Breathing exercises , Self - hypnosis , Enough sleep and meditation practice can counteracts the relaxation pressures and promotes the steady blood pressure
Their are several techniques which counteracts the relaxation pressures and promotes the steady blood pressure , that are
1) Breathing exercises
For this , one can focus on taking slow, deep breaths which is also called diaphragmatic breathing
2) Self - hypnosis
In this , one can learn to produce the relaxation response when prompted by a phrase
3) Enough sleep and meditation practice
The less you sleep, the higher your blood pressure may go. People who sleep six hours or less may have steeper increases in blood pressure.
The relaxation response (from meditation) helps decrease metabolism, lowers blood pressure, and improves heart rate, breathing, and brain waves," Benson says. Tension and tightness seep from muscles as the body receives a quiet message to relax.
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According to the solar nebula theory,whyisthereacommon direction of revolution and rotation for most objects in the solar system?
According to the solar nebula theory, the common direction of revolution and rotation for most objects in the solar system is because most objects in the Solar System have a common direction of revolution and rotation because they formed from the same rotating gas cloud.
The nebular theory states that our solar system formed from the gravitational collapse of a giant interstellar gas cloud—the solar nebula.
In nebula hypotheses its been said that solar system formed at the same time as the Sun . The nebular hypothesis is the idea that a spinning cloud of dust made of mostly light elements, called a nebula, flattened into a protoplanetary disk, and became a solar system consisting of a star with orbiting planets
Laplace theorized that the Sun originally had an extended hot atmosphere throughout the Solar System, and that this protostar cloud cooled and contracted. As the cloud spun more rapidly, it threw off material that eventually condensed to form the planets.
Since , Most objects in the Solar System have a common direction of revolution and rotation because they formed from the same rotating gas cloud.
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What charge in microcoulombs needs to be plaaced at the orgin to create an electric force?
It follows coulombs law.
According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It acts along the line joining the two charges considered to be point charges.
In Short: F ∝ q1q2/d2
where,
ε is absolute permittivity,
K or εr is the relative permittivity or specific inductive capacity
ε0 is the permittivity of free space.
K or εr is also called a dielectric constant of the medium in which the two charges are placed.
One coulomb of charge is that charge which when placed at rest in vacuum at a distance of one metre from an equal and similar stationary charge repels it and is repelled by it with a force of 9 x 109 newton.
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When two vectors are added geometrically (by drawing them), how are they arranged?
Two vectors are added geometrically (by drawing them), they arranged in such a way that Tail of one touching the head of the other .
A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Triangle law of vector addition is used to find the sum of two vectors when the head of the first vector is joined to the tail of the second vector.
Magnitude of the resultant sum vector R: R = √([tex]P^{2}[/tex] + 2PQ cos θ + [tex]Q^{2}[/tex])
According to the Parallelogram law of vector addition: If two vectors are considered to be the adjacent sides of a parallelogram, then the resultant of the two vectors is given by the vector that is diagonal passing through the point of contact of two vectors. drawn from the same point.
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The 10-lb block has a speed of 4 ft/s when the force of f=(8t2)f=(8t2) lb is applied. determine the velocity of the block when t == 2 s. the coefficient of kinetic friction at the surface is μk=0. 2?
The velocity of the block when t == 2 s is 60.7 ft./sec.
Equations of Motion.
Here the friction is [tex]F_f = \mu_k N[/tex] = 0.2 N
[tex]+ \uparrow \sum F_y = ma_y; \quad N – 10 = \frac { 10 } { 32.2 }(0) \quad N = 10 lb \\ \begin{aligned} \underrightarrow{ + } \sum F_x = ma_x; \quad 8t^2 – 0.2(10 &) = \frac { 10 } { 32.2 }a \\ & a = 3.22(8t^2 – 2) ft/s^2 \end{aligned}[/tex]
Kinematics.
The velocity of the block as a function of t can be determined by
integrating dv = adt using the initial condition v = 4 ft./s at t = 0.
[tex]\int_{ 4 ft/s }^{ v } dv = \int_0^t 3.22(8t^2 – 2)dt \\ \begin{aligned} v – &4 = 3.22 (\frac 8 3 t^3 – 2t) \\ & v = \{8.5867t^3 – 6.44t + 4 \} ft/s \end{aligned}[/tex]
The displacement as a function of t can be determined by integrating
ds = vdt using
the initial condition s = 0 at t = 0
[tex]\int_0^s ds = \int_0^t (8.5867t^3 – 6.44t + 4)dt \\ s = \{2.1467t^4 – 3.22t^2 + 4t \} ft[/tex]
at t = 2 sec
s = 30 ft.
Thus, at s = 30 ft.,
[tex]\begin{aligned} v &= 8.5867(2.0089^3) – 6.44(2.0089) + 4 \\ &= 60.67 ft/s \\ &= 60.7 ft/s \end{aligned}[/tex]
Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.
Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system.
Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics, not kinematics. For further details, see analytical dynamics.
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Three resistors of 4. 0, 6. 0, and 10. 0 ω are connected in parallel. if the combination is connected in series with a 12. 0-v battery and a 2. 0-ω resistor, what is the current through the 10. 0-ω resistor
The current through the 10 Ω resistor is 0.586A which is connected with a resistor in series combination.
Voltage divides in a Series combination and current divides in a parallel combination.
Let the three resistors joined in parallel be R₁, R₂, R₃
where, R₁= 4 Ω
R₂ = 6 Ω
R₃ = 10 Ω
Given, a battery of 12V and a 2Ω resistor say r is series with the parallel combination.
Equivalent resistance(R) in parallel combination is:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/4 + 1/6 + 1/10
On solving, R = 1.9 Ω
Now, the Equivalent resistance(R) of parallel combination is in series with r = 2Ω
Let Equivalent resistance of Series combination be R'
R' = R + r
R' = 1.9 + 2 Ω
R' = 3.9 Ω
Now let's calculate the voltage drop in the resistor r = 2Ω
v = i × r where, i is the current in r and v is the voltage drop across r
v = 3.07 × 2
v = 6.14V
Voltage drop, V' across the Equivalent resistance(R) in parallel combination = Total voltage - voltage drop in the resistor r
V' = 12 - 6.14 V
V' = 5.86V
Now, the Voltage drop, V' across the Equivalent resistance(R) in parallel combination is same for all the three resistors R₁, R₂, R₃
So, Voltage is same in a parallel combination.
V' = I × R₃
5.86 = I × 10
I = 0.586A
Hence, The current through the 10 Ω resistor is 0.586A
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Let u = ⟨1, 5⟩, v = ⟨–3, 3⟩, and w = ⟨2, 3⟩. what is the direction angle of 4w – (2u v)?
The direction angle of 4w- (2u v) is equal to 353.7°.
Direction angle of a vectorA vector's direction angle is the angle formed by the positive x-axis and the vector v. The arctangent of the ratio between the vertical and horizontal components of the vector, v=ai+bj, can be used to determine the direction angle,, of the vector.
What is the formula for direction?Use the formula = arctan(y/x) to determine the direction of the vector v = (x, y), where is the smallest angle the vector makes with the horizontal axis and x and y are its component vectors.
Does an angle have a direction?The angle a vector creates with a horizontal line is used to determine the vector's direction. The formula:where x is the horizontal change and y is the vertical change, gives the direction angle of a vector.
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A standing wave is created in a microwave oven by reflecting microwaves from the walls of the oven. The cold spots, the nodes in the microwave standing wave, are found to be 6 cm apart. What is the frequency of the microwaves? [Ans: 2.5 * 109Hz]
The frequency of the wave is given as 2.5 * 10^9 Hz.
What is wavelength?The term wavelength is the distance that is covered by a wave. It is also referred to as the distance between two successive crests or two successive troughs. It can also be defined as half of the distance between two nodes.
Now nodes are the points in which there is no movement while antinodes are the points in which there is movement.
Given that;
c = λf
c = speed of light = 3 * 10^8 m/s
λ = 2(6cm) = 12 cm or 12 * 10^-2 m
f = ??
Thus;
f = c/ λ
f = 3 * 10^8 m/s/12 * 10^-2 m
f = 2.5 * 10^9 Hz
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A runner exerts 2,000 j of work while traveling 10 m along a horizontal stretch of track. what average force was exerted by the runner?
The average force exerted by the runner is 200N.
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
When a force is exerted across a distance to an item, work is accomplished. This implies that the total energy of an object will be impacted when a force is applied to it over a distance.
Work = Force x Distance
Force = work / distance
Force = 2000 J / 10 m
Force = 200 N
Hence, the average force exerted by the runner was 200N.
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Calculate the angular separation θ1 at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1. 5 centimeters.
The angular separation is [tex]4.88 * 10^{-5} rad[/tex]
What is angular distance formula?
The formula is θ=s/r, where, θ is Angular Displacement, s is the distance traveled by the body, and. r is the radius of the circle along which it is moving.
What is meant by angular resolution?
The angular resolving power (or resolution) of a telescope is the smallest angle between close objects that can be seen clearly to be separate. Resolution is limited by the wave nature of light.
The angular separation is calculated as given below.
θ = 1.220 λ/d
Where λ is the wavelength and d is the diameter of the lens aperture.
θ1 = [tex]1.220 * \frac{600 * 10^{-9} }{1.5 * 10^{-2} }[/tex]
= 4.88 × [tex]10^{-5}[/tex] rad
Therefore, The angular separation is 4.88 × [tex]10^{-5}[/tex] rad.
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Considering how the predictions compare to the observations, what does this imply about the mass distributed in the galaxy?
Answer:
The observations show a higher velocity than is predicted, mainly in the galaxy's outer regions, indicating that there is more mass in the exterior areas than we can see.
The observations show higher velocities than is predicted, mostly in the outer regions of the galaxy, indicating that there is more mass in the outer regions than we can see.
GalaxyA galaxy is a collection of gravitationally bound stars, stellar remains, interstellar gas, dust, and dark matter. The name comes from the Greek word galaxias, which means "milky" in reference to the Milky Way galaxy, which houses the Solar System. Galaxies range in size from dwarfs, which have fewer than 100 million stars, to supergiants, which have 100 trillion stars around their galaxy's center of mass. Galaxies, on average, contain an estimated 100 million stars.
A galaxy can be classified as elliptical, spiral, or irregular based on how it appears to the human eye. Supermassive black holes are considered to be present in the centers of several. Sagittarius A*, the name given to the center black hole of the Milky Way, has a mass that is four million times that of the Sun.
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A 1. 30 kg block slides with a speed of 0. 855 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 552 n/m. The block comes to rest after compressing the spring 4. 15 cm. Part a. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of 0 cm. Part b. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of 1. 00 cm. Part c. Find the spring potential energy, u , the kinetic energy of the block, k , and the total mechanical energy of the system, e , for compressions of.
a) U = 0 J
k = 0.383 J
E = 0.383 J
b) U = 0.0228 J
k = 0.155 J
E = 0.383 J
c) U = 0.1104 J
k = 0.272 J
E = 0.383 J
d) U = 0.248 J
k = 0.177 J
E = 0.383 J
Method for solving:The equations for kinetic energy is:
k= 1/2*m*[tex]v^{2}[/tex]
The equation for elastic potential energy is:
U= 1/2*ks*[tex]x^{2}[/tex]
Where,
m= mass of the block
v= velocity
ks= spring constant
x= displacement of the spring
(a)when compression= 0 cm
U= 1/2*ks*[tex]x^{2}[/tex]
U= 1/2*552*
= 0 J
Kinetic energy:
k= 1/2*m*[tex]v^{2}[/tex]
k= 1/2*(1.05)*
k= 0.383 J
Mechanical energy:
E= k + U
E= 0.383+0
E= 0.383 J
There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance). This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).(b) spring potential = ?
U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]
U= 0.0228 J
Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:
E= k + U
0.383= k + 0.0228
k= 0.383 - 0.228
k= 0.155
(c)spring constant when x= 0.02
U= 1/2*552*[tex](0.02)^{2}[/tex]
U= 0.1104 J
Using the equation of mechanical energy:
E= k +U
0.383= k+ 0.1104
k= 0.383 - 0.1104
k= 0.272 J
(d) U= 1/2*552*[tex](0.03)^{2}[/tex]
U= 0.2484 J
E= 0.383 J
k = E - U
k= 0.383- 0.206
k= 0.177
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Doug is doing work. without knowing exactly what he is doing, which can be said about the work he is doing?
Energy is transferred.
What is Work?Every time labour is performed, energy is transmitted, as shown by the definition of work in physics. Work is the result of the displacement's magnitude and the component of force acting in that direction.
What are 3 types of work done?
Positive Negative Zero work done.Work is the result of force and distance, or the force exerted over a specific distance. In other words, Work = Force x Distance.
Joules are used to measure work.
1. Positive Work: Positive work is when a force moves an object in that direction. The motion of a ball descending toward the earth while it is displaced in the direction of the force of gravity is an illustration of this type of labour.
2. Negative Work: The work is said to be negative if the force and the displacement are in the opposing directions. For instance, if a ball is thrown high, its displacement will also be upwards, while the force from the earth's gravity will be downward.
3. Zero Work: When the force and displacement directions are parallel to one another, there is no work done on the item by the force.
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Answer:Energy is transferred.
Explanation: Took the test and Passed
If the signal light changes from green to yellow as you enter the intersection, you should:_______
When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.
To find the answer, we have to study more about the importance of traffic signals.
What are the importance of yellow signal light in traffic?Recognize that you have the right-of-way when a yellow light is flashing. Reduce your speed as you get close to a flashing yellow light and keep an eye out for other cars that might not be paying attention to or respecting your right-of-way. You should safely stop your car at any intersection where there is a constant yellow light. When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.Thus, we can conclude that, When the light turns from green to yellow while you are already in the intersection, proceed through the intersection at a safe speed.
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A tiny sphere carrying a charge of 6. 5 µc sits in an electric field, at a point where the electric potential is 240 v. what is the sphere’s potential energy?
The sphere’s Electric potential energy is 1.6*[tex]10^{-6}[/tex]J
Given,
q=6. 5 µc, V=240 v,
We know that sphere’s Electric potential energy(E) = qV=6.5*[tex]10^{-6} *240[/tex]=1.6*[tex]10^{-6}[/tex]J
Electric potential energyThe configuration of a certain set of point charges within a given system is connected with the potential energy (measured in joules) known as electric potential energy, which is a product of conservative Coulomb forces. Two crucial factors—its inherent electric charge and its position in relation to other electrically charged objects—can determine whether an object has electric potential energy.
In systems with time-varying electric fields, the potential energy is referred to as "electric potential energy," but in systems with time-invariant electric fields, the potential energy is referred to as "electrostatic potential energy."
A tiny sphere carrying a charge of 6. 5 µc sits in an electric field, at a point where the electric potential is 240 v. what is the sphere’s potential energy?
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Class 11
Physics
Motion in a Plane
The unit vectors along the three co-ordinate axes are described as. i > j > k > 1. is D. i = j = k = 1
What is the unit vector along the vector?A vector that has a volume of 1 is a unit vector. It is also known as a direction vector because it is generally used to denote the direction of a vector. The vectors i, j, k, stand the unit vectors along the x-axis, y-axis, and z-axis respectively.
What is the unit vector along y-axis?
There are three essential unit vectors which are commonly employed and these are the vectors in the direction of the x, y and z-axes. The unit vector in the direction of the x-axis is i, the unit vector in the direction of the y-axis is j and the unit vector in the demand of the z-axis is k.
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Which has more total enthalpy 3kg of 20% of salt brine at 65 degrees Celsius or 5kg of 20% salt brine at 50 Degrees celsius, assuming 0 enthalpy at 0 degrees celsius? The specific heat capacity of 20% salt brine is 3.56kJ/kg*C
The 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy than the 5kg of 20% salt brine at 50 Degrees Celsius.
What is enthalpy?Enthalpy is defined as the total heat content of a system. The enthalpy is a measure of the total work which the system can do plus the internal energy of the system.
The enthalpy of the given solutions can be calculated as follows:
Enthalpy = mass * specific heat capacity * temperature change.For the 3kg of 20% of salt brine at 65 degrees;
mass of salt = 3 * 20% = 0.6 kg
specific heat capacity = 3.56kJ/kg*C
temperature change = 65°C
Enthalpy = 0.6 * 3.56 * 65
Enthalpy = 232 kJ
For the 5kg of 20% salt brine at 50 Degrees Celsius;
mass of salt = 5 * 20% = 1 kg
specific heat capacity = 3.56kJ/kg*C
temperature change = 50°C
Enthalpy = 1 * 3.56 * 50
Enthalpy = 178 kJ
Therefore, the 3kg of 20% of salt brine at 65 degrees Celsius has more enthalpy.
In conclusion, the enthalpy or heat content of the solutions depends on the mass and temperature change.
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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?.
The experiment's time period is unaffected by the change in amplitude in either experiment.
What are the variables that affect time in SHM?Time period is provided by:
[tex]T= 2\pi \sqrt{\frac{m}{k} }[/tex]
where,
T = time period
m = mass
k = spring constant
According to the formula, the only factors affecting the time period in a simple harmonic motion (SHM) are the object's mass and the spring constant . The time period will adjust in line with any adjustments made to the object's mass or spring constant.
What are some instances of simple harmonic motion?Pendulum oscillations are an illustration of simple harmonic motion. Take into consideration a spring that has a fixed end. It is in its equilibrium position if no force is applied to it. Now, if we pull it outwards, the string exerts a force that is pointed in the direction of the equilibrium position.
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I need help with these 2 physics questions ASAP thanks (Note, ignore problem 6 as I have solved it)
The final velocity of the ball is 20.8 m/s. Option C
What is the final speed?Now we have the equation;
v^2 = u^2 + 2gh
v = final velocity
u = initial velocity
a = acceleration
s = distance
v^2 = (11.4)^2 + (2 * 10 * 15.5)
v^2 = 129.96 + 310
v = √ 129.96 + 310
v = 20.8 m/s
b)
Given that;
R = u^2sin2θ/g
Where;
g = acceleration due to gravity
θ = acute angle
u = velocity
R = (60)^2 sin2(30)/10
R = 310 m
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As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity:____.
As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity: remains roughly constant.
A common unit of mass used in astronomy is the solar mass (M), which is around 2 1030 kg. It is frequently used to denote the masses of black holes, galaxies, stellar clusters, nebulae, and other objects. Its mass is comparable to that of the Sun.
A solar mass is the fundamental unit of mass used by astronomers. It makes more sense to talk about such cosmic objects in terms of solar masses rather than a much smaller measure, such as kilos, because the majority of things in space are enormous and heavy, such as stars, galaxies, and black holes.
When a moderately big star, ranging in size from 8 to 40 solar masses, runs out of hydrogen shells around the core heat up sufficiently to start fusion.n fuel, it evolves off the main sequence and switches to fusing helium in its core, resulting in the formation of a red supergiant. This causes the star's radius to increase, which lowers the star's temperature.
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Discuss the application of faraday's law to the existence (not the sign) of the induced voltage before you energize the primary coil
The application of faraday's law to the existence (not the sign) of the induced voltage before you energize the primary coil
The magnitude of the emf generated in a circuit is proportional to the rate of change with time t of the magnetic flux that cuts across the circuit emf, according to this relationship, also known as Faraday's law of induction (to distinguish it from his laws of electrolysis).
According to Faraday's law of induction, when a magnetic field changes, a voltage results. This difference in electric potential can induce electric currents to flow.
The first faraday's law states that the amount of chemical change caused by a current at an electrode-electrolyte interface is proportional to the amount of electricity used, while the second law states that different substances can undergo different amounts of chemical change when the same amount of electricity is applied to them.
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How does the value of gravitational
acceleration change when the distance
from the centre of the Earth increases?
Explanation:
according to my understanding, the value of gravitational acceleration changes because;different planets have different gravitational pull.
for example you may ask yourself why is it that the gravitational acceleration is not the same on earth and the moon.
this is because the gravitational force acting on an object on earth is greater than the gravitational force acting on an object and the Moon .
You know the moon is located in the space and one can fly, stand,dance etc.
all because the gravitational acceleration is low.
as for me when the distance from the centre of the Earth increases,
the gravitational acceleration decreases.
A good example is given by the moon.
The moon is miles away from the Earth and its gravitational acceleration is quite low .hope you got me.
A(n) ________ is one in which energy moves freely in and out, but no matter enters or leaves the system.
A(n) closed system is one in which energy moves freely in and out, but no matter enters or leaves the system.
You can have an open or closed system: A system that is totally cut off from its surroundings is referred to as a closed system. We have opted to adopt this definition because it is one that is frequently used in the system literature.
A closed system is one that only permits the transfer of energy within or outside the system but not the transport of matter. For instance, a beaker of evaporating water with a closed top permits the flow of energy to the environment but prevents the evaporation of (matter) water.
closed systems are also referred to as systems that don't allow anything other than energy to enter or exit. A closed water bottle functions as a closed system in this instance.
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A consequence of more mass having more inertia is that _____ is required to bring the helicopter to the same speed as the bullet.
Answer:
The answer to your question is more force
Explanation:
A consequence of more mass having more inertia is that more force is required to bring the helicopter to the same speed as the bullet
I hope this helps and have a good day!
In a naturally converging beam, the distance from the face of the transducer to the narrowest point of the beam is known as?
Answer:
focal length
Explanation:
This describes focal length of the beam
Sun has an eective temperature of about 5800 kelvins. What is the peak wavelength emitted by the sun?
By Wien's displacement law we can conclude that, the peak wavelength emitted by the sun for 5800K temperature is 499nm.
To find the answer, we have to know about Wien's distribution law.
How to find the maximum wavelength?The black-body radiation curve for various temperatures will peak at various wavelengths that are inversely proportional to the temperature, according to Wien's displacement law.It is given that, Sun has an active temperature of about 5800 kelvins.Thus, by Wien's distribution law, the maximus wavelength is,[tex]wavelength*T=2.898*10^{-3}mK\\wavelength=\frac{2.898*10^{-3}mK}{5800K}=499nm.[/tex]
Thus, by Wien's displacement law we can conclude that, the peak wavelength emitted by the sun for 5800K temperature is 499nm.
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16) The depth of pond is ....... if it seems to be 10m a) 10m b) 7.7m c) 13.3m d) 20m
The answer is d) 20 m.
The depth of pond is 20 m if it seems to be 10 m.
The formula relating real depth and app. depth :
[tex]\boxed {A = \frac{R}{n}}}[/tex]
In this case, refractive index has to be an whole number for real depth to give a whole number for app. depth.
Then, real depth must be a multiple of 10, but refractive index cannot be 1The option is 20 mWhat is the reactance of a 9. 0×10−2 μf capacitor connected to a 23 kv (rms), 550 hz line?
The Capacitive reactance of the capacitor is 3.22kΩ.
To find the answer, we have to study about the Capacitive reactance.
How to find the Capacitive reactance?It is given that,[tex]C=9*10^{-8}F\\f=550Hz\\[/tex]
Thus, the expression for capacitive reactance will be,[tex]X_c=\frac{1}{2\pi fC}[/tex]
By substituting values, we get,[tex]X_c=\frac{1}{2\pi *550*9*10^{-8}} \\\\X_c=3.22*10^3Ohm.[/tex]
Thus, we can conclude that, the Capacitive reactance of the capacitor is 3.22kΩ.
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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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The electric potential at the origin of an xy-coordinate system is 40 v. a -8.0-μc charge is brought from x = [infinity] to that point. what is the electric potential energy of this charge at the origin?
Electric potential energy of that charge at origin = 40 V
Electric potential, the amount of work needed to move a unit charge from a reference point to a specific point against an electric field.
The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space.
Potential energy at a point = change in electric potential to bring it from infinity to that point
Potential energy = Potential at that point - Potential at infinity
conventionally , potential at infinity is taken as zero
Potential energy = Potential at that point
hence , Potential energy of that charge at origin = Electric Potential at the origin
Potential energy of that charge at origin = 40 V
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If a violin string vibrates at 430 hz as its fundamental frequency, what are the frequencies of the first four harmonics?
If a violin string vibrates at 430 hz as its fundamental frequency,then the frequencies of the harmonics are 880, 1320, 1760
The frequency in physics is the number of waves passing a fixed location in a unit of time. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given unit of time.
How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.
Integer (whole-number) multiples of the fundamental frequency are used to define harmonics, which are voltages or currents that function at certain frequencies. This means that for a waveform with a fundamental frequency of 50 Hz, the second harmonic frequency would be 100 Hz (2 x 50 Hz), the third harmonic would be 150 Hz (3 x 50 Hz), etc.
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