Answer:
The distance is [tex] s = 2.3 \ m [/tex]
Explanation:
From the question we are told that
The frequency of the current is [tex]f = 10\ kHz = 10 *10^{3} \ Hz[/tex]
The magnitude of the current is [tex]I_o = 0.5\ Amps[/tex]
The number of turns is [tex]N = 150\ turns[/tex]
The diameter is [tex]d = 30 mm = 0.03 \ m[/tex]
The detection level is [tex]V_{rms} = 200 \mu V = 200 * 10^{-6} \ V[/tex]
Generally the radius is mathematically represented as
[tex]r = \frac{d}{2}[/tex]
=> [tex]r = \frac{0.03}{2}[/tex]
=> [tex]r 0.015 \ m [/tex]
Generally the magnetic field generated by the fence is mathematically represented as
[tex]B = \frac{\mu_o * N * I}{2 * \pi * s}[/tex]
Here s is the point where the do will feel the magnetic field
[tex]\mu_o[/tex] is the permeability of free space with value [tex]\mu_o = 4\pi * 10^{-7} N/A^2 [/tex]
So
[tex]B = \frac{ 4\pi * 10^{-7} * 150 * I}{2 * 3.142 * s}[/tex]
Generally the magnetic flux is mathematically represented as
[tex]\Phi = B * \pi * r^2[/tex]
=> [tex]\Phi = \frac{ 4\pi * 10^{-7} * 150 * I}{2 * 3.142 * s} * \pi * r^2[/tex]
=> [tex]\Phi = \frac{2.121 *10^{-8} * I }{s}[/tex]
Generally the induced emf is mathematically represented as
[tex]\epsilon =- \frac{d \Phi}{dt}[/tex]
=> [tex]\epsilon =- \frac{ 2.121 *10^{-8} }{ s } * \frac{d I}{dt}[/tex]
Generally the angular frequency is mathematically represented as
[tex]w = 2 \pi f[/tex]
=> [tex]w = 2 * 10*10^{3} \pi [/tex]
=> [tex]w = 20000 \pi [/tex]
So the current is mathematically represented as
[tex]I = I_o sin (wt)[/tex]
=> [tex]I = I_o sin ( 20000 \pi * t)[/tex]
So
[tex]\epsilon =- \frac{ 2.121 *10^{-8} }{ s } * \frac{d [ I_o sin ( 20000 \pi * t)]}{dt}[/tex]
[tex]\epsilon =- \frac{ 2.121 *10^{-8} }{ s } * I_o * 20000 \pi [ cos ( 20000 \pi * t) [/tex]
[tex]\epsilon =- \frac{ 2.121 *10^{-8} }{ s } * 0.5 * 20000 \pi [ cos ( 20000 \pi * t) [/tex]
[tex]\epsilon =- \frac{ 6.6*10^{-4} }{ s } [ cos ( 20000 \pi * t) [/tex]
Here the
[tex]\epsilon_{rms} = \frac{ \frac{ 6.6*10^{-4} }{ s }}{\sqrt{2} }[/tex]
=> [tex]\epsilon_{rms} = \frac{ 6.6*10^{-4} }{ s\sqrt{2} }[/tex]
But from the question we are told that [tex]V_{rms} = 200 \mu V = 200 * 10^{-6} \ V[/tex]
So
[tex]\frac{ 6.6*10^{-4} }{ s\sqrt{2} } = 200 * 10^{-6}[/tex]
=> [tex]6.6*10^{-4}= 2.8284 *10^{-4} * s[/tex]
=> [tex] s = 2.3 \ m [/tex]
Which of the following represents an example of thermal energy?
O a
Saxophone
Ob
Oven
с
Powerlines
Od
Windmill
Answer:
The answer of this question is windmill
For a balloon to rise in the air, the lifting force
must be greater than which force: Gravity,
Normal, or Friction?
Help please
Mark brainlist
Answer:
gravity
Explanation:
The fuel is ignited in a model rocket sitting on a launch pad, which blasts the rocket upward. The rocket goes up because: Group of answer choices air friction pushes on the escaping fuel. the downward force of gravity is less than the downward momentum of the fuel. None of the above. the fuel pushes on the launch pad. the downward force of gravity is greater than the downward momentum of the fuel.
Answer: The fuel pushes on the launch pad.
Explanation: This is a case of Newton's Third Law of Motion which states for every action in nature, there is an opposite and equal reaction.
Inside the rocket, the fuel is combusted creating a force that exerts on the launch pad by pushing it. As a reaction, the pad pushes the rocket upward, allowing it to go up. This is an example of Newton's Third Law of motion.
A graph of kinetic energy vs the mass of an object is ______________?
Answer:
The shape of the MASS vs ENERGY graph has a NON-LINEAR RELATIONSHIP.
Explanation:
Your Welcome Friend! :)
A graph of kinetic energy vs the mass of an object is non-linear.
What is the nonlinear relationship?
Changes in the output are not proportional to changes in any of the inputs in a nonlinear connection.
When a linear connection is plotted on a graph, it produces a straight line; however, when a nonlinear relationship is plotted on a graph, it produces a curve.
When graphed, motion energy is proportional to the mass of the moving item, resulting in a linear connection, and it expands with the square of its speed, resulting in a non-linear relationship.
Hence a graph of kinetic energy vs the mass of an object is non-linear.
To learn more about the nonlinear relationship refer to the link;
https://brainly.com/question/14304469
Dillon wants to go to the park to play basketball. To get to the park, he must travel 9 km East, and then 6 km South, then 9 Km West. Calculate the distance
Answer:
24 km
Explanation:
9 + 9 + 6 = 24
The answer pleaseeeeeee
Two forces are described below:
Force 1: The squeezing force applied to remove water from a wet cloth
Force 2: The gravitational force exerted by Earth on the moon
Which statement is true about the forces? (3 points)
Both are contact forces.
Both are non-contact forces.
Force 1 is a non-contact force and Force 2 is a contact force.
Force 1 is a contact force and Force 2 is a non-contact force.
Answer:
its Force 1 is a contact force and Force 2 is a non-contact force.
Explanation:
I took the test!
Answer:
Force 1 is a contact force, Force 2 is a non-contact force :)
Explanation:
Because Force 1 is an object touching something and Force 2 is a force that is not touching something (hope this helps)
Which of the following is the primary force that shapes the Earth's landscape?
A source of sound produce waves in air of wavelength 3.42m . If the speed of sound in air is 330m/s, What is the period of vibration?
Explanation:
wavelength=3.42m
velocity=330m/s
T=?
v=f×wavelength
f=330÷3.42
f=96.5Hz
T=1/f
=1/96.5
T=0.01s
Question 11(Multiple Choice Worth 3 points)
(01.01 LC)
Which of the following actions will decrease the gravitational force between two objects?
o
Increasing the mass of the objects
d
Increasing the density of the objects
O
Increasing the distiyance between the objects
Increasing the temperature of the objects
Answer:
Explanation:
The only thing that decreases the gravitational pull between 2 objects is if you increase the distance.
The formula is F = G*m*m/r^2
As r^2 gets larger and G and m1 and m2 remain the same, F has to get smaller because r^2 divides into G*m1*m2
A net force of 500 newtons causes
an object to accelerate at a rate of
5.0 m/s2. What is the mass of the
object?
A - 100 kg
B - .20kg
C - 600 kg
D - 2500 kg
Answer:
The answer is option AExplanation:
To find the mass of an object given it's acceleration and the force acting on it we use the formula
[tex]mass = \frac{force}{acceleration} \\ [/tex]
From the question
force = 500 N
acceleration = 5.0 m/s²
We have
[tex]mass = \frac{500}{5} \\ [/tex]
We have the final answer as
100 kgHope this helps you
If you hold a piece of copper wire in an open flame, which of the following will most likely happen?
The heat will travel through the wire to your hand.
The light will change into electricity.
The flame will absorb heat from the wire.
The ſame will get brighter.
Answer:
The heat will travel through the wire to your hand.
Explanation:
Thats the one that makes the most sense.
If the length of an ax is 20 cm and the width is 5 cm what is the MA of a knife?
O 2
0 4
O 10
O6
Answer:
4
Explanation:
From the question given above, the following data were obtained from:
Length of an axe = 20 cm
Width = 5 cm
Mechanical advantage (MA) =.?
The mechanica advantage is simply defined as the ratio of the length to the width of the axe. Mathematically, it is expressed as:
Mechanical advantage = length /width
With the above formula, we can obtain the mechanical advantage of the axe as follow:
Length of an axe = 20 cm
Width = 5 cm
Mechanical advantage (MA) =.?
MA = 20/5
MA = 4
Therefore, the mechanical advantage (MA) of the axe is 4
When two objects collide and stick together, what will happen to their speed, assuming momentum is conserved?
Answer:
They will move more slowly.
Explanation:
When the two objects stick together, they can be treated like one larger mass. By increasing mass, and keeping momentum the same, velocity must decrease (a larger object moves slower if all other variables stay the same) by p = mv.
Give reasons.
A stone thrown upward returns back to the earth surface.
Answer:
Gravity
Explanation:
Due to earths gravity, anything that goes into the air returns back to the surface unless it is given the ability to fly.
Hope this helps!
3. A substance has a density of 19.3 g/ml. What is the volume of 20.2 g of the
substance? Hint: density can be used as a conversions factor
Answer:
The answer is 1.05 mLExplanation:
The volume of a substance when given the density and mass can be found by using the formula
[tex]volume = \frac{mass}{density} \\ [/tex]
From the question we have
[tex]volume = \frac{20.2}{19.3} \\ = 1.04663212...[/tex]
We have the final answer as
1.05 mLHope this helps you
If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?
Complete question:
A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0×10⁶ N/m2 .
If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?
Answer:
The elastic potential energy of the material is 0.036 J
Explanation:
Given;
Young's modulus, E = 2.0×10⁶ N/m²
Thickness of the abductin, l = 3.1 mm = 0.0031 m
compression of the abductin, x = 1.5 mm = 0.0015 m
area, A = 0.49 cm² = 0.49 x 10⁻⁴ m²
Young's modulus for elastic material is given by;
[tex]E = \frac{stress}{strain} = \frac{Fl}{Ax} \\\\ E = \frac{F}{x}*\frac{l}{A}\\\\ E = k*\frac{l}{A}\\\\k = \frac{AE}{l}\\\\k = \frac{(0.49 x10^{-4})(2*10^6)}{0.0031}\\\\ k = 31,612.9 \ N/m[/tex]
The elastic potential energy of the material is given by;
U = ¹/₂kx²
U = ¹/₂(31,612.9)(0.0015)²
U = 0.036 J
Therefore, the elastic potential energy of the material is 0.036 J
A child (mass Me) pulls a sled (mass Ms) holding a baby (mass m) across the snow (assume the snow is frictionless). When the child starts the sled moving the baby brother slips off the sled instead of moving with the sled. The child tries again with a slightly smaller force and the baby stays on the sled due to the friction between the baby and the sled. Write a symbolic solution for the coefficient offriction between the baby and the sled if the maximum acceleration ofthe sled for the baby to stay on the sled is a. The solution may include the variables MC: Ms, m: a and g but does not need to have all ofthem_ The computer Ivill not recognize any other variables. Do not include any numbers (or the in your answer). Fill in the blank
Answer:
symbolic solution for the coefficient of friction between the baby and the sled is
[tex] \mu = \frac{m + M_s}{m} * \frac{a}{g}[/tex]
Explanation:
From the question we are told that
The mass of the boy is [tex]M_e =[/tex]
The mass of the shed is [tex]M_s[/tex]
The mass of the baby is [tex]m[/tex]
The maximum acceleration for the baby to stay is a
Generally the frictional force between the baby and the shed is mathematically represented as
[tex]F_f = \mu N[/tex]
Here N is the normal force acting on the baby which is mathematically represented as
[tex]N = m * g[/tex]
=> [tex]F_f = \mu * m * g[/tex]
Now for the baby not the slip off the shed the frictional force between the baby and the shed must be equal to the the force applied by the child
The force applied by the child is mathematically represented as
[tex]F = [M_s+m] * a[/tex]
So
[tex] \mu * m * g = [M_s+m] * a[/tex]
=> [tex] \mu = \frac{m + M_s}{m} * \frac{a}{g}[/tex]
Explain why a golf ball that is hit on the moon travels much farther than a golf ball that is hit with the same force on Earth.
Answer:
the reason why is that if it is hit with the same force the moon has a lot less gravity than the earth dose so the golf ball will hit the ground on earth first before the golf ball on moon dose
Please help I don’t know how to do this
Answer:
3.176 hoursExplanation:
given:
distance = 270 km
speed = 85 km/h
find:
how long does it take to get into his audition in hours?
solution:
velocity = distance / time
85 km/h = 270 km
t
85 (t) = 270
t = 270 / 85
t = 3.176 hours
Why is the sunlight not deflected when passes through either an electric field or a magnetic field?
is it better to walk or run in the rain?
Answer:
Not gonna lie. I actually had to think about this a lot XD
Running in the rain can cause you to slip and get hurt. Which I think isn't what you would want.
Walking in the rain (although it is sad), is actually a better idea than running.
Hope this helps!
Answer:
Walk
Explanation:
Running might stop you from being outside for as long, but running on wet ground will most likely result in a not-so-graceful faceplant.
Doctors were furious. Their patients didn't care about regular medicine anymore. All they wanted was a wave of Dr. Mesmer's wand. The doctors griped — and groused — and fussed — and fumed. What is most likely the meaning of the word furious?
A quietly curious B quite thrilled C mildly annoyed D extremely angry
Answer:
am pretty sure the answer is d
A 57 kg paratrooper falls through the air. How much force is pulling him down?
Answer:
Explanation:
Force = Mass * acceleration due to gravity.
Given
Mass of the paratrooper = 57kg
Acceleration due to gravity = 9.81m/s²
Required
Force pulling him down
Substitute unto formula;
F = 57 * 9.81
Force = 559.17 N
Hence the force pulling him down is 559.17N
The force pulling the paratrooper as he falls down is 558.6 N.
The given parameters;
mass of the paratrooper, m = 57 kgacceleration due to gravity, g = 9.8 m/s²The force pulling the paratrooper is force of gravity and the magnitude can be determined by applying Newton's second law of motion as shown below;
F = mg
F = 57 x 9.8
F = 558.6 N
Thus, the force pulling the paratrooper as he falls down is 558.6 N.
Learn more here:https://brainly.com/question/19887955
What happens when light hits a transparent material like water or glass? What is
the phenomenon called?
HELP
If you walk North for 40 feet and then walk East for 30 feet, what is your total distance
travelled? What is your displacement?
Answer:
The person travelled a total distance of (40+30) feet = 70 feet
Displacement= 50feet (im not positive on the displancement)
displacemeny is the shortest distance between two pionts
Explanation:
True or false- Normally, all objects are electrically positively charged
Types of muscle tissue includes
Skeletal muscle
Cardiac muscle
Smooth muscle
All of the above
Answer:
D. all of the above
Explanation:
hope it helps
Who? What? Where? When? Why?
A Coolie raises a box of mass 20 kg to a height of 1.5m. If the force of gravity on 1 kg is 10N. The work done by the Coolie is