Answer:
a
Explanation:
i took the test
Five workers from the same factory developed angiosarcoma, a rare cancer of the veins and arteries. This is observation of the scientific method.
What is scientific method?Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.
It entails developing hypotheses through induction based on these observations, testing the validity of those hypotheses through experimental and measurement-based statistical testing of the inferences made from them, and then fine-tuning (or discarding) those hypotheses in light of the experimental results.
These are the guiding principles of the scientific process, as opposed to a predetermined set of steps that apply to all scientific endeavors.
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calculate the distance travelled by a car moving with 40 m/s velocity in 2 hours
Answer:
14,400m
Explanation:
The formula for calculating speed is S=D/T.
S=speed( in meters per second- m/s)
D=distance(in meters)
T=time( in seconds)
For our case:
S=40m/s
D=?
Time=2 hours=60min x 60 sec=3600seconds
Now make D the subject.
D=S x T
D=4m/s x 3600s=14,400m
Therefore our answer is
14 400 m or 14.4 km
how much does it cost to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/kwh?
It will cost 0.324 Dollars to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/ kwh.
kwh is commercial unit of electric energy. 1 unit= 1 kwh.
When 100 w power device is run for 1 hour, the amount of electrical energy consumed is 1 kwh.
We will find total units of electrical energy consumed in the given question.
energy consumed by 6 bulbs = 6×100= 600 w( joules per second).
The value in kwh is = 600÷1000
= 0.6kwh
Total energy consumed in 6 hours is = 0.6×6 = 3.6 kwh
So, the cost is = 3.6×0.09 = 0.324 dollars.
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Science 30 points please help Newton’s law of universal gravitation states that every object in the universe attracts every other object. true or false
Answer:False
Explanation:False
False if the univers out there does not have gravity and everything just floats how will it attract thinks if with out gravity it does not have a pull or push forse without a magnet so only now can gravity pull but in the universe it cant
It is important to keep in mind that in more complex circuits, say with 3 more elements, not every element is necessarily connected in series or in parallel with other elements
T/F
True, in more complex circuits with 3 or more elements, not every element is necessarily connected in series or in parallel with other elements.
In such circuits, various combinations of series and parallel connections can exist, leading to different electrical properties and behaviors. These complex circuits can include components such as resistors, capacitors, inductors, and switches.
To analyze these circuits, one must apply principles like Ohm's Law, Kirchhoff's Laws, and other circuit analysis techniques.
Understanding these connections and their implications on the overall circuit functionality is essential for accurate analysis and design of electronic devices and systems.
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3) a boat can travel 2.30 m/s in still water. (a) if the boat points its prow directly across a stream whose current is 1.20 m/s, what is the velocity of the boat relative to the shore? (b) what will be the position of the boat on the other side of the river if the river is 500 m wide?
(a)Velocity of boat relative to the shore is 2.93m/s
(b)Position of the boat will be 13800m down stream
The velocity of boat in still water=2.3m/s
velocity of water=1.2m/s
(a) Velocity of boat relative to the shore=?
the velocity of boat when crossing the river will be towards the North direction
While the velocity of the water in the flowing river would be in East direction
Since the boat is going across the river and the river is flowing in East direction with respect to the boat it will increase the velocity of the boat.
To calculate the velocity of the boat we use Vector addition
We know that the two vectors are perpendicular to each other
Resultant vector=\((v1)^{2}\)+\((v2)^{2}\)
Let the resultant vector be R
\(R^{2}\)=\((2.3)^{2}\)+\((1.2)^{2}\)
\(R^{2}\)=5.29+1.44
\(R^{2}\)=6.73
R=\(\sqrt{6.73}\)
R=2.93m/s
Thus,
Velocity of boat relative to the shore is 2.93m/s
(b) width of the river=500m
Then position of boat=?
Formula used:
Time =Speed x distance-(i)
Where
Speed is the velocity of boat in still water
Distance is the width of the river
Since here the distance traveled is the width of the river from one shore to the other thus the velocity used will be that of the boat in still water. One would assume to use the resultant velocity instead but that would not lead to the correct solution as the resultant velocity is the velocity with which the boat covers the diagonal distance between the two shores.
putting values in the equation (i)
2.3=500/t (where t represents the time taken to cross the river)
cross multiplying both sides
t=500x2.3
t=500x23/10
t=1150s
Distance =av Speed x Time
Distance= 1.2 x1150
Distance= 13800m
Position of the boat will be 13800m down stream
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what plate separation is required if the capacitance is to be 1580 pf ? assume that the space between the plates is filled with air? (dielectric constant for air is 1.00059).
To calculate the plate separation for a capacitance of 1580 pF, you need to use the formula C = εA/. Without knowing the area of the plates, we cannot calculate the exact value of d
The required plate separation for a capacitance of 1580 pf can be calculated using the formula for capacitance:
C = ε₀ * A / d where C is the capacitance, ε₀ is the permittivity of free space (8.85 *\(10^{-12 }\) F/m), A is the area of the plates, and d is the plate separation. Rearranging the formula to solve for d, we get:
d = ε₀ * A / C
Plugging in the values for C, ε₀, and the dielectric constant for air (which we will denote as k), we get:
d = (\(8.85 * 10^{-12}\)F/m) * (1.00059) * A / (1580 *\(10^{-12 }\)F)
Simplifying, we get: d = (8.85 * 1.00059 * A) / 1580
Finally, we can solve for d to get the required plate separation:
d = \(5.604 * 10^{-9} * A\)
Without knowing the area of the plates, we cannot calculate the exact value of d. However, this formula shows the relationship between the plate separation, capacitance, and area of the plates.
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Tom pulls a muscle. He has to stop working to get an ice pack. Claudia continues to work and soon finishes her pile.
Power is the rate of doing work. It's calculated by dividing work by time (power = work = time). Who had more power in
this scenario? Why?
Answer:
Tom
Explanation:
if for example both their work is 40 and Tom stops working after 2 hours but Claudia continues and stops after 3 hours when you divide their work by their time Claudia will get a lower number of power.
(in your explanation maybe use different numbers based on you book or notes)
Answer:
Claudia had more power. She did more work than Tom, and she did it in less time.
Explanation:
sample answer on edmentum. maybe change it up. hope this helps:)
if the rock takes 0.34 s to cross the 2.2- m -high glass door, from what height above the top of the door was it dropped? express your answer to two significant figures and include the appropriate units.
The rock was dropped from a height of 2.2 m above the top of the door.
What is rock?Rock is a natural and solid material made up of minerals and other substances. It is typically found in mountainous areas, deserts, and other areas where the Earth's crust is exposed. It is composed of different minerals which give it its hardness and durability. Rock is used in numerous construction projects and other applications. It provides a strong foundation for structures and is used in construction, landscaping, and even in art.
The equation used to solve this problem is s = vt, where s is the distance, v is the velocity, and t is the time.
The velocity of the rock is found by rearranging the equation to v = s/t, so v = 2.2 m / 0.34 s = 6.47 m/s.
The initial height of the rock is found by rearranging the equation to s = vt to s = 6.47 m/s * 0.34 s = 2.2 m.
Therefore, the rock was dropped from a height of 2.2 m above the top of the door. Expressed to two significant figures, this is 2.2 m.
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Newton's Second Law states
1. an object's acceleration is proportional to its mass and to the net force acting on it.
2. an object's acceleration is inversely proportional to its mass and proportional to the net force acting on it.
3. an object's acceleration is inversely proportional to its mass and to the net force acting on it.
4. force, mass, and acceleration have no relation.
The correct statement of Newton's Second Law is: An object's acceleration is inversely proportional to its mass and proportional to the net force acting on it.
What is Newton's Second Law?Newton's Second Law of Motion states that the force acting on an object is directly proportional to the mass of the object and its acceleration. In other words, the greater the force applied to an object, the greater its acceleration, and the greater the object's mass, the less it will accelerate for a given force.
This law is often expressed mathematically as F = ma, where F is the force applied to an object, m is the object's mass, and a is its acceleration.
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The Moon contains approximately 7.35 x 10^22 kg of mass. This unit of mass does not have direction which makes it a _____
A. Direction
B. Magnitude
C. Scalar
D. Vector
applying newton's second law gives the equation ma = f
Newton's Second Law of Motion states that the net force acting on an object is directly proportional to its acceleration. The proportionality constant, which is the object's mass, gives the equation ma = f (force equals mass times acceleration). This means that if a force is applied to an object with a certain mass, it will accelerate proportionally to the magnitude of the force.
Applying Newton's Second Law of Motion allows us to determine the force required to move an object of a certain mass a certain distance. We can also use it to calculate the acceleration of an object given its mass and the force acting on it. The second law states that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. If the mass of the object remains constant, the acceleration produced is directly proportional to the force applied.
The second law also tells us that if a net force is acting on an object, it will accelerate in the direction of that force. This law can be used to explain the motion of objects in both linear and rotational motion. For example, when a bat hits a ball, the force of the bat on the ball causes it to accelerate, and the ball moves in the direction of that force. In summary, applying Newton's Second Law of Motion is a powerful tool for understanding the motion of objects and how they respond to forces acting on them.
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Explain what happens to an atom when the number of protons neutrons or electrons changes while the number of the other two particles remain the same
Answer: oxidizes or reduces
Explanation: When you change the number of protons in an atom, you will change the atom from one element to a different element.
Think about this hypothetical (not real) situation: Scientist discovered 2 new planets- Planet 11 and Planet Will. Both planets have the exact same diameter. However, Planet 11 has a MUCH stronger force of gravity. What can you infer about the relative MASS of each planet? Explain your answer.
Please answer in a full paragraph! :)
Based on the information provided, if Planet 11 has a much stronger force of gravity than Planet Will, we can infer that Planet 11 has a greater mass than Planet Will. This is because the force of gravity is directly proportional to the mass of an object. A planet with a greater mass will exert a stronger gravitational force on objects within its vicinity than a planet with a lower mass, assuming the two planets have the same diameter.
This relationship can be explained by the law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, if Planet 11 has a stronger gravitational force than Planet Will, it must have a greater mass, assuming that the distance between the two planets is the same.
In summary, the stronger force of gravity on Planet 11 compared to Planet Will implies that Planet 11 has a greater mass than Planet Will.
The type of asteroid that would appear darkest and reflect the least light is type:
A) A.
B) B.
C) C.
D) D.
E) S.
The type of asteroid that would appear darkest and reflect the least light is type option E) S.
Among the given options, type E) S asteroids would appear darkest and reflect the least amount of light. Asteroids are classified into different types based on their composition, and type S asteroids belong to the silicate group. They are made up of rocky materials, such as silicates and metals, and they tend to have a relatively low albedo.
Albedo refers to the amount of light an object reflects, and a low albedo means that the object absorbs more light than it reflects. As a result, type S asteroids appear darker because they absorb a significant portion of the incident light rather than reflecting it. Their dark appearance is due to their composition and surface properties.
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Most ozone is found in a region of Earth’s
atmosphere between 10 and 20 miles above
Earth’s surface. This temperature zone of the
atmosphere is known as the
(1) thermosphere (3) stratosphere
(2) mesosphere (4) troposphere
Answer:
It’s stratosphere
Explanation:
Most ozone is found in a region of Earth’s atmosphere between 10 and 20 miles above Earth’s surface. This temperature zone of the atmosphere is known as the stratosphere.
What is ozone?Ozone is an allotrope of oxygen. It is blue in color and it is found in Earth's atmosphere. It protects the Earth from ultraviolet rays from the Sun.
Most ozone is found in the following layer of the Earth's atmosphere:The ozone subcaste is centered at an altitude between 10-15 country miles (15-25 km). Close to 90% of the ozone found in the atmosphere is in the stratosphere. Ozone that is found in this region is about 10 parts per million by volume (ppmv) to the troposphere's 0.04 ppmv.
Therefore, we have determined that Most ozone is found in a region of Earth’s atmosphere between 10 and 20 miles above Earth’s surface. This temperature zone of the atmosphere is known as the stratosphere.
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What is the approximate latitude and longitude or location A
Answer:
latitude = 44.326859 and longitude = -71.213783
Explanation:
latitude = 44.326859 and longitude = -71.213783
A ball is falling at terminal velocity. Terminal velocity occurs when the ball is in equilibrium and the forces are balanced. Which free body diagram shows the ball falling at terminal velocity? A free body diagram with one force pointing downward labeled F Subscript g Baseline 20 N. A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N. A free body diagram with 2 forces. The first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 5 N. A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 30 N.
Answer:
A free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N.
Explanation:
This is because at terminal velocity, the ball stops accelerating and the net force on the ball is zero. For the net force to be zero, equal and opposite forces must act on the ball, so that their resultant force is zero. That is F₁ + F₂ = 0 ⇒ F₁ = -F₂
Since F₁ = 20 N, then F₂ = -F₁ = -20 N
So, if F₁ points upwards since it is positive, then F₂ points downwards since it is negative.
So, a free body diagram with 2 forces: the first pointing downward labeled F Subscript g Baseline 20 N and the second pointing upward labeled F Subscript air Baseline 20 N best describes the ball falling at terminal velocity.
Answer:
b
Explanation:
In red shift, the wavelengths of light become?
Answer:
Explanation:god is good because the god is what it stays
god is good because the god is what it staysgod is good because the god is what it staysgod is good because the god is what it stays
A box with mass of 2 kg is pushed directly horizontally over a horizontal surface (with friction) at a constant speed of 10 m/s. The force of the push is 60 N. How much thermal energy is generated pushing the box a distance of 15 m
Answer:
E= 600 W
Explanation:
Given that
m = 2 kg
Speed , v= 10 m/s
Force , F= 60 N
Given that box is moving with constant velocity, it means that friction force will be 60 N.
f = 60 N
Therefore total energy generated
E= f x v
E= 60 x 10 = 600 W
E= 600 W
Thus the answer will be 600 W.
A boy is pulling his two sisters on a sled.
If one sister weigh 30.0 kg, the other
weights 40.0 kg, and the coefficient of
kinetic friction is 0.120, how much force
is required to pull the sled?
[?] N
Answer:
Explanation:
The oly way we can figure this out is if the boy is pulling the sled at a constant velocity. If not, we need a value for acceleration, and you don't have that here. If the boy is pulling the sled at a constant velocity, then the value for acceleration is 0, making this a really simple problem. I'm going with that, since there is no way to answer you otherwise. If velocity is not constant, please either repost the question or put it in the notes section under the question as it stands. If acceleration is 0, then
F - f = ma becomes
F - f = m(0) which is
F - f = 0 and
F = f which says that the applied force is the same as the frictional force. We need then to find the frictional force, which has an equation of
f = μ\(F_n\) where normal force is the same as the weight of the 2 girls. We will find that, then:
Each girl's mass is different so the normal force/weight equation is
w = (30.0)(9.8) + (40.0)(9.8) to get
w = 290 + 390 and
w = 680. Plug that into the frictional force equation:
f = (.120)(680) so
f = 82N
a basketball rolling across a flat floor has___ energy. PLZ HELP
Answer:
kinetic energy
Explanation:
I know the answer because Im built differen
The vine has a fixed end, so Tarzan's path is circular. So the vine must not only support Tarzan's weight (or some component of it) but must also provide centripetal force to curve Tarzan's velocity. At Tarzan's lowest point, this can be expressed as:_________.
Answer: hello your question lacks some data attached below is the missing data
answer : T - mg = ma\(_{c}\)
Explanation:
Given that the vine has a fixed end and Tarzan's path is circular
At Tarzans lowest point the point can be expressed as shown below.
It can be expressed as : T - mg = ma\(_{c}\)
A traffic light controller chip has an area utilization of 50 mm 2
. The critical path of the chip is 0.002μ and it operates with V DD
of 0.9 V. During operation, the chip has average switching capacitance of 500pF/mm 2
and average activity factor (α Y
) of 15/64. Assume the sub-threshold and gate leakage currents are 584 mA and 275 mA, respectively. Based on the information provided, evaluate the following: [Satu cip pengawal lampu isyarat mempunyai penggunaan kawasan sebanyak 50 mm 2
. Laluan kritikal bagi cip tersebut adalah 0.002μ s dan ia beroperasi dengan V DD
sebanyak 0.9 V. Semasa beroperasi, cip tersebut mempunyai purata kemualan pensuisan 500pF/mm 2
dan purata faktor aktiviti (ay) bagi cip tersebut adalah 15/64. Andaikan arus sub-ambang dan arus bocoran get ialah masing-masing 584 mA dan 275 mA. Berdasarkan maklumat yang diberikan, nilaikan yang berilat:] (i) Chip's operating frequency. [Frekuensi operasi cip.] (2 Marks/ Markah) (ii) Static power. [Kuasa statik] (2 Marks/ Markah) (iii) Dynamic power. [Kuasa dinamik.] (2 Marks/ Markah) (iv) Total power dissipation
The traffic light controller chip has an operating frequency of 500 MHz, static power consumption of 26.28 mW, dynamic power consumption of 1.70625 mW, and a total power dissipation of 27.98625 mW.
(i) To calculate the chip's operating frequency, we need to find the inverse of the critical path delay. Given that the critical path of the chip is 0.002μs, the operating frequency can be calculated as:
Operating Frequency = 1 / Critical Path Delay
= 1 / 0.002μs
= 500 MHz
Therefore, the chip's operating frequency is 500 MHz.
(ii) Static power refers to the power dissipated by a chip when it is in a static or idle state. It is independent of the switching activity. The static power consumption can be calculated as the product of the chip's area utilization, sub-threshold leakage current, and supply voltage:
Static Power = Area Utilization × Sub-threshold Leakage Current × Supply Voltage
= 50 mm^2 × 584 mA × 0.9 V
= 26.28 mW
Therefore, the static power of the chip is 26.28 mW.
(iii) Dynamic power refers to the power dissipated by a chip due to the switching activity of its transistors. It can be calculated as the product of the chip's switching capacitance, activity factor, and the square of the supply voltage:
Dynamic Power = Switching Capacitance × Activity Factor × Supply Voltage^2
= 500 pF/mm^2 × 15/64 × (0.9 V)^2
= 1.70625 mW
Therefore, the dynamic power of the chip is 1.70625 mW.
(iv) Total power dissipation is the sum of static power and dynamic power. Hence, the total power dissipation of the chip can be calculated as:
Total Power Dissipation = Static Power + Dynamic Power
= 26.28 mW + 1.70625 mW
= 27.98625 mW
Therefore, the total power dissipation of the chip is 27.98625 mW.
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in order for LeBron James to score a slam-dunk what must he exert?
A student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s2, what is the weight of the object?
25 Kg
250 Kg
250 N
25 N
Answer:
250N
Explanation:
w = mg
m=25
g = 10
w=25x10
w=250
If a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s², then the weight of the object would be 250 N , therefore the correct answer is option C.
What is gravity?It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.
As given in the problem, a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s2,
The weight of the object = 25 × 10
= 250 N
Thus, the weight of the object would be 250 N , therefore the correct answer is option C.
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consider a si p -n junction with nd = 2 × 1015 cm-3, area = 0.005 cm2. calculate the capacitance at a reverse bias of 1, 5, and 10 v.
The capacitance of a silicon p-n junction can be calculated using the formula C = (εA)/(d), where C is the capacitance, ε is the permittivity of silicon, A is the area of the junction, and d is the width of the depletion region.
Given:
nd = 2 × 10^15 cm^-3
Area (A) = 0.005 cm^2
Reverse bias voltage (V) = 1 V, 5 V, 10 V
To calculate the capacitance, we need to determine the width of the depletion region (d). The depletion region width can be approximated using the equation d = sqrt((2εV)/(e·nd)), where e is the elementary charge.
Using the given values and the formula, we can calculate the capacitance at each reverse bias voltage by substituting the values of d and A into the capacitance formula.
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A hand-driven tire pump has a piston with a 2.1 cm diameter and a maximum stroke of 38 cm.
(a) How much work do you do in one stroke if the average gauge pressure is 2.6×10^5 N/m2 (about 35 psi)? (b) What average force do you exert on the piston, neglecting friction and gravitational force?
The work done in one stroke is 96.5 joules and the average force exerted on the piston, neglecting friction and gravitational force, is 86.6 Newtons.
(a) To find the work done in one stroke of the hand-driven tire pump, we need to calculate the volume of air displaced by the piston, which can be found using the formula V = πr^2h, where r is the radius of the piston (which is half the diameter), h is the stroke length, and π is a constant.
So, the volume of air displaced in one stroke is V = π(2.1/2)^2(38) = 469.8 cm^3.
Next, we can calculate the work done using the formula W = Fd, where F is the force exerted on the piston and d is the distance traveled by the piston. Since the force is equal to the gauge pressure multiplied by the area of the piston, we have:
W = (2.6×10^5 N/m^2) × π(2.1/2)^2 × 0.38 m = 96.5 J
(b) To find the average force exerted on the piston, we can rearrange the formula F = PA to solve for F, where P is the gauge pressure and A is the area of the piston. Thus:
F = PA = (2.6×10^5 N/m^2) × π(2.1/2)^2 = 86.6 N
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The work done in one stroke is approximately 34.8 Joules.
The average force exerted on the piston is approximately 89.9 Newtons.
How to solve for the work done(a) The work done is given by the formula:
css
Copy code
W = P * V
where P is the pressure and V is the volume.
The volume of a cylinder (which is the shape of the piston) is given by:
V = π * r² * h
where r is the radius of the base of the cylinder (half the diameter) and h is the height of the cylinder (or the stroke). Here, r = 1.05 cm = 0.0105 m and h = 38 cm = 0.38 m.
Let's calculate the volume first:
V = π * (0.0105 m)² * (0.38 m) = 0.000134 m³
Now we can calculate the work:
W = (2.6×10^5 N/m²) * (0.000134 m³) = 34.8 J
So, the work done in one stroke is approximately 34.8 Joules.
(b) The average force exerted on the piston is given by the formula:
F = P * A
where P is the pressure and A is the area of the base of the piston. The area of a circle is given by:
A = π * r²
So,
A = π * (0.0105 m)² = 0.000346 m²
Now we can calculate the force:
F = (2.6×10^5 N/m²) * (0.000346 m²) = 89.9 N
So, the average force exerted on the piston is approximately 89.9 Newtons.
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Which diagram has a greater gravitational force
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.
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a baryon is composed of three quarks. it can be made from a total of six possible quarks, each in three possible colors, and each with a spin-up or spin-down. from this information, how many possible baryons can be made?
a baryon is composed of three quarks. It can be made from a total of six possible quarks, each in three possible colors, and each with a spin-up or spin-down. From this information, we need to determine how many possible baryons can be made.
Now, let us find the solution to this problem in the following In general, there are six types of quarks, and each of them can appear in one of three possible colors (red, green, and blue) and each with a spin-up or spin-down. Now, we need to find how many ways there are to choose three quarks from the six possible quarks. We can use the following combinatorics formula to determine this: nCr = n! / r! (n - r)!Where n is the total number of quarks, and r is the number of quarks we want to choose. Therefore, we have: n = 6 r = 3nCr = 6C3 = 6! / (3! * (6 - 3)!) = (6 * 5 * 4) / (3 * 2 * 1) = 20So, there are 20 ways to choose three quarks from the six possible quarks.
Now, let's consider the other two properties of the quarks, namely, their color and spin.Each quark can appear in one of three possible colors. Therefore, there are 3 × 3 × 3 = 27 ways to choose the colors of the three quarks.Each quark can have either spin-up or spin-down. Therefore, there are 2 × 2 × 2 = 8 ways to choose the spins of the three quarks.Therefore, the total number of possible baryons is:20 × 27 × 8 = 4320Explanation:We have used combinatorics formula nCr = n! / r! (n - r)! to determine the number of ways to choose three quarks from the six possible quarks.
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