30 POINTS!

The slope of the Position versus Time Graph represents the object's

A) acceleration

B) displacement

C) position

D) velocity

The gas flow speed in a pipeline with a diameter of 0.250 m delivering 1.55 m³ of gas per second is approximately 31.56 m/s.

The question asks for the flow speed of the gas in a natural-gas pipeline with a specific diameter, which can be calculated through the continuity equation used in fluid dynamics. This equation states that the volume flow rate (Q) is equal to the velocity of the flow (v) times the cross-sectional area of the pipe (A). Therefore, we can rearrange the equation to find the velocity as V = Q/A.

The cross-sectional area A of the pipeline can be calculated using the formula for the area of a circle since the pipe is essentially a circular cylinder: A = πr², where r is the radius of the pipeline. Given the pipeline diameter of 0.250 m, the radius is half this value or 0.125 m. Substituting this into the area formula gives A = π*(0.125 m)² = 0.0491 m².

Finally, we can find the flow speed by dividing the given volume flow rate (1.55 m³/s) by the calculated cross-sectional area: V = Q/A = 1.55 m³/s/0.0491 m² = 31.56 m/s. So, the gas flow speed in the pipeline is approximately 31.56 meters per second.

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When two or more waves are present at the same place at the same time, then the resulting effect is called as superposition.

The principle of Superposition of waves states that the resultant displacement of a group of different waves in a medium at a given point of time at the same place is equal to the vector sum of the individual displacements which are produced through each of the wave at that specific point in the medium. There are two types of superposition of inference of waves and these are the constructive interference and the destructive interference.

Most of the waves generally appears complex in a medium because of the result from the two or more waves which combine as they come together at the same place at the same point of time in the medium.

An example of superposition of waves is the silt back-fill of any underground drain which would form some time after the ground is present immediately above it.

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Explanation:

Sound signals used in waterways are a mode of communication with the other boaters to avoid any confusion and avoid collisions.

In order to show that we disagree with the other boater decision, the sound signal to blow is five or more short blast. This will give an impression to the other boater that I have not agreed with his decision.

The sound signal that I will give the other boater to inform him that I wish him to pass his boat on my left side is one short blast. This will tell him to pass on my left side.

The sound signal you should use to indicate you disagree with other boaters intentions is five or more short blasts

Five or more short blast shows a danger signal. They are signals used to indicate disagreement. They are one of the types of sound signals that show you are not in agreement with other boater’s intention.

Sound signals are also known as blasts. There are 2 common sound signals, short blast and prolonged blast. They are used when two vessels are heading towards each other.

Although these types of sound signals cannot be used in conditions that affect visibility such as fog.

However, there are different sound signals combinations and it is very important for all boaters to understand what each of the sound signals means.

The short blast is just 1 seconds while the prolonged blast lasts for duration of 4-6 seconds.  

Sound signals can actually mean a change in direction to other boaters, it has different meanings.

One short blast indicate that you are informing other boaters you want to pass them from your port side (left-hand side), prolonged blasts means you are informing other boaters you want to pass them from starboard side (right-hand side) and three shorts blast means you are informing other boaters you are operating astern propulsion

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Answer:

Acceleration

Explanation:

Acceleration is the rate of change in velocity. Mathematically, it is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

Where

v = final velocity of an object

u = initial velocity of an object

t = time taken

It can also be written in differentiating form as :

[tex]a=\dfrac{dv}{dt}=\dfrac{\Delta v}{\Delta t}[/tex]

For an freely falling object, the value of acceleration is equal to g i.e. 9.8 m/s².

The reaction is D. endothermic.

Absorption or need of energy from surroundings is called endothermic process. Heat is the major common form of energy which is absorbed in this process.  In this process, enthaply of reactant is less than the product.

For example, an ice cube placed in the hand for some time starts to melt and it takes energy in the form of heat from the hand. This process always requires energy because of the breaking of existing and formation of new chemical bonds.

The work needed to stop the bus is 500000 J. The work done by the brakes to stop the bus is equal to the change in kinetic energy of the bus.

The initial kinetic energy of the bus is 500000 J. When the bus stops, its kinetic energy is zero.

Therefore, the work done by the brakes is:

W = ΔKE = KE_final - KE_initial = 0 - 500000 J = -500000 J

The negative sign indicates that the work is done by the brakes on the bus.

Therefore, the work needed to stop the bus is 500000 J.

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The amount of work that is needed to stop the bus is the same energy it has so 500000 joules

The work needed to stop the bus is equal to the bus's kinetic energy.

In this case, the work done by the brakes is used to convert the bus's kinetic energy into heat energy. The heat energy is dissipated into the environment.

Therefore, the work needed to stop the bus is 500000 joules.

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The correct answer to the question is 8.33 minutes.

CALCULATION:

The distance of earth from sun s = 150 million km.

We know one million = 10 lakh = [tex]10^6[/tex]

Also 1 km = [tex]10^3\ m[/tex]

Hence, the distance s = [tex]150\times 10^6\times 10^3\ m[/tex]

                                     = [tex]15\times 10^{10}\ m[/tex]

The speed of light c = 300,000 km per second

                                  = [tex]3\times 10^8\ m/s[/tex]

We are asked to calculate the time.

The time of the reaching earth is calculated as -

                                         [tex]time=\ \frac{distance}{velocity}[/tex]

                                         [tex]t=\ \frac{s}{c}[/tex]

                                                [tex]=\ \frac{15\times 10^{10}} {3\times 10^8}\ second[/tex]

                                                [tex]=\ 500\ seconds[/tex]

We know one minute = 60 second.

Hence, 500  seconds = [tex]\frac{500}{60}\ minute[/tex]

                                     = [tex]8.33\ minute[/tex]       [ans]

Answer:

about 10 minutes

Explanation:

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A neutron and a large nucleus.

Answer:

The ability of space-time to move

Explanation:

The ability of space-time to move, as allowed by Einstein's general theory of relativity, potentially enables faster-than-light travel by distorting space-time. This aspect is foundational to the concept of a warp drive, which could let objects traverse vast distances quickly without locally breaking the light speed limit.

The aspect of relativity that makes faster-than-light travel theoretically possible is Option  B) the ability of space-time to move. According to Einstein's general theory of relativity, massive objects cause a distortion in space-time, which in theory could allow for shortcuts like wormholes, potentially enabling superluminal (faster-than-light) travel without violating the universal speed limit set by the speed of light in a vacuum.

As per the GRASP CHECK, the correct statement is d. The space-time continuum is distorted by gravity, and gravity affects the motion of light. This principle signifies that gravity can bend the path of light, indicating its profound effect on the fabric of space-time itself. Such a bending of space-time, extended to the concept of a warp drive, might facilitate travel across vast distances in less time than light, while the object itself would not locally exceed the speed of light.

Special relativity is a realm of physics dealing with high-speed motion and shows how time, length, and relativistic mass are affected. Effects like time dilation and length contraction become significant only at speeds approaching that of light, hence their consideration in science fiction plots involving relativistic travel, like the example B given in the science fiction plots question.

Answer:

c

Explanation:

The time period of a simple pendulum is defined as the time taken by the pendulum to finish one full oscillation .

Time period (T) of a simple pendulum = 2π[tex]\sqrt{l/g}[/tex]

given :

Time period (T1) = 3.8 second

L1 = ?

Time period (T1) = 2π[tex]\sqrt{L1/g}[/tex]

3.8 sec = 2 * 3.14 [tex]\sqrt{L1/9.8}[/tex]

squaring both the sides

14.44 = 39.44 * ( L1 / 9.8 )

L1 = 35.16  m

since , the length of the pendulum is doubled

L2 = L1*2 = 35.16 * 2 = 70.32 m

Let the period t of the longer pendulum will be = T2

Time period (T2) = 2π[tex]\sqrt{L2/g}[/tex]

    = 2 * 3.14 [tex]\sqrt{70.32/9.8}[/tex]

    = 16.83 seconds

The time period t of the longer pendulum will be  16.83 seconds

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Final answer:

Doubling the length of a simple pendulum increases its period according to the square root of 2, resulting in a new period of approximately 5.37 seconds from the original 3.8 seconds.

Explanation:

The question asks about the effect of doubling the length of a simple pendulum on its period. To approach this, we rely on the formula for the period of a simple pendulum: T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Doubling the length of the pendulum means that we replace L with 2L in the formula, which affects the period.

To find the new period after doubling the length, we calculate T'= 2π√(2L/g). This can be simplified to T' = T√2, given that T is the original period. Since the original period is given as 3.8 seconds, we calculate the new period as 3.8√2, which approximates to 5.37 seconds.

Answer:

Responses may vary but should include some or all of the following information:   Sternberg’s theory of intelligence includes analytical, practical, and creative intelligence. Analytical intelligence is the type of intelligence used to problem solve. It involves abstract reasoning ability and evaluation skills. Practical intelligence is the type of intelligence that involves the ability to understand everyday tasks and how efficient one is in adapting to the surrounding environment. Creative intelligence is the type of intelligence that involves the ability to react to novel situations or stimuli.

Explanation:

hope this helped! ^-^

Robert Sternberg's triarchic theory includes analytical intelligence (problem-solving, analysis), creative intelligence (creating, imagining), and practical intelligence (application of knowledge in day-to-day situations).

Robert Sternberg's triarchic theory of human intelligence consists of three types or categories: analytical intelligence, creative intelligence, and practical intelligence. Analytical intelligence relates to problem-solving and the analytical evaluation of information. For example, answering a multiple-choice quiz requires analytical intelligence. Creative intelligence involves creating, designing, imagining, or supposing. A student using creative intelligence might generate innovative ideas for a school project. Practical intelligence pertains to the application of intellectual skills in everyday contexts. One might use practical intelligence when navigating a social situation or solving real-world problems.

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The Ferris wheel at the landmark navy pier in Chicago takes 7 minutes to make one full rotation. This gives car's minimum height is 10 feet.

As the value of a function which is modeled in sine function vary from -1 to +1. The range of modeled sine function is from [-1,+1]

Given information-

The Ferris wheel at the landmark navy pier in Chicago takes 7 minutes to make one full rotation.

The function of height (h) modeled is in the sine function.

The time (t) is in minutes.

In the given function for the height for the time and height graph the sine function is in the product with the number 70.

As the value of sine function varies from -1 to +1. Thus the maximum height of the car should be at +1 value of sine and the minimum height of the car should be at -1 value of sine.

Thus for the minimum height the value of sine must be -1. As function is in the product with the number 70. Thus the value will of height will be,

H(t)=70(-1)+80

H(t)=10

Thus, this car's minimum height is 10 feet.

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Charles's law formula describes a direct relationship between the volume and absolute temperature of a gas at constant pressure. The formula is V1/T1 = V2/T2. It explains why gas contracts or expands with temperature changes.

The formula for Charles's law describes a direct relationship between the volume and absolute temperature (measured in Kelvin) of an ideal gas, provided the pressure remains constant. The formula is V1/T1 = V2/T2 where V1 and V2 are the initial and final volumes and T1 and T2 are the initial and final temperatures.

For example, if you have a gas in a balloon at room temperature (say, 300 Kelvin), and the balloon is inflated to a certain volume, if you then cool the gas to half the initial temperature (150 Kelvin), the volume of the gas (balloon) will also contract to half of its initial volume. This is the principle of Charles's law, showing a direct temperature-volume relationship in gases.

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Charles's Law is represented by the formula V₁/T₁ = V₂/T₂, which shows the relationship between the volume and temperature of a gas at constant pressure.

Charles's Law describes the relationship between the volume and temperature of a gas at constant pressure. According to this law, the volume of a gas is directly proportional to its temperature when pressure remains constant. When represented as mathematical formula the Charles's Law is:

V₁/T₁ = V₂/T₂

Here, V₁ and T₁ represent the initial volume and temperature of the gas, while V₂ and T₂ represent the final volume and temperature of the gas.

Complete Question

Which of the following formulas best describes Charles's law? V₁/T₁ = V₂/T₂ ,  P₁V₁ = P₂V₂ , P₁V₁/P₂V₂ , P₁/T₁ = P₂/T₂

Answer:

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Explanation:

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True, spaceships have provided invaluable information about Mercury, Venus, and Mars through missions like the MESSENGER, sending back details about the planet's surfaces and their atmospheres.

True, space ships have indeed provided scientists with important information about Mercury, Venus, and Mars. For instance, data from the MESSENGER mission helped scientists create a rotating globe of Mercury, showing variations in the planet's surface composition. Furthermore, probes have successfully penetrated the atmospheres of Venus and Mars, landed on their surfaces, and obtained significant data.

In 1971, NASA's Mariner 9 became the first spacecraft to orbit another planet, mapping the entire surface of Mars and discovering a plethora of geological features. Similarly, on Venus and Mercury, spacecrafts have sent back detailed photos and compositions of their surfaces.

Therefore, space ships are indeed a critical tool in our ongoing exploration and understanding of our celestial neighbors.

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From the question, the refractive index is 1.1

The constant distance is 299,792,458 m

Therefore, speed of light is distance travelled/refractive index

= (299,792,458 m/s) / 1.1 = 272,538,598 m/s

The speed of light is 272,538,598 m/s

The speed of light is the average distance light waves is travelling through a medium at an average period of time.

Therefore, The speed of light is 272,538,598 m/s.

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