Hi there!
We can begin by using Lenz's Law:
[tex]\epsilon = -N\frac{d\Phi _B}{dt}[/tex]
N = Number of Loops
Ф = Magnetic Flux (Wb)
t = time (s)
Also, we can rewrite this as:
[tex]\epsilon = -NA\frac{dB}{dt}[/tex]
A = Area (m²)
Since the area is constant, we can take it out of the derivative.
This is a single wire loop, so N = 1.
Now, we can develop an expression for the induced emf.
We can begin by solving for the area:
[tex]A = \pi r^2 \\\\d = r/2 r = 0.05cm \\\\A = \pi (0.05^2) = 0.007854 m^2[/tex]
We can also express dB/dt as:
[tex]\frac{dB}{dt} = \frac{\Delta B}{t} = \frac{0-0.5}{t} = \frac{-0.5}{t}[/tex]
Now, we can create an equation.
[tex]\epsilon = -(1)(0.007854)\frac{-0.5}{t} = \frac{0.003927}{t}[/tex]
To solve the system, we must now develop an expression for current given an emf and resistance.
Begin by calculating the resistance of the copper wire:
[tex]R = \frac{\rho L}{A}[/tex]
ρ = Resistivity of copper (1.72 * 10⁻⁸ Ωm)
L = Length of wire (0.01 m)
A = cross section area (m²)
Solve:
[tex]R = \frac{(1.72*10^{-8})(0.01)}{\pi (0.001^2)} = 5.475 * 10^{-5} \Omega m[/tex]
Now, we can use the following relation (Ohm's Law):
[tex]\epsilon = iR\\\\\epsilon = \frac{Q}{t}R[/tex]
*Since current is equivalent to Q/t.
Plug in the value of R and set the two equations equal to each other.
[tex]\frac{Q}{t}(5.475 * 10^{-5}) = \frac{0.003927}{t}[/tex]
Cancel out 't'.
[tex]Q (5.475 * 10^{-5}) = 0.003927 \\\\Q = \frac{0.003927}{5.475*10^{-5}} = \boxed{71.73 C}[/tex]
Which of the following is NOT an example of force. A. Gravity. B. Mass. C. A push. D. Friction.
Answer:
Mass
Explanation:
Gravity is a force (sort of keeping something in place)
A push is force (force pushing something)
Friction is force (force that resists sliding or rolling)
What’s the weight of a box w/ a mass of 150kg on earth?
[tex]\text{Weight ,} W = mg = 150 \times 9.8 =1470N[/tex]
Explanation:
f=ma
where force is weight. we know that a is the acceleration of gravity which is -9.8 m/s^2
so f is
-1471.5 N
A basketball player must jump 1.2m in the air in order to dunk. What is the total time he is in the air?
Answer:
0.98 [sec].
Explanation:
1) the time when the player is moving up equals the time the player falls, it can be 't'. Then
2) the equation of moving down can be written as
[tex]\frac{g*t^2}{2} =h, \ where[/tex]
g=10 [m/s²], t - time, h - the given height.
3) according to the formula above the time spent to moving down is:
[tex]t=\sqrt{\frac{2h}{g}};[/tex]
[tex]t=\sqrt{\frac{2.4}{10}}=\sqrt{0.24} =0.49[s].[/tex]
4) finally, the total time is t*2=0.98[sec].
Calculate The pressure produced by a force of 392 N acting on an area of 8.0 m^2
Answer:
Explanation:
500-0.05=499.95
500-100+5=405
100+100=10000
An ideal simple machine is one that...
Select one:
a. conserves force.
b. conserves distance.
c. conserves work.
d. conserves velocity.
An ideal simple machine is one that conserves forces because every input force is useful or not lost to friction and it is considered as a perfect or ideal system.
What is an ideal machine?An ideal machine is a type of machine whose efficiency is 100 percent. This type of machine does not loss heat to friction or does no work against frictional forces.
When energy is not lost to friction, we say that such system is perfect or ideal. Or simply put, such system conserves forces.
In Ideal machine, mechanical advantage is one.
Mechanical advantage = output force / input force
In ideal simple machine, output force = input force
Therefore, ideal simple machine is one that conserves forces because every input force is useful or not lost to friction and it is considered as a perfect or ideal system.
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. Stephen learned that any two objects exert a gravitational force on each other.
If the distance between two objects triples, the gravitational force between
them will change by a factor of what?
F = G mim
Explanation:
Stephen learned that any two objects exert a gravitational force on each other.
If the distance between two objects triples, the gravitational force between
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of 9.
What is gravitational force?The gravitational force is an unobservable force that draws things together. You remain on the ground thanks to Earth's gravity, a gravitational force is a force that also causes objects to fall.
The mathematical expression for the gravitational force is given by
F = G× m₁* m₂ / r ²
As given in the problem statement Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples,
The gravitational force between the objects is inversely proportional to the square of the distance between the object.
Thus, the gravitational force between them changes by a factor of 9.
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The SI unit for force is the _________.
A. mass
B. kilogram
C. newton
D. acceleration of gravity
E. weight
Answer:
Newton
Explanation:
The SI unit for force is the newton.
Answer:
The SI unit of kilogram is Newton. It is denoted by n
A 100 Ohm, 200 Ohm, and 400 Ohm resistors are in parallel with each other. What is the equivalent
resistance? Which resistor would draw the most current, and why?
Answer:
1/R = 1/R1 + 1/R2 + 1/R3
1/1 + 1/2 + 1/4 = 1 + .5 + .25 = 1.75
1/1.75 = .572
multiplying this by 100 gives us
R = 57.2 ohms
The smallest resistor (100 ohms) will draw the most current
(One can also use R = R1 R2 R3 / (R1 R2 + R1 R3 + R2 R3)
Hi there!
We can use the following equation to solve for equivalent resistance:
[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}[/tex]
We can plug in the givens and solve.
[tex]\frac{1}{R_T} = \frac{1}{100} + \frac{1}{200} + \frac{1}{400} \\\\\frac{1}{R_T} = 0.175\\\\R_T = \frac{1}{0.175} = \boxed{57.143 \Omega}[/tex]
The resistor that would draw the most current is the 100 Ohm resistor because current chooses the path of LEAST RESISTANCE. This can also be proved mathematically with the following:
For resistors in parallel, the POTENTIAL DIFFERENCE (VOLTAGE) is the same.
Since I = V/R, a smaller 'R' means a larger 'I'. Thus, the smallest resistor would have the greatest current through it.
Who is the father of the humans?
Answer:
Adam (Arabic:, romanized:dam) is said to be the first human person on Earth, as well as the first prophet (Arabic:, nab) of Islam. Muslims see Adam's role as the father of the human race with veneration.
Explanation:
Answer:
Adam is the name given to the first person in Genesis 1-5. Aside from being the name of the first man, Adam is also used as a pronoun in the Bible, both individually as "a human" and collectively as "mankind."
Explanation:
Mention the objective of the Experiment?
Answer:
I don't understand your question ❓,the object.....of what experiment
What is environmental?
Answer:
Environmental means relating to or caused by the surroundings in which someone lives or something exists. It protects against environmental hazards such as wind and sun. The form the human family takes is a response to environmental pressures.
Explanation:
I HOPE IT HELPS!!
THANX!!!
STAY SAFE!!!!
The force of gravity on an object gives the object its _______.
A. mass
B. kilogram
C. acceleration of gravity
D. weight
Answer:
Weight
Explanation:
The force of gravity on a an object gives the object its weight.
How many times does the light beam shown in FIGURE 26-59 reflect from (a) the top and (b) the bottom mirror?
Answer:
5
Explanation:
Topic : Collisions and Conservation of Momentum
1. Two children are standing still on ice and push off each other. Each has a momentum after the push. Do they violate the conservation of law? Initial momentum is zero.
2. Describe how the conservation law works with elastic and inelastic collisions.
3. In general, for elastic collisions with stationary objects, when will the first object bounce back? When will it follows the stationary object after the collision?
4. What is the use of airbags in vehicles?
5. Why are seatbelt designed to be stretchable?
It is amount of force or motion that cause the movement or moving of body.
Thus it is well explained.
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1.No they do not violate the conservation of law. Because the initial momentum can be zero.
2. The momentum is conserved in both elastic and inelastic collision.
What is the law of conservation of momentum?The momentum of the body before the contact is always equal to the momentum of the body after the impact, according to the rule of conservation of momentum.
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2)[/tex]
1.No they do not violate the conservation of law. Because the initial momentum can be zero.
2. The momentum is conserved in both elastic and inelastic collision. Hence the conservation law works with elastic and inelastic collisions.
3. An elastic collision is one in which kinetic energy is conserved, meaning that the total kinetic energy before and after the impact is the same.
The object bounces once after the body gets struck. When the body's final velocity is zero it follows the stationary object after the collision.
4.. Airbags are meant to inflate automatically in the case of an abrupt deceleration or impact force indicative of a collision.
When the bag is fully inflated, it protects the driver and/or passenger by Increasing cushioning around the driver's neck, head, and spine.
5. Stretchable seatbelts are meant to allow a passenger's considerable velocity to be slowly reduced, preventing the passenger from being flung forward abruptly.
As a result, if the automobile collides, serious casualties can be avoided.
Hence no they do not violate the conservation of law. Because the initial momentum can be zero.
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There are two space ships traveling next to each other. The first one is 500
Kg and the second one is 498 Kg. Since they are 35 meters apart, what is
the force of gravity between the two space ships?
This question involves the concept of Newton's law of gravitation.
The force of gravity between the two spaceships is "1355.78 N".
Newton's Law Of GravitationAccording to Newton's Law of Gravitation:
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
where,
F = force of gravity between ships = ?G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²m₁ = mass of first ship = 500 kgm₂ = mass of second ship = 498 kgr = distance between ships = 35 mTherefore,
[tex]F=\frac{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(500\ kg)(498\ kg)}{(35\ m)^2}\\\\[/tex]
F = 1355.78 N = 1.356 KN
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Two space ships traveling next to each other. The first one is 500 kg and the second one is 498 kg. They are 35 meters apart, the Force of gravity between the two spaceships is 1355.78 N.
It is given that the First spaceship's weight ([tex]m_{1}[/tex]) is 500 kg,
The second spaceship's weight ([tex]\rm m_{2}[/tex]) is 498 kg.
The distance between spaceships (r) is 35 meters.
It is required to find the Force of gravity between these spaceships.
What is Gravitational force?It is defined as the force which attracts any two masses in the universe.
By Newton's law of Gravitation:
[tex]\rm F= \frac{Gm_1m_2}{r^2}[/tex] , Where
[tex]\rm F = The\ force \ of \ gravity \ between \ the \ spaceships\\\rm G= Universal\ Gravitational \ Constant = 6.67 \times 10^{-11} N.m^2/kg^2[/tex]
Putting values in the above formula:
[tex]\rm F = \frac{(6.67\times 10^{-11} N.m^2/kg^2)(500kg)(498kg)}{(35m)^2}[/tex]
F = 1355.78 N = 1.356 KN
Thus, Two spaceships travel next to each other. The first one is 500 kg and the second one is 498 kg. They are 35 meters apart, the Force of gravity between the two spaceships is 1355.78 N.
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Which planet is the farthest?
What are the essential components of successfully competing in the field events:
Power, technique, and timing
Technique, flexibility, and speed
Power, speed, and strength
None of the above
Answer:
Power, technique, and timing
Explanation:
I took the test, hope it helps, dont forget to rate ⭐⭐⭐⭐
Answer:
A
Explanation:
I took the quiz
A solenoid has 450 loops each of radius 0.0254 m. The field increases from 0 T to 3.00 T in 1.55 s. What is the EMF generated in the coil? (Hint: What is the area of a circle) (Unit = Volts)
Answer:
0.175 second
Explanation:
i hope it helps
What is the solution of this?
Answer:
1.2 is the correct answer due to the graph
Explanation:
math teacher
if a company recieved cash in advance for future services what account will need an adjusting entry? A salaries expense B cash C unearned revenue D accounts receivable
the answer is C unearned cash revenue
Answer:
D
Explanation:
The accounts receivable would need to be changed to reset the accounts if the future service received cash in advance
Is this d or not? Pls helppppp
Answer:
B load
Explanation:
definitely not D.
a power source is a battery or a power generator (like at power plants or on good old-fashioned bicycles to have light in the dark).
the fan uses the electrical energy coming from a power source.
if it would be a "propeller" at a wind farm (where power is generated by the wind blowing in between the blades making them turn and as such generating electrical power), then yes, but that is not what the description is telling us.
so, since it is using electrical power to do something, it is a load on the net or circuit or grid.
because it takes out some energy, the actual power generator has to work a little bit harder to maintain the energy level in the grid. just like you have to work harder when you have to carry a bigger weight (or load). hence the name.
the fan will have some conducive material inside (an electrical motor is a structure of coils of wires around magnets, and the power goes through these wires, so they have to be conductive).
and the fan will have a switch, which breaks or establishes the flow of electric energy and therefore determines, if and when the fan is working or not.
If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground (in meters) after t seconds is given by H = 15t − 1.86t2. (a) Find the velocity (in m/s) of the rock after 1 second. 11.5404 Incorrect: Your answer is incorrect. seenKey 11.28 m/s (b) Find the velocity (in m/s) of the rock when t = a. m/s (c) When (in seconds) will the rock hit the surface? (Round your answer to one decimal place.) t = s (d) With what velocity (in m/s) will the rock hit the surface?
(a) The velocity (in m/s) of the rock after 1 second is 11.28 m/s.
(b) The velocity of the rock after 2 seconds is 7.56 m/s.
(c) The time for the block to hit the surface is 4.03.
(d) The velocity of the block at the maximum height is 0.
Velocity of the rockThe velocity of the rock is determined as shown below;
Height of the rock after 1 second; H(t) = 15(1) - 1.86(1)² = 13.14 m
v² = u² - 2gh
where;
g is acceleration due to gravity in mars = 3.72 m/s²v² = (15)² - 2(3.72)(13.14)
v² = 127.23
v = √127.23
v = 11.28 m/s
Velocity of the rock when t = 2 secondv = dh/dt
v = 15 - 3.72t
v(2) = 15 - 3.72(2)
v(2) = 7.56 m/s
Time for the rock to reach maximum heightdh/dt = 0
15 - 3.72t = 0
t = 4.03 s
Velocity of the rock when it hits the surfacev = u - gt
v = 15 - 3.72(4.03)
v = 0
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Why would it be impractical to wire a home with a circuit in which all loads were connected in series.
For residences, series circuits are impracticable. Parallel circuits are practical because each appliance is controlled by its own switch, which prevents the other appliances from being turned off. A) The appliances are all turned on. The conductor wire is carrying a considerable quantity of current (arrow).
Parallel field lines evenly spaced and all pointing left labeled B. There is a point with a vector down labeled v. There is a circle next to the point labeled F. Use the right-hand rule for magnetic force to determine the charge on the moving particle. This is a charge.
By using the right-hand rule for magnetic force to determine the charge on the moving particle, it's a negative charge.
What is magnetic force?It should be noted that the magnetic force simply means the attraction or repulsion that arises between electrically charged particles.
The right-hand rule for magnetic force states that to determine the direction of the magnetic force, one should point the right thumb in the direction of the velocity.
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Answer:
Particle q1 has a charge of 2.7 μC and a velocity of 773 m/s. If it experiences a magnetic force of 5.75 × 10–3 N, what is the strength of the magnetic field?
✔ 2.8
T
In the same magnetic field, particle q2 has a charge of 42.0 μC and a velocity of 1.21 × 103 m/s. What is the magnitude of the magnetic force exerted on particle 2?
✔ 0.12
N
Explanation:
Hope this helps
A professional golfer swings a golf club, striking a golf ball that has a mass of 55.0 g. The club is in contact with the ball for only 0.00410 s. After the collision, the ball leaves the club at a speed of 32.0 m/s. What is the magnitude of the average force (in N) exerted on the ball by the club?
The magnitude of the average force exerted on the ball by the club is 429.27 N.
What is force?Force can be defined as the product of mass and acceleration
To calculate the force exerted on the ball by the club, we use the formula below.
Formula:
F = m(v-u)/t............ Equation 1Where:
F = Force exerted on the ballm = mass of the ballv = Final velocityu = initial velocityt = timeFrom the question,
Given:
m = 55 g = 0.055 kgu = 0 m/sv = 32 m/st = 0.0041 sSubstitute these values into equation 1
F = 0.055(32-0)/0.0041F = 429.27 NHence, The magnitude of the average force exerted on the ball by the club is 429.27 N.
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A train moves from rest to a speed of 22 m/s in 34.0 seconds. What is its acceleration?
Answer: a = 0.647 m/s^2
Explanation:
Acceleration = change in speed / time → a = 22 / 34 → a = .647 m/s^2
Which musical instrument uses resonance?
flute
drums
bongos
electric keyboard
Answer:
It's A: Flute!
What is the electric field strength inside the capacitor? What is the potential energy of a proton at the midpoint of the capacitor?
Answer:
2.4*10^-17 J
Explanation:
E = V/d = 300 V / 3*10^-3 m = 1.0*10^5 V/m
Voltage at midpoint = E*d = 1.0*10^5 V/m * 1.5*10^-3 m = 150 V
ΔV = 300 V - 150 V = 150 V
Charge of a proton = 1.6*10^-16 C
U = qΔV = (1.6*10^-16 C)(150V) = 2.4*10^-17 J
The electric field strength inside the capacitor is 100,000 V/m, the Potential difference at the midpoint is 150V, and the potential energy of a proton at the midpoint of the capacitor is 2.403 x 10⁻¹⁷J.
What is a capacitor?A capacitor is an electronic device that stores electrical energy in an electric field between two conducting plates separated by a dielectric material. When a voltage difference is applied across the plates, a charge is stored on each plate, creating an electric field between the plates. The capacitor can then release this stored electrical energy when needed.
The energy stored in a capacitor is given by the formula:
U = [tex]\frac{1}{2}[/tex]CV²
Where
U =the energy stored in the capacitor,
C = the capacitance of the capacitor,
V =the voltage difference across the plates.
Capacitance is a measure of the ability of a capacitor to store charge and is given by the formula:
C = εA/d
Where C = the capacitance,
ε = the permittivity of the dielectric material between the plates,
A = the area of the plates,
d =the distance between the plates.
Here in the question
To calculate the electric field strength inside the capacitor, we can use the formula:
E = V/d
Where E = the electric field strength,
V =the voltage difference between the plates,
d =the distance between the plates.
In this case, the distance between the plates is d=3mm =0.003m,
the voltage difference is between 0V to 300V.
Now, the electric field strength inside the capacitor is:
E = V/d = 300V/0.003m = 100,000 V/m
To calculate the potential energy of a proton at the midpoint of the capacitor, we can use the formula:
U = qV
Where U = the potential energy,
q =the charge of the particle,
V =the voltage difference between the plates.
In this case, we need to know the charge of the proton.
The charge of a proton = +1.602 x 10⁻¹⁹ C.
At the midpoint of the capacitor, the proton will experience a potential difference of 150V (half of the 300V voltage difference).
Now, the potential energy of the proton at the midpoint of the capacitor is:
U = qV = (1.602 x 10⁻¹⁹ C) x (150V) = 2.403 x 10⁻¹⁷J
Therefore, the electric field strength is 100,000 V/m and the potential energy of a proton at the midpoint of the capacitor is 2.403 x 10⁻¹⁷J.
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Why is a strong skeletal system important for leading an active lifestyle?
Answer:
Explanation:
Because if you don't have strong bones, you will have problems with your health. So, a strong skeletal system is important for leading a healthy life.
What is the name of an ionic compound that consists of lithium ion LI and iodide ion (I)?
Answer:
Lithium iodide
Explanation:
it's formula is LiI
Lithium iodide is a chemical compound composed of lithium and iodine, which when exposed to air turns yellow due to the oxidation of iodide to iodine. It has a chemical formula LiI.
The products, lithium iodide (LiI), sodium iodide (NaI), and cesium iodide (CsI) look like typical ionic compounds; they are all white crystalline solids