There will be a maximum of 2n - 1 nodes in a binary tree with n levels. In the case of a binary tree with three levels, the maximum number of nodes is 2^3 - 1 = 7. This implies that the minimum number of nodes in a binary tree with 3 levels is seven (7).
The minimum number of nodes in a binary tree with 3 levels is seven (7).A binary tree is a tree data structure in which each node has no more than two children, which are referred to as the left and right children. The root node is at the top of the binary tree, and each node has a maximum of two child nodes.
The maximum number of nodes on each level is determined by the number of levels in a binary tree.In the first level of a binary tree, there is only one node: the root node. The root node has two children nodes in the second level, and each of those nodes has two children nodes in the third level.
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2269X10-³ m write in scientific notation
2269 × 10-³ m can be written in scientific notation as follows: 2.269 × 10⁰.
What is scientific notation?Scientific notation is a method of writing, or of displaying real numbers as a decimal number between 1 and 10 followed by an integer power of 10.
It is an alternative format of such a decimal number immediately followed by E and an integer.
According to this question, 2269 × 10-³ metres is to be converted to scientific notation. We do this by shifting the decimal place backwards three times to obtain the following;
2.269 × 10⁰
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Complete the following statement: The magnetic field around a current-carrying, circular loop ismost like that of(a) the earth.(b) a short bar magnet.(c) a current-carrying, rectangular loop.(d) a long straight wire that carries a current.(e) two long straight wires that carry currents in opposite directions.
The correct answer is (b) a short bar magnet because the circular loop of current creates a magnetic field that looks similar to the field created by a bar magnet.
The magnetic field around a current-carrying, circular loop is similar to that of a bar magnet because the circular loop acts as a magnetic dipole, with a north and south pole, just like a bar magnet. The magnetic field lines around the circular loop are also circular, just like the field lines around a bar magnet.
The other options, such as a current-carrying, rectangular loop or long straight wire, do not produce a magnetic field that is similar to a bar magnet. Additionally, the strength of the magnetic field is greatest at the center of the circular loop and decreases with distance. This is similar to the field of a bar magnet, where the field is strongest at the poles and diminishes with distance.
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Part Two: Criteria, Constraints, and Prioritizations
1. Choose one sub-problem that you will investigate further and explain which one you chose here.
o
2. List two realistic criteria for the sub-problem.
o
o
3. Explain why it is important for these criteria to be met in order to solve the problem.
o
4. List two constraints for the sub-problem.
o
o
5. Explain why these constraints exist. (How do they limit solutions to the problem?)
o
6. Prioritization of the criteria and constraints and an explanation supporting the decisions made based on research.
PLEASE HELP ME I DONT UNDERSTAND<333
Answer:
Usually, a solution can have several criteria and constraints. Even though all are important, some criteria are more important than others. The same holds true for constraints. But what do you do if it's impossible for a solution to cover every criterion while avoiding every constraint? In cases like this, you can use prioritization. Listing criteria and constraints based on priority shows the relative importance of each. You will need to prioritize the criteria and constraints for each sub-problem so that you can design a solution for each one individually. Prioritization can help you compare two different possible solutions. For example, the criterion that cars travel at 15 mph through the neighborhood might be a higher priority than the constraint that homeowners are only willing to spend $10,000 on this issue. If this is the case, you would want to generate solutions that also follow the priority in mind. All criteria are important, but engineers must sometimes make a trade-off, which is a compromise or change in one or more criteria or constraints so that they can be met at the same time. This is where prioritization comes in handy as it helps determine the trade-offs. A solution that is doing a better job of meeting one criterion may result in not completely meeting another criterion. Prioritization will help you choose which solution to go with.
Explanation:
I got this from quizlet :)
A car of weight 11 000 N moves with constant velocity along a horizontal road. A driving force of 5000 N acts on the car. What is the force opposing the motion of the car?
Answer:
f = 5000 N
Explanation:
Given that,
The weight of a car = 11000 N
Driving force on the car = 5000 N
We need to find the force opposing the motion of the car. The net force on th car is given by :
F-f = ma
As it moves with constant velocity, a = 0
i.e.
F - f = 0
F = f
f = 5000 N
Hence, the opposing force is 5000 N.
A mass is dropped from a height h above the ground, and freely falls under the influence of gravity. Which graphs here correctly describes the displacement and velocity of the object during the time the object is falling? Consider the "up" direction to be positive.
Which graph is it?
Answer:
B
Explanation:
The only force acting on the block is gravity, so the block has a constant, negative acceleration. This means the velocity of the block is decreasing at a constant rate, so the answer is B, D, or E. Velocity is the rate of change of displacement, and answer choice B is the only one that has a displacement graph that matches that idea.
Answer: Graph B here correctly describes the displacement and velocity of the object during the time the object is falling. Option B is correct.
It is given that the mass of an object is dropped from height 'h' above the ground and "up" direction is taken to be positive.
It is required to find the graph which describes the displacement and velocity of the object during the time the object is falling.
Which graphs here correctly describes the displacement and velocity of the object during the time the object is falling?If any body falls freely towards the ground, then its acceleration is decreasing constantly with respect to time. That means velocity of an object will also be decreased as shown in graph B. Also we know that velocity is the rate of change of displacement.
As it is given in question that up direction is positive then it is also considered that downward be negative means decreasing.
Therefore, both the quantities are decreasing. So graph B correctly describes the displacement and velocity of the object during the time the object is falling.
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What is the speed of a wave that has a frequency of 110 Hz and a wavelength
of 0.21 m?
OA. 23.1 m/s
OB. 0.04 m/s
O C. 523 m/s
OD. 0.002 m/s
The speed of the wave of wavelength 0.21 m is 23.1 m/s. And the correct answer is 0A. 23.1 m/s.
How to calculate the speed of a wave?The speed of a wave is calculated by multiplying the wavelength and the frequency of the wave.
To calculate the speed of the wave, we use the formula below.
Formula:
s = λf......................................Equation 1Where:
s = Speed of the waveλ = Wavelength of the wavef = Frequency of the waveFrom the question,
Given:
f = 110 Hzλ = 0.21 mSubstitute these values into equation 1
s = 110×0.21s = 23.1 m/sHence, the speed of the wave is 23.1 m/s.
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Why does sound travel more quickly through a solid than through a liquid or a gas?
Answer:
things move quickly through a liquid
Explanation:
How has the Pandemic impacted fitness or exercise routine?
Hello if you could help me with that one that would be grat anways thanks so much.
Answer:
earlier when there is no pandemic ( corona virus ) then rarely people give time to fitness/ excercise routine. But now, because of pandemic many people give more enthusiasm in fitness . In India we are motivated to do yoga. In this case, our culture has been back u can say. Lot of people startted doing yoga . Because of fitness in this pandemic no one will feel isolated with this u will be healthy .
Explanation:
pls like it ️
True or False. Light is a form of energy.
true or false
ASAP 10 POINTS
IF WRONG I WILL REPORT
trueee...................
Answer:
true
Explanation:
light is a form of energy which is radiation so true:)
Compared to an atom as a whole, an atomic nucleus is.
Answer:
The nucleus is very small compared to the size of the atom.
The radius of the atom is about 100,000 times the radius of the nucleus
Help me in this question it is science
Answer:
13=c
14=a
other question=d
9) How is a vector described? 10) What do we use vectors to describe in physics?
9) A vector describe as a quantity that has both magnitude and direction. 10) We use vectors to describe in physics in physical quantities, including displacement, velocity, acceleration, force, momentum, and torque.
The vector is typically represented by an arrow, with the length of the arrow representing the magnitude of the vector and the direction of the arrow representing the direction of the vector. In addition to the magnitude and direction, vectors also have a starting point and an end point. Vectors can be added together to obtain a resultant vector that represents the sum of the individual vectors. Vectors can also be subtracted, multiplied by a scalar, or divided by a scalar.
For example, displacement is a vector that describes the distance and direction between two points. Velocity is a vector that describes the speed and direction of motion and acceleration is a vector that describes the rate at which velocity changes. Force is a vector that describes the push or pull on an object and momentum is a vector that describes the motion of an object and its resistance to change. Torque is a vector that describes the rotational motion of an object. So therefore vectors are an important tool for physicists because they allow them to describe physical quantities in a way that is both concise and precise.
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Jack pulls a sled across a level field by exerting a force of 120.0 N at an angle of 30.0° with the ground. What are the parallel and perpendicular components, respectively, of this force with respect to the ground?A. 208 N, 120 NB. 120 N, 208 NC. 104 N, 60 ND. 60 N, 104 NE. 69 N, 208 N
The parallel component of the force is found by multiplying the force by the cosine of the angle, which is 120.0 N * cos(30.0°) = 104 N. The perpendicular component is found by multiplying the force by the sine of the angle, which is 120.0 N * sin(30.0°) = 60 N. Therefore, the answer is C. 104 N, 60 N.
To find the parallel and perpendicular components of the force with respect to the ground, we'll use trigonometry. Let F be the total force, θ be the angle, F_parallel be the parallel component, and F_perpendicular be the perpendicular component.
F_parallel = F × cos(θ) = 120 N × cos(30°) = 120 N × 0.866 = 104 N
F_perpendicular = F × sin(θ) = 120 N × sin(30°) = 120 N × 0.5 = 60 N
So, the parallel component is 104 N, and the perpendicular component is 60 N.
The correct answer is C. 104 N, 60 N.
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What are the differences between balloon framing and platform framing? What are the advantages and disadvantages of each? Why has platform faming become the method of choice?
Why is little added fire stopping required in platform framing?
Why is a steel beam or glue-laminated wood beam preferred to a solid wood beam at the foundation level?
Answer:
Difference : Balloon framing go through from foundation to top floor while Platform do not
advantages and disadvantages
Balloon framing : It has less vertical shrinkage ( disadvantage )
platform framing : It has more vertical shrinkage and fire stops ( advantage )
platform framing : It is easier and safer to use
Reason for platform framing :
Due to these advantages Platform framing has become a better choice
Little added fire stopping is required in platform framing because of double tap plate present which can act as as a fire stop
Steel beam/ glue laminated wood beam is preferred at foundation level because wood beam under the ground will most likely shrink over time
Explanation:
Differences : Balloon framing a form of building houses using a special kind of timber construction its studs start from the foundation and go to all the way to the last floor while in Platform framing the studs are interrupted by floor platforms ( i.e. they do not go through like in Balloon framing )
advantages and disadvantages
Balloon framing : It has less vertical shrinkage ( disadvantage )
platform framing : It has more vertical shrinkage and fire stops ( advantage )
platform framing : It is easier and safer to use
Reason for platform framing :
Due to these advantages Platform framing has become a better choice
Little added fire stopping is required in platform framing because of double tap plate present which can act as as a fire stop
Steel beam/ glue laminated wood beam is preferred at foundation level because wood beam under the ground will most likely shrink over time
A ball is put into a cone and made to move at a constant speedof 3.00 m/s in a horizontal circle of radius 0.500 m (Figure 1)A.What is the centripetal component of the ball's acceleration?B.What is the tangential component of its acceleration? C.Use theseinsights to determine the height h at which the ball is circlingabove the bottom of the cone. Hint: This is equivalent todetermining the angle the cone makes with its vertical axis.
The centripetal component of the ball's acceleration is eighteen m/s².
Acceleration is the fee of alternate of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given through the orientation of the net pressure performing on that item.
Calculation:-
A. The centripetal acceleration of the ball is as follows
a = v²/r
= (3.00)²/0.500 m
= 18 m/s²
B. given that there may be no force performing at the ball within the tangential acceleration direction,
The tangential acceleration of the ball is zero.
C. the peak at which the ball is rotating is
tan θ = r/h
rg/v² = r/h
h = v²/g
= (three.00 m/s)²/9.eight
= 0.ninety two m
Acceleration is the price at which velocity modifications with time, in terms of each velocity and course. A component or an object moving in a straight line is accelerated if it accelerates or slows down. motion on a circle is prolonged no matter the reality that the rate is steady due to the fact the path is continually converting.
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A. The expression for the centripetal acceleration of the ball is as follows:
ac = v2 / r
=(3.00 m/s) / 0.500 m
= 18 m/s2
C. The height at which the ball is rotating is as follows:
tan ∅ = r / h
rg / v2 = r/h
=h = v2 / g
=(3.00 m/s)2 / 9.8 m/s2
= 9.2m/s2
The charge of trade of position of an object in any course. Speed is measured by the ratio of distance to the time wherein the space changed into blanketed.
The equation for speed is easy: distance divided by time. You're taking the distance traveled (as an instance three meters), and divide it by the point (3 seconds) to get the speed (one meter in keeping with second)
In case you understand the gap an object travels in a positive quantity of time, the rate of the object. As an example, if a automobile travels 70 miles in one hour, the car is visiting at a speed of 70 miles/hour (miles per hour).
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a powerful motorcycle can accelerate from rest to 26.8 m/s in only 3.90s. how far does it go in that time, in meters? (assume uniform acceleration and give your answer as a number)
A powerful motorcycle can accelerate from rest to 26.8 m/s in only 3.90s. It will go 52.3 m in that time.
According to the Question,
It is given that,
Initial velocity of motorcycle is zero and,
Final velocity is 26.8m/s and,
it's acceleration during a time of 3.90s
Now, The end position is equal to the initial position plus the average velocity times time, according to the formula for average velocity that we plug in here.
In other words, the distance travelled will be equal to 0 meters (the initial position), plus 0 meters per second (the initial velocity), plus 26.8 meters per second (the final velocity), divided by 2 times 3.90 seconds, or 52.3 meters.
Therefore,0+0+26.8/2x3.90=52.3m
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A graph labeled velocity versus time with horizontal axis time (seconds) and vertical axis velocity (meters per second). A blue line runs straight across at 2 units on the vertical axis for all horizontal axis values.
Based on the graph of velocity over time, which could be the initial velocity and the final velocity for this graph?
initial = 0 m/s; final = 2.5 m/s
initial = 2.5 m/s; final = 2.5 m/s
initial = 3.0 m/s; final = 6.0 m/s
initial = 6.0m/s; final = 3.0 m/s
Answer:
B
Explanation:
If you dident pay for the no ad thing its okay all u have to do is answer one person's question every day befor you ask a question no ad's just answers you gotta do it every day tho
Answer:
Second option is correct.
The initial and the final velocity for the graph is
initial=2.5m/s; final=2.5m/s.
Explanation:
In given velocity time graph, the line is horizontal and parallel to the x-axis (time-axis).It means the body is moving at the constant velocity.Its acceleration is zero.Explain Velocity-Time graph?The graph plotted between velocity and time, is called velocity time graph.
by it acceleration can be find out.the area of the graph shows distance travelled.it can be plotted in all the quadrants because velocity is a vector quantity.Hence, second option is correct.
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take some time to play around with the simulation and then answer the following questions: q10: at what position does the skater have the most potential energy? at what position does the skater have the most kinetic energy? q11: how does the magnitude of the maximum kinetic energy of the skater compare to the magnitude of the maximum potential energy of the skater? q12: what do you notice about the relationship between the potential energy, kinetic energy, and total energy in the bar graph while the simulation is running?
The skater has the maximum potential energy at the top of the slope.
Capacity power is the power held with the aid of an object because of its position relative to other gadgets, stresses within itself, its electric charge, or different elements.
Ability strength, stored electricity that depends upon the relative function of numerous parts of a machine. Spring has more potential energy when it's far compressed or stretched.
Capacity electricity is power an item has due to its function relative to some different item. whilst you stand at the pinnacle of a stairwell you have got greater capability power than while you are at the lowest, due to the fact the earth can pull you down thru the pressure of gravity, doing paintings in the procedure.
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When Momentum is conserved it is called ________ .
Answer:
When Momentum is conserved it is called conservation of momentum
Explanation:
When Momentum is conserved it is called ________ .
Answer:-When Momentum is conserved it is called conservation of momentum.
Explanation:-Law of momentum conservation is a physical law that the momentum (total momentum) of a system is invariant unless an external force acts on the system (closed system).
Consider an airplane flying with a velocity of 42 m/s at a standard altitude of 3 km. At a point on the wing, the airflow velocity is 88 m/s. Calculate the pressure at this point. Assume incompressible flow. Given: p _1 =7.01×10^4 N/m^2 and rho=0.909kg/m^3 . The pressure at a point on the wing is ×10 ^4 N/m^2
An airplane is flying with a velocity of 42 m/s at a standard altitude of 3 km. At a point on the wing, the airflow velocity is 88 m/s. The pressure at the point on the wing is \(P = 6.96 * 10^4 N/m^2\).
To calculate the pressure at a point on the wing, we can use Bernoulli's equation, which relates the pressure, velocity, and density of a fluid in steady, incompressible flow.
The equation is as follows:
P + 1/2 * ρ * \(V^2\) = constant
where P is the pressure, ρ is the density of the fluid, and V is the velocity of the fluid.
Given:
\(P_1 = 7.01 * 10^4 N/m^2\) (pressure at standard altitude)
ρ = \(0.909 kg/m^3\) (density of the fluid)
\(V_1 = 42 m/s\) (velocity of the airplane)
\(V_2 = 88 m/s\) (velocity at the point on the wing)
To find the pressure at the point on the wing, we can use Bernoulli's equation for the standard altitude and the point on the wing, and then solve for P:
\(P_1 + 1/2\) * ρ * \(V_1^2\) = \(P + 1/2\) * ρ * \(V_2^2\)
Substituting the given values:
\(7.01 * 10^4 + 1/2 * 0.909 * 42^2 = P + 1/2 * 0.909 * 88^2\)
Simplifying the equation:
\(7.01 × 10^4 + 1/2 * 0.909 * 1764 = P + 1/2 * 0.909 * 7744\)
7.01 × 10^4 + 804.906 = P + 3526.242
\(P + 4329.148 = 7.01 *10^4\)
\(P = 7.01 * 10^4 - 4329.148\)
\(P = 6.96 * 10^4 N/m^2\)
Therefore, the pressure at the point on the wing is \(P = 6.96 * 10^4 N/m^2\)
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Determine how much current will pass through resistance R1 if U(BC)=6V, R1=2 ohms, R2=6 ohms, R3=1 ohm, R4=1 ohm
The current that will pass through resistance R1 if U(BC) = 6V,is 3A when the resistances are as follows: R1=2 ohms, R2=6 ohms, R3=1 ohm, R4=1 ohm.
Given the voltage in the circuit (V) = 6V
The resistance of resistor R1 = 2ohms
The resistance of resistor R2 = 6ohms
The resistance of resistor R3 = 1ohms
The resistance of resistor R4 = 1ohms
As we can see from the diagram given that the resistors R1 and R4 are connected in parallel, which combinedly is connected in series with R2 and then total is connected in parallel with R3.
The current that will pass through resistance R1 can be determined by using Ohm's Law. This law states that the current (I) is equal to the voltage (V) divided by the resistance (R). In this case, the voltage across R1 is the same as the voltage across the circuit (U(BC)), which is 6V. Therefore, the current through R1 is:
I = 6V / 2 ohms = 3A
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What happens to the number of waves when you change the color from green to
violet?
A) increase
B) decrease
C) remain the same
D) there are not any waves present
a 0.505-kg mass suspended from a spring undergoes simple harmonic oscillations with a period of 1.35 s. How much mass, inkilograms, must be added to the object to change the period to2.2 s?
We need to add approximately 0.34 kg of mass to the object to change the period of its simple harmonic oscillations from 1.35 s to 2.2 s.
To solve this problem, we need to use the formula for the period of a simple harmonic oscillator: T = 2π√(m/k), where T is the period, m is the mass, and k is the spring constant. We can rearrange this formula to solve for m: m = (T^2*k)/(4π^2).
Using the given values, we can calculate the mass of the object initially: m1 = (1.35^2*k)/(4π^2). We don't actually need to know the value of k, though, since we're only interested in the change in mass needed to change the period.
Let's call the additional mass we need to add "m2". Then, we can use the same formula with the new period of 2.2 s: m1 + m2 = (2.2^2*k)/(4π^2).
Now we can solve for m2: m2 = (2.2^2*k)/(4π^2) - m1. Plugging in the values we know, we get: m2 = (2.2^2*0.505)/(4π^2) - (1.35^2*0.505)/(4π^2) ≈ 0.34 kg.
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A sledder is moving to the right across unpacked snow and skidding to a stop. Of the forces listed, identify which act upon the sledder
Normal
Friction
Gravity
Tension
Applied
Air Resistance
(More than two)or idk
When A slider is moving to the right across unpacked snow and skidding to a stop, forces act upon the slider are: Normal force, Friction force, Gravity force.
What is force?An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.
The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
When a slider is moving to the right across unpacked snow and skidding to a stop gravitational force due to his weight, normal reaction force and frictional resistance force will act upon the slider.
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In what way is a touch screen similar to a CCD? In what way is it different?
The power supply used in an electric vehicle contains 990 rechargeable cells each of electromotive force (e.m.f.) 1.2V. The cells are contained in packs in which all the cells are in series with each other. The e.m.f. of each pack is 54 V. (a) Calculate the number of packs in the power supply. number of packs = (b) When in use, each pack supplies a current of 3.5 A. (i) Calculate the rate at which each cell is transferring chemical energy to electrical energy. [2] rate of energy transfer= [2] (ii) The packs are connected in parallel to supply a large current to drive the electric vehicle. Explain why it is necessary to use thick wires to carry this current.
(a) There are 22 packs in the power supply.
(b) (i) Each cell is transferring energy at a rate of 4.2 Watts.
(ii) Thick wires are necessary to carry the large current because they have lower resistance compared to thin wires.
(a) To calculate the number of packs in the power supply, we divide the total e.m.f. of the power supply by the e.m.f. of each pack:
The number of packs = Total e.m.f. / e.m.f. of each pack
Total e.m.f. = 990 cells * 1.2 V = 1188 V
Number of packs = 1188 V / 54 V = 22 packs
Therefore, there are 22 packs in the power supply.
(b) (i) To calculate the rate at which each cell is transferring chemical energy to electrical energy, we multiply the current (I) by the e.m.f. of each cell:
Rate of energy transfer = Current * e.m.f. of each cell
Rate of energy transfer = 3.5 A * 1.2 V = 4.2 W
Therefore, each cell is transferring energy at a rate of 4.2 Watts.
(ii) Thick wires are necessary to carry the large current because they have lower resistance compared to thin wires. When a large current flows through a wire, there is a greater amount of electrical energy being transferred, which generates heat due to the resistance of the wire. If the wire has high resistance, it can lead to significant heat dissipation, potentially causing overheating and inefficiencies in the power supply system.
Using thick wires with lower resistance helps to minimize the amount of heat generated and prevents excessive power losses. Thick wires have a larger cross-sectional area, allowing for better current-carrying capacity and reducing resistance. This ensures that the electrical energy is efficiently transmitted to the electric vehicle without excessive power dissipation or voltage drops, thus optimizing the overall performance of the system.
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Which of the following statements about Australian football is TRUE?
A.
The players tend to wear a large amount of padding.
B.
Goals are scored by kicking the ball through goalposts.
C.
Each team has a number of set plays for both offense and defense.
D.
The constant movement of the ball is similar to baseball.
Answer:
B.
Goals are scored by kicking the ball through goalposts.
Explanation:
In anthropological terms, ______ is the means by which a person determines their kin relations over the course of past and future generations.
In anthropological terms, _Kinship_____ is the means by which a person determines their kin relations over the course of past and future generations.
Kinship is the term which anthropologists define kin relations over generations.
Kinship includes blood, marriage, and other social links. It includes people's intricate family links and determines their social status.
Kinship systems help anthropologists analyse family structures, inheritance patterns, marital practises, and societal roles. Genealogies, oral histories, and cultural practises reveal kinship.
Understanding kinship is crucial in anthropological research as it provides insights into social organization, cultural norms, and the transmission of resources, rights, and obligations within a given society. It helps anthropologists understand how people define and navigate family ties, both past and future.
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How do stars serve as evidence for the expansion of the universe and the Big Bang theory?
Answer:
The Doppler red-shift of light observed from distant stars and galaxies gives evidence that the universe is expanding (moving away from a central point). This allows for Big Bang Theory, because after a “bang” occurs all of the matter moves away from the point of origin.
A Lagrangian Point or gravitational dead zone is found between two stars, at a distance RA = 4020 AU from star A and RB = 20100 AU from star B where 1 AU = 149.6 million km. If the mass of star A is 6.8E43 kg, determine the force exerted on star A by star B. Derive and express algebraic solution in terms of givens: Ra Rb, ma and G.
The gravitational force is given by Newton's Law:
\(F=G\frac{mM}{r^2}\)We know that in a lagrangian point the foreces cancel out, then in this case we have:
\(\begin{gathered} -G\frac{mM_A}{r^2_A}+G\frac{mM_B}{r^2_B}=0 \\ -\frac{M_A}{r^2_A}+\frac{M_B}{r^2_B}=0 \end{gathered}\)From which we can find the mass of star B:
\(\begin{gathered} -\frac{M_A}{r^2_A}+\frac{M_B}{r^2_B}=0 \\ \frac{M_B}{r^2_B}=\frac{M_A}{r^2_A} \\ M_B=\frac{r^2_B}{r^2_A}M_A \\ M_B=(\frac{20100}{4020})^2(6.8\times10^{43}) \\ M_B=1.7\times10^{45} \end{gathered}\)Now, that we know the mass of star B we can calculate the force exerted on star A by star B:
\(F=G\frac{M_AM_B}{(r_A+r_B)^2}\)plugging the values given we have:
\(\begin{gathered} F=G\frac{M_AM_B}{(r_A+r_B)^2} \\ F=6.67\times10^{-11}\cdot\frac{(6.8\times10^{43}\cdot1.7\times^{45})}{\lbrack(24120)(1.496\times10^{11})\rbrack^2} \\ F=5.92\times10^{47} \end{gathered}\)Therefore, the force exerted on star A by star B is:
\(F=5.92\times10^{47}\text{ N}\)