The first-order red and blue fringes for the two dominant wavelengths are separated by 0.188 meters.
To determine how far the nth number dark fringe is from the screen's center fringe, Young's experiment is employed. With the following formula, which is written as,
dsinθ= mλ
Here, the screen's distance from the slits is (d) and the wavelength of the light is (λ).
A hydrogen discharge lamp emits light with the two most noticeable wavelengths at 486 nm and 656 nm (red) (blue).
530 line/mm diffraction grating illuminated by hydrogen lamp light. Consequently, the distance's value will be,
[tex]d = \frac{1}{530} = 1.8 * 10^{-3}[/tex] mm
The angle value for the red light is,
[tex](1.8 * 10^{-6} )[/tex]sinθ = [tex]1* 656 *10^{-9}[/tex]
sinθ = 364.44 * [tex]10^{-3}[/tex]
θ = 21.37
On a screen 1.50 m behind the grating, the light is visible. how far away the red light is,
Y = (1.7)tan 21.37 = 0.665 m
The angle value for the blue light is,
[tex](1.8 * 10^{-6} )[/tex]sinθ = [tex]1* 486 *10^{-9}[/tex]
sinθ = 270 * [tex]10^{-3}[/tex]
θ = 15.66
On a screen 1.50 m behind the grating, the light is visible. how far away the red light is,
Y = (1.7)tan 15.66 = 0.476 m
The first-order red and blue fringes are separated by a distance of,
0.665 m - 0.476 m = 0.188 m
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A wire loop, 2 meters by 4 meters, of negligible resistance is in the plane of the page with its left end in a uniform 0.5-tesla magnetic field directed into the page, as shown above. A 5-ohm resistor is connected between points X and Y. The field is zero outside the region enclosed by the dashed lines.
If wire loop is being pulled to the right with a constant velocity of 3 meters per second , then the potential difference induced between points X and Y is 3V .
it is given that a 5Ω resistor is connected between points X and Y ;
the magnetic field (B) = 0.5 ;
length of wire (l) [tex]=[/tex] 2 ;
velocity of the wire loop (v) = 3 m/s ;
the potential difference will be induced because charge separation on the vertical hand wire of wire loop.
Points X and Y are the same as the top and bottom of left wire.
The EMF(potential difference) induced in wire is given by
EMF = B*l*v
substituting the values ,
we get
= (0.5)(2)(3) = 3V
Therefore , the induced potential difference between points X and Y is 3V .
The given question is incomplete , the complete question is
A wire loop, 2 meters by 4 meters, of negligible resistance is in the plane of the page with its left end in a uniform 0.5-tesla magnetic field directed into the page. A 5-ohm resistor is connected between points X and Y. The field is zero outside the region enclosed by the dashed lines. The loop is being pulled to the right with a constant velocity of 3 meters per second. Make all determinations for the time that the left end of the loop is still in the field, and points X and Y are not in the field.
Determine the potential difference induced between points X and Y.
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The table lists the kinetic energy of a 4.0 kilogram mass as it travels in a straight line for 12.0 seconds.
Time
(seconds) Kinetic Energy
(joules)
0.0 0.0
2.0 8.0
4.0 18
6.0 32
10.0 32
12.0 32
Calculate the speed of the mass at 10.0 seconds.
m/s
So the speed of object of mass 4 Kg and kinetic energy of 32 j at 10 second is 4 m/s.
What is kinetic energy?Kinetic energy is the energy that an object has when it moves or changes its position. As long as an object is moving at the same speed, it maintains the same kinetic energy.
The kinetic energy of an object is calculated from the object's velocity and mass. As can be seen from the equation below, velocity is quadratic and can have a large effect on kinetic energy.
KE = ¹/₂ mv²
v = √(2KE/m)
Where, v = velocity
M = Mass of object (4.0 Kg)
KE = Kinetic energy (32 j)
v = √(2 × 32/4)
v = √16
v = 4 m/s
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Two long parallel wires are placed side by side on a horizontal table. The wires carry equal currents in the same direction. Which of the following statements are true? Check all that apply. The magnetic field is a maximum at a point midway between the two wires The magnetic force between the two wires is attractive. The magnetic force between the two wires is repulsive. The magnetic field at a point midway between the two wires is zero.
When two long parallel wires are placed side by side on a horizontal table and the wires carry equal currents in the same direction, the magnetic field at a point midway between the two wires is zero.
When two parallel wires carry current in the same direction, they exert equal and opposite attractive forces on each other. Thus, the net magnetic field at midpoint is zero. While, Two parallel wires carrying current in opposite directions repel and try to move away from each other.
Similarly, if you have two parallel wires with current traveling in opposite directions, as you do in the series circuit, then the magnetic fields of the two wires will be traveling in the same direction at the point at which they intersect, and therefore repel each other.
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the use of the doppler effect in the study of astronomy
Calculate the internal energy of 1.2moles of steam at 177degree
Answer:
18447 J
Explanation:
To calculate the internal energy of steam at a given temperature, we need to know the specific heat capacity of steam and the enthalpy of vaporization. The specific heat capacity of steam at a constant pressure is approximately 2.08 J/g*K, and the enthalpy of vaporization (latent heat) at 100°C is 2257 kJ/kg.
We can use the following equation to calculate the internal energy of steam at a given temperature:
U = m * Cp * (T - T_b) + m * L
Where U is the internal energy, m is the mass of the steam, Cp is the specific heat capacity of steam, T is the temperature of the steam, Tb is the boiling temperature of the steam, and L is the enthalpy of vaporization.
Since we are given the amount of steam in moles (1.2 moles) and the temperature (177°C), we can convert the moles of steam to mass using the molar mass of water (18 g/mol). The boiling temperature of water at standard atmospheric pressure is 100°C, so we can use this value for Tb.
First, we need to convert the temperature from degrees Celsius to kelvins:
T = 177°C + 273 = 450 K
Then, we can calculate the mass of the steam:
m = 1.2 moles * 18 g/mol = 21.6 g
Substituting these values into the equation for internal energy, we get:
U = 21.6 g * 2.08 J/g*K * (450 K - 273 K) + 21.6 g * 2257 kJ/kg
Solving for the internal energy, we get:
U = 18,447 J
Therefore, the internal energy of 1.2 moles of steam at 177°C is approximately 18,447 J.
Matt Calvani hits a golf ball with an initial velocity of 88m/s at an angle of 10° with the ground.
(a) Find the total flight time of the golf ball.
(b) Find the range of the golf ball
(c) Find the speed of the golf ball at the instant before it hits the ground
Bonus +3) Find the maximum height above the ground that the ball reaches
A golfer travels 80 meters horizontally when striking the ball. The ball took 1.8 seconds to go through the air. Using a 10° angle with the ground or an initial velocity exceeding 88m/s, Matt Calvani smashes a golf ball.
What is an easy way to define velocity?A particle or object's displacement with regards to time is expressed vectorially as velocity. The meter per second (m/s), also referred to as speed, is the accepted unit of velocity magnitude.
What do you call 0 velocity?From the pickup location to the destination, passenger cars are driving. uniform constant velocity motion The term "zero uniform velocity motion" refers to uniform motion with no acceleration. given that
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A long, thin solenoid has 900 turns per meter and radius 2.50 cm. The current in the solenoid is
increasing at a uniform rate of 60.0 A/s. What is the magnitude of the induced electric field at a
point near the center of the solenoid and (a) 0.500 cm from the axis of the solenoid; (b) 1.00 cm
from the axis of the solenoid?
A) The magnitude of induced electric field 0.5 cm is [tex]1.7\times 10^{-4} V/m[/tex]
B) the magnitude of induced electric field 1.0 cm is [tex]3.4 \times 10^{-4} V/m[/tex]
As per given in the question,
number of turns of a thin solenoid ( n) is 900
the change in current in solenoid ( [tex]\frac{di}{dt}[/tex] ) is 60
radius of the solenoid ( r ) is 2.5cm
by using the formula of solenoid
[tex]B = \mu_0ni[/tex]
where
B is the solenoid magnetic flux
N is the number of turns
I is the current
[tex]\mu_0[/tex] is the magnetic constant
[tex]\frac{db}{dt} =\mu_0n\frac{di}{dt}[/tex]
=> (4[tex]\pi[/tex] x [tex]10^{-7}[/tex]) ( 900) (60)
=>[tex]\frac{db}{dt}[/tex] = 0.068 T/s
Using the derived electric field equation,
E = [tex]\frac{r}{2} (\frac{db}{dt} )[/tex]
a) electric field at 0.5 cm is
[tex]E=(\frac{0.5\times10^{-2} }{2} )(0.068)[/tex]
=> 1.7 x [tex]10^{-4}[/tex] V/m
b) electric field at 1.0 cm is
[tex]E=(\frac{1\times10^{-2} }{2} )(0.068)[/tex]
=> 3.4 x [tex]10^{-4}[/tex] V/m
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two small spheres carry electric charges of equal magnitudes. there are equally spaced points (a , b , and c) which lie along the same line.
The right response is option number B. Electric field can be represented by a vector arrow because of vector quantity. To calculate the size of the electric field, we can apply the equation E=k |Q| r2E=k|Q| r2.
How can you determine an electric field's direction at a specific location?The electrical force acting on a positive test charge at a location in space has the same direction as the electrical field there.
What three types of electric fields are there?Electric field components can be found in electromagnetic waves , X-rays, radio waves, and microwaves. Within a conductor that is carrying current, there is an external electric field. Charges create electrical fields.
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schedules of reinforcement farm workers are paid x amount of dollars for every basket of fruit that they pick
Schedules of reinforcement farm workers are paid x amount of dollars for every basket of fruit that they pick is based on the concept of fixed ratio.
A strengthening timetable, during which an answer or reaction is only strengthened after yet another given reaction can be determined, could be determined as a fixed ratio schedule. The particular topic gives a variety of questionnaires/solutions and therefore is subsequently rewarded by the educator or coach.
The man is under a fixed interval schedule of reinforcement, while the woman is under a fixed ratio schedule of reinforcement. Fixed interval reinforcement is a type of reinforcement that gives reward only after a specific period of time has passed. A fixed ratio reinforcement is a type of reinforcement that is based on production rate.
The other type is variable ratio. Variable Ratio schedule of reinforcement will give a person rewards after he/she fulfil a specific amount of works.
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An object of mass m is launched from planet of mass and radius R. E v 50 % Part (a) Derive and enter an expression for the minimum launch spced needed for the object to escape gravity, i.. to be able to just reach v=M(2GMR ) Correct_ 50 % Part (b) Calculate this minimum launch speed (called the escape speed) , in meters per second for a planet of mass M = 7 x 1024kg and R = 82 102 km_ Grad Summart v( 2 * 6.67 10-11 * 7 * 1024/( 82 10- Dcducuons Porentual 985
An expression for the minimum launch speed needed for the object to escape gravity, i.. to be able to just reach v=M(2GMR ) The minimum launch speed is V = 0.08 × 10¹¹ J.
A property of a body that is a measure of inertia is usually viewed as a measure of the amount of matter contained in the body that causes it to have weight in a gravitational field. Mass is a dimensionless quantity that describes the amount of matter in a particle or object.
Calculation:-
minimum launch speed
M = 7 x 1024kg
R = 82 102
v=M(2GMR )
v = 2 * 6.67 10-11 * 7 * 1024
v = 0.08 × 10¹¹ J.
The mass of an object is a measure of its inertial properties or the amount of matter it contains. The weight of an object is a measure of the force exerted on it by gravity, or the force required to support it. Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass.
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how to calculate the frequencies and wavelengths of standing waves on a string, in an open-open pipe, or a closed-open pipe.
If you are aware of the separation between nodes and antinodes, the string (or pipe) length, and the harmonic that is present.
What is harmonic?
A harmonic wave, such as a sinusoidal wave, has a frequency that is an integer multiple of the fundamental frequency, or the frequency of the initial periodic signal. The first harmonic of the original signal is also referred to as that; higher harmonics are the other harmonics.
Use this equation if you know the separation between nodes and antinodes:
2
λ \s \s =D
D stands for the separation between adjacent nodes or antinodes.
Also
The formula v = f gives the wavelength. Since the frequency is fixed, the only way to alter the wavelength of the waves is to alter their speed.
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A 2.0 kg mass attached to an ideal spring oscillates horizontally with an amplitude of 0.15 m.
N
The spring constant is 85
N/m.
What is the period of the mass’s motion?
Anything parallel to the horizon is called horizontal.
What is the period of the motion?The period of the object's motion is defined as the time for the object to complete one full cycle. Being a time, the period is measured in units such as seconds, milliseconds, days or even years. The standard metric unit for period is the second. An object in periodic motion can have a long period or a short period.Given that,The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.“Period” is rooted in the Greek words “peri” and “hodos” (periodos) meaning “around” and “way/path.” This eventually turned into the Latin “periodus” meaning “recurring cycle.” Use of the English term “period” to describe menstruation began in the early 1800s (1).A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15º. The period of a simple pendulum is T=2π√Lg T = 2 π L g , where L is the length of the string and g is the acceleration due to gravity.
The mass attached to the spring, m = 1.5 kg
The amplitude of the spring, A = 0.3 m
The spring constant of the spring, k = 85 N/m
We need to find the period of the mass's motion. The time period in spring mass system is given by :
[tex]T=2\pi \sqrt{\frac{M}{K} }[/tex]
[tex]T=2\pi \sqrt{} \frac{1.5}{85}[/tex]
[tex]T=0.83s[/tex]
So, the period of the mass's motion is 0.83 seconds.
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Answer: 0.96s
Explanation:
Khan
In the figure, a climber leans out against a vertical ice wall that has negligible friction. Distance a is 0.945 m and distance L is 1.95 m. His center of mass is distance d = 0.89 m from the feet-ground contact point. If he is on the verge of sliding, what is the coefficient of static friction between feet and ground?
The coefficient of static friction between feet and ground is 0.2522.
What is static friction?Static friction is defined as when there is no motion between the two surfaces, the force that one surface applies to another. The friction that exists between two or more objects when they are not moving relative to one another is referred to as static friction.
The coefficient of static friction between his feet and the ground, denoted by the symbol s, determines how to express the frictional force as
fs =μsFN1
The μs can be calculated as
μs = a / √L² - a² x d / L
μs = 0.945 / √(1.95)² - (0.945)² x 0.89 / 1.95
μs = 0.945 / √2.91225 x 0.89 / 1.95
μs = 0.2522
Thus, the coefficient of static friction between feet and ground is 0.2522.
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NAME THAT DISORDER
For the following scenarios, identify the psychological disorder indicated (if there is definitely a disorder). Indicate the reason why you chose that diagnosis (i.e., what are the symptoms/behaviors presented). According to your textbook (or any other source you would like to use), what might be an appropriate course of treatment (use all that could apply) for the diagnosis you chose. Try to be as specific as possible.
Homework assignment is due prior to the start of class on WEDNESDAY, DECEMBER 14TH.
1. When Lila saw the policeman turn on his flashing blue lights and motion her to pull over, her heart rate increased, her mouth felt dry, and she quite nervous about what was going to happen.
2. Although doctors could find no evidence of brain damage, Ralph could not remember driving the car that was involved in the accident that resulted in the deaths of his wife and son.
3. When Sammi saw Andrea three months ago, Andrea was too busy to talk. She was involved in all kinds of plans for a vague new business that she was sure to make her a fortune. But just last week, Sammi heard that Andrea was feeling very low, was sleeping most of the time, and had given up all plans to do just about anything.
4. Timothy was having an increasingly difficult time completing his reading assignments. He was becoming unsure if what he was reading was really there or if his mind was making things up. This was not helped by the “kryptonite rays” being emitted by the smoke detector and the hidden camera spying on him from behind the mirror in his room.
5. Ever since her home was burglarized, Maria double checks to make sure the doors are locked before going to bed.
6. Randall is so afraid of bacteria that each day he must wash each dish and utensil three times in scalding, soapy water and then rinse each dish exactly twenty seconds. If he deviates from this ritual in the slightest way, he must wash all the dishes and utensils again.
7. Everything was hopeless. Francine felt that because she was such a horrible wife and mother she felt she didn’t deserve to live and that her husband should find a better person to be with. She cried all the time and couldn’t escape her sadness.
8. When the helicopter crash landed, Yusef was horrified. He and he pilot were injured and the gas tank could blow at any time. Although he had a broken arm, Yusef was able to pull both himself and the unconscious pilot out of the plane and to safety before it blew. But ever since that time, the unbroken arm he used to save himself and the pilot has been ‘paralyzed’ and Yusef does not appear to be too upset about it.
9. Carlos, who is turning 40, is very worried about having about having a heart attack since his brother, father, and grandfather died of heart attacks in their 40s.
10. On the way home, Celia found herself having difficulty breathing, and her heart was pounding so hard that she could barely see clearly. She pulled off the road where she continued to hyperventilate, feel dizzy, and have sweaty palms. After about 10 minutes or so, her breathing returned to normal and she continued on her drive home.
Where the exercise here is to name the disorder, note that:
It should be mentioned that medication (such as antidepressants or benzodiazepines) and/or counseling may be used to treat a panic disorder such as cognitive-behavioral therapy.
A suitable course of treatment for dissociative disorders may involve counseling (such as cognitive-behavioral therapy, trauma-focused therapy, or psychodynamic therapy) and/or medication.
The focus of psychodynamic therapy is on unconscious processes as they show in the client's current behavior. Client self-awareness and knowledge of the effect of the past on present behavior are the aims of psychodynamic therapy.
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For a particular nonlinear spring, the relationship betweem the magnitude of the applied force F and the resultant displacement x from equilibrium is given by the equation F = k x^2 What is the amount of work done by stretching the spring a distace x0? A) kx0^3 B) (1/2)kx0 C) (1/2)kx0^3 D) (1/3)kx0^2 E) (1/3)kx0^3
To get the work, you have to integrate the force as a function of [tex]$x$[/tex] from zero displacement to Xo
[tex](Integral of) $\mathrm{k} \mathrm{x}^{\wedge} 2 \mathrm{dx}$ from 0 to $\mathrm{Xo}_{\mathrm{o}}=(1 / 3) \mathrm{k}\left(\mathrm{Xo}^{\wedge}\right)^{\wedge} 3$[/tex]
The work done by stretching the spring to the given distance is [tex]W=\frac{k x_0}{3}[/tex]
The given parameters:
- Applied force on the spring [tex]$=F$[/tex]
- Extension of the spring [tex]$=x_0$[/tex]
The work done by stretching the spring to the given distance is calculated as follows;
[tex]W=\frac{k x_0}{3}[/tex]
[tex]$$\begin{aligned}& W=\int_{x_a}^{x_b} F d x \\& W=\int_{x_a}^{x_b} k x^2 d x \\& W=k \int_{x_a}^{x_b} x^2 d x \\& W=k\left[\frac{x^3}{3}\right] \\& W=k\left[\frac{x_b-x_a}{3}\right] \\& W=k\left[\frac{x_0-0}{3}\right] \\& W=\frac{k x_0}{3}\end{aligned}[/tex]
Thus, the work done by stretching the spring to the given distance is
[tex]W=\frac{k x_0}{3}[/tex]
measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
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The top of a 240 foot vertical tower is to be anchored by cables that make an angle with a measure of 54 degrees with the ground. How long must each cable be? ___ feet
How far from the base of the tower should the anchors be placed? ___ feet
Each cable must be 300 feet long and the base must be at 179 feet.
The vertical tower, cables and distance between ground and tower will form a right angled triangle. So, we will use Pythagoras theorem to find the length of each cable and base.
sin 54 = height of vertical tower ÷ length of cables
sin 54 = 240 ÷ length
Length = 240/sin 54
Length = 240/0.8
Length = 300 foot
tan 54 = height of vertical tower ÷ distance of base of tower
Distance = 240/tan 54
Distance = 240/1.38
Distance = 173.9 foot
Hence, length should be 300 foot and distance should be 173.9 foot.
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Design a parallel RLC circuit (see (Figure 1)) with a resonant radian frequency of 5000 rad/s. Take that L 10 mH.a) Find the value of C Express your answer to three significant figures and include the appropriate units. C= 4.00 μFb) Find the value of R so that the response is critically damped. Express your answer to three significant figures and include the appropriate units R- 25.0 Ω
The value of R so that the response is critically damped using the equation is 25.0Ω.
What is Farads?Farads is the unit of measure for capacitance, which is the amount of electrical charge stored for a given voltage. Farads can be used to measure the amount of energy stored in a capacitor, which is made up of two conductive plates separated by an insulating material. The higher the capacitance, the more energy can be stored in a given capacitor. Farads are named after Michael Faraday, the British scientist who discovered the relationship between electricity and magnetism.
The resonant frequency of an RLC circuit is given by the equation:
ω_r=1/sqrt(LC)
where ω_r is the resonant frequency in rad/s, L is the inductance in Henries, and C is the capacitance in Farads.
Given the resonant frequency of 5000 rad/s and the inductance of 10 mH, we can calculate the capacitance as follows:
C=1/(ω_r^2*L)
C=1/(5000^2*0.01)
C=4.00μF
We can find the value of R so that the response is critically damped using the equation:
R=2*sqrt(L/C)
R=2*sqrt(0.01/4.00)
R=25.0Ω
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which of the following sequences lists methods for determining distance in the correct order from nearest to farthest?
Parallax, main-sequence fitting, cepheid variables, Tully-Fisher relation, and Hubble's law are the sequence lists methods for determining distance.
Parallax is the closest method for determining distance. This method uses the principle of triangulation to measure the distance of a nearby star relative to Earth. Main-sequence fitting is another method used to measure the distance of stars. This method compares the brightness of a star to other stars of known distance and luminosity to determine its distance.
Cepheid variables are stars whose brightness varies in a predictable way over time. This method uses the period of the star's brightness to determine its intrinsic luminosity, and then its distance. The Tully-Fisher relation is a method for measuring the distance of galaxies. This method uses the rotation speed of the galaxy and its brightness to calculate its distance.
Finally, Hubble's law is the most distant method for determining distance. This law states that the farther away a galaxy is, the faster it moves away from us. This allows us to calculate the distance of galaxies by measuring their rate of recession.
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if two objects are falling on with a small mass and the other with a large mass where is the center of mass
Various objects' respective centers of mass. The center of mass of symmetrical, homogeneous objects is located at the centroid of those objects.
Rings, circles, squares, cuboids, and other similar shapes are examples of symmetrical and uniform things.
Due to this air resistance, Galileo discovered that heavier or more dense things fall more quickly than less dense ones. The feather falls more slowly due to air resistance.
Gravitational acceleration is unaffected by mass in any quantifiable sense. The two amounts don't depend on one another. Only when forces other than gravity are at play do light items accelerate more slowly than heavy objects.
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(1) A table tennis ball is dropped
onto the floor from a height of
4m and it rebounds to a height of
3m. If the time of contact with the floor is 0.01s, what is the magnitude and direction of the acceleration during the contact.
Answer:
Here, h1=4.00m,h92)=3.00m,Delta t =0.01 s.Letv1 be the velocity of the ball (actind downwards) just before striking the floor an dv20 be the velocity of the ball (acting upwaeds) ust after striking the floor. Then, change in velocity of the ball in time Δtv2−(−v1)v2+v1
:. acceleration, a=v2+v1Δt ..(i)
When body falls from height h1,
then u=o,v1,a=gandS=h1
As, v21=u2+2aS,
:. v_(1) ^(2) =0 + g h_(10 or v12–√gh1
Taking motion of the ball after striking the floor, then u=v2,v=0,a=−g,S=h2
As, v2=u22as,∴v21=0+2gh1orv_(1) =sqrt 32 g h_(1)Tak∈gmotionoftheballa>erstrik∈gthe⌊,⌋thenu=v_(2), v=0, a=- g, S=h_(2)As,v2=u2+2aS,wehave0 = v_(2)^(2) +2 (-g) h_92) otr v2=2–√gh2
Putting values in (i) we get,
a=2–√gh2+2–√gh1Δt)
a=2–√×9.8×3+2–√×9.8×40.01
= 1652m/s2.
Explanation:
A 2.2-mm-diameter and 10-m-long electric wire is tightly wrapped with a 1-mm-thick plastic cover whose thermal conductivity is k = 0.15 W/m.K. Electrical measurements indicate that a current of 13 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient of h = 24 W/m2.K, determine (a) the temperature (in °C) at the interface of the wire and the plastic cover in steady operation. Electrical wire To = 30°C Insulation 10 m (c). Continue the previous questions. Determine if doubling the thickness of the plastic cover will increase or decrease this interface temperature. will increase interface temperature because of heat transfer from interface decrease will decrease interface temperature because of heat transfer towards interface decrease will decrease interface temperature because of heat transfer from interface increase will increase interface temperature because of heat transfer towards interface increase will have no effect on interface temperature
Doubling the thickness of the plastic cover increases the rate of heat loss and decreases the interface temperature.
Given:
The diameter of the electric wire t=1mm
The diameter of plastic cover ro=1+1.1=2.1
Internal conductivity of plastic cover k=0.15w/MK
the current passed through circle I=13A
voltage drop v=8v
temperature T=30c
Heat transfer fluid h=24w/m^2k
Let To be the temperature of the wire and T1 is the temperature of the plastic cover.
the heat generated Q=>v*I=13*8=104 watt
Now the heat generated is connected and converted through wire
Q= To-T1/ln(ro/rc)/2pi*KL+1/hAo
104=To-30/ln(2.2/1.1)/2pi*0.15*10+1/24*20*0.00021*16
104=To-30/0.38439
To=69.9768c
To=70c
The temperature at the Interface of the wire is 70c
Now, the heat generated is connected to the wire
Q=To-T1/ln(ro/rc)/2piKL
104=70-T1/ln(2.1/1.1)/2pi*0.15*10
7.13536=10-T1
T1=6.2864c
The critical radius of Isolation:
rc=k/h=0.5/24
rc=6.25*10^-3m
rc=6.25mm
Now the thickness of isolation is increased to double
ro=1.1+2=3.1mm
Now,rc>ro ie critical radius of isolation is greater than the outer radius of the circle.
∴doubling the thickness of the plastic cover increases the rate of heat loss and decreases the interface temperature.
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two objects of unequal masses, m and m (m > m), are connected by a very light cord passing over an ideal pulley of negligible mass. when released, the system accelerates, and friction is negligible.
M will experience a net downward force, which will cause it to accelerate downhill, while M will experience a net upward force, which will cause it to accelerate upward.
As the same string is attached to both the blocks, it applies the same upward force = tension in the string.
Hence the length of the upward arrows should be the same.
Secondly, the weight of m is lesser than M. Hence, the arrow below m will be smaller than that below M.
This also means that the net force on M will be downwards, and hence, it will accelerate downwards and that on m will be upwards and hence it will accelerate upwards.
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When the turntable is turned on and rotates at 45.0 rev/min, calculate the centripetal force needed to keep the fly from slipping?
The centripetal force needed to keep the fly from sleeping will be zero point 0.00176 Newton in magnitude.
The mass of the fly is 2 gram and it is selling itself on a phonograph turntable.
The fly is at a distance of 4 cm away from the center of the phonograph turntable and when the turntable is turned on and retreats with 45 Revolution per minute the centripetal force that would be working on the fly will be given by,
F = Mw²R
Where,
M is mass of the fly,
w is the angular speed of the fly and,
R is the radius of the turnable.
Putting all the values,
F = 0.002×(4.7)²×0.04
F = 0.00176N.
So, a centripetal force of magnitude 0.00176 Newton will be required in order to keep the fly from slipping.
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Complete question- A fly of mass 2.00 g is sunning itself on a phonograph turntable at a location that is 4.00 cm from the center. When the turntable is turned on and rotates at 45.0 rev/min, calculate the centripetal force needed to keep the fly from slipping?
Calibration of a bomb calorimeter is performed with: Select the correct answer below: a. a specific volume of water b. a specific mass of copper c. a reaction with known.
d. manually entered data
A reaction with a known q, such as a measured amount of benzoic acid ignited by a spark from a nickel fuse wire that is weighed before and after the reaction, is used to calibrate bomb calorimeters.
How is a bomb calorimeter calibrated?By releasing a known amount of thermal energy through an electric heater and measuring the subsequent rise in temperature, the calorimeter is calibrated. The energy released when a certain amount (for example, 1 mol, 1 g, or 1 L) of a substance burns entirely in oxygen is known as the heat of combustion.
What type of fuel is the reference fuel for bomb calorimeter calibration?A typical standard used in Bomb calorimeters, which keep a constant volume, is benzoic acid. If. Burning 1.2 g of benzoic acid at a temperature of 24 degrees, with excess oxygen present, releases 31.723 J of energy.
What does calorimeter calibration entail?When calibrating CALORIMETERS, a known electric current is frequently generated inside of them, and the measuring device is then watched for deflection while the system is in a steady condition. Heat loss along the leads through which the calibrating current is injected could be a drawback for this procedure.
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Two long parallel straight wires carry equal currents inopposite directions. At a point midway between the wires, themagnetic field they produce is:
O zero
O non-zero and along a line connecting the wires
O non-zero and parallel to the wires
O non-zero and perpendicular to the plane of the two wires
O none of the above
The right answer is D, which is non-zero and parallel to the plane of the two wires. When an electric current flows through a solenoid, a magnetic field is produced.
Using the right-hand rule, the magnetic field at the halfway point is inside the paper because of the wire on the left and inside because of the wire on the right. At x=a parallel to the y-axis with z=0, two parallel wires carrying equal currents in opposite directions are set up. When an electric current flows through a solenoid, a magnetic field is produced. Your thumb will be pointing in the general direction of the conventional current when your right hand is wrapped around the solenoid. Your fingers will be pointing in the general direction of the magnetic north pole. By using the right hand rule, it is possible to determine the direction of the cross product as follows: The index finger is pointing in the velocity vector v's direction. The middle finger is used to indicate the magnetic field vector B's direction.
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TRUE OR FALSE in physics, every physical quantity is measured with respect to a unit. time is measured in seconds, length is measured in meters, and mass is measured in kilograms. knowing the units of physical quantities will help you solve problems in physics.
The unit of G is found out to be m³/kg * s².
The force of gravitational attraction is represented by the equation.
F = (G m₁ m₂)/r²
where,
F is the magnitude of the gravitational attraction on either body
m₁ and m₂ are the masses of the bodies,
r is the distance between them
G is the gravitational constant
We need to find the unit of G,
G = (F * r²)/(m₁ m₂)
Let us place the units for the above formula,
G = (N * m²)/kg²
N = kg m/s²
G = (kg * m * m²)/ kg² * s²
G = m³/kg * s²
Thus, the correct option is m³/kg * s².
The question is incomplete. The complete question is 'Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equation.
F= Gm1 m2 /r^2
where F is the magnitude of the gravitational attraction on either body, m1 and m2 are the masses of the bodies, r is the distance between them, and G is the gravitational constant. In Sl units, the units of force are kg m/s^2, the units of mass are kg, and the units of distance are m. For this equation to have consistent units, the units of G must be which of the following?
a. kg^3/ms^2
b. kgs^2/m^3
c. m^3/kgs^2
d. m/kgs^2
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The body reaches a velocity of 6 m/s. Calculate the distance travelled by the object to reach this velocity.
The distance travelled by the body is determined as 9 m.
What is the distance travelled by the body?
The distance travelled by the body is calculated by applying the following kinematic equation as shown below.
Mathematically, the kinematic equation is given as;
v² = u² + 2as
where;
v is the final velocity of the bodyu is the initial velocity of the bodya is the constant acceleration of the bodys is the distance travelled by the bodyThe given parameters include the following;
the initial velocity of the body = 0
the final velocity of the = 6 m/s
the constant acceleration of the body = 2 m/s²
the distance travelled by the body = ?
The distance travelled by the body is calculated as follows;
v² = u² + 2as
v² = 0 + 2as
v² = 2as
s = v² / 2a
s = ( 6² ) / ( 2 x 2 )
s = 9 m
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The complete question is below:
A body started from rest at constant acceleration of 2 m/s², the body reaches a velocity of 6 m/s. Calculate the distance travelled by the object to reach this velocity.
a uniform beam of mass m is inclined at an angle to the horizontal. point p produces a 90 bend in a very rough rope tied to a wall. mass m is suspended as shown. there is friction between the floor and the beam. use the equilibrium conditions to find tension, t, and friction ff?
Friction is a force that prevents two solid objects from rolling or sliding over one another.
Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion. A force called friction opposes the relative motion of two materials or objects. These resistive forces are brought on by deformations, surface roughness, and molecule adhesion. Between two surfaces that are sliding or attempting to slide over one another, there is a force called friction. For instance, friction makes it challenging to push a book down the floor. Friction always moves an object in the direction that is counter to the direction that it is traveling or attempting to move.
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if an object producing sound is moving away from you, you would observe a wavelength than an object moving toward you. group of answer choices
If an object producing sound is moving away from us, the wavelength of the sound heard is longer than the actual wavelength. The conclusion is from the concept of Doppler effect.
What is the Doppler effect?The Doppler's effect is a phenomenon when the source of a wave and an observer move relative to each other, the frequency heard is not the same with the actual frequency.
The equation of the Doppler effect is
f₀ = [(v ± v₀)/(v ± vs)] × fs
Where
f₀ = observer frequency of soundv = speed of sound waves (340 m/s)v₀ = observer velocityvs = source velocityfs = actual frequency of sound wavesNote:
v₀ (+) if the observer moves closer to the sound source.vs (+) if the sound source moves away from the observer.When an object producing sound is moving away from us, the frequency of the sound we heard changed.
Let's say we are at rest, it means v₀ = 0. The sound source is moving away makes vs (+).
With the Doppler's effect, we get
f₀ = [(v+0) / (v+vs)] × fs
f₀/fs = v/(v+vs)
v < v+vs
f₀ < fs
The frequency of sound we heard is lower that the actual frequency.
The wavelength is inversely proportional to the frequency. It is described in the equation:
λ = c/f
It means that the lower the frequency, the longer the wavelength.
Hence, the phenomenon which the wavelength of the sound we heard is longer than the actual wavelength when the sound source is moving away from us is called the Doppler's effect.
Here is the group of answer choices:
(a) Band width
(b) Doppler's effect
(c) Sound refraction
(d) Vibrations
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a glass of water is filled to a depth of 10.0 cm with water. a swimming pool is filled to a depth of 10.0 cm with water. which of these has the greatest force exerted on the bottom of the container
A swimming pool has the greatest force exerted on the bottom of the container.
We know the formula for pressure as force upon area. Mathematically,
Force = Pressure* Area
From the above equation, it is clear that, force is directly proportional to area and force is directly proportional to pressure.
It is given that, depth of glass of water is 10 cm and depth of swimming pool is filled with water.
As the area of swimming pool is greater than that of a water glass, the force at the bottom of the swimming pool is greater than that of a force at the bottom of the water glass.
Thus, the force at the bottom of the water glass is greater.
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