accelerating.

an important advantage of copernicus’ heliocentric theory was that it provided a simple explanation of the motion of planets.

Answers

Copernicus heliocentric theory proved that the Earth and the other planets revolve around the Sun.

Other statements from the Copernicus' heliocentric theory were that the Sun was the center of the solar system or of the universe. The Earth and the other planets revolve around the Sun. The Earth takes about an year to revolve around the sun while it spins on its own axis which causes the profession of the equinoxes.

Advantages of the Copernicus heliocentric theory include that it explained the variations in brightness of the planets like Mars and also the phases of the inner planets like Mercury and Venus. It allowed us to measure the distances of various planets from the Sun. It also specified the time period taken by a planet to revolve around the Sun.

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a rigid tank is divided into two equal parts by a partition. one part of the tank contains 2.5 kg of compressed l

Answers

Complete question

A rigid tank is divided into two equal parts by a partition. One part of the tank contains 2.5 kg of compressed liquid water at 400 kPa and 60

60 ∘ C while the other part is evacuated. The partition is now removed, and the water expands to fill the entire tank. Determine the entropy change of water during this process, if the final pressure in the tank is 40 kPa.

Water expands to fill the entire tank. For a final pressure of 10 kPa, the final water temperature is 60°c and the tank volume is 2245.4.

The energy balance:

[tex]E_{in} -E_{out} =[/tex] Δ[tex]E_{system}[/tex]

So, therefore

0 = ΔU [tex]mm(u_{2} -u_{1} )[/tex]

[tex]u_{1} =u_{2}[/tex]

Water's characteristics are listed in tables A = 4 and A-6.

[tex]p_{1} = 600 kpa[/tex]

[tex]T_{1}[/tex] = 60°c

⇒ [tex]v_{1} = v_{f}[/tex]

⇒ 60°c = 0.001017

⇒ [tex]u_{1} =u_{f}[/tex]

⇒ 60°c = 251.16

Confirmed whether we receive quality between 0 and 1.

[tex]P_{2}[/tex] = 10kpa

[tex](u_{2}-u_{1} )[/tex]

We have [tex]v_{f}[/tex] = 0.001010,

v = 14.670

[tex]u_{f}[/tex] = 191.79,

[tex]v_{f}[/tex] = 2245.4

So, therefore, water expands to fill the whole tank. For a final pressure of 10 kPa, the very last water temperature is 60°c and the tank quantity is 2245.4.

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Why is the plastic shopping bag transparent

Answers

Answer:

they are transparent to see the content of goods inside but at the same time what cause it to be transparent is because of the fact that they are created with low-density polyethylene and polypropylene, which are transparent polymers.

the speed of sound in air at room temperature is approximately 343 m/s. calculate this speed in miles per hour, given that 1 mi

Answers

The speed of sound in miles per hour is 767.33 miles/h when the speed of sound in air at room temperature is approximately 343 m/s.

What do you mean by speed of sound?

The distance a sound wave travels through an elastic material in one unit of time is measured as its speed of sound. At 20 °C, the speed of sound in air is approximately 343 m/s, or 2.91 or 4.69 seconds for a mile.

The properties of the medium itself determine the speed of a sound wave because sound needs a medium to travel through (such as density, stiffness, and temperature). For every degree, the velocity of sound drops by roughly 6 meters per second. Compression waves, which at a small scale rely on molecules transmitting energy one to another, are used to convey sound through the air.

We are given that 1 mi = 1609 m.

Also we know that 1 hour = 3600 s

Therefore,

343m/s*3000s/h*(1/1609mi/h)=767.433mi/h

Thus, the speed of sound in miles per hour is 767.33 miles/h.

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Enter your answer in the provided box.an empty vial weighs 63.28 g. if the vial weighs 436.33 g when filled with liquid mercury (d = 13.53 g/cm3), what volume of mercury is in the vial?

Answers

when filled with liquid mercury (density = 13.53 g/cm3) volume of mercury is in the vial is 88.41 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 grams.

The vial weighs vial = 50.90 g.

This indicates that the mercury's mass will be 439.31 g - 50.90 g = 388.41 g.

You now understand that the density of mercury is 13.53 g/cm.

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ although the Latin letter D can also be used.

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this type of force is applied to a moving object. it causes the object to slow down or stop because it acts in the opposite direction of motion.

(I'm genuinely so confused, the notes the teacher gave us in class sucks, and he never responds to his emails.)​

Answers

Energy must be transferred for motion, which is displacement, between the item and its system or environment. The energy's direction might either be toward or away from the object.

In your case, the energy must originate from the item itself in order for the force and subsequent movement to be in the opposite direction. For instance, rocket propulsion and jet engines. Propellers operate on a totally different mechanism that may be stated simply as "big pull, tiny push," therefore you cannot think of them in this way. Because they combine gasoline sparking to provide more thrust in turbojet engines (hence turbo).

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____ is a process by which organisms with characteristics suited to the environment will survive and reproduce.

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ORGAAAAASSMSMSNSMNSJSSNSNNS

Answer:

Natural selection is a process by which organisms with characteristics suited to the environment will survive and reproduce

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a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas.

Answers

The total distance between the cities is 60.1 Km.

We have a person driving between cities.

We have to calculate the distance between the cities.

What is the formula to calculate Distance travelled ?

The formula to calculate the distance travelled is -

D = speed x time = v x t

According to the question -

When she drives at 62.7 km/h, her distance travelled will be -

d(1) = 62.7 x (27.6 / 60) = 28.8 Km

When she drives at 115 km/h, her distance travelled will be -

d(2) = 115 x (9.6 / 60) =  18.4 Km

When she drives at 45.2 km/h, her distance travelled will be -

d(3) = 62.7 x (12.3 / 60) = 12.9 Km

The total distance between the cities -

D = d(1) + d(2) + d(3) = 28.8 + 18.4 + 12.9 = 60.1 Km

Hence, the total distance between the cities is 60.1 Km.

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[ The given question is incomplete. You can access complete question down below -

" a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas. Determine the distance between the cities along this route. ]

With what speed (in feet/second) must a ball be thrown vertically upward in order to rise to a height of 37.8 ft, neglecting air resistance?

Answers

The ball  in order to rise to a height of 37.8 ft was launched with a speed of: 49.3158 ft

The formula for the vertical launch upward and the procedure we will use is:

y max = v₀²/(2*g)

Where:

v₀ = initial velocityg = gravityy max = maximum height

Information about the problem:

g = 32.17 ft/s²y max= 37.8 ftv₀ = ?

Applying the maximum height formula and clearing the initial velocity we get:

y max = v₀²/(2*g)

v₀ = √(y max * (2*g))

v₀ = √( 37.8 ft * (2 * 32.17 ft/s²))

v₀ = √( 37.8 ft * 64.34 ft/s²)

v₀ = √2432.052 ft²/s²

v₀ = 49.3158 ft

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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