When a small force is applied to a gyro, the result will instead occur 90 degrees ahead of that point, in the direction of rotation. this principle is known as: Precession
What is precession?Precession is a shift in the direction of a rotating body's rotational axis. It can be described as a modification of the first Euler angle in the proper reference frame, while the rotation itself is defined by the third Euler angle. In other terms, a body is said to be precessing about a second axis if its own axis of rotation is spinning about that second axis. Nutation is a motion in which the second Euler angle varies. Precession can be either torque-free or torque-induced in physics.
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→e pointing up and the magnetic field →b pointing west. what is the direction of wave propagation?
When the magnetic field is heading west and the electric field is pointing up, the wave propagation will be in the north.
How do we find out the direction of wave propagation?
Electromagnetic waves (EM-waves), as we are aware, are transverse. Electric and magnetic fields are both perpendicular to one another in EM waves (E⊥B).
Transverse waves are waves in which the propagation direction is opposite the direction of amplitude. for instance, gravitational waves, light waves, and water waves.
In this instance, the magnetic field is heading west while the electric current is pointing up towards the screen's layout.
∴ E x B = κ
where E= the direction of the electric field,
B = the direction of the magnetic field,
κ = at a particular point, the direction of propagation
The aforementioned equation is right-handed. When we put our finger towards ourselves (away from the screen) and curl it to the west, and the thumb will indicate the wave propagation direction ( north side ).
The propagation of waves in our instance is in the north direction.
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Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat q for the aluminum cup is 141 J.
What is Specific heat?A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.
change in heat -
The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.
The answer's sign dig is determined by a calculation's lowest sign digits.
The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).
31.91 g * 0.903 J/g-C * (26.1 - 21.2 C) = 141 J
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How could a man be severely injured beig hut by some tomatoes?
Answer:
he can fall down
Explanation:
he could fall down because of the tomatoes and do notice he has fallen down because of them
Question 1 of 28
Which sentence is generally true of red stars?
OA. They are the oldest stars.
OB. They are the hottest stars.
OC. They are the youngest stars.
D. They are the coldest stars.
Answer: D. They are the coldest stars.
Explanation:
what is the definition of laws of conservation
Answer:
conservation law, also called law of conservation, in physics, a principle that states that a certain physical property (i.e., a measurable quantity) does not change in the course of time within an isolated physical system.
Explanation:
The definition of a conservation law in physics asserts that a certain observable attribute of an isolated physical system doesn't change over time.
A mass m is attached to an ideal massless spring with spring constant k. In experiment 1 the mass oscillates with amplitude a, and period t. A student grabs the mass and brings it to rest before starting experiment 2. In experiment 2, the mass is set to oscillate with a larger amplitude of 3a. What is the period of the oscillation in experiment 2?.
Time period remains the same in both the experiment as change in amplitude does not affect time period.
What are the factors on which time period depends in SHM?Time period is given by:
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
where,
T = time period
m = mass
k = spring constant
From the given formula, we find that the time period is only dependent on mass of the object and spring constant in a simple harmonic motion (SHM). If there is any change in mass of the object or the spring constant, the time period will change accordingly.
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Transformers: an ideal step-up transformer doubles a primary voltage of 110 v. what is the ratio of the number of turns in its primary coil to the number of turns in the secondary coil?
The ratio of the number of turns in the primary and the secondary coil of a step-up transformer is 1 : 200.
The formula for calculating the secondary voltage in a transformer is: N = V = Where No and N are the primary and secondary coils' respective turn counts; V and V are the RMS voltages across the primary and secondary coils, and I and Is are the primary and secondary currents.
Calculation: Due to this:
The coil's N2 to Ns turn ratio is 1/20.
We understand that N=1/20 = 4/LP: Is = 20:1.
The transformer uses the following principles: A wire's magnetic field moves as a result of a changing current flowing through it. A wire exposed to a moving magnetic field will create a changing current.One of the coils produces a magnetic field that grows and contracts in response to the changing voltage of the AC when an AC source is connected to it.
In other words, the coil generates a growing magnetic field as the voltage across it rises. The magnetic field generated around the capacitor increases when the voltage reaches its maximum and starts to decline.
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On a frictionless, horizontal air track. the glider has a head-on collision with a 0. 300-kg glider that is moving to the left with a speed of 2. 20 m>s. Find the final velocity?
The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
Given data,
Mass of glider A (M[tex]_{1}[/tex]) = 0.15 kg
Mass of glider B (M[tex]_{2}[/tex]) = 0.3 kg
Initial velocity of A (u[tex]_{1}[/tex]) = 0.80ms-1
Initial velocity of B ( u[tex]_{2}[/tex]) = -2.2m/s
Momentum and kinetic energy are conserved in elastic collision . So,
M[tex]_{1}[/tex]u[tex]_{1}[/tex]+M[tex]_{2}[/tex]u[tex]_{2}[/tex] = M[tex]_{1}[/tex]v[tex]_{1}[/tex]+M[tex]_{2}[/tex]v[tex]_{2}[/tex]
0.15×0.8+0.3x(-2.2) = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]
-0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]
Again if,
u[tex]_{1}[/tex]+v[tex]_{1}[/tex] =u[tex]_{2}[/tex]+v[tex]_{2}[/tex]
0.8 +v[tex]_{1}[/tex] =-2.2+v[tex]_{2}[/tex]
v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3
Solving for -0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex] and v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3 , we get
v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
Therefore,The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
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Four point charges, each of charge 2. 5 x 10-5 c, are located on the x- and y-axes, one at each of the locations (0, 2. 0 m), (0, -2. 0 m), (2. 0 m, 0), and (-2. 0 m, 0). the potential at the origin is__________.
The Potential at the origin due to the four point charges located at (0, 2), (0, -2), (2 , 0), and (-2 , 0) will be - [tex]45\times10^{4}[/tex] volts.
We have four point charges, each of charge [tex]2.5\times10^{-5}[/tex] C, are located on the x - axis and y - axis, one at each of the locations (0, 2), (0, -2), (2 , 0), and (-2 , 0).
We have to calculate the potential at the origin O(0,0).
What is the formula to calculate the Electric potential at a point ' r ' meters away from a point charge ' q ' ?The Electric field potential due to point charge ' q ' at a distance ' r ' meters apart is -
[tex]V(r) = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}[/tex]
Now, in the question given to us -
q = [tex]2.5\times10^{-5}[/tex]
Let us label the four points as - A (0, 2), B (0, -2), C (2 , 0), and D (-2 , 0).
Now, the potential due to charge located at point A will be -
[tex]V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = 9\times10^{9}\times\frac{2.5\times10^{-5} }{2} \\V_{A} = 11.25\times10^{4}[/tex]
Now, the distance of the center from each point will be same = 2 m.
Hence, the potential due to each charge at the origin will be -
[tex]V_{A} =V_{B} =V_{C} =V_{D} = 11.25\times10^{4}[/tex]
Since, the potential is a scalar quantity, we can add the potential due to each charge using simple addition -
[tex]V_{A} +V_{B} +V_{C} +V_{D} = 4\times11.25\times= 45\times10^{4}[/tex] Volts
Hence, the potential at the center will be - [tex]45\times10^{4}[/tex] volts.
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What is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth? (the gravitational constant g = 6.67 x 10-11 m3/kg*s2)
343 N is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth .
Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
According to Newton's universal law of gravitation, The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
According to newtons second law
Force = mass * acceleration
since , we need to find gravitational force so, acceleration will be equal to acceleration due to gravity on earth.
Force = mg
= 35 * 9.8
= 343 N
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Due to interference with reflections off the water, certain wavelengths will be weak when they reach the balloon. What is the maximum wavelength λ that will interfere destructively?.
The maximum wavelength that will interfere destructively is [tex]$\lambda=\frac{2 h x}{d}$[/tex]
The maximum wavelength that will interfere constructively is [tex]$\lambda=\frac{4 h x}{d}$[/tex]
What is Wavelength?Wavelength is the distance between equivalent points (adjacent crests) in the adjacent cycles of a waveform signal reproduced in space or along a wire. In wireless methods, this length is usually established in meters (m), centimeters (cm), or millimeters (mm).Wavelength (λ) - The wavelength of light is represented as the distance between the crests or channels of a wave motion. 2. Frequency (f) - Commonness is the number of occurrences of a repeating occurrence per unit of time. In the case of light, commonness refers to the numeral of times a wavelength is repeated per moment.wavelength: The length between one peak and the next in a sequence of waves, or the distance between one channel and the next. It's also one of the “yardsticks” used to calculate radiation.To learn more about Wavelength, refer to:
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Newton's Third Law of Motion relates to action and reaction. Which of the following scenarios accurately names the correct action and reaction pair to apply to Newton's Third Law?
What are the similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity)?
Similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity) is that Electric fields are produced by two kinds of charges, positive and negative similarly Magnetic fields are associated with two magnetic poles
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
Electric fields are produced by two kinds of charges, positive and negative. Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges).
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An extraterrestrial astronomer surveying our solar system with the doppler method could discover the existence of jupiter with just a few days of observation. True or false?.
False; finding it would require much more than a few days of observation.
What is the Doppler method?The Doppler approach is a reliable way to find exoplanets. It examines the velocity and characteristics of the star and planet using the Doppler effect. The star and the planet both revolve around the same mass.
What is measured by the Doppler technique?The periodic velocity change of the stellar spectrum brought on by an orbiting massive planet is discovered using Doppler spectroscopy.
How does the Doppler technique function?Doppler spectroscopy tracks changes in the host star's light's hue to find periodic shifts in radial velocity. A star's spectrum is redshifted when it moves away from us and blueshifted when it moves toward us.
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0.7-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 to find out the heat capacity of a material?
[tex]\huge\underline{\underline{\boxed{\mathbb {EXPLANATION}}}}[/tex]
The heat capacity is given by the expression:
[tex]\longrightarrow \sf{\triangle Q= m \triangle C \triangle T}[/tex]
[tex]\longrightarrow \sf{Q= \: Heat}[/tex]
[tex]\longrightarrow \sf{M= \: Mass}[/tex]
[tex]\longrightarrow \sf{C= \: Specific \: Heat}[/tex]
[tex]\longrightarrow \sf{T= \: Temperature}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex] \leadsto[/tex] When the [tex] \bm{heat}[/tex] is measured in the calorimeter, we obtain a value, and since we know the mass of the material and we control the change in [tex] \bm{temperature}[/tex] , we can then determine the specific heat "C" by simply remplazing in the expression.
The heat capacity of a material is its ability to absorb heat energy. There are different methods to determine the heat capacity of a material, depending on the specific conditions and resources available. Here are some common approaches:
Differential Scanning Calorimetry (DSC): DSC is a technique used to measure heat flow into or out of a material as a function of temperature. By subjecting the material to controlled heating or cooling, the heat capacity can be determined from the measured heat flow data.Specific Heat Capacity Measurement: The specific heat capacity of a material is the amount of heat energy required to raise the temperature of a unit mass of the material by one degree Celsius (or Kelvin). This can be determined through calorimetry experiments, where the material is heated or cooled while its temperature changes and heat transfer amount are measured. The specific heat capacity can then be calculated using the equation: Q = mcΔT, where Q is the heat energy transferred, m is the mass of the material, c is the specific heat capacity, and ΔT is the temperature change.Tabulated Data: The heat capacity of some commonly used materials is available in reference books, handbooks, or online databases. These values are often given as average or estimated values based on previous measurements. By referencing such data, you can obtain an approximate heat capacity value for a specific material.Statistical Data: The heat capacity of some commonly used materials is available in reference books, handbooks, or online databases. These values are often given as averages or estimates based on previous measurements. By referencing such data, you can obtain an approximate heat capacity value for a specific material.It's imperative to note that heat capacity can vary with temperature, pressure, and other factors. Therefore, measurements or data should ideally be conducted or referenced within the appropriate range of conditions relevant to the specific application or analysis.
For most people in most environments, the reaction range for iq is about 25 points. this means that:_______
For most people in most environments, the reaction range for IQ is about 25 points, this means that: the environment is the primary determinant of mental health.
Reaction range :
Reaction range refers to limits set on IQ by heredity. Environment determines where IQ will lie within these limits. There is a discrepancy in IQ scores between whites and some minority groups. There are both hereditary and environmental explanations for this discrepancy.
What is the range of reaction principle?
Range of reaction asserts that our genes set the boundaries within which we can operate, and our environment interacts with the genes to determine where in that range we will fall.
Personality or intelligence quotient (IQ) :
Is shaped by genes as well as by an individual's upbringing and surrounding environment. However, in recent time many scientists and researchers have succeeded to identify certain personality characteristics or attributes to some specific genes.
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HELP PLS I WILL MARK U BRAINLIEST!!
Answer:
D
Explanation:
I would say much too small as there is a significant portion of the plant that is UNDER water.....
( Really depends on how deep the water is...if it is shallow water it would be just a little too small)
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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A wavelength of 489. 2 nm is observed in a hydrogen spectrum for a transition that ends in the nf level of the balmer series. what was ni for the initial level of the electron?
The distance between identical points in adjacent cycles of a waveform signal is called wavelength. The n₁ for the initial level of the electron is 4.
What is Wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or down a wire is defined as the wavelength.
Given the wavelength is 489.2 nm, also, it is stated that the nf level is Balmer series. Therefore,
nf level = 2
The wavelength, λ = 489.2 nm = 4.86× 10⁻⁷ meter
Now, the mathematical formula for wavelength is given as,
[tex]\dfrac{1}{\lambda} = R[\dfrac{1}{nf^2}-\dfrac{1}{n_1^2}][/tex]
where R is the Rydberg constant and its value is equal to 1.097×10⁷.
Therefore, we can write,
[tex]\dfrac{1}{4.86 \times 10^{-7}} = 1.097 \times 10^7 [\dfrac{1}{2^2} - \dfrac{1}{n_1^2}][/tex]
n₁ = 4.0021 ≈ 4
Hence, the n₁ for the initial level of the electron is 4.
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Find the magnitude of this
vector:
Answer: = 25. 5 m
Explanation:
2-D vectors can be solved using the Pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]The hypotenuse, or longest side is not given and that is what must be solved forDirection can be omitted as the question only asks for magnitudeMagnitude: is the distance or quantity in which an object moves during motionSolve for C using Pythagorean theorem:
1. [tex]\sqrt{a^{2}+b^{2} }=c[/tex]
2. [tex]\sqrt{22.2 m ^{2} +12.6m^{2} } =c[/tex]
3. [tex]25.52646 m= c[/tex]
round to lowest number of significant digits when dividing and multiplyingrounded to 3 significant digits∴ Magnitude of the vector is 25.5 m
(Repost again because i rly need the answer) Physics question HELP asap
The cannonball will travel 311.8 m horizontally. Among the given options, 310 m is the correct answer.
What is a Projectile ?
A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²T = ?R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 312 m approximately horizontally.
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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
An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.
The wavelength of radiowaves is 3.042 m.
What is radiowaves?The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below.
Frequency given, f = 98.6 MHz = 98.6 x [tex]10^{6}[/tex] cycles/second
Electromagnetic waves including radiowaves also travel at the speed of light.
Therefore, c = 3.0 x [tex]10^{8}[/tex] m/sec
Wavelength = speed/frequency
wavelength of 98.6 MHz = 3.0 x [tex]10^{8}[/tex]/98.6 x [tex]10^{6}[/tex] meters
=3.042 meters
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According to the indiana driver’s manual, a passenger car traveling at 55 mph will take approximately _________ to brake to a complete stop.
A passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
What is the braking distance?Indiana is one of the states that compose the United States of America. We know that in the United States, the laws are different depending on the state in which a person resides and so does the the traffic laws and the driver's manual.
Generally, a driver ought to apply the brake a good distance away from the obstacle depending on the speed of the driver. We know that a higher speed immediately implies that the driver must start braking early enough.
Hence, according to the Indiana driver’s manual, a passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
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please hurry write the symbol that completes the following nuclear equation
88 ^ 21 Rn : 2 He+?
15 ^ 29P +1 ^ 0 e+ ?
The symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄What is an alpha decay?An alpha decay can be defined as a type of radioactive decay in which the atomic nucleus of a radioactive element emits an alpha particle, thereby, producing chemical elements with a different atomic nucleus.
During an alpha decay, the radioactive element has a mass number that is decreased by four (4) and an atomic number that is decreased by two (2), which is typically an atom of Helium (⁴He₂).
What is a beta particle?A beta particle can be defined as an isotope which typically undergoes radioactive decay through the emission of a radiation with a -1 charge. This ultimately implies that, an atom of neutron becomes a proton and an electron (₀e⁻¹) and an atom of proton also becomes a neutron and a positron (⁰⁻e₁⁺) during beta decay.
In conclusion, the symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄Read more on alpha decay here: https://brainly.com/question/23303931
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A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. What strength of magnetic field will it have at its center?
A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. The strength of magnetic field at its center will be 2.5 * [tex]10^{-2}[/tex] H
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts.
A coil of wire which is designed to generate a strong magnetic field within the coil is called a solenoid. Wrapping the same wire many times around a cylinder creates a strong magnetic field when an electric current is passed through it. N denotes the number of turns the solenoid has.
Magnetic field at the center of the solenoid = mu0 * I * N / L
I = current in the solenoid
N = number of turns in the solenoid
L = length of the coil
B = 4π * [tex]10^{-7}[/tex] * 4 * 500 / 0.10
= 251200 * [tex]10^{-7}[/tex] H
= 2.5 * [tex]10^{-2}[/tex] H
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A solid sphere of radius r rotates about a diameter with an angular speed w. the sphere then collapses under the action of internal forces to a final radius r/2. what is the final angular speed of the sphere
The final angular speed of the sphere is 4ω.
Calculation:Angular momentum will remain conserved.
What is conservation of angular momentum?A spinning system's ability to conserve angular momentum ensures that its spin will not change until it is subjected to an external torque; in other words, the rotation's speed will not change as long as the net torque is zero.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5} MR^{2}[/tex]
For the question,
L₁ = L₂
I₁ω₁ = I₂ω₂
Given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
Substituting the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, the final angular speed of the sphere is 4ω.
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4ω is the final angular speed of the sphere.
When a solid sphere of radius r rotates about a diameter with an angular speed w, the sphere then collapses under the action of internal forces to a final radius r/2, 4ω is the final angular speed of the sphere.
Angular momentum will remain conserved.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5}[/tex][tex]MR^{2}[/tex]
For the given problem,
L₁ = L₂
I₁ω₁ = I₂ω₂
We are given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
On substitution of the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, we can conclude that the final angular speed of the sphere is 4ω.
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If fuel consumption is 80 pounds per hour and groundspeed is 180 knots, how much fuel is required for an airplane to travel 477 nm?
Answer:
212 pounds
Explanation:
477 nm / 180 nm/hr * 80 #/hr = 212 #
Consider these observations:
The electromagnetic waves from the sun heat up Earth’s surface and atmosphere.
Sound waves from an outdoor music concert can be heard at a distance from the concert venue.
Shear waves generated by an earthquake dissipate energy at a boundary between a solid and a liquid but do not travel through the liquid.
Which of the following can be inferred, based on these observations, about energy transfer by waves as the wave travels through a medium?
A
All waves transfer energy no matter what medium they travel through.
B
All waves need a gaseous medium to travel through in order to transfer energy.
C
All waves transfer energy by the net movement of particles of the medium.
D
All waves transfer energy equally well through all types of media.
Energy is transferred by waves as the wave travels through a medium All waves transfer energy no matter what medium they travel through. the correct answer is option(a).
A wave is a disturbance that shifts energy rather than actual substance from one location to another. Energy is transferred by waves away from its source, or initial location.
Energy is transferred via electric and magnetic field vibrations in electromagnetic waves. Energy is conveyed in sound waves by the vibrating of air molecules or the particles of the substance that the sound is traveling through. The vibration of the water molecules occurs during the transmission of energy in water waves. The medium's particles only vibrate stationary. As they vibrate, they transfer the disturbance's energy to the particles nearby, which then transfer it to the particles nearby, and so forth. The wave does not truly move together with the medium's particles.
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