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

Hooke's Law Question - Will mark brainliest

A spring of natural length 10cm and spring constant 4.00Ncm −1 has a load of 22.0N placed on it. What is its new length?

Answers

Explanation:

Hooke's Law: Fe = kx

x = Fe / k = (22.0N) / (4.00N/cm) = 5.50cm.

10.00cm + 5.50cm = 15.50cm

The new length of the spring is 15.50cm.

A student wants to get real and inverted
image of same size as object. Which type of
mirror should be used and draw ray diagram
for this.​

Answers

Answer:

concave mirror

Explanation:

What caused the original creation of the Universe? How do we find out?

Answers

The Big Bang theory is the prevailing cosmological description of the development of the universe. According to estimation of this theory, space and time emerged together 13.799±0.021 billion years ago and the energy and matter initially present have become less dense as the universe expanded.At first, the universe was too hot and dense for particles to be stable, but then the first quarks formed, which then grouped together to make protons and neutrons, and eventually the first atoms were created. After about 500 million years, the first stars, galaxies and black holes began to take shape.

Why do you need to learn about Volcanoes?

Answers

that they sometimes explode?

Answer:

Without volcanoes, most of Earth's water would still be trapped in the crust and mantle . Early volcanic eruptions led to the Earth's second atmosphere, which led to Earth's modern atmosphere . Besides water and air, volcanoes are responsible for land, another necessity for many life forms .

Explanation:

I hope it helps

help plz will give brainliest and dont answer if u dont know

Answers

i think most likely the answer is the first one. meeting other students. if not then maybe the second one, highly motivated.

Answer:

is highly motivated

Explanation:

what material would you use to build countertops

Answers

Answer:   Natural stone

Explanation:

Answer:

Natural stone

Explanation:

The most common natural stones used to make countertops include granite, marble, soapstone, and slate.

Which statement about the relationship between air pressure and air density is accurate?

A) Air pressure decreases as air density increases
B) Air pressure increases as air density increases
C) Air pressure increases as air density decreases
D) Air pressure is unrelated to air density

Answers

Answer:

A: Air pressure decreases as air density increases

Explanation:

Pressure is a force exerted on or against an object by being in contact with a substance. Thus, air pressure is due to the bombardment of the air (gas) particles with a surface. Density is defined as the mass per volume of a substance. Thus, air density is defined as the mass of air per unit volume.

If that Explanation does not make any sense let me make it easier.

The air at the top of a mountain is cooler than the air at the bottom. This temperature difference is due to a phenomenon that occurs in Earth’s atmosphere. Air rises and sinks based on differences in temperature and pressure. Here’s a quick experiment that will help explain the role of pressure.Take in a deep breath as if you were ready to blow out birthday candles. Puff your cheeks with air like a chipmunk. Hold it for a few seconds, and then blow the air slowly from your cheeks.Cold air sinks while warm air rises because cold air is denser than warm air. When a lot of cold air sinks, it creates an area of high air pressure where it hits the surface. This high-pressure air flows to an area of low pressure, creating wind. When this air warms, it rises up into the atmosphere.Temperature decreases as altitude increases. That’s why a mountain peak may be covered with snow while the bottom of the mountain is full of green plants and trees. When warm air rises into the atmosphere, it cools. The density of the air increases as it cools, which eventually creates an area of high pressure and starts the cycle again.

If not for this phenomenon of air rising and sinking in the atmosphere, there would be no wind or weather.

I hope that helped!

We emphasize performance over participation well before kids' bodies, minds, and interests mature. And we tend to value the child who can help win games or whose families can afford the rising fees." Take some time to think through your answer.

Answers

Answer:

Yes.

Explanation:

Yes, we emphasize performance over participation of kids in a competition which causes negative effect on kid's personality. We also prefer those children whose families can afford the fees which is our big failure. We should  emphasize participation over performance and prefer those child who has the ability to win the game instead of those who can afford the fees.

Which statement about the relationship between mass in air and altitude is accurate?

A) Mass in air is unrelated to altitude
B) Mass in air increases as altitude increases
C) Mass in air increases as altitude decreases
D) Mass in air decreases as altitude decreases

Answers

Answer:

A) Mass in air is unrelated to altitude

Explanation:

Mass is the amount of matter contained in a substance. Altitude is the height of a body above a reference plane.

Mass and altitude are unrelated.

The mass of given body is the same everywhere in the universe provided no loss or gain of matter. Altitude increases as distance from the reference widens. Most often times, as altitude increases, temperature reduces due to the nature of the troposphere.

What current passes through a 1 kW heater with 25 V across it?

Answers

Answer:The voltage V in volts (V) is equal to the current I in amps (A) times the resistance R in ohms (Ω): V (V) = I (A) × R (Ω) The power P in watts (W) is equal to the voltage V in volts (V) times the current I in amps (A): P (W) = V (V) × I (A) AC Ohm's law calculator.

Explanation:

40 ampere current passes through a 1 kW heater with 25 Voltage across it.

What is voltage?

The difference in electric potential between two places is known as voltage, often referred to as electric pressure, electric tension, or potential difference. It relates to the amount of labor required to transfer a test charge between two places in a static electric field.

Given that power of the source is 1 kW and voltage is 25 V

current is given as,

Power = Voltage*Current

1kW = 25*Current

Current = 1000/25 = 40 ampere.

40 ampere current passes through a 1 kW heater with 25 Voltage across it.

To learn more about voltage refer to the link:

brainly.com/question/13521443

#SPJ5

List various ways through which AIDS spreads
please its aurgent fast​

Answers

Answer:

Blood, semen, bodily fluids, breast milk

Explanation:

Explanation:

Through.....

1) blood

2) breast feeding

3) semen

4) unprotected sex etc

a catcher "gives" with the ball when he catches a 0.196 kg baseball moving at 31 m/s. if he moves his glove a distance of 5.32 cm, what is the average force acting on his hand?

Answers

Answer:

3540.5N

Explanation:

Step one:

given data

mass m= 0.196kg

speed  v= 31m/s

distance r= 5.32cm = 0.0532m

Step two

The expression relating force, mass, velocity and distance is

F= mv^2/r

substitute we have

F=0.196*31^2/0.0532

F=0.196*961/0.0532

F=188.356/0.0532

F=3540.5N

I need help please
What % of offspring will be green?

Answers

Answer:

50%

Explanation:

Gg = 50%

gg = 50%

are these punnet squares?

How are the energy conversions of machines similar to the energy conversions in your body

Answers

Answer:

Explained below

Explanation:

When we eat food, our body gets chemical energy from it. Now, this chemical energy from the food is changed into some different energy forms that is useful to it. They include:

-Chemical to mechanical energy to aid in movement of muscles

- chemical to thermal energy to aid in regulating the body temperature.

- chemical to electrical energy to aid the brain in thinking.

Thus is similar to how a machine converts energy because machines also generate energy after being powered and convert to other forms of energy. For example, an alarm clock converts electrical energy to sound energy, hair dryer converts electrical energy to thermal/heat energy.

What are the types of motion that can be observed in a pendulum ? Some one please answer.√

Answers

Answer:

periodic motion

Explanation:

The massive object is affectionately referred to as the pendulum bob. When the bob is displaced from equilibrium and then released, it begins its back and forth vibration about its fixed equilibrium position. The motion is regular and repeating, an example of periodic motion.

Shawn is doing drills out on the field by pulling a tire behind him for 30 m. If Shawn is applying a net force of

1200 N to pull the tire, then how much work is Shawn doing?

Answers

Answer:

The work done by Shawn in moving the tire is 36,000 J

Explanation:

Given;

net force applied by Shawn , F = 1200 N

distance he moved the tire, d = 30 m

The work done by Shawn in moving the tire is calculated as;

W = Fd

Substitute the given values and solve for Work done;

W = 1200 x 30

W = 36,000 J

Therefore, the work done by Shawn in moving the tire is 36,000 J

Which element is most likely to have an oxidation number of +3?

Answers

Answer:

A different answer to this is AI

Explanation:

Lithium, beryllium and boron are the elements that have an oxidation number of +3.

What is oxidation number?

Oxidation number refers to the total number of electrons that an atom gains or loses in order to get stability and formed chemical bond with another atom. Atoms that lose electron form positive charge.

So we can conclude that Lithium, beryllium and boron are the elements that have an oxidation number of +3.

Learn more about oxidation here: https://brainly.com/question/25886015

#SPJ2

In the picture above, if the cue stick strikes the 0.2-kg cue ball with a force of 1.1 N, what will be the acceleration of the cue ball?

Answers

Answer:

0.55 m/s².

Explanation:

From the question given above, the following data were obtained:

Mass (m) of ball = 2 Kg

Force (F) applied = 1.1 N

Acceleration (a) =?

Force (F) is defined as the product of mass (m) and acceleration (a). Mathematically, the force (F) can be represented as:

Force (F) = mass (m) × acceleration (a)

F = ma

With the above formula, we can calculate the acceleration of the ball as follow:

Mass (m) of ball = 2 Kg

Force (F) applied = 1.1 N

Acceleration (a) =?

F = ma

1.1 = 2 × a

Divide both side by 2

a = 1.1 / 2

a = 0.55 m/s²

Therefore, the acceleration of the ball is 0.55 m/s²

Plants appear green because they do not absorb the green wavelengths of light. What happens to those green light waves when they hit a plant? The are diffracted. They are absorbed. They are reflected. They are refracted.

Answers

Answer:

They are reflected.

Explanation:

Red light is absorbed while green light is reflected, causing the color to be green in human eyes.

Answer:

C

Explanation:

why is the sun regarded as a big thermonuclear furnace?
plz tell​

Answers

Answer:

hope this answers will help you

Explanation:

If you find it appropriate then plz mark as brainliest

Visible light is the _______ that our eyes can see.

Answers

Answer:

Spectrum because it could respond to a specific color based upon how you humans typically perceive Lights of the wavelength

Answer:

spectrum

Explanation:

5) A car travels 150 km in 2 hours. What is its speed?
(Show the correct units.)

Answers

Answer:

75km/hr

Explanation:

distance(d)=150km

time(t)=2hours

speed=distance/time

=150/2

=75km/hr

Jada runs exactly 2 laps around a 400 meter track. What is the displacement?


a:
0
b:
400
c:
800

Answers

Answer:

Option B 400meters

Explanation:

What is displacement

Displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing

Given data

number of laps = 2

length of lap= 400meters

Since after every one lap she returns to her initial position ]

the displacement is 400meters

3. A 3.0 g bullet traveling at a speed of 400 m/s enters a tree and exits the other side with a speed of 200 m/s. Where did the I bullet's lost KE go, and what was the energy transferred? Solution:​

Answers

Answer:I had two questions: 1) Shouldnt the equation be : Change of internal energy= Change in Ke or KEi +Ui=KEf+Uf .. I cant seem to understand how the change in KE+ Change in Internal Energy equals 0 2) Also, it has a note which says that if the bullet alone was chosen as a system, then work would be done on it and the heat transfer woudl occur. How would one formulate an equation for this?

Explanation:

A clock's hour hand goes through 1.5 revolutions in 90
minutes.Calculate the angular displacement of the minute hand in
degrees

Answers

Answer:

Explanation:

how far around a circle is once around in degees?

1.5 * 360 = 540°

What must occur to produce electric current?​

Answers

To produce an electric current, three things are needed: a supply of electric charges (electrons) which are free to flow, some form of push to move the charges through the circuit and a pathway to carry the charges. The pathway to carry the charges is usually a copper wire.

no wrong answers please

Answers

sorry i can’t help sorry good luck tho!!!!

The north pole of one bar magnet is near the south pole of another bar
magnet. What happens to the magnets?
O A. They repel each other.
B. They attract each other.
C. They twist away from each other.
O D. They neither attract nor repel each other.

Answers

B
Opposites attract
Like poles repel

Answer: they attract each other .

Explanation: jus took it.

In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees. By 2017, the area covered by trees was reduced to 300,000,000 hectares. What is the percentage decrease in the area covered by trees between 1630 and 2017?

Answers

Answer:

29.41%

Explanation:

Given that,

In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees.

By 2017, the area covered by trees was reduced to 300,000,000 hectares.

We need to find the percentage decrease in the area covered by trees between 1630 and 2017.

The percentage decrease in any value is given by :

[tex]\%=\dfrac{300,000,000 -425,000,000 }{425,000,000 }\times 100\\\\=29.41\%[/tex]

So, the percentage decrease in the area covered by the trees is 29.41%.

Which statement describes a characteristic of a question that can be answered through scientific inquiry? (A.It requires the application of ethical standards.) (B.It can be answered using measurements.) (C.It can be answered using a philosophical argument.) (D.It requires the approval of more than one scientist.)

Answers

Answer:

B. It can be answered using measurements.

Explanation:

Scientific inquiry can be defined as the various ways, techniques and approach used by scientists to study the world and provide a detailed description (information) based on the empirical evidence derived from the investigation.

Measurements can be defined as a technique which typically involves the process of identifying and determining the dimensions, quality and quantity of a physical object.

Hence, the statement which best describes a characteristic of a question that can be answered through scientific inquiry is that, it can be answered using measurements. Using scientific inquiry to answer questions entails using measurements to propose specific and evidential explanations, as well as back up theories associated with the question.

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