Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of both objects was tripled, and if the distance between the objects was doubled, then what would be the new force of attraction between the two objects?

Answers

Answer 1

Answer:

The new force of attraction would be 36 units

Explanation:

Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.  

This statement can be expressed with the formula:

[tex]\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant: [tex]6.67\cdot 10^{-11}~Nw*m^2/Kg^2[/tex]

Now suppose two given objects attract with a force of F=16 units, thus:

[tex]\displaystyle G{\frac {m_{1}m_{2}}{r^{2}}}=16[/tex]

And now the masses of both objects is tripled, i.e., m1'=3m1, m2'=3m2, and the distance between them is doubled, r'=2r. The new force is:

[tex]\displaystyle F'=G{\frac {3m_{1}3m_{2}}{(2r)^{2}}}[/tex]

Operating:

[tex]\displaystyle F'=G{\frac {9m_{1}m_{2}}{4r^{2}}}[/tex]

[tex]\displaystyle F'=\frac{9}{4}G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Substituting the value of the initial force:

[tex]\displaystyle F'=\frac{9}{4}\cdot 16[/tex]

[tex]F'=36\ units[/tex]

The new force of attraction would be 36 units


Related Questions

What is the kinetic energy of a 74.0 kg man traveling in a car at a speed of 52.0 m/s?

Answers

Kinetic energy = 1/2mv^2
Mass m=74kg
Velocity C=52m/s
K.E= 0.5*74*52*52
K.E=100048J or 100.048kJ

identify the types of simple machine given below .
a)scissors b)axe c)driller

Answers

Answer:

there should some picture to identify right?

pls edit your question and insert the picture..

Answer:

Well it depends Because An axe Would be A Simple machine well as a drill is

A ray diagram is shown.

Answers

Answer:

Angle of Refraction ?

Explanation:

My decided answer on this question

AGREE OR DISAGREE: All light can be seen.

Answers

Answer:

Disagree

Explanation:

We cannot see infared lights.

how can you change the amplitude of a wave?

Answers

Answer:

"Changing the amplitude of a signal is straightforward: We just need to multiply each sample with some constant number. In the case of sine waves, if what we want is a wave with amplitude a, our wave function becomes y = a * Math.sin(x)."

Explanation:

Risk*

Please Help Me!!!!!!​

Answers

Answer: B

Explanation: It states they have the same mass so the eliminates the majority of the answers. Density = mass/volume so if sample A & B have the same mass but A is heavier that means A has more volume than sample B

all 3 of these examples (Volt, Newton, Tesla) are units that come from other metric units true or false?

Answers

Answer:

False

Explanation:

because Only Volt and Newton are units come from metric units, however, the Tesla is not come from Metric units.

What change happens when matter
changes states?

Answers

Matter either loses or absorbs energy when it changes from one state to another. For example, when matter changes from a liquid to a solid, it loses energy. The opposite happens when matter changes from a solid to a liquid. For a solid to change to a liquid, matter must absorb energy from its surroundings.

What units would you use to measure a virus (nanometers micrometers millimeters)

Answers

nanometers

to measure a virus you use nanometers

A car moving round a circular racing track takes 120s to do a lap of 8km what is the speed in km/hr.

Answers

Answer:

Solution in photo

Explanation:

A car moves around in a circular racing track, and it takes 120 seconds to do a lap of 8 km, so the speed in km/hr is 239.76 km/hr.

What is Speed?

The speed of an object, commonly known as v in mechanics, is a scalar quantity that corresponds towards the size of the change in that object's position over duration or the size of the change in that object's position per unit of time.

The instantaneous velocity is the absolute maximum of the average speed as the time interval's duration gets closer to zero. The cruising pace of an object in a time interval is calculated by dividing its distance traveled by the time interval's duration. Velocity and speed are different concepts.

The given data according to the question is,

Time, t = 120 s

Distance, d = 8 km

s = 8/120

s =0.0666 km/sec or

s = 0.0666/1s × 3600

s = 239.76 km/hr.

Therefore, the speed is 239.76 km/hr.

To know more about Speed:

https://brainly.com/question/312131

#SPJ2

Help plssss ineed answers....

Answers

Answer:

Concept: Physics

Convex stands for converging which can form real and virtual Hence C is your answer

Answer:

1: d

2:b

3:b

4:a

5c

second page

1:a

2:c

3:d

4:c

5:d

text me for the rest of the answers or comment on this

What is the magnification of an object that is 4.15 m in front of a camera that has an image position of 5.0 cm? I need to show work and i don’t know what to do

Answers

It’s -0.012


Done !!!!!!!

a stone is thrown vertically upwards with an initial velocity of 20 metre per second find the maximum height it reaches and the time taken by to reach the height( g =10m/s)​

Answers

Answer:

y = 20 [m]

Explanation:

To solve this type of problem we must use the following equation of kinematics.

[tex]v_{f}^{2} =v_{o}^{2}-2*g*y[/tex]

where:

Vf = final velocity = 0

Vo = initial velocity = 20 [m/s]

g = gravity acceleration = 10 [m/s²]

y = elevation [m]

Now the key to solving this problem is to know that when the stone reaches the maximum height its speed is zero. Therefore the final velocity term is zero.

[tex]0 = (20)^{2}-2*10*y\\20*y=400\\y=20 [m][/tex]

Another important fact is that the sign of gravitational acceleration was taken as negative, since it acts in the opposite direction to the movement of the stone.

A boy is pulling a 150 kg crate with a force of 1150 N. If the crate experiences a frictional force of 490 N, find:

a) The acceleration of the crate.

b) The normal force acting on the crate.

Answers

For the aceleration:

First, let's find the resultant, and applicate 2nd law of Newton using the resultant, so:

R = ma

F - Ff = ma

Data:

F = Force = 1150 N

Ff = Friction force = 490 N

m = Mass = 150 kg

a = Aceleraction = ?

Replacing according our data:

1150 N - 490 N = 150 kg * a

660 N = 150 kg * a

660 N / 150 kg = a

a = 4,4 m/s²   ← Aceleration of the object

For the normal force:

The normal force IS NOT the resultant force, the normal force's the force between the ground and the object, in another words, is the weight of the object, and for the weight:

w = mg

w = 150 kg * 10 m/s²

w = 1500 N   ← Normal force between object and ground.

When an old building is to be torn down, Mr. Pham’s company removes the bricks, cleans off the mortar from the bricks, and then sells the bricks to companies that restore historic buildings. Which compound is Mr. Pham’s company most likely to use in its work?

hydrochloric acid
nitric acid
sodium hydroxide
lithium hydroxide

Answers

Answer:

hydrochloric acid

Explanation:

The compound Mr. Pham's company used is most likely hydrochloric acid.

Hydrochloric acid is a strong acid and it is applied to remove corrosion and rusts from another body.

For industrial purposes, they are used as cleansing agents.

The acid is capable of dissolving and breaking down the rust and corrosion.

A base does not have this property and would not effectively remove the corrosion.

Sodium hydroxide and lithium hydroxide are bases.

Nitric acid is not as strong as hydrochloric acid.  

Answer:

hydrochloric acid

Explanation:

i just did the test 3 minutes ago.

hope this helps and have a good day.

:)

Which of the following would result in the greatest gravitational force between the two objects?
A. two astronauts on a space walk that are 10 meters apart
B. two mosquitoes 0.25 meters apart flying around your head
C. two oxygen atoms separated by 1 meter inside of a hot air balloon
D. two massive blocks of concrete that are 1 meter apart floating in deep space

Answers

Answer:

i think b

Explanation:because they are so close

convert 67km/hr to m/s​

Answers

Answer:

answer is 18.6111

you can easily convert km/hr into m/s

just divide it by 3.6

Diffferentiare between atmospheric pressure and liquid pressure

Answers

Hydrostatic pressure is the pressure exerted by an incompressible fluid (a liquid) at a given point, due to the weight of the fluid above it. Atmospheric pressure is the pressure exerted on a surface by the weight of the atmosphere (a compressible fluid) above it.

what is the velocity of a car that travels 175 miles in 3.0 hours ?​

Answers

Answer:

58.3333333

miles

Explanation:

In a ballistics test at the police station an officer
shoots a 6.0g bullet at 350m/s into a wooden block. If
it takes 1.8ms for the bullet to stop, what is the
average force acting on the bullet as it stops? (Hint:
ms stands for milliseconds.)

Answers

you times the 6 by the 350 duvided 1.8

wooden block has a mass of 0.2 kg, has a specific heat of 710 J/(kg°C), and is a temperature of 20.0°C.
What is the block’s final temperature if its thermal energy increases by 2130 J?

Answers

Answer:

The final temperature is 35 °C.

Explanation:

Given that,

Mass of the wooden block, m = 0.2 kg

The specific heat of the block, c = 710 J/(kg°C)

Initial temperature, [tex]T_i=20^{\circ} C[/tex]

Thermal energy, Q = 2130 J

We need to find the block's final temperature. The thermal energy due to change in temperature is given by :

[tex]Q=mc(T_f-T_i)\\\\T_i\ \text{is initial temperature}\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{2130}{0.2\times 710 }+20\\\\T_f=35^{\circ} C[/tex]

So, the final temperature is 35 °C.

What is the chief benefit of anaerobic exercise?
A. Mental health
B. Improved physique
C. Endurance
D. Strength

Answers

Answer:

c isthe answer if not see my profile m e. e. t me I will explain u

Which of the following would be considered an exercise program?

a
basketball
b
football
c
aqua dynamics

d
soccer

Answers

probably c

.........

Answer:

c

Explanation:

A sled is slowing down at the bottom of a snowy hill.
Which statement describes the sled's motion?
The sled has a constant velocity.
The sled is accelerating.
Is a sled slowing down at the bottom of a snowy hill accelerating or constant velocity

Answers

Answer:

A sled and its rider are moving at a speed of along a horizontal stretch of snow, as Figure 4.24a illustrates. The snow exerts a kinetic frictional force on the runners of the sled, so the sled slows down and eventually comes to a stop. The coefficient of kinetic friction is 0.050. What is the displacement x of the sled?

Which event in a solar cell uses the photoelectric effect?
A. Electromagnetic waves act according to the wave model of light,
not the particle model.
B. Electromagnetic waves remove electrons from the transparent
glass on the top of the cell.
C. Electromagnetic waves strike a semiconductor, removing some of
its electrons, which form a current.
D. Electrons flow from the negatively charged semiconductor to the
positively charged one.

Answers

Answer:C

Explanation: yea

Electromagnetic waves striking  a semiconductor, removing some of its electrons, and forming a current is an event in a solar cell  which uses

What are electromagnetic waves?

The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.There are 7 types of electromagnetic waves in the electromagnetic spectrum.These have different wavelength, frequency and energy.

Learn more about electromagnetic waves,here:

https://brainly.com/question/8553652

#SPJ2

Is visible light a form of
radiation? Explain.

Answers

Answer:

Yes,in fact visible 'light' is a form of radiation, which can be defined as an energy that travels in the form of electromagnetic waves. It can also be described as a flow of particle-like 'wave-packets', called photons, that travel constantly at the speed of light (about 300 000 kilometres per second).

Explanation:

A sound wave traveling through dry air has a frequency of 16 Hz, a
wavelength of 22 m, and a speed of 350 m/s. When the sound wave passes
through a cloud of methane, its wavelength changes to 28 m, while its
frequency remains the same. What is its new speed? (The equation for the
speed of a wave is v= f x.)
A. 350 m/s
B. 9,800 m/s
C. 450 m/s
D. 13 m/s

Answers

Answer:

C. 450

it should be right

The new speed of sound wave is 450 m/s. Hence, option (C) is correct.

What is sound wave?

A sound wave is the pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter).

Pressure waves are produced when an object vibrates, such as a ringing phone, and these waves are known as sound waves.

Frequency of sound wave is = 16 Hz.

Wavelength of the sound wave is = 28 m.

Hence, new speed of sound wave is = 16 × 28 meter/second

= 448 meter/second

=450 meter/second. (approx.)

Learn more about sound wave here:

https://brainly.com/question/21995826

#SPJ5

2 Which of the following effectively summarizes paragraph 2?
A The orientation in space, relative to the Sun, is the cause
of Earth's seasonal changes.
1
B There is an imaginary pole running through the center of
Earth from the North Pole to the South Pole, which is called
an axis.
C We also learned that Earth's axis is tilted 23.5
degrees from the perpendicular of the plane of the
ecliptic.
D The northern hemisphere has more daylight hours.

Answers

Answer:B

Explanation:

The statement that summarizes the paragraph is northern hemisphere has more daylight hours.

What is Earth?

The Earth is part of the nine planet and it comprises of the equator, northern and southern hemisphere.

It is the most suitable place for living because it have water,oxygen and other gases that support life.

Therefore, The statement that summarizes the paragraph is northern hemisphere has more daylight hours.

Learn more about Earth below.

https://brainly.com/question/746553

#SPJ2

Which diagram has a greater gravitational force

Answers

Answer:

2

Explanation:

Due to the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn together by a stronger gravitational attraction. As a result, the gravitational pull between two objects grows as their respective masses rise.

What mass has a greater gravitational force?

Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be attracted by stronger gravitational forces. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

The attraction created by gravity is between masses. The gravitational force, commonly known as the gravity force, increases with the size of the masses. With an increase in the distance between masses, the gravitational pull rapidly lessens.

Therefore, second have greater gravitational force.

Learn more about gravitational force here:

https://brainly.com/question/12528243

#SPJ2

There are two tall slides at the newly opened theme park, a blue slide and a red slide. The slides have such a height that, if it weren't for friction and air resistance, riders would travel twice as fast at the bottom of the blue slide as they do at the bottom of the red slide. If the red slide is 8m tall, how tall is the blue slide?

Answers

Answer:

32 m

Explanation:

By energy conservation, total energy at the top of slide must be equal to the total energy at at the bottom.

therefore

mgh = (1/2)mv^2

v^2= 2gh

[tex]v = \sqrt(2gh)[/tex] ..............(1) i.e., velocity is a function of height of slide.

1st part

Let height of blue slide be H and height of red slide be h.

Let velocity of rider in blue slide= V and red slide= v

At the bottom of slide,

From equation (1)

therefore  

[tex]\frac{V^{2}}{v^{2}} = \frac{2gH}{2gh}[/tex]

Given, V= 2v  

[tex]\therefore  \frac{4v^{2}}{v^2{}} = \frac{H}{h}[/tex]

H = 4h

therefore, height of blue slide is 4 times that of red slide= 4*8=32 m

Other Questions
Work out the value of (1.7X10^4) X (8.5X10^-2) in standard form discuss how sentiment analysis works using big data? Read It! A bee gathers nectar. It uses its tongue for this. A bee's tongue is in its proboscis. The proboscis is a tube. It folds under the bee's head. The bee has a special muscle. The muscle helps suck up the nectar. The tip of the bee's tongue is curved. It works like a spoon. The bee can lap up liquid. The liquid is moved up the tube. Do It! The proboscis allows the bee to A fly B die C smell D eat What is x/y 2/130 4/100 6/70pls help Which aspect of critical thinking would help in understanding a patients laboratory results?A. using emotional reasoningB. tolerating ambiguityC. encouraging assumptionsD. analyzing data Which is the graph of y=-2x+3 Annie rounds 280.05 to the nearest hundred.Bobby rounds 280.05 to the nearest ten.Ciro rounds 280.05 to the nearest integer.Denise rounds 280.05 to the nearest tenth.What is the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer? juan says that the probability of picking two white marbles without replacing from a bag containing 3 solid white marbles and 5 striped marbles is equal to 1/64 is juan correct explain.A-juan is correct the probability of drawing any marble is 1/8 and 1/8 1/8=1/64B-juan is incorrect the probability of drawing a white marble is 3/8 and 3/83/8=9/64C-juan is incorrect since one of the marbles is taken after the first draw 3/82/8=6/64=3/32D-juan is incorrect the marble draw are not independent events.removing one marble affects probability for the next draw because the number of marbles in the sack decreases. 1. Your older sister, Anna is trying to figure out how she's going to pay for college in theFall. Anna is going over her options with you one night and she narrows it down toeither putting her college education on your parents' credit card or taking out astudent loan. Which one would you suggest and why?I2. Anna then tells you a story about her friend, Chad. Chad has a Target credit card thathe opened a few months ago. The other day he tried to use his credit card to buypopcom at the movies, but it was denied. Explain to your sister why this happened. Why did Hamilton argue for a strong federal government Pls answer its due soon!!! In what way was the structure of Mayan society similar to that of the early river civilizations? write a short paragraph on hydra c. Which of the following modal verbs indicates necessity?a) mayb) canc) wouldd) must Two offspring from same parents can have different phenotypes. How is this possible? what is health......... What does an effect allow you to do inEarSketch? Sam is moving house and is carrying a 300N box of books up a flight of steps 5m high, it takes her 30 seconds. Gary follows her carrying a bag of clothes doing 1000 J of work; it only takes him 25 seconds. Who provides the biggest power? Show your working. plx help i need to get this so I can be ungrounded The device shows the relative humidity at 22C. Whats the water vapor density if the maximum water vapor in air at this temperature is 20 grams/cubic meter?A device showing that at 22 degrees Celsius the relative humidity is 58%.