what is a gravitational field and how its strength be measured

Answers

Answer 1
A gravitational field is the field generated by a massive body, that extends into the entire space. Every object with mass m experiences a force F when immersed in a gravitational field. The intensity of the force is equal to
[tex]F= \frac{GM}{r^2} m[/tex]
where [tex]G=6.67 \cdot 10^{-11} m^3 Kg^{-1} s^{-2}[/tex] is the gravitational  constant, M is the mass of the source of the field (e.g. the mass of a planet), and r is the distance between the object and the source of the field. The force is always attractive. 

A possible way to measure the intensity of a gravitational field is by measuring the acceleration a of the object immersed in this field. In fact, for Newton's second law we have:
[tex]F=ma[/tex]
but since 
[tex]F= \frac{GM}{r^2} m[/tex]
we can write
[tex]a = \frac{GM}{r^2}[/tex]
Therefore, by measuring the acceleration of the object, we also measure the intensity of the field.


Related Questions

Consider a situation where you are playing air hockey with a friend. The table shoots small streams of air upward to keep the puck afloat and to reduce friction. The puck moves horizontally due to

Answers

Final answer:

The puck moves horizontally in air hockey due to Newton's first law of motion, which states that an object in motion stays in motion unless acted upon by an external force. The streams of air shooting upward on the table minimize friction and keep the puck afloat.

Explanation:

The puck moves horizontally in the game of air hockey due to Newton's first law of motion, also known as the law of inertia. According to this law, an object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction, unless acted upon by an external force.

When the air is on in the air hockey table, it reduces the friction between the puck and the table, allowing the puck to glide smoothly across the surface. The small streams of air shooting upward help keep the puck afloat and minimize contact with the table.

The downward weight or gravitational force acting on the puck does not affect its horizontal motion because it is balanced by the normal force exerted by the table.

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The usual motion of the planets against the background of stars is_________ to _____ motion.

Answers

This is the answer➡️ Is faster to orbital motion. Hope it's helpful. Peace✌️

an airplane starts at rest and accelerates down the run way for 20 s. at the end of the run way, its velocity 80 m/s north whats it acceleration??

Answers

acceleration = final velocity / time

acceleration = 80m/s / 20s

acceleration = 4 m/s^2

A box of mass 50 kg is pushed hard enough to set it in motion across a flat surface. Then a 99-N pushing force is needed to keep the box moving at a constant velocity. What is the coefficient of kinetic friction between the box and the floor? 0.23 0.18 0.20

Answers

The box is kept in motion at constant velocity by a force of F=99 N. Constant velocity means there is no acceleration, so the resultant of the forces acting on the box is zero. Apart from the force F pushing the box, there is only another force acting on it in the horizontal direction: the frictional force [tex]F_f[/tex] which acts in the opposite direction of the motion, so in the opposite direction of F.
Therefore, since the resultant of the two forces must be zero,
[tex]F-F_f=0[/tex]
so
[tex]F=F_f[/tex]

The frictional force can be rewritten as
[tex]F_f = \mu m g[/tex]
where [tex]m=50 kg[/tex], [tex]g=9.81 m/s^2[/tex]. Re-arranging, we can solve this equation to find [tex]\mu[/tex], the coefficient of dynamic friction:
[tex]\mu = \frac{F}{mg}= \frac{99 N}{(50 kg)(9.81 m/s^2)} =0.20[/tex]

_____ means to put off exercise.

procrastinate

vigorous activity

physical fitness

skill-related fitness

Answers

The answer is procrastinate.

The clue to the answer is in the question, which is "put-off." The word "put-off," in the context of the sentence means to delay or postpone. Now to delay or to postpone an action is the definition of procrastinate.

Answer: Option (a) is the correct answer.

Explanation:

Meaning of procrastinate is to delay or avoid anything in order to not complete a task.

For example, a student procrastinate's him homework by playing with his friends and cousins.  

Whereas vigorous activity means to do an activity enthusiastically. Physical fitness means to a person who is physically fit.

On the other hand, skill related fitness means to be able to complete a work with perfection. For example, a woman skilled in embroidery makes beautiful designs on cloths using embroidery threads and needle.

Thus, we can conclude that procrastinate means to put off exercise.

Objects in space __________. question 12 options: require energy to move because they have mass do not require energy to move because there is no gravity stop on their own move on their own

Answers

I think it's:
they do not require energy to move because there is no gravity.
hope it helps.

If 9.5 waves break on a beach in 1.0 minute what is the frequency answer

Answers

Given data:

Number of waves = 9.5
Time = 1.0 minute

First, as frequency is (1/s), we need to convert time into seconds:
Time = 1.0 minute =  60 seconds.

Frequency of 9.5 waves = 9.5 / 60 = 0.158 Hz ≈ 0.16 Hz

So the answer is: 0.16 Hz!

-i

which country is bordered by both ecuador and venezuela

A. colombia

B. guyana

C. french giana

D. suriname

Answers

The answer is A.

Columbia is country situated in the northwest of South America. Colombia shares a border to the northwest with Panama, to the east with Venezuela and Brazil and to the south with Ecuador and Peru. Colombian territory also encompasses Pacific coastlines in the west.

the corect answer is a

A 63 kg gymnast climbs 15 m up a vertically hanging rope. He completed the distance in 70 seconds. How much power did his body output to achieve the climb?

Answers

The work required is equal to the potential energy when he's at the top. This is given by 

[tex]E=mgh=63kg \times 9.8 \frac{m}{s^2} \times 15m=9261J[/tex]

The power is this energy divided by the time it took to do the work

[tex]P= \frac{E}{t}= \frac{9261J}{70s} =132.3W[/tex]

Answer:b

Explanation:

hope it helps

A/an______is a pure substance made of atoms that are all of the same type

1 proton
2 compound
3isotope
4element

Answers

An element is a pure substance made of atoms that are all of the same type.

A blu-ray disc rotates counterclockwise and speeds up at a constant rate. how does the tangential acceleration of point p compare to the tangential acceleration of point q?

Answers

The figure of the problem is missing.

However, we can solve it this way. First of all, every point of the disk has the same angular acceleration, which is the rate of variation of the angular velocity in time. In fact, the disk rotates coherently, therefore all the points cover the same angle during the same time interval.

Then, the tangential acceleration of a generic point on the disk is related to the angular acceleration [tex]\alpha[/tex] by the following relation:
[tex]a_{tan} = \alpha r[/tex]
where r is the distance of the point from the center of the disk.

Therefore, if we call [tex]r_P[/tex] the distance of point P from the center and [tex]r_Q[/tex] the distance of point Q from the center, we can find the ratio of the tangential accelerations between the two points:
[tex] \frac{a_{tanP}}{a{tanQ}} = \frac{r_P \alpha}{r_Q \alpha} = \frac{r_P}{r_Q} [/tex]

So, the larger is the distance of the point from the center, the larger is the tangential acceleration.

Which statements best describe science? Check all that apply. A)Science uses beliefs and opinions to construct explanations. B)Science is resistant to new information. Science is supported by facts and processes. C)Science involves observation and experimentation. D)Science continually changes and is constantly updated.

Answers

Answer:

Science is supported by facts and processes.

Science involves observation and experimentation.

Science continually changes and is constantly updated.

Options A, C, and D are statements best describe science. Another approach to defining science is that it is the information gained through experience.

What is science?

Science is knowledge about the physical world and the things that occur within it. It is an objective observation that explains nature's fundamental rules.

The statements best describe science will be;

A)Science is supported by facts and processes.

C) Science involves observation and experimentation.

D) Science continually changes and is constantly updated.

Hence options A, C, and D are statements best describe science.

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A 5 cm object is 18.0 cm from a convex lens, which has a focal length of 10.0 cm.

What is the distance of the image from the lens? Round your answer to three significant figures. ____ cm
What is the height of the image? Round your answer to three significant figures? ____ cm

Answers

Answer:

Image distance, v = 22.5 cm

Height of the image, h' = 6.5 cm

Explanation:

It is given that,

Height of the object, h = 5 cm

Object distance, u = -18 cm

Focal length of the lens, f = +10 cm

Using mirror's formula :

[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v}=\dfrac{1}{10}+\dfrac{1}{(-18)}[/tex]

v = 22.5 cm

Magnification of the lens :

[tex]m=\dfrac{v}{u}=\dfrac{h'}{h}[/tex]

[tex]h'=\dfrac{v}{u}h[/tex]

[tex]h'=\dfrac{22.5\ cm}{-18\ cm}\times 5[/tex]

h' = -6.5 cm

Hence, this is the required solution.

Answer:

22.5  and 6.25

Explanation:

A positively charged ion will bond with
A) a negatively charged ion.
Eliminate
B) a neutral atom.
C) another positively charged ion.
D) nothing else.

Answers

Answer: A

 A positively charged ion will bond with negatively charged ion. This interaction is called ionic bonds, where ions can form a compound. However, not all compounds are ionic, but each elements on the periodic table is capable of forming an ion. Atoms form ions when they either take up or release electrons in order to fill their outer shell. Positive ions are called cations that are typically metals like copper or sodium. Meanwhile, negatively charged ions are anions, made from nonmetallic elements like oxygen and sulfur.

The answer is A

Hope that helps. =)

What has more inertia: a full water bottle sitting on a desk, or a football player running with the ball?

Answers

According to the First Law of Motion or Law of Inertia, Inertia is the tendency for an object to resist change in its velocity. If you look at your scenario you have a full water bottle on a desk and a football player running with the ball. The water bottle is at REST  because is not moving while the football player is IN MOTION, because he is running.

Now the question is would it be easier to make the water bottle move or to make the football player stop?  

It is easier to make the bottle move than stop the football player. Since the running football player shows more resistance to a change in its motion, then it has more inertia. 

Final answer:

A football player has much more inertia than a full water bottle because inertia is directly related to an object's mass, and the player's mass is significantly greater than that of the water bottle. This greater mass results in the player's motion being minimally affected when catching the football, illustrating the player's higher level of inertia.

Explanation:

The question of which has more inertia, a full water bottle sitting on a desk or a football player running with the ball, centers around the concept of mass as the quantifiable measure of an object's inertia. Inertia, by definition, is the resistance of any physical object to any change in its state of motion, including changes to its speed and direction. An object with more mass has more inertia since it requires more force to change its motion.

Through this lens, the football player has much greater mass compared to a water bottle, hence significantly more inertia. Despite the football having a higher velocity when thrown, the player's mass makes his momentum and inertia far greater. This concept is illustrated when considering the effect on motion during the act of catching: the player's motion is only slightly affected because his greater mass (and thus inertia) absorbs the change with minimal alteration in speed or direction.

This observation aligns with the fundamental principles of momentum which state that momentum (mass times velocity) of an object is directly related to both its mass and velocity. However, in the context of inertia, it is the mass component that is most influential in determining the effect of external forces on an object's motion.

The Sun has a major impact on climate. This can be seen by comparing _____. the East and West coasts tropical and polar climate zones atmospheric and oceanic circulation the North and South poles

Answers

Tropical and Polar climate zones.

Answer: Option (2)

Explanation: Sun plays a vital role in controlling the earth's climatic condition. Our earth is slightly tilted and the incoming solar radiations are directly incident on the equatorial and the tropical region, due to which it experiences a relatively high temperature.

             But as we move towards the higher latitude, we observe that the temperature frequently drops down. It is because the radiations from the sun needs to travel a longer path through the atmosphere, which gets scattered or absorbed, thereby making it difficult to reach the poles. So the polar regions are cold enough due to less sunlight.

                 Therefore, the earth shows maximum temperature at the equatorial region and minimum temperature at the poles.

Jed drops a 18 kg box off of the Eiffel tower. After 6.1 seconds, how fast is the box moving (neglect air resistance.)

A. 1100 m/s
B. 78 m/s
C. 180 m/s
D. 3.3 m/s
E. 60 m/s

Answers

The box fall with acceleration 10m/s2 due to gravity

velocity/ 6.1 = 180
velocity = 1098 m/s

the answer is A.

Answer:

Speed, v = 60 m/s

Explanation:

Given that,

Mass of the box, m = 18 kg

Time, t = 6.1 seconds

Initially the box is at rest, u = 0

Let v is the final speed of the box i.e. after 6.1 seconds. We can calculate it using first equation of motion as :

[tex]v=u+at[/tex]

Here, a = g

[tex]v=gt[/tex]

[tex]v=9.8\times 6.1[/tex]

v = 59.78 m/s

or

v = 60 m/s

So, after 6.1 seconds, the box is moving with a speed of 60 m/s. Hence, this is the required solution.

8. A 300g mass hangs at the end of a string. A second-string hang from the bottom of that mass and supports a 900g mass. (a) Find the tension in each string when the masses are accelerating upward at 0.700m/s2 . (b) Find the tension in each string when the masses are accelerating downward at 0.700m/s2 .

Answers

We are looking for:
Tension A=?
Tension B=?
Then convert grams to kilograms
1kg = 1000g 
300g= 0.3 kg
900g= 0.9kg
Given:
mA= 0.3kg
mB= 0.9kg
how? W=mg
g= 9.8 m/s^2
ay= 0.700m/s^2 
WA= 2.94N

WB= 8.82N
For A [Tension A-Weight A - Tension B=mAay]
TA - 2.94 - TB=0.3kg(0.700m/s^2)
TA - 2.94 - TB = 0.21 N
TA - TB = 0.21N + 2.94 N
TA - TB = 3.15 N
* refer TB from below*
TA - TB = 3.15N
TA - 9.45N = 3.15N
TA = 3.15N + 9.45N
TA = 12.6N

For B F = ma
Summation of forces along y-axis = mBay
-8.82 N + TB = 0.9 kg(0.700 m/s^2)
-8.82N + TB = 0.63 N
TB = 0.63 N + 8.82 N
TB = 9.45 N

In a shuffleboard game, the puck slides a total of 12 m before coming to rest. if the coefficient of kinetic friction between the puck and the horizontal board is 0.34, what was the initial speed of the puck?

Answers

The frictional force is given by
[tex]F_f = mg \mu_D[/tex]
where m is the mass of the puck, [tex]g=9.81 m/s^2[/tex] and [tex]\mu_D=0.34 [/tex] is the dynamic coefficient of friction.

The work done by this force to stop the puck is
[tex]W=F_f d [/tex]
where [tex]d=12 m[/tex] is the total displacement of the puck.

The initial kinetic energy of the puck is
[tex]K= \frac{1}{2} mv^2 [/tex]
with v being the puck initial velocity. The puck comes to rest after 12 m, this means it loses all its kinetic energy, and for the principle of conservation of energy this loss of energy is equal to the work done by the frictional force. So we can write
[tex]K=W[/tex]
[tex] \frac{1}{2} mv^2 = mg\mu_D d [/tex]
and from this we can find the inizial velocity of the puck:
[tex]v= \sqrt{2 g \mu_D d}= \sqrt{2(9.81 m/s^2)(0.34)(12 m)}=8.95 m/s [/tex]

Which component of earth's motion causes the stars to rise earlier on successive nights?

Answers

There is just one component that makes the stars rise earlier on seccessive nights, this component is its's orbit around the sun. Hope it was helpful.
Peace✌️

What is a wavelength of sound wave moving at 340m/s with frequency of 256hz

Answers

v = 340 m/s
f = 256 Hz
lambda (wavelength)

v = f*lambda
340 = 256 * lambda
340/256 = lambda
lambda = 1.328 m 

Imagine that you have a 6.50 l gas tank and a 4.50 l gas tank. you need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. if you fill the larger tank with oxygen to a pressure of 155 atm , to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? assume ideal behavior for all gases. express your answer with the appropriate units.

Answers

Final answer:

Given the scenario and assuming ideal gas behavior, to ensure both gases run out at the same time, you should fill the acetylene tank to a pressure of approximately 224 atm.

Explanation:

For gases behaving ideally, the pressure, volume, and temperature are related by the Ideal Gas Law (PV = nRT). However, in this problem, we assume temperature and gas constant are the same for both gases. Hence, the amount of gas (in moles) is directly proportional to the product of pressure and volume (PV).

Now you want to calculate the pressure in the acetylene tank that ensures both gases run out at the same time. Since both gas tanks will be opened for the same timeframe, the amounts of each gas in moles used will be the same. Hence, the products of pressure and volume will also be equal for both tanks (PV of oxygen tank = PV of acetylene tank).

In other words, (Pressure of oxygen) x (Volume of oxygen) = (Pressure of acetylene) x (Volume of acetylene). By inserting given values for oxygen (Pressure = 155 atm, Volume = 6.50 L) and the volume of acetylene (4.50 L), you can solve for the pressure in the acetylene tank.

From this equation, Pressure of acetylene = (Pressure of oxygen) x (Volume of oxygen) / (Volume of acetylene) = 155 atm x 6.50 L / 4.50 L = 223.88 atm.

Therefore, to ensure you run out of both gases at the same time, you should fill the acetylene tank to a pressure of approximately 224 atm.

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The acceleration produced by an unbalanced force acting on an object is _____ proportional to the magnitude of the force.

Answers

I believe it is directly proportional. If it's not correct I apologize. 

April stands on a flat surface. If she has a mass of 72 kg, what is the normal force acting on her?

Answers

IF she is on or near the surface of Earth at the time, then ...

... Her WEIGHT is  (mass) (gravity) = (72 kg) (9.8 m/s²) = 705.6 Newtons

... The surface under her feet exerts a normal force, upward,
against her feet.

... If the upward normal force is NOT 705.6 Newtons, then the
NET force on the bottom of her feet is not zero, and her feet are
accelerating, either up or down.

... But she is just standing there, not accelerating either up or down.

... Therefore, the NET force on the bottom of her feet must be zero.

... The normal force acting upward against her feet must be exactly
equal to her weight ... 705.6 Newtons.

Answer: 706

Explanation:

Salt dissolves more quickly in water when the water molecules are moving very quickly. In which of these water samples would salt dissolve most slowly? water at 15°C water at 50°C water at 75°C water at 98°C

Answers

The real answer is:

water at 15°C

Answer:

The answer is Water at 15°C

Explanation:

Why does the sample on a microscope slide need to be very thin?

A. so it can fit on the stage of the microscope

B. so light can shine through it from below

C. so it can be seen with a diverging lens

D. so the eyepiece lens can be focused properly

Answers

B. so light can shine through it from below.

The sample on a microscope slide need to be very thin because light can shine through it from below.

What are the term thin of microscope?

Histology has to do with the study of tissues. Sectioning has to do with cutting very thin slices of objects.

Thus, histological sectioning is an act of cutting very thin slices of tissues for the purpose of mounting such on microscope slides. To enhance views and differentiate different parts of cells, sections of tissues are often stained.

For anything to be seen it must either emit light or reflect light. When you look at the functioning of a microscope you will notice that when you put specimen under the microscope, you need an external light source to illuminate the specimen. For this purpose a light source is placed right under the specimen holder.

For the specimen to be visible clearly the slide is made transparent so that it is backlight by the light and easily visible in the microscope.

Hence, Option B is the correct answer.

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Everyday lifestyle choices affect your physical fitness. Please select the best answer from the choices provided. T F

Answers

Answer:
True

Explanation:
Physical fitness is defined as the health state of the body and its ability to carry on with the daily occupation as well as sports.
The everyday lifestyle affects this physical fitness, in case you are not used used to "moving" in your daily life, your body will be sort of lazy and lack the power and ability to carry on with the daily occupation as well as sports.
In case your daily lifestyle involved motion, your body will be used to doing activities which will help improve your physical fitness.

Hope this helps :)

Answer:

Itzz True me childern

Explanation:

A rocket is launched straight upward with a velocity of 90 m/s. It slows down, reverses direction, and returns to earth. what is the rockets velocity at its highest point above the ground.
a. 0.078 m/s
b. 0 m/s
c. -7.0 m/s
d. 13 m/s
e. -13 m/s

Answers

This is a kinematics problem. But, since the rocket's velocity is asked at the highest point, it will be 0m/s because it comes to a stop for a fraction of a second. The answer is b.

Answer: 0 m/s

The rocket is launched straight upward with a velocity of 90 m/s, At the highest point, the instantaneous velocity would be 0 m/s. The rocket slows down while moving up. The velocity would be 0 m/s at the highest point for an instant and then reverses direction to return on Earth. If it is not controlled, then it would free fall under gravity.

a ferris wheel takes 5 minutes to complete one full rotation, what is the angular velocity of the ferris wheel

Answers

recall that ω = θ/t where θ is the angle in radians.

now, a full rotation, or namely a revolution, is 2π radians, and the ferris wheel does it in 5 minutes, thus ω = 2π/5 which is about 1.256637061435917 rads/minute

Answer:

0.021 rad/s

Explanation:

t = 5 minutes = 5 x 60 = 300 seconds

Time taken to complete one complete round is called time period.

Let the angular velocity is ω.

The relation between angular velocity and the time period is given by

ω = 2 π / T

ω = ( 2 x 3.14 ) / 300 = 0.021 rad/s

The time between high and low tide when the current changes direction is called ____.

Answers

slack water is the ansewer to that question
Other Questions
..... responsible for 50% of the earth photosynthesis which produces a significant amount of oxygen Warhol's early paintings of these objects made him famous.Campbell's soup cansCoke bottlescomic stripsurinals 1. Read the following passage from "The Happy Man.""Inside him, he felt a boundless power, an imperishable energy, and ability to achieve anything with confidence, precision, and obvious success. His heart was overflowing with love for people, animals, and things and with an all-engulfing sense of optimism and joy. It was as if he were no longer troubled or bothered by fear, anxiety, sickness, death, argument, or question of earning a living. Even more important than that, and something he could not analyze, it was a feeling which penetrated to every cell of his body and soul; it played a tune full of delight, pleasure, serenity, and peace and hummed in its incredible melodies and whispering sound of the world which is denied to the unhappy."Which of the following stylistic elements is used by the writer in these lines to create humor?A. HyperboleB. IncongruityC. IronyD. Sarcasm2. All of the following statements about literary symbols are true except:A. Symbols enhance the meaning of textB. Symbols generally have only one meaningC. Symbols are often timeless and universal in natureD. Symbols can present in the form of characters, objects, or actions what was the function of fine textiles and pottery in the Andean Cultures? What might be an example of a symbolic item to photograph at a parade? The street A flag A drum A shoe Carbon in the ocean originates from the atmosphere. Please select the best answer from the choices provided T F Friends and family are examples of social networks true or false which of the following systems of inequalities would produce the region indicated on the graph below PLZ HELP NEED ASAP!!!!!!! Read the passage.To make my favorite smoothie, I pour one-half cup of yogurt into the blender. Next, I add one-fourth cup of blueberries, followed by five strawberries. I finish it off with a banana.Which organizational structure is used in this passage?A.listB.order of importanceC.process orderD.spatial order read the sentence. Many groups worked diligently for justice. what sentence's complete prepositional phrase? List some common warning signs of substance abuse. Big Reward! (Answer the right answer not just comment).2(5x-4)=ax+bFind a value for a and b so that the solution is A. Has one solutionB. Has no solutions.C. Infinite Solutions When taking measurements, you must consider _____. - accuracy, precision, and uncertainty - only accuracy - only precision - only uncertainty A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 1.85 km. (a) what is its centripetal acceleration in gs? Which event is most closely associated with the end of the Great Depression Solve 3x+11= k for x.A. x=3k-11B. x=k-11C. k+11 x= 3D. k-11 x= 3 Whats the answer? factor by grouping 5x^2+2x+40x+16 What is the correct way to classify a triangle with angles that measure 20 , 40 and 120 Please help me!!!!!!!!!!!!!!!!What is the constant of proportionality? What would the equation look like? Asexual reproductionSexual reproduction MitosisMeiosisChromosomeCell division CloneBudding Acquired traitRecessive TraitDominant TraitCo-Dominantwhat is the definitions for these plz