Answer:
The value of time T₁ is 0.323 sec
Explanation:
Given the data in the question;
The inductor will be shorted after a long time;
I = V / R
given that; I = 20.0 A and V = 240 V
we substitute
20 = 240 / R
20R = 240
R = 240 / 20
R = 12 Ohms
Now, when I = 5.00 A
voltage across inductor = 240 - ( 5.0 × 12 )
voltage across inductor = 180 V
so
180 = L × di/dt
given that; increasing at a rate of 20.0 A/s
180 = L × 20
L = 180 / 20
L = 9 H
Now, for the time constant of circuit is T₁
T₁ = L / R = 9 / 12
T₁ = 0.75 s
so
I = l₀( 1 - [tex]e^{(-T/T_1)[/tex] )
we substitute
7.00 = 20.0( 1 - [tex]e^{(-T/0.75)[/tex] )
7/20 = 1 - [tex]e^{(-T/0.75)[/tex]
0.35 = 1 - [tex]e^{(-T/0.75)[/tex]
0.35 - 1 = - [tex]e^{(-T/0.75)[/tex]
-0.65 = - [tex]e^{(-T/0.75)[/tex]
0.65 = [tex]e^{(-T/0.75)[/tex]
ln(0.65) = -T₁ / 0.75
-0.43078 = -T₁ / 0.75
-T₁ = -0.43078 × 0.75
-T₁ = -0.323
T₁ = 0.323 sec
Therefore, The value of time T₁ is 0.323 sec
1. What is the difference between longitudinal and transverse waves? Compare and contrast the direction of their movement, movement of a molecule through the completion of a cycle, and amplitude and wavelength measurements of each type of wave.
2. Suppose that a wave has a period of 0.03 second. What’s its frequency? Be sure to show the steps for your work.
3. Compare a wave that has a period of 0.03 second with a second wave that has a period of 1/4 second. Which wave has the greater frequency? Be sure to show the steps for your work.
4. If a wave has wavelength of 4.5 meters and a period of 0.07 second, what’s the velocity of the wave? Be sure to show the steps of your work.
5. Using the image below, identify the numbered parts of the wave.
Answer:
Explanation:
1. The waves in which the partciles of medium vibrates in the same direction of propagation of wave, are called longitudinal waves.
The waves in which the partciles of medium vibrates in the perpendicular direction of propagation of wave, are called transverse waves.
2. Period, T = 0.03 s
The frequency is given by the reciprocal of the period.
[tex]f=\frac{1}{T}\\\\f =\frac{1}{0.03}\\\\f = 33.3 Hz[/tex]
1. Transverse waves carry molecules at right angles to the direction in which the wave travels. Within a cycle, molecules move from their normal position to the highest position, back through the normal position to the lowest point, and then back to the normal position. The molecules retain their horizontal positions while vibrating vertically. Amplitude is measured at right angles to the direction of the travel of the wave. Wavelength can be represented as the distance between any two molecules in phase with each other, such as the two nearest molecules at the crests of the wave.
Longitudinal waves carry molecules parallel to the direction in which the wave travels. Within a cycle, a molecule travels in the same direction as the wave (from normal position to its most distant point on one side of its normal position), changes direction, moves back through its normal position to the opposite side of its normal position at a point that corresponds, and then returns to its normal position. The molecules don’t all move at the same time; some remain stationary as others go through a vibrating motion. Compressions and rarefactions occur here. Amplitude is measured parallel to the direction of the wave. Wavelength may be represented as the distance between the two nearest molecules that didn’t vibrate, the two nearest molecules at maximum compression, or the two nearest molecules at maximum rarefaction.
2. f = 1⁄T
f = 1⁄0.03
f = 33. 3 Hz
3. The first wave has a frequency of 33.3 Hz:
f1 = 1⁄T1
f1 = 1⁄0.03
f1 = 33. 3 Hz
The second wave has a frequency of 4 Hz. f2 = 1⁄T2
f2 = 1⁄1⁄4
f2 = 1 ÷ 1⁄4
f2 = 1 × 4⁄1
f2 = 1⁄1 × 4⁄1
f2 = 4 Hz
Therefore, the first wave has a higher frequency.
4. v = I⁄T
v= 4.5⁄0.007
v = 642.9 m/s
5. Wavelength
Crest
Trough
Amplitude
3. A certain horizontal east-west lined wire has a mass of 0.2kg per meter of length and carries a current I. Impressed on the wire is northward-directed horizontal magnetic field strength of 0.4T. Find the current I if the magnetic force is to support the weight of the wire? (use: g = 10m/s?)(3pts)
Answer:
i = 4.9 A
Explanation:
The expression for the magnetic force in a wire carrying a current is
F = i L x B
bold letters indicate vectors.
The direction of the cable is towards the East, the direction of the magnetic field is towards the North, so the vector product is in the vertical direction (z-axis) upwards and the weight of the cable is vertical downwards. Let's apply the equilibrium condition
F - W = 0
i L B = m g
They indicate the linear density of the cable λ = 0.2 kg / m
λ = m / L
m = λ L
we substitute
i B = λ g
i = [tex]\frac{ \lambda \ g}{B}[/tex]
let's calculate
i = 0.2 9.8 / 0.4
i = 4.9 A
What are the sign and magnitude in coulomb's of a point charge that produces a potential of -1.50 V at a distance of 2.00 mm
Answer:
The sign of the charge is negative
The magnitude of the charge is 3.33 x 10⁻¹³ C
Explanation:
Given;
potential difference, V = -1.5 V
distance of the point charge, r = 2 mm = 2 x 10⁻³ m
The magnitude of the charge is calculated as follows;
[tex]V = \frac{kq}{r} \\\\q = \frac{Vr}{k} \\\\where;\\\\k \ is \ coulomb's \ constant = 9\times 10^9 \ Nm^2/C^2\\\\q = \frac{-1.5 \times 2\times 10^{-3}}{9\times 10^9 } \\\\q = -3.33 \times 10^{-13} \ C\\\\Magnitude \ of \ the\ charge, q = 3.33 \times 10^{-13} \ C[/tex]
A air glider of mass 1.0 kg that is equipped with a spring bumper travels at a speed of 2.5 m/s toward a second stationary glider of mass 0.75 kg. What is the final speed of the 0.75 kg cart
Answer:
the final speed of the 0.75 kg cart is 2.86 m/s
Explanation:
Given;
mass of the air glider, m₁ = 1.0 kg
initial speed of the air glider, u₁ = 2.5 m/s
mass of the stationary cart, m₂ = 0.75 kg
initial speed of the stationary cart, u₂ = 0
Let the final speed of the stationary cart = v₂
Also, let the final speed of the air glider = v₁
Since the air glider has a spring bumper, the collision will be elastic.
Apply the following principle of conservation of linear momentum for elastic collision.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(1 x 2.5) + 0.75(0) = v₁ + 0.75v₂
2.5 = v₁ + 0.75v₂
v₁ = 2.5 - 0.75v₂ ----------- (1)
Apply one-dimensional velocity concept since the collision occured in one direction;
u₁ + v₁ = u₂ + v₂
2.5 + v₁ = 0 + v₂
v₁ = v₂ - 2.5 ----- (2)
solve (1) and (2) together;
v₂ - 2.5 = 2.5 - 0.75v₂
v₂ + 0.75v₂ = 2.5 + 2.5
1.75v₂ = 5
v₂ = 5 / 1.75
v₂ = 2.86 m/s
Therefore, the final speed of the 0.75 kg cart is 2.86 m/s
According to federal dietary guidelines which if these nutrients is underconsumed ?
Answer:
According to federal dietary guidelines, Magnesium among these nutrients is under-consumed.
The diets of most people in the United States provide less than the recommended amounts of magnesium. Old age (people above 65 to 70 mostly) and younger people are most likely to have low intakes of magnesium.
Low magnesium intake for a long period of time, however, can lead to magnesium deficiency and some severe illness due to these deficiencies.
Explanation:
What is the reaction force when baseball catcher catches and stops a baseball?
When the baseball catcher catches a baseball, then ... during the time that he is slowing the ball down and stopping it ... he is exerting an action force with his glove on the ball, and the ball is exerting an equal and opposite reaction force on his glove.
Describe the relationship between the period of a pendulum and the length of the pendulum?
Answer:
The period of the pendulum is directly proportional to the square root of the length of the pendulum
We can also notice that the period of a pendulum does not depend on its mass.
Explanation:
What are vectors and Scalar?
Answer:
vectors are the quantities that are described by both magnitude and direction
scalar are the quantities that are described by magnitude only
I hope it helps
Answer:
scalar : just magnitude
vector : magnitude and direction
Explanation:
Scalar And Vector. ... A scalar quantity is defined as the physical quantity that has only magnitude, for example, mass and electric charge. On the other hand, a vector quantity is defined as the physical quantity that has both magnitude as well as direction like force and weight.
How much power is required to light a lightbulb at 100V of voltage when the lightbulb has a resistance of 500 Ohms?
Answer:
20 Watt
Explanation:
Applying
P = V²/R................... Equation 1
Where V = Voltage, P = Power, R = resistance
From the question,
Given: V = 100V, R = 500 ohms
Substitute these values into equation 1
P = (100²)/500
P = 10000/500
P = 20 Watt.
Hence the power required to light the bulb is 20 W
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1.2 m/s2 for 4.5 seconds. It then continues at a constant speed for 12.1 seconds, before getting tired and slowing down with constant acceleration coming to rest 87 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. 1) How fast is the hare going 3.6 seconds after it starts
Answer:
[tex]v=4.32m/s[/tex]
Explanation:
From the question we are told that:
Accelerates at rate of [tex]1.2m/s^2[/tex]
Acceleration time [tex]t_a=4.5secs[/tex]
Velocity time 1 [tex]t_{v1}=12.1secs[/tex]
Deceleration distance [tex]d_a=87meters[/tex]
Generally the Newton's equation for motion is mathematically given by
[tex]V=at[/tex]
[tex]v=(1.2)3.6[/tex]
[tex]v=4.32m/s[/tex]
Monochromatic light passes through two slits separated by distance of 0.03 mm. Calculate the wavelength of the light if the angle from the centre fringe to the third maximum is 3°.
Answer:
I love you...I Miss u and love you too...I miss my mom
Find the acceleration due to gravity on the surface of a planet with a mass of 3.5 * 10^24 kg and an average radius of 4.5 * 10^6 m.
Explanation:
.........
.....
.......
what is photoelectron
Answer:
The answer is:-
Explanation:
An electron emitted from an atom by enteraction with an photon, especially an eclectron emitted from a solid surface by the action of light.
Because the earth's orbit is slightly elliptical, the earth actually gets closer to the sun during part of the year. When the earth is closer to the sun its orbital speed is Group of answer choices less than when the earth is farthest away from the sun. the same as when the earth is farthest away from the sun. greater than when the earth is farthest away from the sun. Flag question: Question 13 Question 13.
Closer to the sun . . . orbital speed is faster.
Farther from the sun . . . orbital speed is slower.
Flag answer: Answer 13 Answer 13
A stretched rubber band is an example of which type potential energy
Answer: elastic potential energy
Explanation:
Answer:
Elastic potential energyExplanation:
A stretched rubber band has the potential to do work or change things. This form of energy is called elastic potential energy.
❣️✧Jess bregoli ✧❣️#keep learning!!A bullet has a mass of 0.0042kg. The muzzle velocity of the bullet coming
out of the barrel of the rifle is 993m/s. What is the KE of the bullet as it
exits the gun barrel?
Answer:
KE= 1/2mv^2= 1/2*0.0042kg*993m/s= 2.0853joule
An electric drill at 400 W is connected to 120 V power line. What is the resistance of the drill?
Answer:
36 ohm
Explanation:
Given :
P=400 W
V=120V
Now,
[tex]P=\frac{V^{2} }{R} \\400=\frac{120^{2} }{R} \\400R=14400\\R=\frac{14400}{400} \\R=36 ohm[/tex]
Therefore, resistance of the drill will be 36 ohm
Which of the following never cause a change in the motion of an object? O A. Net forces O B. Unbalanced forces C. Balanced forces D. Contact forces
Answer:
Hello There!!
Explanation:
The answer is C. Balanced forces.
hope this helps,have a great day!!
~Pinky~
Balanced forces never cause a change in the motion of an object. Hence, option C is correct, rest are not correct.
What is a Balanced Force?Unless another force is added, forces will always be in balance. The forces are equal, for instance, when the paper, pencil, and pen are set. Selfishly, they push and pull. However, when gravity is added, it pulls the object down, causing it to fall.
When two forces are equal in size and have the same direction, they are said to be balanced. They are thought of as being in an equilibrium state. The motion or direction of an object cannot be changed by balanced forces; instead, they maintain the object's motion at a constant speed.
A force that is exerted in one direction more than it is in the other is said to have imbalanced forces. An object's speed and/or direction change when unbalanced forces are exerting pressure on it.
To get more information about balanced forces :
https://brainly.com/question/19127263
#SPJ2
Consider two identical stars, A and B. Star B is 10 times farther away than star A. What is the difference in magnitudes between the two stars?
You can't tell. It depends on other things besides just their distance.
IF the stars are really really "identical", then the magnitude of Star-B is the number that is 6 more than the magnitude of Star-A.
A violinist is tuning her violin to 440Hz. She plays the note while listening to an electronically generated tone and hears 3Hz, which increases to 4Hz when she tightens the violin. What was the frequency of the note played by the violin when she heard the 3 Hz beats
Answer:
[tex]X=438Hz[/tex]
Explanation:
From the question we are told that:
Beat Frequency [tex]Fb=440Hz[/tex]
Actual Frequency [tex]F_a=3Hz[/tex]
Generally the equation for Frequency Heard X is mathematically given by
[tex]X=beat\ frequency\ +\ actual\ frequency[/tex]
[tex]X=F_a+Fb[/tex]
[tex]X= 440Hz+3Hz[/tex]
[tex]X=438Hz[/tex]
While an object is in projectile motion (with upward being positive) with no air resistance ct is in projectile motion (with upward being positive) with no air resistance, Group of answer choices the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g. the vertical component of its velocity remains constant and the vertical component of its acceleration is equal to -g the horizontal component of its velocity remains constant and the horizontal component of its acceleration is equal to -g the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to zero. the vertical component of both its velocity and its acceleration remain constant.
Answer:
The horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.
Explanation:
This is because, the projectile has both vertical and horizontal components of velocity. But, its vertical component of velocity changes as the object moves whereas, its horizontal component of velocity remains constant.
Also, the projectile has only vertical component of acceleration and no horizontal component of acceleration since, its horizontal component of velocity remains constant. Thus, no change in the horizontal component of velocity.
The vertical component of acceleration is equal to -g since, the weight is the only vertical force acting on it.
So, the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.
pair of two hollow cups is term as
Answer:
Magdeburg hemispheres are a pair of large copper hemispheres, with mating rims.
Explanation:
They were used to demonstrate the power of atmospheric pressure. When the rims were sealed with grease and the air was pumped out, the sphere contained a vacuum and could not be pulled apart by teams of horses.
What is the difference between muscular strength and muscular endurance
It is important to use the correct drying tempture because it prevents shrinkage and will not damage the garment.
True or False
Answer:
fjowe
Explanation:
kbegtrf3g4ef j3kq4ef 3w4beysrf2w4er8f6ywgbaebf7v2wy4egdwa4i6e5
Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31. How many neutrons are in an atom of phosphorus? A.15 B.16 C.31 D.46
(31-15 = 16).
Explanation:
the element phosphorus (P) has an atomic number of 15 and a mass number of 31. Therefore, an atom of phosphorus has 15 protons, 15 electrons, and 16 neutrons
Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31, there are 16 neutrons in an atom of phosphorus, therefore the correct answer is option B
What is the atomic number?The total number of protons present in an atom is known as the atomic number of that atom. The atomic number has no correlation either with the number of neutrons or the number of electrons present inside an atom.
As given in the problem Phosphorus (P) is an element with an atomic number of 15 and an atomic mass of 31
Total number of proton in phosphorus = 15
Total number of neutrons in the phosphorus = atomic mass - atomic number
Total number of neutrons in the phosphorus =31 -15
Total number of neutrons in the phosphorus = 16
Thus, the total number of neutrons in a phosphorus atom would be 16, therefore the correct answer is option B
To learn more about the atomic number here, refer to the link;
brainly.com/question/14190064
#SPJ2
150 0.0000
2. Use the distance from the previous problem to calculate how long it takes for light to travel from the
Sun to Earth.
300,000,000X 15000,000,
Answer:
t = 5 10² s
Explanation:
Light is an electromagnetic wave that travels at a constant speed of 3 10⁸ m/s in vacuum.
The distance from the Sun to the Earth is 150 10⁶ km
Let's reduce the distance to the SI system
x = 150 10⁶ km (10³ m / 1 km) = 150 10⁹ m
Since the velocity is constant, we can use the uniform motion relations
v = x / t
t = x / v
let's calculate
t = 150 10⁹ / 3 10⁸
t = 5 10² s
A model plane has a mass of 0.75 kg and is flying 12 m above the ground
with a speed of 18 m/s. What is the total mechanical energy of the plane?
The acceleration due to gravity is 9.8 m/s2.
Answer:
Option C. 210 J.
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 0.75 Kg
Height (h) = 12 m
Velocity (v) = 18 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Total Mechanical energy (ME) =?
Next, we shall determine the potential energy of the plane. This can be obtained as follow:
Mass (m) = 0.75 Kg
Height (h) = 12 m
Acceleration due to gravity (g) = 9.8 m/s²
Potential energy (PE) =?
PE = mgh
PE = 0.75 × 9.8 × 12
PE = 88.2 J
Next, we shall determine the kinetic energy of the plane. This can be obtained as follow:
Mass (m) = 0.75 Kg
Velocity (v) = 18 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 0.75 × 18²
KE = ½ × 0.75 × 324
KE = 121.5 J
Finally, we shall determine the total mechanical energy of the plane. This can be obtained as follow:
Potential energy (PE) = 88.2 J
Kinetic energy (KE) = 121.5 J
Total Mechanical energy (ME) =?
ME = PE + KE
ME = 88.2 + 121.5
ME = 209.7 J
ME ≈ 210 J
Therefore, the total mechanical energy of the plane is 210 J.
A projectile is fired with an initial velocity of 120 meters per second at an unknown angle above the horizontal. If the projectile's speed at the top of the trajectory is 45 meters per second, what is the unknown angle
Answer:
[tex]68.0^{\circ}[/tex]
Explanation:
A projectile's vertical velocity at the top of its flight path must be zero, therefore the speed at the top of the trajectory must be referring to the object's horizontal velocity. Since there are exactly zero horizontal forces acting on the object, its horizontal velocity will remain the exact same throughout the entire launch. Thus, the horizontal component of the initial launch must be 45 meters per second, and we have the following equation using basic trigonometry for a right triangle:
Let [tex]\theta[/tex] be the unknown angle above the horizontal.
[tex]\cos \theta=\frac{45}{120},\\\theta=\arccos(\frac{45}{120})=67.97568716^{\circ}\approx \boxed{68.0^{\circ}}[/tex]
Which of the following statements best describes energy conservation in heat engines?
A. The heat engine's energy is exhausted to the outside system.
B. The sum of the heat placed into the hot reservoir and the work collected equals the energy transferred from the cold reservoir.
C. A volume of heat is discharged to the cold body where some waste energy is in a form of heat in this engine.
D. The work derived from the heat engine is equal to the energy placed into the hot reservoir.
an inclined plane rises to a height of 2m over a distance of 6m calculate the angle of the slope
Answer:
Explanation:
Slope is rise over run and, consequently, it is also the tangent ratio. the side measuring 2 is the height of the right triangle that is formed by the inclined plane (the hypotenuse), the height, and the base (the ground or surface that the plane is sitting on). If we use the tangent ratio,
[tex]tan\theta=\frac{2}{6}=\frac{1}{3}[/tex] so
[tex]tan^{-1}(\frac{1}{3})=\theta[/tex] so
θ = 18.4 which is also the angle that makes that slope.