Answer:
The magnitude of the emf induced in the loop is 2.4 × 10⁻⁵ V
Explanation:
The magnitude of the induced emf of a loop moving relative to a wire is given as follows;
The given parameters are;
I = 50 A, a = 50 cm, and b = 6.0 cm
The constant rate of change of x, v = 20 cm/s
Motional emf formula
The magnetic field due to the straight wire, B = μ₀·i/(2·π·x)
The flux given by the rectangular loop, Ф = BA = μ₀·i/(2·π·x) × a × b
Therefore, we get;
[tex]e = \dfrac{-d\phi}{dt} = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \dfrac{d}{dt} \left (\dfrac{1}{x} \right ) = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \dfrac{dx}{dt}[/tex]
[tex]\because \dfrac{dx}{dt} = v[/tex]
Therefore;
[tex]e = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \dfrac{dx}{dt} = \dfrac{-\mu_0 \cdot i \cdot a\cdot b}{2 \cdot \pi} \times \left (\dfrac{1}{x^2} \right ) \times v \left(\because \dfrac{dx}{dt} = v \right)[/tex]
μ₀ = 4·π × 10⁻⁷ H/m
We get;
[tex]e = \dfrac{4\cdot \pi \times 10^{-7} \, H/m\times50 \, A \times 0.5 \, m\times 0.06 \, m}{2 \cdot \pi} \times \left (\dfrac{1}{(0.05 \, m)^2} \right ) \times 0.2 \ m/s = 2.4 \times 10^{-5} \, V[/tex]
The induced emf, e = 2.4 × 10⁻⁵ V
A sled with mass 11.00 kg moves in a straight line on a frictionless horizontal surface. At one point in its path, its speed is 4.00 m/s; after it has traveled a distance 3.00 m beyond this point, its speed is 7.00 m/s. Use the work-energy theorem to find the force acting on the sled, assuming that this force is constant and that it acts in the direction of the sled's motion.
Answer:
The magnitude of the force acting on the sled is 60.5 newtons.
Explanation:
The Work-Energy Theorem states that the work done by the external force applied on the sled ([tex]W[/tex]), in joules, is equal to the change of its translational kinetic energy ([tex]\Delta K[/tex]), in joules:
[tex]W = \Delta K[/tex] (1)
By definitions of work and translational kinetic energy we expand the equation above:
[tex]F\cdot s = \frac{1}{2}\cdot m\cdot (v_{2}^{2}-v_{1}^{2})[/tex] (1b)
Where:
[tex]F[/tex] - External force applied on the sled, in newtons.
[tex]s[/tex] - Travelled distance, in meters.
[tex]v_{1}, v_{2}[/tex] - Initial and final velocities, in meters per second.
If we know that [tex]m = 11\,kg[/tex], [tex]v_{1} = 4\,\frac{m}{s}[/tex], [tex]v_{2} = 7\,\frac{m}{s}[/tex] and [tex]s = 3\,m[/tex], then the external force applied on the sled is:
[tex]F = \frac{m\cdot (v_{2}^{2}-v_{1}^{2})}{2\cdot s}[/tex]
[tex]F = \frac{(11\,kg)\cdot \left[\left(7\,\frac{m}{s} \right)^{2}-\left(4\,\frac{m}{s} \right)^{2}\right]}{2\cdot (3\,m)}[/tex]
[tex]F = 60.5\,N[/tex]
The magnitude of the force acting on the sled is 60.5 newtons.
one of the rectangular components of the velocity 40ms^1 is 20 ms^1. find the other components
Answer:
The other component is 17.32m/s.
For more information
lemme so you how to solve it!
given velocity v = 20 m/s
let the given rectangular component is
cos somponent, so 10 = v cos x
so, other component will be sin component
i.e., v sin x
or, 10 = 20 cos x
or, cos x = 1/2
and as sin^2 x + cos^2 x = 1
or, 1 - cos^2 x = sin^2 x
or, 1 - (1/2)^2 = sin^2 x
so, sin x = sqrt( 1 - 1/4)
or, sin x = sqrt(3/4)
so, rectangular component is
20 sin x = 20 sqrt(3/4)
= 10 sqrt3
= 17.32 m/s
Explanation:
hope to help you (:
Una prenda de 320gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene 40 cm y gira con una frecuencia de 4 hz halla el periodo la velocidad angular la fuerza con la que gira la prenda y la velocidad lineal de la lavadora
Answer:
Período del tambor: [tex]T = 0.25\,s[/tex], fuerza sobre la prenda: [tex]F \approx 80.852\,N[/tex], velocidad lineal del tambor: [tex]v \approx 10.053\,\frac{m}{s}[/tex], velocidad angular del tambor: [tex]\omega \approx 25.133\,\frac{rad}{s}[/tex].
Explanation:
La expresión tiene un error por omisión, su forma correcta queda descrita a continuación:
"Una prenda de 320 gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene un radio de 40 centímetros y gira con una frecuencia de 4 hertz. Halle a) el período, b) la velocidad angular, c) la fuerza con la que gira la prenda y d) la velocidad lineal de la lavadora."
El tambor gira a velocidad angular constante ([tex]\omega[/tex]), en radianes por segundo, lo cual significa que la prenda experimenta una aceleración centrífuga ([tex]a[/tex]), en metros por segundo al cuadrado. En primer lugar, calculamos el período de rotación del tambor ([tex]T[/tex]), en segundos:
[tex]T = \frac{1}{f}[/tex] (1)
Donde [tex]f[/tex] es la frecuencia, en hertz.
([tex]f = 4\,hz[/tex])
[tex]T = \frac{1}{4\,hz}[/tex]
[tex]T = 0.25\,s[/tex]
Ahora determinamos la fuerza aplicada sobre la prenda ([tex]F[/tex]), en newtons:
[tex]F = m\cdot a[/tex] (2)
[tex]F = \frac{4\pi^{2}\cdot m \cdot r}{T^{2}}[/tex] (2b)
Donde:
[tex]m[/tex] - Masa de la prenda, en kilogramos.
[tex]r[/tex] - Radio interior del tambor, en metros.
([tex]m = 0.32\,kg[/tex], [tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])
[tex]F = \frac{4\pi^{2}\cdot (0.32\,kg)\cdot (0.4\,m)}{(0.25\,s)^{2}}[/tex]
[tex]F \approx 80.852\,N[/tex]
La velocidad lineal de la lavadora es:
[tex]v = \frac{2\pi\cdot r}{T}[/tex] (3)
([tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])
[tex]v = \frac{2\pi\cdot (0.4\,m)}{0.25\,s}[/tex]
[tex]v \approx 10.053\,\frac{m}{s}[/tex]
Y la velocidad angular del tambor de la lavadora:
[tex]\omega = \frac{2\pi}{T}[/tex]
([tex]T = 0.25\,s[/tex])
[tex]\omega = \frac{2\pi}{0.25\,s}[/tex]
[tex]\omega \approx 25.133\,\frac{rad}{s}[/tex]
Activity 1 MATCH IT
Directions: Match Column A to Column B. Write your answer on the space provided before the number.
COLUMN A
__1. Hiking
__2. Orienteering
__3. Zumba
__4. Volleyball
__5.badminton
COLUMN B
A. It is an outdoor navigational recreational activity using specially drawn and detailed maps.
B. Created through on-the –spot aerobics class using the non- traditional music.
C.Going on an extended walk for the purpose of pleasure and exercise.
D. Can be traced from the ingenuity of William J. Morgan in 1895 at Holyoke Massachusetts.
E. Games are held inside the gym to avoid the effect of air in the flight of the shuttle.
Answer:
1. A hiking
2. C
3. B
4. D
5. E
Given the following information, in which medium is the velocity of light the highest?
why are circuit breakers used in parts of national grid ?
Answer:
To protect control circuits or small devices with insufficient cutting power
Explanation:
What does the survey reveal about your participation in rereational activity
Answer:
uugizj8iwuu3ueugeeuieieyeueureir
1.12kg ball rolls forward with a net acceleration of 1.11ms2. What is the net force on the ball?
Explanation:
→ Force = Mass × Acceleration
→ F = (1.12 × 1.11) N
→ F = 1.2432 N
which is heavier a kilogram of iron or a kilogram of feathers?
Answer:
they both weight the same
Explanation:
they both weigh one kilo so they are the same
On Earth, 1 kg weighs 9.8 Newton's.
Doesn't matter what substance it's a kg of.
Eratosthenes measured the circumference of Earth to within 4% of the correct value
A. Looking at stick shadows on the equinox.
B. Noting how much more of the celestial sphere came into view when walking south.
C. Sighting the stars from within the deepest well in Egypt on the day of the solstice.
D. Using the detailed reports of far-sailing mariners
Answer:
A. Looking at stick shadows on the equinox.
Explanation:
He measures the circumference by placing a pole when the sun is overhead on the days of solstice. He determined the circumference by measuring the difference between Alexandria to Syene and the angle of the pole's shadow.
The equation used for the calculation of circumference is as follow
[tex]\frac{360 degrew}{7.2 degree} = \frac{Circumference of earth}{Distance from Alexandria to Syene}[/tex]
Please refer to the following link for more details
https://www.khanacademy.org/humanities/big-history-project/solar-system-and-earth/knowing-solar-system-earth/a/eratosthenes-of-cyrene
Which of the following are
matter?
Chair, air, love, smell, hate,almonds, thought, cold, cold-drink, smell of perfume.
Answer:
everything except smell,hate,love,cold
Answer:
chair, air, almonds, cold-drink, smell of perfume
Explanation:
Anything that occupies space and has mass is called matter. Matter can exist in three physical states which are the:
Solid state
Liquid state
Gaseous state
therefore:
Solids: chair and almonds
Liquids: cold-drink
Gas: air and smell of perfume
•Love, smell, hate, thought, and cold are not in the category of matter/are not considered matter
•The sense of smell is not considered a form of matter. However, the smell or odour of a substance is classified as matter.
-The smell of any substance (say, perfume) is the gaseous form of that substance our olfactory system can detect (even at deficient concentrations).
Hence, the smell of some substances is considered matter.
mechanical energy that has been "lost" to friction has actually been destroyed.
Answer:
Yes
Explanation:
The friction is bigger than the mechanical energy so it kind off takes over the mechanical energy. but if the friction decreases mechanical energy can work on the object again
interconversion of states of matter
The pressure difference, , across a partial blockage in an artery (called a stenosis) is approximated by the equation where is the blood velocity, the blood viscosity , the blood density , the artery diameter, the area of the unobstructed artery, and the area of the stenosis. Determine the dimensions of the constants and . Would this equation be valid in any system of units
The question is incomplete. The complete question is :
The pressure difference, Δp, ac[tex]K_u[/tex]ross a partial blockage in an artery (called a stenosis) is approximated by the equation :
[tex]$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$[/tex]
Where V is the blood velocity, μ the blood viscosity {FT/L2}, ρ the blood density {M/L3}, D the artery diameter, [tex]A_0[/tex] the area of the unobstructed artery, and A1 the area of the stenosis. Determine the dimensions of the constants [tex]K_v[/tex] and [tex]K_u[/tex]. Would this equation be valid in any system of units?
Solution :
From the dimension homogeneity, we require :
[tex]$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$[/tex]
Here, x means dimension of x. i.e.
[tex]$[ML^{-1}T^{-2}]=\frac{[K_v][ML^{-1}T^{-1}][LT^{-1}]}{[L]}+[K_u][1][ML^{-3}][L^2T^{-2}]$[/tex]
[tex]$=[K_v][ML^{-1}T^{-2}]+[K_u][ML^{-1}T^{-2}]$[/tex]
So, [tex]$[K_u]=[K_v]=[1 ]=$[/tex] dimensionless
So, [tex]K_u[/tex] and [tex]K_v[/tex] are dimensionless constants.
This equation will be working in any system of units. The constants [tex]K_u[/tex] and [tex]K_v[/tex] will be different for different system of units.
ΡΟ. . When preparing for any of the golf variation games (golf foot golf, disc golf), a person should consider the following before they start.
O Distance
O Terrain
O Wind Speed
O All of the above
Answer:
All of the above
Explanation:
To ensure the ball go to where we expected it go
please I need the answer right now will mark you brainliest
Answer:
Explanation:
what do u need help with
Answer:
that's for frequency other answers are coming soon
Durante su práctica un atleta recorre en línea recta una distancia de 900m en un tiempo de 170 segundos. ¿Cuál fue su rapidez promedio?
Answer:
Velocidad promedio = 5.29 m/s
Explanation:
Dados los siguientes datos;
Distancia = 900 m
Tiempo = 170 segundos
Para encontrar la velocidad media;
La velocidad se puede definir como la distancia recorrida por unidad de tiempo. La velocidad es una cantidad escalar y, como tal, tiene magnitud pero no dirección.
Matemáticamente, la velocidad viene dada por la fórmula;
[tex] Velocidad = \frac{distancia}{tiempo}[/tex]
Sustituyendo en la fórmula anterior;
[tex] Velocidad = \frac{900}{170}[/tex]
Velocidad = 5.29 m/s
Por lo tanto, la velocidad promedio del automóvil es 5.29 metros por segundo.
a baseball player hits a ball with 400 n of force.how much does the ball exert on the bat
Answer:
The ball exerts a force of 400 N on the bat.
Explanation:
Given that,
A baseball player hits a ball with 400 N of force.
We need to find the force the ball exert on the bat.
We know that,
According to Newton's third law, when object 1 exerts a force on an object 2, then object 2 will exert a force on object 1 but in opposite direction.
So, the ball exerts a force of 400 N on the bat.
What happens when two polarizers are placed in a straight line, one behind the other?
A. They allow light to pass only if they are polarized in exactly the same direction.
B. They block all light if they are polarized in exactly the same direction.
C. They allow light to pass only if their directions of polarizations are exactly 90° apart.
D. They block all light if their directions of polarizations are exactly 90° apart.
E. They block all light If their directions of polarizations are either exactly the same or exactly 90° apart.
Which instrument changes kinetic energy into electrical energy?
electric motor
hair drier
electric bell
dynamo
Answer:
Dynamo
Explanation:
As we all know, there are dynamos in bicycles. When we paddle the cycle, the wheels of the cycle rotates by generating kinetic energy. When the wheels rotate, the dynamo starts to rotate. This makes the motor inside the dynamo rotates and generate electrical energy.
Two balls collide head-on in a perfectly inelastic collision. The first ball has a mass of 0.75 kg and an initial velocity of 5.0 m/s to the right. The second ball has a mass of 0.40 kg and an initial velocity of 3.5 m/s to the left. What is the decrease in kinetic energy during the collision?
Explanation:
Momentum conservation
V=3.38
Delta kinetic energy =1/2m(vi^2-v^2)
when baking soda is added to a solution of citric acid, the temperature of the solution drops.
Answer:
i dont know guy sorry ha babu
A constellation’s changing position in the sky, at the same time of the evening, over a period of several weeks is evidence that:
a- Earth is round b- Earth’s axis is tilted. c- Earth rotates on its axis.
d- Earth revolves around the sun.
Answer:
d- Earth revolves around the sun.
Explanation:
Earth rotation can be defined as the amount of time taken by planet earth to complete its spinning movement on its axis.
This ultimately implies that, the rotation of earth refers to the time taken by earth to rotate once on its axis. One spinning movement of the earth on its axis takes approximately 24 hours to complete with respect to the sun.
On the other hand, earth revolution can be defined as a complete trip along a path around the sun. This path is known as an orbit and it typically takes the Earth 365¼ days to complete it's journey around the Sun.
When a constellation (stars) changes its position in the sky, at the same time of the evening and over a period of several weeks; it ultimately implies or is an evidence that Earth revolves around the sun.
When do we have positive/negative and zero acceleration.Write down the terms..................pls help mee
Answer:
Positive acceleration is when an object is increasing its velocity, speeding up.
Negative acceleration is when an object is decreasing its velocity, slowing down from it’s motion.
Zero acceleration is when an object is either at rest or moving without speeding up or slowing down, in a constant way.
what happens if a voltmeter is connected in series with other components of the circuit (i.e , ammeter, cell, battery, resistor and wires). Why is it so?
Answer:the voltmeter measures the potential difference of the circuit,. Voltmeter is a device used to measure potential difference.
Explanation:
Which of the following is NOT a type of satellite?
a. a baseball thrown from pitcher to catcher
b. a rice bag being thrown towards a cornhole
c. a paper airplane being thrown
d. a jet ski tied to a dock
help me with this please
Answer:
Family
1. Definition of a family
A family is a group of people living together in a home related by blood, marriage or adoption.
2. Two function of the family are;
socialization for the children in the family.love and happiness should be in a family for it to be function.3. Two types of family are;
Single parent family- this family includes one parent and his or her child, we can say it's an incomplete family.nuclear family- this family includes the two parents and their children or child, this family is known as the complete family.4. Two roles and responsibilities of the parents and children in the home are;
both parents must and should protect their child or children from harm.the children must have respect for the family.Accident in the Home
1. Definition of accident in the home
accidents in the home are common to persons of all ages, therefore home accidents occurs in one's home that may cause an result an injury of a person
2. Two types of accident in the home
fallsminor cuts and wounds3. The two uses of cereals in cooking
Cereals in cooking are used as thickened agents.
4. complete table
1. minor cuts and wounds
Causes: these are caused by broken glasses, contact with sharp instruments such as knife, pins and needles.Prevention: this can be prevented by keeping the Sharp tools in safe places after used2. Poisoning
Causes: poisoning can caused by in a result from children taking tablets for sweets, which can lead to death.preventions: you can prevent this by avoiding poisoning from the from the home or you could put it at a safe place that you know the child cannot get it.Care labels
1. definition of care label
care labels can be defined as a permanent label or we can say a tag, which contains regular instructions that is attached at the back of a cloth.
3. two classification of carbohydrates
MonopolyWrite the equation which links gravitational field strength,gravitational potential energy,height and mass
Answer:
PE = mgh
Explanation:
PE is potential energy
m is mass
g is gravitational field strength
h is height
Two friends are working out together using weights:
-James lifts 20kg weights up at a velocity of 1.9m/s
-Kayla lifts 15kg weights up at a velocity of 2.6m/s
0
Which friend is creating more momentum?
Answer:
Kayla. You can calculate it using the formula for momentum: momentum=mass×velocity and find the bigger number between the two momentums
Describe the difference between a sidereal day and a solar day.
Answer:
a sidereal day is the time it takes for the earth to rotate about it axis so that the distant star appears In the same position in the sky while a solar day is the time it takes for the earth to rotate about it axis so that the sun appears in the same position in the sky