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

decreases, gravitational, increases, kinetic, potential, thermal

A car driving along a road has energy in its _______ store. If the car drive faster this store_____. If the car drives up a hill, energy is transferred to its ____ store. If the care brakes, the kinetic store _____.

Answers

1. Kinetic
2. Increases
3. potential
4. Decreases

What is the difference between professional and casual communication styles?

Answers

Answer:

professional communication style is expected to be formal while the casual is informal.

Explanation:

A boxer pushes on a 25 kg heavy bag which is attached to the ceiling until it makes an angle of 36 degrees to the vertical. How much force must the boxer exert on the bag?

Answers

Answer:

198.20 N

Explanation:

Given that,

Mass of a heavy bag, m = 25 kg

The bag is attached to the ceiling until it makes an angle of 36 degrees to the vertical.

We need to find the force must the boxer exert on the bag. The force acting on the bag is given by :

[tex]F=mg\cos\theta\\\\=25\times 9.8\times \cos(36)\\\\=198.20\ N[/tex]

So, the required force is 198.20 N.

Mutations in sections of DNA can be caused by all of the following EXCEPT

Question 2 options:

Viruses


Chemicals


Ultraviolet Radiation


Sexual Reproduction

Answers

Answer:

sexual reproduction

Explanation:

A 34.75 kg boulder is rolling down a hill. If, at one moment, the boulder has a momentum of 239.5 kg ⋅ m/s, what is its velocity at that time?

Answers

Answer:

Velocity = 6.89 m/s

Explanation:

The equation for momentum: [tex]Momentum=(Mass)(Velocity)[/tex]

Substitute the given information into the equation and solve for velocity.

[tex]239.5=34.75(Velocity)\\\frac{239.5}{34.75}=\frac{34.75(Velocity)}{34.75\\}\\6.89=Velocity[/tex]

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

Answers

Answer:

50%

Explanation:

Gg = 50%

gg = 50%

are these punnet squares?

A man standing on top of a 30 m tall building throws a brick downwards with a velocity of 12 m/s. Determine the speed of the brick just before it hits the ground.

Answers

Answer:

27.1m/s

Explanation:

Given parameters:

Height of the building  = 30m

Initial velocity  = 12m/s

Unknown:

Final velocity  = ?

Solution:

We apply one of the kinematics equation to solve this problem:

         v²  = u²  + 2gh

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

h is the height

          v²   = 12²  + (2 x 9.8 x 30)

          v  = 27.1m/s

Which graph accurately shows the relationship between kinetic energy and mass as mass increases

Answers

Answer:

c

Explanation:

energy doesnt affect to mass of a object

PLEASE HURRY What is "a section of a chromosome that typically contains the code for a particular protein, which determines a specific trait" called?

heterozygous

genetics

species

gene

Answers

Answer:

It is a gene!!

Explanation:

It is because RNA is referred to as a gene. Genes are contained in chromosones.

Tor F. When we carry an object across the room without lifting it or setting it down, we
don't do any physical work on it.

Answers

Answer:

True

Explanation:

Study guide answer key

What conclusion can you draw from the information shown in the graph?
O A. Global temperatures are increasing due to human activity.
B. Earth is currently experiencing a period of global warming.
O C. Temperature is the only aspect of climate that is changing.
O D. Global temperatures are increasing due to natural causes.

Answers

Answer:

The correct option is;

B. Earth is currently experiencing a period of global warming

Explanation:

From the graph, we have;

1) From 1880 to 1900 the temperature anomaly (°C) averages a few degrees below the average surface temperature

2) The decrease below the average surface temperature is larger from  1900 to 1920

3) The surface temperature rises more steadily from below average to a little above average from 1920 to 1940

4) Between 1940 to 1980, the temperature hovers around the average surface temperature

5) The Earth's surface temperature is more or less steadily increasing from 1960 to present

Therefore, the Earth is experiencing a period of global warming

Energy that depends upon object mass and object height.

Answers

Answer:

That is Gravitational potential energy.

An 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?

Answers

Answer:

1626.4 N

Explanation:

Given that a 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?

The parameters to be considered are:

Distance S = 3m

Time t = 0.55s

Since the man started from rest, initial velocity u = 0

Using second equation of motion

S = Ut + 1/2at^2

3 = 1/2 × a × 0.55^2

3 = 1/2 × a × 0.3025

a = 3/ 0.15125

a = 19.83 m/s^2

Force = mass × acceleration

Force = 82 × 19.83

Force = 1626.4 N

Therefore, the force that water exerted on him is 1626.4 N

Pleaaaase help meeee
Read the following case and discuss how you would respond to the situation.
PROBLEM:

You have been assigned the position of Environmental Engineer for one of several local
robotics manufacturers whose water discharges flow into a lake in a flourishing tourist area.
Although all the robotics companies in the area are marginally profitable, they compete for
the same customers. Included in your responsibilities is the monitoring of water and air
discharges
at your plant and the periodic preparation of reports to be submitted to the Department of
Natural Resources. You have just prepared a report that indicates that the
level of pollution in the plant's water discharges slightly exceeds the legal limitations. Your
boss, the Plant Manager, says you should regard the excess as a mere
"technicality," and he asks you to "adjust" the data so that the plant appears to be in
compliance. He says that the slight excess is not going to endanger human or fish
life any more than if the plant were in compliance. On the other hand, he says, solving the
problem would require a very heavy investment in new equipment. He
explains, "We can't afford new equipment. It might even cost a few jobs. It will set us
behind our competitors. Besides the bad publicity we'd get, it might scare off
some of the tourist industry, making it worse for everybody."

1) How do you think you should respond to your boss's request? Explain :

2) Define the problem :

3) what are the possible results of decision?

4) is there any information about the situation that is not obvious or available in the paragraph?

5) what are the ethical issues to consider in this situation

6) How did you decide to handle the situation what did you decide to do?








Answers

Answer:

3

Explanation:

Please Help Me!!!!!!​

Answers

Answer:

..

Charcoal is flammable.

Yeah I agree with the other dude it’s flammable

Please help as fast you can

Answers

Answer:

d a

Explanation:

Select the correct answer.
Which diagram represents an object in equilibrium?
ОА.
applied
force = 20 N
force due to
friction = 15 N
OB.
applied
force = 20 N
force due to
friction = 20 N
OC.
applied
force = 15 N
force due to
friction = 25 N
OD.
applied
force = 30 N
force due to
friction = 20 N
ОЕ.
applied
force = 30 N
force due to
friction = 15 N
Reset
Next
My

Answers

Answer:

B

Explanation:

The force and friction cancel each other.

20N - 20N = 0N acting on the object.

pls someone help me

Answers

Answer:

Can't see the pic

Explanation:

What is potential difference also called?

Answers

voltage - V = IR : v= voltage i= current r= resistance

What is the momentum of a 120 pound bicyclist that is traveling at 25 mph?

Answers

momentum’s equation is p=mv

p=(120)(25)
p=3000


The biker’s momentum is 3000kgm/s

Are all forms of radiation safe for humans?

Answers

not all forms of radiation is safe for humans

Answer:

there are not all safe for humans

You look at yourself in the mirror and notice many of your physical features: your hair color, eye color, your height, dimples, etc. How does DNA relate to the way you look the way you do?

Answers

well, you get some DNA from both of your parents, so when you hear the phrase, "You have your mother's eyes!" That means you have some of your mother's DNA that gave you her eye color. The DNA you get from your parents help determine how you look today

The person with the greatest ___ hits earth first

A. Volume
B. Mass
C. Density
D. Weight

Answers

Answer

A because that’s what I learned

The person with the greatest density will hit the earth first.

What is Density?

This is regarded as the mass per unit volume of a substance.

Density = mass/ volume

In objects with different densities, the drag and buoyancy forces will be the

same. They will however have different gravitational force in which the

denser object has more compared to lighter ones.

Read more about Density here https://brainly.com/question/1354972

Help me please with science

Answers

Answer:its b

Explanation:

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.

how much power is used to move a 25 kg mass 8 meters in 15 seconds?

Answers

power done is 196 watts

Answer:

Concept: Physics

Power is related to Work which we will find below[tex]work = f \times d[/tex]Note that force is a vector quantity that has magnitude and direction We have a mass of 25 kg and we want to know the force it exerts by newton's first law: 25 × 9.81 m/s^2 = 245 N Now we have our force and d 245 × 8 meters= 1960 J Power is represented in joules The equation for Power is [tex]p = \frac{w}{t} [/tex]Hence [tex] \frac{1960}{10} [/tex]So we get that P= 196 W

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.

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 bullet's lost KE go, and what was the energy transferred?

Answers

Answer:

1800J

Explanation:

Step one:

given data

mass of bullet m= 3g= 0.03kg

initial velocity u = 400m/s

final velocity v= 200 m/s

Step two:

1.The bullet's lost kinetic energy went inside the tree.

2. The energy transferred is computed as

= initial KE- KE final

Initial KE= 1/2mu^2

Initial KE= 1/2*0.03*400^2

Initial KE= 1/2*0.03*160000

Initial KE= 1/2*4800

Initial KE= 2400J

KE final= 1/2mv^2

KE final= 1/2*0.03*200^2

KE final= 1/2*0.03*40000

KE final= 1/2*1200

KE final= 600J

KE transferred = 2400-600

KE transferred= 1800J

is cereal a soup? explain why or why not

Answers

Answer:

no

Explanation:

because its cold

soup is hot

In this activity, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10 degrees increments between the values of 30 degrees and 90 degrees. Three different masses can be selected - 2.0kg, 3.0kg, and 4.0kg in each simulation the cart is pull d to the same height - 1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm-ruler that is displayed for each trial. Can some help me

Answers

Answer:

darn this too much lololpop

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