Which type of plate boundary would be most likely to lead to above-ground volcanic activity? Convergent Divergent Collisional Transform

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:

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:

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.

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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Answer;

C) A solenoid is created by winding current carrying wire into a coil.

Explanation;

-A solenoid is a coil of insulated or enameled wire wound on a rod-shaped form made of solid iron, solid steel, or powdered iron.

-Solenoids have a wide range of applications, for instance they are used as electromagnets, as inductors in electronic circuits, and as miniature wireless receiving antennas.

An automobile starter rated at 2.25 hp (which converts to 1683.5 Watts) would draw approximately 168.35 Amps from a 10.0 Volt battery.

The question is asking how many amps an automobile starter rated at 2.25 horsepower would draw from a 10.0 Volt battery. We can start by converting the horsepower to watts - as 1 horsepower is approximately 746 watts (2.25 hp = 1683.5 W).

Using the power formula in physics, P = IV where P is the power (in watts), I is the current (in amperes) and V is the voltage (in volts), we can calculate the current, I = P/V. That gives I = 1683.5 W / 10.0 V = 168.35 Amps. Hence, The starter would draw approximately 168.35 Amps from the battery.

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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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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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Explanation:

Doppler effect: It is the phenomenon in which there is relative motion between the source and the observer or the source and the listener. There is an apparent change in the frequency.

When the observer and the source are moving towards each other then the frequency increases.

When the observer and the source are moving away from each other then the frequency decreases.

The expression of the speed of the wave in terms of the frequency is as follows;

[tex] v=f\lambda[/tex]

Here, v is the speed of the wave, f is the frequency of the wave and [tex]\lambda[/tex] is the wavelength of the wave.

From the above relation, it can be concluded that speed of the sound is directly proportional to the frequency of the wave.

The magnitude of the Doppler shift increases when the velocity of the sound source is increased.

There are different kinds of effects. The effect of the increasing the velocity of the sound source on the magnitude of the Doppler shift is that the faster the source is, the greater the shift.

This is known as the process whereby  a relative motion is known to exist  between the source and the observer or between the source and the listener.

The Doppler effect is seen  if the speed of the source is said to be approaching slower than the speed of the waves.

When the source is said to moves at the same speed as or even faster than the wave itself can move, a different kind of situation is seen.

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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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Answer:

Diodes, which are often utilized as rectifiers, have two electrodes.- is correct

Explanation:

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Answer:

c

Explanation:

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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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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