the ratio of the mass of the earth to the mass of the moon is 81:1. an object is placed between the earth and the moon along the straight line that joins their centers. about how far away from the center of the earth should the object be placed so that the net force on the object from the earth and the moon is zero?

Answers

Answer 1

To find the distance from the center of the Earth where the net force on the object from the Earth and the Moon is zero, we can use the concept of gravitational forces. The distance from the center of the Earth where the net force on the object from the Earth and the Moon is zero is approximately (1/9) times the distance from the center of the Moon.

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F = G × (m₁ × m₂) / r²

Where:

F is the gravitational force between the two objects

G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N m²/kg²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

In this case, we can set up the equation for the gravitational forces from the Earth and the Moon acting on the object:

\(F_{earth}\) = G * (\(m_{object}\) * m_earth) /\(r_{earth}\) ²

\(F_{moon}\) = G * (\(m_{objects}\) * \(m_{moon}\)) / r_moon²

Since we want the net force to be zero, the magnitudes of these forces should be equal:

F_earth = F_moon

G × (\(m_{object}\)  × \(m_{object}\) ) /\(r_{earth}\) ² = G × (m\(m_{object}\) × m_moon) / \(r_{moon}\)²

We are given that the ratio of the mass of the Earth to the mass of the Moon is 81:1, so we can substitute that in:

G × (\(m_{object}\)  × m_earth) /\(r_{earth}\) ²= G × (\(m_{object}\) × (1/81) × m_earth) / \(r_{moon}\)²

Cancelling out the gravitational constant and the mass of the object:

\(r_{earth}\) ² = (1/81) × \(r_{moon}\)²

Taking the square root of both sides:

\(r_{earth}\)  = (1/9) ×\(r_{moon}\)

Since the object is placed between the Earth and the Moon, the distance from the center of the Earth to the object is given by:

r\(_{earth object}\)  =\(r_{earth}\) - \(r_{object}\)

Substituting the relationship we found for \(r_{earth}\):

r\(_{earth object}\) = (1/9) × \(r_{moon}\) - \(r_{object}\)

Therefore, the distance from the center of the Earth where the net force on the object from the Earth and the Moon is zero is approximately (1/9) times the distance from the center of the Moon.

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Related Questions

A pencil has a density of 0.875 g/ml. It has a volume of 4.0 ml. Find the mass

Answers

Answer:

To find the mass using density and volume we just multiply them against each other which causes ml to cancel and just leaves us with grams which represents how much the item weights.

\(mass=density*volume\)

\(mass=0.875\frac{g}{ml}*4.0\ ml\)

\(mass=3.5\ g\)

Therefore, our final answer is that our pencil weight 3.5 grams

Hope this helps!  Let me know if you have any questions

Which two quantities can be used to describe motion?

Answers

Answer:

A

Explanation:

A P E X

Displacement and velocity are the two quantities that can be used to describe motion. Hence, option (A) is correct.

What are displacement and velocity?

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

The rate at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction.

Since it is a vector quantity, the definition of velocity requires both magnitude and direction.  A body is considered to be accelerating if its velocity changes, either in magnitude or direction.

Hence, motion of any object can be  fully explained by displacement and velocity.

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¿Que le ocurre a un folículo después de liberar a un ovulo?

Que le ocurre a un folculo despus de liberar a un ovulo?

Answers

nesecitabas ayuda hace 1 hora, todavia la nesecitas?

I am pushing on a box with 15 N of force, and my younger cousin is pushing the box (in the same direction as me) with 10 N of force. How much is the net force on the box?


Help

Answers

25N
:)
Hope this helps

Select the correct answer.
Which of the following social events are often centered around sporting events?
A. Tailgate Parties
B. Parades
C. Pep Rallies
D. All of the above

Answers

D all of them is the answer. All three can be used to celebrate sporting events

A motorcyclists starts from rest and reaches a speed of 6m/s after traveling with uniform acceleration for 3s .What is his acceleration

Answers

2m/s is the answer ! hopefully this helps

a 67.97 kg student is standing atop a spring in an elevator that is accelerating upward at 3.66 m/s2. the spring constant is 2658 n/m. by how much is the spring compressed?

Answers

The spring is compressed by 0.70 m.

The 67.97 kg student standing atop a spring in an elevator that is accelerating upward at 3.66 m/s2 has a spring constant of 2658 n/m. The amount the spring is compressed can be calculated using the formula:

F = kx,

where F is the force, k is the spring constant, and x is the amount of compression.

Therefore, we can calculate the amount of compression in the spring as follows:

x = F/k = (67.97 kg * 3.66 m/s2)/2658 N/m = 0.70 m

Therefore, the spring is compressed by 0.70 m.

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How would you convert steps and jumps to meters?

Answers

Explanation:

by inches to centimeter u can convert to meters

a lion can produce a roar with a sound intensity level of 114 db at a distance of 1.00 m . what is the sound intensity level at a distance of 4.00 m ? assume that intensity obeys the inverse-square law.

Answers

A lion can produce a roar with a sound intensity level of 114 db at a distance of 1.00 m . The intensity level at 4 m from the lion is 16 DB.

Though it is a unit of pressure rather than sound, the decibel, or dB, is frequently used to measure sound levels. A decibel is a logarithmic unit that expresses a physical quantity's relationship to a reference level.

The square of the distance has an inverse relationship with the decibel intensity.

I₂ = D₁²

I₁    D₂²

The sound intensity  level at one meter is 114 dB.

I₂ =   1²

114   4²

I₂ = 16 Db

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8. Simple machines make a job easier to perform by
a. decreasing the amount of work
b. decreasing the amount of friction
c. decreasing the amount of force and/or changing the direction of force
d. only lower the amount of force

Answers

Answer:

C

Explanation:

The difference between impulse and impact force involves the A) distance the force acts. B) time the force acts.C) difference between acceleration and velocity.D) mass and its effect on resisting a change in momentum.

Answers

The correct answer is B) time the force acts.

Impulse and impact force are related concepts but differ in terms of the time duration over which the force acts.

Impulse is defined as the product of the force applied to an object and the time interval over which the force acts. It represents the change in momentum of an object. Impulse is calculated using the equation:

Impulse = Force × Time

On the other hand, impact force specifically refers to the force exerted during a collision or impact between two objects. It is the force applied over a very short duration, typically involving rapid changes in velocity. Impact force can cause deformation or damage to objects involved in the collision.

Therefore, the distinction between impulse and impact force lies in the time duration over which the force is applied. Impulse considers the total force exerted over a given time period, while impact force focuses on the force exerted during a specific collision or impact event.

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alcohol thermometer cannot measure the thermometer of boiling water ,why?​

Answers

Explanation:

The contents of alcohol are less toxic and will evaporate quickly as compared to the mercury-in-glass thermometer. Since, alcohol starts boiling at 80℃ while the boiling point of mercury is 375℃. ... So, an alcohol thermometer cannot measure the temperature of boiling water as it has the limit to measures up to 80℃.

what is this it tastes sour
A. diamond
B. sugar
C. salt
D. cinnamon

what is this it tastes sourA. diamondB. sugarC. saltD. cinnamon

Answers

Answer:

salt

Explanation:

it comes from sea water

Answer:

Salt

Explanation:

It’s not cinnamon ( I know because if the picture)

it’s not sugar (sugar is sweet not sour)

IT MIGHT BE SALT (it’s salt)

its nit diamond (diamond doesn’t have a taste?)

A parachute on a racing dragster opens and changes the speed of the car from 93 m/s to 45 m/s in a period of 5.3 seconds. What is the acceleration of the dragster?

Answers

Answer:

\(-9.06\:\mathrm{m/s^2}\)

Explanation:

We can use the following kinematics equation to solve for acceleration:

\(v_f=v_f+at\).

Solving for \(a\):

\(45=93+5.3a,\\-48=5.3a,\\a\approx \boxed{-9.06\mathrm{m/s^2}}\)

*Note: Since acceleration is a vector quantity, it has both magnitude and direction. The negative sign implies that the acceleration is in the opposite direction of the racing dragster's movement.

What process forms the Mid-Atlantic Ridge?
A. Radioactive decay
B. Seafloor spreading
C. Radiometric dating
D. Sediment formation

Answers

Answer:

B. seafloor spreading

Explanation:

divergent motion between the Eurasian and North American, and African and South American Plates. ... In this way, as the plates move further apart new ocean lithosphere is formed at the ridge and the ocean basin gets wider

geological society

Balloon a is ___ charged and balloon c is ___ charged. If balloon a approaches balloon c there will be a force of blank between them

Answers

Balloon A is positively charged, and balloon C is negatively charged. If balloon A approaches balloon C, there will be an electrostatic force of attraction between them.

When two objects carry opposite charges, they exert an attractive force on each other. This force is known as the electrostatic force and follows Coulomb's law. According to Coulomb's law, the magnitude of the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this scenario, since balloon A is positively charged and balloon C is negatively charged, they have opposite charges. Therefore, the electrostatic force between them will be attractive. The magnitude of the force depends on the charges of the balloons and the distance between them. It is important to note that without specific information about the charges of the balloons and their distance, it is not possible to determine the exact magnitude of the force. To calculate the force, you would need the values of the charges and the distance between the balloons.

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a 5.00kg object is subjected to three forces that give it an acceleration. if two of the three forces are. find the magnitude of the third force vector

Answers

To find the magnitude of the third force vector acting on a 5.00 kg object that is subjected to three forces, we need additional information such as the magnitudes and directions of the two known forces. Without this information, we cannot calculate the magnitude of the third force.

To determine the magnitude of the third force, we need to consider the principles of Newton's second law of motion. According to this law, the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this scenario, the object is experiencing an acceleration due to the combined effect of the three forces.

To calculate the magnitude of the third force, we need the magnitudes and directions of the two known forces and their resulting acceleration. However, this information is not provided, making it impossible to perform any calculations to determine the magnitude of the third force.

Without the magnitudes and directions of the two known forces and their resulting acceleration, we cannot calculate the magnitude of the third force vector acting on the 5.00 kg object. Additional information is needed to solve this problem accurately.

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Which household item uses radiation in a beneficial way? conventional ovens smoke detectors electric air filters computers and TV sets

Answers

Answer:

Smoke detectors

Explanation:

This is because the ionization chamber in smoke detectors uses radiation, a form of heat transfer to detect smoke.

.The NRC allows beneficial use of smoke detectors which is a radioactive material because a smoke detector has the ability to save lives . it's ability to save lives outweighs any health risk from the radiation. The smoke detector use a very minimal amounts of radioactive materials.

Answer: The household item which uses radiation in a beneficial way is the SMOKE DETECTORS

Explanation:

Radiation is a type of energy that has the ability to travel through space and penetrate materials. There are various types of radiation which include alpha, beta and gamma rays. Many uses of radiation help to ensure high quality and safety of our daily lives. A typical example is seen in smoke detectors.

Smoke detectors are devices installed in a building which serves the purpose of detecting smoke which usually is associated with fire and sounding off an alarm. The types of smoke detectors available depends on their mode of action and these include:

--> Ionization smoke detectors: These type of detector are generally more sensitive to flamming fires. They have an in built small amount of RADIOACTIVE material between two electrically charged plates, which ionizes the air and causes current to flow between the plates. When smoke enters the chamber, it disrupts the flow of ions, thus reducing the flow of current and activating the alarm. An isotope of americium which emits alpha particles is used in this type of smoke detectors and it's an example of an alpha radiation.

Therefore, the household item which uses radiation in a beneficial way is the SMOKE DETECTORS.

Which change will always take place in nuclear fusion?(1 point)

Responses


A nucleus with a greater mass than any of the reactants will be produced.

A nucleus with a greater mass than any of the reactants will be produced.


The total charge will be less than before the fusion took place.

The total charge will be less than before the fusion took place.


The total charge will be greater than before the fusion took place.

The total charge will be greater than before the fusion took place.


A nucleus with a smaller mass than any of the reactants will be produced.

Answers

The change that will take place in nuclear fusion is a nucleus with a greater mass than any of the reactants will be produced.

What is Nuclear fusion?

The process of nuclear fusion, in which light elements interact to create heavier elements (up to iron). If the interacting nuclei are from low-atomic-number elements, like hydrogen (atomic number 1) or its isotopes deuterium and tritium, significant amounts of energy are released.

Thermonuclear weapons, or hydrogen bombs, which were created in the decade immediately following World War II, were the first to utilize the tremendous energy potential of nuclear fusion. There are two primary types of fusion reactions: those that maintain the number of protons and neutrons and those that entail converting protons and neutrons.

Because of a crucial aspect of nuclear matter called the binding energy, which can be released through fusion or fission, fusion reactions between light elements and fission reactions that split heavy atoms both release energy.

Therefore, a nucleus with a greater mass than any of the reactants will be produced when nuclear fusion takes place.

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A process in which heat is neither added nor removed, and some sensible heat converts to latent heat, is ____.

Answers

Adiabatic expansion is defined as expansion in which there is no heat exchange between the system and its environment and the system uses its own energy to perform work.

What rule governs the adiabatic process?

Any process in which the system neither gains nor loses heat is said to be adiabatic. With Q=0, the first law of thermodynamics demonstrates that every internal energy change takes the form of work. As a result, the heat engine process is constrained, resulting in the adiabatic situation depicted below.

Are you cooling by adiabatic expansion?

The method of decreasing heat by altering air pressure as a result of volume expansion is known as adiabatic cooling. Adiabatic processes have made it possible for data centers and other facilities to adopt free cooling techniques, which control the temperature using freely available natural phenomena.

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Adiabatic expansion is a process in which heat is neither added nor removed, and some sensible heat is converted to latent heat. Adiabatic expansion is characterized as expansion.

where no heat transfer occurs between the system and its surroundings and the system uses its own energy to carry out work. It is considered to be adiabatic for a process to occur when the system neither acquires nor loses heat. Because any internal energy change manifests as work when Q=0, the first law of thermodynamics is applicable. The heat engine process becomes restricted as a result, leading to the adiabatic scenario shown below. A form of cooling called as adiabatic cooling involves changing air pressure as a result of volume expansion of mass. It is possible due to adiabatic processes.

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Which of the following materials is a mixture? A. water B. table salt C. seawater D.iron filings

Answers

Answer:

eu acho que ê a B

uma bela noite abençoada

Answer:

The answer is "B" table salt

Good look

Explanation:

     

Ac=v^2/r solve for v, solve for r

Answers

Answer:

v = √ac×r

r = \(\frac{v^2}{ac}\)

Answer:

Explanation:

Sorry cant help

Does your experimental density of the unknown liquid agree with the true value? if no, give reasons for the discrepancy. Do not include operator errors

Answers

The reasons  for the discrepancy in the experimental density of the unknown liquid agree with the true value can be instrument not having same levels , Temperature Effects , Kind of scales used and  Shape of objects used for measure .

According to the question

Discrepancy:

The state or quality of being discrepant or in disagreement, as by displaying an unexpected or unacceptable difference; inconsistency.

Density:

Density is mass per unit volume, so when measuring density, you find the mass of the object and divide it by its measured volume.

All measurements include some uncertainty, however, and certain kinds of errors can increase the uncertainty in your calculation.

The reason of discrepancy in the experimental density of the unknown liquid agree with the true value can be:

1. Use of instrument not having same levels

2. Temperature Effects as Density varies with temperature .

3. Kind of scales used for measures

4. Shape of objects used for measure .

Hence, the reasons  for the discrepancy is instrument not having same levels , Temperature Effects , Kind of scales used and  Shape of objects used for measure .

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n airplane that flies at 100 km/h in a 100 km/h hurricane crosswind (i.e., the wind is blowing perpendicular to the direction the plane is pointing) has a ground speed of:

A) 200 km/h

B) 0 km/h

C) 141 km/h

D) 100km/h

Answers

The ground speed of the airplane is approximately 141 km/h. Option C is the correct answer.

The ground speed of an airplane flying in a crosswind can be determined using vector addition.

The airplane's ground speed is the vector sum of its airspeed (100 km/h) and the velocity of the crosswind (100 km/h). Since the wind is blowing perpendicular to the direction the plane is pointing, we can use the Pythagorean theorem to find the magnitude of the ground speed.

Ground speed = √(airspeed² + crosswind velocity²)

Ground speed = √(100² + 100²)

Ground speed = √(10000 + 10000)

Ground speed = √20000

Ground speed ≈ 141.4 km/h

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most thermodynamic calculations are performed under standard conditions. which set of conditions (temperature, concentration, and pressure) is associated with standard conditions?

Answers

Standard conditions refer to a specific set of temperature, concentration, and pressure values, which are commonly used in scientific experiments and calculations to provide a consistent basis for comparison.

In most thermodynamic calculations, standard conditions are defined as a temperature of 298.15 K (25°C), a concentration of 1 mol/L (1 M) for solutions, and a pressure of 1 atm (101.325 kPa) for gases. These conditions are important because they serve as a reference point, allowing scientists to easily compare the properties and behavior of various substances under the same set of conditions.

The use of standard conditions simplifies calculations and ensures that the results are consistent across different studies. By providing a uniform reference point, researchers can focus on the effects of specific variables, such as the type of substance, its structure, or its interactions with other substances, without having to account for variations in temperature, concentration, or pressure.

To summarize, standard conditions for most thermodynamic calculations involve a temperature of 298.15 K (25°C), a concentration of 1 mol/L (1 M) for solutions, and a pressure of 1 atm (101.325 kPa) for gases. These conditions provide a consistent basis for comparison, enabling scientists to examine the properties and behavior of various substances under the same set of conditions.

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With countercurrent flow, diffusion happened in all regions of the filter. Explain why

With countercurrent flow, diffusion happened in all regions of the filter. Explain why

Answers

Answer:

When the blood and the dialysate are flowing in the same direction, as the the dialysate and the blood move away from the region of higher concentration of the urea, to a region distant from the source, the concentration of urea in the blood stream and in the dialysis reach equilibrium and diffusion across the semipermeable membrane stops within the higher filter regions such as II, III, IV or V

However, for counter current flow, as the concentration of the urea in the blood stream becomes increasingly lesser the, it encounters increasingly unadulterated dialysate coming from the dialysate source, such that diffusion takes place in all regions of the filter

Explanation:

Due to difference in the concentration of urea between blood and filter.

With countercurrent flow, diffusion occurs in all regions of the filter because of the difference in concentration of urea between the blood and the filter. All regions of filter has less amount of urea as compared to the blood so that's why diffusion occurs in all regions.

Gases diffuse faster from one area to another when the concentration difference between the two areas is at its highest as compared when the concentration difference is low. In counter flow, there is high difference in the concentration between the blood and the filter.

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can a chemical change be undone?​

Answers

Answer:

no

Explanation:

because it will bind together in the molecular level

a lamp for which converts 70 W out of every 20 W into thermal energy the lamp is being used for the sole purpose of the lighting room.
calculate the efficiency

Answers

Answer:

71 % eff

Explanation:

if 50 out of 70  watt goes to making light

50/70 = 71 %

Suppose it is 100 times faster to access cache than RAM and it takes 100μ to access RAM, if we have a 95% hit ratio calculate the effective access time for our system?

Answers

The effective access time for the system is 5.95 units of time.

Calculate the effective access time for the system with a given cache hit ratio, we can use the concept of the "average memory access time" (AMAT).

The AMAT takes into account the time required for both cache access and RAM access, weighted by their respective hit and miss probabilities.

Cache access time: 1 unit of time (since cache access is 100 times faster than RAM access)

RAM access time: 100 units of time

Cache hit ratio: 95% (or 0.95)

Calculate the effective access time (EAT), we can use the following formula:

EAT = (cache hit time) + (cache miss time * miss ratio)

Cache hit time = cache access time = 1 unit of time

Cache miss time = RAM access time = 100 units of time

Miss ratio = 1 - cache hit ratio = 1 - 0.95 = 0.05

Plugging in the values, we get:

EAT = (1 * 0.95) + (100 * 0.05) = 0.95 + 5 = 5.95 units of time

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You are investigating the eruption history of a volcano. You find that the volcano has generated multiple lava flows that spread over large areas over the past 10,000 years. There is very little tephra. People in the nearby town remember the last eruption, when lava flows caused some forest fires. Based on this description, how would you classify the state of the volcano?
O Active Recently Erupting
O Active-Dormant
O Lurking
O Extinct

Answers

Based on the given information, the most appropriate classification for the state of the volcano would be "Active-Dormant."

The volcano's history of generating multiple lava flows over the past 10,000 years indicates that it has been active in the relatively recent past. The presence of lava flows that have spread over large areas suggests ongoing volcanic activity, although not necessarily in the immediate present.

Additionally, the mention of very little tephra (volcanic ash and fragments) indicates that the volcano is not currently experiencing explosive eruptions. Instead, it has been primarily characterized by effusive eruptions that produce lava flows.

The fact that people in the nearby town remember the last eruption, which caused some forest fires, further supports the classification of the volcano as active-dormant. While the volcano may not be actively erupting at the moment, the memory of the recent eruption and the potential for future volcanic activity suggests that it is still in a state of activity, albeit in a relatively dormant phase.

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