An amperian loop of length 14 cm is drawn so that it is always parallel to the magnetic field. the strength of the magnetic field is also constant on the path, at 0.88 t. The current enclosed by the Amperian loop is approximately 98 Amperes.
To determine the current enclosed by the Amperian loop, we can use Ampere's law, which states that the line integral of the magnetic field along a closed loop is equal to the product of the permeability of free space (μ₀) and the current enclosed by the loop. Mathematically, it can be represented as:
∮ B · dl = μ₀ * [tex]I_e_n_c_l_o_s_e_d[/tex],
where ∮ B · dl is the line integral of the magnetic field B along the loop, μ₀ is the permeability of free space (μ₀ = 4π × 10[tex]^(^-^7^)^[/tex] T·m/A), and [tex]I_e_n_c_l_o_s_e_d[/tex]is the current enclosed by the loop.
In this case, the Amperian loop is always parallel to the magnetic field, which means that the angle between the magnetic field and the infinitesimal length dl along the loop is 0 degrees. Therefore, the line integral simplifies to:
∮ B · dl = B * ∮ dl = B * L,
where B is the magnitude of the magnetic field and L is the length of the loop.
Given that the length of the loop (L) is 14 cm = 0.14 m and the magnetic field strength (B) is 0.88 T, we can substitute these values into the equation:
B * L = μ₀ * [tex]I_e_n_c_l_o_s_e_d[/tex].
0.88 T * 0.14 m = 4π × 10[tex]^(^-^7^)^[/tex]T·m/A * [tex]I_e_n_c_l_o_s_e_d[/tex].
0.1232 T·m = 1.2566 × 10[tex]10^(^-^6^)[/tex]T·m/A * [tex]I_e_n_c_l_o_s_e_d[/tex].
Simplifying the equation:
[tex]I_e_n_c_l_o_s_e_d[/tex] = (0.1232 T·m) / (1.2566 ×[tex]10^(^-^6^)[/tex] T·m/A).
[tex]I_e_n_c_l_o_s_e_d[/tex]≈ 98 A.
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During free fall after 7 seconds what would be the velocity of a falling ball ,knowing that the acceleration due to gravity g=9.8 m/s2
Answer:
Vf = 68.67[m/s]
Explanation:
To solve this problem we must use the following kinematics equation:
[tex]v_{f} = v_{i}-(g*t )[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 0
g = gravity = - 9.81 [m/s2]
t = time = 7 [s]
Vf = 0 - (-9.81*7)
Vf = 68.67[m/s]
Anne has a sample of a substance. Its volume is 20 cm3, and its mass is 100 grams. What is the sample’s density?
The sample’s density is
Answer:
density = 5000 [kg/m^3]
Explanation:
Density is defined as the relationship between mass and volume.
Now we have:
m = 100 [gr] = 0.1[kg]
V = volume = 20[cm^3]
[tex]20[cm^{3}]*1[\frac{m^{3} }{100^{3} cm^{3} } ] = 2*10^{-5}[m^{3} ][/tex]
density = 0.1 / (2 x 10^-5)
density = 5000 [kg/m^3]
Answer:5
Explanation:
Why is your immune system tricked by cancer?
Please help
Answer:
The immune system is made up of a network of cells, tissues, and organs that work together to protect the body against infection and maintain overall health. The human body is an optimal environment for pathogens, such as bacteria, viruses, fungi, and parasites to thrive. Your immune system isn't tricked by cancer, it tries to fight off the infection, as the infections gets bigger, your healthy blood cells are not able to fight off the cancer cells.
Explanation: I hope this helps, if not let me know and I will give you a different answer, though this came from my textbook.
Mali loves to make herself dizay. She spins around in place 7 times before falling down right where she
was stand. Find har distance and displacement.
If she is spinning on the spot she is not travelling anywhere so her distance and displacement are zero.
What is Distance and Displacement?Physics words like distance and displacement are crucial to understand right because they are frequently misunderstood.
Displacement, a vector quantity, is the shortest path in a straight line between the starting position and the final position. Distance is a scalar quantity, measuring the total distance traveled by an object.
A vector quantity is different from a scalar quantity in that a vector quantity has directional information while a scalar quantity is just a set of integers. A variable with "half-arrows" above it is a vector quantity.
Therefore, If she is spinning on the spot she is not travelling anywhere so her distance and displacement are zero.
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If the gravitational potential energy is zero at the surface, what is the potential energy for a 35 kg fragment at its maximum height (500 km ) on Io?
Answer:
171500J
Explanation:
Given parameters:
Mass of the body = 35kg
Maximum height = 500km
Unknown:
Potential energy of the body = ?
Solution:
The potential energy of a body is the energy at rest of a body. It is mathematically expressed as;
P.E = mgh
where m is the mass
g is the acceleration due to gravity = 9.8m/s²
h is the height of the body
Now insert the parameters and solve;
P.E = 35 x 9.8 x 500 = 171500J
Suppose snow is falling in Utah. What type of air mass is responsible for this weather?
A ball initially rolling at 10 m/s comes to a stop in 25 seconds. Assuming the ball hass uniform deceleration,
how far does it travel during this time interval PLS HURRY
Answer:
x = 125 [m]
Explanation:
To solve this problem we must use the following kinematics equations.
[tex]v_{f} = v_{i} - (a*t)[/tex]
where:
Vf = final velocity = 0
Vi = initial velocity = 10 [m/s]
t = time = 25 [s]
a = acceleration [m/s2]
Note: the negative sign of the last term of the equation means that the speed decreases, that is, the body slows down.
Now replacing:
0 = 10 - (a*25)
a = 0.4 [m/s^2]
Now we must find the displacement value with the following equation and with the acceleration value found.
[tex]v_{f} ^{2} = v_{i} ^{2}-(2*a*x)[/tex]
where:
x = displacement [m]
(10)^2 = 2*0.4*x
x = 125 [m]
find the displacement shown in the graph. Give your answer to 3 significant figures.
What is the acceleration between 0 and 3 seconds?
What is the relationship between a revolution and an orbit?
A 350-kg sailboat has an acceleration of 0.62 m/s2 at a angle of 64 degrees north of east find the magnitude and direction of the net force that acts on the sail boat
Answer:
The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.
Explanation:
Mechanical Force
The second Newton's law states the net force exerted by an external agent on an object of mass m is:
[tex]\vec F = m.\vec a[/tex]
Where [tex]\vec a[/tex] is the acceleration of the object. Note both the force and the acceleration are vectors. The relationship between them is the mass, a scalar.
This means the net force and the acceleration have the same direction.
The sailboat has a mass m= 350 Kg and moves at a=0.62 m/s^2. The magnitude of the net force acting on the boat is:
[tex]F=0.62 * 350=217\ N[/tex]
As stated above its direction is the same as the acceleration, thus:
The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.
The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.
Newton second law of motion:
Here this law of motion should be applied
We know that
F = ma
Here m means the mass
And, the a means the acceleration
Since m is 350 kg
And, a is 0.62
so the net force should be
= 350 * 0.62
= 217 N
Also the direction should be the same
hence, The net force that acts on the sailboat has a magnitude of 217 N and is applied at an angle of 64° north of east.
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When you think of Genetics, what comes to mind?
Two research groups getting together and sharing thoughts, ideas, and research results is known as ...
a) modeling
b) risk taking
c) observation
d) collaboration
Answer:
D
Explanation: collaboration
Why is pascal called a derived unit
Calculate the increase in the gravitational potential
energy store of a car lifted 2.5m off the floor. The
mass of the car is 950 kg.
Gravitational field strength is 9.8 N/kg.
Spaceship 1 and Spaceship 2 have equal masses of 300 kg. Spaceship 1 has
a speed of 0 m/s, and Spaceship 2 has a speed of 6 m/s. What is the
magnitude of their combinied momentum?
A. 1,200 kg-m/s
B. 18 kg-m/s
C. 1,800 kg-m/s
D. 3,600 kg-m/s
PLEASE HELP FAST
Answer:
C, 1800kg/s
Explanation:
You multiply the mass (300) by the change in the two velocities (6-0=0). Then you’ll get 1800.. sorry if I’m wrong
A cheetah runs at 93km/he to the east. This describes the cheetah’s
A.) Displacement
B.) Instantaneous Speed
C.) Average Speed
D.) Average Velocity
Question 2 of 10
A car with a mass of 2,000 kg travels a distance of 400 m as it moves from
one stoplight to the next. At its fastest, the car travels at 18 m/s. What is its
kinetic energy at this point?
A. 648,000 J
B. 18,000 J
C. 1,620 J
D. 324,000 J
Answer:
D
Explanation:
I just did it on apex
A reference point is an object or location from which the movement of another object is determined. Which of the following could be a reference point?
a house
a point on a map
a moving car
a person
Answer: l, ll, lll, and lV
Explanation: Study island
why does the fast working machine posses more power?
Answer:
A chemical reaction increase in speed with the increase of temperature.. so.. fast working machine posses more power
explain the coin (guinea) and father experiment
Answer:
A vacuum was created in a glass tube by means of a pump. A feather and a gold coin (a guinea) placed inside the tube were dropped at the same time. The two bodies, despite their very different weights, reached the base of the tube together.
Explanation:
Physical Science AIS - AE 20-21-Kotal / Unit 2: Reactions and Radioactivity / The Environment
1. How much carbon dioxide is released when 1 gallon of gasoline is burned?
5 pounds
19 pounds
17 pounds
1 pound
Answer:19
Explanation:
which is heavier , 1kg of steel or i kg of cork
Answer:
Same weight so neither is heavier
Since their masses are equal, their weights are equal whenever they're both on the same planet.
1. Which mathematical representation correctly identifies impulse?
A. implulse= force/time
B. impulse= force * time
C. impulse= acceleration * time
D. impulse= velocity/time
2. In a closed system, a ball with a mass of 3 kg and a momentum of 24 kg·m/s collides into a ball with a mass of 1 kg that is originally at rest. Which statement describes the momentum of the balls and the total momentum?
A. The momentum of each ball changes, and the total momentum stays the same.
B. The momentum of each ball changes, and the total momentum changes.
C. The momentum of each ball stays the same, and the total momentum stays the same.
D. The momentum of each ball stays the same, and the total momentum changes.
3. In a closed system, three objects have the following momentums: 110 kg⋅m/s, −65 kg⋅m/s, and −100 kg⋅m/s. The objects collide and move together. What is the total momentum after the collision?
A. -55 kg*m/s
B. -275 kg*m/s
C. 275 kg*m/s
D. 55 kg*m/s
4. In a closed system, an object with a mass of 1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s. The total momentum of the system is 250 kg⋅m/s. What is the mass of the second object?
A. 3.0 kg
B. 3.5 kg
C. 5.0 kg
D. 1.5 kg
5. A cue stick has a mass of 0.5 kg. The cue stick hits a ball with a mass of 0.2 kg at a velocity of 2.5 m/s. What is the velocity of the ball after it is hit?
A. 2.5 m/s
B. 8.3 m/s
C. 6.3 m/s
D. 3.6 m/s
Answer:
1. B. Impulse = Force × Time
2. A. The momentum of each ball changes, and the total momentum stays the same
3. -55 kg·m/s
4. B. 3.5 kg
5. C. 6.3 m/s
Explanation:
1. The impulse is the momentum change of an object due to a force applied for a given period
2. Given that the objects collide, and the force of the 3 kg mass moving with 24 kg·m/s acts on the 1 kg mass while the total momentum is conserved;
The stationary ball of mass 1 kg begins to moves at certain velocity after collision and therefore changes momentum, while the velocity of the ball of mass 3.0 kg reduces and the total combined momentum of the two balls in the closed system remains the same
3. By the principle of conservation of linear momentum, we have;
The sum of the momentum before the collision = The sum of the momentum after collision
Given that the objects move together after the collision, the total momentum is therefore;
Total momentum = 110 kg·m/s + -65 kg·m/s + -100 kg·m/s = 110 kg·m/s - 65 kg·m/s - 100 kg·m/s = -55kg·m/s
4. Given that the final velocity of the two objects (m₁ + m₂) combined = 50 m/s
Where;
m₁ = The mass of the first object
m₂ = The mass of the second object
The total momentum of the system = 250 kg·m/s
From momentum = Mass × Velocity, we have;
Mass = Momentum/Velocity = 250 kg·m/s/(50 m/s) = 5.0 kg
The mass (m₁ + m₂) = 5.0 kg
Given that m₁ = 1.5 kg, we have;
m₂ = 5.0 kg - m₁ = 5.0 kg - 1.5 kg = 3.5 kg
The mass of the second object = 3.5 kg
5. The mass of the cue stick = 0.5 kg
The velocity of the cue stick = 2.5 m/s
The mass of the ball = 0.2 kg
The initial velocity of the ball = 0 m/s
Given that total initial momentum = Total final momentum, we have;
0.5 kg × 2.5 m/s + 0.2 kg × 0 = 0.2 kg × v + 0.5 kg × 0
0.5 kg × 2.5 m/s = 0.2 kg × v
v = (0.5 kg × 2.5 m/s)/(0.2 kg) = 6.25 m/s ≈ 6.3 m/s
PLEASE PLEASE HELP!!!!!!
The atomic mass is a measure of _____.
A. charge
B. protons plus neutrons
C. atomic energy
Answer:
the answer is B
Explanation:
The atomic mass of an atom is the sum of the protons plus neutrons it has.
Which theory do scientists believe MOST LIKELY explains the creation of the universe?
A) Big Bang Theory
B) Radiation Theory
C) Red Shift Theory
Eliminate
D) Butterfly Effect Theory
Hundreds of years ago, it was believed by many that our solar system was Geocentric. This means that Earth is at the center of the solar system, with the Sun and other planets orbit around it. Today, the solar system is now thought to be Heliocentric.
What does this mean?
A) The Sun and other planets orbit Earth.
B) Earth and all the other planets orbit the Sun.
C) The other planets orbit Earth, and Earth orbits the Sun.
D) The Sun orbits Earth and the other planets orbit the Sun.
Answer:
1st one is: A
2nd one is: B
what does it mean by the fact that the acceleration of a car is 5m/s square??
Answer:
An acceleration of 5m/s^2 means that the velocity of a body is increasing by 5m/s per second in a certain direction
Explanation:
A tram of 800kg takes 6 seconds to stop after travelling at a constant speed of 18m/s. Calculate the deceleration and the force needed to be applied by the brakes to stop the tram.
Answer:
-3m/s²
2400N
Explanation:
Given parameters:
Mass of tram = 800kg
Time taken = 6s
Constant speed = 18m/s
Unknown:
deceleration = ?
force on brake = ?
Solution:
Deceleration is the opposite of acceleration. This is the rate of change of velocity with time;
Deceleration = [tex]\frac{V - U}{t}[/tex]
V is the final velocity = 0m/s
U is the initial velocity = 18m/s
t is the time taken
Deceleration = [tex]\frac{0-18}{6}[/tex] = -3m/s²
Force needed to to stop the tram;
Force = mass x acceleration
Insert parameters and solve;
Force = 800 x 3 = 2400N
A car starts from rest and accelerates uniformly at 6.6 m/s2 for 10.s. How far does the car travel?
Explanation:
s = ut + 1/2at²
= 0(10) + 1/2×6.6×(10)²
= 3.3 × 100
= 330 m
PLEASE ASAP
Giving a brainlist
Answer:
Stationary
Explanation:
This is a position-time graph, meaning it shows an object's position over time. If the line is flat, it means that the object has not changed position during that time period, therefore it is stationary between the points g and h.
Hope this helped!
You need to estimate the floor area of your unusual oval shaped living room from memory you remember that it is longer than wider and is about 6m long . So you take it to b rectangular with a witdth of 0.5 m and multiply width by length to get an estimate of 3m why was your estimate not done correctly
Answer:
Our estimate not done correctly because the width was unrealistic.
Explanation:
Given that,
Length = 6 m
Width = 0.5 m
We need to calculate the area of rectangular floor
Using formula of area
[tex]A=l\times w[/tex]
Where, l = length
w= width
Put the value into the formula
[tex]A=6\times0.5[/tex]
[tex]A=3\ m^2[/tex]
We need to find why this estimate not done correct
Using given data
We can say that,
We assume width was unrealistic.
The length of room is 6 m.
We know that,
[tex]1\ m=3.28\ feet[/tex]
So, the length would be 20 feet.
The width of room is 0.5 m.
The width of room would be 1.64 feet.
So, the area will be
[tex]A=20\times1.64[/tex]
[tex]A=32.8\ feet^2[/tex]
Hence, Our estimate not done correctly because the width was unrealistic.
