The average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.
What is radius?Radius is a term used in geometry to describe the length of a line extending from the center of a circle to the edge of the circle. This line is also referred to as the radius of the circle. The radius is half the distance of the diameter, which is the line that goes from one side of the circle to the other. The radius is also used in other shapes such as ellipses, rectangles, and polygons.
This is because the electric field lines radiate outward from the circumference of the ring, and as a result, the electric potential is lower near the circumference and higher further away from the circumference. As one moves closer to the center of the ring, the electric potential decreases.
Given power = 4×10²⁶ watts
Area = 4πr²
= 4π(7×10⁸)²
Area = 6.15752 × 10¹⁸
Average Power = Power/Area
= 4 × 10²⁶/6.157 × 10¹⁸
= 6.496 × 10⁷ W/m²
≈ 6 × 10⁷ W/m²
Thus, the average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.
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while big-o notation is used to measure the worst-case complexity of our code, we may also choose to assess the best-case complexity using big-theta notation.
While big-o notation is used to measure the worst-case complexity of our code, we may also choose to assess the best-case complexity using big-theta notation. The statement is true.
Big-Theta notation is used to measure the average-case complexity of an algorithm. It provides an upper and lower bound on the growth rate of the algorithm, expressing it as the tightest asymptotic bound.
This means that the running time of an algorithm expressed in big-Theta notation lies within a constant factor of the actual running time. For example, if the running time of an algorithm is O(n²) and Θ(n²), it means that the algorithm's running time grows proportional to n², but with a constant factor that is not necessarily equal to 1.
Thus, big-Theta notation provides a more accurate representation of the algorithm's running time compared to big-O notation which only provides an upper bound.
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Your question seems incomplete, but I suppose the question was:
"While big-o notation is used to measure the worst-case complexity of our code, we may also choose to assess the best-case complexity using big-theta notation. True or false."
Select the correct answer from each drop-down menu. What procedure is necessary when a person does not have a heartbeat? Martin, a caregiver, finds five-year-old Jessa unconscious and not breathing, Martin performs CPR balance Jessa's body fluids start Jessa's lungs manually circulate Jessa's blood and keep oxygen flowing Reset Next to help
Answer:
need points srr
Explanation:
Examine the following scenarios or questions, and determine whether science can be used to investigate them or not. You aren't being asked to decide whether or not the scenarios or questions ARE TRUE, only whether science can be used to investigate them. 1) Are the immigration laws of Canada better than those of the United States? 2) Can bacteria learn? 3) A Russian mystic claims he can move physical objects with his mind, but any attempts to monitor his actions with recording equipment interfere with the ability. 4) A truck driver is roused from sleepiness while driving, and narrowly avoids a head-on collision. He knows that his guardian angel saved his life by waking him up. 1) if I have a liter of cornflakes, am I measuring its volume, its mass, or its length? 2) If I have a meter of cornflakes, am I measuring its volume, its mass, or its length? 3) You see a measurement of 320s. Is this a measurement of temperature, duration, or computer storage capacity?
Explanation:
the Newsweek shadow STD test like that card imperial how was
A substance with stronger molecular attraction will evaporate at a higher/lower temperature because it requires more/less energy to be ADDED to overcome attraction between the molecules.
A phase change occurs when the kinetic energy increases/decrease enough so that the attraction between molecules pulls them together.
A substance with weaker molecular attraction will freeze at a higher/lower temperature because it requires more/less energy to be TAKEN OUT before the attraction pulls the molecules together.
Select the correct words in each sentence. :)
A substance with stronger molecular attraction will evaporate at a higher temperature because it requires more energy to be ADDED to overcome attraction between the molecules.
What is phase change?A phase change is when matter shifts from one state (solid, liquid, gas, or plasma) to another. These transitions take place when the system receives enough energy or loses enough energy, as well as when the pressure on the system is altered.
A phase change occurs when the kinetic energy decreases enough so that the attraction between molecules pulls them together.
A substance with weaker molecular attraction will freeze at a higher temperature because it requires more energy to be TAKEN OUT before the attraction pulls the molecules together.
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Assuming all of the resistors have the same resistance, which of the following correctly ranks the equivalent resistance of the circuits shown?
A. b < d < c < a
B. d < b < a < c
C. a < c < d < b
D. c > a > d > b
E. a = b = c = d
The correct answer is (A) b < d < c < a.
How to determine the equivalent resistance of the circuit?we need to consider the placement of the resistors.
In circuits a, b and c, resistors are connected in series. The corresponding resistance of resistors combined in series is the sum of the particular resistances. So the equivalent resistance for these circuits is:
a) 3R + R + 3R = 7R
b) R + R + 3R + 3R = 8R
c) 3R + R + R + 3R = 8R
In circuit d, resistors are connected in parallel. The equivalent resistance of resistors connected in parallel is given by the formula
1/request = 1/R + 1/R + 1/R = 3/R
Therefore Req = R/3. Comparing the values of the equivalent resistors reveals the following:
b < d < c < a
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For a simple harmonic oscillator, which of the following pairs of vector quantities can’t both point in the same direction? (The position vector is the displacement from equilibrium.) (a) position and velocity (b) velocity and acceleration (c) position and acceleration
The restoring force and acceleration are always in the same direction for a simple harmonic oscillator.
A simple harmonic oscillator is what?
A driven or dampened oscillator is known as a simple harmonic oscillator. It typically consists of a mass "m" that is pulled in the direction of the point x = 0 by a single force "F" that solely depends on the body's position "x" and a constant "k."
Consider a straightforward pendulum that displays SHM at low displacements. The location vector points upward while the acceleration and velocity vectors point downward during the downswing. The acceleration vector points downward while the location and velocity vectors point upward during an upswing. Therefore, unless they are both 0 at equilibrium, the acceleration always points in the opposite direction to the position vector. The acceleration and force of restoration are always in same direction .
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a motorized pulley lifts an object of mass m at a constant velocity v. assuming that all frictional forces are abscent, find average power
The vertical component of acceleration at time tm can be determined by taking the second derivative of the vertical position vector with respect to time.
What is velocity?Velocity is a vector quantity that measures the rate and direction of change in an object's position. It is typically expressed in units of meters per second (m/s). Velocity is equal to the distance traveled divided by the time it takes to travel that distance. Velocity is also related to acceleration, which is the rate of change of velocity.
At time tm, the vertical component of acceleration for the module would be the derivative of the vertical velocity vector with respect to time, which is the change in vertical velocity over time. This can be calculated by taking the second derivative of the vertical position vector with respect to time. Since the position vector is a function of time, the acceleration can be determined by taking the second derivative of the position vector with respect to time, which is defined as the rate of change of the velocity with respect to time. Therefore, the vertical component of acceleration at time tm can be determined by taking the second derivative of the vertical position vector with respect to time.
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At the county fair, Chris throws a 0.15kg baseball at a 2.5kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 15% of its incoming speed, knocking the bottle straight forward.
Part A
What is the bottle's speed, as a percentage of the ball's incoming speed?
6.6% is the percentage of bottle speed to ball entry velocity.
What is the simple definition of velocity?
Velocity is defined as: The rate of change of the object's position in any direction. Velocity is measured as the ratio of distance traveled and time traveled. Velocity is a scalar quantity because it has only direction and not magnitude.
What are the some examples of speed?
If you know the distance an object travels in a given time, you can find the speed of the object. For example, if a car travels 70 miles in one hour he travels 70 miles per hour (miles per hour).
Why measure speed?
Measuring movement speed can be very useful in saving time. A speedometer is used to measure speed of an car. An odometer is useful for measuring mileage.
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(c) An experiment was carried out in the laboratory to obtain the acceleration due to gravity 'g' as Shown in Fig. 1. The observations recorded were entered in the Table 1 as shown below. Table 1 S/N 1 2 3 4 5 L (cm) 100.00 90.00 70.00 50.00 40.00
No of Oscillation. 50 50 50 50 50
Mean time (s) 102.00 85.50 64.50
T (s) 1.92 1.47 T'(s)
The acceleration due to gravity can be obtained from the experiment.
How do you obtain the acceleration due to gravity experimentally?We know that when we talk about the acceleration due to gravity what we mean is that we want to know the magnitude of the gravitational pull in a given area and this can be known when we look at the data that we have from the oscillation experiment.
As such gravity is the force that causes the oscillation of the material to stop and such the magnitude can be determined from the experiment.
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A man pushes a lawn mower on a level lawn with a force of 186 N. If 26% of the force is directed horizontally, how much work is done by the man in pushing the mower 6.5 m?
Answer:
Work = 1243.17 J
Explanation:
Work = Force × Distance × Cosine (Angle)
Work = 186 N x 6.5 m x Cosine (26°)
Work = 186 N x 6.5 m x 0.906
Work = 1243.17 J
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Compute the density in g/cm³ of a piece of metal that has a mass of 0.470 kg and a volume of 77 cm³.
X g/cm³
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The density of the metal is determined as 6.1 g / cm³.
What is the density of the metal?
The density of the metal is defined as the ratio of the mass per unit volume of the metal.
Mathematically, the formula for density is given as;
ρ = m / V
where;
m is the mass of the metalV is the volume of the metalThe density of the metal is calculated as follows;
ρ = ( 0.47 kg x 1000 g/kg ) / ( 77 cm³ )
ρ = 6.1 g / cm³
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What are centripetal acceleration and centripetal force?derive their equations.
The acceleration in uniform circular motion is centripetal acceleration. a c =v 2 /r or a c =rω 2 where v is linear velocity, ⍵ is angular velocity, and r is radius of curvature. Then centripetal force formula of linear velocity is given by: F c =m v 2 /r.
An Atwood machine is constructed using two
wheels (with the masses concentrated at the
rims). The left wheel has a mass of 2 kg and
radius 23.1 cm. The right wheel has a mass of
2.1 kg and radius 30.77 cm. The hanging mass
on the left is 2 kg and on the right 1.69 kg.
Answer:ruedas (con las masas concentradas en las llantas). La rueda izquierda tiene una masa de 2 kg y un radio de 23,1 cm. La rueda derecha tiene una masa de 2,1 kg y un radio de 30,77 cm. La masa colgante de la izquierda es de 2 kg y la de la derecha de 1,69 kg.
Explanation:
Starting with an energy balance on a rectangular volume element, derive the one- dimensional transient heat conduction equation for a plane wall with constant thermal conductivity and no heat generation.
The transient heat conduction equation for a plane wall with constant thermal conductivity and no heat generation can be derived from the energy balance equation for a rectangular volume element.
Consider a plane wall with constant thermal conductivity, k, and no heat generation. Let's assume that the wall is at temperature T at time t and T + ΔT at time t + Δt. The energy balance equation for a rectangular volume element of the wall can be expressed as:
ΔQ/Δt = -kA(ΔT/Δx), where
ΔQ/Δt is the rate of heat transfer into the volume element k is the thermal conductivityA is the cross-sectional area of the wallΔT/Δx is the temperature gradient across the wall.Rearranging the equation:
ΔT/Δt = -(k/A)(ΔT/Δx)
The above equation represents the one-dimensional transient heat conduction equation for a plane wall with constant thermal conductivity and no heat generation.
This equation can be further simplified by using the thermal diffusivity, α, which is defined as:
α = k / (ρCp) where,
ρ is the density of the material Cp is the specific heat capacity.Substituting α into the equation:
ΔT/Δt = -α(ΔT/Δx^2)
This is the final form of the one-dimensional transient heat conduction equation for a plane wall with constant thermal conductivity and no heat generation.
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show that the distance d between adjacent planes of index number hkl is given in terms of the cube ha by d= a/(h2 +u2+l2)1/2
To show that the adjacent planes is gin terms of the cube by d= a/(h2 +u2+l2)1/2, we have to fully analyse it. Therefore, let's go straight to the explanation.
Distance equationThe distance "d" between adjacent planes in a crystal lattice is given by the equation:
d = a / (h^2 + k^2 + l^2)^(1/2)
where "a" is the lattice parameter (length of one side of the unit cell) and (h,k,l) are the indices of the crystal plane. The indices specify the orientation of the plane in the crystal lattice and are related to the Miller indices of the plane.
The equation shows that the distance between the planes is inversely proportional to the square root of the sum of the squares of the indices.
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A thin layer of liquid with thickness h has a laminar velocity profile of u=Uo(2yh−y2h2) where Uo is the surface velocity and y is the distance from the wall along the thickness of the liquid. If the liquid thickness is 0.5 in and the flow rate per foot of channel is 1.25 gal/min, determine the surface velocity Uo
The surface velocity is approximately 2.07 m/s.
The average velocity of the liquid flow per unit depth,
Q/A = 1.25 [gal/min]/[1 ft x 0.5 in x (1/12) ft/in] = 10 [ft/min]
where Q is the flow rate and A is the cross-sectional area of the channel.
Use the laminar velocity profile to determine the velocity at the center of the channel (y=0),
u(y=0) = Uo(2(0) - 0^2)/(2h) = 0
Since there is no slip at the wall, the velocity at y=h/2,
u(y=h/2) = Uo(2(h/2) - (h/2)^2)/(h)
= Uo(2-h/2)
= 2Uo - Uh/2
Equating this to the average velocity,
2Uo - Uh/2 = 10 [ft/min]
Solving for Uo = (10 + Uh/2)/2
Uh = Ahu(y=h/2) = AhUo(2-h/2)/(h) = A*Uo(2-h/2)
Substituting A = 1 [ft^2] and h = 0.5 [in] = 0.042 [ft], we get:
Uh = Uo(2-0.042/2) = 0.979Uo
Uo = (10 + 0.979Uo/2)/2
Uo = 6.8 [ft/min] or 2.07 [m/s]
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put the parts or regions of the neuron in order from the direction of where a stimulus is first received to where a response stimulus is conducted.
In sequence from the position of where a stimulation is initially absorbed to whether a reply stimulus is conducted, dendrites, cell body and soma, axon hillock, axon, and synaptic terminal sections or areas of the neuron.
Describe dendrites.Dendrites are extensions made to receive messages from nearby cells. They appear to have a tree-like shape because they produce projections that are activated by numerous other neurons and carry the electromagnetic gradient to the neurone.
What are the functions of dendrites?Dendrites receive impulses from numerous other neurons and pass them on to the nerve cell. If a neuron is sufficiently active, it will emit an electrical impulses, an electrical impulse that excites additional neurons. Huge networks of these neurons are set up, and they communicate among themselves in order to create ideas and actions.
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if a 12 V battery is connected to the circuit shown, and R1 and R2 are EACH 2 ohm resistors; what must be the resistance of R4 be if R3 is 4 ohms and the total current is 2 amp?
Answer:
Explanation:
First find the total resistance of the combination circuit:
R = V/I = 12 V / 2 A = 6 Ω
6Ω = R1 + R2 + 1/(1/R3 + 1/R4)
6Ω = 2Ω + 2Ω + 1/(1/4 + 1/R4)
2Ω = 1/(1/4Ω + 1/R4)
2Ω(1/4Ω + 1/R4) = 1
(1/4 + 1/R4) = 1/2
1/R4 = 1/4
R4 = 4Ω
Note: R1 and R2 are in series, so you just add them together. But R3 and R4 are in parallel, so Req = 1/R3 + 1/R4
▾ Part A
Calculate the quantity of heat absorbed by 50 g of water that warms from 30°C to 90°C.
Express your answer in calories.
* Q = ___ cal
The quantity of heat absorbed by 50 g of water that warms from 30°C to 90°C is 12552J.
How to calculate heat energy?The amount of heat absorbed or released by a substance can be calculated by using the following formula;
Q = mc∆T
Where;
Q = quantity of heat absorbed or released (J)m = massc = specific heat capacity∆T = change in temperatureAccording to this question, 50g of water warms from 30°C to 90°C. The quantity of heat absorbed is as follows:
Q = 50 × 4.184 × {90°C - 30°C}
Q = 209.2 × 60
Q = 12552J
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1. An object was launched from the ground to the top of a building at a
distance of 65 m from its foot on a horizontal plane at an angle of 60
degrees. Using SOHCAHTOA, find the height of the building the
projectile was launched to from the ground.
Using SOH,CAH,TOA, we can calculate the height of the building by taking the sine of the launch angle (60°) and the distance traveled (65 m). The height of the building is 56.9 m.
What is SOH,CAH,TOA?SOH,CAH,TOA stands for Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse and Tangent = Opposite/Adjacent. This is a set of trigonometric ratios that can be used to solve for angles and lengths of sides of a right triangle. It is used when the angle and length of two sides of a right triangle are known, but the length of the third side needs to be calculated.
Calculation using SOH, CAH, TOA
The distance from the ground to the top of the building is 65 m and the angle is 60 degrees. the height (h) of the building.has to be found
Using the trigonometric ratio of Sine, calculate the height of the building:
Sin(60°) = Opposite/Hypotenuse
h/65 = sin(60°)
h = 65sin(60°)
h = 65(0.866)
h = 56.59 m
Therefore, the height of the building the projectile was launched to from the ground is 56.59 m.
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Suppose the activity of a sample of radioactive material was 100, B, q,100Bq at the start. What would you divide 100, B, q,100Bq by to obtain the activity at:
n half-lives after the start?
please get back quick its due in form tomorrow
After n half-lives, its radioactivity will be 100× [tex]2^{-n}[/tex] Bq.
What is radioactivity?A characteristic of some forms of matter known as radioactivity is the spontaneous emission of energy and subatomic particles. In essence, it is a characteristic of particular atomic nuclei.
The radioactivity of the material is 100 Bq, that means, the radioactivity of the material is 1000 disintegration per second.
the relation between radioactivity and half-life is : A = A₀ 2^-n
Hence, after n half-lives, its radioactivity will be = 100 × 2^-n Bq.
Therefore, after n half-lives, its radioactivity will be 100× [tex]2^{-n}[/tex] Bq.
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Consider the point charges arranged at the corners and at the center of a square, as depicted in the figure. 1. Find the magnitude of the electric field, in newtons per coulomb, at the location of qa in the figure, given that qb= qc = qd = 5.6 nC, q = -1.3 nC, and the square is 6 cm on a side.
The magnitude of the electric field, in newtons per coulomb, at the location of qa in the figure is 32737.87 N/C.
What is electric field?
An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.
When charge is present in any form, every point in space has an electric field associated with it. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
[tex]$$The $\mathrm{x}$ component of $\vec{E}_q$ is given as:$$\begin{aligned}\vec{E}_{q, x} & =E_q \cos 45^{\circ} \hat{x} \\& =k \frac{\left|-1.1 \times 10^{-9}\right|}{1.25 \times 10^{-3}} \times \frac{1}{\sqrt{2}} \hat{x}\end{aligned}$$And its y component is given as:$$\begin{aligned}\vec{E}_{q, y} & =-E_q \sin 45^{\circ} \hat{y} \\& =-k \frac{\left|-1.1 \times 10^{-9}\right|}{1.25 \times 10^{-3}} \times \frac{1}{\sqrt{2}} \hat{y}\end{aligned}$$[/tex]
[tex]$$Therefore, the net electric field at the location of $q_a$ is given as:$$\begin{aligned}\vec{E} & =\vec{E}_b+\vec{E}_c+\vec{E}_{d, x}+\vec{E}_{d, y}+\vec{E}_{q, x}+\vec{E}_{q, y} \end{aligned}[/tex]
[tex]& =k \times 10^{-9} \times\left(\left(-\frac{5.9}{(0.05)^2}-\frac{5.9}{\sqrt{2} \times 5 \times 10^{-3}}+[/tex] [tex]\frac{1.1}{\sqrt{2} \times 1.25 \times 10^{-3}}\right) \hat{x}+\left(\frac{5.9}{(0.05)^2}+\frac{5.9}{\sqrt{2} \times 5 \times 10^{-3}}-\frac{1.1}{\sqrt{2} \times 1.25 \times 10^{-3}}\right) \hat{y}\right) \end{aligned}[/tex]
[tex]\begin{aligned}& =\left(9 \times 10^9\right) \times 10^{-9} \times(-2572.13 \hat{x}+2572.13 \hat{y}) \\& =23149.17 \times(-\hat{x}+\hat{y}) \mathrm{N} / \mathrm{C}\end{aligned}[/tex]
[tex]$And its magnitude is given by:$$\begin{aligned}|\vec{E}| & =23149.17 \times \sqrt{1^2+1^2} \\& =23149.17 \times \sqrt{2} \\& =32737.87 \mathrm{~N} / \mathrm{C}\end{aligned}$$[/tex]
Thus, the magnitude of the electric field, in newtons per coulomb, at the location of qa in the figure is 32737.87 N/C.
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Find the average velocity of the cat if she ran +110 meters in 50 seconds. Round to two decimal places, and include both magnitude and direction.
find an expression for the magnitude of the electric field that enables the block to remain at rest.
To keep the block at rest, an electric field with a magnitude equal to the gravitational force divided by the block's charge is required.
What is magnitude?A physical quantity's magnitude can be used to gauge its size or strength, such as in the case of a vector. The term "magnitude" in the context of an electric field refers to the field's amplitude.
The "equilibrium electric field" is the electric field needed to hold an object still. A force will be applied to a charged object in an electric field, either in the direction of or away from the source of the field. The net force must be zero in order to maintain the item at rest, which necessitates counteracting the electric field's force with another force.
E = k * q / d2, where k is the Coulomb constant, q is the charge on the object, and d is the separation between the item and the field source, can be used to calculate the size of the electric field necessary for equilibrium. According to this equation, the electric field is inversely proportional to the square of the distance between the item and the field source and directly proportional to the charge on the object.
As a result, if an object is charged and placed in an electric field, the size of the field needed to keep the object at rest will depend on the object's charge and the distance between it and the field source.
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An expression for the magnitude of the electric field that enables the block to remain at rest is:
[tex]\mathrm{ E = \dfrac{m \times g\times sin(\theta) }{q} }[/tex]
What is magnitude?A physical quantity's magnitude can be used tο gauge its size or strength, such as in the case of a vector
The "equilibrium electric field" is the electric field needed to hold an object still. A force will be applied to a charged object in an electric field, either in the directiοn of or away from the source of the field. The net force must be zero in order to maintain the item at rest, which necessitates cοunteracting the electric field's fοrce with another force.
According to this equation, the electric field is inversely proportional to the square οf the distance between the item and the field source and directly proportional to the charge on the οbject.
As with a typical inclined plane problem, we need tο find the compοnent of the gravitational fοrce parallel to the incline.
That is
[tex]\mathrm{ m \times g\times sin(\theta) }[/tex]
For the blοck to remain stationary, we set this equal to the coulοmb force
[tex]\mathrm{ qE = m \times g\times sin(\theta) }[/tex]
since E is parallel to the incline,
sοlving for E, we find the answer tο part a:
[tex]\mathrm{ E = \dfrac{m \times g\times sin(\theta) }{q} }[/tex]
Thus, an expression fοr the magnitude οf the electric field that enables the block tο remain at rest is:
[tex]\mathrm{ E = \dfrac{m \times g\times sin(\theta) }{q} }[/tex]
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Three blocks in contact with each other are pushed across a rough horizontal surface by 63 N force as shown. The acceleration of gravity is 9.8 m/s 2 kg kg 2.5 kg K = 0.1 If the coefficient of kinetic friction between each of the blocks and the surface is 0.1, find the magnitude of the force exerted on the 9 kg block by the 2.5 kg block_ Answer in units of N.
The 2.5 kg block pulls on the 9 kg block with an 87.2 N force.
Newton's Third Law, often known as the law of action and reaction, can be used to determine the force that the 2.5 kg block exerts on the 9 kg block. The force applied to the 9 kg block is equivalent to, but applied in the opposite direction from, the force applied to the 2.5 kg block. Since they are in touch, the force of friction operating on the 9 kg block is equal to the force of friction acting on the 2.5 kg block.
Calculating the friction force is as simple as multiplying the normal force, or weight of the object, by the coefficient of friction:
Step 1: Determine the normal force or weight of the object. The weight of a 9 kg object can be calculated as 9 kg x 9.8 N/kg = 87.2 N.
Step 2: Determine the coefficient of friction. In this case, the coefficient of friction is 0.1.
Step 3: Calculate the friction force by multiplying the normal force by the coefficient of friction.
Friction force = Normal force x Coefficient of friction
= 87.2 N x 0.1 = 8.72 N.
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I know the answer but can someone please, please explain?
Two blocks are on a frictionless surface and have the same mass m. Block 2 is initially
at rest. Block 1 moves to the left with speed 4v. Block 1 collides elastically with block 2.
What is the final speed of block 1?
The answer is 0 and I cannot for the life of me figure out why.
Answer:
Explanation:
The only explanation I can think of is this:
Block 1 is moving to the left and strikes Block 2, which is at rest. 100% of the momentum of Block 1 transfers to Block 2. So Block 2 now moves to the left at 4 m/s (you didn't specify a unit) and Block 1 comes to a complete stop and is now at rest.
Which of the following statements are true regarding the similarities between heat and work?
-both heat and work are path functions
-both heat and work can cross the boundary of a system
-both heat and work are associated with a process
-both heat and work are associated with a thermodynamic state
-systems possess energy including heat and work
Heat and work are path functions because their values depend on the path taken from the initial to the final state of a system.
What is Heat?Heat is a form of energy that is transferred from one object to another due to a difference in temperature. Heat is a form of kinetic energy, the energy of motion, and can be transferred from one object to another by conduction, convection, and radiation.
Both heat and work can cross the boundary of a system, as energy transfer in the form of heat or work can occur when a system interacts with its surroundings.
Heat and work are associated with a process, which is a change in the state of a system from one thermodynamic state to another.
Heat and work are also associated with a thermodynamic state, as the amount of heat and work exchanged between a system and its surroundings is determined by the thermodynamic state of the system.
Finally, systems possess energy in the form of heat and work, which can be exchanged between a system and its environment.
Therefore, all the given option is correct
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A person jumps off a diving board 4.1 mm above the water's surface into a deep pool. The person's downward motion stops 2.3 mm below the surface of the water. Estimate the average deceleration of the person while under the water.
The average deceleration of the person while underwater can be estimated as 875 m/s².
To calculate the average deceleration, we need to find the change in velocity over the change in time. The change in velocity can be calculated as the initial velocity (which is assumed to be zero) minus the final velocity, which is the velocity just before the person stops moving downward. The change in time can be found by subtracting the starting height from the stopping height.
Starting height = 4.1 mm = 4.1 × 10⁻³ m
Stopping height = 2.3 mm = 2.3 × 10⁻³ m
Change in velocity = final velocity - initial velocity
Change in velocity = 0 m/s - (-√(2gh))
Change in velocity = √(2gh)
where g is the acceleration due to gravity (9.8 m/s²) and h is the height (4.1 mm)
Change in velocity = √(2 × 9.8 × 4.1 × 10⁻³)
Change in velocity = √(79.26 × 10⁻³) = 8.9 m/s
Change in time = final time - initial time
Change in time = 0 s - (stopping height - starting height)
Change in time = (starting height - stopping height)
Change in time = 4.1 × 10⁻³ - 2.3 × 10⁻³ = 1.8 × 10⁻³ s
Change in time = 1.8 × 10⁻³ s
Average deceleration = change in velocity / change in time
Average deceleration = √(2 × 9.8 × 4.1 × 10⁻³) / (h2 - h1)
Average deceleration = 8.9 / (1.8 × 10⁻³)
Average deceleration = 875 m/s²
Therefore, the average deceleration is estimated at 875 m/s².
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What is the integral of the function x^4 in the interval from c to d?
The limit integral of function x⁴ from c to d is [ d⁵-c⁵]/5.
What is integration?In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data.
Integration is the action of locating integrals. . In addition to differentiation, integration is a fundamental, crucial calculus operation that helps to solve issues with the area of an arbitrary form.
The limit integral of function x⁴ from c to d is:
[tex]\int\limits^c_d {x^4} \, dx[/tex]
[tex]= [\frac{x^5}{5} ]_{x=c}^{x=d}[/tex]
= [ d⁵-c⁵]/5
Hence, the limit integral of function x⁴ from c to d is [ d⁵-c⁵]/5.
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suppose that two runners run a 100-meter dash, but the first runner reaches maximum speed more quickly than the second runner. both runners maintain constant speed once they have reached their maximum speed and cross the finish line at the same time. which runner has the larger maximum speed
The runner who reaches their maximum speed more quickly has the larger maximum speed. In a 100-meter dash, reaching maximum speed more quickly generally indicates a higher level of acceleration, which is related to maximum speed.
The runner who reaches their maximum speed more slowly may have a longer time to build up speed, but once both runners have reached their maximum speed, they are both running at the same speed.
So, the runner who reached maximum speed more quickly will have had a higher maximum speed.
Speed is known as the rate of change of position of an object in any direction. Speed is calculated as the ratio of distance to the time in which the distance was covered.
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