A 80kg astronaut is training in human centrifuge to prepare for a launch. The astronaut uses the centrifuge to practice having a 3.16g force (3.16 times his own weight) on his back. The radius is 12m.
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The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

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The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.

From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.

For case 2, f = mg = kx₂.

Therefore, we'll equate the equations. This will be:

Kx₁ = Kx₂

(K/2)x₁ = (2k)x₂

K(x₁/2) = k(2x₂)

X₁/2 = 2x₂

X1 = 2 × 2x₂

X₁ = 4X₂.

In conclusion, X₁ = 4X₂.

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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

For case 1;

f=mg=kx₁

For case 2;

f=mg=kx₂

After equating the equation we get;

[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]

Hence  X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

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There is no value of c such that the infinite series converges.

Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.

In this question we must prove for which values of c the infinite series may converge.

There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:

[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)

If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:

[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]

[tex]r = 1 + \frac{1}{k}[/tex]

We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]

If [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?

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There is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.

[tex]a_1+a_2+a_3....+a_n[/tex]

Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,

[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]

If c is a positive real number and

[tex]a_k=k\ln c[/tex]

Put the value in above shown ratio,

[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]

With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.

Thus,  there is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

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Force is a vector, as such we know that the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.

The term force is used to describe that which causes a change in the position of an object. Now the question is incomplete but I will try to help you the much I can.

Recall that force is a vector quantity. Hence the magnitude of the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.

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Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

Answer:

History of the 9 Planets in our solar system The ancient Greeks came across seven lights in the sky that moved against the background pattern of stars: the sun, the moon, Mercury, Venus , Mars, Jupiter, and Saturn. then they decided to name them Planetes, or Wanderers.

Explanation:

A planet is a celestial body. The nickname for the earth is "blue planet".

A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.

The nicknames for the planets in our solar system are:

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Answer:

no

Explanation:

because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.

Answer:

The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.

Explanation:

59.18 kg

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Answer:

The energy of these two photons would be the same as long as their frequencies are the same (same color, assuming that the two bulbs emit at only one wavelength.)

Explanation:

The energy [tex]E[/tex] of a photon is proportional to its frequency [tex]f[/tex]. The constant of proportionality is Planck's Constant, [tex]h[/tex]. This proportionality is known as the Planck-Einstein Relation.

[tex]E = h\, f[/tex].

The color of a beam of visible light depends on the frequency of the light. Assume that the two bulbs in this question each emits light of only one frequency (rather than a mix of light of different frequencies and colors.) Let [tex]f_{1}[/tex] and [tex]f_{2}[/tex] denote the frequency of the light from each bulb.

If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: [tex]f_{1} = f_{2}[/tex].

Thus, by the Planck-Einstein Relation, the energy of a photon from each bulb would also be the same:

[tex]h\, f_{1} = h\, f_{2}[/tex].

Note that among these two bulbs, the brighter one appears brighter soley because it emits more photons per unit area in unit time. While the energy of each photon stays the same, the bulb releases more energy by emitting more of these photons.

Answer: "Migrating", You're welcome

Answer:

Carbon Dioxide absorbs and re-emits the infrared radiation.

Answer:

open

Explanation:

in open system mechanical energy is lost to its surroundings

Aceleration refers to motion but gravity refers to force

Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth

Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

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

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of the ball

Gravitation is a natural law by which all things with all matter are attracted towards one another.

g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.

The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².

Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.

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Answer:

The two factors that affect the type of Shadows formed are stated below ::

Answer:

The distance of the source of light from the object.

The angle at which the light rays fall on the object.

The size of the opaque object.

The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.

If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.

Explanation:

picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️

It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.

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If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

Ohms law states that the volatge in a circuit is directly proportional to the current flowing in the circuit.

V = IR

Where;

The given voltage in the circuits

At equal resistance, the current flowing in circuit B will be greater than circuit A since circuit B has more voltage.

However, If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

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Answer:

B

Explanation:

a=v/t

a=(40m/s)÷(80s)

a=0.5m/s

Answer:

I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.

Explanation:

Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.

The tension does no (zero) work

F· S = W

Since the tension is perpendicular to the direction of motion, and there is no change in S the work done is zero.

A trait shared by dolphins and bats  will be the need to move quickly through dark environments.

Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation

According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats

The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.

A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.

Hence option A is correct.

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Answer:

D

Explanation:

Answer:

1.water evaporates from the sea

2.water rises in warm air

3.water vapor is cooled and form clouds

4.clouds move and water falls on land as rain

5water travels along a rive to the sea

Explanation:

and that is how the water cycle works

Answer:

displacement, acceleration, potential energy

Explanation:

pretty sure this is correct but dont hold me to it.

The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.

Simple harmonic motion is periodic motion caused by a restoring force that is proportionate to the deviation from equilibrium.

Simple harmonic motion is periodic motion but many other conditions are dependent.

The object is in simple harmonic motion of the following quantities related to the object.

The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.

Hence the set of three quantities is the options i, iii,v.

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Answer:

15.61 m/s^2

Explanation:

From 3 rd equation of motion

s=ut+1/2at^2

given s = 30

u= 0 ( as body was at rest)

t= 1.96s

30=0*1.96+1/2a(1.96)^2

30=0+1/2a(1.96)^2

a=2*30÷(1.96)^2

a= 15.61 m/s^2 (approx)

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is determined by applying principle of conservation of energy as shown below;

E = K + U

E = K - GmM/R

0 = K - GmM/R

K = mgR

When the minimum escape energy is 15 times average kinetic energy;

15K = mgR

[tex]15 \times \frac{3}{2} kT = mgR[/tex]

where;

[tex]T = \frac{2mgR}{15 \times 3k} \\\\T = \frac{(2)(5.316 \times 10^{-26})(9.8)(6.371 \times 10^6)}{45(1.38066 \times 10^{-23})} \\\\T = 10,684.4 \ K[/tex]

Thus, the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

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Answer:

A planet revolves around the Sun and a moon orbits a planet. Technically, the moon also orbits the Sun as it spins around its planet, but because it has its own sub-orbit of a planet scientists define it as a moon. All planets in our solar system, except for Mercury and Venus, have moons. Earth has one moon, Mars has two, Neptune has thirteen, Uranus has twenty-seven, Jupiter has sixty-six, and Saturn has sixty-two. Pluto, now classified as a dwarf planet, has five moons.

The answer is fossil fuel

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The answer is fossil fuel

In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.

A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.

In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.

In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.

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The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.

The angular velocity of the tire is the rate of change of angular displacement of the tire with time.

The magnitude of the angular velocity of the tire is calculated as follows;

ω = 2πN

where;

ω = 2π x (5.25 / 3)

ω =  11 rad/s

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.

The magnitude of the tangential velocity is caculated as follows;

v = ωr

where;

v = 11r m/s

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