The first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.
Velocity of the wave
The velocity of the wave is calculated as follows;
v = √T/μ
where;
T is tensionμ is mass per unit length = 2 g/m = 0.002 kg/mv = √(50/0.002)
v = 158.1 m/s
First harmonic or fundamental frequency of the wavef₀ = v/λ
where;
λ is the wavelength = 2Lf₀ = v/2L
f₀ = 158.1/(2 x 0.6)
f₀ = 131.8 Hz
Second harmonic of the wavef₁ = 2f₀
f₁ = 2(131.8 Hz)
f₁ = 263.6 Hz
Third harmonic of the wavef₂ = 3f₀
f₂ = 3(131.8 Hz)
f₂ = 395.4 Hz
Thus, the first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.
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explain how potential and kinetic energy are at play when we talk about Newton's second law of motion
Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.
What is Newton's second law of motion?This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.
Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.
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This layer of the Earth is made of solid rock, it is hot and made of peridotite.
1. Continental crust
2. Kimberlite pipe
3. Oceanic crust
4. Mantle
the answer is the mantle.
An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.
The answer is heat radiates at a rate of 160w.
What is emissivity?
A substance's emissivity is a measure of how well it reflects heat radiation from its surface. Infrared radiation, which cannot be seen by human eyes, as well as visible radiation (light) are both examples of thermal radiation, which is electromagnetic radiation. The Stefan-Boltzmann law defines emissivity as the quantitative ratio of a surface's thermal radiation to that of an ideal black surface at the same temperature. The ratio is in the range between 0 and 1.
what is energy radiation?
The ability of a substance to reflect heat radiation from its surface is measured by its emissivity. The material's surface emissivity and the temperature difference between the chip surface and the surrounding air are two factors that affect power dissipation in the form of radiation.
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The electron in a ground-state h atom absorbs a photon of wavelength 97. 25 nm. to what energy level does the electron move?
The electron in a ground-state H atom absorbs a photon of wavelength 97. 25 nm. Energy level till where the electron move is 4
Rydberg's equation is formula which signifies relation of wavelength of incident photon and the energy level.
Rydberg's equation is used to find out the relation between the wavelength and the Energy Levels:
1/λ = RZ² (1/n₁² - 1/n₂²)
where, λ is wavelength = 97.25 nm
R is the Rydberg constant = 1.0967 × 10⁷ m
n₁ is the initial energy level i.e. the Ground state, n₁ = 1
n₂ is the higher energy level
On substitution of the above value:
1/97.25 × 10⁻⁹ = 1.0967 × 10⁷ ( 1 - 1/n₂²)
On solving,
⇒ n₂ = 4
Hence, the higher energy level is 4
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A charge of 2 c is at the origin. when charge q is placed at 2 m along the positive x axis, the electric field at 2 m along the negative x axis becomes zero. what is the value of q?
The value of Q will be -8 C.
In the presence of an electric or magnetic field, matter experiences a force due to its electric charge.
A moving electric charge generates a magnetic field, and an electric charge has an accompanying electric field.
The information provided in the issue is;
The separation between and is 2m.
The separation between and is 2m.
An origin charge equals +2 C
The electric fields are identical in magnitude but are facing in different directions. As a result, the following relationship can be used
Q/16=1/2
The value of Q will be -8 C.
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Th value of q is= -8C
How can we calculate the value of the q?Here, To calculate the value of q we use the formula,
The E-field due to a point charge = [tex]\frac{k\times Q}{D^{2} }[/tex]
Here we are given,
D= the distance along the axes.
k= The coulomb's constant.
We have to find, the charge along the axes = Q
Now, we have to substitute the known values in that equation for the cases,
For the E-field at x=-2 to equal 0, the E-fields from both charges must be equal in magnitude and opposite in direction.
For the first case, E from +2C charge = [tex]\frac{k\times Q}{D^{2} }[/tex] = [tex]\frac{k\times (+2C)}{2^{2} }[/tex]=[tex]\frac{k\times (+2C)}{4 }[/tex].
For the second case, E from Q charge= [tex]\frac{-k\times Q}{D^{2} }[/tex]=[tex]\frac{-k\times Q}{(2+2)^{2} }[/tex]=[tex]\frac{-k\times Q}{16 }[/tex].
Now, Comparing the two cases we can find that,
[tex]\frac{k\times (+2C)}{4 }=\frac{-k\times (Q)}{16}[/tex]
Or,[tex]\frac{+2C}{4}= \frac{-Q}{16}[/tex] (Eliminate k from both sides of the equation.)
Or,[tex]Q=-8C[/tex]
So, from the above calculation we can conclude that,
The value of q is -8C.
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Which pairs of subsets of the real number system have no common elements?
Answer:
Odd and even
Explanation:
Odd and even numbers have no common elements
a man uses a 900 watt electric iron to press his clothes for an average of 4 hours a week for five weeks if the cost of an electric energy is 3 Kobo per unit calculate the cost of electric energy for pressing
Answer:
[tex] \boxed{\sf54 \: kobo}[/tex]
Explanation:
Energy = Power × Time
Energy = 900× 4 ×5 = 18000 wh
Energy = 18000 wh = 18 kwh
Cost of 1 unit electricity = 3 kobo
cost of 18 unit electricity= 18 × 3 = 54 kobo
Answer:
54 Kobo
Explanation:
Units of electricity are measured in kilowatt hours (kWh).
Given information:
900 watt electric ironAppliance usage = 4 hours a week for 5 weeksUnit cost of electricity = 3 Kobo per kWhStep 1Convert the wattage of the electric iron from watts to kilowatts.
1000 watts (W) = 1 kilowatt (kW)
⇒ 900 watts = 1 ÷ 1000 = 0.9 kilowatts
This means that the power consumption of the electric iron is 0.9 kW per hour of use.
Step 2Total hours spent pressing clothes:
= 4 hours per week for 5 weeks
= 4 × 5
= 20 hours
Total power consumption:
= number of kW × number of hours
= 0.9 × 20
= 18 kWh
Step 3To find the total cost, multiply the total kWh by the cost per kWh:
⇒ Cost = 18 × 3 = 54 Kobo
If mass (M), Velocity (V) and length (L) are considered as fundamental quantities in certain system of unit. Find the dimensional formula for force.
Answer:
Explanation:
MLT^-2
.....
The sun's apparent yearly path across our sky against the background stars would not be described as?
The Sun's apparent yearly path across planet Earth's sky against the background stars wouldn't be described as the celestial equator.
What is a solar system?A solar system can be defined as a collection of the outer and inner planetary (astronomical) bodies alongside the Moon that are in orbit around the Sun, in slightly elliptical orbits.
The planets in the solar system.Basically, there are nine (9) planets in the solar system and these include;
MercuryVenusEarthMarsJupiterUranusNeptunePlutoSaturnBased on astronomical records and information, we can infer and logically deduce that the Sun's apparent yearly path across planet Earth's sky against the background stars wouldn't be described as the celestial equator.
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10 kg petrol has density of 800 kg/m³. Find its volume in cm³.
The answer is 12,500 cm³.
First, let's find the volume in m³.
Volume = Mass ÷ Density
Volume = 10 kg ÷ 800 kg/m³Volume = 1.25 × 10⁻² m³Now, to convert from m³ to cm³ :
m³ × 10⁶ = cm³
1.25 × 10⁻² × 10⁶1.25 × 10⁴12,500 cm³0.7-kg of r-134a is expanded isentropically from 800 kpa and 50°c to 140 kpa. determine the total heat transfer and work production for this expansion.
There will be no heat transmission, and the system's work is 25.27 Kj.
The calculation for total heat transfer and work production:
Provided,
The mass of r-134a = 0.7 kg
Initial pressure of the system, P₁ = 800 kpa
Initial temperature of r-134a, T₁ = 50°C = 273+ 50 = 323 K
Final pressure of the system, P₂ = 140 kpa
From the superheated refrigerant r-134a
P₁ = 800 kpa & T₁ = 50°C
the internal energy, u₁ = 263.87 Kj/kg &
the entropy, s₁ = 0.9803 Kj/kg .K
There won't be any heat transmission because the process is isentropic.
So, Q = 0 KJ
Due to the isentropic nature of the operation, the ultimate entropy is determined by
s₂ = s₁ = 0.9803 Kj/kg .K
From the r-134a superheated refrigerant
at P₂ = 140 kpa & entropy s₂ = 0.9803 Kj/kg .K
the internal energy,u₂ = 227.77 K/kg
The work on the system is provided by
W = m x (u₂-u₁)
W = 0.7 x(227.77 - 263.87)
W = 0.7 x (-36.1)
W = -25.27 KJ
A negative number means the system is doing the task.
As a result, there won't be any heat transfer, and the system will only have used 25.27 KJ of energy.
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How do the current and coltage readings compare to before the wires were switched. Explain how to interpret them physically?
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What is the length of the color attribute?
What is the longest material key can we have in our data warehouse?
The length of the colour attribute is 6 characters.
What is a colour attribute?Each colour has a distinct look based on three essential characteristics: hue, chroma (saturation), and value (lightness). It's critical to use all three of these properties when describing colour to appropriately identify it and distinguish it from others.
What is the use of colour attributes?The HTML <font> color Attribute specifies the text color within the font element. Values of Attributes: colour name: It uses the colour name to set the text colour.
It should be noticed that colours are represented by the hex triplet.
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A particle with a mass of 6. 67×10−27 kg has a de broglie wavelength of 7. 31 pm. part a what is the particle's speed?
The speed of the particle is 1.35 * [tex]10^{4}[/tex] m /s
The de Broglie equations relate the wavelength λ to the momentum p, and frequency f to the total energy E of a particle: where h is Planck's constant.
The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
λ = h / p
m= mass = 6.67∗[tex]10^{-27}[/tex] Kg
λ = 7.31 pm = 7.31 * [tex]10^{-12}[/tex] m (1 pm = [tex]10^{-12}[/tex] m)
h= Planck's constant = 6.62∗[tex]10^{-34}[/tex][tex]m^{2}[/tex]/Kg.s
v= velocity of particle = ?
λ = h / mv
v = h / mλ
= [6.62∗[tex]10^{-34}[/tex]] / [6.67∗[tex]10^{-27}[/tex]] [7.31 * [tex]10^{-12}[/tex]]
= 0.135 * [tex]10^{5}[/tex] m /s.
= 1.35 * [tex]10^{4}[/tex] m /s
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What would be the greatest effect of the finite size of molecules on the ideal gas law?
At high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
It is given that the molecules are in the ideal gas.
It is required to find the greatest effect of the finite size of molecules on the ideal gas law.
What would be the greatest effect of the finite size of molecules on the ideal gas law?According to ideal gas law, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
From ideal gas equation,
PV = nRT
Where,
P - Pressure of the molecules
V - Volume of the molecules
n - Total amount of substance
R - Gas constant
T - Temperature of the molecules
As shown from above equation, both the quantities are directly proportional to each other and also ideal gas law follows the kinetic molecular theory where it suggests that the volume of the molecules have negligible point.
Thus, at high density of the molecules tends to be greater pressure that of molecules and at low density of the molecules tends to be less pressure that of molecules.
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Which can store more energy: a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kv?
Out of a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kV , a 1. 0-μf capacitor rated at 250 v will have more capacitance than the other one .
A capacitor is a two-terminal electrical device that possesses the ability to store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.
Work has to be done to transfer charges onto a conductor, against the force of repulsion from the already existing charges on it. This work is stored as a potential energy of the electric field of the conductor.
Energy stored in a capacitor1 = 1/2 * C1 * [tex]V1^{2}[/tex]
= 1/2 * ( 1 * [tex]10^{-6}[/tex]) * 250
= 31250 * [tex]10^{-6}[/tex] J
Energy stored in a capacitor2 = 1/2 * C2 * [tex]V2^{2}[/tex]
= 1/2 * ( 470 * [tex]10^{-12}[/tex] ) * [tex](3000)^{2}[/tex]
= 2115 * [tex]10^{-6}[/tex] J
capacitor 1 can store more energy
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(a) Draw a Velocity - Time graph for an Object with Constant Acceleration.
(b) Draw a Velocity - Time graph for an Object with Constant velocity.
(c) In the given graph, compare the acceleration the body undergoes in region A and C.
Explanation:
answers to 1 and 2 above/below respectively but can't do 3 because I don't know what graph you're talking about
What is the speed of a transverse wave in a rope of length 3. 1 m and mass 86 g under a tension of 380 n?
117 m/sec is the speed of a transverse wave in a rope of length 3. 1 m and mass 86 g under a tension of 380 n.
The wave speed v is given by
v= √τ/μ
where τ is the tension in the rope and μ is the linear mass density of the rope.
The linear mass density is the mass per unit length of rope :
μ= m / L = (0.086 kg)/(3.1 m)=0.0277 kg/m.
v= [tex]\sqrt{ \frac{380 N}{0.0277 kg/m}}[/tex] = 117.125 m/sec (approx. 117 m/sec
In physics, a transverse wave is a wave whose oscillations are perpendicular to the direction of the wave's advance. This is in contrast to a longitudinal wave which travels in the direction of its oscillations. Water waves are an example of transverse wave.
Transverse waves commonly occur in elastic solids due to the shear stress generated; the oscillations in this case are the displacement of the solid particles away from their relaxed position, in directions perpendicular to the propagation of the wave. These displacements correspond to a local shear deformation of the material. Hence a transverse wave of this nature is called a shear wave. Since fluids cannot resist shear forces while at rest, propagation of transverse waves inside the bulk of fluids is not possible.
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give 5 real life examples of a tension
1.car towing
2.pulling bucket of water
3.gym equipment
4.crane machine
5.tug of war
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A concave mirror is also referred to as a converging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that is typically curved inward and away from the source of light.
Basically, one common use of a convex mirror include the following:
Shaving mirrorsSearchlightsDental mirrors.What is a convex mirror?A convex mirror is also referred to as a diverging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that typically bulges outward toward the source of light.
Basically, one common use of convex mirror is as rear-view mirrors in automobiles vehicles.
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A projectile is fired into the air at a 35o angle to the horizontal and an initial velocity of 120 m/s. what are the x and y components of the velocity vector?
Answer:
See below
Explanation:
X component = 120 * cos 35° = 98.298 m/s
Y component = 120 * sin 35° = 68.829 m/s
Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. The x and y components of the velocity vector are 98.298 m/s and 68.829 m/s.
When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.
The components of the projectile are:
X component = 120 × cos 35° = 98.298 m/s
Y component = 120 × sin 35° = 68.829 m/s
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A scientist is searching the moons of the solar system for signs of life. He knows that an atmosphere is one of the key features of a location that can
develop life as we know it. Where should he focus his search?
A. Titan
B. Ganymede
C. Luna (Earth's moon)
D. lo
I NEED HELP ASAP
A green filter...
Select one:
a. transmits all other colors except green light.
b. reflects only green light.
c. absorbs only green light.
d. transmits only green light.
Answer:
ig d. transmits only green light.....
An electric dipole consists of a particle with a charge of 6 x 10–6 c at the origin and a particle with a charge of –6 x 10–6 c on the x axis at x = 3 x 10–3 m. its dipole moment is:______.
An electric dipole consists of a particle with a charge of 6 x 10⁻⁶ c at the origin and a particle with a charge of –6 x 10⁻⁶ c on the x axis at x = 3 x 10⁻³ m. Its dipole moment is 18 x 10⁻⁹ Cm
Dipole moment of a dipole is dependent on the charge of the dipole and the distance between the two charges.
Electric Dipole consists of two charges which are equal and opposite in charge i.e. positive and negative charges.
Given,
Dipole moment, p = ?
Charge, q = 6 x 10⁻⁶C
Distance between charges, d = 3 x 10⁻³ m
Dipole moment (p) is given by:
p = charge x distance between the two charges
p = 6 x 10⁻⁶ x 3 x 10⁻³ Cm
p = 18 x 10⁻⁹ Cm
The dipole moment for the given charge configuration is 18 x 10⁻⁹ Cm
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Which of the following are possible units for a spring constant? O A. J/m B. N/km O.C. cm/N O D. J/N
The answer is B.
We use the spring constant in Hooke's Law, which is : F = -kx
It can be rearranged so it is equal to the constant :
k = F ÷ x
Common units of Force (F) : N, kg m/s²
Common units of displacement (x) : cm, m, km
The dimensionally correct unit from the given options is :
⇒ N/km
Suppose a bicyclist rides at a constant velocity of 4.4 m/s up a 10° slope. the total mass of bicycle and rider is 85 kg. neglecting air friction, what is his power output?
Power output will be = 637.7448 W
Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction.
Power Output means the average rate of electric energy delivery during one Metering
The upward force by which the bicycle is riding up will be equal and opposite to m*g*sin(10°) (using newtons third law)
Force (upward ) = m*g*sin(10°)
given
v = 4.4 m/s
mass (m) = 85 kg
F (upward ) = m*g*sin(10°)
ma = m*g*sin(10°)
a = g*sin(10°)
= 9.8 * sin(10°) = 1.7052 m / [tex]s^{2}[/tex]
Power = work / time = Force . displacement / time = mass * acceleration * velocity
= m * a * v
= 85 * 1.7052 * 4.4
= 637.7448 W
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If the electric potential at a point in space is zero, then the electric field at that point must be:_________
If the electric potential at a point in space is zero, then the electric field at that point must be zero.
To find the answer, we have to know about the electric field.
How the electric field will be zero, if the potential is zero?We have the relation connecting electric field E and the electric potential V as,[tex]E=\frac{V}{L}[/tex]
If we put V=0, then the electric field will be zero.Thus, we can conclude that, If the electric potential at a point in space is zero, then the electric field at that point must be zero.
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I have provided a picture of the question
Answer:
Explanation:
Formula
Electric Force formula
F = k * q1 * q2 / r^2
Gravitation Force Formula
F = G * m1 * m2 / r^2
Givens
k = 8.99 * 10^9 N m^2/C^2
N = newtons (units of force.m = metersc = coulombs (units of charge.G = 6.67 * 10^-11 N m^2 /kg^2
c_e = c_p = 1.6 * 19 Charge electron / Charge Protonm_e = 9.11 * 10^-31 Mass Electronm_p = 1.67 * 10^27 Mass ProtonSolutions
Fe = 8.99 * 10^9 * 1.6 * 10^-19 ^2/ 8.4 * 10^-11
The force = the electric force constant * the charge of the proton*charge electron/ distance apart in meters. It looks small but actually it is quite large in comparison to the Gravitational Force
Fe = 3.2 * 10^-8 (Answer First Box)
Fg = 6.67 * 10^- 11 * 9.11*10^-31 * 1.67*10^-27 / 8.4 * 10^-11
The gravitational Force is very small. Just look at the powers which come to 10^-68 - -22 = - 46 which is about 6 times smaller than the electric force.
Fg = 1.44 * 10^-47 (Answer Second Box)
Tyre pressure for car
Answer:
oxygen expanding unjhfyysue hjdbdhdjjhd
Answer:
32 psi to 35 psi.
Explanation:
Normal tire pressure is usually between 32~40 psi(pounds per square inch) when they are cold. So make sure you check your tire pressure after a long stay and usually, you can do it in the early morning.
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Answer:
The answer is (d) is totally reflected
Explanation:
Using the total internal reflection concept.
This concept state that:
"If the angle of incidence is greater than the critical angle then the light will not refract but it will reflect back totally"
Using the above statement, as incident angle is 42 degree and critical angle is 41 degree it means incident angle is greater than the critical angle. Therefore, light will not refract but it will totally reflected.