Agatha requires (c) 10 hours of sleep each night.
Children in middle school ideally require average 9-12 hours of sleep each night. If the number of hours of sleep each night is compromised, it will show effect on the concentration and health of the child.
Because sleep is crucial to your physical health, it is crucial that you receive enough of it every night. For instance, your heart and blood arteries are able to recover and repair themselves as you sleep. An increased risk of heart disease, renal disease, high blood pressure, diabetes, and stroke has been related to chronic sleep deprivation. For the brain and body to operate properly the following day, doctors and specialists advise children to receive at least 9 to 12 hours of sleep each night.
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A cyclist is traveling at 7m s¹, then accelerates at 2.5m s2 for 15 seconds.
a.
How far did they travel during this time
What was the final speed after 15 seconds?
b.
Answer:
a)
[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]
b)
[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]
Consider an incandescent lightbulb. If you wanted to turn a 10-w lightbulb into a 100-w lightbulb, how would you change the temperature of the filament inside the bulb?.
By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as
P = A . e . σ . T⁴
where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.
From the question above, we know that
P1 = 10 watt
P2 = 100 watt
T1 = T1
By using the black body radiation formula, the ratio of temperature is
T1⁴ / T2⁴ = P1 / P2
Hence,
T1⁴ / T2⁴ = P1 / P2
T1⁴ / T2⁴ = 10 / 100
T1⁴ / T2⁴ = 1 / 10
T2⁴ = 10T1⁴
T2 = ⁴√(10T1⁴)
T2 = T1 x 10⁰'²⁵
Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.
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A circular rod with a gage length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the modulus of elasticity is 200 gpa , what is the change in length?
By using Hooke's Law, the change in length is 2.07 x 10¯³ m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The elasticity can be measured by stress and strain which
e = σ/ε
e = (F/A) / (ΔL/L)
where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.
From the question above, we know that
e = 200 GPa = 200 x 10⁹ Pa
F = 61 kN = 61000 N
d = 2.6 cm = 0.026 m
L = 3.6 m
Find the surface area
A = πr²
A = π(1/2 . 0.026)²
A = 5.31 x 10¯⁴ m²
By substituting the given parameters, we get
e = (F/A) / (ΔL/L)
200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)
ΔL = 2.07 x 10¯³ m
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Many excitatory neurotransmitters cause the opening of channels that allow for the flow of ______.
Many excitatory neurotransmitters cause the opening of channels that allow for the flow of both Na+ and K+.
To influence another cell across a synaptic gap, a neuron produces a chemical signaling agent known as a neurotransmitter. Any significant organ, target cell, gland, or muscle cell that receives the signal could be another neuron as well. The message continues to be transmitted to the following cell as a result of the excitatory neurotransmitters "exciting" the neuron and causing it to "fire off the message.
Excitatory neurotransmitters include glutamate, adrenaline, and norepinephrine, to name a few. Acetylcholine, norepinephrine, and epinephrine are the neurotransmitters most known for their rapid but fleeting excitatory impact, while GABA is the main inhibitory neurotransmitter.
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A prairie dog runs 60 meters west, and then 80 meters northwest.
Find the components in the horizontal and vertical direction.
Find the magnitude of the resultant vector, correct units, the angle, and the direction words (e.g. south of east, north of west, etc.).
23 km when x1+ x2 = 0.87/10. is the main answer.
The size of a vector in the x-direction is expressed by its x-component, also known as its horizontal component. The size of a vector in the y-direction is represented by its y-component, also known as its vertical component. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m).
A+B=A= (x1+x 2) i+20 jx1+x2/20
=tan60 = 0.5/0.87.
A=x1 i+10 j.
B=x2 i+10 j.
A+ B = (.87/10) 2 + 20 /2
= 23 km when x1+ x2 = 0.87/10.
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16 When pollen grains in water are viewed through a microscope, they are seen to be in continuous,
rapid random motion.
What causes a pollen grain to move in this way?
A convection currents in the water
B bombardment by a single molecule of water
C
uneven
bombardment on different sides by water molecules
D collision with another pollen grain due to their kinetic energies
Uneven bombardment on different sides by water molecules.
Water is made up of little, swiftly moving particles. The pollen grains move on the surface of water because they are continually being struck by the swiftly moving water particles (the water particles or water molecules themselves are invisible under the microscope due to their extreme small size). Therefore, even though the water molecules (particles) are too small to discern, their impact on the pollen grains can be readily seen. Brownian motion is exemplified by the haphazard movement of visible particles (pollen grains) brought about by much smaller unseen water particles.The pollen grains will move with some justification if Brownian motion is used to explain the observation in the question.Brownian motion is the irregular (constant but random) movement of small particles suspended in a fluid, according to its definition. A disturbance in the medium holding the suspended particles is what is responsible for the motion. In other words, it is brought on by some fluid disruptions, which may have been brought on by some bombardments.Therefore, option C is correct.
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The horizontal and vertical components of the initial velocity of a football are 24 m/s and 7 m/s respectively. what is the initial velocity of the football?
Answer:
Vx = V cos θ = 24
Vy = V sin θ = 7
Vy / Vx = tan θ = .292
θ = 16.3 deg
V = Vy / sin 16.3 = 24.9 m/s
Check:
V = Vx / cos 16.3 = 25 m/s (within rounding)
This is for ESS(Earth Space Science
You are a palaeontologist studying a rock formation with two rock layers next to each other that are noticeably different in their compositions. The difference between the layers suggests that a mass extinction event occurred between them. The following table shows the number of fossils of each group found per layer.
What conclusions can you draw?
1. The number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.
2. Dinosaur and mammal fossils are present in layer B but not in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.
3. Dinosaur and mammal fossils are present in layer A but not in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.
4. The number of fossils of amphibians and marine organisms is particularly reduced in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.
The best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after. That is option A.
Who is a palaeontologist?A palaeontologist is an individual that has been professionally trained to obtain information from fossils and studying of the rock formations.
Fossil is defined as the preserved organic remains of living organism such as bones, shells, exoskeletons, stone imprints of animals or microbes which may have lasted for many geologic ages.
From the given table, different fossils are being identified in two rock layers such as Layer A and layer B.
Layer A contains a higher number of fossils of reptiles, amphibians and marine organisms than seen in Layer B rock formation.
Therefore, the best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.
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At a particular instant a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be?
At a particular instant, a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be 39.8 m/s.
As, this is a free-falling object with some, initial velocity
so, u = 30m/s
the given time t = 1 sec
so, the final velocity will find out by using the kinematic equation
Using v = u + at
v = 30 + 9.8[tex]\times[/tex]1
v = 39.8 m/s
The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.
Speedometers are used to measure speed in moving vehicles. Odometers are used to calculate the distance traveled. A graph may be used to calculate speed as well. The distance-time graph aids in comprehending an object's speed.
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Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.
Using solid sphere density, the diameter of the sphere is 29.98 cm.
We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as
ρ = m / V
where ρ is density, m is mass and V is volume
From the question above, we know that
ρ = 19.32 g/cm³
m = 273.13 kg = 273130 g
Find the volume of sphere
ρ = m / V
19.32 = 273130 / V
V = 273130 / 19.32
V = 14137.16 cm³
Find the diameter of sphere
V = 4/3 . π . r³
14137.16 = 4/3 . π . r³
r³ = 3373.64
r = 14.99 cm
d = 1/2 r
d = 2 . 14.99
d = 29.98 cm
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A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of _____ l.
A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of 5.5 to 1.4 m (18 to 5 feet).
The maximum power transfer theorem, Maxwell's equations, and the fact that antennas are used to transmit and receive electromagnetic waves all suggest that the antenna's largest dimension is proportional to the wavelength, Frequency and wavelength are inversely proportional. The wavelength gets shorter as the frequency increases. A shorter antenna results from a shorter wavelength. Nevertheless, depending on the applications we use today, we may not always use wavelength/4, and the majority of our cellphones instead use wavelength/10 because wavelength/4 will produce an outdated phone with an external antenna that people will break frequently. However, the antenna performance on those phones was the best.
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If the general solution of a differential equation is y(t), what is the solution that satisfies the initial condition y(0)?
The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .
The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.
Now,
The solution is:
y(t)=Ce^(-2t)+15
putting the initial condition, i.e., y(0) = 9. ( it actually means y(t=0) = 9 )
y(0) = Ce^(0) + 15
9 = C + 15 (since e^0 = 1)
9-15 = C
or, C = -6
Substituting this in the general solution:
y(t) = -6e^(-2t)+15
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A ball is thrown straight upwards. at the very top of its flight the velocity of the ball is zero. what direction, if any, is the acceleration at this point?
The acceleration due to gravity is constant even at the top of its flight and its direction will be towards to ground (Downwards).
The horizontal distance of an object in projectile motion relative to its origin is referred to as its range. Only at the highest point of a thrown object's flight does vertical (y) speed equal zero. This component of velocity does not change over time since there is no horizontal acceleration in the absence of air resistance.
For many people, this is a counterintuitive idea. (Depending on the object, air resistance will result in a little or major drop in velocity. However, for the time being, this aspect is disregarded.) Gravitational acceleration must be included in a vertical motion, and as a result, the vertical velocity evolves with time.
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A(n) ______ causes the equilibrium price to ______ and equilibrium quantity to ______.
A(n) decrease in supply results the equilibrium price to rise and equilibrium quantity fall
What causes equilibrium price to change?
As you'll see, a increase in demand causes the equilibrium price to rise. On the other hand, a decrease in demand can let the equilibrium price to fall. a rise in supply causes the equilibrium price to fall, while a decrease in supply causes the equilibrium price to rise.
How does equilibrium price affect equilibrium quantity?A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. a rise in supply, all other things remains unchanged, will cause the equilibrium price to fall; quantity demanded will increase. A decrease in supply will results to the equilibrium price to rise; quantity demanded will decline.
What can cause the market equilibrium price and equilibrium quantity?
An increase in demand, all other things remain unchanged, will cause the equilibrium price to rise; quantity to be supplied will increase. A decrease in demand will results the equilibrium price to fall; quantity supplied will decrease
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A 11.3 v battery is connected to a 6.2 pf parallel-plate capacitor. what is the magnitude of the charge on each plate?
According to the capacitance, the charge on each plate is 70.06 pC.
We need to know about the capacitance of the air-filled capacitor to solve this problem. The capacitance of the air-filled capacitor depends on the charge and voltage. It can be written as
C = Q/V
where C is capacitance, Q is charge and V is voltage.
From the question above, we know that
C = 6.2 pF = 6.2 x 10¯¹² F
V = 11.3 V
By substituting the given parameters, we can calculate the charge on each plate
C = Q/V
6.2 x 10¯¹² = Q / 11.3
Q = 6.2 x 10¯¹² x 11.3
Q = 70.06 x 10¯¹² C
Q = 70.06 pC
Hence, the charge on each plate is 70.06 pC.
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Which form of electromagnetic radiation has a wavelength of 10-7 nanometers?
a. Gamma rays
b. Infrared
c. Ultraviolet
d. Radio waves
The form of electromagnetic radiation that has a wavelength of 10-7 nanometers is known as Ultraviolet. Thus, the correct option for this question is C.
What is Electromagnetic radiation?Electromagnetic radiation may be defined as a type of radiation that considerably possesses both electric and magnetic fields. Apart from this, these radiations always travel in waves. Electromagnetic radiations include visible light, radio waves, gamma rays, X-rays, etc.
Among all kinds of electromagnetic radiations, gamma rays have the shortest wavelength and high frequency. While microwaves have the longest wavelength and lowest frequency. As the wavelength and frequency are inversely related to one another.
Therefore, ultraviolet radiation is a type of electromagnetic radiation that has a wavelength of 10-7 nanometers. Thus, the correct option for this question is C.
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How far from the base of the cliff will milada hit the ground? ignore air resistance.
The distance from the base of the cliff Milada will hit the ground is 2.43 m.
The time taken by Chirpy to reach the ground is t.
t = 2.7 seconds
The initial velocity at which Milada jumps horizontally is u.
u = 95 cm/s = 0.95 m/s
Let the height of the cliff be h.
The height of the cliff is,
[tex]h = ut \: + \frac{1}{2} at ^{2} [/tex]
[tex]h = 0 + \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]
[tex]h = \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]
h = 35.72 m
The height of the cliff is 35.72 m.
The distance from the base of the cliff Milada will hit the ground is,
= Initial velocity × time
= u × t
= 0.95 × 2.7
= 2.43 m
Therefore, the distance from the base of the cliff Milada will hit the ground is 2.43 m.
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Which of the following is the greatest number of times your heart can beat in one minute?
Target Heart Rate
Resting Heart Rate
Maximum Heart Rate
Beat Pulse Measurement
Answer:
What Is Maximum Heart Rate? Your maximum heart rate is, on average, the highest your pulse can get. One way to get a rough estimate of your predicted maximum is to subtract your age from the number 220. For example, a 40-year-old's predicted maximum heart rate is about 180 beats per minute.
Explanation:
Which of the following best describes what the Nervous System does?
a. It sends glucose throughout the body.
b. It sends signals and messages throughout the body.
c. It sends oxygen throughout the body.
d. It sends liquid urine throughout the body.
Answer: It sends signals and messages throughout the body.
Answer:
b.
Explanation:
if you read B. its explains it sends signals and messages throughout your body so thats uour nervous system.
your welcome
-) A boat travels 6 m/s across
a river. The current pushes
downstream at 4 m/s. If the
river is 100 m wide, then:
a) Find the resultant vector.
HELPPP PLEASEE !!!
From the calculations, the resultant vector is 7.2 m/s.
What is the resultant vector?The term resultant vector has to do with that vector that has the same effect in magnitude and direction as two or more vectors acting together. Thus we have to note that a vector must have both a magnitude as well and necessarily a direction. The direction of the vector shows where the vector is headed.
In this case, we have the information that a boat travels 6 m/s across
a river. The current pushes downstream at 4 m/s. We know that the boat travels in the vertical and then the movement of the current is in the horizontal direction. We can then be able to obtain the resultant by the use of the Pythagoras theorem.
R = √(6)^2 + (4)^2
R = √ 36 + 16
R = 7.2 m/s
We then have the resultant vector is 7.2 m/s.
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Choose the option that correctly answers and explains the question, if the sum of the forces acting on an object equals zero, does this imply the object is at rest?.
If the sum of forces acting on an object is equal to zero, this does not imply that the object is at rest because it only implies that the moving object is not accelerating.
A force is an agent which when applied to an object, causes a change in state or direction of that object. The sum of forces acting on an object includes the resolution of all the forces acting on that object. The sum of forces acting on an object becomes zero when the resolution of all the forces acting on the object gives zero. An object in this state is said to be at equilibrium.
For example, the force of gravity may be acting on a ball resting on a surface, but the ball doesn't move because the gravitational force acting on the ball is balanced out by the reaction force from the table, hence the ball does not move, it is in a state of equilibrium.
The sum of forces acting on a moving object could also be equal to zero. When force is applied to a moving object, it accelerates (increases in speed), but when the sum of forces equals zero, the object still continues to move at uniform speed. This is in line with Newton's first law of motion, which states that "an object will remain in a state of rest or will continue to move with uniform speed, unless it is acted upon by a force.
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Complete question:
Choose the option that correctly answers and explains the question, "If the sum of the forces acting on an object equals zero, does this imply the object is at rest?" No, because the sum of the forces equalling zero only implies that the object is not accelerating. No, because even if the sum of the forces equals zero, it may have a nonzero component in one direction. Yes, according to Newton's second law, experiencing zero net force is the definition of being at rest. Yes, because Newton's first law implies that objects in motion must be acted on by a nonzero net force.
A fire breaks out, raising the ambient temperature by 224.0 k while 82.0 g of gas leak out of the tank. calculate the new temperature and the number of moles of gas remaining in the tank.
The new temperature is given as 510.05 K and the number of moles that remained after the incident can be written as 6.49 mol.
CalculationAmbient Temperature ∆T = 224K
Mass of the gas that leak out of the tank ∆m = 82g
We know that the final temperature is
T f = Ti + ∆T
= 294.05K + 224 K
≈ 518.05 K
Then the final number of moles of gas is given by
nf = mf / M co2
= mi-∆m / 44
= (367.8 - 82) / 44
≈ 6.49 mol
What is a good Ambient temperature?The air temperature of any object or setting where equipment is kept is known as the Ambient temperature.
This number is significant for system design. It is also sometimes referred to as the ordinary temperature or the baseline temperature.
What distinguishes Ambient temperature from room temperature?Technically speaking, “ Ambient temperature” refers to the temperature outside, whereas “room temperature” refers to the temperature inside a particular structure or room.
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What happens to the pressure of an ideal gas if its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change?
If its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change, the pressure becomes 4 times.
What is the ideal gas law?The equation of state for a fictitious perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.
Although it has some number of restrictions, it is a good approximation for the behavior of numerous gases under various circumstances.
The law of an ideal gas (PV = nRT)
Who created the ideal gas equation?This equation was developed via the experimental labor of several people, particularly Robert Boyle, Jacques A. C. Charles, and Joseph Gay-Lussac, relates the pressure, volume, temperature, and quantity of an ideal gas.
According to ideal gas equation
PV=nRT
Here the Temperature becomes 2T and
and the volume becomes V/2
We get pressure becomes 4 times.
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A light ray in glass (n=1.5) hits the air-glass interface at an anlge of 10 degrees from the normal. what angle from the normal is teh light ray in teh air (n=1.0)?
By using Snell's Law, the refraction angle is 15.10⁰.
We need to know about Snell's Law to solve this problem. Snell's Law describes that the refraction of different mediums will depend on the refraction index. It can be written as
n1 . sin(θ1) = n2 . sin(θ2)
where n1 is the first refraction index, θ1 is the incident angle, n2 is the second refraction index and θ2 is the refraction angle.
From the question above, we know that
n1 = 1.5
n2 = 1
θ1 = 10⁰
By substituting the given parameters, we get
n1 . sin(θ1) = n2 . sin(θ2)
1.5 . sin(10⁰) = 1 . sin(θ2)
sin(θ2) = 1.5 . 0.17 = 0.26
θ2 = 15.10⁰
Hence, the refraction angle is 15.10⁰.
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A researcher reports an f-ratio with df = 3, 36 for an independent-measures experiment. how many treatment conditions were compared in this experiment?
a) 36
b) 4
c) 39
d) 3
The correct option is B.
There were 4 treatment conditions compared in the experiment.
F ratio plays an essential role in performing a particular dataset of ANOVA. F ratio is particularly a ratio which is obtained by the between-group variance or it is also called MSB and also within-group variance known as MSW. Any F-ratio which is computed is compared with the critical F-ratios from the table as it will check out if there are any variations available between the groups or not.
The researcher reports an F-ratio where the degrees of freedom = 3, 36.
F-ratio is obtained by the calculation of dividing the Mean squared errors because of the treatment by the Mean squared error which occurs due to error.
For the particular case, the researcher reports an F-ratio having degrees of freedom = 3, 36. It is indicating that the treatments are being distributed with degrees of freedom which is 3 and specified errors are distributed with degrees of freedom which is 36.
Let the treatments which were involved in the study can be denoted by k.
Let the total number of individuals involved in the study can be taken as N.
Then, the treatments will be having degrees of freedom as,
[tex]df_{treatments}[/tex] = k-1
3=k-1
k=3+1=4
Therefore, the required treatment condition number that was compared is 4.
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What must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c?
- 2.186 x 10⁻⁵ C must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c.
Electric field:
E = F/q
E ⇒ The magnitude of electric field
F ⇒ Electric force on a test charge q
q ⇒ Magnitude of the point charge
The electric field E at a position P where a charged particle with charge q is subjected to an electric force F is specified by the aforementioned equation.
There are two possible test charges: positive and negative. The directions of E and F are the same if it is positive; if it is negative, they are the opposite.
F = mg = Eq
q = mg/E
= ((1.45 x 10⁻³ kg)(9.8 m/s²))/650 N/C
= 2.186 x 10⁻⁵ C
Since the force must go upward and the electric field is in the opposite direction, q must be negative.
q= -2.186 x 10⁻⁵C
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A 2,000-kg car is sitting at rest in a parking lot. a bike and rider with a total mass of 60 kg are traveling along a road at 10 km/h. which system has more inertia? why?
Car has more inertia, as its mass is greater than the mass of the bike.
Since inertia is related to mass, an object with a larger mass will almost always have orders of magnitude more inertia than an object with a smaller mass. In this case, the motorcycle.
The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed. The characteristic of matter that causes this law to hold true is inertia.
Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.
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How+long+will+it+take+for+the+voltage+across+the+capacitor+to+reach+60%+of+the+maximum+voltage
A series connection between a resistor and a capacitor creates an RC circuit, which charges the capacitor progressively through the resistor until the voltage across it equals the supply voltage. The time needed to fully charge the capacitor is about equal to 5-time constants, or 5T.
Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals. Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input step voltage or signal.
The complete question is- How long does it take for the capacitor to reach its maximum voltage potential?
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What is the maximum current max when the circuit is at resonance, if the amplitude of the ac driving voltage is 72.0 v?
In a series RLC circuit, current I = V/Z, but at resonance, current I = V/R, hence the current at the resonant frequency is highest because the circuit impedance is merely resistance and is at its lowest at resonance. The plot between circuit current and frequency can be seen in the graph up top.
The impedance is the same as the resistor since the circuit is at resonance. The voltage divided by the resistance is then used to compute the peak current. Maximum voltage across an inductor in a series RLC occurs at a frequency slightly above the resonant frequency, while maximum voltage across a capacitor occurs at a frequency somewhat below the resonant frequency. A harmonic oscillator is driven at its natural frequency by a periodic force, which induces resonance. The apparatus is reported to resonate.
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A graph of velocity vs. time of a ship coming into a harbor is shown.
How would you describe the acceleration of the ship based on the graph?
The ship is moving in the forward direction at a steady rate. Then it decelerates
in the forward direction, and then continues to slow down in the forward
direction, but with more deceleration.
The ship is moving in the forward direction at a steady rate. Then it decelerates
in the forward direction, and then continues to slow down in the forward
direction, but with less deceleration.
The ship is moving in the forward direction at a steady rate. Then it turns around
and starts decelerating, while traveling in the reverse direction. It then
accelerates, but slowly.
The ship is moving in the forward direction at a steady rate. Then it accelerates
in the forward direction and then decelerates.
The graph shows that the ship decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.
What is deceleration?The term deceleration refers to a gradual reduction in the velocity of the object with time. We know that when an object is moving at a steady rate, the velocity of the object does not change and this can be seen as a flat portion in the velocity time graph.
Looking at the graph, we can see that we could tend to look at the acceleration of the ship based on the graph with the view that the ship is moving in the forward direction at a steady rate. Then it decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.
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