Answer:
0.000314 Am²
6.049*10^-7 T
Explanation:
A
From the definitions of magnetic dipole moment, we can establish that
= , where
= the magnetic dipole moment in itself
= Current, 100 A
= Area, πr² (r = diameter divided by 2). Converting to m², we have 0.000001 m²
On solving, we have
= ,
= 100 * 3.14 * 0.000001
= 0.000314 Am²
B
= (0)/4 * 2 / ³, where
(0) = constant of permeability = 1.256*10^-6
z = 4.7 cm = 0.047 m
B = 1.256*10^-6 / 4*3.142 * [2 * 0.000314/0.047³]
B = 1*10^-7 * 0.000628/1.038*10^-4
B = 1*10^-7 * 6.049
B = 6.049*10^-7 T
A water-skier of mass 75.0 kg initially at rest is being pulled due east by a horizontal towrope. The rope exerts a force of 365 N (east). The water (and air) exerts a combined average frictional force of 190 N (in the opposite direction). How fast will the skier be moving after a distance of 38.0 m?
Answer:
The skier will be moving at 13.31 m/s.
Explanation:
To calculate the velocity of the skier we need to find the acceleration, as follows:
[tex] \Sigma F = ma [/tex]
[tex] F_{r} - F_{f} = ma [/tex]
Where:
[tex] F_{r}[/tex]: is the force due to the rope = 365 N
[tex] F_{f}[/tex]: is the combined average frictional force = 190 N
m: is the mass = 75.0 kg
[tex] a = \frac{365 N - 190 N}{75.0 kg} = 2.33 m/s^{2} [/tex]
Now, we can calculate the velocity of the skier by using the following kinematic equation:
[tex] v_{f}^{2} = v_{0}^{2} + 2ad [/tex]
Where:
[tex] v_{f}[/tex]: is the final velocity =?
[tex] v_{0}[/tex]: is the initial velocity = 0 (the skier is initially at rest)
d: is the distance = 38.0 m
[tex] v_{f} = \sqrt{2*2.33 m/s^{2}*38.0 m} = 13.31 m/s [/tex]
Therefore, the skier will be moving at 13.31 m/s.
I hope it helps you!
Jonas has a 10.0 kg box, which he places on a scale inside an elevator. When the
elevator begins to move, the scale shows that the box weighs 83.4 N. What is the
magnitude and direction of the elevator's acceleration?
Answer:
a = - 1.47 [m/s²], descending or going down
Explanation:
To solve this problem we must use Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
∑F = Forces applied [N]
m = mass = 10 [kg]
a = acceleration [m/s²]
Let's assume the direction of the upward forces as positive, just as if the movement of the box is upward the acceleration will be positive.
By performing a summation of forces on the vertical axis we obtain all the required forces and other magnitudes to be determined.
[tex]-m*g + N = m*a\\[/tex]
where:
g = gravity acceleration = 9.81 [m/s²]
N = normal force measured by the scale = 83.4 [N]
Now replacing:
[tex]-(10*9.81)+83.4=10*a\\-14.7=10*a\\a=-1.47[m/s^{2} ][/tex]
The acceleration has a negative sign, this means that the elevator is descending at that very moment.
a 1220 kg automobile travels at 75 m/s. what net work would be required to bring it to a stop
Answer:
W = - 3431250 [N]
Explanation:
In order to solve this problem, we must use the theorem of work and energy conservation. This theorem tells us that the initial mechanical energy of a body plus the work done on this body must be equal to the final mechanical energy of the body. We must remember that the mechanical energy of a body is equal to the sum of kinetic energies plus potential energy plus elastic energy.
In this problem, we only have kinetic energy.
[tex]E_{1}+W_{1-2}=E_{2}\\where:\\E_{1}=E_{pot}+E_{kine}+E_{elas}\\E_{pot} = 0\\E_{elas}=0\\E_{kine}=\frac{1}{2} *m*v^{2}[/tex]
And we have:
m = mass = 1220 [kg]
v = velocity = 75 [m/s]
As the carriage stops the final kinetic energy is zero.
Now replacing:
[tex]\frac{1}{2} *1220*(75)^{2} +W_{1-2}=0\\W_{1-2}= - 3431250[N][/tex]
Note: The negative force means that the force has to be carried out by the carriage. That is, no external force acts on the car to stop it.
You travel 25 meters east and then travel 48 meters south. What is your total displacement? Draw a picture what is happening.
Answer: 54.12 m
Explanation:
In your opinion, to whom must you learn the explanation of the biological changes and sexual urges first, especially the sexual responses? Why?
Thank you for your answer.KeepSafe♥️
A person with a bacterial infection is taking amoxicillin, which is an antibiotic. The bacteria that are causing the infection have mutated and fight off the amoxicillin.
Which best summarizes this mutation?
Answer:
I’m pretty sure it’s B. It is harmful to the person and beneficial to the bacteria.
Explanation:
I’m taking the test right now. But if you think about it the bacteria is fighting off the medicine to which means the bacteria will just keep growing. So I’m 97% sure it’s B. Good luck you can do it don’t stop believing in yourself!!!!!! Hope I helped. And remember at the end of the day all that matters is love and happiness not grades!!!!!!!
Answer:
Answer is B!
Explanation:
I took the cumulative exam and got 100%
On a displacement-time graph, what does a linear slope indicate?
A Velocity is changing.
B Velocity is fixed.
C The car is stationary.
D The car is moving forward.
Answer:
B
Explanation:
The slope (change in position over the change in time) represents the speed, or velocity. If the slope is linear, then that means that the velocity is not changing. It is like a constant rate. If you had a curvy line, then the change in position over change in time would also be changing, i.e. the velocity is changing.
Alex kicks a soccer ball with a force of 250 N. The force is applied to the soccer ball for 0.05 seconds. What is the impulse applied to the ball?
Answer:
12.5 Ns.
Explanation:
From the question given above, the following data were obtained:
Force (F) = 250 N.
Time (t) = 0.05 s
Impulse =?
Impulse can be obtained by using the following formula:
Impulse = force × time
Impulse = 250 × 0.05
Impulse = 12.5 Ns
Thus, the Impulse applied to the ball is 12.5 Ns.
A wire is carrying current vertically downward. What is the direction of the force due to Earth's magnetic field on the wire?
A wire is carrying current vertically downward.
What is the direction of the force due to Earth's magnetic field on the wire?
a) horizontally towards the east
b) horizontally towards the west
c) horizontally towards the south
d) horizontally towards the north vertically upward
Answer: The correct option is A ( horizontally towards the east)
Explanation:
Magnetic field is a region around a magnet or a current- carrying conductor, where a magnetic force is experienced. The magnetic effect of electric current was first discovered in the early 1820 by Oersted. Using a wire that had current flowing through it and a pivoted magnetic needle, he discovered that the direction of deflection depended on the direction of the current and whether the wire was above or below the needle.
From the way the needle turns when current when current carrying wire is held parallel to it, he therefore concluded that:
--> a current has magnetic field all round it,
--> the magnetic field is in a direction perpendicular to the current.
The above discovery was now modified in Fleming's left hand rule which states that when conductor carrying current is placed in a magnetic field, the conductor will experience a force perpendicular to both the field and the flow of current.
Therefore from the question, a vertical wire carrying current in DOWNWARD direction is placed in a HORIZONTAL magnetic field directed to the NORTH. The direction of the force on the wire is to the EAST.
Two friends grab different sides of a textbook and pull with forces of 6.7 N to the east and 4.4 N to the west, respectively. What would be the magnitude and direction of the force a third friend would need to exert on the textbook in order to balance the other two forces?
Explanation:
This equation for acceleration can be used to calculate the acceleration of an object that is acted on by a net force. For example, Xander and his scooter have a total mass of 50 kilograms. Assume that the net force acting on Xander and the scooter is 25 Newtons. What is his acceleration? Substitute the relevant values into the equation for acceleration:
Answer:
a=Fm=25 N50 kg=0.5 Nkg
The Newton is the SI unit for force. It is defined as the force needed to cause a 1-kilogram mass to accelerate at 1 m/s2. Therefore, force can also be expressed in the unit kg • m/s2. This way of expressing force can be substituted for Newtons in Xander’s acceleration so the answer is expressed in the SI unit for acceleration, which is m/s2:
a=0.5 Nkg=0.5 kg⋅m/s2kg=0.5 m/s2
An astronaut measures her mass by means of a device consisting of a chair attached to a large spring.Her mass can be determined from the period of the oscillations she undergoes when set into motion.If her mass together with the chair is 170 kg, and the spring constant is 1250 N/m, what time is required for her to undergo 10 full oscillations?
Answer:
23 seconds
Explanation:
Step one:
given data
mass m= 170kg
The spring constant is 1250 N/m
Required
The period required for 10 oscillations
Step two:
The expression relating period, mass, and spring constant is
[tex]T=2 \pi \sqrt{\frac{m}{k} } \\[/tex]
substituting our data we have
[tex]T=2 *3.142 \sqrt{\frac{170}{1250} } \\\\T=6.284* \sqrt{0.136}\\\\T=6.284*0.3687\\T=2.3s[/tex]
A Period is defined as the time required to complete one full oscillation
hence, having found the period to be 2.3 seconds, the time required for 10 oscillations will be 2.3*10= 23seconds
parar 7. Keira starts at position x = 23 m along a coordinate axis. She then undergoes a displacement of -45 m. What is her final position? nood A coordinate
Answer: x=-22
Explanation:
f=final position
-45=f-23
-45+23=f
f=-22
x=-22
how to microscope help discovering viruses?
Answer: because it makes it bigger so scientists would discover more about viruses
Explanation:
what is the amount of matter in an object is called?
Answer:
mass
Explanation:
Answer: Mass is the amount of mass an object contains. Mass is measured using a scale. Volume is the amount of space matter takes up.
hope this help!! :) :)
Which is the luminous object?
In a hydraulic garage lift, the smallpiston has a radius of 5.0 cm and the large piston has a radius of15 cm. What force must be applied on the small piston in order tolift a car weighing 20,000 N on the large piston?
a. 6.7 ×103 N
b. 5.0 ×103 N
c. 2.9 ×103 N
d. 2.2 ×103 N
Answer: Option d) 2.2 × 10³ N is the correct answer
Explanation:
Given that;
radius of A₁ = 5.0
large piston has a radius of A₀ = 15 cm
Weight F₀ = 20,000 N
Force that must be applied to lift the weight F₁ = ?
Now we know that from Pascal Law
ΔP ⇒ F₁/A₁ = F₀/A₀
F₁ = (F₀/A₀)A₁
where A = πr²
so we substitute
F₁ = (20,000 / π(15²)) × π(5²)
= (20,000 / 706.8583) × 78.5398
= 2222.22 ≈ 2.2 × 10³ N
Therefore Option d) 2.2 × 10³ N is the correct answer.
A copper block of mass 0.75 g is removed from a furnace and quickly transferred into a glass beaker of mass 300.0 g containing 200.0 g of water. The temperature of the water rises from 12.0 °C to 27.0 °C. What was the temperature of the furnace?
The temperature of the furnace is 585-degree Celcius.
An expression for hotness or coolness on any scale, including Fahrenheit and Celsius, is called a temperature. Heat energy will logically go from a hotter (body with a higher temperature) to a colder (body with a lower temperature) according to temperature (one at a lower temperature).
Food, beverages, agriculture, and medical care—for both people and animals—all depend heavily on temperature. Temperature also frequently affects our general health in a number of ways. In facilities used for medical cold storage, maintaining optimum temperatures is crucial. The Celsius and Kelvin scales are used in chemistry to express temperature. The Celsius temperature multiplied by 273.15 is the temperature on the Kelvin scale. Absolute zero, denoted by the number 0 K, is the lowest temperature that is conceivable.
instead of 0.75 g, I assume 75 g.
c, water = 4.18 j/g°C
c, glass = 0.84 j/g°C
c, copper = 0.39 j/g°C
Q,given = Q,taken
mcΔt(copper) = mcΔt(glass) + mcΔt(water)
75*0.39*(t–27) = 300*0.84*(27–12) + 200*4.18*(27–12)
t = 585°C
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Shelley is in an elevator that is traveling downward and slowing down at a rate of
0.950 m/s2. If Shelley has a mass of 73.2 kg, what is her apparent weight during this
period?
Answer:
N = 648.55[N]
Explanation:
To solve this problem we must use Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
∑F = Forces applied [N]
m = mass = 73.2 [kg]
a = acceleration = 0.950 [m/s²]
Let's assume the direction of the upward forces as positive, just as if the movement of the box is upward the acceleration will be positive.
By performing a summation of forces on the vertical axis we obtain all the required forces and other magnitudes to be determined.
[tex]-m*g + N = -m*a\\[/tex]
where:
g = gravity acceleration = 9.81 [m/s²]
N = normal force (or weight) measured by the scale = 83.4 [N]
Now replacing:
[tex]-(73.2*9.81)+N=-73.2*0.950\\-718.092+N=-69.54\\N = -69.54+718.092\\N = 648.55[N][/tex]
The acceleration has a negative sign, this means that the elevator is descending at that very moment.
if you putsome sugar in tea,the tea will became sweet even if you do not stir it explain using idae of moving particals
If it is not stirred, then the tea right at the surface of the solute becomes saturated with dissolved sugar molecules, meaning that it is more difficult for the additional solute to dissolve. The sugar cube would eventually dissolve because random motions of the tea molecules would bring enough fresh solvent into contact with the sugar, but the process would take much longer.
A solute is a material that dissolves in a solution. The amount of solvent present in fluid solutions is greater than the amount of solute. The two most common examples of solutions in daily life are salt and water. Salt is the solute because it dissolves in water. Major categories of solute include:
Gaseous
Liquid
Solid
a homogenous mixture made up of two or more different substances, where a solute is a substance that dissolves in a solvent. In relation to the amount of solvent (like salt) present, the concentration of a solute in a solution is a measurement of how much of that solute is dissolved in the solvent.
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What kinds of forces can act on an object
why do we use days and hours instead of seconds
A more precisely defined value for the measurement of a second is now necessary due to decades of technological and scientific advancements. Right now, the second serves as the foundational unit of time in the International System of Units (SI).
What is the time?Time is the continuous progression of existence and events that take place in what seems to be an irrevocable order from the past through the present and into the future. This is one of the quantities that make up numerous measurements which are used to compare the lengths of events or even the gaps between them, order events in time, and measure the rates at which those quantities in the physical world or in conscious experience change. In relation to the four spatial dimensions, time is frequently considered a fourth dimension.
Although time is long gone to been a crucial topic for research in philosophy, theology, and science, any definition of time that is universally applicable and free of roundness has ever been reached by academics.
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Days and hours are often used as units of time instead of seconds because they are more practical and convenient for measuring longer durations.
There are a few reasons why we use days and hours instead of seconds in everyday life.
Days and hours are more intuitive for humans to understand. It is easier to conceptualize a day or an hour than it is to conceptualize a second. For example, we can say that it takes 24 hours to make a day, or that it takes 60 minutes to make an hour. These units of time are also more relatable to our daily lives.
Days and hours are more practical for many applications. For example, it is more practical to measure the length of a day or an hour than it is to measure the length of a second. This is because days and hours are longer units of time, and they are more divisible.
Days and hours are more compatible with our calendars and timekeeping systems. Our calendars are based on days and hours, and our timekeeping systems are also based on days and hours. This makes it easier to keep track of time and schedule events.
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Neither past failures nor past successes predict future outcomes, yet we often act on
the basis of
O distorted feedback
O obsolete information
O social expectations
O perfectionism
In most cases, the actions of people could be based on distorted feedback.
How do we see ourselves?We know that self perception and self concept is very important. In psychology, it is often very vital to deal with how a person sees himself as this could be the catalyst of the actions of the person. Let us also recall that people do not often act in isolation of the past. This is why some people are said to be the prisoners of the past. They can not just let go of their past failings and mistakes This could have a very bad impact on then future endeavors of such a person.
Let us put this in the context of our discussion. It is common perception that the past of a person could determine the current or future performances of a person. This is common in recruitment exercises.
This implies that when people tend to act, they tend to act based on distorted feedback.
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In the space below, draw a falling stone with the following forces acting on it:
It’s weight, 8.0N
Air resistance, 2.4N
Please write the answer on a piece of paper.Giving brainliest
The free body diagram of the falling stone's motion involves the weight of the stone acting downwards and the air resistance acting upwards.
What is free body diagram?A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.
the given forces on the falling stone include;
weight of the falling stone, W = 8.0 N, this force is acting downwards
Air resistance, R, = 2.4N, this is a frictional force resisting the stone motion. This force is acting upwards.
Free body diagram of the stone's motion↑ R = 2.4 N
Ф
↓ W = 8.0 N
Thus, the free body diagram of the falling stone's motion involves the weight of the stone acting downwards and the air resistance acting upwards.
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A car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver
Answer:
178.5 Hz
Explanation:
Given that a car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver ?
Solution
Using doppler effect formula
F = f ( V/ V- v)
Where F = frequency of sound heard by the car
f = train frequency
V = speed of sound
v = car speed
F = 166 ( 343 ÷ ( 343 - 24 ) )
F = 166 ( 343 / 319 )
F = 166 × 1.0752
F = 178.489 Hz
F = 178.5 Hz
Therefore, the frequency of sound heard by the observer in the car is 178.5 Hz approximately.
g A raindrop charged to 10 mC experiences electric field of 10,000 V/m from a tip of a tree branch. What is the electric force acting on the raindrop
Answer:
The electric force acting on the raindrop is 100 N.
Explanation:
Given;
charge of the raindrop, Q = 10 mC = 0.01 C
electric field strength, E = 10,000 V/m = 10,000 N/C
The force acting on the raindrop is given as;
Electric Force = electric field strength x charge of the raindrop
F = EQ
F = (10,000 N/C) (0.01 C)
F = 100 N
Therefore, the electric force acting on the raindrop is 100 N.
Exercising helps reduce?
Answer:
stress,depression and anxiety by improving self esteem.
question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!!
Answer:
??????? umm what r u saying??? kinda confusing..............what does question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!! mean????????
very very very confusing
Explanation:
plz mark brainlyist :()
A woman walks 5 meters due east in 12 seconds and then back 2 meters in 7 seconds due west. Determine the person’s velocities for the 5 meters, the 2 meters and the person’s average velocity for the whole walk.
Answer:
Due east - 0.42mps
Due west - 0.29mps
Explanation:
So for the 5 meters 12s
and 2 meters 7s
for the first one we will do 12/5 = 2.4
for the second one 7/2 = 3.5
that is the amount of seconds per meter but we want meters per seconds so
5/12 = 0.42mps
2/7 = 0.29mps
; we call this
1. When distance increases____, electrostatic force
relationship____
proportional *
1 poi
decreases; directly
increases; inversely
decreases; inversely
increases; directly
Answer:
decreases;inversely
Two 2.9 kg physical science textbooks on a bookshelf are 0.14 m apart. What is the magnitude of the gravitational attraction between the books?
Taking into account the Universal Law of Gravitation, the magnitude of the gravitational attraction between the books is 2.86×10⁻⁸ N.
Universal Law of GravitationThe Universal Law of Gravitation establishes that bodies experience a force of attraction towards other bodies with mass, called gravitational force.
The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.
Mathematically it is expressed as follows:
[tex]F=G\frac{Mm}{d^{2} }[/tex]
where:
G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.Magnitude of the gravitational attraction between the booksIn this case, you know:
G= 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex]M= m= 2.9 kgd= 0.14 mReplacing in the Universal Law of Gravitation:
[tex]F=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{2.9 kgx2.9 kg}{(0.14 m)^{2} }[/tex]
Solving:
[tex]F=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{8.41 kg^{2} }{0.0196 m^{2} }[/tex]
F= 2.86×10⁻⁸ N
Finally, the magnitude of the gravitational attraction between the books is 2.86×10⁻⁸ N.
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