The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
Expression for the electric fieldAn expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;
E = kq/r²
where;
k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]
Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].
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What are the spectral type, temperature, absolute magnitude number, and luminosity of
star a?
The spectral type is B, the temperature is 18,000, the absolute magnitude is 0 and the luminosity is 100.
What is luminosity?The value of luminosity is independent of an observer's distance from an object since it is an absolute measure of radiant power.
Astronomers commonly express an object's brightness in terms of solar luminosities, with one solar luminosity equaling the luminosity of the Sun.
Hence, the spectral type is B, the temperature is 18,000, the absolute magnitude is 0, and the luminosity is 100.
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2 large parallel plates are 2.0 cm apart. the strength of the electric plates between them is 100.0 n/c . what is the difference in the voltage between them?
Hello!
We can use the following equation for the potential difference between two parallel plates given an electric field and separation distance:
[tex]V = Ed[/tex]
V = Potential Difference (? V)
E = Electric field strength (100.0 N/C)
d = distance between places (0.02 m)
Plug in the values and solve.
[tex]V = (100)(0.02) = \boxed{2 V}[/tex]
Anna sets up the circuit shown using a resistor, an LDR and a battery. She finds that when she shines a torch on the LDR the voltage across the resistor increases. Explain why the voltage increases.
The voltage across the resistor increases because extra electron gained by the LDR when the light is shone on it.
Increase in the voltage
Increase in the voltage can occur due to some of the following reasons.
From Ohm's law voltage is directly proportional to current flowing in a circuit.
V ∝ I
The voltage across the resistor increases because extra electron gained by the LDR when the light is shone on it.
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Question 1 of 32
Evaluate sin(55°).
From the four figure table, the value of sin(55°) to 4 dp is 0.8192.
What are trigonometric ratios?The term trigonometric ratios are those ratios that are obtained using the sides of a right angled triangle and they are sine, cosine and tangent.
If we have the value sin(55°), upon evaluation, we realize that the value of sin(55°) to 4 dp is 0.8192.
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Supplementary units are dimensionless. Give reasons
Answer:
Supplementary units are the dimensionless units that are used along with the base units to form derived units in the International system.
Explanation:
Since they have no units under SI system, they can be considered dimensionless.
Hope it helps you :))))
have a good day
If a car is traveling along a highway at a speed of 30 meters/second, what distance will it cover in one minute?
A.
0.5 meter
B.
2 meters
C.
90 meters
D.
180 meters
E.
1,800 meters
Answer:
E......1,800 meters
Explanation:
distance = speed × time
convert 1 min to seconds because speed is give in meters per seconds so it's which is 60 seconds
Then...60 ×30 = 1,800
whats does 14.600 oz = to in grams
Given that 1 ounce equals 28.35 grams, the value of 14.600 ounces in grams is approximately 413.9g.
What is the value of 14.600 oz in grams?Note that:
1 ounce = 28.35 grams
Given that;
Value of mass = 14.600 ozValue of mass in gramsSince 1 ounce = 28.35 grams, 14.600 oz will be;
14.600 oz = ( 14.600 × 28.35) grams
14.600 oz = 413.9g
Given that 1 ounce equals 28.35 grams, the value of 14.600 ounces in grams is approximately 413.9g.
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Two blocks are on a horizontal frictionless surface. Block a is moving with an initial velocity
The final velocity of the block A will be 2.5 m/sec. The principal of the momentum conversation is used in the given problem.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
In a given concern, mass m₁ is M, mass m₂ is 3M. Initial speed for the mass m₁ and m₂ will be u₁=5 and u₂=0 m/s respectively,
According to the law of conservation of momentum
Momentum before collision =Momentum after collision
m₁u₁+m₂u₂=(m₁+m₂)v
M×5+3M×0=[M+3M]v
The final velocity is found as;
V=51.25 m/s
The velocity of block A is found as;
[tex]\rm V_f=\frac{(m_1-m_2)u_1}{m_1+m_2} +\frac{2m_2u_2}{m_1+m_2} \\\\ V_f=\frac{(M-3M)5+2\times3M\times0}{m_1+m_2} \\\\ V_f=2.5 m/s[/tex]
Hence, the final velocity of the block A will be 2.5 m/sec.
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When a baseball is hit, it travels around 65 mps (meters per second). the mass of the baseball is 0.145 kg. what is the kinetic energy of the baseball?
Answer:
306J
Explanation:
The formula for kinetic energy is given as ½mv².
Using this, we get our answer by substituting the values into the formula.
½ × 0.145kg × 65m/s
= 306.31J
can be rounded off to 306J
7) Which forces can be either attractive or
repulsive?
(1) gravitational and magnetic
(2) electrostatic and gravitational
(3) magnetic and electrostatic
(4) gravitational, magnetic, and electrostatic
The magnetic and electrostatic can be either attractive or repulsive. The correct option is C.
What is force?A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects.
Non-contact forces, such as electrostatic forces, pull or push on objects without actually making contact with them.
When certain materials are rubbed together, a phenomenon known as "charge" can be transferred from one surface to another.
One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges.
When two charge-containing objects move in the same direction, a magnetic attraction pulls them together.
Thus, the correct option is C.
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The particle of 2 velocities 10m/s due east and 12m/S in the direction 30N/E. What is the resultant velocity and the direction?
Answer:
See below
Explanation:
East components are 10 and 12 cos 30 = 20.392 m/s
North component = 12 sin 30 = 6 m/s
Resultant velocity = sqrt ( 20.392^2 + 6^2) = 21.26 m/s
direction arc tan (6/20.392) = 16.4 degrees N of east
A ball rolling without slipping on a horizontal surface encounters a frictionless
The motion of the ball on the frictionless ramp is defined by increasing translational speed with non zero angular speed. The correct option is C.
What is angular speed?When a body is moving on a circular track, the speed of the particle is called as the angular speed.
When a ball is rolling without slipping, the motion is both translational and rotational. At point of contact at rest, the velocity is zero. The ball rolls without slipping only if the ball moves with zero speed at point of contact.
On the inclined part, the gravity acts straight downward. Velocity remains constant, ramp pushes back the ball and so the ball pushes ramp. There will be no acceleration and velocity remains constant. The angular speed is directly proportional to the linear velocity.
Thus, the correct option is C.
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What is the frequency of a photon of emr with a wavelength of 2.55x10-3m?
Answer:
f = 1.18 x 10¹¹ Hz
Explanation:
The equation used to find frequency is:
f = c / w
In this form, "f" represents the frequency (Hz), "c" represents the speed of light (3.0 x 10⁸ m/s), and "w" represents the wavelength (m).
Since you have been given the value of the constant (c) and wavelength, you can substitute these values into the equation to find frequency.
f = c / w <---- Formula
f = (3.0 x 10⁸ m/s) / w <---- Plug 3.0 x 10⁸ in "c"
f = (3.0 x 10⁸ m/s) / (2.55 x 10⁻³ m) <---- Plug 2.55 x 10⁻³ in "w"
f = 1.18 x 10¹¹ Hz <---- Divide
Sound waves with a constant frequency of 250 hertz are traveling through air at stp. what is the wavelength of the sound waves
Answer:
wave length is 1.2m
Explanation:
since formula of wave length is v/f
v(speed of sound in air at stp is 300ms^-1)
f(frequency 250hertz)
then wave length is 300÷250 which give 1.2m
Sound waves with a constant frequency of 250 hertz are traveling through air at stp. what is the wavelength of the sound waves is 1.32 m.
What is wave ?Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.
Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave. Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave. Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave.
speed of the wave,
c = νλ
330 m/s = 250λ
λ = 330/250 = 1.32 m
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According to the universal law of gravitation, the force due to gravity is b. directly proportional to the square of the distance between objects. d. not dependent on the distance between objects. c. inversely proportional to the distance between objects. a. inversely proportional to the square of the distance between objects. e. directly proportional to the distance between objects.
According to the universal law of gravitation, the force due to gravity is a. inversely proportional to the square of the distance between objects.
What is the universal law of gravitation?
Newton's law of universal gravitation states that objects are attracted to each other in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of their distance apart.
The equation that represents this law is;
F = G × M1M2 ÷ r∧2
Where,
F is the gravitational force acting between two objects
M1 and M2 are the masses of the objects
r is the distance between the centers of their masses
G is the gravitational constant.
Thus. according to the universal law of gravitation, the force of gravity is inversely proportional to the square of the distance between objects.
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Explain how fusion and fission are similar to and different from each other at the atomic level. Explain which
process is currently used at most nuclear power plants around the world and which process occurs on the sun.
Please helpp
Nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is most in employed nuclear power plants around the world whereas fusion occurs on the sun.
What are nuclear fission and fusion reactions?
Nuclear fission is a reaction in which the nucleus of large atoms are split into nuclei of two or more smaller atoms.
Nuclear fusion is a reaction in which nuclei of two or more smaller atoms are combined to give an atom of larger nucleus.
Large amounts of energy are involved in both reactions.
The Sun produces energy by nuclear fusion.
However, the most commonly employed method in nuclear power plants is nuclear fission because the necessary conditions required for nuclear fusion have not being developed currently.
Therefore, nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is most in employed nuclear power plants around the world whereas fusion occurs on the sun.
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2. Infer how hydrostatic equilibrium in a star is determined by mass-
Answer:
Greater gravity compresses the gas, making it denser and hotter, so the outward pressure increases. In any given layer of a star, there is a balance between the thermal pressure (outward) and the weight of the material above pressing downward (inward). This balance is called hydrostatic equilibrium.
Question 1 of 10
During an experiment, you take a measurement of 18.3 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.
Answer:
[tex]46.482 cm[/tex]
Explanation:
[tex]Since 1 in = 2.54cm\\\\18.3 inches =(18.3 x 2.54) cm\\ =46.482cm[/tex]
The diagram shows two sets of vectors that result in a
single vector.
50 m
200 m
100 m
R
250 m
What are the first two steps for finding the magnitude
of the resultant vector?
find the square of the first horizontal vector and the
square root of the first vertical vector
find the square root of the first horizontal vector and
the square root of the second horizontal vector
find the sum of the two horizontal vectors and the
sum of the two vertical vectors
find the difference between the two horizontal
vectors and the difference between the two vertical
vectors
The first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.
Resultant of two vectorsThe resultant of two vectors is determined from Pythagoras theorem is as shown below.
R² = a² + b²
First two steps of finding a resultant vectorsfind the sum of the two horizontal vectors and the sum of the two vertical vectors.Thus, the first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.
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A woman raises window blinds by
pulling down on the cord. How is
this changing the amount of work
done on the blinds?
A. The work is harder by changing the amount of
force applied.
B. The work is harder by changing the direction
of the force.
C. The work is easier by changing the direction
of the force.
D. The work is easier by increasing the time the
force is applied.
The raising of window blinds is changing the amount of work done because work is easier by changing the direction of the force.
What is work done?Work done refers to the product of component of a force in the direction of distance and the magnitude of this distance.
According to this question, a woman raises window blinds by pulling down on the cord.
The work done on the blind is made easier because load is relieved by changing the direction of the force.
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According to ohm’s law, resistance is equal to voltage divided by.
Answer:
current
Explanation:
According to ohm’s law, resistance is equal to voltage divided by current.
Answer:
According to ohm’s law, resistance is equal to voltage divided by current.
Explanation:
R = resistance
V = voltage
I = current
R = V/I
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a metallic surface is illuminated with light of wavelength 400 nm. if the work function for this metal is 2.4 eV. what is the maximum kinetic energy of the ejected electrons, in electron volts?
Assume that
1 eV = 1.6 * 10^-19
c = 3 * 10^8
h = 6.626 * 10^-34
I already got the answer before and I know that the max kinetic energy is 0.71 eV but when I tried to solve it again, I forgot what to do.
I tried getting the cut off wave lengths and using that combined with the wavelength provided to get the K.E max but it didn't work
The maximum kinetic energy of the ejected electrons will be 0.71 eV.
What is the kinetic energy of electrons?The kinetic energy (KE) of electrons is defined as the product of one-half of the mass of the electron to the square of the velocity at which electrons spin in orbit.
Given data;
λ(Wavelength)= 400 × 10⁻⁹ m
Φ(Work function)=2.4 eV
c(Speed of light)= 3 ×10⁸ m/sec
h(Constant) = 6.626 * 10^-34
[tex]\rm \phi = 2.4 eV = 2.4 \times 1.6 \times 10^{-19} \\\\ \rm \phi =3.84 \times 10^{-19} \ J[/tex]
The maximum kinetic energy is found as;
[tex]\rm KE= \frac{hc}{\lambda} - \phi \\\\ KE= \frac{6.64 \times 10^{-34}}{400 \times 10^{-9}} -3.84 \times 10^{-19} \\\\ KE=1.14\times 10^{-19} \ J[/tex]
Unit conversion:
1 eV = 1.6 * 10⁻¹⁹ j
1 J=1/( 1.6 * 10⁻¹⁹) ev
KE=0.71 eV
Hence, the maximum kinetic energy of the ejected electrons will be 0.71 eV.
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At what height from the surface of the earth does the value of acceleration due to gravity be 2.45 m/s square where the radius of the earth is 6400 km
Answer:
Explanation: RADIUS OF EARTH = 6400X1000m =
ACC DUE GRAVITY ABOVE SURFACE OF EARTH = g' =2.45 m/s^2
ACC DUE GRAVITY ON SURFACE OF EARTH =g= 9.8 m/s^2
A/C TO FORmULA
g'/g=1-2h/Re
g'/g +2h/Re = 1
2h/Re =1- g'/g
2h= (1- g'/g)Re
2h=(1-2.45 /9.8)
6400X1000
2h = (0.75)6400X1000
2h = 4800000
h= 2400000
m
Q 29.1 a sheet of copper is placed between the poles of an electromagnet with the magnetic field perpendicular to the sheet. when the sheet is pulled out, a considerable force is required, and the force required increases with speed. explain. is a force required also when the sheet is inserted between the poles? explain.
(a) The force required to remove the sheet increases with increase in speed due to change in magnetic flux.
(b) The area in the magnetic field changes as the sheet is being put in between the poles. Thus, a force would be required to put the sheets.
Change in magnetic flux
When the sheet is pulled out, from the electromagnet there is change in magnetic flux given as follows;
Ф = BA
where;
B is magnetic fieldA is areaemf = dФ/dt
F = qVB
Thus, the force required to remove the sheet increases with increase in speed due to change in magnetic flux.
Also, the area in the magnetic field changes as the sheet is being put in between the poles. Thus, a force would be required to put the sheets.
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Sheila weighs 60 kg and is riding a bike. Her momentum on the bike is 340 kg • m/s. The bike hits a rock, which stops it completely and throws Sheila forward onto the pavement.
If there is no net force on the system, what is Sheila’s velocity immediately after she is thrown from the bike?
1.8 m/s
2.0 m/s
5.0 m/s
5.7 m/s
From the calculation, Sheila’s velocity immediately after she is thrown from the bike is 5.7 m/s.
What is momentum?Momentum is the product of mass and velocity. We know that the momentum before collision is equal to the momentum after collision.
Hence;
Momentum before collision = 340 kg • m/s.
Momentum after collision = 60v
Thus;
340 kg • m/s = 60v kg • m/s
v = 340 kg • m/s/60 Kg
v = 5.7 m/s
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a heavenly body has a mass equal to half of the mass of the earth and its radius half as that of the earth . if a stone weight 100N on the surface of the earth , find the weight of the stone on the heavenly body.
The stone on the celestial body will be 50 N in weight. When the mass of a celestial body equals half of the mass of the earth.
What is the difference between mass and weight?The mass of the body is defined as the amount of matter a body has. It is denoted by m and its unit is kg.
Weight is defined as the amount of force an object exerts on the surface. It is given as the product of mass and the gravitational pull.
Given data:
[tex]\rm m_h = \frac{1}{2} m_E[/tex]
[tex]\rm r_h=\frac{1}{2} r_E[/tex]
[tex]\rm W_E = 100 \ N[/tex]
The weight of the body on earth is found as;
[tex]\rm W_E = m_Eg[/tex]
Substitute all the values:
[tex]\rm W_E = m_Eg \\\\\ 100 \ N = 2 m_hg \\\\ m_hg =50 \ N \\\\ W_h = 50 \ N[/tex]
Hence, the weight of the stone on the heavenly body will be 50 N.
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ditto sound waves espace room answers please I need this urgently
The actual question should be did the sound waves escape room?
Yes they can escape the room
Sound always needs a medium to travel throughIf you close the room form all where that even air can't go outside you will be able to hear no sound coming from room .Under water, Zachary can hear waves that travel with frequencies up to 15,000 Hz. What is the velocity of sound in water if a wave with this frequency has a wavelength of 1.2 m?
Answer:
18 000 m/ s
Explanation:
speed = wavelength * frequency
speed = 1.2 * 15 000 = 18 000 m/s
how much heat is given off when 210.0g of water at 0 degrees freezes into ice?
In the freezing physical change, when 210.0 g of water a 0 degrees freezes into ice, it gives off 71.0 kJ of heat.
What is freezing?It is a physical change in which liquids give off heat to form solids.
We have 210.0 g of water at 0°C. We can calculate the amount of heat given off when it freezes into ice using the following expression.
Q = ΔH°fus × m
Q = 0.334 kJ/g × 210.0 g = 70.1 kJ
where,
Q is the heat released.ΔH°fus is the latent heat of fusion.m is the mass.In the freezing physical change, when 210.0 g of water a 0 degrees freezes into ice, it gives off 71.0 kJ of heat.
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Which type of rays have a wavelength shorter than that of visible light?
A.
microwaves
B.
infrared rays
C.
gamma rays
D.
radio waves
Answer:
c
Explanation:
wavelength shorter means energy is higher
the wavelength
radio waves>microwave>infrared rays>gamma rays