The North American and European continents are moving apart at a rate of about 3 cm/y. At this rate how long will it take them to drift 480 km farther apart than they are at present?

The acceleration of the car between 2 and 5 seconds is 0m/[tex]s^{2}[/tex].

How can the velocity time graph be used to determine the acceleration?

Calculating acceleration involves dividing the change in velocity, expressed in meters per second, by the time required for the change, expressed in seconds. The acceleration is measured in m/[tex]s^{2}[/tex].

As we are aware, velocity = distance / time.

And acceleration = velocity / time.

The linear graph shows that the distance travelled at the time interval of 2 seconds is 10 m. Hence the velocity([tex]v_{1}[/tex]) =10/2 = 5m/s.

The graph shows that the distance travelled is 25 m at time interval of 5 seconds. Hence the velocity ([tex]v_{2}[/tex]) =25/5 = 5m/s.

Acceleration between 2 and 5 seconds is now calculated as

([tex]v_{1}[/tex]-[tex]v_{2}[/tex]) / ([tex]t_{2}[/tex]-[tex]t_{1}[/tex]) = (5-5)/(5-2) = 0 m/[tex]s^{2}[/tex]

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Answer:

The tortoise won the race by approximately [tex]33\; {\rm s}[/tex].

Explanation:

Note that speed in the question is measured in meters-per-second. Apply unit conversion and ensure that times in this question are also measured in seconds:

[tex]\begin{aligned} &1\; {\text{hour}} + 15\; {\text{minute}} \\ =\; & 1\; {\text{hour}} \times \frac{3600\; {\rm s}}{1\; {\text{hour}}} + 15\; {\text{minute}} \times \frac{60\; {\rm s}}{1\; \text{minute}} \\ =\; & 4500\; {\rm s}\end{aligned}[/tex].

Time required for the tortoise to finish the race:

[tex]\begin{aligned} \text{time} &= \frac{\text{distance}}{\text{speed}} \\ &= \frac{1000\; {\rm m}}{0.20\; {\rm m\cdot s^{-1}}} \\ &= 5000\; {\rm s}\end{aligned}[/tex].

The time required for the hare to finish the race includes:

[tex]\begin{aligned} \frac{800\; {\rm m}}{2.0\; {\rm m\cdot s^{-1}}} + 4500\; {\rm s} + \frac{200\; {\rm m}}{1.5\; {\rm m\cdot s^{-1}}} \approx 5033\; {\rm s} \end{aligned}[/tex].

Therefore, the tortoise wins the race by approximately [tex]5033\; {\rm s} - 5000\; {\rm s} = 33\; {\rm s}[/tex].

Food webs are better representations of how energy moves through an ecosystem than food chains because these diagrams can exhibit how a particular trophic group obtains energy from different sources.

Food webs are interconnected complex diagrams showing the sources of energy that a given group use to maintain their homeostatic internal balance by eating these different sources, while food chains represent linear relationships.

In conclusion, food webs are better representations of how energy moves through an ecosystem than food chains because these diagrams can exhibit how a particular trophic group obtains energy from different sources.

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The carousel that rotates at 0.10 rev/s, takes 125.66 s to go around twice

To solve this uniform circular motion (UCM) problem the formula and the procedure we will use is:

w= (2*π *n)/t

Where:

Information about the problem:

Applying the angular velocity formula and isolating the time, we get:

w= (2*π *n)/t

t = (2*π *n)/w

t = (2 * 3.1416 * 2)rev / 0.10 rev/s

t = 125.66 s

When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular velocity. It is measured in units of (rad/s) (revolutions/s).

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No Change in Current as it passes through a resistor.

When there is an IR drop across a resistor, the current flowing through the resistor causes a change in potential or voltage across the resistor. based on Ohm's law

V = RI

where V is the resistance's voltage.

resistance, or R

I = present

R is now known to be constant.

The applied voltage also affects the current for a particular resistance.

Therefore, unless we change the resistance, no change in current is visible when current flows through a resistor.

When the IR drops across the resistor, the potential also drops using Ohm's law.

Thus, the potential energy of the electrons across the resistor drops. But the kinetic energy of the electrons remains the same.

The current is defined by the rate of flow of electrons which remains the same as the kinetic energy did not change.

Hence, the current won't change while passing through the resistor.

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Answer:

Explanation:

which of the following has the smallest particles

The rain showers have continued over a particular area for several days means that a warm front is formed over there due to which slow rainfall will occur over a large area for long period of time. Hence, option A is correct.

In meteorology, a warm front is the leading edge of a warm air mass that advances as a "front," slides over a colder air mass, and replaces the latter by expelling the latter as it passes.

The border between the two air masses is less obvious than it is at the cold front because it is farther away.

When tropical air collides with polar air that is cooler, a warm front is created. Due to the warmer air's reduced density and impending warm front, the atmospheric pressure drops as the temperature rises. As a result of the warm front's longer slope than the cold front's, different kinds of clouds and amounts of precipitation result. Usually, layer clouds like stratus or cirrus can be seen above the warm front.

When a cold front catches up to a warm front and the energy of both fronts combines, it can occasionally cause an occlusion since the warm front moves more slowly than the cold front. A strong depression (low pressure) arises shortly before the warm air is forced upward.

Hence, a warm front must occur where rain showers continued over a particular area for a long period of time.

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refractive index = [tex]\frac{speed of light}{ phase \ velocity \ of \ light}[/tex]

                    n= [tex]\frac{C}{V}[/tex]

                    V= 70% of C

                    V = [tex]\frac{70}{100}[/tex] [tex]\times[/tex]C

                    V = 0.7C

                     n = [tex]\frac{C}{0.7C}[/tex]

                     n = [tex]\frac{10}{7}[/tex]

                    n = 1.428

                    n = 1.43

Refractive index is additionally referred to as the refraction index or index of refraction. The speed of light in a medium depends on the properties of the medium. In electromagnetic waves, the speed is dependent on the optical density of the medium. Optical density is the tendency of the iotas in material to restore the ingested electromagnetic energy. The more optically dense material is, the slower the speed of light. One such indicator of the optical density of a medium is the refractive index.

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The decibel level of a sound that is twice as intense as 90dB is 93.013dB.

What is a decibel level?

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The answer to the given question is 820 Kelvin. Gauss' Law demonstrates how electric fields, E, can be produced by static electricity, q. Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage).

This question is an application of Gauss Law, which states that the pressure P and temperature T of an ideal gas are directly proportional to one another. In other words, adiabatic increase in pressure will result in the same rise in temperature. Mathematically,

it can be written as: 

P1/ T1 = P2/ T2

Therefore, Temperature T2 = 275 kPa * 298K / 100 kPa = 820 K. Thus, the minimum compressor exit temperature possible is 820 Kelvin.

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Alternating current is demonstrated by the limited current that travels through a wire but produces no net charge over time.

In contrast to direct current, which only flows in one direction, alternating current is an electric current that sometimes changes direction and continually fluctuates in amplitude over time.

Unlike direct current (DC), which only travels in one direction and cannot periodically shift, alternating current (AC) is an electric current that occasionally changes direction.

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Answer:

d

Explanation:

Which would have a longer vector arrow?

a: A vector representing 100 miles/hour north

b: Avector representing 100 miles/hour east

c: A vector representing 100 miles/hour south

d: They would all be the same length​

was this the full question

The Aurora Borealis, also known as the Northern Lights, is normally only seen in the most northern regions, like Canada, Alaska & the North Pole. However, in 1859, there was a geomagnetic storm so big the Aurora Borealis was seen as far SOUTH as the United States, Japan, and Australia.

The Aurora Borealis are spectacular lights that are seen in the polar regions.

These lights are produced as a result of interaction between solar winds and the earth's magnetic field.

The solar wind emits from the sun's corona and contains charged particles traveling at a speed of 400 miles/second.

When these charged particles collide with the atoms and molecules of the atmosphere after entering into Earth's magnetic field they produce lights in the northern and southern poles. Big Aurora Borealis is also called geometric storms.

To put it simply, auroras are produced by the collision of different atomic particles such as green and red lights formed by oxygen, blue, pink, and violet lights by nitrogen and helium particles emitting purple light.

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Answer: Navigating by air and by boat is generally done using vectors. Planes are given a vector to travel, and they use their speed to determine how far they need to go before turning or landing.

Answer:

1.32 (3sf)

Explanation:

total distance the sound wave travel= 225 x 2= 450m
450 ÷ 340= 1.32s

The time taken by second ball to land on the floor is 0.30 seconds.

What is the relation between speed, time and distance?

Speed is determined by dividing the distance covered by the time taken. Calculating the units for speed requires knowledge of the units for both time and distance. Since the distance is measured in metres (m) and the time is measured in seconds (s), the units in this example will be metres per second (m/s).

The answer can be calculated by the equation:

[tex]D = V \times T[/tex]

Where, V = speed, T = time, D = distance

So, for first ball the time is given to be 0.60 s and speed is given to be v.

We get equation,

[tex]D = 0.60v[/tex]

For second ball speed is given to 2v and the distance is same as first ball

We get equation,

[tex]D = T_2 2v[/tex]

Where, T₂ = Time taken by second ball

By both the equations of first and second ball. we get,

[tex]0.60v = T_2 2v[/tex]

[tex]T_2 = \frac{0.60}{2}[/tex]

[tex]T_2 = 0.30 s[/tex]

Therefore, the second ball will take 0.30 seconds to land on the floor.

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The distance covered by the ladybug from the moment she begins to de-accelerate until the moment she comes to rest is 2 cm.

The three equations of motion are -

v = u + at

S = ut + 1/2 at²

v² - u² = 2aS

Given is a ladybug which is moving at a speed of 1 cm/s. She begins to decelerate at a rate of -0.25 cm/s² until she comes to rest. From this we can write -

initial velocity [u] = 1 cm/s

final velocity [v] = 0 m/s

acceleration [a] = -0.25 cm/s² = 1/4 cm/s²

Using the first equation of motion -

v = u + at

0 = 1 - t/4

t/4 = 1

t = 4 sec

Using second equation of motion -

S = ut + 1/2 at²

S = 1 x 4 - 0.5 x 0.25 x 4 x 4

S = 4 - 2

S = 2 cm

Using third equation of motion, we can directly find out the distance covered -

v² - u² = 2aS

- 1 = - 2 x 1/4 x S

S/2 = 1

S = 2 cm

Therefore, the distance covered by the ladybug from the moment she begins to de-accelerate until the moment she comes to rest is 2 cm.

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If the earth were twice as far as it actually is from the sun, the force of gravity attracting the earth to the sun would be one-quarter as strong as it once was.

Any two objects with mass are constantly attracted to each other by a force. This force is called gravity. According to Sir Isaac Newton, the force of gravity between two objects depends on the mass of the objects and the distance between them.

Newton's law of universal gravitation states that "the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of their distance apart". Taking only the distance apart into consideration, the force of gravity decreases exponentially as distance increases.

This shows that the more the earth moves away from the sun, the more the force of gravity between the earth and the sun decreases. For example, let's take the current distance between the earth and the sun as 1 unit and the force of gravity as 1 unit also. If we were to double the distance between the earth and the sun, it will mathematically be written as:

    Force of gravity, F = 1/d^2

    where d = distance between the earth and the sun.

    Hence, F = 1/2^2

                 F = 1/4

Therefore, when the distance is doubled, force of gravity decreases by a factor of 1/4.

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Based on the law of conservation of energy the fact that is true is energy can neither be created or destroyed.

The capacity to do work is called energy. The Law of conservation of energy states that energy can neither be created nor be destroyed. Although, it may be transformed from one form to another and the total energy of an isolated system always remains constant. This implies that a system always has the same amount of energy, unless it's added from the outside.

Thus Law of conservation of energy is true for every matter present on earth.

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The low value for the measure of variation is b) the data set is normal.

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This situation shows the power of positive emotion in shaping emotional reactions.

We as people often  enjoy feeling positive emotions when they are said to be enjoyable to experience. Note that Positive emotions is one that help us see new kinds of possibilities, and thus it is one that makes it easier for us to learn new things and boast as well our talents.

As a result, a person can be able to perform better in regards to assignments as well as assessments. People who do regularly experience any form of good emotions are people who have a ability  to be happier, healthier, well intelligent, as well as socially adept.

Therefore, based on the above, This situation shows the power of positive emotion in shaping emotional reactions.

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24.49g of aluminium can be plated onto the object in 755 minutes at 5.80 A of current.

Electric current is the quantity of electric charge moving across a given area at a certain rate. I designates it. Ampere is the SI unit for current. It is measured with an instrument called an ammeter. The presence of charge carriers results in the charge. Charge carriers often include electrons or entities deficient in electrons. A key characteristic of subatomic particles is charge. Coulomb is the common unit of charge.

We require correlations between charge and moles of substance in order to calculate the mass of plated aluminum. As a result, we compute:

Charge = It

5.80 × 755 × 60 = 262740 C.

Al may be plated at ,

[tex]262740C (\frac{1mole^{-} }{96500C} )[/tex] × [tex](\frac{1 molAl}{3 mole e^{-} } )[/tex] × [tex](\frac{26.98g}{1mol} )[/tex] [tex]=24.49g[/tex]

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The purpose of Archimedes screw is to lift water to a higher point than the source of water.

In an Archimedes screw a helical screw is enclosed in a tube. So water entering the tube is trapped in the first pocket. As the screw turns, the water trapped in the first pocket moves up to the next pocket and a new  scoop of water enters the first pocket. As the screw keeps turning the water gets risen to a higher level than the initial level.

Therefore, the purpose of Archimedes screw is to lift water to a higher point than the source of water.

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What is it?

The Archimedes Screw allows people to draw water uphill, and this was made over 2,000 years ago! This simple invention had huge implications and it has been used on everything from irrigation to bilge pumps on ships.

How is it used today?

Humans still use this device today for many different reasons. As well as being able to move water uphill, it's also used in the hydroelectric industry where the design is reversed. In other words, water flows downward through the screw, tuning it, and generating electricity.

In addition, the screw pump is used today in modern medicine to maintain steady blood flow within patients who have acute heart failure.

The data link layer of the OSI model is targeted by the threat of layer 2 attacks.

The International Organization for Standardization (IOS) developed the open system's interconnection (OSI) model, a conceptual framework that enables various communication systems to exchange data via agreed-upon protocols. The OSI, or Open Systems Interconnection, offers a standard for various computer systems to be able to communicate with one another.

One could think of the OSI Model as a common language for computer networking. Its foundation is the idea that a communication system may be broken down into seven abstract levels, each one built on top of the previous.

Hence, the threat of a layer 2 assault is directed against the OSI model's data link layer.

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The correct answer is an option (b) 2.30 kg.

Density is denoted by the symbol 'p'. The density of a substance is directly proportional to its mass and inversely proportional to its volume. It means that with an increase in mass density also increases and with a decrease in volume density also decreases.

The volume of the intravenous glucose solution is v.

v = 2 L

The density of the intravenous glucose solution is p.

p = 1.15 mL

The mass of the intravenous glucose solution is,

1 L = 1000 mL

2 mL = 2000 mL

[tex]Density = \frac{Mass}{ Volume}[/tex]

[tex]p = \frac{m}{v} [/tex]

[tex]1.15 = \frac{m}{2000} [/tex]

m = 1.15 × 2000

m = 2300 g

m = 2.30 kg.

The mass of the intravenous glucose solution is 2.30 kg.

Therefore, the correct answer is an option (b) 2.30 kg.

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Using the python interpreter as a calculator, the volume of the sphere having radius 5 is calculated as 523.5987749999999.

The volume of the sphere is 523.5987749999999

The Python interpreter is a virtual machine, which means that it is computer simulation software.

This specific virtual machine is a stack machine; to carry out its tasks, it manipulates a number of stacks (as contrasted with a register machine, which writes to and reads from particular memory locations).

Interpreted terminology

Python is an interpreted language, therefore programmers written in it are translated from their source code into bytecode before being run by the Python virtual machine.

Because Python code does not need to be created and linked like code for other popular compiled languages, such C and C + +, it differs from these languages.

Given that

Pi = 3.14159265

r = 5

V = 4/3 x π x r x 3

V = 523.5987749999999

Print (The volume of the sphere is: 1, V)

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The answer is 0.4 m³, in order to float, the boat must displace its own mass in water.

Since the boat weighs 10,000,000 kg, and water has a density of 1000 kg/m3, the boat must displace

(10,000,000 kg) / (1000 kg/m³)

= 10,000 m³ of water in order to float.

(Or 10⁴ m³, as written above)

Surface tension is the propensity for liquid surfaces that are at rest to condense into the smallest surface area. Razor blades and insects (like water striders), which have a higher density than water, can float on the surface of the water without even partially submerging due to surface tension. Typically, there are two forms of density: absolute density and relative density. The ratio of a substance's density to the density of a reference material is known as its relative density, sometimes referred to as specific gravity.

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The ratio of the kinetic energy is 1 : 3 .

We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed.

From the question above, we know that

v1 = 27 m/s

v2 = 54 m/s

Find initial kinetic energy (0 to 27m/s)

KE1 = 1/2 . m . v1²

KE1 = 1/2 . m . 27²

KE1 = 364.5 m joules

Find final kinetic energy

KE2 = 1/2 . m . v2²

KE2 = 1/2 . m . 54²

KE2 = 1458 m joules

Hence, the energy required to accelerate (27 to 54 m/s) is

ΔKE = KE2 - KE1

ΔKE = 1458m - 364.5m

ΔKE = 1093.5m joules

By comparing these two kinetic energy, hence

KE1 / ΔKE = 364.5m / 1093.5m

KE1 / ΔKE = 1 / 3

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The fluid with a volume of 24 l that weighs 205 N has a mass of: 20.918 kg and a density of: 0.8715 kg/l

To solve this exercise, the formulas and procedures to be applied are:

Where:

Information about the problem:

Applying the weight formula and clearing the mass we get:

W = m * g

m = W/g

m = 205 N/9.80 m/s²

m = 20.918 kg

Applying the density formula, we get:

d = m/v

d = 20.918 kg/ 24 l

d = 0.8715 kg/l

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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Answer: Ok, ok, I have the same questions and I got them right, here is your answer...

1) Which block has the greatest density?

Answer: Block A

2) Which block has the lowest density?

Answer: Block B

Explanation: For the first question, Block A has the largest whole number, making it have the greatest density.

For the second question, Block B 0.64 has the lowest number behind the decimal in the tenths place is the smallest, making it have the lowest density.

Hope this helps :3

1)We need to identify the block that has the highest mass per unit volume. In this case, it is Block A, which has a density of 19.3 Kg/L. So Block A has greater density. Correct Option is 1.

2) Block B: 0.64 Kg/L block has the lowest density. So Correct Option is 2.

1)  Block A with a density of 19.3 Kg/L, it means that for every liter of volume occupied by the block, there is 19.3 kilograms of mass. This indicates that the material in Block A is more dense or more tightly packed compared to the other blocks with lower densities.

2) Block B has the lowest density among the given blocks because it has the smallest value of 0.64 Kg/L. Density is a measure of how much mass is contained within a given volume. A lower density means that there is less mass packed into a given volume, indicating that the material is less dense or less compact

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