The force of attraction between any two bodies is proportional to the product of their masses and inversely proportional to the square of their distance.
To find the magnitude of the net gravitational force on the mass at the origin due to the other two masses, we need to use the formula:
F = G*(m1*m2)/r^2
where G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them.
Let's first calculate the distance between the mass at x1 and the mass at the origin:
r1 = |x1 - 0| = 110 cm = 1.1 m
Then, we can calculate the gravitational force between these two masses:
F1 = G*(m1*m2)/r1^2 = 6.67×10−11 * 6200^2 / 1.1^2 = 1.63×10^15 N
Similarly, we can calculate the distance between the mass at x2 and the mass at the origin:
r2 = |x2 - 0| = 300 cm = 3 m
And the gravitational force between these two masses:
F2 = G*(m1*m2)/r2^2 = 6.67×10−11 * 6200^2 / 3^2 = 1.31×10^14 N
The net gravitational force on the mass at the origin due to the other two masses is the vector sum of F1 and F2. To find the magnitude of this force, we can use the Pythagorean theorem:
Fnet = sqrt(F1^2 + F2^2) = sqrt((1.63×10^15)^2 + (1.31×10^14)^2) = 1.63×10^15 N (to three significant figures)
The direction of the net gravitational force can be found by taking the inverse tangent of the ratio of the y and x components of the force vector. Since both forces are acting in the same direction (towards the origin), we can simply take the angle between the line connecting the two outer masses and the x-axis:
θ = tan^-1((x2 - x1)/r) = tan^-1((300 - (-110))/3) = 68.2°
Therefore, the direction of the net gravitational force on the mass at the origin due to the other two masses is 68.2° counter-clockwise from the positive x-axis.
To find the net gravitational force on the mass at the origin, we'll first calculate the individual forces from each mass and then combine them.
For the mass at x1 = -110 cm, the distance is 110 cm (0.011 m). Using the gravitational force formula:
F1 = G * (m1 * m2) / r^2
F1 = (6.67 × 10^(-11) N⋅m^2/kg^2) * (6200 kg * 6200 kg) / (0.011 m)^2
F1 = 3.08 N (approx.)
For the mass at x2 = 300 cm (3 m), the distance is 3 m. Using the gravitational force formula:
F2 = G * (m1 * m2) / r^2
F2 = (6.67 × 10^(-11) N⋅m^2/kg^2) * (6200 kg * 6200 kg) / (3 m)^2
F2 = 0.102 N (approx.)
Now, we have two forces, F1 and F2. Since they act along the x-axis, we can combine them directly. The net force F is the difference between F1 and F2 because they act in opposite directions:
F = F1 - F2 = 3.08 N - 0.102 N = 2.98 N (approx.)
The net gravitational force on the mass at the origin is approximately 2.98 N. The direction of the net gravitational force is towards the mass at x1 = -110 cm, which is to the left on the x-axis.
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All living things are closely related to their _______________________. Any change in one part of an environment causes a __________________________________________________
All living things are closely related to their environment. Any change in one part of an environment causes a stimulus.
What is an Environment?All living or non-living objects that occur naturally, or in this example, without the use of artificial means, are included in the natural surroundings or natural world. The phrase is most frequently used with reference to Earth or certain regions of it.
An environment encompasses all that surrounds us, including both living and dead objects like water, soil, plants, and animals that can adapt to their environment. The gift of nature is what sustains life on Earth.
Environment can be summed up as the effects of every one of the living or non-living things that have an impact on human life. Non-living or abiotic elements include water, land, sunshine, rocks, and air, whereas all live or biotic components are animals, plants, forests, fisheries, and birds.
Thus, all living things are closely related to their environment. Any change in one part of an environment causes a stimulus.
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Explain in detail how clouds form.
Answer:
Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.
Un automóvil viajó 186.4 Km a una velocidad constante de 57 Km/h. ¿Cuánto tiempo se necesitó para el viaje?
Answer:
t = 1.177 10⁴ s
Explanation:
For this exercise we use the uniform motion relationships
v = x / t
t = x / v
let's reduce the magnitudes to the SI system
v = 57 km / h (1000m / 1km) (1h / 3600s) = 15.833 m / s
x = 186.4 km (1000m / 1 km) = 186.4 10³ m
let's calculate
t = 186.4 10³ / 15.833
t = 11.77 10³ s
t = 1.177 10⁴ s
Why do we have two colors of arrows on the map?
Answer:
To differentiate the two concepts each colour represents (perhaps)
Explanation:
Where is the map?
Answer:
such as green representing forested land and blue representing waterways.
Alli was in the park playing on the equipment. she noticed that on the highest slide she slides down
Explanation:
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Alli was in the park playing on the equipment. She noticed that on the highest slide, she slides down with the greatest speed. The correct option is C.
What is the relation between height and speed?Height is the measurement of someone or something from head to foot or from base to top.
The curved slide is the fastest, despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.
When two items rub against one another, as a slide and a person's bottom, friction is created. A slide would accelerate the rider too quickly without friction, possibly injuring them. Various substances known as lubricants can lessen the impact of friction.
Therefore, the correct option is C) With the greatest speed.
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The question is incomplete. Your most probably complete question is given below:
A) Without friction
B) with the slowest speed
C) With the greatest speed
D) with the same speed as the shortest slide
How many electrons would be needed to give a cobalt atom (that has 27 protons and 28 neutrons) a net charge of zero?
Answer:
The answer would be 123
An 12 kg object accelerating from 9 m/s to 14 m/s. What is the change in momentum of the object?
Answer:
Change in momentum = 60kgm/s.
Explanation:
Given the following data;
Mass, m = 12kg
Initial velocity, u = 9m/s
Final velocity, v = 14m/s
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
[tex] Momentum = mass * velocity [/tex]
To find the change in momentum;
Mathematically, change in momentum is given by the formula
[tex] Change \; in \; momentum = m(v - u) [/tex]
Substituting into the equation, we have;
[tex] Change \; in \; momentum = 12(14 - 9) [/tex]
[tex] Change \; in \; momentum = 12*5[/tex]
Change in momentum = 60kgm/s.
4.) The diagram to the right is the orbit of a comet:
A) Label the two focal points
B) Label the Perihelion
C) Label the Aphelion
Answer: This is what I found hope it helps
Explanation:
a golf club is swung and strikes a golf ball with a force of 12.2 N. The golf ball accelerates at 265.2 m/s2. Calculate the mass of the golf ball. Show your work and include the correct unit.
Answer:
[tex]0.046\ kg[/tex]
Explanation:
[tex]We\ are\ given\ that,\\Acceleration\ produced\ on\ the\ golf\ ball\ due\ to\ Force\ exerted=265.2\ m/s^2\\Magnitude\ of\ the\ Force\ exerted\ over\ the\ Golf-Ball=12.2\ N\\We\ know\ that,\\'The\ force\ acting\ on\ an\ object\ is\ equivalent\ to\ the\ product\ of\ it's\ mass\\ and\ the\ acceleration\ produced'.\\Or,\\F=ma\\Let\ the\ mass\ of\ the\ golf\ ball\ be\ m,\\Hence,\\12.2=265.2\ m\\m=\frac{12.2}{265.2}=0.046\ kg[/tex]
What’s the answer please?
Answer:
C
Explanation:
Hope this helps!
Why is it that a car traveling in the opposite direction as the car in which you are riding on the freeway often looks like it is moving faster than the speed limit?
pls help i’ll give brainliest if you give a correct answer!!
Answer:
D
Explanation:
The bowling ball has a greater mass, so there's more stuff for gravity to act on. In that sense, gravity is pulling on it more. But it still doesn't fall any faster
Answer:
D: The acceleration of the gold ball will be greater than that of the bowling ball.
Hopefully this is right
Explanation:
The ball is lighter and bowling ball is heavy
Which element has the same number of valence electrons as rubidium.
A. lithium
B. argon
C. calcium
D.iron
Which option correctly matches the chemical formula of a compound with its name?
Answer:
d
Explanation:
the correct chemical formula of a compound with its name is NO₂, Nitrogen Dioxide, the correct option is D.
What is a Chemical compound?The chemical compound is a combination of two or more either similar or dissimilar chemical elements
for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom
The correct chemical formula for nitrogen Dioxide is NO₂
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Plzzz help. Will give branliest.
Why should experiments be replicable?
A. So that the materials used can be validated.
B. So that scientists can gain popularity in the community.
C. So that fewer errors will be made and the data appear to be more correct.
D. So that others can repeat experiment and obtain similar results.
D. So the scientists can repeat the same experiment and get the same or similar results.
Answer:
C
Explanation:
Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor
Answer:
[tex]R=5.2\ \Omega[/tex]
Explanation:
In series combination, the equivalent resistance is given by :
[tex]R_{eq}=R_1+R_2+R_3+...[/tex]
Let the identical resistors be R. We have, [tex]R_{eq}=15.6\ \Omega[/tex]
So,
[tex]R+R+R=15.6\\\\3R=15.6\\\\R=\dfrac{15.6}{3}\\\\R=5.2\ \Omega[/tex]
So, the resistance of each resistor is [tex]5.2\ \Omega[/tex].
Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation
Answer:
Asking a question
Research existing sources
Define an hypothesis
Design and conduct a study
Draw conclusion
Report result.
Explanation:
Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;
Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.
The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.
To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.
Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.
Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.
Round off to the nearest one (units place):
(a) 57.326 57.000
(b) 8.808
(c) 290.752
(d) 1394.301
(e) 434.28
Answer:
a
Explanation:
Answer:
(a) 57
(b) 9
(c) 291
(d) 1394
(e) 434
An 18kg block moving at 6 m/s has kinetic energy of
½ × 18 × 6² = 324 J
hope that helps^^
A student swings a 5.0 Kg pail of water in a vertical circle of radius 1.3m. What is the minimum speed at the top of the circle if the water is not to spill from pail.
Answer:
v = 3.57 m / s
Explanation:
Let's use Newton's second law in the upper part of the circle, with the minimum speed so that the water does not rest on the circle, that is, the normal is zero
W = m a
acceleration is centripetal
a = v² / r
let's substitute
mg = m v² / r
v = [tex]\sqrt{r g }[/tex]
let's calculate
v = [tex]\sqrt{1.3 \ 9.8}[/tex]ra 1.3 9.8
v = 3.57 m / s
What is the kinetic energy of the ball as it is half way through the fall?
What is the name of the relationship between period and frequency?
Answer:
Periodic motion is a repetitious oscillation.
Explanation:
The time for one oscillation is the period T. The number of oscillations per unit time is the frequency f. These quantities are related by f=1T f = 1 T .
difference between the fertility rate and mortality rate of developed and least development countries
3/3 points.
Answer:
The replacement fertility rate is indeed only slightly above 2.0 births per woman for most industrialized countries (2.075 in the UK, for example), but ranges from 2.5 to 3.3 in developing countries because of higher mortality rates, especially child mortality. pls give brainlest
The model shows eight positions of the moon around Earth during the
lunar cycle.
In which positions would a first
quarter moon and last quarter moon
appear to an observer on Earth?
Lunar Cycle
1
Sunlight
First quarter: position 1
Last quarter: position 5
N
8
B
First quarter: position 2
Last quarter: position 6
First quarter: position 3
Last quarter: position 7
اليا
3
CM
Answer: 1-5 so A
Explanation:
if u just look at a diagram of like the moons it says that
The moon changes shape every day the changes in their shape are defined as the moon phase. In positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.
What is the moon phase?The moon changes shape every day. This is due to the fact that the celestial body has no light of its own and can only reflect sunlight.
Only the side of the moon facing the sun can reflect this light and seem bright. On the opposite side appears black is a full moon.
We can only see the black section when it lies between the sun and the earth when a new moon occurs. We witness intermediate phases like a half-moon and crescent in between these two extremes.
The moon changes shape every day the changes in their shape are defined as the moon phase.
In general, we may estimate the third by knowing any two of the following three things
(1) the moon's position in the sky
(2) the moon phase
(3) the time
Hence in positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.
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20.Two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined
Answer:
A
Explanation:
Given that two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined
The formula for kinetic energy is :
K.E = 1/2mv^2
A 2-kg ball moving at 4m/s will have kinetic energy of 1/2 × 2 × 4^2
K.E = 16J
and a 4-kg ball moving at 2m/s will have kinetic energy of 1/2 × 4 × 2^2
K.E = 2 × 4
K.E = 8J
which one has greater kinetic energy? Definitely it is a 2 kg ball moving at 4 m/s. Since 16J is greater than 8J. The correct answer is A.
The energy which we obtained from the moving particle is called kinetic energy. According to the conservation of energy, the energy can neither be created nor be destroyed.
Hence, the formula used in the question is:- [tex]K.E =\frac{1}{2} mv^{2}[/tex] .
A 2-kg ball moving at 4m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 2*4^{2} = 16J[/tex]Therefore, the kinetic energy of the ball moving the 2kg is 16J.
A 4-kg ball moving at 2m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 4*2^{2} = 8J[/tex]
Hence the Kinetic energy of the ball moving the 4 kg is 8J.
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Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.
Answer:
El peso es de 882 newton.
Explicación:
El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.
A bus negotiates a curve of radius 487 m. What force will be exerted on an 80 kg passenger by the outside wall of the bus when it is traveling at 60 km/h?
Answer:
Centrifugal Force = 45.65N
Explanation:
Given the following data;
Mass, m = 80kg
Radius = 487m
Velocity = 60km/h to m/s = 60*1000/3600 = 16.67m/s
To find the centrifugal force;
Centrifugal Force = mv²/r
Substituting into the equation, we have;
Centrifugal Force = 80*16.67²/487
Centrifugal Force = 80*277.89/487
Centrifugal Force = 2223.12/487
Centrifugal Force = 45.65N
please say something i dk which one
Identify the phase and division I or II for the following:
Metaphase II
Metaphase I
Telophase II
Cytokinesis
Answer:
Metaphase II
Explanation:
Metaphase II is the division of two daughter cells and is when sister chromatids line up in the middle of the cell. This is what appears to be happening in the image. Additionally, you can see that the chromosomes have already crossed over.
Metaphase I only involves 1 cell, not 2 daughter cells.
Telophase II and Cytokinesis are when the cell splits. Also, Telophase II would result in 4 daughter cells, not just 2.
emergency plsss is copper stronger than bricks or that's all the way the opposite pls write ur answer clearly n' I will give 15 points and mark brainliest who answers first so hurry up