The volume of the 4.00 cm length of the, 1.85 mm thick cylinder pump, that comes to thermal equilibrium with the air is approximately 6.24 cm³.
Which formula can be used to find the volume of the cylindrical pump?Parameters of the question found in a similar question found online are as follows;
Thickness of the steel cylinder, t = 1.85 mm
Length of steel cylinder that comes to thermal equilibrium with the air, l = 4.00 cm
Given parameters;
Inner diameter of the cylinder, d = 2.50–cm
Length of the cylinder = 50.0–cm
Required; Volume of the steel in the 4.00–cm length
Solution;
1.85 mm = 0.185 cm
Volume of the cylinder, V, is found as follows;
V = π•(D² - d²)/4 × l
Where;
D = The outer diameter of the cylindrical pump
d = The inner diameter
l = Length of the cylinder
Therefore;
D = d + 2•t
Which gives;
D = 2.5 + 2 × 0.185 = 2.87
V = (π•(2.87² - 2.5²)/4) × 4 ≈ 6.24
Therefore;
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What is the potential difference across a hand-held fan that has a resistance of. 120 ohms and a current of 0,005A flowing through it?
Answer: The answer is 0.6 volts
Explanation:
As the formula of Resistance says that
Resistance= Voltage÷ Current
Where its going to be
Voltage= Resistance÷ Current
Resistance= 120 ohms
Current= 0.005A
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50 POINTS! What is simple slope/ what is the simple slope equation?
Answer:
u have to divide the 2numbers and multiply by 2
Explanation:
also known as a pallet truck, a(n) is a device used to lift and move heavy or stacked pallets.
A pallet jack also known as a pallet truck, is a device used to lift and move heavy or stacked pallets.
A pallet jack, additionally called a pallet truck, pallet pump, pump truck, hand truck, scooter, canine, or jigger is a device used to lift and pass pallets. Pallet jacks are the most fundamental shape of a forklift and are meant to transport pallets within a warehouse.
A pallet jack is the most fundamental form of forklift and is intended to transport pallets in a warehouse or trailer. Pallet jacks are some of the maximum important gear located in warehouses and are used for transporting small masses for quick distances
The pallet jack has a deal with a lever. Slide the prongs into function beneath a pallet and crank the handle up and all the way down to carry the prongs off of the floor. Push or pull the pallet on your favored location and keep the lever right down to decrease the prongs returned to the ground.
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after albemarle's heat wave, the rest of june was cooler. in fact, at the end of the month, meteorologists reported that the average high for all 30 days in june was just $80^\circ$. what was the average high (in degrees fahrenheit) from june 11 through june 30? (enter your answer as a number without units.)
The average high from June 11 through June 30 will be 76°F.
a)
The average high temperature for the previous 10 days must first be determined:
(84 + 88 + 91 + 92 + 96 + 94 + 89 + 78 + 87 + 81)/ 10
= 880/10
= 88°
According to the query, 82° is the "average" high temperature on a June day in Albemarle.
therefore,
88° - 82° = 6° is greater than normal
(b)The total of all temperatures for 30 days is 30*80 if the average temperature for 30 days is 80°.
= 2400
As calculated above, the sum of temperatures for the first 10 days is 880. Consequently, the total temperature for the following 20 days is
2400 - 880 = 1520
The mean for last 20 days is
1520/20
= 76°
The average high from June 11 through June 30 will be 76°F
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An alien spaceship traveling at 0.600 c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800 c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched.(d) If the landing craft has a mass of 4.00 × 10⁵ kg , what is its kinetic energy as measured in the Earth reference frame?
The kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.
To find the answer, we have to know about the Lorentz transformation.
What is its kinetic energy as measured in the Earth reference frame?It is given that, an alien spaceship traveling at 0.600 c toward the Earth, in the same direction the landing craft travels with a speed of 0.800 c relative to the mother ship. We have to find the kinetic energy as measured in the Earth reference frame, if the landing craft has a mass of 4.00 × 10⁵ kg.
[tex]V_x'=0.8c\\V=0.6c\\m=4*10^5kg[/tex]
Let us consider the earth as S frame and space craft as S' frame, then the expression for KE will be,[tex]KE=m_0c^2=\frac{mc^2}{1-(\frac{v_x^2}{c^2} )}[/tex]
So, to [tex]V_x=(0.8+0.6)c-[\frac{0.6c*(0.8c)^2}{c^2}]=1.016[/tex]find the KE, we have to find the value of speed of the approaching landing craft with respect to the earth frame. We have an expression from Lorents transformation for relativistic law of addition of velocities as,[tex]V_x'=\frac{V_x-V}{1-\frac{VV_x}{c^2} } \\thus,\\V_x=V_x'(1-\frac{VV_x}{c^2} )+V[/tex]
Substituting values, we get,[tex]V_x=0.8c(1-\frac{0.8c*0.6c}{c^2} )+0.6c=(0.8c*0.52)+0.6c=1.016c[/tex]
Thus, the KE will be,[tex]KE=\frac{4*10^5*(3*10^8)^2}{\sqrt{1-\frac{(1.016c)^2}{c^2} } } =\frac{1.2*10^{22}}{0.179}=6.704*10^{22}J[/tex]
Thus, we can conclude that, the kinetic energy as measured in the Earth reference frame is 6.704*10^22 Joules.
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A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire. (b) Explain why you can't determine the direction of the magnetic force from the information given in the problem.
The reasons are discussed below -
We have a straight current carrying wire placed in a uniform magnetic field.
We have to explain why we can't determine the direction of the magnetic force from the information given in the problem.
What is the magnitude of force acting on a current (I) carrying wire of length (L) placed in a Magnetic field (B)?The force on the current carrying wire will be -
F = IBL sinθ
According to the question -
It is impossible to determine the direction of magnetic force because of the following reasons -
Firstly, the length of the wire present in the region of magnetic field is given. If we assume it to be ∞, then -
F = IB sin(θ) x ∞ = ∞ (which is not a valid result)
Secondly, Although it is mentioned that a straight current carrying wire is placed perpendicular to the uniform magnetic field, there is no mention about the exact orientation of the magnetic field direction. For example, if we consider the wire along +x axis then perpendicular could be any of the four directions -
+k, -k, +j, -j
Hence, these are the reasons why we can't determine the direction of the magnetic force from the information given in the problem.
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1. Two point charges, q1 and q2, of 4.00 μC each, are placed at x1=-16.0 cm and x2 = 16.0 cm away from the origin on the x-axis. A charge q3 of 1.00 μC is placed 12.0 cm away from the origin on the y-axis.
a. Find the distance from q3 to q1 and from q3 to q2.
b. Find the magnitude and the direction of the force F13 exerted by q1 on q3.
c. Find the magnitude and the direction of the force F23 exerted by q2 on q3.
d. Find the magnitude and the direction of the force F12 exerted by q1 on q2.
The distance between charge 1 and 3 is equal to 20 cm and the force between charge 1 and 3 is equal to force between charge 1 and 3 that is 0.9 Newton and the force between charge 2 and 3 is equal to 1.41 Newton.
What are charges?Electric charges are basic property of matter carried by some elementary particles that governs how the particles are affected by an electric or magnetic field. Electric charge, which can be positive or negative, occurs in discrete natural units and is neither created nor destroyed.
What is coulomb's law?Coulomb's law states that like charges repel and opposite charges attract, with a force proportional to the product of the charges and inversely proportional to the square of the distance between them.
Given:
Magnitude on charge 1 = 4 μC
Magnitude on charge 2 = 4 μC
Magnitude on charge 3 = 1 μC
Distance between charge 1 and 2 = 32 cm
Distance of charge 3 from center of charge 1 and 2 = 12 cm
Distance between charge 1 and 3 can be find using Pythagoras theorem.
Distance between charge 1 and 3 = √(256 + 144)
Distance between charge 1 and 3 = 20cm
Similarly Distance between charge 2 and 3 = 20cm
Force between charge 1 and 3 can be found using coulomb law.
Force between charge 1 and 3 = (9 × 4 × 1)/40
Force between charge 1 and 3 = 36/40
Force between charge 1 and 3 = 0.9 Newton
Similarly using symmetry, force between charge 2 and 3 = 0.9 Newton
Force between charge 1 and 2 =(9 × 4 × 4)/102
Force between charge 1 and 2 = 1.41 newton
Therefore the distance between charge 1 and 3 is equal to 20 cm and the force between charge 1 and 3 is equal to force between charge 1 and 3 that is 0.9 Newton and the force between charge 2 and 3 is equal to 1.41 Newton.
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In the figure shown, if angle i is increased, angle r will _____.
Answer: I am assuming it is decreases
Explanation: a straight line is 180 degrees. 2 angles both add up to 180 degrees on a straight line. When one increases, the other has to decrease to keep it 180 degrees on a straight line
An x-ray beam with wavelength 0. 210 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 70. 0 ∘. What is the spacing d between the planes of the crystal?
By using Bragg's diffraction, the spacing d is 0.112 nm.
We need to know about Bragg's diffraction to solve this problem. Bragg's diffraction is described how monochromatic light travels through a crystal medium. The monochromatic light should follow
2d.sin(θ) = λ
where d is the spacing between the planes of the crystal, θ is the incident light angle and λ is the wavelength.
From the question above, we know that
θ = 70⁰
λ = 0.210 nm = 0.21 x 10¯⁹ m
By substituting the given parameters, we get
2d.sin(θ) = λ
2d.sin(70⁰) = 0.21 x 10¯⁹
2d . 0.94 = 0.21 x 10¯⁹
d = 1.12 x 10¯¹⁰ m
d = 0.112 nm
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a 1250 kg car traveling at a speed of 25.0 m/s rounds a 175 m radius curve. assuming the road is level, determine the coefficient of static friction between the car’s tires and the road.
Coefficient of static friction between the car’s tires and the road is 0.3
What is static friction ?
A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
Give an illustration of static friction.
When something is sitting on a surface, static friction affects it. For instance, every time you place your foot on the trail when trekking in the woods, there is static friction between your shoes and the surface.
Assume that road is level
Friction force provides centripetal force to the car
The weight of the car is = 1250 kg
speed of the car is = 25 m/s
curve radius =r= 175m
we know the formula of centripetal force is given by
[tex]f_{s} =\frac{mv^{2} }{r}[/tex] where m = mass of the object
v= velocity
r= curve radius
and we know the static force is given by f= μN
here, N= mg
so now,
μmg=[tex]\frac{mv^{2} }{r}\\[/tex]
now put the all give values then we get,
[tex]$$\mu_r=\frac{v^2}{r g}=\frac{(25 \mathrm{~m} / \mathrm{sec})^2}{(175 \mathrm{~m})\left(9.8 \mathrm{~m} / \mathrm{sec}^2\right)}$$[/tex]
μ=[tex]\frac{625}{1715}[/tex]
μ= 0.3 , This is the coefficient of friction between the car tire and the rode
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A spaceship of mass 2.40x10⁶kg is to be accelerated to a speed of 0.700 c. (b) How much fuel would it take to provide this much energy if all the rest energy of the fuel could be transformed to kinetic energy of the spaceship?
The fuel required to gain minimum energy is (3.02 x 10²³ / ΔH) kg.
We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by
Eo = m₀ . c²
where Eo is rest energy, m₀ is rest mass and c is the speed of light (3 x 10⁸ m/s).
The total energy of object can be described as
E = Eo / √(1 - v²/c²)
where E is total energy, v is the object speed.
From the question above, we know that :
m₀ = 2.4 x 10⁶ kg
c = 3 x 10⁸ m/s
v = 0.7c
Find the rest energy
Eo = m₀ . c²
Eo = 2.4 x 10⁶ . (3 x 10⁸)²
Eo = 2.16 x 10²³ joule
Determine the total energy
E = Eo / √(1 - v²/c²)
E = 2.16 x 10²³ / √(1 - (0.7c)²/c²)
E = 2.16 x 10²³ / 0.71
E = 3.02 x 10²³ joule
Assume that the Heat of Combustion for Space fuel = ΔH J/kg
m = E / ΔH
m = 3.02 x 10²³ / ΔH kg
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Badminton game played with one player per side. (identification)
(Physical education)
Answer:
Badminton game played with one player per side is true and Badminton game played with two players per side is also true.
Explanation:
The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00μT.(b) What If? At one instant, the two conduce tors in a long household extension cord carry equal 2.00-\mathrm{A} currents in opposite directions. The two wires are 3.00 \mathrm{~mm} apart. Find the magnetic field 40.0 \mathrm{~cm} away from the middle of the straight cord, in the plane of the two wires.
The magnetic field 40.0 cm away from the middle of the straight cord, in the plane of the two wires is [tex]7.5\times 10^{-9}T[/tex]
The magnitude and direction of the magnetic field due to a straight wire carrying current can be calculated using the previously mentioned Biot-Savart law. Let "I" be the current flowing in a straight line and "r" be the distance. Then the magnetic field produced by the wire at that particular point is given by [tex]B=\frac{u_0I}{2\pi r}[/tex] ...(1)Since the wire is assumed to be very long, the magnitude of the magnetic field depends on the distance of the point from the wire rather than the position along the wire.Let [tex]B_1[/tex] be inside the plane and [tex]B_2[/tex] be outside the plane . It is required to calculate magnetic field at point A .
Direction of magnetic field at A is calculated using Right hand rule.
[tex]B_{net}=B_2-B_1\\\\B_{net}=\frac{u_0I}{2\pi (0.4-\frac{3\times10^{-3}}{2}) } -\frac{u_0I}{(0.4+\frac{3\times10^{-3}}{2})} \\\B_{net}=7.5\times 10^{-9}T[/tex]
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What is the active volcanoes
GP Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.27× 10³Hzin the forward direction. Submarine B is in front of submarine A and traveling at 3.00 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves ("pings") from submarine A. We wish to determine what is heard by the crewman in submarine B. (b) In Equation 17.19 , should the sign of v(S)be positive or negative?
GP Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.27× 10³Hzin the forward direction. Submarine B is in front of submarine A and traveling at 3.00 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves ("pings") from submarine A. We wish to determine what is heard by the crewman in submarine B. (b) In Equation 17.19, the sign of v(S) should be positive.
What is frequency in physics?Recurrence is the quantity of events of a rehashing occasion for each unit of time. It is additionally once in a while alluded to as fleeting recurrence to underscore the difference to spatial recurrence, and customary recurrence to stress the differentiation to precise recurrence. Recurrence is communicated in units of hertz (Hz) which is comparable to one (occasion) each second. The comparing time frame is the time term of one cycle in a rehashing occasion, so the period is the corresponding of the recurrence. Recurrence is estimated in units called hertz (Hz). At the point when one wave passes in a single second its recurrence is 1 wave each second or 1 Hertz. Recurrence and period are really alternate extremes. While period is estimated in seconds per cycle, recurrence is estimated in cycles each second. Think about wave with a time of 2 seconds.
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What is the mass of an object that requires 100N (kg-m/s2) of force in order to accelerate it at 10m/s2 (Please use G-R-E-S-A) pls pasagot
The calculated mass is 10 kg.
Mass (kg) times acceleration (m/s2) equals force (N). A constant mass item will therefore accelerate in direct proportion to the force exerted. When two objects of differing masses are subjected to the same force, the heavier object accelerates more slowly than the lighter object. Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed as an object with smaller mass, a stronger force is required.
So, Mass times acceleration equals force
100=Mass×10
To calculate mass on its own, divide 100 by 10 on both sides.
Mass = 10 kg
Because this formula was developed using kg rather than another unit of mass like the slug, the mass is expressed in kg.
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A cubical surface surrounds a point charge q . Describe what happens to the total flux through the surface if (d) the charge is moved to another location inside the surface
Gauss law states that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.
Mathematically,
Φ=Q ϵo
Where;
Q is enclosed charge
ϵo is the permittivity of the free space
If the charge is moved to another location inside the same cube, the flux in the electric field remains the same. This is because as long as the charge remains within the plane of the electric field, the flux is calculated in all directions and thus the flux remains unchanged. It only changes when the charge is moved outside the cube.
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ECONOMICS GRADE 10 CASE STUDY TOPIC: South African growth and development: Mining and industry Manufacturing and services.
The correct answe is South Africa - Economic Growth and Development:
After the formal end of the previous apartheid system two decades ago, South Africa can now boast having one of the richest economies in Africa and a well-functioning democracy. It is the largest economy in Africa, but it also has deeply ingrained structural issues that limit its ability to expand and flourish.
One of the largest economies on the African continent is that of South Africa. However, despite a period of rapid development from 2003 to 2007, its real GDP average yearly growth rate between 2001 and 2010 has been very weak and unquestionably significantly below the African average. A number of African nations have had substantially faster growth rates, which has improved a number of development-related indices.
By the standards of the recent growth records of several Euro Zone nations, South Africa's development is hardly sluggish! One crucial aspect of the economy is that South Africa has achieved relatively modest progress in meeting a number of important development targets and some of the Millennium Development Goals, but her economy does not appear to have achieved the "take-off" required to kick start significant development progress, especially against the backdrop of her deep social problems.
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a 2-kg mass attached to the end of a spring with a spring constant of 200 n/m moves in simple harmonic motion. find the period of the oscillations.
By angular speed, the period of oscillation is 0.63 second.
We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as
ω² = k / m
where ω is angular speed, k is spring constant, and m is the mass.
The angular speed can be calculated by
ω = 2π/T
Hence,
ω² = k / m
(2π/T)² = k / m
where T is period.
From the question above, we know that:
m = 2 kg
k = 200 N/m
By substituting to the equation, we get
(2π/T)² = k / m
(2π/T)² = 200 / 2
(2π/T)² = 100
square root
2π/T = √100
T = 2π / √100
T = 0.63 second
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For flowing water, what is the magnitude of the velocity gradient needed to produce a shear stress of 1. 0 n/m 2 ?
The magnitude of the velocity gradient of water is 892.86 s^-1 or 892.86/s
Given:
The shear stress in the fluid is 1 N/m^2
Solution:
The formula for velocity gradient is given below
(dµ / dy) = τ / µ
Here τ is sheer stress, µ is the dynamic viscosity and dµ / dy represents the velocity.
In the above equation, put the values N/m^2 for τ and 1.12 x 10^-3 Ns/m^2 for μ.
(dµ / dy) = 1 / 1.12 x 10^-3 Ns/m^2
(dµ / dy) = 892.86 s^-1
Thus, the magnitude of the velocity gradient of water is 892.86 s^-1 or 892.86/s
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Construct Explanations Flora is a pilot. She knows that it is very dangerous to put an airplane into a dive that is too steep. Explain what the danger is, in terms of potential and Kinetic energy.
One of the main causes of fatalities in the commercial aviation sector is loss of airplane control while in flight. There are numerous causes of upsets in airplanes, but none of them are statistically significant.
Eliminating one cause of upsets won't definitely result in fewer fatalities and accidents involving loss of control. Reducing the number of upset causes requires ongoing training. Additionally, many environmental factors that cause upsets can't always be avoided, which makes avoidance the best course of action. Therefore, in order to recover an upset airplane, pilots must possess the requisite knowledge and abilities.
All makers of big, swept-wing commercial jet aircraft use the same aerodynamic concepts.
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A thin, square, conducting plate 50.0cm on a side lies in the x y plane. A total charge of 4.00× 10⁸ is placed on the plate. Find (a) the charge density on each face of the plate
The calculated charge density on each plate is 8*10⁻⁸ C/m²
The charge density is a measurement of the amount of electric charge present per unit of surface area, body volume, or field. How much charge is held in a specific field is determined by the charge density. It is possible to calculate charge density in terms of length, area, or volume.
L = 50cm = 0.5m for side length. Q = 4*10⁻⁸C, charge on the plate
= Q/A for surface charge density
Each component's surface charge density is then equal to half of the plate's overall charge density. Thus,
σ(face) = 1/2σ
(face = Q/2A)
(face = Q/2L2) Now that we have Q and L, we can plug in.
σ(face) = 4*10⁻⁸/ 2*0.5²
σ(face) = 4*10⁻⁸ / 0.5
(face) = 8 * 10 ⁻⁸ C/m²
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A ball is projected 125 meters straight upward and then falls the same distance back to its starting point. Neglecting air resistance, its total time in the air is about.
The ball that is projected 125 meters straight upward has a total time in the air of: 10.1 s
The formulas for the vertical launch upward and the procedures we will use are:
y max = v₀²/(2*g)t max = v₀/ gt(of)=2*t maxWhere:
v₀ = initial velocityg = gravityy max = maximum heightt max = time to reach maximum heightt(of) = time of flightInformation about the problem:
g = 9.8 m/s²y max= 125 mv₀ = ?t max =?t(of) =?Applying the maximum height formula and clearing the initial velocity we get:
y max = v₀²/(2*g)
v₀ = √(y max * (2*g))
v₀ = √( 125 m * (2 * 9.8 m/s²))
v₀ = √( 125 m * 19.6 m/s²)
v₀ = √2450 m²/s²
v₀ = 49.497 m/s
Applying the maximum time formula we get:
t max= v₀ / g
t max= 49.497 m/s / 9.8 m/s²
t max = 5.050 s
Applying the time of flight formula, we get:
t(of) =2 * t max
t(of) =2 * 5.050 s
t(of) = 10.1 s
What is vertical launch upwards?In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.
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The time taken now is 10 s
What is the time taken?We know that in this case, the object was projected vertically upward and we know that in this direction the acceleration due to gravity is negative. Then the ball falls straight down to the ground. We have to use the equation of kinematics under gravity to approach the problem.
We now have that;
h = ut + 1/2gt^2
Considering the downward motion were g is positive u = 0 m/s
h = 1/2gt^2
t = 2h/g
t = √2h/g
t = √ 2 * 125/10
t = 5 s
Given that the time taken to go up is the same as the time taken to come down;
Total time spent in air = 2 (5 s) = 10 s
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In the electron-transport chain, as electrons move along a series of carriers, they release energy that is used to do what?.
In the electron-transport chain, as electrons move along a series of carriers, they release energy that is used to pump protons across a membrane.
In plants and animals, the electron transport chain points to the consistent streaming of electrons across cells where electron donors donate electrons and electron acceptors accept electrons through an oxidation-reduction reaction.
As a result of the oxidation-reduction reaction, an electrochemical gradient is created and ATPs are generated for energy purposes.
Moreover, the chain comprises 4 key protein complex molecules that are transferred across the plasma membrane cell.
This cellular process takes place in mitochondria and is responsible for chemical reactions such as photosynthesis and cellular respiration. The four principle steps of this process are Krebs' cycle, glycolysis, oxidative phosphorylation, and pyruvate oxidation.
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20 POINTSSS PLS HELP
Imagine if the Earth suddenly sped up. What do you think would happen to its orbit?
Answer:
down below
Explanation:
I assume you're asking about it's orbit around the sun. I believe the Earth's orbit around the sun would be shorter. If the Earth sped up, one can assume that means the days are shorter and the rate at which the Earth orbits the sun would also speed up.
This sounds like an open ended question, so I don't think there can be a wrong answer.
Hope this helps! :)
A toy doll and a toy robot are standing on a frictionless surface facing each other. The doll has a mass of 0. 20 kg, and the robot has a mass of 0. 30 kg. The robot pushes on the doll with a force of 0. 30 n. The magnitude of the acceleration of the robot is.
The robot is moving with an acceleration of 1.0 m/s.
What do you understand by magnitude?Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. In physics, the term "magnitude" often refers to a size or amount.
Scalar values serve as units of measurement, and scalar multiplication serves as the definition of magnitude. A quantity's magnitude in a particular unit multiplied by that unit equals the original quantity. This is true for all tensor types, including vectors and real-number tensors.
The given parameters;
mass of the toy doll, m = 0.2 kg
mass of the robot, M = 0.3 kg
force applied by the robot, F = 0.3 N
The magnitude of the acceleration of the robot is calculated from Newton's second law of motion;
F = ma
where;
a is the acceleration of the robot
Thus, the magnitude of the acceleration of the robot is 1 m/s²
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Which of the following pairs can be the components of a velocity of 30 m s¹ (east)? (a) 20 m s' (east), 10 m s' (east)
(b) 35 m s¹ (east), 5 m s¹ (west)
(c) 20 m s¹ (east). 15 m s¹ (west)
A and B. The pairs that can be the components of a velocity of 30 m s¹ (east) are 20 m s' (east), 10 m s' (east) and 35 m s¹ (east), 5 m s¹ (west).
What is resultant velocity?
The resultant velocity of an object is the sum of its individual vector velocities.
For a resultant velocity of 30 m/s east, the component velocities that can equal the resultant velocity is calculated as follows;
35 m/s east and 5 m/s west
let the east direction be positive
let the west direction be negative
R = 35 m/s - 5 m/s
R = 30 m/s east
Another pair20 m/s east and 10 m/s east
R = 20 m/s + 10 m/s
R = 30 m/s
Thus, the pairs that can be the components of a velocity of 30 m s¹ (east) are (a) 20 m s' (east), 10 m s' (east) and (b) 35 m s¹ (east), 5 m s¹ (west).
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A flat surface of area 3.20m² is rotated in a uniform electric field of magnitude E=6.20 × 10⁵N . m²/C . Determine the electric flux through this area (b) when the electric. field is parallel to the surface.
The value of electric flux will be zero.
For a uniform electric field passing through a plane surface,
electric flux(ϕ) = EAcosθ
where,
θ is the angle between the electric field and the normal to the surface
E is the electric field
A is surface area
(a)
The electric field is perpendicular to the surface,
so,
θ=0
electric flux(ϕ) = EAcosθ
electric flux(ϕ) =(6.20×10⁵N/C)(3.20m²)cos0
electric flux(ϕ) =1.98×10⁶Vm
(b)
The electric field is parallel to the surface
θ=90°
so,
cosθ=0 and the flux is zero For a uniform electric field passing through a plane surface,
therefore, electric flux(ϕ) =0
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What was the control group for the Michelson-Morley experiment?
The control group for the Michelson-Morley experiment was Interferometer.
The Michelson Morley Experiment was one of the unsuccessful tests that proved the luminiferous ether idea did not exist.
Michelson and Morley attempted to explain how the Earth orbited the sun and how the passage of substances such as ether over the Earth's surface might cause measurable "ether wind."
They attempted to show the idea that the speed of light depends on the size of the ether wind as well as the direction of the beam in relation to it when the light is emitted from an Earthly source. It was supposed that ether was immobile.
The experiment's goal was to measure the speed of light in different directions in order to determine the speed of the ether relative to Earth, so proving its existence.
The theorized material Luminiferous Ether serves as a medium for the transmission of electromagnetic waves such as light rays and X-rays. Ether was thought to be a transmission medium for light propagation.
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The area of a typical eardrum is about 5.00 × 10⁻⁵m² .(a) Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m² .
The sound power incident on the eardrum at the threshold of pain is,
[tex]5 \times 10^{-5} W[/tex]
What do you mean by the intensity?In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation. Watts per square meter (W/m2) and kilograms per square meter (kg/s3) are the units used in the SI system. With waves like acoustic waves (sound) or electromagnetic waves like light or radio waves, intensity is most usually employed to describe the average power transfer across one period of the wave. Other situations where energy is exchanged can also be described in terms of intensity. One could, for instance, figure out how much kinetic energy each drop of water from a sprinkler is carrying.
Power = intensity x area
Given:
Area, A = [tex]5 \times 10^{-5} \;m^{2}[/tex]
Intensity, I = [tex]1\;W/m^{2}[/tex]
We know that,
Sound Power, P = [tex]I \times A[/tex]
P = [tex]1 \times 5 \times 10^{-5}[/tex]
P = [tex]5 \times 10^{-5}\;W[/tex]
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