what planet are people working on so they can move there

i. The gravitational force between the earth and sun can be obtained as follow:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 5.987×10²⁴ × 1.989×10³⁰) / (1.5×10¹¹)²

F = 3.53×10²² N

Thus, the gravitational force between the earth and sun is 3.53×10²² N

ii. The gravitational force between the earth and moon can be obtained as follow:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 5.987×10²⁴ × 7.347×10²²) / (3.844×10⁸)²

F = 1.99×10²⁰ N

Thus, the gravitational force between the earth and moon is 1.99×10²⁰ N

Comparison = G₁ / G₂

G₁ / G₂ = 3.53×10²² / 1.99×10²⁰

G₁ / G₂ = 177

Cross multiply

G₁ = G₂ × 177

Thus, we can say that the gravitational force between the earth and sun is 177 times bigger than the gravitational force between the earth and moon

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Answer:

the answers, the correct one is C,   v₀ₓ = vₓ = 3.91 m / s

Explanation:

This is a projectile launching exercise, in this case they indicate that when leaving the cliff it goes horizontally, therefore the initial vertical speed is zero, let's find the time to reach the base

        y = y₀ + \(v_{oy}\) t - ½ g t²

at the base the height is zero (y = 0 m)

        0 = y₀ + 0 - ½ g t²

         t = √ (2y₀ / g)

we calculate

        t = √ (2 200 / 9.8)

        t = 6.389 s

with this time we calculate the horizontal speed

        v₀ₓ = x / t

        v₀ₓx = 25 / 6,389

        v₀ₓ = vₓ = 3.91 m / s

When checking the answers, the correct one is C

Answer:

1. m  = 40 kg

2. m = 0.55 kg

3. Because of the different values of acceleration due to gravity, g, on the planet and the earth.

Explanation:

1. GPE = 12000 J

h = 30 meters

g = 10 m/\(s^{2}\)

But,

GPE = mgh

where: m is the mass, g is the acceleration due to gravity, and h is the height.

12000 = m x 10 x 30

12000  = 300 m

m = \(\frac{12000}{300}\)

   = 40 kg

The mass of the diver is 40 kg.

2. GPE = 63.25 J

h = 11.5 meters

g = 10 m/\(s^{2}\)

GPE = mgh

63.25 = m x 10 x 11.5

63.25 = 115 m

m = \(\frac{63.25}{115}\)

   = 0.55 kg

The mass of the ball is 0.55 kg.

3. The pole vaulter's GPE on the earth would not be the same as that on another planet due to the variation in the value of the acceleration due to gravity on the two planets, even if he cover the same height.

Given that: m = 60 kg, h = 25 m, determine the GPE on the earth that has g = 10 m/\(s^{2}\), and another planet with g = 6.5 m/

Thus, on the earth;

GPE = mgh

       = 60 x 10 x 25

       = 15000

GPE = 15000 J

On the planet;

GPE = mgh

       = 60 x 6.5 x 25

       = 9750

GPE = 9750 J

Answer:

F = M a    where F is in lbs, M in slugs and a in ft/s^2

Apparently this system is motionless so

T + 15 is the downward force on the mass of 15 lbs

1 slug * 32 ft/s^2 is 32 lbs the weight of the other block

It takes a force of 32 / 2 = 16 lbs on the cable to support this weight

16 lbs = T + 15 lbs

T = 1 lbs

Explanation:

Wave motion

ex...longitudinal wave.

A parallel plate capacitor with circular plates of radius and plate separation is being charged at the rate of Displacement current. Correct answer: letter A.

This is because the plates are parallel and current can flow freely between them. The current flow is perpendicular to the plates, so the charge on the plates is proportional to the area of the plates.

The magnitude of the magnetic field between the capacitor plates at a radius from the axis of the capacitor is zero.

That is, it is determined by the amount of charge on the plates and the distance between the plates. Therefore, the closer the plates are to each other, the greater the magnetic field.

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Answer:

The work done lifting the bucket to the top of the building is 341.25 lbf-ft.

Explanation:

Given that bucket is part of a variable-mass system due to sand losses and such work, measured in \(lbf \cdot ft\) is associated to gravitational potential energy by Work-Energy Theorem, the work done by lifting the bucket is represented by the following integral:

\(W = \frac{1}{g_{c}} \int\limits^{y_{max}}_{y_{min}} {m(y) \cdot g} \, dy\)

Where:

\(m(y)\) - Mass of the bucket as a function of height, measured in pounds.

\(g\) - Gravitational constant, measured in feet per square second. (\(g = 32.174\,\frac{ft}{s^2}\))

\(g_{c}\) - lb-f to lb-m conversion factor, measured in lb-m to lb-f. (\(g_{c} = 32.174\,\frac{lbm}{lbf}\))

Since leaking is constant, the mass of the bucket can be modelled by using a first-order polynomial (linear function), that is:

\(m(y) = m_{o}+\dot m \cdot y\)

Where:

\(m_{o}\) - Initial mass of the bucket, measured in pounds.

\(\dot m\) - Leaking rate, measured in pounds per feet.

\(y\) - Height of the bucket with respect to bottom, measured in feet.

After replacing the mass and simplifying the integral, the following expression for work is found:

\(W = \frac{m_{o}\cdot g}{g_{c}}\int\limits^{y_{max}}_{y_{min}}\, dy + \frac{\dot m \cdot g}{g_{c}}\int\limits^{y_{max}}_{y_{min}} {y} \, dy\)

\(W = \frac{m_{o}\cdot g}{g_{c}}\cdot (y_{max}-y_{min}) +\frac{\dot m \cdot g}{2\cdot g_{c}}\cdot (y_{max}-y_{min})^{2}\)

If \(m_{o} = 15\,pd\), \(g = 32.174\,\frac{ft}{s^{2}}\), \(g_{c} = 32.174\,\frac{lbm}{lbf}\), \(\dot m = -0.3\,\frac{pd}{ft}\) and \(y_{max} - y_{min} = 35\,ft\), the work done lifting the bucket to the top of the building is:

\(W = \frac{(15\,pd)\cdot \left(32.174\,\frac{ft}{s^{2}} \right)}{32.174\,\frac{lbm}{lbf} }\cdot (35\,ft) + \frac{\left(-0.3\,\frac{pd}{ft} \right)\cdot \left(32.174\,\frac{ft}{s^{2}} \right)}{2\cdot \left(32.174\,\frac{lbm}{lbf} \right)}\cdot (35\,ft)^{2}\)

\(W = 341.25\,lbf\cdot ft\)

The work done lifting the bucket to the top of the building is 341.25 lbf-ft.

Answer:

I'm not sure it is c I'm sure it is d

Answer:

Photosynthesis occurs in the organelle, chloroplast .

Cellular respiration occurs in a plants or animals mitochondria.

Explanation:

Hope this helps! :)

Answer:

correct statement should be the same speed.

Explanation:

if the car is moving east reads 60 mph and it passes another car with the same speed.

therefore, the magnitudes of their velocities are equal.

and each car's velocity is the negative of the other car vehicle.

so the correct statement should be the same speed.

Answer:

They have different velocities

Explanation:

The cars are passing each other at the same speed, and because velocity is speed with direction they are at different velocities.

Answer:

The most likely form of precipitation that may occur when the clouds are very grey and the temperature outside is -3°C is snow.

Explanation:

A fission reaction requires three main components to be sustainable: a sufficient amount of fissile material, a moderator to control the reaction, and a method of removing heat generated during the reaction.

1. Fissile material: To sustain a fission reaction, there needs to be a sufficient amount of fissile material, such as uranium-235 or plutonium-239. These materials have nuclei that are more likely to split when struck by a neutron, releasing energy and more neutrons in the process.

The critical mass is the minimum amount of fissile material required to maintain a self-sustained chain reaction.

2. Moderator: A moderator is a substance that slows down the neutrons released during fission. This is crucial for sustaining the reaction, as slower neutrons are more likely to be captured by fissile material and induce further fission events. Common moderators include water, heavy water, and graphite.

3. Heat removal: During a fission reaction, a large amount of heat is generated due to the release of energy. In order to maintain a sustainable reaction, it's necessary to remove this heat, typically by transferring it to a coolant, such as water or gas.

The coolant circulates through the reactor core, absorbing heat, and then transfers the heat to a heat exchanger or directly to a steam generator for power production.

In summary, a sustainable fission reaction requires a sufficient amount of fissile material to maintain a chain reaction, a moderator to control the reaction by slowing down neutrons, and an effective method of removing heat generated during the reaction.

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The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %

The total error percentage in measuring the volume of the cylinder is calculated as follows;

Volume of cylinder = πr²h

Volume of cylinder = π(0.03r)²(0.07h)

Volume of cylinder = (6.3 x 10⁻⁵)πr²h

Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %

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Answer:

The wave takes 3.2 s at 0.75 m s⁻¹ to travel across a slinky. The length of slinky is 2.4 m.

What is a wave?

A wave is defined as a disturbance that travels from one spot to another through a medium. As an example of a wave, consider a slinky wave. When stretched from end to end and maintained at rest, the slinky assumes a natural state known as the equilibrium or rest position. The slinky's coils automatically assume this posture, equally spaced apart. The initial particle is pushed or shifted from its equilibrium or rest state to introduce a wave into the slinky.

Explanation:

As we know, \(speed=\frac{distance}{time}\)

Therefore, \(distance = speed\) × \(time\)

=> d = 0.75 x 3.2

       = 2.4 m

Hence, the distance the wave travels or the length of the slinky is 2.4 m.

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Answer:

D

Explanation:

The amount of heat needed to raise the temperature of a 2kg object from 15°C to 25°C is 34000J.

HOW TO CALCULATE SPECIFIC HEAT CAPACITY:

Where;

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The sound pressure level produced within the roof void as a result of the plant room noise is calculated to be 48 dB.

To determine the sound pressure level in the roof void, we utilize the sound reduction index of the plant room wall and the sound pressure level in the plant room. The formula used for this calculation is L2 = L1 - R, where L2 represents the sound pressure level in the roof void, L1 denotes the sound pressure level in the plant room, and R signifies the sound reduction index of the plant room wall adjoining the roof void. Given that the sound pressure level in the plant room is 61 dB and the sound reduction index of the plant room wall is 13 dB, we substitute these values into the formula to find the sound pressure level in the roof void:

L2 = 61 dB - 13 dB

L2 = 48 dB

Hence, the sound pressure level produced within the roof void as a result of the plant room noise is determined to be 48 dB. To further reduce the sound pressure level from the plant room to the adjacent rooms, there are several recommended strategies. One approach is to improve the sound insulation of the common wall between the plant room and the adjacent rooms. This can involve increasing the sound reduction index of the wall by adding sound-absorbing materials or panels, or enhancing the sealing of any gaps or openings to minimize sound leakage.

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Answer:

0.45  [m/s²].

Explanation:

1) formula of the required acceleration is (V-final velocity, V₀-initial velocity, t-elapsed time):

\(a=\frac{V-V_0}{t};\)

2) according to the formula above:

a=(12-3)/20=0.45 [m/s²].

Answer:

Cool temperatures of the moist ground cause evaporation, then increased temperatures of the atmosphere form rain.

Explanation:

The amount of sun’s energy that hits an area helps determine the climate of that area. The Brazilian Rainforest has a tropical climate that averages of up to 300 mm of rain during some months. Which of the following best describes the role of the water cycle in determining the rainforest’s weather?

The given scenario is an example of Newton's 3rd Law which states that for every action, there is an equal and opposite reaction.

In this case, the action is the force applied by the cannonball on the cannon, and the reaction is the force applied by the cannon on the cannonball. As the cannonball shoots out of the cannon, it applies a force in the forward direction, and, as a reaction, the cannon applies an equal force in the backward direction, causing it to move backward. This happens because the forces are acting on two different objects. The cannonball and the cannon are two different objects, and so the forces they exert on each other are equal and opposite. Therefore, we can conclude that the scenario mentioned in the question is an example of Newton's 3rd Law.

Newton's third law is officially expressed as follows: There is an equal and opposite reaction to every action. The implication of the statement is that there are always two forces acting on the two interacting objects. The force acting on the first object is equal in size to the force acting on the second.

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Star b must be 2 light years away. The apparent brightness of a star decreases with the square of the distance. Since star a appears 1/16 as bright as star b, star b must be √16 = 4 times closer, which is 2 light years away.

The apparent brightness of a star is determined by its intrinsic brightness, also known as its absolute magnitude, and its distance from the observer. In this scenario, star a and star b have the same absolute magnitude, indicating that they have the same inherent brightness. However, star a appears 1/16 as bright as star b. Since apparent brightness is inversely proportional to the square of the distance, we can deduce that star b must be 1/4 times the distance of star a to maintain the same apparent brightness. Given that star a is 4 light years away, star b must be 2 light years away. This ensures that the apparent brightness of star b is 1/16 of star a, as observed.

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The dot product is 25, the angle is \(\theta = cos^{-1} \frac{25}{\sqrt{35} \times \sqrt{21}}\), the cross product is 1i + (-6)j + (-7)k, and the area of the parallelogram spanned by vectors A and B is \(\sqrt{86}\).

Given,

A = 5i + 3j + k

B = 4i + j + 2k

i. Dot Product (A · B):

The dot product of two vectors A and B is given by the sum of the products of their corresponding components.

\(A.B = (A_x \times B_x) + (A_y \times B_y) + (A_z \times B_z)\\A.B = (5 \times 4) + (3 \times 1) + (1 \times 2) \\= 20 + 3 + 2 \\= 25\)

ii. Angle between vectors A and B:

The angle between two vectors A and B can be calculated using the dot product and the magnitudes of the vectors.

\(cos\theta = (A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} ((A.B) / (|A| \times |B|))\\A = \sqrt{(5^2 + 3^2 + 1^2)} =\\ \sqrt{35}\\B = \sqrt{(4^2 + 1^2 + 2^2)} \\= \sqrt{21}cos\theta = \frac{(A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} \frac{25}{\sqrt{35} \times \sqrt{21}}}\)

iv. Cross Product (A × B):

The cross product of two vectors A and B is a vector that is perpendicular to both A and B and its magnitude is equal to the area of the parallelogram spanned by A and B.

\(A\times B = (A_y \timesB_z - A_z \timesB_y)i + (A_z \timesB_x - A_x \timesB_z)j + (A_x \times B_y - A_y \times B_x)k\\A\times B = ((3 \times 2) - (1 \times 1))i + ((1 \times 4) - (5 \times 2))j + ((5 \times 1) - (3 \times 4))k\\= 1i + (-6)j + (-7)k\)

Area of the parallelogram spanned by vectors A and B:

The magnitude of the cross product A × B gives us the area of the parallelogram spanned by A and B.

Area = |A × B|

Area of the parallelogram spanned by vectors A and B:

Area = |A × B| =

\(\sqrt{(1^2 + (-6)^2 + (-7)^2}\\\sqrt{1+36+49\\\\\sqrt{86}\)

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The refractive index (n) of a medium can be defined as the ratio of the speed of light (c) in a vacuum to the speed of light (v) in the medium. Mathematically, we can express the refractive index as

n=c/v--- (1)

In part (a) of the question, we were given the speed of light (v) in a medium as a function of the wavelength of the light (λ). We know that the speed of light in a vacuum is a constant and is equal to c=3 × 108 m/s.

Therefore, using equation (1), we can write the expression for the refractive index (n) as

n = c/v = c/(c/λ0) = λ0/c--- (2)

where λ0 represents the wavelength of the light in a vacuum. Therefore, the expression for n in terms of λ0 is given as:

n = λ0/c.

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The eye forms the image on the retina. The correct option is c.

When light enters the eye, it passes through the cornea, the clear outer covering of the eye, and then through the pupil, which is the opening in the center of the iris. The iris is the colored part of the eye that helps to control the amount of light that enters. The lens then focuses the light onto the retina, which is a layer of light-sensitive cells located at the back of the eye.

These cells, called photoreceptors, convert the light into electrical signals that are sent to the brain via the optic nerve. The brain then processes these signals to create the visual image that we perceive. Therefore, the retina is where the actual image is formed in the eye, and the optic nerve carries this information to the brain for interpretation. Therefore, the correct option is c.retina.

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Answer:

B) A body at rest will stay at rest

Explanation:

A body in motion will stay in motion unless acted on by another force.

The phenomenon that keeps localized regions of space, such as objects on Earth, planetary systems, star clusters, and whole galaxies, from participating in the general expansion of the universe is mainly due to the forces that counteract this expansion. These forces include gravity, electromagnetic forces, and the strong and weak nuclear forces.

Gravity plays a significant role in holding objects together, such as the Earth and the objects on its surface. In planetary systems, gravity from the central star binds planets in their orbits, maintaining a stable structure. Similarly, gravity within galaxies holds stars, gas, and dust together, forming a coherent structure.

Electromagnetic forces are responsible for holding atoms and molecules together. They also help create larger structures, like planets and stars, by influencing the behavior of charged particles, such as electrons and ions.

The strong and weak nuclear forces are crucial for the stability of atomic nuclei. The strong nuclear force holds protons and neutrons together in the nucleus, while the weak nuclear force (one of the fundamental forces) plays a role in radioactive decay and nuclear reactions.

These forces work together to counteract the general expansion of the universe in localized regions, maintaining stability in the structures of various astronomical bodies and systems. The expansion becomes more relevant on much larger scales, where the effect of these forces diminishes, and dark energy, which drives the expansion, dominates.

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Because of their inability to respond to their force surroundings and their simple repeating process of production, viruses are not Living organisms.

The word "force" has a specific meaning in science.At this level, calling a force a push or even a pull is entirely appropriate.A force isn't something an object "has in it" or that it "contains."One thing experiences a force from another.There are both living things and non-living objects in the concept of a force.

A push or pull that is applied to an item is known as force.It implies that we exert force when we pull or pull a body.

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Answer:

while changing the temperature

Answer:

Eye function renders you the sense of sight. They convert light into electrical signals. Afterwards, the brain deciphers these electrical signals into images. Properly working healthy eyes are able to perform the following functions.

Explanation: