The gravitational force between two objects is 3600 N. What will be the gravitational force between the objects if the mass of each object is reduced to one third of its original mass
A. 400 N
B. 1200 N
C. 10,800 N
D. 32,400
Answers
Answer:
It will reduce by 9 times and become 400 N.
This question can be solved using the concepts of Newton's Law of Gravitation, and gravitational force.
The gravitational force between the two objects if the mass of each object is reduced to one-third of its original mass will be "A. 400 N".
According to Newton's Law of Gravitation the gravitational force between two objects is given as follows:
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]---------- eqn (1)
where,
F = Gravitational force between objects = 3600 N
G = Universal gravitational constant
m₁ = mass of the first object
m₂ = mass of the second object
r = distance between the objects
Now, the masses have become one-third of the original value:
[tex]F'=\frac{G(\frac{m_1}{3})(\frac{m_2}{3})}{r^2}\\\\F' = \frac{1}{9}\frac{Gm_1m_2}{r^2}\\\\using\ eqn\ (1):\\\\F' = \frac{F}{9} = \frac{3600\ N}{9}\\\\[/tex]
F' = 400 N
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The attached picture illustrates Newton's Law of Gravitation.
Related Questions
A farmer is attempting to take a chicken across a river in a motorboat while a fox waits on shore with a bag of grain. If the river has a current with a velocity of 2.0 m/s and the boat maintains a speed relative to the water of 4.5 m/s, in which direction (angle) should the farmer point the boat so that the boat follows a straight path directly across the river?
Answers
Answer:
The farmer should go approximately 26.39° relative to the direction of and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river
Explanation:
The given parameters are;
The river current velocity = 2.0 m/s
The boat speed relative to the water = 4.5 m/s
Therefore, for the boat to have a resultant velocity that will follow a straight path directly across the river, we have;
The water current velocity, 2 m/s, the relative speed of the boat, 4.5 m/s, and the resultant velocity, v, form a right triangle, with the water current being the base, and the boat's relative speed being the hypotenuse side, while the height is the resultant velocity
Therefore, we have;
The direction of the boat relative to the direction of current the river = θ
The relative speed of the boat × sin(θ°) = The river current velocity
∴ sin(θ°) = The river current velocity/(The relative speed of the boat)
Which gives;
sin(θ°) = 2 m/s/(4.5 m/s) = 2/4.5 = 4/9
θ = sin⁻¹ = sin⁻¹(4/9) ≈ 26.39°
Therefore, the farmer should go approximately 26.39° relative to the direction of and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river.
As the earth rotates through one revolution, a person standing on the equator traces out a circular path whose radius is equal to the radius of the earth (6.38×10^6). What is the average speed of this person in meters per second? If we are standing in latitude 43° north what is our average speed?
Answers
Answer:
The average speed will be "1038 mph".
Explanation:
Period for one revolution is:
T = 24 hours
= 86,400 sec
x = c = 2πr
The given values is:
r = 6.38×10⁶ m
Now,
⇒ [tex]T=\frac{2 \pi r}{v}[/tex]
Or,
⇒ [tex]v=\frac{2 \pi r}{T}[/tex]
On substituting the values, we get
[tex]=\frac{2 \pi (6.38\times 10^6)}{86,400}[/tex]
[tex]=464 \ min/sec[/tex]
[tex]=(464 \frac{min}{sec}) (\frac{3600 \ sec}{1 \ hour} )(\frac{1 \ mi}{1609 \ m} )[/tex]
[tex]=1038 \ mph[/tex]
A bike moves. 50 m in 10 seconds calculate the speed of the bike
Answers
Answer:
We know that
Speed = Distance/ Time
Explanation:
Distance is 50 mTime is 10 secondsSpeed = 50/10
= 5 m/s
2. On a par 4 golf course, you make the ball in:
1. Hole in one
2. Birdie
3. Par
4. Eagle
5. Double bogey
6. Triple bogey
7. Bogey
a. 7 shots from the tee
b. 5 shots from the teel
c. 1 shot from the tee
d. 4 shots from the tee
e. 3 shots from the tee
f. 2 shots from the tee
g. 6 shots from the tee
Answers
2=e
3=d
4=f
5=g
6=a
7=b
Where does the energy of plasma come from?
Answers
Answer:
El plasma es un estado de la materia que se caracteriza por su alta energía e inestabilidad. La energía del plasma, entrando en contacto con la superficie de materiales sólidos – plásticos o metales – modifica sus propiedades fundamentales, como por ejemplo la tensión superficial.
Explanation:
Plasma – el cuarto estado de la materia
A través de aportación de energía se cambia el estado de la materia: de sólido a líquido y de líquido a gaseoso. Si al gas se aporta energía adicional, éste se ioniza, es decir, que por la mayor energía el gas se convierte en plasma - el así llamado “cuarto estado de la materia”.
Answer: I translated it
Hope to get Brainliest.
Plasma is a state of matter that is characterized by high energy and instability. The energy of the plasma, coming into contact with the surface of solid materials - plastics or metals - modifies their fundamental properties, such as surface tension.
Explanation:
Plasma - the fourth state of matter
Through the contribution of energy, the state of matter is changed: from solid to liquid and from liquid to gas. If additional energy is supplied to the gas, it is ionized, that is, due to the increased energy the gas is converted into plasma - the so-called “fourth state of matter”.
PLEASE ANSWER FAST!!What was significant about the clay samples from the Western Hemisphere? How was the Alvarez hypothesis modified in response?
Answers
Answer:
The Western Hemisphere contained significantly higher amounts of shock-fractured quartz. This led Walter and Luis Alvarez to hypothesize that the asteroid impact site was in the Western Hemisphere.
Explanation:
What is the wavelength of a wave with a speed of 20 m/s and a frequency of 20 Hz?
Answers
Wavelength =(speed)/(frequency)
Wavelength =(20 m/s) / (20/s)
Wavelength = 1 meter
Cuál es el método que utiliza el factor de la gravedad y la difusión de un líquido sobre un sólido para separar las partes de una mezcla de varios líquidos mezclados entre sí
Answers
Answer:
chromatography
Explanation:
Chromatography is one of the powerful technique that is used to separate the mixed components of liquid or the gas mixtures.
In this technique the separation of the mixture by passing the mixture in some solution or some suspension through the medium where the components are made to move at some different rates.
The basic idea in this experiment is that the mixture sample is in mobile phase and it is forced either by pumping or by gravity or by capillary action through the stationary phase to separate the mixture.
HELP. A river flows South with a speed of 8m/s. From the shore, you see a boat moving South with a speed of 10 m/s. From their frame of reference, how fast are the rowers moving?
Answers
Answer:
18 m/s
Explanation:
Given that,
Speed of river is 8 m/s due South
From the shore, you see a boat moving South with a speed of 10 m/s. Both boat and river are moving in same direction. The resultant velocity will add up.
v = 10 m/s + 8 m/s
v = 18 m/s
Hence, the rowers are moving with a speed of 18 m/s.
Complete the paragraph to describe binary systems. A binary star system is made of (blank) stars, one of which is brighter than the other. Astronomers are able to detect the dimmer star because its gravity causes the bright star to (blank). Astronomers can also spot the dimmer star by observing a phenomenon called a(n) (black) binary. This happens when the dim star passes in front of the bright star.
Answers
Answer: two, wobble, eclipsing
Explanation: I am watching the video now
Answer:
Two Wobble eclipsing
Explanation:
I got it right on the Assignment. :)
Which statement illustrates how engineering has influenced society?
A. Digital cameras require far less time to generate images than film cameras
do.
B. Digital cameras allow people to take more pictures and share them more
widely than film cameras did.
C. People want the cameras in their cell phones to be able to capture high-
resolution images
D. People expect that advances in imaging technology will keep up with their
needs for sharing pictures.
Answers
The statement illustrates how engineering has influenced society in that People want the cameras in their cell phones to be able to capture high-resolution images. Option C is corect.
What is a digital camera?A digital camera that creates pictures that can be saved on a computer and seen on a screen.
People want their mobile phone cameras to be able to take high-resolution pictures, which shows how engineering has affected society.
Statement B illustrates how engineering has influenced society.
Hence option C is correct.
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HELP ME PLZ ASAP ITS DUE ON MONDAY
Answers
Answer:
the answer in the paper
Answer:
5a. 11m, 5b. 16m, 5c. 9m, 5d. 7m 6a. 3m, 6b. 0m, 6c. 2m, 6d. 5m
Explanation:
I hope this helped and plz make brainliest!
Ravi, Rajiv and Shyam are sitting inside a room. The body temperature of. Ravi, Rajiv and Shyam are 35.8 ℃, 36.2 ℃ and 36.4 ℃. It is given that the temperature of air present in the room is 36.1 ℃. Who among them will feel cold? Give Reason, please reply as soon as possible!! (explanation needed).
Answers
Answer:
"Cold" in this case, is defined as a difference between the body temperature and the room/ambient temperature.
If the body temperature is higher than the room temperature, then the "sensors" in our skin will sense that the ambient temperature is lower than ours, then we feel "cold"
The room temperature is: 36.1°C.
The higher body temperature is the one of Shyam, 36.4°C
The difference is really small:
36.4°C - 36.1°C = 0.3°C
But still, he will feel the room a little cold for him
PAGE 29
Q. 1. What is meant by power of accomodation of the eye?
Answers
This is the process of changing the shape of the eye lens to focus on near or distant objects.
what are 6 things the four states of matter have in common please help asap!
Answers
TEST
16. What is the average velocity of Mulan as
she covers 20 min 3.5 s to meet her
matchmaker?
0.175 m/s
10 m/s
70 m/s
5.71 m/s
CLEAR ALL
Answers
A horse is grazing for food. It trots rightward 15 m to eat a carrot, then walks rightward 20 m, to another carrot, then turns leftwards to walk 4m, to bite an apple. The horse walks a total time of 74 seconds. What is the magnitude of its average velocity?
(** HINT- you may want to draw this out, remember with VELOCITY direction matters-opposite vectors cancel out-with SPEED direction does not matter).
Answers
Answer:
0.42sExplanation:
Velocity = Displacement/time
Displacement of the horse is the distance covered in a specified direction
Total distance of the horse towards the right = 15m + 20m = 35m
Total distance of the horse towards the left = 4m
Displacement = Distance towards the right - Distance towards the left
Displacement = 35m-4m
Displacement = 31m
Time taken = 74seconds
substitute the values gotten into the velocity formula
average velocity = 31m/74s
average velocity = 0.42m/s
Hence the magnitude of its average velocity is 0.42s
which expression correctly describes energy using SI units
Answers
Answer:
Joule
Explanation:
energy, work, quantity of heat
m2·kg·s-2
How does the “Sum of Forces” help you?
pls helppppppppppppppp
Answers
Explanation:
maaf kalau saya salah pada jawaban anda
The modern periodic table of elements contains
_______ main groups.
Answers
Answer:
The modern periodic table of elements contains
Eighteen main groups.
Help please I give brainliest
Answers
Answer:
can someone help me with physics to
Answer:
equation D=mass/volume
D=m/v
example sample : D=m/v= 250/100 = 2.5 g/cm³
1- D=m/v = 454/2274 = 0.2 g/cm³
2- 1 liter = 1000 cm³
D=m/v=1000/1000= 1 g/cm³
3 - d=m/v
0.6 g/cm³=m / 1.2 cm³
m=0.6*1.2 = 0.72 g
4: a:171/15 = 11.4 g/cm^3 lead
b:148/40 = 3.7 g/cm^3 Aluminum
c:475/250 =1.9 g/cm^3 Bone
d: 680/1000 = 0.68 g/cm^3 Gasoline (lithium)
5: the density of a substance equal to the mass of the substance divide by volume
If i wanted to determined what part of your brain that you needed not just used in order to respond to the sound of your voice which brain analysis technique should i use
Answers
Answer:
The brain analysis technique which allows for identifying which part of the brain is functional per human activity is Neuroimaging.
Explanation:
Brain Imaging (or Neuroimaging) involves the use of direct observation in a living organism of the structure, function and anatomy of its central nervous system.
Cheers!
Which economic idea did Adam Smith promote in The Wealth of Nations?
Answers
The economic idea that Adam Smith promoted in The Wealth of Nations was that without government interference, businesses should be able to function freely. This is further explained below.
What is the economic idea that Adam Smith?Generally, Smith was an opponent of free trade. open markets tend to self-regulate via competition, market forces, and self-interest.
In conclusion, In Adam Smith's The Wealth of Nations, argued that enterprises should be freed to operate without government intervention.
Read more about the economy
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Answer:bA country’s wealth should be measured based on its productivity.
Explanation:
Frozen dirt can be harder than concrete. Explain why this is true.
Answers
Which example best represents balanced forces? an elevator stopped on the third floor a basketball shot into a hoop a sled sliding down a snowy hill a tow truck pulling a car out of a ditch
Answers
Answer:
an elevator stopping on the third floor
Explanation:
The example that best represent balanced force as regards this question is an elevator stopped on the third floor.
Balanced force can be regarded as resultant force that has a magnitude of zero when acted on an object. When forces that are been subjected on a body are zero then the force is balanced.In the case of the elevator, immediately it stopped at a particular floor, then it will gave a balanced force, because at that point all forces acting on it becomes zeroWhen a car is pushed from a ditch , the force is acting from a side so its not balancedExamples of balanced forces are;
The weight of object as well as normal force acting on it can be regarded as been balanced.When pushing a car at both opposite sides with the same forces.A lizard that hangs in vertical position.Therefore option A is correct, because balanced force exist as the elevator stopped.
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What force is needed to accelerate a 90 kg punching bag 13 m/s2?
Answers
Answer:
The answer is 1170 Newton
Explanation:
Force =. Mass × Acceleration
= 90 × 13
= 1170 Newton
An airplane flies 33 m/s due east while experiencing a tailwind
of unknown velocity due north. The resultant velocity is
determined to be 35.11 m/s northeast. What is the velocity of
the northern tailwind?
Answers
Explanation:
Use Pythagorean theorem.
v² = vₓ² + vᵧ²
(35.11 m/s)² = (33 m/s)² + vᵧ²
vᵧ = 12 m/s
The velocity of the northern tailwind is 12 m/s.
To find the velocity of northern tailwind, the given values are,
Resultant velocity v = 35.11 m/s,
Velocity of plane vₓ = 33 m/s.
What is the resultant velocity?The resultant velocity of the plane is the sum of the velocities of the plane and the wind with the consideration of their directions. The sum of the vector forces on an object is equal to the scalar product of the object's mass and its acceleration vector.The plane heads east and the wind being a tailwind also heads north east. Hence, we add their values using Pythagorean theorem,Use Pythagorean theorem.
v² = vₓ² + vᵧ²
(35.11 m/s)² = (33 m/s)² + vᵧ²
vᵧ² = 35.11² - 33²
vᵧ² = 1232.71 - 1089
vᵧ = √143.71
vᵧ = 11.98 m/s
which can be vᵧ = 12 m/s
Hence, the velocity of the northern tailwind is vᵧ = 12 m/s.
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A giraffe, standing 6.00 m tall, bites a branch off a tree to chew on the leaves
and lets the branch fall to the ground. How long does it take the branch to hit
the ground?
Answers
Answer:
1.11 s.
Explanation:
From the question given above, the following data were obtained:
Height (H) = 6 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =.?
The time taken for the branch to hit the ground can be obtained as follow:
H = ½gt²
6 = ½ × 9.8 × t²
6 = 4.9 × t²
Divide both side by 4.9
t² = 6/4.9
Take the square root of both side
t = √(6/4.9)
t = 1.11 s
Therefore, it will take 1.11 s for the branch to hit the ground.
What is uniform acceleration
Answers
Answer:
It means zero acceleration.
Explanation:
When a body moves with constant velocity then it is said to be there is no rate of change of velocity takes place because it is constant. So the acceleration becomes zero or uniform acceleration.
Which is directly proportional to your weight on a planet's surface?
A. Only the mass of the planet
B. The distance from the surface to the center of the planet
C. Only your mass
D. Your mass and the mass of the planet
Answers
Answer:
D your mass the mass of the planet .
Explanation:
Answer: your mass and the mass of the planet
Explanation: