Sound travels faster in air if the air temperature is group of answer choices warm. average. cold.

The average velocity of the object = 25m/s

It is given that s (2) = 125

s (4) = 175

and we have to find average velocity of the object over the interval of time [2,4]

Using two-point formula, we have

[tex]\frac{s-125}{175-125}[/tex] = [tex]\frac{t-2}{4-2}[/tex]

s = 25t -50 + 125

s = 25t + 75 gives the position of t

Then average velocity in the interval [2,4]

[tex]\frac{1}{4-2}[/tex](s(4) - s(2))

=[tex]\frac{1}{2}[/tex][100 + 75 - 50 - 75]

= 25

The change in position or displacement (x) divided by the time intervals (t) during which the displacement occurs is the definition of average velocity.

Based on the direction of the displacement, the average velocity might either be positive or negative.

Meters per second (m/s or ms-1) is the SI measure for average velocity. Athletes who practice by running five miles north, for instance, are likely to change their speed at different points in the course of the run.

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Answer:

Thermal

Thermalphenomena.

Sound

Soundphenomena.

Mechanical

Mechanicalphenomena.

Light

Lightphenomena.

The electric potential at point p is 86.53 KV

We know that,

Electric potential V = kQ / r

where,

k = Coulomb's constant

Q = Point charge

r = Distance

Given that,

r = 24 cm = 0.24m

Q = 2.31 mC = 2.31 * [tex]10^{6}[/tex] C

k = 8.99 * [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]

V = ( 8.99 * [tex]10^{9}[/tex] * 2.31 * [tex]10^{6}[/tex] ) / 0.24

V = 86.53 KV

Electric potential is the amount of work energy required to move a unit charge from a reference point to a specific point inside an electric field. It is a scalar quantity.

Therefore, the electric potential at point p is 86.53 KV

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1.) When examining technical drawings, conversion of dimensions is crucial knowledge to have. A person with measurement skills may use an object's shape to determine its sides, angles, area, and volume. If he is aware of these factors, he will be able to modify a sketch or design if the need arises.

If someone knows how to convert a measurement to a system that the other person is familiar with, they can do so when working with someone who is unfamiliar with the measuring system.

2.) Units have a crucial role. No meaning is given to numbers without units in scientific computations. For instance, if someone asks a shopkeeper for three rice, the shopkeeper may not grasp what he means, but if he is told that the customer wants three kilograms of rice, the shopkeeper will. Because the value of anything in one system of units may differ from that of the other, you need also be familiar with unit conversion into other systems (Metric, SI). Understanding units in this way can help with numerous issues.

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Therefore, measurement is the process of determining the size or smallness of a physical quantity in relation to a primary reference quantity of a similar kind. The act or system of measuring is referred to as measurement. It can be viewed as a procedure for utilizing numbers to define physical objects. In this post, you can read more about measurement units and conversion.

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If the ore is tossed overboard, then the water level in the lock will remain the same.

In the above situation, Archimedes’ Principle is used.

It was given by a Greek Scientist, Archimedes in 246 CE.

According to this principle, the upward buoyant force on a body that is exerted on a body immersed in a liquid is equal to the weight of the liquid displaced by the body.

The formula for Buoyant force is given by the following formula

Force = ρ x g x v

Here  ρ = density of the fluid

g = acceleration due to gravity

v = Volume of the fluid

Thus, When the ore is tossed overboard, then it displaces water equal to its weight, so the water level remains the same.

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The average speed of the dog is  6.8 m/s  while the average velocity is 6.8 m/s halfway to the starting point.

The speed of a moving object is the ratio of the distance covered by the object and the time taken to cover the distance. The average speed is the ratio of the total distance traveled and the total time taken.

Velocity, on the other hand, refers to the speed in a particular direction. In other words, velocity is a vector quantity while speed is a scalar quantity.

In this case:

Total distance covered = 50 + 25

                                       = 75 meters

Total time taken = 7.2 + 3.85

                           = 11.05 seconds

Average speed = 75/11.05

                          = 6.8 m/s

Average velocity = 6.8 m/s halfway

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Answer:

ρ = M / V               ρ = density

M = ρ * V = 132.5 cm^3 * .01932 kg / cm^3 = 2.561 kg

Note: Water has a density of 1000 kg / m^3 = 1E-3 kg / cm^3

So the equivalent weight of water would be

1.0E-3 kg/cm^3 * 132.5 cm^3 = .132 kg        for the water

The specific gravity of the Au is 2.561 / .132 = 19.4 (correct)

There are 2501.3m³ in 88,263 ft³ the Olympic swimming pool.

Along with arithmetic, geometry is one of the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.

The area of mathematics known as geometry is concerned with the characteristics of the surrounding environment as well as the shapes of particular objects and their spatial relationships.

swimming pool is approximately 88,263 ft³

assume there are 3.28 ft in 1 meter.

Now ,

Given that :

3.28ft = 1m

1 ft = 1/(3.28)m

So,

1 ft = (1/3.28)³m³

88,263 ft³ = 88263/(3.28)³

                = 2501.3m³

There are 2501.3m³ in the Olympic swimming pool.

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A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. It takes the ball 3.63 s to strike the ground.

Because the object is moving downhill vertically, the motion has a negative acceleration value as well as a negative velocity value.

A quadratic function with concavity downwards can be used to represent both this kind of motion and the motion of the object thrown above.

h = h0 - v0t - [tex]\frac{gt^2}{2}[/tex]

so putting all the values, we have,

0 = 122 - 15.8t - 4.9 [tex]t^{2}[/tex]

then we know the formula,

t= [tex]\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex] here a=-4.9 b= -15.8 c =122

now putting all the values, we have

t= 3.63 s

So, In 3.63 seconds, the ball lands on the ground.

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By using drift velocity of the electron, the current flow is 7.20 ampere.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

d = 2.097 mm

r = (0.002097 / 2) m

v = 1.54 mm/s = 0.00154 m/s

ρ = 8.92 x 10³ kg/m³

q = e = 1.6 x 10¯¹⁹C

Find the atom density

n = Na x ρ / Mr

where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).

n = 6.022 x 10²³ x 8.92 x 10³ / 0.635

n = 8.46 x 10²⁷ /m³

Find the current flows

v = I / (n . A . q)

0.00154 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)

0.00154 = I / (8.46 x 10²⁷ . π(0.002097 / 2)² . 1.6 x 10¯¹⁹)

I = 7.20 ampere

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If an electron is detached from an atom, the atom is converted to a positive ion called a(n): Cation

Cations are positively charged ions formed when neutral atoms lose electrons. Chemical elements that are cations include:

The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.

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Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.

We use Kepler's third law for which the time period is defined as

[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]

The Prague's altitude is the shortest distance between the earth's surface and satellite.

The average distance of the perigee and  apogee of satellite can be defined as

a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]

R is the radius of earth (6374.1km)

r1 is the lower orbit. (500km)

r2 is the higher orbit.(900km)

Using the values in above equation we get:

6374.1+ (500+ 900)/2

a = 7078.1 km

Time taken to fly from perigee to apogee equals to the half of the orbital speed so

t = T/2

[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]

by using the values we get-

=  √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]

= 295573.94 * 10⁻²

= 2995.73s

t = 49 mint 92 sec

It will take around 49 minute and 92 second to coast from perigee to the apogee.

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In order for Hardy-Weinberg equilibrium to exist, a large population size and random mating are necessary.

The Hardy-Weinberg Law asserts that both allele frequencies and genotype frequencies stay constant from generation to generation in a large, random-mating population that is not impacted by the evolutionary processes of mutation, migration, or selection.

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If a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.

In the early 17th century, Johannes Kepler observed planetary motions and researched them to give three laws known as Kepler’s Laws.

These laws are:

(1) Law of orbits

(2) Law of Areas

(3) Law of Periods

According to the third law, the square of the time period of revolution of a planet around the sun is proportional to the cube of the distance between the sun and the planet, represented by the following  formula

T^2 = r^3

Let T1 be the time period of the revolution of Earth and T2 be the time period of the revolution of the hypothetical planet.

Let r1 be the distance between Earth and the sun and r2 be the distance between the hypothetical planet and the sun.

From the above equation

T1^2 = r1^3

T2^2 = r2^3

Dividing the above equations,

(T1/T2)^2 = (r1/r2)^3

We are given that,

r2 = 2 x r1

And T1 = 365 days

So,

(365/T2)^2 = (r1/2r1)^3

Solving the above equation,

T2 comes out to be 1032 days.

Hence, if a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.

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Weight is the the gravitational force of the total body mass in the gravitational field. We can feel our weight due to the earth's normal reaction to the weight.

Gravitational force is the kind of attractive force between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Therefore when we stand at rest on a pair of bathroom scales, the readings on the scales will always reads the same as the actual weight of our body.

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Answer:

Explanation:

Covalent, or molecular, compounds are formed when two nonmetals react with one another. By sharing electrons, the elements combine to form a compound, resulting in an electrically neutral molecule. Covalent Compounds Gilbert N. Lewis, an American physical chemist, first described covalent bonding in a 1916 article, though he did not use the term.

Explanation:

1) Nuclear magnetic resonance imaging.

2) X-ray system.

3) Medical application.

4) Positron emission tomography.

5) Imagery techniques

Answer: y(3+z)=x

Explanation:

Assuming that you meant 3=x/y-z without y-z being in parenthesis

3=x/y-z

3+z=x/y

y(3+z)=x

The population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].

We have the following function -

p(t) = 5 [tex]$e^{tk} }[/tex]

We have to determine the total population after 7 days.

In general, growth rate is the measurement of how fast something increases in size during a particular period.

According to the question, we have -

p(t) = 5 [tex]$e^{tk} }[/tex]

Now -

for t = 7 -

p(7) = 5 [tex]$e^{7k} }[/tex]

where k is growth rate.

Hence, the population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].

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Explanation:

In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion.

It takes four hydrogen atoms to fuse into helium atom. During the process some of the mass is converted into energy.

A nuclear reaction combining nuclei of lighter atoms together to form heavier nuclei resulting in the release of tremendous amount of energy is called a nuclear fusion reaction.

Nuclear fusion reaction takes place in the sun.

Answer:

In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.

F is continuous on (2,5) and the range is provided as a bounded interval

Although not true for all functions listed [2,5], this is conceivable. For instance, the unbounded range of the function f(x)=x3 is (), which is defined and continuous on the interval [2,5].

When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.

We say that a function f(x) is continuous on the interval [a, b] if it meets these requirements from x=a to x=b, for instance.

At the right endpoint b, a function is continuous if. The reasons why the endpoints are defined individually.

Because only one way can be used to check for continuity, the endpoints are defined independently. The values will not be in the domain and won’t apply to the function if the limit of an endpoint is checked from a side that is outside the domain.

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According to the given statement the height of the object thrown is =20.1m

Initial condition, or initial speed, refers to an object's speed at the start of a measurement. The average speed is the average of the initial and final speeds, or the ratio of the distance travelled to the time required. The speed difference between the initial and final speeds is the change in speed.

Start by dividing the acceleration by the time to determine the beginning velocity. Then, divide that number by 2 and write down the quotient you got. Next, divide the distance by the time and write down that quotient as well. To obtain the beginning velocity, finally remove your first quotient from your second quotient.

The right answer is s= 20.1m

s= -8t+0.5gt^2

t=3

s=20.1 m

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A gaseous system's pressure will rise by a factor of 2 if its volume is increased by a factor of 3 and its temperature is raised by a factor of 6.

The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A surface will be subject to pressure from a 42-pound box with a bottom area of 84 square inches equivalent to half a pound per square inch of applied force. The weight of the atmosphere pressing down on each square inch of the Earth's surface is known as atmospheric pressure, which is approximately 15 pounds per square inch at sea level. In SI units, pressure is expressed in Pascals.

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The correct answer for the wavelength (405 or 500 nm) based on our evaluation of the absorption spectrum just taken is 405 nm which is Fluorescence .

Fluorescence diagnosis could improve the safety and reliability of stereotactic brain tumor biopsies performed with biopsy needles equipped with integrated fiber optics. Vital tumor tissue can be localized in vivo during the excision procedure using 5-aminolevulinic-acid-induced protoporphyrin IX (PpIX) fluorescence, reducing the number of samples required for a reliable diagnosis. On optical phantoms, the practical suitability of two different PpIX excitation wavelengths (405 nm, 633 nm) was investigated. Violet excitation at 405 nm provides a 50-fold increase in sensitivity for the bulk tumor; ray tracing simulations show that this factor increases up to 100 with decreasing fluorescent volume.

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The rate of reaction is 75.82k mol / l s

We know that,

Rate = k [tex][a]^{x}[/tex][tex][b]^{y}[/tex]

Where,

k = Rate constant

x = Order of reaction of a

y = Order of reaction of b

Given that,

[a] = 3.94 mol / l

[b] = 2.21 mol / l

x = 2

y = 2

Rate = k * [tex]3.94^{2}[/tex] * [tex]2.21^{2}[/tex]

Rate = 75.82k mol / l s

Rate of reaction is the speed at which the reactants are converted to products.

Therefore, the rate of reaction is 75.82k mol / l s

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Experimental drinking frequently occurs as a result of taste aversion and social pressure.

Peer pressure is the influence or pressure that comes from one's peers. Peers are frequently referred to be members of the same social or age group. Peers often surround themselves with dimwitted or poor self-esteem individuals to do their bidding because they feel the need to be in charge.

Peer pressure has several root reasons, including the need to fit in, low self-esteem, fear of being rejected, and, most often, the desire to feel safe and secure among peers. Peer pressure has the worst results and might have severe impacts. Ages 12 to 19 are when peer pressure is most prevalent. Teenagers sometimes succumb to peer pressure and do things they wouldn't otherwise do.

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The correct option is type ii supernovae.

Neutron stars and black holes are formed by type II supernovae.

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The charge that has passed through the element the first millisecond is 2.3nc.

Millisecond is a period estimation unit with the image of MS, which is equivalent to a one thousandth of a second. It can likewise be characterized as the span of photograph electric lamp, or as the hour of a cycle for 1kHz recurrence. This unit is at times utilized while estimating extent or making truly exact physical and logical computations. Millisecond is clearly utilized rigorously for logical purposes since estimating this unit of time is very troublesome. This web-based milliseconds to microseconds converter can be exceptionally helpful for understudies, analysts, science fans and the people who are needing making time changes.

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The energy required to warm one gram of water by one celsius degree is called a specific heat

The specific heat also known as specific heat capacity, is an intensive property specific, and representative of each substance. It is defined as the energy or amount of heat required to raise the temperature of 1 kilogram (kg) of mass by one degree Celsius (°C).  

In the International units system of measurement the specific heat is expressed  in Joules per kilogram per degree Kelvin.

It is the physical magnitude that allows us to know the degree of heat that a body or an environment has. The higher the temperature, the greater the degree of heat.

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If a sprinter reaches his top speed of 10.9 m/s in 2.84 s , his total time to cover a distance of 100 m is 10.59 sec

We know that,

a = u / t

s = ut + 1/2 a[tex]t^{2}[/tex]

where,

s = Distance

u = Initial velocity

a = Acceleration

t = Time

Given that,

Top speed = 10.9 m / s

Time taken to reach top speed = 2.84 s

a = 10.9 / 2.84 = 3.83 m / [tex]s^{2}[/tex]

During the time period of 2.84 s, the distance covered is ,

s = ( 0 * 2.84 ) + 1/2 ( 3.83 * [tex]2.84^{2}[/tex] ) = (3.83 * 8.07) / 2

s = 15.44 m

Consider the sprinter maintains a constant acceleration after reaching his top speed.

The distance remaining in 100 m track = 100 - 15.44 = 84.56 m

Time taken to cover 84.56 m at 10.9 m / s with no acceleration is

84.56 = ( 10.9 * t ) + 1 / 2 ( 0 ) ( [tex]t^{2}[/tex] )

t = 7.75 s

Total time taken = 7.75 + 2.84 = 10.59 s

Acceleration is the rate of change of velocity. It is represented as a. Its unit is m / [tex]s^{2}[/tex]

Therefore, if a sprinter reaches his top speed of 10.9 m/s in 2.84 s , his total time to cover a distance of 100 m is 10.59 sec

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