Answer:
v = Square Root of StartFraction 2 times K E over m EndFraction.
Explanation:
Kinetic Energy ,K.E = 1/2 × mass × velocity squared
K.E = 1/2 × mv2
Hence v2 = (2× K.E)/m
v = √ 2K.E/m
Expressing it in computer language we have :
v = Square Root of StartFraction 2 times K E over m EndFraction.
Answer:
v = Square Root of StartFraction 2 times K E over m EndFraction
Explanation:
also d on edgenuity:)
Need help with this assignment please
Torque is a measure of the turning force applied to an object about a rotational axis. It is calculated as the product of the force applied to the object and the distance from the axis of rotation at which the force is applied.
How to explain the informationUse the equation slope = mod to calculate the unknown mass (mo) for parcels A and C, setting d = 1.0 m, and parcels G and H, setting d = 1.5 m.
Record all data, tables, and four graphs for analysis.
The experiment demonstrates the application of torque in determining unknown masses and provides valuable insights into the concept of torque in physics.
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27/13 AL + 4/2 He -> ? + 1/On
Please help!!!!!! What’s the missing species???
The missing species of the nuclear reaction obtained is ³⁰₁₅P
How do i determine the missing species?The missing species of the equation can be obtain as follow:
Let the missing species be ʸₓZNow, we can obtain the value of x, y and Z as follow:
²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n
For x
13 + 2 = x + 0
15 = x
x = 15
For y
27 + 4 = y + 1
31 = y + 1
Collect like terms
y = 31 - 1
y = 30
For Z
ʸₓZ => ³⁰₁₅Z
From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have
ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P
Therefore, we can write the complete equation as:
²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n
Thus, the missing species is ³⁰₁₅P
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A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? It will be cut in half. It will double. It will become eight times as large. It will be cut to one-quarter its original size. It will become four times as large.
Answer:
It will be cut in half
Explanation:
The diffraction of a slit is given by the formula
a sin θ = m where
a = width of the slit,
λ = wavelength and
m = integer that determines the order of diffraction.
Next we divide both sides by a, we have
sin θ = m λ / a
Also, recall that
a’ = 2 a
Then we substitute in the previous equation
2asin θ' = m λ, if divide by 2a, we have
sin θ' = (m λ / 2a).
Now again, from the first equation, we said that sin θ = m λ / a, so we substitute
sin θ ’= sin θ / 2
Then we use trigonometry to find the width, we say
tan θ = y / L
Since the angle is small, we then have
tan θ = sin θ / cos θ
tan θ = sin θ, this then means that
sin θ = y / L
we will then substitute
y’ / L = y/L 1/2
y' = y / 2
this means that when the slit width is doubled the pattern width will then be halved
In a light wave, what determines the saturation of the colors of light?
Saturation of colors in light waves is determined by the amplitude or intensity of the light, affecting color vibrancy and purity.
The saturation of colors in a light wave is determined by the amplitude or intensity of the light wave. Saturation refers to the purity or intensity of a specific color, indicating how vibrant or dull the color appears. In the context of light waves, it specifically refers to the degree to which a color appears vivid and free from a mixture of other colors.
The perception of color saturation is closely related to the amplitude of the light wave. Amplitude represents the maximum displacement of particles in the medium through which the wave is propagating. In the case of light waves, the amplitude corresponds to the intensity or brightness of the light. A higher amplitude leads to a more intense light wave, resulting in brighter and more saturated colors.
To understand this concept further, we can consider the RGB color model commonly used in digital displays. In this model, colors are produced by combining varying intensities of red, green, and blue light. The saturation of a particular color is determined by the amplitude of the corresponding light wave. Higher amplitudes result in more intense primary colors and, therefore, greater saturation.
However, it's important to note that color perception is also influenced by factors such as the color spectrum, the human visual system, and individual preferences. Additionally, factors like ambient lighting conditions, color mixing, and color reproduction technologies can affect the perceived saturation of colors.
In summary, the saturation of colors in a light wave is primarily determined by the amplitude or intensity of the light. Higher amplitudes result in more vibrant and saturated colors, while lower amplitudes lead to duller or desaturated colors. However, other factors can also influence color perception, and the specific color model or context may further affect how saturation is perceived.
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answer
prove that p = d g h
Answer:
Proving LHS=RHS
Explanation:
Given
p=dgh
Multiplying by 0 on both sides of the equations
p×0=dgh×0
0=0
:- Hence proved
You’re an astronaut in the first crew of a new space station. The station is shaped like a wheel 22 m in diameter, with essentially all its 5.0×105 kg mass at the rim. When the crew arrives, it will be set rotating at a rate that requires an object at the rim to have radial acceleration g, thereby simulating Earth’s surface gravity. This will be accomplished using two small rockets, each with 100 N thrust, mounted on
the station’s rim. Determine how long to fire the rockets.
The time taken to fire the rocket at the given thrust is 1,382.3 seconds.
What is the centripetal acceleration of the wheel?The centripetal acceleration of the wheel is calculated by applying the following formula.
F = ma
where;
a is the centripetal acceleration of the wheelm is the mass of the wheelF is the thrust or force of the rocketsa = F / m
a = (100 N) / (5 x 10⁵)
a = 2 x 10⁻⁴ m/s²
The velocity of the wheel is calculated as follows;
a = v²/r
where;
r is the radius of the wheel = 11 mv² = ar
v = √ (ar)
v = √ (2 x 10⁻⁴ x 11 )
v = 0.05 m/s
The time of motion of the motion of the rockets at the given speed is calculated as;
v = 2πr / T
T = 2πr / v
T = (2π x 11) / (0.05)
T = 1,382.3 seconds
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#1 - Saturn has a mass of 5.683 x 10^26 kg. One of its moons, Titan, has a
mass of 1.345x10^23 kg. The center of Saturn to the center of Titan is 1.222
x 10^6 m. What is the magnitude of the gravitational force that attracts
Saturn and Titan? Please show work and formula
Answer:
F = G M1 M2 / R^2 attractive force
F = 6.67 * 10E-11 * 5.683 * 10E26 * 1.345 * 10E23 / (1.222 * 106)^2 N
F = 6.67 * 5.683 * 1.345 / 1.493 * 10E26 N = 3.414 * 10E27 N
____ is factual information not subject to bias.
Interpretation
Analysis
Data
Opinion
Answer:
Data
Explanation:
Data is factual information not subject to bias.
This ultimately implies that, data connotes fact, thus, it is an information that is credible, accurate, a statement of truth, evidential and proven.
In Computer programming, a data dictionary can be defined as a centralized collection of information on a specific data such as attributes, names, fields and definitions that are being used in a computer database system.
In a data dictionary, data elements are combined into records, which are meaningful combinations of data elements that are included in data flows or retained in data stores.
This ultimately implies that, a data dictionary found in a computer database system typically contains the records about all the data elements (objects) such as data relationships with other elements, ownership, type, size, primary keys etc. This records are stored and communicated to other data when required or needed.
what is the coefficient of static friction between a mass of 0.75kg and a horizontal surface. if the limiting friction force is 5N and g=10ms
1.47 is the coefficient of static friction between a mass of 0.75kg and a horizontal surface
m=0.75 KG
g=9.8 M/S^2
N=5 N
F=µN
µ=F/N
µ=mg/N
µ=0.75×9.8÷5
µ=1.47
We are physically surrounded with friction. An object moving along a path is resisted by a force known as static friction. Lastly, use an easy example to comprehend it. Think about the activity we perform frequently called walking. We are constantly in contact with the floor while we work. Motion presses against the ground as we move it backward, and we then advance our feet.
One key concept to be aware of in order to minimize friction is the fact that it operates in the opposite direction from relative motion. This phenomena may be useful for reducing the speed of the action until it eventually comes to a stop.
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Non-Contact Forces Portfolio Worksheet - Physical Science
Please!!!
Need Answers!
Non-Contact Forces Portfolio Worksheet Directions: Use this worksheet to record your answers to the three activities that make up the Electromagnetic Induction Portfolio. When you are finished, save this worksheet with your answers and submit it for a portfolio grade.
Designing an Investigation Use what you have learned about designing an investigation and electromagnetic induction to design an investigation.
Portfolio 1
Directions:
1. Read the testable question options below. Choose which testable question you would like to answer with your experiment. Write the testable question you choose.
2. Express the outcome you would expect to see in the form of a hypothesis. Testable Question Options
● Testable Question Option 1: Does the speed at which the magnet moves affect the brightness of the bulb?
● Testable Question Option 2: Does the number of coils affect the brightness of the bulb?
Testable Question:
Hypothesis:
Portfolio 2
Directions:
1. Describe your experimental setup in detail.
2. Identify the independent variable
3. Identify the dependent variable
4. Identify the data being collected
Detailed Description of Experimental Setup:
Independent Variable:
Dependent Variable:
Data to be Collected:
Independent Variable
Dependent Variable
How Results Will Be Analyzed:
Topic Your Thinking Interpret the Data When was the lightbulb the brightest?
When was the lightbulb the dimmest?
Analyze the Data Is there a relationship between the independent and dependent variable?
Draw a Conclusion What general statement can you make about your testable question that would hold true in most cases?
Evaluating an Experimental Design
Portfolio 3
Directions: Complete the table to evaluate the experimental design below. Does their work have all the components of an experiment? Does the experiment meet its goal?
A group of students wanted to prove to someone that electromagnetic induction exists. This person won’t accept anything that the person cannot see. The group designed an investigation to show and prove to the person that electromagnetic induction exists. Question
Evaluation Is there a testable question? Is there an independent variable listed? If so, what is it? Is there a dependent variable listed? If so, what is it? Is there a hypothesis? Is the experiment able to test the hypothesis? Explain Does the setup give enough information for someone to set the experiment up on their own? Are there any suggestions to make this experimental design better
To create an electromagnetic induction portfolio, we will conduct an experiment to demonstrate the phenomenon of electromagnetic induction. The setup which will be used is explained as paragraph below.
What setup will be used to explain the electromagnetic induction portfolio?1. A copper coil will be wound around a cylindrical core made of a non-magnetic material like wood or plastic. The number of turns of the coil will be recorded for future reference.
2. A magnet will be attached to one end of a metal rod, which can be inserted into the center of the coil.
3. A galvanometer will be connected in series with the coil to detect any current flowing through the circuit.
4. A power supply will be used to provide a constant voltage to the circuit.
5. A timer will be used to record the time taken for the magnet to move through the coil.
The independent variable of experiment:The independent variable in this experiment is the speed at which the magnet is moved through the coil. We will vary the speed of the magnet by changing the time taken for it to move through the coil.
The dependent variable of experiment:The dependent variable in this experiment is the voltage induced in the coil. The voltage induced will depend on the speed at which the magnet is moved through the coil.
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6. A 286 kg gold nugget is attached to the ceiling by a spring with a constant of 9500 N/m and
released from a height of 1.70 m above the floor. If the spring stretches 59.0 cm, what is the elastic
potential energy associated with the spring-nugget system?
4764 joule is potential energy associated with the spring-nugget system
Potential energy ,P =mgh
mass= 286 kg
g=9.8 m/s^2
h= 1.70 m
P =mgh
P=×286 kg×9.8×1.70
P=4764 joule
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.
Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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Which of the following statements correctly describes the index of refraction of a material? Select all that apply.
The index of refraction is the ratio of the speed of light in a material to the speed of light in a vacuum.
The index of refraction of a material must be greater than 1.
The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in the material.
The index of refraction of a material must be less than 1.
The index of refraction of water is less than the index of refraction of air.
Answer:
Option C and D only
Explanation:
Option A is incorrect because refractive index of a material is the ratio of speed of light in vacuum to the speed of light in a any given medium
Option B is correct as the speed of light in vacuum is always greater than the speed of light in any given medium.
Option C is correct
Option D is incorrect
Option E is incorrect because the denser the medium the more is the refractive index. Water is denser than air, hence it should have more refractive index as compared to that of air.
Which two elements have similar properties and 8 electrons in their outmost shells?
Answer:
neon and argon
Explanation:
because they are inert gas
The speed of a train increases from 100 km/hr to 250 km/hr in 5 minutes. What is its acceleration?
Answer:30 km/hr2 is the exal
Explanation:
50 POINTS!!!!!!!
Two charged objects are positioned 5 cm away from each other. Describe the change in the force between these two objects when:
(a) the charge on one of the objects is increased
(b) the distance between the objects is increased to 10 cm
(c) the charge on both of the objects is decreased
Please answer all 3
Answer:
A. The shorter the distance the greater the force, so now the force would have increased because they haven't moved away from each other.
B. The force would decrease because they are now further apart.
C. the force wouldn't be as great as before but the force would still be high because they are not far apart from each other.
I hope this helps you( ◜‿◝ )♡
A particle with mass 3×10−2 kg
k
g
and charge +3 μC
μ
C
enters a region of space where there is a magnetic field of 1 T
T
that is perpendicular to the velocity of the particle. When the particle encounters the magnetic field, it experiences an acceleration of 12 m/s2
m
/
s
2
. What is the speed of the particle when it enters the magnetic-field region?
The speed of the particle when it enters the magnetic-field region is 120,000 m/s.
Speed of the particle
Magnetic force on the particle is given as;
F = qvB
where;
q is magnitude of the chargev is speed of the particleB is magnetic field strengthFrom Newton's second law, force on an object is given as;
F = ma
where;
m is mass of the particlea is accelerationma = qvB
v = ma/qB
v = (3 x 10⁻² x 12)/(3 x 10⁻⁶ x 1)
v = 120,000 m/s
Thus, the speed of the particle when it enters the magnetic-field region is 120,000 m/s.
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A 50.0-g
meter stick is balanced at its midpoint ( 50.0 cm
). Then, mass 1=0.200 kg
and mass 2=0.300 kg
are hung with light string from points at 1=20.0 cm
and 2=70.0 cm,
respectively, as shown in the figure. Define the counterclockwise direction to be positive.
Calculate the torque 0,1
acting on the meter stick due to 1,
the torque 0,2
due to 2,
the torque 0,stick
due to the weight of the meter stick, and the torque 0,pivot
due to the pivot, all about an axis pointing out of the screen at the 0.00-cm
point.
The torque 0,1 acting on the meter stick due to 1 is 3.92Nm.
The torque 0,2 acting on the meter stick due to 1 is 20.94Nm.
The torque 0,stick due to weight of meter stick is 2.45Nm.
The torque 0,pivot acting due to pivot is 0.
What is torque?The rotating equivalent of force is torque. The moment of force is another name for it (also abbreviated to moment). It illustrates how a force can cause a change in the body's rotational motion.
The definition of torque is the product of the force's perpendicular component's magnitude and the force's line of action's separation from the point being measured. Torque can also be understood in terms of the law of conservation of energy.
Using the formula:
τ= r × F
where,
τ is the torque,
F is the force and,
r is the distance of the line of action of a force from the point around which torque is being determined.
Substituting the values and solving for torque:
The torque 0,1 acting on the meter stick due to 1 is 3.92Nm.
The torque 0,2 acting on the meter stick due to 1 is 20.94Nm.
The torque 0,stick due to weight of meter stick is 2.45Nm.
The torque 0,pivot acting due to pivot is 0.
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In hiking, what fitness component is required of you
What is magnetic flux linkage im electromagnetic series
Answer:
check the image above please
Answer:
• Magnetic flux linkage is the magnetic flux density multiplied with the area projected perpendicularly or normally to the magnetic field line passing through a coil of 1 turn.
Explanation:
\({ \rm{ \phi =NBA \sin( \gamma) }}\)
N is number of turnsB is magnetic flux densityA is projection areaGamma is angle between coil and field lines.Please help me in this question
Answer:
A. Yes, the force of the engine does work on the car as it makes the car move forward.
B. Yes, the kinetic energy of the car increases as the car gains speed due to the force of the engine.
C. The gravitational potential energy of the car remains constant as the car is moving on a horizontal road, and there is no change in its height.
D. Yes, the tractive force of the engine changes the mechanical energy of the car as it is a type of external force that transfers energy to the car and increases its kinetic energy.
Explanation:
Listed following is a set of statements describing individual stars or characteristics of stars. Match these to the appropriate object category.
a. Red Giant or Supergiant Starts.
b. Main-sequence stars
c. White dwarfs
1. Very cool but very luminous
2. Found in the upper right of the H-R diagram
3. The majority of stars in our galaxy
4. The Sun, for example
5. A very hot and very luminous star
6. not much larger in radius than Earth
7. Very hot but very dim
A red giant is a bright, low or intermediate-mass giant star in the late stages of stellar development. The outer environment is inflated and tenuous, resulting in a vast radius and a surface temperature of 5,000 K or lower.
Planets can be swallowed up by red giants as they grow. In around 5,000 million years, the Sun will reach the red giant stage. During this phase, it will most likely swallow our Solar System's core planets, including Earth.
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How do I find the mass in kg
To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.
The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.
When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.For more questions on mass
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What is the velocity of a dropped object after it has fallen for 12 s?
Hellow!
For this use the next formula:
Vf = Vo + gt
Initial velocity is zero, so the formula simplificate:
Vf = gt
Data:
Vf = Final velocity = ?
g = Gravity = 9.8 m/s²
t = Time = 12 s
Replacing according our data:
Vf = 9.8 m/s² * 12 s
Vf = 117.8 m/s
The final velocity will be 117.8 meters per second.
4. 9.222 m/s5. 5.523 m/s27. Answer: Dv²=85.04v² = 9.2217=19.22228.) Under the influence of some forces, the speedof a 21.325 kg object changed from 6 m/s to a certain speed.If the net work done on the object is 1450 J.Calculate its final speed.1. 13.115 m/s2. 15.634 m/s19.322 m/s4. 7.263 m/s3.5. 21.714 m/s29. Answer: A
By the work energy theorem we know that the net work done on an object is equal to its change in kinetic energy, that is:
\(W=\Delta K\)where
\(K=\frac{1}{2}mv^2\)Then, the work energy theorem can be express as:
\(W=\frac{1}{2}mv_f^2-\frac{1}{2}mv_0^2\)In this case we know that the work done is 1450 J, that the mass is 21.325 kg and the initial velocity is 6 m/s; plugging these values and solving for the final velocity we have:
\(\begin{gathered} \frac{1}{2}(21.325)v_f^2-\frac{1}{2}(21.325)(6)^2=1450 \\ \frac{1}{2}(21.325)v_f^2=1450+\frac{1}{2}(21.325)(6)^2 \\ v_f^2=\frac{2}{21.325}(1450+\frac{1}{2}(21.325)(6)^2) \\ v_f=\sqrt{\frac{2}{21.325}(1450+\frac{1}{2}(21.325)(6)^2)} \\ v_f=13.115 \end{gathered}\)Therefore, the final velocity is 13.115 m/s and the correct option is A.
the elephant weighs 20,000 n stands on one foot of area 1000 cm square how much pressure would it exert on the ground
How much pressure it would exert on the ground.
Solution:\( \frac{1000}{100 \times 100} \: {m}^{2} \)
\( = 0.1 \: {m}^{2} \)
\(P = \frac{F}{A} \)
\(P = \frac{20000 \: N}{0.1 \: {m}^{2} } \)
\(\large\boxed{\sf{P = 200000N /m^2}}\)
Hence, the pressure exerted on the ground is \(200000 \: N /m^2\)
Pressure = Force/Area
Pressure = 20,000/0.1
Pressure = 200000 N/m²
Hence,Pressure would it exert on the ground is 200000 N/m²Extra Information :-S.I unit of Pressure is N/m²(Pascal)1000m = 1km1m = 100cmS.I unit of Force is NewtonS.I unit of Area is m²Which of the following statements about random assignment is true?
•It works best with a larger number of participants because there is more opportunity for extraneous variables to be equally distributed to each group.
• It works best with a smaller number of participants because fewer participants means there will be fewer opportunities for extraneous variables to confound the results of a study.
• It is the only control technique that explicitly controls for extraneous variables.
• It is the only control technique that produces a sample that is representative of the population.
The following statements about random assignment is true:
It works best with a larger number of participants because there is more opportunity for extraneous variables to be equally distributed to each group.
Random assignment is a technique used in research studies to assign participants to different groups or conditions. Its purpose is to create equivalent groups, ensuring that any differences in the outcomes can be attributed to the treatment or intervention being studied rather than other factors. The statement that is true about random assignment is that it works best with a larger number of participants because there is more opportunity for extraneous variables to be equally distributed to each group.When the number of participants is larger, the random assignment process becomes more effective in creating groups that are balanced and representative of the population. This is because with a larger sample size, there is a greater chance that random assignment will distribute extraneous variables evenly across the groups. As a result, the groups are more likely to be comparable in terms of their characteristics and any potential confounding variablesOn the other hand, when the number of participants is smaller, there is a higher risk that random assignment may not effectively distribute the extraneous variables equally across the groups. This increases the potential for confounding variables to influence the outcomes of the study, limiting the validity and reliability of the results.While random assignment is an important control technique in research, it is not the only technique available. There are other control techniques such as matching, blocking, and stratification that can also be used to control for extraneous variables. Additionally, random assignment does not guarantee a sample that is representative of the population as it is focused on creating equivalent groups rather than representing the entire population.For more such questions on Random assignment, click on:
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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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if you sit on the edge of a very light table, it is likely the table will topple over. explain?
Answer:
This question heavily relies on the weight of the table and the weight of the person sitting on it, if a 90 pound person sits on the side of a 40 pound table, it will topple over.
Explanation: Tables are generally have a 50/50 weight distribution ratio so that they are even on the ground and can stay upright, but if a table is too light and the person or object sitting on it is heavier than the side they/it is placed on, it will fall.
Which diagram models the position of a soccer ball when it has the greatest amount of gravitational potential energy?
Answer:
C
Explanation:
Diagram C is the correct answer, because the ball is at the point with the highest height relative to the ground, in this way all the kinetic energy has been transformed into potential energy.
We must remember that potential energy is defined as the product of mass by gravity by height
Ep = m*g*h
where:
m = mass [kg]
g = gravity acceleration [m/s²]
h = elevation [m]
So when we have a great value for h in the above equation, we will have a big value for potential energy.