Helen is administering an intelligence test to children to determine if they have a learning disorder. She should be sure to use age-appropriate and validated assessment tools.
When administering an intelligence test to children, it is essential for Helen to use assessment tools that are specifically designed and validated for their age group. Intelligence tests are developed with consideration for the cognitive abilities and developmental stages of different age ranges. By utilizing age-appropriate assessment tools, Helen can ensure that the test items and scoring criteria are suitable for the children's cognitive capacities.
In addition, using validated assessment tools is crucial to ensure the reliability and validity of the test results. Validated tests have undergone rigorous research and validation studies to establish their accuracy and effectiveness in measuring intelligence. These tests have normative data and standardized procedures, allowing for meaningful interpretation of the results and comparison to a representative sample of the population.
Helen's choice of age-appropriate and validated assessment tools is essential for accurately assessing children's intelligence and identifying potential learning disorders. Using such tools increases the reliability and validity of the results, providing a solid foundation for diagnostic decisions. Additionally, it ensures that the assessment is fair and equitable, as it takes into account the developmental characteristics and cognitive abilities of the children being tested.
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Explain why stationary waves are seen only certain frequencies (3 marks)
Explanation:
The underlying physics give rise to periodic behavior. Usually, some resonance is involved, in which the media damps waves except those at a specific frequency.
__
Only waves at a specific frequency are recognized as being "stationary." If the frequency varies, the behavior is described as "chaotic." So, it's partly a matter of definition.
Experiment 1: Exploring Charge with Scotch® Tape
In this experiment, you will observe the behavior of charged objects using pieces of Scotch® tape.
Materials
Scotch® Tape
Ruler
*Pen
*Flat Work Surface
Procedure
Part 1
1. Use the ruler to measure a piece of tape that is 10 cm long.
2. Tear the tape to remove the 10 cm piece from the roll.
3. Create a "handle" on one side of the piece of tape by folding down the piece of tape 1 cm from the end, leaving a 9 cm sticky piece with a 1 cm handle.
4. Stick the entire sticky surface of the tape to a table top, counter top, or another flat surface.
5. Repeat Steps 1 – 4 with a second 10 cm piece of tape. Stick the second piece of tape at least 15 cm away from the first piece on the same surface.
6. Quickly pull off both strips of tape from the surface and ensure that the pieces do not touch.
7. Carefully bring the non-sticky sides of the tape together and record observations about the behavior of the pieces in Table 1.
8. Discard the tape.
Part 2
1. Use the ruler to measure a piece of tape that is 10 cm long.
2. Tear the tape to remove the 10 cm piece from the roll.
3. Create a "handle" on one side of the piece of tape by folding down 1 cm of tape from one end.
4. Stick the entire sticky surface of the tape to a table top, counter top, or another flat surface.
5. Use a pen and write "B1" on the tape. "B" stands for bottom.
6. Repeat Steps 1 – 4 with a second 10 cm piece of tape. This time, press the second strip of tape on top of the one labeled "B1".
7. Use the pen to label the top piece with a "T1". "T" stands for top.
8. Create a second pair of pieces of tape by repeating Steps 1 – 7. This time, label the bottom piece "B2" and the top piece "T2".
9. Use the T1 handle to quickly pull off T1 strip of tape from the flat surface.
10. Use the B1 handle to peel off the bottom strip from the flat surface. Keep both B1 and T1 pieces away from each other.
11. Bring the non-sticky sides of B1 and T1 together and record observations about the behavior of the pieces in Table 1.
12. Set the pieces of tape, non-sticky side down, on the table approximately 15 cm away from each other. Do not stick them back on the table!
13. Repeat Steps 9 - 12 for B2 and T2.
14. Carefully bring the non-sticky sides of piece "T1" and "B2". Record observations about the behavior of the pieces in Table 1.
15. Set them back down, non-sticky side down.
16. Repeat Steps 14 - 15 for "T1" and "T2". Record your observations in Table 1.
17. Repeat Steps 14 - 15 for "B1" and "B2". Record your observations in Table 1.
18. Repeat Steps 14 and 15 for "T1" and the hair on your leg or arm. Record your observations in Table 1.
19. Repeat Steps 14 and 15 for "B1" and the hair on your leg or arm. Record your observations in Table 1.
Table 1: Electric Charge Observations
procedure
interacting pieces observation
Part 1 Two pieces on table Part 2 T1 / B1 T2 / B2 T1 / B2 T2 / B1 B1 / B2 T1 / Arm Hair B1 / Arm Hair ***The observation is filled.
Post-Lab Questions
1. Describe the interaction between the top and bottom strips as they relate to electric charge. Did the behavior of the pieces change when the tape was from different sets?
2. Describe the interaction between two top and two bottom pieces of tape as they relate to electric charge. Is this consistent with the existence of only two types of charge? Use your results to support your answer.
3. Did the top tape attract your arm hair? Did the bottom tape attract your arm hair? Usually arm hair is neutral; it has equal number positive and negative charges. Use this information to explain your results.
4. Which pieces of tape are positively charged? Which pieces of tape are negatively charged? Explain your reasoning.
5. Use your data to create a rule describing how like charges, opposite charges, and neutral bodies interact.
6. What do you observe about the force of attraction or repulsion when the pieces of tape are closer together and farther apart? Does this change happen gradually or quickly?
1.When the non-sticky sides of the two pieces of tape recording are brought together, they repel each other. This is due to the buildup of electric charge on the face of the tape recording when it was hulled off from the flat face.
2.The pieces didn't change when the tape recording was from different sets. When two top or two nethermost pieces of tape recording are brought together, they repel each other.
3.When a top and nethermost piece of tape recording are brought together, they attract each other. This is harmonious with the actuality of only two types of charge, positive and negative. The results support the fact that the top and nethermost pieces of tape recording had contrary charges. The top tape recording attracted the arm hair, while the bottom tape recording didn't attract the arm hair. Arm hair is generally neutral, but it can be concentrated by the electric field of the charged tape recording.
4.The top tape recording is negatively charged, and it concentrated the arm hair, which has a positive charge. This redounded in magnet between the top tape recording and the arm hair. The pieces of tape recording labeled" T1" and" B2" are appreciatively charged, while the pieces of tape recording labeled" B1" and" T2" are negatively charged. This can be determined from the compliances.
5.When the appreciatively charged tape recording was brought near to a negatively charged tape recording, they attracted each other. When two appreciatively charged videotapes or two negatively charged videotapes were brought near together, they repelled each other. Like charges repel each other, contrary charges attract each other, and neutral bodies aren't affected by electric fields.
6.The force of magnet or aversion between the pieces of tape recording increases as they get near together and decreases as they move further piecemeal. This change happens gradationally, not snappily.
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if the bar and block are too heavy, one of the strings may break. assuming that the two strings are identical, which one will break first?
The string that will break first depends on the weight of the block or bar subjected to such string.
According to Hook's law, the force applied to an elastic material is directly proportional to the extension of the material.
F= kx
where;
F is the force applied to the object = weight of the objectFor given two identical strings, the string that will break first depends on the mass of the bar and the block.
If the bar is heavier than the block, then the string subjected to the bar will break first.On the other hand, if the block is heavier than the bar, then the string subjected to the block will break first.Thus, the string that will break first depends on the weight of the block or bar subjected to such string.
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What do you think are some differences between sound waves traveling through air versus traveling through water?
Answer:
in water its more slower because of the liquid matter but in air its a gas formaiton so its more quicker
Explanation:
Why do we not observe the wave-like nature of an object such as quickly rolling bowling ball?
We do not observe the wave-like nature of an object such as a quickly rolling bowling ball because the length of the wave is much shorter than the diameter of the ball.
As far as we know, matter possesses both wavelike and particle-like characteristics. According to de Broglie hypothesis, waves flow in straight lines and exhibit minimal interference when they come into contact with things that are significantly bigger than their wavelength (for example light rays in geometric optics). The longest wavelength &, therefore, the lightest mass achievable would be beneficial to obtain easily seen interference mostly from matter particles. Thus, this phenomenon was first noticed in electrons. A wave must come into contact with an object that is similar in size just like its wavelength to produce noticeable interference effects. Furthermore, we might assert that wave nature only reveals itself in tiny things like electrons and neutrons.
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A 120-kg roller coaster cart is being tested on a new track, and a crash-test dummy
is loaded into it. The roller coaster starts from rest at point A which is 25 m above
point B. If the track near to point B is in the shape of a circle with a radius of 15 m,
and the cart is moving at 22 m/s at point B, what centripetal acceleration does the
cart experience at that point?
Answer:
32 m/s².
Explanation:
From the question given above, the following data were obtained:
Mass (m) of cart = 120 Kg
Radius (r) = 15 m
Velocity (v) = 22 m/s
Centripetal acceleration (a) =?
The centripetal acceleration experienced by the cart can be obtained as illustrated below:
a = v²/r
a = 22² / 15
a = 484 / 15
a = 32.27 ≈ 32 m/s²
Thus, the centripetal acceleration experienced by the cart is approximately 32 m/s².
true or flase form is an element of design that describes volume and mass ; the three dimensional aspects of objects that take up space.
form is an element of design that describes volume and mass ; the three dimensional aspects of objects that take up space is True.
Form is an element of design that refers to the three-dimensional aspects of objects, including volume and mass. It describes the physical shape and structure of an object, emphasizing its spatial presence and how it occupies and interacts with space. Form plays a crucial role in creating visual interest, defining the character of objects, and shaping the overall composition in various design disciplines, such as architecture, industrial design, and sculpture.
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Why is it important to study rocks?
Answer:
It is imjportant to study rocks because geology gives an untouvhed pice of our history. Rocks can tell about our past, whether it is weather, animals, plants, tools, climate, or anything else, rocks can help solve world problems.
2. You push a 12.3-kg shopping cart with a force of 10.1 N.
(a) What is the acceleration of the cart?
(b) If the cart starts from rest, how far does it move in 2.50 s?
Plz answer quick
Answer:
Explanation:
The important part about this problem is the acceleration, which you must find by using
F = ma,
where F is the force applied,
m is the mass,
and a is the acceleration.
F = ma
10.1 N = (12.3 kg)a
a = 0.8211 m/s^2
Now use the kinematics equations.
d = vot + (1/2)at^2
where d is the distance moved,
vo is the initial velocity (0),
a is the acceleration,
and t is the time.
d = vot + (1/2)at^2
d = (0 m/s)(2.5 s) + (1/2)(0.8211 m/s^2)(2.5 s)^2
d = 2.57 m
a. The acceleration of the cart, is 0.821 \(m/s^2\).
b. The car moved a distance of 30.63 meters starting from rest.
Given the following data:
Mass of shopping cart = 12.3 kgForce = 10.1 NInitial velocity, u = 0 m/s (since the cart is starting from rest). Time, t = 2.50 seconds.a. To find the acceleration of the cart, we would apply Newton's Second Law of Motion:
Mathematically, Newton's Second Law of Motion is given by this formula;
\(Acceleration = \frac{Force}{Mass}\)
Substituting the given values, we have;
\(Acceleration = \frac{10.1}{12.3}\)
Acceleration = 0.821 \(m/s^2\)
Therefore, the acceleration of the cart, is 0.821 \(m/s^2\).
b. To find the distance covered by the shopping cart, we would use the second equation of motion.
Mathematically, the second equation of motion is given by the formula;
\(S = ut + \frac{1}{2} at^2\)
Where:
S is the distance covered. u is the initial velocity. a is the acceleration. t is the time measured in seconds.Substituting the values into the formula, we have;
\(S = 0(2.5) + \frac{1}{2} (9.8)(2.5)^2\\\\S = 0 + 4.9(6.25)\)
Distance, S = 30.63 meters.
Therefore, the car moved a distance of 30.63 meters starting from rest.
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Robins are birds that sing to attract mates two male robins robin A and Robin B are both singing to attract females robin A had more songs which the females find more attractive which option is likely to happen
Answer:
The female birds find more attractive which option is likely to happen is discussed below in detail.
Explanation:
All About Robins and How to Attract Them - Natural Birds Unlimited | Wild Birds Unlimited. These birds are interested to inaugurate grasslands and gardens with seasoned underbrush and trees. While they consume a variety of pests and grains or seeds, it has been remarked that they can consume up to 5 meters of earthworms in a day.
Sketch the vanation of frequency with wavelength given that speed of the wave remains constant
Wave variables
In the section on motion in two dimensions, we defined the phrases below to describe harmonic motion:
The amount by which a moving object deviates from its equilibrium position is known as its amplitude.
The number of events per unit of time is known as frequency.
Period is how long an oscillation lasts.
The underlying relevance of each of these factors for waves is the same. But it's helpful to express the ideas in a way that expressly mentions waves: Amplitude is the distance a wave travels between its resting state and its maximum movement.
The quantity of waves that pass by a specific location each second is known as its frequency.
Period is the length of time a wave cycle lasts.
In addition to their wave length and wave velocity, waves are determined by amplitude, frequency, and period.
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What would be the wavelength of an electromagnetic wave having a frequency equal to the clock speed of a 2.7 GHz personal computer? In what part of the electromagnetic spectrum would such a wave lie?
Answer:
the wavelength of the electromagnetic wave with a frequency is approximately 0.111 meters or 11.1 centimeters.
the electromagnetic wave falls within the radio wave.
Explanation:
Equation:
wavelength = speed of light / frequency
Given:
Frequency = 2.7 GHz = 2.7 × 10^9 Hz
so...
wavelength = (3.00 × 10^8 m/s) / (2.7 × 10^9 Hz)
then the answer would be...
wavelength ≈ 0.111 meters or 11.1 centimeters
now regarding the second question...in the given scenario, the wavelength of 11.1 centimeters is relatively long, indicating a lower frequency. Therefore, the electromagnetic wave in question falls within the radio wave part of the electromagnetic spectrum.
39. I also use it when I do the homework. (par 1 line 3).
The underlined word has the closest meaning with...
a. assignment
b. agreement
c. dictionary
d. teamwork
Answer:
A
Explanation:
A platinum resistance thermometer measures temperature by the change in the electrical resistance of a platinum wire. The coefficient of resistivity for platinum is 3.92×10
−3
∘
C
−1
. At a temperature of 20.0
∘
C, the thermometer has a resistance of 50.0Ω; when immersed in a crucible containing melting indium its resistance is 76.8Ω. What is the melting point of indium? Question 9 An electric fire has a heating element rated at 1 kW when operating at 230 V. (a) what is its resistance? (b) what will be the power dissipation if the mains voltage drops to 210 V, assuming that the element obeys Ohm's Law?
From the calculation;
1) Melting point of indium = 171.4°
2) The resistance is 52.9 ohm
3) The power dissipated is 834 W
Temperature coefficient of resistanceThe temperature coefficient of resistance is a measure of how much the resistance of a material changes with temperature. It quantifies the relationship between the change in resistance and the change in temperature.
We have that;
R1/R2 = (1 + αt1)/(1 + αt2)
50/76.8 = (1 + (3.92 * \(10^-3\) * 20))/(1 + (3.92 *\(10^-3\) * t))
0.65 = 1.0784/1 + 0.00392t
0.65(1 + 0.00392t) = 1.0784
0.65 + 0.0025t = 1.0784
t = 171.4°
P = \(V^2\)/R
R = \(V^2\)/P
R = \(230^2\)/1000
R = 52.9 ohm
The new power is;
P =\(210^2\)/52.9
P = 834 W
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1. During the experiment with the hot metal block in cold water, in which direction did the thermal energy flow? By what method did the energy
flow?
1
When there is a temperature difference/Gradient, heat flows from a region of high concentration to region of low concentration.
Energy and Heat/Mass TransferThermal energy flow from region of higher temperature gradient to region of low temperature gradient till equilibrium is reached.
When the hot metal is places in a cold water bath, there will be a temperature difference and by conduction(water conducts heat) the heat will travel in the water medium and circulate till equilibrium
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how does an inclined plane reduce the amount of input force needed?
An inclined plane reduces the amount of input force needed by increasing the distance over which the force is applied.
An inclined plane is a simple machine that consists of a flat surface set at an angle relative to the horizontal plane. When an object is moved up or down an inclined plane, it requires less input force compared to lifting the object vertically.
The principle behind this reduction in force is the trade-off between force and distance. By increasing the length of the incline, the inclined plane allows the force to be applied over a longer distance. This longer distance compensates for the reduction in force, resulting in a decrease in the amount of input force required to move the object.
The relationship between the input force (F_input) and the output force (F_output) on an inclined plane can be described by the formula:
F_output = F_input * sin(θ)
where θ is the angle of the incline. As the angle of the incline decreases, the force required to move the object also decreases.
An inclined plane reduces the amount of input force needed by increasing the distance over which the force is applied. This trade-off between force and distance allows objects to be moved more easily along the inclined plane compared to lifting them vertically.
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what is the important of temperature for sericulture explain
Temperature is a crucial factor in sericulture, which is the process of rearing silkworms for the production of silk. The optimal temperature range for silkworm growth and development is between 25°C and 30°C, with a relative humidity of 70-80%.
What happens if the temperature is too low for silkworms in sericulture?If the temperature is too low for silkworms, they grow more slowly, and their development may be delayed, resulting in lower silk production. This is because silkworms are cold-blooded creatures that rely on their environment to regulate their body temperature.
Why is temperature control important in sericulture?Temperature control is crucial in sericulture because it affects the growth, development, and survival of silkworms, which in turn affects the quality and quantity of silk production.
Maintaining the optimal temperature range helps to ensure that silkworms develop and mature quickly, produce high-quality silk, and have a low mortality rate. Temperature control also helps to prevent disease outbreaks and reduces the risk of silkworms becoming stressed and dying.
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(c) A physics teacher sets up a demonstration to teach her Year 10 class ideas about the conservation of momentum. Figure 2 shows a straight, horizontal air track and two air track trolleys, S and T, which can move along it. Figure 2 Sharp pin o Cork S T has a mass of 3 x 10-1 kg and its velocity is 1.4 m/s to the left. S has a mass of 200 g and is stationary. When T collides with S they stick together. Calculate the velocity of the trolleys after the collision. Show your working clearly and give the unit and direction. [5 marks]
The velocity of the trolleys after the collision will be 0.84 m/sec. Both collide and stick together and move with the same velocity.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
(m₁) is the mass of S= 200 g =0.2 Kg
(u₁) is the initial velocity of S= 0 m/s
(m₂) is the mass T= 3 x 10⁻¹ kg
(u₂) is the initial velocity of T = 1.4 m/s
(v) is the velocity after collision =.?
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
\(\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\ 3 \times 10^{-1} \times 1.4 + 0.2 \times 0 = v(0.3+0.2) \\\\ 0.5v=0.42 \\\\ v= 0.84 \ m/sec\)
Hence, the velocity of the trolleys after the collision will be 0.84 m/sec.
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The light from Polaris travels through space in the form of ______ energy
Answer:
Electromagnetic energy
Is water a element or compound or a mixture
Answer:
Water is a compound because it is made up of water molecules. There is no such thing as water atoms. Water molecules are made of hydrogen and oxygen atoms, in the definite proportion of two hydrogens for one oxygen.
while riding a roller coaster, a girl drops an object. the roller coaster was rising vertically at a velocity of 11.0m/s and was 5.00m above the ground when the object was dropped. how long does it take to reach the ground
Answer:
Approximately \(0.388\; {\rm s}\), assuming that air resistance is negligible and that \(g = 9.81\; {\rm m\cdot s^{-2}}\).
Explanation:
Initial vertical velocity of the object: \(u = 11.0\; {\rm m\cdot s^{-1}}\), upwards (same as that of the rollercoaster.)
Initial height of the object: \(h_{0} = 5.00\; {\rm m}\).
If air resistance is negligible, this object will accelerate downwards at a constant \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\). Note that \(a\) is negative since the object is accelerating downwards.
The SUVAT equation \(h = (1/2)\, a\, t^{2} + u\, t + h_{0}\) gives the height \(h\) of this object at time \(t\). Note that while the initial height is \(5.00\; {\rm m}\), \(h = 0\) when the object reaches the ground.
Since acceleration \(a\), initial velocity \(u\), and initial height \(h_{0}\) are all given, setting \(h\!\) to \(0\) and solving for \(t\) will give the time it takes for this object to reach the ground:
\((1/2)\, a\, t^{2} + u\, t + h_{0} = 0\).
\((1/2)\, (-9.81) \, t^{2} + 11.0\, t + 5.00 = 0\).
\((-4.905)\, t^{2} + 11.0\, t + 5.00 = 0\).
Solve this equation for \(t\!\) using the quadratic formula. Note that \(t > 0\) since \(t\) denotes the amount of time required for the object to reach the ground.
\(\begin{aligned} t &= \frac{-11.0 + \sqrt{11.0^{2} - 4 \times (-4.905) \times 5.00}}{2\times (-4.905)} \\ &\approx 0.388\; {\rm s}\end{aligned}\).
The other root of this quadratic equation is negative and isn't a valid solution to the question.
In other words, it will take approximately \(0.388\; {\rm s}\) for this object to reach the ground.
what will the wire's resistance be if you stretch it to twice its initial length?
When a wire is stretched to twice its initial length, its resistance increases by a factor of 4.
The resistance of a wire is directly proportional to its length, and inversely proportional to its cross-sectional area. When a wire is stretched to twice its initial length, its cross-sectional area is reduced to one-fourth of its original value. Therefore, the resistance of the wire increases by a factor of 4 (i.e., 2²). This can be seen from the equation R = (ρL)/A, where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area. When the length of the wire is doubled, the resistance becomes twice its original value. However, the reduction in the cross-sectional area also contributes to an increase in resistance, making it four times the original value.
In conclusion, when a wire is stretched to twice its initial length, its resistance increases by a factor of 4 due to the reduction in its cross-sectional area.
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A golf ball is initially travelling at 25m/sec hits a sand traps and slow down with an acceleration of -25m/sec. find its displacement after 2.0 sec.
The displacement of the ball is zero.
What is displacement?
The smallest distance between the initial and final position of an object.
What are the equations of motion?
There are three equations of motion that completely describes the motion of an object.
The first equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and time.
The second equation of motion gives the relationship between the initial velocity, displacement, acceleration, and time.
The third equation of motion gives the relationship between the initial velocity, final velocity, acceleration, and displacement.
Given time, initial velocity, and acceleration, the displacement can be calculated using the second equation of motion. The second equation of motion is,
s=u*t+(1/2)*a*t^2
Here, u=25 m/sec, a=-25 m/sec and t=2.0 sec.
Put the values in the formula and calculate the displacement.
s= (25)*(2.0)+(1/2)*(-25)*(2.0)^2
s=50-50
s=0 m.
Hence the displacement of the ball is zero.
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1 * Choose the correct item.
1 The festival is held/is being held/was being held every year in July.
2 The play is/was/has written by Shakespeare in the 16th century.
3 The outdoor performance will cancel/ cancelled/be cancelled if the weather is bad, but the actors usually don't stop for a bit of rain!
4 The panel with the actors from The Defenders was being moved/has been moved/is moved to 7 o'clock.
5 An episode of the TV show was filmed/had been filmed/is being filmed in my village right now!
Answer:
1. is held
2. was
3. be cancelled
4. has been moved
5. is being filmed
Explanation:
If you read them out, you can find out which ones flow the best! Hope this helps!
What is the current in a 160V circuit if the resistance is 2Ω?
Answer:
80 amperes
Explanation:
Current = Voltage/Resistance
160/2 = 80
A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 16.1 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg · m2 and the moment of inertia for the student plus stool is 3.30 kg · m2.
The final angular velocity of the system is 0.612 rad/s.
We can substitute the given values (I_wheel = 0.130 kg · m^2, ω_wheel = 16.1 rad/s, I_student+stool = 3.30 kg · m^2) into the equation to find the final angular velocity (ω_final) of the system.
To analyze the situation, we need to consider the conservation of angular momentum. Initially, the student, stool, and wheel are at rest, so the total angular momentum is zero. As the student holds the spinning bicycle wheel, they exert a torque on the system, causing it to rotate.
The total initial angular momentum of the system is given by the sum of the angular momentum of the wheel (L_wheel) and the angular momentum of the student plus stool (L_student+stool), which is equal to zero.
L_initial = L_wheel + L_student+stool = 0
The angular momentum of an object is given by the product of its moment of inertia (I) and angular velocity (ω).
L = Iω
Let's denote the initial angular momentum of the wheel as L_wheel_initial, and the final angular momentum of the system as L_final.
L_wheel_initial = I_wheel * ω_wheel
The student and stool initially have zero angular velocity, so their initial angular momentum is zero:
L_student+stool_initial = 0
When the student holds the spinning wheel, the system starts to rotate. As a result, the wheel's angular momentum decreases, while the angular momentum of the student plus stool increases. However, the total angular momentum of the system remains conserved:
L_final = L_wheel_final + L_student+stool_final
Since the student and stool are initially at rest, their final angular momentum is given by:
L_student+stool_final = I_student+stool * ω_final
We can now set up the equation for the conservation of angular momentum:
L_wheel_initial + L_student+stool_initial = L_wheel_final + L_student+stool_final
Since the initial angular momentum is zero for the student and stool:
L_wheel_initial = L_wheel_final + L_student+stool_final
Substituting the expressions for angular momentum:
I_wheel * ω_wheel = I_wheel * ω_final + I_student+stool * ω_final
Now, we can solve for the final angular velocity (ω_final):
I_wheel * ω_wheel = (I_wheel + I_student+stool) * ω_final
ω_final = (I_wheel * ω_wheel) / (I_wheel + I_student+stool)
Now you can substitute the given values (I_wheel = 0.130 kg · m^2, ω_wheel = 16.1 rad/s, I_student+stool = 3.30 kg · m^2) into the equation to find the final angular velocity (ω_final) of the system.
SO, therefore, the final angular velocity is 0.612 rad/s.
To learn more about velocity, refer below:
https://brainly.com/question/17127206
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A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate about a vertical axis through its center (see the figure below). The wheel spins with an angular speed of 16.1 rad/s and its initial angular momentum is directed up. The wheel's moment of inertia is 0.130 kg · m2 and the moment of inertia for the student plus stool is 3.30 kg · m2. Determine the angular speed of the system (wheel plus student plus stool) after the student turns the wheel over, changing its angular momentum direction to down, without exerting any other external forces on the system. Assume that the student and stool initially rotate with the wheel.
what is the passage of light through an object?
A.) Transmission
B.) Constructive Interference
C.) Destructive Interference
D.) Absorption
E.) Refraction
F.) Diffraction
Answer:
transmission
Explanation:
Question 2 of 10
What is the product of the mass and velocity of an object?
O A. Impulse
O B. Force
O C. Energy
O D. Momentum
Answer: The answer is D
Explanation:
______________ rock forms beneath Earth's surface.
Answer:
Igneous rocks form beneath Earth's surface.
Explanation:
Igneous rocks form beneath the Earth's surface
Calculate the pressure exerted on the floor when an elephant who weighs 6000 N stands on one foot which has an area of 20 m2
Answer:
P = 300 N/\(m^{2}\)
Explanation:
Pressure is the rate at which force is applied to an object per unit area.
i.e P = \(\frac{F}{A}\)
where P is the pressure, F is the force applied and A is the area.
When an elephant stands on four feet, the weight is distributed equally to the ground (all things being equal). But if an elephant stands on one foot, the weight is concentrated at a spot on the ground with respect to the area covered by his foot.
Given that, weight = 6000 N = F, and A = 20 \(m^{2}\).
Then,
P = \(\frac{6000}{20}\)
= 300
P = 300 N/\(m^{2}\)
The pressure exerted on the floor by the elephant is 300 N/\(m^{2}\).
Explanation:
P= F/A
= 6000/20
= 300n/m². or 300 pa