two planets in space gravitationally attract each other. if both the masses and distances are doubled, the force between them is group of answer choices twice as much half as much. four times as much. none of these. one-quarter

a) The strength of the magnetic field B is 5 x \(10^-^7 T\).

b) The energy density of the electric field uE and energy density of the magnetic field uB is 1.9875 x \(10^-^1^5 J/m^3\) and 9.9632 x \(10^-^1^5 J/m^3\)respectively.

c) The intensity of the electric field IE and the intensity of the magnetic field IB is  1.9975 x \(10^3 W/m^2\)and  9.9632 x\(10^-^3 W/m^2\) respectively.

d) The total energy density utotal and the total power P emitted by a spherical wave of this beam is 1.9975 x \(10^-^6 J/m^3\) and 0.00199 W respectively.

a) To find the strength of the magnetic field B, we can use the relationship between the electric field E and the magnetic field B in an electromagnetic wave:

B = E / c

Where:

B is the magnetic field strength,

E is the electric field strength, and

c is the speed of light in a vacuum (approximately 3 x 10^8 m/s).

Substituting the given value of E = 150 N/C into the equation, we can calculate B:

B = 150 N/C / (3 x \(10^8 m/s\)) = 5 x\(10^-^7 T\)

b) The energy density of the electric field uE is given by:

uE = (\(ε_0/2\)) * \(E^2\)

Where:

uE is the energy density of the electric field, and

\(ε_0\) is the vacuum permittivity (approximately 8.85 x \(10^-^1^2 C^2/Nm^2)\).

Substituting the given value of E = 150 N/C into the equation, we can calculate uE:

uE = (8.85 x\(10^-^1^2 C^2/Nm^2 / 2\)) * (\(150 N/C)^2\)= 1.9875 x\(10^-^6 J/m^3\)

Similarly, the energy density of the magnetic field uB can be calculated using the formula:

uB = (\(B^2 / μ_0\)) / 2

Where:

uB is the energy density of the magnetic field,

B is the magnetic field strength, and

μ0 is the vacuum permeability (approximately 4π x \(10^-^7 Tm/A\)).

Substituting the calculated value of B = 5 x 10^-7 T into the equation, we can calculate uB:

uB = (\(5 x 10^-^7 T)\)^2 / (4π x\(10^-^7 Tm/A\)) / 2 = 9.9632 x\(10^-^1^5 J/m^3\)

c) The intensity of the electric field IE is given by:

IE = \(0.5 * ε_0 * c * E^2\)

Substituting the given value of E = 150 N/C into the equation, we can calculate IE:

IE = 0.5 *\(8.85 x 10^-^1^2 C^2/Nm^2\)* (3 x \(10^8 m/s\)) * (\(150 N/C)^2\) = 1.9975 x \(10^3 W/m^2\)

Similarly, the intensity of the magnetic field IB can be calculated using the formula:

IB = 0.5 * \(B^2 / μ_0\)

Substituting the calculated value of B = 5 x \(10^-^7\)T into the equation, we can calculate IB:

IB = 0.5 * (5 x\(10^-^7 T)^2\) / (4π x \(10^-^7 Tm/A\)) = 9.9632 x\(10^-^3 W/m^2\)

d) The total energy density utotal is the sum of the energy densities of the electric and magnetic fields:

utotal = uE + uB = 1.9875 x\(10^-^6 J/m^3\) + 9.9632 x \(10^-^1^5 J/m^3\)= 1.9975 x\(10^-^6 J/m^3\)

The total power P emitted by a spherical wave with radius r can be calculated using the formula:

P = \(4πr^2\)* utotal

Substituting the given radius r = 0.05 m and the calculated value of utotal into the equation, we can calculate P:

P = 4π *\((0.05 m)^2\) * 1.9975 x \(10^-^6 J/m^3\) =\(10^-^8\)W

Therefore, the total energy density is 1.9975 x\(10^-^6\) J/m^3, and the total power emitted by the spherical wave is 1.995 x \(10^-^8\) W.

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Based on astronomical records, the reasons why there is main sequence are:

A star can be defined as a giant astronomical or celestial object that comprises a luminous sphere of plasma and it is bounded together by its own gravitational force.

Generally, a star is typically made up of two (2) main hot gases and these include the following:

A main sequence refers to a type of star that fuses hydrogen in its core and it has a stable balance of outward pressure as a result of core nuclear fusion and gravitational forces that are pushing inward.

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Correct option is:- C) Work is a measure of how much energy a force transfers.

Answer:

Inclined Plane is the answer

Answer:

Inclined plane

Explanation:

It is called Inclined plane since it is a flat surface at an angle.

Answer:

I = 30 A.

Explanation:

Given that,

The voltage of the battery, V = 230 V

Power used to charge the battery, P = 6.9 kW

We need to find the current used to charge the battery. The formula for the power is given by :

P = VI

Where

I is current

So,

\(I=\dfrac{P}{V}\\\\I=\dfrac{6.9\times 10^3}{230}\\\\=30\ A\)

So, the required current is 30 A.

The reaction exhibited an exothermic reaction.

Considering the energy values: The energy of the resulting products is lower compared to that of the initial reactants, indicating the liberation of energy throughout the reaction. This exemplifies the characteristic behavior of an exothermic reaction.

Analyzing the shape of the graph: If we were to plot the energy of the reaction as a function of time, the graph would display a downward trajectory, signifying a decrease in the system's energy. This aligns with the typical features associated with an exothermic reaction.

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Complete question:

In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.

D. Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.

Answer:

In this lab, we used a virtual spectrometer to analyze the elements present in unknown astronomical objects. We observed that Moon One had hydrogen, helium, and carbon present, while Moon Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present. Planet One had hydrogen, helium, lithium, sodium, and carbon present, while Planet Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present.

It is essential to use many types of equipment when studying space because the electromagnetic spectrum is made up of many different wavelengths and frequencies, and each one provides different information. If carbon was the most common element found in the moons and planets, oxygen would be missing, which is necessary for the carbon cycle to occur. The electromagnetic spectrum helps us find out the make-up of stars by allowing us to detect the different wavelengths and frequencies of light they emit, which can tell us the elements they are composed of.

It is useful to determine the elements that a planet or moon is made up of because it can provide insight into the planet's atmosphere, climate, and potential for life. Knowing the elements present can also help us understand the history of the planet or moon, such as how it was formed and how it has evolved over time.

The initial speed of the ball in Chris Eddy's shot was 12.3 m/s.

To calculate this, we need to use the equation v²=u²+2as, where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (9.81 m/s2) and s is the distance travelled (27.5 m). Plugging in these values, we get 12.3 m/s as the initial velocity.

To find the angle of the ball, we need to use the equation tan (θ)=s/u, where θ is the angle, s is the distance travelled (27.5 m) and u is the initial velocity (12.3 m/s). After solving for θ, we get 50°.

Therefore, the initial speed of the ball was 12.3 m/s when Chris Eddy threw it at an angle of 50° above the horizontal to score and win the game.

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Second class lever has mechanical advantage always more than one as load is in between fulcrum and effort making the effort arm longer than the load arm. It multiplies force. ... It does not multiply force but changes the direction of force.

Answer:

the mother

Explanation:

the child is smaller and has less mass so it would be easier to push the baby rather than the mother. so you would put more force into pushing the mother

Answer:

gravity and air resistance

Explanation:

life

Gravity and air resistance are the forces that will act on the football when it travels upward and rightward through the air.

The forces that oppose an object's relative motion as it moves through the atmosphere are known as air resistance. By working against the incoming flow's speed, these drag forces make the object travel more slowly. In contrast to other resistance forces, drag has a direct relationship with velocity because it is the portion of the net aerodynamic force that operates in the opposite direction from the direction of the movement.

When the ball will move upward with some velocity the gravity force will act on it, and it will try to come down due to that and another force that is air resistance will also act on the football to the air present in the atmosphere, and it will slow down the speed of football with time and the football make a projectile curve.

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Answer:

(B) the increase in the car's potential energy is 3,660,000 J

Explanation:

Given;

mass of the car, m = 1,000 kg

height through the car was drove, h = 366 m

acceleration due to gravity, g = 10 m/s²

The increase in the car's potential energy is calculated as;

P.E = mgh

P.E = 1000 x 10 x 366

P.E = 3,660,000 J

Therefore, the increase in the car's potential energy is 3,660,000 J

In spite of gravity and regardless of the amount of substance present, a gas is a sample of matter that adopts the shape of the container in which it is housed and develops a uniform density inside the container.

substance or stuff that has no definite shape (unlike a solid), no fixed volume, and will expand freely to fill the entirety of a container.

some of the another object of gases are

Earth would be a completely different planet without its atmosphere. Plants can photosynthesize and both animals and plants can breathe thanks to gases in the environment. The water cycle depends on the atmospheric gas known as water vapor.

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The expansion of the universe is a global phenomenon that occurs on very large scales, and the objects within our solar system or the Milky Way galaxy are not affected by this expansion in the same way.

Hubble's law describes the observed phenomenon of the expansion of the universe, which is the overall increase in the distance between galaxies over time. The law is based on the observation that light from distant galaxies is shifted towards the red end of the spectrum, indicating that the galaxies are moving away from us. However, the space within our solar system or the Milky Way galaxy is not expanding according to Hubble's law. This is because the expansion of the universe is not due to the movement of galaxies within a local region, but rather to the overall expansion of space itself. Within our solar system and the Milky Way galaxy, the gravitational forces between objects are much stronger than the expansion of the universe, so they are not being carried along with the overall expansion. While galaxies outside of our local group are moving away from us due to the expansion of space, the objects within our solar system and the Milky Way galaxy are not affected in the same way.

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Answer:

1530 m/s

Explanation:

Given that :

Speed = distance / time

Travel time take = 0.2 s

Distance covered = 306 metres

The speed of sound in the material :

Speed = distance / time = 306 m / 0.2

Speed = 1530 m/s

Answer:

right ones are. It can show changes that occur in many different parts of the Earth at the same time, and It can be used to show how the parts of the cycle relate to one another.

Explanation:

I just did it on Apex, hope this helps!!

The two main benefits which the scientists have using a diagram to model the water cycle are it can show changes that occur in many different parts of the Earth at the same time and it can also be used to show how the parts of the cycle relate to one another. Thus, the correct options are A and B.

The water cycle is a type of biogeochemical cycle which shows the continuous movement of the water molecule in different states within the Earth and the atmosphere.

Water cycle is a complex system which includes many different processes. This includes the liquid water which evaporates into the form of water vapor in the atmosphere, the vapor undergoes condensation to form clouds, and these clouds precipitate back to the earth in the form of rain and snow.

The benefits of using a diagram to model the water cycle includes showing all the changes that occur in many different parts of the Earth at the same time and it can also be used to show how the parts of the cycle relate to one another.

Therefore, the correct options are A and B.

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Answer: 5.42 kg

Explanation:

The formula for kinetic energy is:

KE = 1/2 * m * v^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

We are given the kinetic energy (KE) and velocity (v), so we can rearrange the formula to solve for the mass (m):

m = 2 * KE / v^2

Substituting the given values, we get:

m = 2 * 390 J / (12 m/s)^2

m = 2 * 390 J / 144 m^2/s^2

m = 5.42 kg (rounded to two decimal places)

Therefore, the mass of the stone is approximately 5.42 kg.

The time taken for the rock to hit the ground from the roof top is 1.1 seconds. Given the data in the question; Since the rock was initially at rest. Initial velocity.

What is the starting velocity formula?

Beginning velocity is equal to u, final velocity is equal to v, time is equal to t, displacement is equal to s, and acceleration is equal to a. If any of the parameters are known, the starting velocity formula is used to determine the body's initial velocity. The unit of initial velocity is meters per second (m/s).

What is the starting velocity for motion?

As a result, the velocity profile is the object's speed before the change brought on by acceleration. Its velocity is going to be the final speed after the object has been accelerating for a while. Hence, the beginning velocity refers to the speed at which motion begins. Its velocity at various time t = 0 is obviously zero.

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"A Short History of Nearly Everything" is a popular science book written by Bill Bryson, which provides an overview of the key events and scientific discoveries that have shaped our understanding of the world. The main idea of the book is to explore the history of science and provide a comprehensive and accessible overview of the most important ideas, theories, and discoveries that have changed our understanding of the universe.

The book covers a wide range of topics, including the history of the Earth and the universe, the evolution of life, the development of human civilization, and the latest discoveries in physics, chemistry, and biology. Bryson's writing style is engaging and humorous, making the material accessible to a broad audience.

One of the key ideas of the book is that scientific knowledge is constantly evolving and that our understanding of the world is always changing as new discoveries are made. Bryson emphasizes the role of individual scientists and their impact on the advancement of knowledge, highlighting the human story behind the scientific breakthroughs that have shaped our world.

In conclusion, the main idea of "A Short History of Nearly Everything" is to provide a comprehensive and accessible overview of the key events and scientific discoveries that have shaped our understanding of the world. The book covers a wide range of topics and explores the history of science, emphasizing the human story behind the scientific breakthroughs that have changed our understanding of the universe.

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The resultant of the two displacements 2m at 30⁰ and 4m

at 120⁰ is 93.4 degree.

Displacement is the process of removing something from its usual location or position and substituting another object in that space.

Given: The sum of the displacements at 30 degrees and 120 degrees, respectively, is 2 meters.

Currently, there are two displacements, which

R1 = 2 cos 30 – 4 cos 60

    = 2 x √3 / 2 – 4 x  1 / 2

    =  √3 - 2

    =  1.732 - 2

   = - 0.268 m

R2 = 2 sin 30 + 4 sin 60

   = 2 x 1/2 + 4 x √3 / 2

   = 1 + 2 √3

  = 1 + 2 (1.732)

  =  1 + 3.464

   = 4.464 m

Now R = √R 1^2 + R2^2

           = √(-0.268)^2 + (4.464)^2

            = √0.0718 + 19.927

             = √19.999

             = 4.472 m

Now tan Q = R 2 / R1

                   = 4.464 / - 0.268

                     = - 16.656

          Or Q = - 86.6 degree

Now the outcome will be 180 – 86.6 = 93.4 degree

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Answer:

True

Explanation:

I did this on a test and got it right, I swear

Rocko Inc. should consider replacing the old machine with the new one.

Even though the cost of the new machine is higher than the book value of the old one, the company can receive $38,000 for trading it in, reducing the cost of the new machine. Additionally, the new machine will reduce variable manufacturing costs by $14,000 per year over its five-year life, resulting in a total cost savings of $70,000. This means that the net cost of the new machine is $77,000 ($85,000 - $38,000 - $70,000). Since this cost is lower than the book value of the old machine and the cost savings from the new machine are significant, Rocko Inc. should replace the old machine with the new one.

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The person's velocity is approximately 0.103 m/s after throwing the football horizontally at 6.7 m/s on a slippery icy surface.

Let's denote the velocity of the person before and after the throw as Vp and Vp' respectively, and the velocity of the football as Vf.

Before the throw, the momentum of the system is:

P = (m_p + m_f) * Vp

After the throw, the momentum is:

P' = m_p * Vp' + m_f * Vf

Since momentum is conserved, we have:

P = P'

(m_p + m_f) * Vp = m_p * Vp' + m_f * Vf

Rearranging this equation, we can solve for Vp':

Vp' = Vp + (m_f / m_p) * (Vf - Vp)

Plugging in the values, we get:

Vp' = 0 + (1 kg / 65 kg) * (6.7 m/s - 0 m/s)

Vp' = 0.103 m/s

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Summertime brings direct sunlight to the northern hemisphere Encyclopedic Entry Vocabulary. The hemispheres, which are formed when a circle is traced around the Earth, are equally sized.

Sunlight, specifically infrared, visible, & ultraviolet light, is a type of electromagnetic radiation emitted by the Sun. At Earth, sunlight is reflected and filtered by the atmosphere, so when the Sun exceeds the horizon, it is seen as daytime.

Solar energy, which it radiates as light and heat, enables life could exist on Earth. Light is essential for plant growth. Plants provide food and oxygen that are essential to all animals, including humans. Earth would freeze if the sun didn't provide heat.

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Answer:

In the given graph,

Velocity is constant between 4 to 8 which is 2m/s

So, at t=5s

Instantaneous velocity=2m/s

Explanation:

hope this help u thank u

Answer:

Bananas are curved because they grow towards the sun

Explanation:

Bananas are curved so they can retrieve sunlight. Bananas go through a process called 'negative geotropism'. What it means is that bananas grow away from the ground, instead of growing towards it, hence the 'negative' geotropism.

Answer:

Because they grow towards the sun and the sun is what makes things grow like water to  Beneath each flower petal, a row of tiny banana fruits start to grow. Once they're much bigger in size, the fruit goes through a process called negative geotropism. Which basically means instead of continuously grow towards the ground, they start to turn towards the sun, in order to retrieve light.

Explanation:

A.brass is heavier than water.

Answer:

fridge microwave washer dryer tv fan dishwasher fish tank lights toaster coffee pot