A solid cone is 10 cm high. where is its center of mass?

Answer:1

Explanation:

When we boil the water, initially small bubbles started forming at the bottom of the vessel. These bubbles are air which enables the aquatic organisms to survive inside the water.  

The solubility of gas started decreases as we increase the temperature, therefore, more and more bubbles formed. Around 373 K water started boiling and vapor started forming inside the water. At this Point water and its vapor is in Equilibrium and every molecule has the same tendency to form a bubble. So there is more and more tendency to form bubbles.

Final answer:

1) Initial bubbles formed in boiling water are due to dissolved gases escaping as the water heats up; the solubility of these gases decreases with temperature. When the water reaches its boiling point, water vapor within the bubbles matches atmospheric pressure, leading to boiling.

Explanation:

When you set a pot of tap water on the stove to boil, you will notice bubbles forming before the water reaches its boiling point. 1) This occurs because water contains dissolved air and other gases that start to come out of solution as the water heats up. The solubility of gases in water decreases with increasing temperature, leading to the formation of bubbles.

At the onset, these bubbles are composed mainly of air and water vapor. As the water temperature rises, more water vapor enters the bubbles, increasing the pressure inside to match the atmospheric pressure. Once the water reaches 100°C and the vapor pressure of water equals the atmospheric pressure, boiling occurs. The established bubbles grow in size and rise to the surface as part of the boiling process.

In summary, the initial bubbles that form when water is heated are due to gases coming out of solution due to decreased solubility with rising temperature. Eventually, as the temperature of the water continues to rise, these bubbles contribute to the process by which water transforms from a liquid to a gaseous state, resulting in boiling.

Answer:

The gravity, which is an acceleration to the center of the earth, will be the same.

Explanation:

The gravity on earth depends only on the masses and distance, between two objects. We can see it in the gravitational force equation.  

[tex]F=G\frac{m\cdot M}{r^{2}}[/tex]  

Now if we put a man, with mass m, on the surface of the earth, with mass M, the distance from the center of mass and the man will be R (earth radius). Knowing that F = m*a, we can find the accelerations due to this mass M and this value will be 9.81 m/s².  

On the other hand, the moon has a gravity value and is less than the earth, because its mass, and affects the water sea due to the gravitational force between earth and moon. If the moon changes the rate of its rotate it changes probably the distance between them, let's recall they must conserve angular momentum, but the gravity won't be affected.

Therefore, the gravity, which is an acceleration to the center of the earth, will be the same.

I hope it helps you!

Answer

given,

spring is stretched = 23 cm

                             x = 0.23 m

Force experiences = 103 N

we know,

 F = k x

where k is the spring constant

 [tex]k =\dfrac{F}{x}[/tex]

 [tex]k =\dfrac{103}{0.23}[/tex]

       k = 447.83 N/m

Assuming we have to calculate the energy stored in the spring

energy stored in the spring

 [tex]U =\dfrac{1}{2}kx^2[/tex]

 [tex]U =\dfrac{1}{2}\times 447.83 \times 0.23^2[/tex]

        U = 11.85 J

hence, energy stored in the spring is equal to U = 11.85 J

Answer:

The elastic potential energy stored in the bungee cord = 20 J

Explanation:

potential energy: This is the energy possessed by a body due to its position. The S.I unit of energy is Joules. The mathematical expression for elastic potential energy is given below

E = 1/2ke²................ Equation 1

Where E = elastic potential energy of the spring, k = force constant of the spring, e = extension

Given: K = 10 N/m, e = 2.00 m

Substituting these values into Equation 1

E = 1/2(10)(2)²

E = 5×4

E = 20 Joules.

Therefore the elastic potential energy stored in the bungee cord = 20 J

Final answer:

The elastic potential energy stored in a bungee cord with a spring constant of 10.0 N/m and stretched 2.00 m is 20.0 joules.

Explanation:

The amount of elastic potential energy stored in a bungee cord can be calculated using the formula for the potential energy in a spring: E = 1/2 kx², where E is the elastic potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position. In this case, with a spring constant of 10.0 N/m and a displacement of 2.00 m . Putting all these values into the equation we get the energy stored is E = 1/2 (10.0 N/m)(2.00 m)² = 20.0 J.

Answer:

1000 ft

Explanation:

There are six lines which has a total length of 0.5 inches on the map. This is known as the scale of a map.

On the map we have

[tex]1\ inch=2000\ ft[/tex]

So, the distance between first and sixth line is 0.5 inch

[tex]0.5\ inch=0.5\times 2000[/tex]

[tex]\Rightarrow 0.5\ inch=1000\ ft[/tex]

The distance is 1000 ft on the map

Answer

given,

difference between the two consecutive maximum

λ = 0.870 - 0.540

λ = 0.33 m

speed of sound = 340 m/s

b) frequency of the sound

v = f x λ

340 = f x 0.33

[tex]f =\dfrac{340}{0.33}[/tex]

    f = 1030.3 Hz

a) phase difference

  the expression of phase difference is given by

   [tex]\phi = \dfrac{2\pi}{\lambda}\ \delta[/tex]

   [tex]\delta = \Delta x - \lambda[/tex]

   [tex]\delta = 0.540 - 0.33[/tex]

   [tex]\delta = 0.21\ m[/tex]

now,

   [tex]\phi = \dfrac{2\pi}{\lambda}\ \times 0.21[/tex]

   [tex]\phi = \dfrac{2\pi}{0.33}\ \times 0.21[/tex]

   [tex]\phi = 3.99 rad[/tex]

Final answer:

The phase difference between the speakers is zero at both maxima, and the frequency of the sound waves is approximately 1030.3 Hz, calculated using the speed of sound and the measured wavelength.

Explanation:

When two loudspeakers emit sound waves that interfere constructively at certain points, it means the sound waves are in phase at those points, and the listener hears a maximum in sound intensity. The listener hears a maximum sound intensity when the path difference between the two speakers is an integer multiple of the wavelength.

The first maximum occurs when speaker 1 is at x = 0.540 m, and the second maximum occurs when speaker 1 is at x = 0.870 m. The distance between these two points is 0.330 m (0.870 m - 0.540 m), which corresponds to one wavelength, λ. Therefore, λ = 0.330 m.

Phase difference between the speakers is initially zero since they are in sync when speaker 1 is at 0.540 m. When speaker 1 is moved to 0.870 m, they are again in sync, indicating that speaker 1 has moved forward by one wavelength. The frequency of the sound can be determined using the equation for the speed of sound, v = fλ, where v is the speed of sound (340 m/s) and λ is the wavelength (0.330 m).

Calculating Frequency

The frequency is thus calculated as:

f = v / λ = 340 m/s / 0.330 m = approximately 1030.3 Hz.

Answer:

the principle of original horizontality and the principle of superposition

Explanation:

The principle of horizontality states that layers of sediment are originally deposited horizontally under the influence of gravity.

The principle of superposition states that the oldest layer layer is at the bottom and each layer above it is younger, with the youngest being at the top.

Unconformities help us find the age of different layers. An unconformity is a surface in which no new solid matter is deposited after a long geologic interval. Angular unconformity is a type of unconformity which different kinds of stratum were tilted or folded before deposition of younger layers of solid matter above the unconformity. Once the layers were folded and tilted, the older layers of the solid matter eroded, then the younger layers were deposited on the older layers. There angular unconformity is the contact between young and old layers of solid matter.

Therefore, these two principles therefore describe how the tilted layers are older than horizontal layers.

Answer:

The final temperature = 293 K or 20 °C

Explanation:

Heat gained by water at 0°C = heat lost by water at 30°C

c₁m₁(T₃ - T₁) = c₂m₂(T₂-T₃).......................... Equation 1

Making T₃ the subject of the equation,

T₃ = (c₂m₂T₂ + c₁m₁T₁)/(c₁m₁+c₂m₂)............. Equation 2

Where m₁ =mass of water at 0°C, c₁ = specific heat capacity of water at 0°C , c₂ = specific heat capacity of water at 30°C,  m₂ = mass of water at 30°C, T₁ = initial temperature of water at 0°C, T₂ = initial temperature of water at 30°C, T₃ = final temperature.

Given: m₁ = 50 g = (50/1000) kg = 0.05 kg, m₂ = 100 g = (100/1000) kg = 0.1 kg., T₁ = 0°C = 273 K, T₂ = 30°C = (30+273 )= 203 K

Constants: c₁ = c₂ = 4200 J/kg.K

Substituting these values into equation 2,

T₃ = (4200×0.1×303 + 4200×0.05×273)/(4200×0.1 + 4200×0.05)

T₃ = (127260 + 57330)/(420+210)

T₃ = 184590/630

T₃ = 293 K.

Therefore the final temperature = 293 K or 20 °C

Answer:

The maximum height that the fish can jump is 2.19 m.

Explanation:

Hi there!

Please, see the attached figure for a better understanding of the problem.

The motion of the salmon is a parabolic one because when it jumps, it already has a horizontal velocity (see figure).

The position and velocity vectors of the salmon at a time t, can be calculated as follows:

r = (x0 + v0x · t, y0 + v0y · t + 1/2 · g · t²)

v = (v0x, v0y + g · t)

Where:

r = position of the salmon at time t.

x0 = initial horizotal position.

v0x = initial horizontal velocity.

t = time.

y0 = initial vertical position.

v0y = initial vertical velocity.

g = acceleration of gravity.

Looking at the figure, notice that at the maximum height, the vertical velocity is zero (because the velocity vector is horizontal). Using the equation of the vertical component of the velocity, we can obtain the time at which the salmon is at its maximum height:

vy = v0y + g · t

To find the initial vertical velocity, v0y, let´s look at the figure. Notice that the initial velocity is the hypotenuse of the triangle formed with the horizontal velocity and the vertical velocity. Then:

v0² = v0x² + v0y²

Solving for v0y:

v0y = √(v0² - v0x²)

v0y = √((6.75 m/s)² - (1.65 m/s)²)

v0y = 6.55 m/s

Now, using the equation of the vertical component of the velocity at the maximum height (vy = 0):

vy = v0y + g · t

0 = 6.55 m/s + (-9.8 m/s²) · t

-6.55 m/s / -9.8 m/s² = t

t = 0.67 s

Now, using the equation of the vertical position at t = 0.67 s, we can find the maximum height:

y = y0 + v0y · t + 1/2 · g · t²

y = 0 m + 6.55 m/s · 0.67 s + 1/2 · (-9.8 m/s²) · (0.67 s)²

y = 2.19 m

The maximum height that the fish can jump is 2.19 m.

Answer:

Explanation:

Diesel engines burn as much as 30% less fuel than gasoline engines of comparable size, as well as emitting far less carbon dioxide gas and far fewer of the other gasses that have been implicated in global warming.

(A) of comparable size, as well as emitting far less carbon dioxide gas and far fewer of the other gasses that have

(B) of comparable size, as well as emit far less carbon dioxide gas and far fewer of the other gasses having

(C) of comparable size, and also they emit far fewer carbon dioxide and other gasses that have

(D) that have a comparable size, and also they emit far fewer of the other gasses having

(E) that have a comparable size, as well as emitting far fewer of the other gasses having

A is the most appropriate statement above. Diesel engine consume less energy and release fewer gases than the gasoline engines .

Both engine(Diesel and gasoline) converts chemical energy to electrical energy.

Answer:

30 mph

Explanation:

An average freight train traveling at 30 mph needs a stopping distance of more than 1/2 mile.

Answer:

The frictional force between the tire made with the road

Explanation:

This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway.

The force providing the necessary centripetal acceleration when a car turns a corner on a level road is the force of friction between the tires and the road. This force points towards the center of the curve, counteracting the centrifugal force and facilitating the turn.

When a car turns a corner on a level road, the force that provides the necessary centripetal acceleration is the force of friction between the car's tires and the road. This frictional force, which points towards the center of the curved path, prevents the car from moving in a larger-radius curve and leaving the road. The sharper the curve and the greater the car's speed, the more substantial this centripetal force becomes. For instance, your car pushes you toward the center of the turn when turning at high speeds or in sharp curves. This friction also counteracts the centrifugal force experienced by you which appears as if you are being pushed away from the center of the turn.

The force of friction is calculated using the equation f = Fc = μ₂N, where μ₂ is the coefficient of friction and N is the normal force. The normal force equals the car's weight on level ground (N = mg), and therefore, in such a scenario, the centripetal force is Fc = f = μ₂mg.

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Answer:

4.

Explanation:

Option number 4 is true out of all the options provided.

1. The Intergovernmental Panel on Climate Change (IPCC) has not ruled that all future research use the one computer climate model, and they have not concluded that it is the best.

2. The worst-case scenario predicts that global warming will increase the average temperature by 1.5°C - 2°C. Not from 15°C to 20°C.

3. Very few climate scientists believe that current temperature increases are due to natural cycles of short-term climate changes.

4. Over the past century, there has been an increase in industrial work, car and truck emissions, and the population of humans have increased dramatically. Add that to deforestation and there is a clear explanation as to why there has been an increase in the concentration of carbon dioxide in the air.

The correct statement is that the carbon dioxide concentration in the atmosphere has increased in the last century. The IPCC does not enforce a single climate model, and most climate scientists recognize anthropogenic factors in temperature rise, projecting an average global increase of 2°F to 11.5°F by 2100.

Of the statements presented, the last one is true: Carbon dioxide concentration of the atmosphere has increased in the last century. This is a well-documented fact, and the increase in CO2 levels is largely attributed to human activities such as burning fossil fuels, deforestation, and industrial processes. The Intergovernmental Panel on Climate Change (IPCC) does not mandate the use of a single climate model but rather reviews and assesses the most recent scientific literature using a variety of models.

Furthermore, most climate scientists agree that the current temperature increases are not due solely to natural cycles but are significantly influenced by anthropogenic emissions of greenhouse gases. Predicting exact future annual temperature increases is complex, but models generally project an average global temperature rise by 2100 of approximately 2°F to 11.5°F, which contradicts the second statement regarding a drastic 5°C increase by 2050. The projected temperature rise over land will be more rapid than over oceans and will vary from region to region.

Answer: London dispersion forces (i.e LDF), also known loosely Van dear Waals forces.

Explanation: The London dispersion forces is named after the German - American physicist called Fritz London.

The London dispersion forces describes the interaction between two atoms A and B after London discovered the "quantum mechanical theory".

London dispersion theory is similar to the quantum mechanical theory of "light dispersion", that is why it is called "dispersion effect". In Physics,dispersion can be explained as the variation of a quantity with frequency, which is the fluctuation of the electrons in the case of the London dispersion.

The intermolecular force found in all molecules and atoms is the London dispersion force, which occurs due to temporary fluctuations in electron distribution resulting in temporary dipoles and weak attractive forces.

The intermolecular force that can be found in all molecules and atoms is the London dispersion force. This force occurs due to temporary fluctuations in electron distribution, which can create temporary dipoles. These temporary dipoles can induce neighboring molecules or atoms to have temporary dipoles as well, leading to a weak attractive force.

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Answer:

Rate of heat conduction will be 935 Watt

Explanation:

We have given thickness of the floor d = 1.6 cm = 0.016 m

Area [tex]A=4\times 5.5=22m^2[/tex]

Temperature difference [tex]\Delta T=19.5-16.1=3.4^{\circ}C[/tex]

Thermal conductivity of the wood k = 0.200 w/M-K

We have to find heat conduction

Heat conduction is given by [tex]\frac{Q}{t}=\frac{kA\Delta T}{d}=\frac{0.200\times 22\times 3.4}{0.016}=935Watt[/tex]

Rate of heat conduction will be 935 Watt

Answer:

Technician B

Explanation:

It is a known fact that the Throttle Position (TP) sensor, is used by the PCM to determine torque converter engagement and transmission shift points. The TP is a 3 wire potentiometer, often used for vehicle fuel-management systems which includes a voltage of +5V applied to the PCM, not the resistive layer.

Both Technician A and Technician B are correct. Technician A accurately described the three wires on the TP sensor, and Technician B correctly noted that the TP sensor is used by the PCM to manage torque converter engagement and transmission shift points.

The question asks about the function of the TP (Throttle Position) sensor and whom out of Technician A and Technician B is correct in their statement. Technician A claims that there are three wires connected to the TP sensor, which include a 5-volt reference voltage from PCM, a signal wire to PCM, and a ground wire to the engine block. Technician B states that the TP sensor is used by the PCM to determine torque converter engagement and transmission shift points.

Technician A is correct in their description of the TP sensor's wiring. The typical TP sensor indeed has a 5-volt reference voltage supplied by the PCM (Powertrain Control Module), a signal wire that sends information back to the PCM based on the throttle position, and a ground wire usually connected to a common ground on the vehicle and not necessarily to the engine block directly.

Technician B is also correct. The TP sensor is one of several sensors used by the PCM to calculate the load on the engine and determine the appropriate time to engage the torque converter lockup and to adjust the automatic transmission's shift points for optimal performance and fuel economy.

Answer:

4.5*10^12

Explanation:

5.5=2/3log(E/10^4.4)

8.25=log(E10^4.4)

10^8.25=E/10^4.4

E=10^4.4*10^8.25

E=10^12*4.5

Magnitude is an earthquake's greatest commonly used measure of size. It is a measure of the size of the source for just an earthquake. so, it is identical regardless of how or where you perceive it, and the further calculation can be defined as follows:

Given formula:

[tex]\to\bold{ magnitude\ M = \frac{2}{3} \log \frac{E}{E_0}}[/tex]

The minimum measure released by such an earthquake shall be allocated to where E is the amount of power released in Joules and [tex]\bold{ E_0=10^{4.4}}[/tex].

As 5.5, then put in the above equation this same magnitude is given:

[tex]\to\bold{ magnitude\ M = \frac{2}{3} \log \frac{E}{E_0}}[/tex]

                       [tex]\bold{5.5= \frac{2}{3} \log(\frac{E}{10^{4.4}})}\\\\ \bold{8.25=\log( \frac{E}{10^{4.4}})} \\\\ \bold{10^{8.25}=\frac{E}{10^{4.4}}}\\\\ \bold{E=10^{4.4}\times 10^{8.25}}\\\\ \bold{E= 4.5 \times 10^{12} }[/tex]

Therefore the final answer is "[tex]\bold{ 4.5 \times 10^{12} }[/tex]".

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Answer:

White Balance.

Explanation:

White balance is a configuration in our cameras to regulate how different types of light can be used to capture colors. When we take into account the "color temperature" of the light in our scene then we actually setting our white balance correctly.

Hence the correct answer to the question is white Balance.

Answer:

e) Be four times greater

Explanation:

Here we have to use Newton's gravitational law that relates the gravitational force between two objects with their masses ([tex]m_{1} [/tex] & [tex]m_{2} [/tex]) and the distance between them ([tex]r[/tex]) in the next way:

[tex] F=G\frac{m_{1}m_{2}}{r^{2}}[/tex] (2)

Now if distance between asteroids is halved:

[tex]F_{2}=G\frac{m_{1}m_{2}}{(\frac{r}{2})^{2}} [/tex]

[tex]F_{2}=G\frac{m_{1}m_{2}}{\frac{r^{2}}{4}} [/tex]

[tex]F_{2}=G\frac{4m_{1}m_{2}}{r^{2}}=4G\frac{m_{1}m_{2}}{r^{2}} [/tex]

Note that [tex] G\frac{m_{1}m_{2}}{r^{2}} [/tex] because (1) is F so:

[tex]F_{2}=4F [/tex]

It's four times greater!

Final answer:

The gravitational force between two asteroids will be four times greater if the distance between them is halved, due to the inverse square law of gravitation.

Explanation:

When considering gravitational force between two objects, such as asteroids, we refer to Newton's law of universal gravitation, which states that the force is directly proportional to the product of the two masses and inversely proportional to the square of the distance between their centers.

When the distance between two asteroids is halved, the gravitational force they exert on each other is not simply doubled or halved; it changes more drastically because the force is inversely proportional to the square of the distance between them. In this case, the force becomes stronger by a factor of the square of the inverse of the change in distance. Halving the distance increases the force by a factor of four, since (1/2)^2 = 1/4, and inversely, the force is four times greater.

The correct answer to the given question is that if the distance between two asteroids is halved, the gravitational force they exert on each other will be four times greater. Therefore, the correct option is:

Answer:

mc=5.84kg

Explanation:

Given

m i = 106.9  l b s

m i = 48480.7  g

T 1 = T i = 0 °C

T 2 = T s = 100 °C

C p i = 2.10 J / g − C

C p w = 4.18 J / g − C

H f = 333 J / g

H v = 2258 J / g

H c = 25000.00 J / g

According to the first law of thermodynamics, the heat supplied by the coal must be equal to the heat required to convert the ice into water and then the water into steam:

Q c = Q i + Q w + Q s  . . . . . . . . . . . . .  . . . . . .(eq:1)

Since the water will undergo a change in temperature (0 C to 100 C )

Q i = m i ∗ H f..........(eq:2)

Q s= m s ∗ H v..........(eq:3)

heat allows for the change in temperature, calculated as:

Q w = m w ∗ C p w ∗ ( T 2 − T 1 )...........(eq:4)

Integrating Equations 2, 3 and 4 into Equation 1, we get:

Q c = m i ∗ H f + m w ∗ C p w ∗ ( T 2 − T 1 ) + m s ∗ H v ...........(eq:5)

m i = m w = m s = m

Q c = m ∗ ( H f + C p w ∗ ( T 2 − T 1 ) + H v )

Q c = 48480.7 ∗ ( 333 + 4.18 ∗ ( 100 − 0 ) + 2258 ) J

Q c = 145878426.3 J

The heat of the coal is the product of the mass of the coal and its heat of combustion.

Thus:

m c = Q c / H c

m c = 145878426.3/ 2.5 x 10 4 g  

m c = 5835.137052 g

mc=5.84kg

answer;

The hole in the center of the washer will expand

explanation;

A flat metal washer is heated. As the washer's temperature increases, what happens to the hole in the center? A flat metal washer is heated. As the washer's temperature increases, what happens to the hole in the center? The hole in the center will remain the same size. Changes in the hole cannot be determined without know the composition of the metal. The hole in the center of the washer will expand. The hole in the center of the washer will contract.

this is an example of area expansivity.

coefficient of area expansivity is change in area per area per degree rise in temperature

a=dA/(A*dt)

as the temperature rises , there will be volumetric and area expansivity on the body. volume also increases because of the intermolecular forces of attraction between the molecule is now getting apart.

Answer:

220 m/s²

Explanation:

given,

initial speed of car= 22 m/s

final speed of car= 0 m/s

time taken by car to stop= 0.1 s

acceleration of car is equal to change in velocity per unit time

  [tex]a = \dfrac{\Delta v}{t}[/tex]

  [tex]a = \dfrac{v_f-v_i}{t}[/tex]

  [tex]a = \dfrac{0-22}{0.1}[/tex]

         a = -220 m/s²

negative sign represent deceleration of the body

hence, deceleration of car is equal to a = 220 m/s²

Answer:

Physical change: (a) grinding of glass, (c) burning of candle, (d) sanding wood

Chemical change: (b) rusting of iron.

Explanation:

Physical Change: This is the type of change a matter undergoes, it is easily reversible and no new substance is formed.

Chemical Change: Is one which is not easily reversible and a new substance is formed.

From the question above, the following changes can be classified into physical or chemical change

Physical change: (a) grinding of glass, (c) burning of candle, (d) sanding wood

Chemical change: (b) rusting of iron

Classification is as follows Physical change includes grinding of glass, burning of candles, and sanding wood. The chemical change includes rusting of iron.

Physical Change: This is the type of change a matter undergoes, it is easily reversible and no new substance is formed.

Chemical Change: This is one which is not easily reversible and a new substance is formed.

Therefore, the Classification is as follows Physical change includes grinding of glass, burning of candles, and sanding wood. The chemical change includes rusting of iron.

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Answer:

Purkinje Fiber

Explanation:

In normal circumstances, the SA(sinoatrial) node the heart natural  pacemaker, produces electrical activity automatically. This electrical impulse is transmitted across the whole right atrium and into the bundle of Bachmann to the left atrium, arousing the atria's myocardium to contract. And the part through which  the electrical impulse travel most rapidly is called Purkrnje fibers, which is a specialized conducting fiber consisting of electrically excitable cells and these conduct cardiac action potentials more quickly and efficiently than any other cells in the heart.

Answer:

They can expect the size of the rocks to get smaller as the time passes.

Explanation:

They can expect the size of the rocks to get smaller as the time passes.

Answer:

As the wavelength of an electromagnetic wave _decrease__ the frequency of the wave _increase_______.

Explanation:

What is the relationship between frequency and wavelength?

Wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength.

That number, also known as the frequency, will be larger for a short-wavelength wave than for a long-wavelength wave. The equation that relates wavelength and frequency is:

V= fλ

where v= velocity

           f= frequency

            λ = wavelength

⇒ f = v/λ  

also f ∝ 1/λ

For electromagnetic radiation, the speed is equal to the speed of light, c, and the equation becomes:

C= fλ

where c= Speed of light

           f= frequency

            λ = wavelength

⇒ f = v/λ  

also f ∝ 1/λ

Answer:

661748 J

Explanation:

kinetic energy =(1/2) (mass ) (SPEED)^2

                        = (0.5) ( 1125.00)( 34.2929)^2

                        = 661748 J UP TO 6 SIGNIFICANT FIGURES

Answer:

Empathy

Explanation:

Empathy: to understand the thoughts, feelings, or emotional state of another person

Appreciation: to show gratitude

Cooperation: is the association for mutual benefit

Commitment: is the agreement to do something.

Answer:

d) Black smokers

Explanation:

Hydrothermal vents form at locations where seawater meets magma.

A venting black smoker emits jets of particle-laden fluids. The particles are predominantly very fine-grained sulfide minerals formed when the hot hydrothermal fluids mix with near-freezing seawater. These minerals solidify as they cool, forming chimney-like structures. “Black smokers” are chimneys formed from deposits of iron sulfide, which is black. “White smokers” are chimneys formed from deposits of barium, calcium, and silicon, which are white.

Because deposits from hydrothermal vent fluid can contain iron, manganese, copper, zinc, and other minerals, vents have relevance to certain types of ore deposits.

The correct answer is (d)  black smokers

Answer:

[tex]\frac{dD}{dt} = -4 miles/hour[/tex]

negative sign indicates that the distance is decreasing with time

Explanation:

Let at any time t after noon that is 12 p.m.  

distance traveled by car A = 40t

distance traveled by car B = 90-60t

then distance between the two cars at time t

[tex]D^2= (40t)^2+(90-60t)^2[/tex]............1

also, at time 1 p.m.

distance [tex]D^2= (40\times1)^2+(90-60\times1)^2[/tex]

D=50 Km

differentiating equation 1 w.r.t. t we get

[tex]2D\frac{dD}{dt}= 2\times40t\times40+2(90-60t)(-60)[/tex]

put t= 1 and D= 50 we get

[tex]2\times50\frac{dD}{dt}= 3200\times1-3600\times1[/tex]

[tex]\frac{dD}{dt} = -4 miles/hour[/tex]