The magnitude of the net magnetic field midway between the two sheets is zero for the given electric currentb
The formula for calculating the magnetic field at a point due to a current element is given by the Biot-Savart law.Using Biot-Savart's law, the magnitude of the magnetic field at a point midway between two infinite current sheets is given by;\($$B=\frac{\mu_0}{4\pi}\left( \frac{I_1}{y} + \frac{I_2}{y}\right)$$\)
where; μ0 is the magnetic constant or permeability of free space, I1 is the current carried by the first sheet, I2 is the current carried by the second sheet, and y is the distance between the two sheets, which is 3.6 cm.The number of conductors per unit length is given as 200.
The total current carried by each sheet is given by multiplying the current in each conductor by the number of conductors per unit length, then multiplying that product by the width of the sheet.$$I = 200 \times I_c \times w$$where;Ic = current per conductor = 1.2 Aand w = width of the sheet.The width of each conductor, a = side of the square cross-section = 1 cm.The width of each sheet, b = 200a = 200 cm
The total current carried by the first sheet, I1 = 200 × 1.2 × 200 = 48,000 A
The total current carried by the second sheet, I2 = 200 × 1.2 × 200 = 48,000 A
Therefore, the net magnetic field midway between the two sheets is given by;\($$B=\frac{\mu_0}{4\pi}\left( \frac{I_1}{y} + \frac{I_2}{y}\right)$$$$B=\frac{10^{-7}}{4\pi}\left( \frac{48000}{0.036} - \frac{48000}{0.036}\right)$$$$B=\frac{10^{-7}}{4\pi} \times 0$$$$B=0$$\)
The magnitude of the net magnetic field midway between the two sheets is zero.
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how do you determine final velocity in projectile motion
Determine the kinetic energy of a 1000-kg roller coaster car that is moving with a speed of 20.0 m/s.
196000 N
200000 N
200000 J
196000 J
Answer:
The correct answer is - 200000 J
Explanation:
We use the formula of kinetic energy:
The formula to calculate kinetic energy is,
Here,
Ec =1/2 x m x v^2
The mass of the roller coaster is, m = 1000 k g
The speed of the roller coaster is, v = 20.0 m/s
Therefore,
Ec=1/2 x 1000kg x (20m/s)^2 = 200.000Joule
200,000J
Which type of electromagnetic radiation is responsible for the colors of
objects?
O A. Radio waves
O B. X-rays
O C. Visible light
O D. Ultraviolet radiation
Answer:
C. Visible light
Explanation:
Visible light is responsible for the colors of objects.
Hope it will help :)❤
four solid plastic cylinders all have radius 2.33 cm and length 5.82 cm. find the charge of each cylinder given the following additional information about each one.
the charge of each cylinder given the following additional information about each one is 10434.445 coulomb, 14906.35 Coulomb, 178876.2 coulomb, 223,595.25 coulomb.
Equation :To solve this question we are to use the equation 1 below :
Charge Q = uniform charge density p × Total area of the cylinder A
From the question, we are given radius, R to be 2.33 cm and length, L to be 5.82 cm.
Calculate for the total area of the cylinder, A. equation 2
Total area of the cylinder, A = area of the top surface + area of the bottom + area of the curved surface of the cylinder.
Hence, total area of the cylinder A is;
πR^2 + πR^2 + 2πRL.
Then, total area of the cylinder A is;
(L + R)2πR.
find the charge of each cylinder equation 3
For the first cylinder; we have the uniform charge density to be 35 nC/m^2.
Therefore, the combination of equation (1) and (3) gives equation 4
Charge Q= p × (L + R)2πR
Hence,
Charge Q = 35 × [(5.82 + 2.33) 2× 3.143 × 5.82]
Charge Q = 10434.445 coulomb.
For the cylinder B, we have a uniform charge density of 50 nC/m^2.
Using equation (4),
charge Q = p × (L + R)2πR
= 50 × [(5.82 + 2.33) 2× 3.143 × 5.82]
= 14906.35 Coulomb
For The cylinder C, the uniform charge density is 600, we use of equation (4);
Charge Q = 600 × 298.127
Charge Q = 178876.2 coulomb.
For cylinder D, the uniform charge density is 750 nC/m^2. use of equation (4)
Charge Q = 298.127 x 750
charge Q = 223,595.25 coulomb.
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What is artificial insemination as used in animal production
Answer:
i hope this helps!
Explanation:
Artificial Insemination (AI) is an Assisted Reproductive Technology (ART) used worldwide to deposit stored semen directly into a cow or heifer's uterus. It is a tool for improving reproductive performance and genetic quality of livestock.
source: https://nwdistrict.ifas.ufl.edu/phag/2020/05/29/tips-for-successful-artificial-insemination-of-cattle/
An airplane increases its speed at the average rate of 15 m/s². How much time does it take to increase its speed from 100 m/s to 180 m/s? A) 17 s B) 0.058 s C) 5.3 s D) 0.25 s
Answer:
C - 5.3s
Explanation:
a = v - u / t
so,
t = v - u / a
t = 180 - 100 / 15
t = 5.3s
A baseball sits motionless near first base on a baseball diamond. What statement best explains why the baseball remains motionless?
Answer:
Because no one is using that ball, so it is motionless
Answer:
No one is using the ball (dead ball) and therefore it is motionless and out of play
Explanation:
When constructing a climograph one needs to know the annual_________ temperature and wind speed.
A Final statement or concluding statement
When constructing a climograph one needs to know the annual average temperature and wind speed.
What is the purpose of Climographs?A climograph is a graph that depicts an area's average (mean) precipitation and temperature.
It is used to compare the climate of various locations.
Climographs are made to compare climates in various locations.
Climographs simplify a large amount of numerical data into a simple depiction of bars and lines.
Climographs are useful for observing trends in climate and comparing climates in different locations since they are so basic.
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A child with a mass of 25 kg is riding a bike with a mass of 6.3 kg with a velocity of 6.5 m/s. What is the momentum of the bike?
A. 41 kg m/s
B. 163 kg m/s
C. 198 kg m/s
D. 203 kg m/s
The momentum of the bike is 41kgm/s (option A).
How to calculate momentum?Momentum is the tendency of a body to maintain its inertial motion i.e. the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
The momentum of an object can be calculated by multiplying the mass of the object by its velocity.
According to this question, a child with a mass of 25 kg is riding a bike with a mass of 6.3 kg with a velocity of 6.5 m/s.
Momentum of the bike = 6.3kg × 6.5m/s = 40.95kgm/s
Therefore, 41kgm/s is the momentum of the bike.
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a footballer took a penalty kick and ball moved with a velocity of 4mls, calculate the work done by the footballer if the mass of the ball was 40g
Answer:
Work done = 80 gm/s
Explanation:
Given:
Final velocity (v) = 4 m/s
Initial velocity (u) = 0 m/s
Mass of ball (m) = 40 g
Find:
Work done.
Computation:
Using work energy rule
Work done = Change in kinetic energy
Work done = 1/2[mv-mu]
Work done = 1/2[(40)(4) - (40)(0)]
Work done = 1/2[(40)(4)]
Work done = 80 gm/s
Using the following equation, find in seconds 145m = 9 m/s x t-35m
Answer:
t = 20 s
Explanation:
145 m = 9 m/s × t – 35m
We can obtain the value of t in seconds by doing the following:
145 m = 9 m/s × t – 35m
Add 35 m to both side as shown below:
145 m + 35 m = 9 m/s × t – 35m + 35 m
180 m = 9 m/s × t
Divide both side by 9 m/s
t = 180 m / 9 m/s
t = 20 s
Therefore, the value of t is 20 seconds.
2. if one visible red wave is 700 nm in length, and one visible violet wave is 400 nm in length How many possible colors can there be?
Between the value 400 nm and 700 nm there is an infinite amount of real values that can represent the length of a wavelength.
If we consider that each differente wavelength represents a different color, therefore there are infinite possible colors in the interval from 400 nm to 700 nm.
But if we consider only certain intervals of wavelength as certain colors, we can have for example 7 colors:
Violet, Indigo, Blue, Green, Yellow, Orange, Red.
A wooden block of 0.60 kg is placed on a rough surface where it is accelerated at the rate of 4 m/s2. If the force applied on the block is 12N,what frictionless force is affecting the motion of block?
Answer:
Take a look below
Explanation:
the time constant of a rc circuit is the time in which the current decreases to ______ of its initial value.
The time constant of a RC circuit is the time in which the current decreases to 37% of its initial value.
An RC circuit is a type of electrical circuit consisting of a resistor (R) and a capacitor (C) connected together. These circuits are used in a wide range of applications, including filters, oscillators, and timing circuits. In an RC circuit, the capacitor is charged and discharged through the resistor, creating a time-varying voltage across the capacitor. The time it takes for the capacitor to charge or discharge depends on the values of the resistor and capacitor, as well as the voltage of the power source.
The behavior of an RC circuit can be described by the time constant, which is equal to the product of the resistance and capacitance. This time constant determines how quickly the voltage across the capacitor will change in response to a change in the input voltage.
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What could Alex do to make the reaction happen faster than normal?
Answer:
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Explanation:
Water if flowing through a hose with a velocity of v. You block of some fraction of the hose with your thumb. The water flows with velocity 4v out the end of the hose. What fraction of the hose opening did you block
To determine the fraction of the hose opening that was blocked, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant before and after blocking a fraction of the hose opening.
The mass flow rate of water is given by the equation:
Mass flow rate = density * cross-sectional area * velocity
Assuming the density of water remains constant, we can write:
Mass flow rate before blocking = Mass flow rate after blocking
The cross-sectional area of the hose opening is proportional to the square of its diameter. Let's assume that the fraction of the hose opening blocked is represented by 'x'.
Since the velocity of water before blocking is 'v' and after blocking is '4v', and the cross-sectional area is reduced by a fraction of 'x^2', we can write:
density * (1 - x^2) * v = density * 4^2 * v
Simplifying the equation, we get:
1 - x^2 = 16
x^2 = 1 - 16
x^2 = -15
Since we cannot have a negative value for 'x^2', it implies that the given scenario is not physically possible. The fraction of the hose opening blocked cannot be determined using the provided information
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According to the graph of displacement vs. time, what is the object's velocity at a displacement of 0.2 meters?
According to the graph of displacement vs. time, the object's velocity is 0.02 m/s
What is displacement?The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.
Velocity is the time rate of change of displacement with time.
Given is the displacement 0.2 m and time taken is 10s. So, the velocity is
v = 0.2/10
v = 0.02 m/s
Thus, the object's velocity is 0.02 m/s
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Jill runs for 20 seconds at 10 m/s, how far did she travel?
Answer:
200 (m) for 20 seconds
10 times 20 is 200
Answer:
200
Explanation:
Jill is running at 10 meters per second
20 * 10 = 200
How much power does a toaster have if it does 1,000 joules of work in 30 seconds?
Answer:
33.33Watts
Explanation:
Given parameters:
Work done = 1000J
Time taken = 30s
Unknown:
Power = ?
Solution:
To solve this problem, we must understand that power is the rate at which work is done.
So;
Power = \(\frac{Work done }{time}\)
Now insert the parameters:
Power = \(\frac{1000}{30}\) = 33.33Watts
Gabriel is sledding down a snowy hill. At which of the following positions will Gabriel's potential energy be the least and his kinetic energy be the greatest?
A. 3
B. 2
C. 1
D. 4
Which is expected to have the lowest specific heat capacity at 25 degrees Celsius?
a. air
b. iron
c. methanol
d. carbon dioxide
The substance with the lowest specific heat capacity at 25 degrees Celsius is expected to be: b. iron.
The specific heat capacity of a substance is the amount of heat required to raise the temperature of one unit of mass of that substance by one degree Celsius. The specific heat capacity varies from substance to substance and is affected by factors such as temperature, pressure, and molecular structure.
At 25 degrees Celsius, the substance that is expected to have the lowest specific heat capacity is likely to be iron. Iron has a relatively high density and a crystalline structure, which makes it difficult for the atoms to vibrate and store heat energy. As a result, iron has a lower specific heat capacity compared to the other substances listed.
Air, methanol, and carbon dioxide are all gases at room temperature and have relatively low densities. They have higher specific heat capacities compared to iron because their molecules are more mobile and can store more heat energy through their vibrational and rotational modes.
Therefore, the correct answer is b. iron.
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A box with a total surface area of 1.2 m2 and a wall thickness of 4 cm is made of an insulating material. A 10 W electric heater inside the box maintains the inside temperature at 15 oC above the outside temperature. What is the thermal conductivity of the insulating material in units of kcal/(s oC m)
For a box with a total surface area of 1.2 m2, the thermal conductivity of the insulating material is mathematically given as
k=5.29*19^{-6} kcal/(s oC m)
What is the thermal conductivity of the insulating material?Generally, the equation for the is mathematically given as
P=Ka dT/L
Therefore
k=10*4*10^{-2}/1.2*1.5
k=5.29*19^{-6} kcal/(s oC m)
In conclusion, the thermal conductivity
k=5.29*19^{-6} kcal/(s oC m)
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Cumulative Problem 1
A typical human cell is approximately 11 um in diameter and enclosed by a membrane that is 4,4 nm thick. To
simplify the calculations, model the cell as a sphere.
1) What is the volume of the cell? (Express your answer to two significant figures.)
Answer:
Volume, \(V=696.55\ \mu m^3\)
Explanation:
Given that,
The diameter of a human cell is 11 μm
It is enclosed by a membrane that is 4,4 nm thick.
We need to find the volume of the cell. The cell is spherical in shape. The volume of a sphere is given by the formula as follows :
\(V=\dfrac{4}{3}\pi r^3\)
r is the radius of the sphere, r = 5.5 μm
So,
\(V=\dfrac{4}{3}\times 3.14\times (5.5)^3\\\\V=696.55\ \mu m^3\)
So, the volume of the cell is \(696.55\ \mu m^3\).
A water holding tank measures 85 m long, 55 m wide, and 9 m deep. Traces of mercury have been found in the tank, with a concen- tration of 65 mg/L.
What is the total mass of mercury in the tank?
Answer in units of kg.
Answer:
Mass = 2734.875 kg
Explanation:
Given that A water holding tank measures 85 m long, 55 m wide, and 9 m deep.
The volume = 85 × 55 × 9 =
= 42075 m^3
Traces of mercury have been found in the tank, with a concen- tration of 65 mg/L.
1 m^3 = 1000 L
Convert cubic meters to litres.
42075 × 1000 = 42075000 L
From definition of density,
Density = mass ÷ volume.
Substitute the given density and the calculated density into the formula
65 = mass ÷ 42075000
Cross multiply
Mass = 65 × 42075000
Mass = 2734875000 mg
Convert mg to kg
To do that, you will divide the answer by 1000000
2734875000 ÷ 1000000
= 2734.875 kg
in a conductor, what is the material through which it is difficult to conduct an electric current called?
In general, metals are excellent conductors, allowing current to flow freely. Insulators are substances that make current flow difficult.
How do insulators work?a substance with a conductivity so low that very little current can flow through it. insulation in the form of a unit, frequently made of glass or porcelain, intended to support and electrically isolate a charged wire.
How does current flow work?While current and electron flow within the same direction, they do so in opposite directions. Electrons move from a negative potential to a positive potential, and vice versa. The number of electrons that flow through a conductor's cross section in a second is used to calculate current.
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A model rocket is launched straight upward with an initial speed of 25.6 m/s. It accelerates with a constant upward acceleration of 2.34 m/s2 until its engines stop at an altitude of 231 m. How long after lift-off does the rocket reach its maximum height?
First, let's calculate the rocket velocity when it stops accelerating, using Torricelli's equation:
\(\begin{gathered} V^2=V^2_0+2\cdot a\cdot d \\ V^2=25.6^2+2\cdot2.34\cdot231 \\ V^2=655.36+1081.08 \\ V^2=1736.44 \\ V=41.67\text{ m/s}^2 \end{gathered}\)After the engine stops, the total acceleration will be the gravity acceleration, with a downwards direction and magnitude of 9.81 m/s².
The maximum height occurs when the velocity is zero, so we can use the formula below:
\(\begin{gathered} V=V_0+a\cdot t \\ 0=41.67-9.81\cdot t \\ 9.81t=41.67 \\ t=\frac{41.67}{9.81} \\ t=4.25\text{ s} \end{gathered}\)Now we need to calculate the time spent accelerating (engine turned on):
\(\begin{gathered} V=V_0+a\cdot t \\ 41.67=25.6+2.34\cdot t \\ 2.34t=41.67-25.6 \\ 2.34t=16.07 \\ t=\frac{16.07}{2.34} \\ t=6.87\text{ s} \end{gathered}\)Therefore the total time, since lift-off until maximum height, is:
\(\begin{gathered} t=6.87+4.25 \\ t=11.12\text{ s} \end{gathered}\)The rocket reaches the maximum height 11.12 seconds after lift-off.
An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2
If her speed is 280 m/s at this time, find the
radius of the loop.
Answer in units of km.
For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.
What is centripetal acceleration?The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.
As Centripetal Acceleration formula is;
a = v²/r
Given, V- velocity = 280 m/s
And we know that for weightless object,
Gravity = centripetal acceleration
So, a = g
given, g =9.8 m/s²
So,9.8 = 280²/r
r= 8000 m
Radius of the loop = 8 km
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What is conserved in a thermodynamically closed system?
A. Both energy nor matter
B. Energy
C. Both energy and matter
D. Matter
Explanation:
C. Both energy and matter
coupling occurs when the energy released by an exergonic reaction is
Coupling occurs when the energy released by an exergonic reaction is used to drive an endergonic reaction.
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If you were asked to measure the wavelength of this wave, what two points would you use to measure this distance?
Question 8 options:
I would measure the distance between points E and B
I would measure the distance between points A and B
I would measure the distance between points D and E
I would measure the distance between points C and F
Answer:
I would measure the distance between points A and B