An ideal toroidal solenoid (Figure 1) has inner radius r1 = 15.1 cm and outer radius r2 = 18.3 cm. The solenoid has 180 turns and carries a current of 8.40 A.
a) What is the magnitude of the magnetic field at 12.6 cm from the center of the torus?
b) What is the magnitude of the magnetic field at 16.3 cm from the center of the torus?
c) What is the magnitude of the magnetic field at 20.7 cm from the center of the torus?
Answers
The solution for the three questions is mathematically given as
Parts A and C are both zeros.
Part B B = 0.001855Tesla
What is the magnitude of the magnetic field at 12.6 cm from the center of the torus?Parts A and C are both zeros.
For component A, the magnetic field is zero since 12.6 cm is still inside the toroidal solenoid. Part C has no magnetic field since it is 20.7 cm outside of the toroidal solenoid.
Generally, the equation for magnetic field is mathematically given as
B = (mu_0*N*I)/(2*pi*r)
Therefore
B = ((4*pi*10^{-7})*180*8.40)/(2*pi*0.163)
B = 0.001855Tesla
In conclusion, the magnitude of the magnetic field at 16.3 cm from the center of the torus is
B = 0.001855Tesla
Read more about the magnetic field
https://brainly.com/question/23096032
#SPJ1
Answer:
Part A & C: 0 T
Part B: 1.855*10^-3 T
Explanation:
The formula that models the magnetic field of a toroid is B=μ0*N*I/2π*r .
Note: Toroids keep their magnetic field rotating within the coils that carry current.
Part A & C: Thus the B field magnitude 12.6 cm & 20.7 cm away from the center is 0 T.
Part B: [tex]B=\frac{(4\pi *10x^{-7} )(180)(8.4 A)}{(2\pi )(16.3*10x^{-2} m)}[/tex]
B=1.855*10^-3 T
Related Questions
rank the three pucks in order of the magnitude of their acceleration, starting with the smallest.
Answers
The ranking of the pucks in order of magnitude of acceleration would be: B>A>C, with puck B having the greatest acceleration, followed by puck A and then puck C.
To rank the three hockey pucks in order of the magnitude of their acceleration, we need to consider the net force acting on each puck and their velocity. Since all three pucks are identical, their mass is the same, and the net force acting on each puck is 3N. Puck A is moving in the opposite direction of the force, thus the net force acting on it is in the opposite direction of its motion, resulting in a deceleration.
Puck B is instantaneously at rest, thus the net force acting on it will cause it to accelerate. Puck C is moving with a velocity of 7m/s at right angles to the force, thus the net force acting on it will cause it to move in a circular path, resulting in centripetal acceleration.
Complete Question :
Each of the three identical hockey pucks shown in the figure is acted on by a 3N force. Puck A moves with a speed of 7 m/s in a direction opposite to the force; puck B is instantaneously at rest; puck C moves with a speed of 7 m/s at right angles to the force.
Rank the three pucks in order of the magnitude of their acceleration, starting with the smallest.
Read more about acceleration :
https://brainly.com/question/26246639
#SPJ4
What do you measure a football field with?
Answers
A football field is typically measured in yards. The standard measurements for a football field are 100 yards long and 53.3 yards wide. These measurements include the end zones which are typically 10 yards deep. The field is also divided into two equal halves, each measuring 50 yards. The lines on the field are also measured in yards and are used to mark the distance for a first down, the goal line, and the sidelines. The measurements are precise and are required to be the same for all official NFL games.
Use Appendix F In The Textbook To Calculate The Binding Energy Of 2/1 H (Deuterium). Express Your Answer Using Four Significant Figures.
Answers
2344 J is the Binding Energy Of 2/1 H .
What is Energy ?
Energy, in physics the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or various other forms. There is also heat and work. H. After transmission, energy is always referred to according to its nature. Thus, the heat transferred can become thermal energy, while the work done can appear as mechanical energy. All forms of energy are associated with movement. For example, any object has kinetic energy when it is in motion. A taut device such as a bow or spring can create motion even when stationary. Because of its composition, it contains potential energy. Similarly, nuclear energy is potential energy as it results from the composition of subatomic particles within the nucleus .
To learn more about energy ,click the given link;
brainly.com/question/13881533
#SPJ4
Consider the circuit shown in (Figure 1). Assume E = 15 V
B. What is the charge on 3.0 μF capacitor?
C. What is the charge on 4.0 μF capacitor?
D. What is the charge on 6.0 μF capacitor?
Answers
All answers about capacitor is given below.
To answer these questions, we need to use the equation Q = CE, where Q is the charge on the capacitor, C is the capacitance, and E is the voltage across the capacitor.
For the 3.0 μF capacitor, the charge is Q = (3.0 μF)(15 V) = 45 μC.
For the 4.0 μF capacitor, the charge is Q = (4.0 μF)(15 V) = 60 μC.
For the 6.0 μF capacitor, the charge is Q = (6.0 μF)(15 V) = 90 μC.
To know more about capacitor click-
https://brainly.com/question/13578522
#SPJ4
Philosophy 203 Do you think it is important to rank moral rules in order of importance? How will you rank your own ethical rules or those of any other system in which you are aware? order
Answers
It can be important to rank moral rules in order of importance because it allows for clear decision-making and prioritization in situations where multiple moral considerations are present. However, ranking moral rules can also be difficult and subjective, as different individuals and cultures may place different values and priorities on different moral principles.
The principle of non-harm, which holds that it is morally wrong to cause harm to others.
The principle of autonomy, which holds that individuals should be free to make their own choices and pursue their own goals.
The principle of fairness and justice, which holds that individuals should be treated equally and that resources and opportunities should be distributed fairly.
The principle of compassion and empathy, which holds that individuals should care for and show concern for the well-being of others.
The principle of responsibility and accountability, which holds that individuals should be held responsible for the consequences of their actions.
It's important to keep in mind that everyone have different moral principles and they might have different order of importance.
It's important to note that this ranking is not definitive, and different individuals and cultures may have different priorities and values when it comes to moral principles.
Express the force that the person exerts on the ice, F, in terms of m and g You do not need to include the force of the column of air above her. r-1 ▲ 25%
Answers
The force F can be expressed as F = m*9.8 m/s2.
What is force?Force is a physical quantity that is a measure of an object's interaction with other objects. It is a vector, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, change its direction, or remain in its current state. Force is measured in newtons (N) in the SI system of units. Force is responsible for many of the phenomenon we observe in nature such as gravity and friction.
The force that the person exerts on the ice, F, can be expressed in terms of mass, m, and the gravitational constant, g, as follows: F = m*g. This force is the result of the downward acceleration of the person's mass due to gravity. The force is equal to the mass multiplied by the acceleration caused by gravity, which is 9.8 m/s2. Therefore, the force F can be expressed as F = m*9.8 m/s2.
To know more about force click-
https://brainly.com/question/12785175
#SPJ4
Use the equation below to calculate the kinetic energy of a 40 kg skater taveling at a speed of 10 m/s.
KE = 0.5 • m • v²
Answers
Answer:
2000 Joules.
Explanation:
To calculate the kinetic energy of a 40 kg skater traveling at a speed of 10 m/s, we can use the equation:
KE = 0.5 • m • v²
Where:
KE = kinetic energy
m = mass (in kg)
v = velocity (in m/s)
Substituting the given values into the equation:
KE = 0.5 • 40 kg • (10 m/s)²
KE = 0.5 x 40 kg x 100 m²/s²
KE = 2000 Joules
So, the kinetic energy of a 40 kg skater traveling at a speed of 10 m/s is 2000 Joules.
in solving an exponential equation, which of the following is not a sound technique to use?
A. If the exponential equation has the form abc, first divide both sides by the constant a
B. If the exponential equation has the form ab* -c, first take the log of both sides and then bring down
C. If the exponential equation cannot be written in the form b-b", "take the log of both sides" and then
D. Finst by writing the exponential equation in the form b-b" and then solving u-v
Answers
In solving an exponential equation, If the exponential equation has the form ab^x=c, first "take the log of both sides" and then "bring down any exponents".
Consider the case where you have given a log of x plus 3 and it equals 10. There is no base because this is the common log. It is a log base 10 if there is no base. In this case, log base 10 of x + 3 equals 2. A log is a time expression. In this case if we take log on both sides we will get constant logC on the RHS and Xlogab on the LHS. we can put log(ab)= loga + logb. X will stay as a product. In this case, we can not cut logs from both sides. So the equation will be harder to solve. this is why taking log on both sides is not a sound technique, especially when exponents are involved.
For log of exponents, check out this link:-
https://brainly.com/question/29775602
#SPJ4
What image is produced by placing an object 4 cm away from a convex lens of focal length 8 cm? draw the ray diagram and discuss the obtain result
Answers
The image is formed 8cm in front of the lens and is a real image.
What is the nature of the image?We would have to remind ourselves that if we are looking at the lens then we have to be looking at any reflecting surface that we know. There are two kinds of lens that we have, we have the concave and the convex lens.
We know that the focal length of the convex lens is positive thus we have;
1/f = 1/u + 1/v
f = focal length
u = object distance
v = image distance
Thus;
1/8 = 1/4 - 1/v
1/v = 1/4 - 1/8
v = (0.25 - 0.125)^-1
v = 8 cm
Learn more about convex lens:https://brainly.com/question/27038900
#SPJ1
An approximate equation for the efficiency (in percent) of an engine is: E=100×(1−1/5√R2)
where R is the compression ratio. Find R if E=4[a].[e][d] Round the answer to two decimal places.
Note if:[a]=2,[e]=1, then 4[a].[e][d]=42.13.
Work this custom problem about the exponential and logarithmic functions using the techniques in this module.
Answers
The ratio of compression R for the equation E=100×(1-1/5×[tex]\sqrt{R^{2} }[/tex] ) is approximately 2.89.
Efficiency is described by the equation E=100×(1-1/5×[tex]\sqrt{R^{2} }[/tex] )
We may enter this value into the equation to determine the value of R since E = 42.13.
E=100×(1-1/5×[tex]\sqrt{R^{2} }[/tex] ) = 42.13
Solving for R, we get:
1-1/5×[tex]\sqrt{R^{2} }[/tex] = 0.4213
1/5×[tex]\sqrt{R^{2} }[/tex] = 0.5787
[tex]\sqrt{R^{2} }[/tex] = 2.8935
R² = 8.3838
R = [tex]\sqrt{8.3838}[/tex]
R = 2.89
2.89 is the result of rounding the answer to two decimal places.
Learn more about compression ratio at
https://brainly.com/question/29704328
#SPJ4
For the situation shown on figure on the right, what is the angle of incidence? Starting with n_1 sin i = n_2 sin r, show that the value of i when r = 90 degrees is given by sin^-1 (n_2/n_1). This value of i is usually designated as i_C, the angle for total internal reflection. For what condition on n_1 and n_2 does this expression make sense? What is meant by the critical angle for total internal reflection? If the light shines from water (n = 1.33), calculate the critical angle for total internal reflection.
Answers
1. Condition on n_1 and n_2 for which this expression make senses is -
The incident ray, the refracted ray, and the normal at the point of incidence all reside in the same plane, according to Snell's equation of refraction. For the given pair of media, the sine of the angle of incidence to the sine of the angle of refraction ratio is constant.
2. The critical angle is the angle of incidence at which total internal reflection occurs instead of just refraction when the angle of refraction is 90 degrees. Total internal reflection is an optical phenomena where waves arriving at the interface between two media entirely reflect back into the first medium instead of being refracted into the second.
3. When a light beam travels from the water (n=1.33) to the air (n=1), the critical angle is 48 degrees. This implies that all light rays will be (a) completely absorbed by the water if their angles of incidence in the water are larger than 48 degrees.
To learn more about critical angle from given link
https://brainly.com/question/7282578
#SPJ4
Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among
a. middle-aged women.
b. middle-aged men.
c. people 20 and over
d. people 19 and under.
Answers
The answer is (d) i.e. People 19 and under.
Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among people 19 and under.
The twenty-first century has seen a dramatic rise in the prevalence of the bipolar disorder among people aged 19 and under. This increase is likely due to a combination of factors, such as improved awareness and diagnosis of the disorder and changes in lifestyle and environment. For instance, increased stress and pressure due to digital technology, social media, and academic demands are thought to be contributing to the rise in bipolar disorder.
Additionally, changes in diet and sleep habits due to the convenience of digital technology may also be contributing to the increased prevalence of the disorder. Ultimately, the rise in bipolar disorder is concerning, and further research is needed to understand and address the factors driving this increase.
To learn more about Bipolar Disorder:
brainly.com/question/10958617
#SPJ4
What is the mass of an object on Mercury that weighs 784 N on the earth's surface?
120kg
60kg
80kg
Answers
Important Formulas:
[tex]F=ma[/tex]
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
[tex]F=784N[/tex]
[tex]a=9.8m/s^2[/tex] (acceleration due to gravity)
[tex]m=?[/tex]
__________________________________________________________
Rearranging force formula to make mass the subject:
[tex]F=ma[/tex]
[tex]\dfrac{F}{a} =\dfrac{ma}{a}[/tex]
[tex]m=\dfrac{F}{a}[/tex]
__________________________________________________________
Finding mass:
[tex]m=\dfrac{F}{a}[/tex]
[tex]m=\dfrac{784}{9.8}[/tex]
__________________________________________________________
[tex]\fbox{m = 80kg}[/tex]
Part A
Treating the wing as an ideal spring, find the force constant of the wing.
Part B
Treating the wing as an ideal spring, find the energy stored in the wing when it is deflected.
Part C
What force must be applied to the tip of the wing to store twice the energy found in part (b)?
Answers
K=0.729 N/m is the correct answer .
What is Energy ?
Energy, in physics the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or various other forms. There is also heat and work. H. After transmission, energy is always referred to according to its nature. Thus, the heat transferred can become thermal energy, while the work done can appear as mechanical energy. All forms of energy are associated with movement. For example, any object has kinetic energy when it is in motion. A taut device such as a bow or spring can create motion even when stationary. Because of its composition, it contains potential energy. Similarly, nuclear energy is potential energy as it results from the composition of subatomic particles within the nucleus .
To learn more about energy ,click the given link;
brainly.com/question/13881533
#SPJ4
. A 90kg gymnast comes to a stop after
tumbling. Her feet do 4000J of work to stop
her.
Which of the following was the girl's velocity
when she began to stop?
Answers
The solution, based on the stated statement, was 10 m/sec when she started to halt.
What is work energy theorem ?According to the work-energy theorem, the net work performed by forces acting on an item equals the change in kinetic energy.
Mobility (kinetic energy) and storing mechanical energy are the two forms (potential energy).
The change there in particle's thermal energy is equal to the net work performed on the particle: W = K B - K A
The relationship between kinetic energy and an object's mass and squares of its velocity is direct: K.E. = 1/2mv². The kinetic energy is measured in kilograms-meters squared each for a second squared if the mass is measured in kg and the velocity is measured in meters per second.
To learn more about work-energy theorem refers to:
https://brainly.com/question/15598542
#SPJ1
(a) Is the velocity of car A greater than, less than, or the same as the
velocity of car B?
(b) Is the initial position of car A greater than, less than, or equal to the
initial position of car B?
(c) In the time period from t = 0 tot = 1 s, is car A ahead of car B,
behind car B, or at the same position as car B?
Answers
Answer: the velocity of car A greater than Car b
Explanation: what is velocity?
Velocity is the parameter which is different from speed, can be defined as the rate at which the position of the object is changed with respect to time, it is basically speeding the object in a specific direction in a specific rate.
Velocity is a vector quantity which shows both magnitude and direction and The SI unit of velocity is meter per second (ms-1). If there is a change in magnitude or the direction of velocity of a body, then it is said to be accelerating.
represented by the equation v = Δs/Δt.
A 75kg passenger is riding the cliffhanger barrel ride at the fair. If the barrel radius is 4m and the coefficient of friction between the rider and the wall is 0.5, what is normal force the rider experiences and the minimum speed the ride can turn so that the rider doesn't slide down the wall?
Normal force = ___ N
Min speed = ____ m/s (round to the nearest tenth)
Answers
Answer: The normal force the rider experiences is the sum of the gravitational force acting on the rider and the friction force acting between the rider and the wall of the barrel.
Normal force = gravitational force + friction force
The gravitational force acting on the rider can be calculated using the weight of the rider, which is the mass of the rider multiplied by the acceleration due to gravity:
Weight = mass * acceleration due to gravity
Weight = 75 kg * 9.8 m/s^2 = 735 N
The friction force acting between the rider and the wall of the barrel can be calculated using the coefficient of friction and the normal force:
Friction force = coefficient of friction * normal force
Solving for the normal force, we get:
Normal force = Weight / (1-coefficient of friction) = 735 N / (1-0.5) = 1470 N
To find the minimum speed the ride can turn so that the rider doesn't slide down the wall, we can use the formula
velocity = square root of ( (Normal force * radius ) / (mass))
Minimum speed = √(1470 N * 4 m / 75 kg) = 14.5 m/s (round to the nearest tenth)
What gauge pressure (P) must a pump generate to propel water from ground level
through a hose to a fifth-floor studio apartment that is on fire at an elevation of 15.5
m (H)? The density (D) of freshwater is 1000 kg/m³.
Answers
If your well water pressure is higher than what is considered typical (between 40 and 60 psi), you should change the pressure switch.
How much pressure is needed in ground based water pipes to pump?The low water pressure is frequently restricted by codes to 20 psi, unless certain fixtures, like flush valves, call for higher pressures. However, for the comfort of the end users, a minimum pressure of 40 psi is advised.The high-pressure pump, a centrifugal pump with a head range of 200 to 1200 m, is employed, for instance, in pressure boosting systems. Other application areas make use of low-pressure, medium-pressure, or super-pressure pumps.A hollow cylinder and a spiral component—which can be placed inside or outside the cylinder—make up the Archimedes screw. A low-lying fluid source is where one end is placed, and a higher discharge location is where the other end is tilted up into.To learn more about pressure refer to:
https://brainly.com/question/30220203
#SPJ1
is resolution greater with blue light or red light, all other factors being equal?
Answers
Blue light has a shorter wavelength than red light, so it would be expected to have a greater resolution. However, resolution is not solely determined by the color of light used.
Blue light has a shorter wavelength than red light, which allows it to be focused to a smaller spot and produce a higher resolution image. When it comes to resolution, blue light has an advantage over red light due to its shorter wavelength. This is because, shorter wavelength light can be focused to a smaller spot, which results in a higher resolution image, as the image details are captured in a smaller space.
There are other factors that also play a role in the resolution of an image, such as the size and quality of the lens, as well as the sensitivity of the camera or sensor used. A good quality lens with high resolution capabilities, regardless of the color of light it is using, can produce a high resolution image. Similarly, a high sensitivity camera or sensor will also lead to a higher resolution image. In summary, while blue light has an inherent advantage over red light when it comes to resolution, other factors such as the lens and camera or sensor used also play a crucial role in determining the resolution of an image.
To learn more about resolution,
https://brainly.com/question/24769299
#SPJ4
A "burning glass" used to concentrate sunlight in a tiny spot is a. A) converging lens. B) diverging lens. C) either. D) neither.
Answers
Option A) converging lens , is the correct answer
What is lens ?
A lens is a transparent material, usually circular, with two polished surfaces, one or both of which are curved, either convex (curved) or concave (deep). Curves are almost always spherical. That is, the radius of curvature is constant. Lenses have the valuable property of producing images of objects in front of us. Singlet lenses are used in eyeglasses, contact lenses, pocket magnifiers, projection condensers, signal lights, viewfinders, and simple box cameras
To learn more about lens ,click the given link;
https://brainly.com/question/28039799
#SPJ4
If a marathon runner runs an average speed of 11 miles/hour for three hours. How far did the runner run in the three hours?
Answers
Answer: 33 miles
Explanation: multiply 3x11 which equals 33
Answer: 33 miles
Explanation:
All of the following images can be formed by a converging lens except which one?
Select one:
a. image at infinity
b. virtual, inverted, and same size
c. real, inverted, and reduced
d. real, inverted, and same size
Answers
When an object is positioned in front of the focal point of a converging lens, a virtual image is created. The image is magnified and upright in this posture, making it simpler to view.
The image is actual and inverted as long as the object is outside of the focal point. The image becomes virtual and upright when the object is inside the focal point. When the item is positioned inside the focal length, converging lenses can also create virtual images. Since it will be farther away from the lens than the object in that scenario, the virtual picture will be upright and expanded.
Learn more about focal length here-
https://brainly.com/question/29870264
#SPJ4
m
A0.15 kg ball is thrown with a speed of v= 5.0 at a resting stick that can rotate around
one end at axis O. The ball hits the stick at r=0.50 m from O as shown below.
VS
r
O
What is the angular momentum of the ball about axis O before hitting the stick?
Answer using a coordinate system where counterclockwise is positive.
Round answer to two significant digits.
kg-m²
Answers
If the ball of mass is 0.15 kg is thrown with a speed of 5 m/s then the angular momentum of the ball about axis O is 0.38 Kg-m² /s .
What do you mean angular momentum?Any rotating object's characteristic defined by moment of inertia times angular velocity. It is a property of rotating bodies determined either by sum of their inertia moment and angular velocity.
mass of ball (m) = 0.15 Kg
velocity of the ball (v) = 5 m/s
Radius (r) = 0.50 m
from the angular momentum formula (L) =
⇒ L = m×v×r
⇒ L = 0.15×5.0×0.50
⇒ L = 0.38 Kg-m²/s
To know more about Angular momentum visit :
brainly.com/question/30214327
#SPJ1
The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel.
Part A
If this is its height in winter when its temperature is -8.00 ∘C , how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 42.0 ∘C ?
Express your answer in feet to two significant figures
Part B
Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees.
Express your answer to two significant figures.
Answers
The coefficient of linear expansion of steel is 57.4ft/F of an Eiffel Tower in Paris which is 984 ft tall and is made mostly of steel.
Given the height of Eiffel Tower (L1) = 984ft
Let the additional height be L2.
Temperature in winter (T1) = -8∘C = 17.6F
Temperature in summer (T2) = 42∘C = 107.6F
Let the coefficient of linear expansion of steel = αL
We know that ΔL = αLΔT , L represents the change in length, T represents the change in temperature, and αL is the linear expansion in the formula for linear thermal expansion.
So, as L α T such that L1/L2 = T1/T2
984/L2 = 17.6/107.6
L2 = 984/0.16 = 6150ft
αL = ΔL/ΔT = (L2-L1)/(T2-T1) = 6150-984/107.6-17.6 = 57.4ft/F
Hence the coefficient of linear expansion of steel is 57.4ft/F
To learn more about linear expansion click here https://brainly.com/question/14780533
#SPJ4
is a histogram showing the speeds of the molecules in a very small gas. What are (a) the most probable speed, (b) the average speed, (c) the rms speed?
Answers
Answer: b
Explanation: i did this before lol
What forces do electric fields represent?
A.They represent forces that are in contact with each other.
B.They represent non-contact electrical forces.
C.They only represent forces between objects with different charges.
D.They only represent forces between objects of the same charge.
Answers
Answer:
B. They represent non-contact electrical forces
Find the change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moves from A⇒B given that the change in EP (ΔU) between the points is 24V
Answers
The change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moving from A⇒B given that the change in EP (ΔU) between the points is 24V are 5.28 x 10⁻⁵ J and 2.64 x 10⁻⁵ J respectively.
How can we calculate the change in electric energy using the given equations?The change in electric potential energy (ΔU) can be calculated using the equation ΔU = qΔV, where q is the charge and ΔV is the change in electric potential between the two points.
For a charge of 2.2 x 10⁻⁶ c moving from A to B:
ΔU = (2.2 x 10⁻⁶ c)(24 V) = 5.28 x 10⁻⁵ J
For a charge of -1.1 x 10⁻⁶ c moving from A to B:
ΔU = (-1.1 x 10⁻⁶ c)(24 V) = -2.64 x 10⁻⁵ J
The negative sign on the second case indicates that the work done would be done against the direction of the electric field and thus the energy would be absorbed from the field.
Therefore, the correct answers are as given above.
learn more about change in electric energy: https://brainly.com/question/12995630
#SPJ1
A 7.30 kg sign hangs from two wires. The first wire is attached to the left end, and pulls 28.0 N directly left. What is the y-component of the force of the second wire?
Answers
Answer:
Approximately [tex]71.6\; {\rm N}[/tex] (assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex].)
Explanation:
Refer to the diagram attached. Forces on this object are:
Tension on the left, from the wire on the left end.Tension on the right, from the wire on the other end.Weight, from the planet.Assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex], the magnitude of the weight of the sign would be:
[tex]\begin{aligned}(\text{weight}) &= m\, g \\ &= (7.30\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}) \\ &\approx 71.6\; {\rm N}\end{aligned}[/tex].
Note that weight points downwards (negative) and is entirely in the vertical direction. As a result, the [tex]y[/tex]-component of weight would be equal to [tex](-71.6)\; {\rm N}[/tex].
Hence, the [tex]y[/tex]-component of these forces would be:
[tex]0\; {\rm N}[/tex] for the wire on the left end, since this tension is entirely horizontal (entirely in the [tex]x[/tex]-direction,)[tex](-71.6)\; {\rm N}[/tex] for the weight, which points downwards, andNot yet found for the tension from the other wire.Since forces on the object to be balanced, forces need to be balanced in each component. For forces in the [tex]y[/tex]-component to be balanced, forces in the vertical direction need to add up to [tex]0\; {\rm N}[/tex]:
[tex]0\; {\rm N} + (-71.6)\; {\rm N} + (\text{$y$-component of tension on the right}) = 0\; {\rm N}[/tex].
Hence, the [tex]y[/tex]-component of the tension from the wire on the right end would be [tex]71.6\; {\rm N}[/tex].
The figure(Figure 1) shows the angular acceleration graph of a turntable that starts from rest. What is the turntable's angular velocity at t = 1.5 s? Express your answer to two significant figures and include the appropriate units.
Answers
The turntable's angular velocity at t = 1.5 s is 1.5 rad /s from the angular acceleration graph.
What is the relationship between angular velocity and acceleration?When there is non-uniform circular motion, the rate of change in angular velocity (i.e., angular acceleration) is =t. = t. A t = v t denotes linear or tangential acceleration, which describes changes in velocity's magnitude but not its direction.
The turntable's angular velocity at t = 1.5 s
Angular acceleration( α )from the figure at t=1.5 s is 1 rad/s2.
α => ω / t
ω => α x t = 1 rad/s2 x 1.5 s
=> 1.5 rad /s
Are the directions of angular velocity and acceleration the same?The angular acceleration points in the same direction as the angular velocity if the angular velocity is rising and growing. The angular acceleration points in the opposite direction of the angular velocity if the angular velocity is decreasing.
Learn more about angular velocity here:
brainly.com/question/29557272
#SPJ4
A car is on aslope of 10⁰ above the horizontal. A force of 1000N is applied to the car line of of the slope. the car has amass of 500Kg. what is the accelratoin of the car.
Answers
The acceleration of the car due to force applied is 0.298 m/s^2.
What forces are present on a slope?There are two parts to the gravitational force acting on a slope. They are the driving force (fs) that pushes the block down the hill and the friction-producing normal force (fn) that pushes into the slope.ma = F (applied) - mgsinФ
m = mass = 500Kg; a = acceleration; F (applied) = Applied force = 1000N
Ф = angle of slope = 10⁰; g = Acceleration due to gravity = 9.8 m/s^2
500 x a = 1000 - (500 x 9.8 x sin10);
a =[ 1000 - (500 x 9.8 x sin10)] / 500;
= 0.298 m/s^2.
Which two forces contribute most significantly to slope stability?Two elements ultimately affect the stability of the slope. They are the slope's angle and the strength of the materials used to construct it.
Learn more about acceleration here:
brainly.com/question/12550364
#SPJ1