Terms of dv and approximate the change in the surface when the volume change from 1,000 m3 to 999 m3 is 2.9 M2.
What is volume?Volume is a measure of the amount of three-dimensional space occupied by a solid, liquid, gas, or plasma. It is measured in cubic meters, liters, or milliliters. Volume is an important measurement when dealing with liquids and other substances since it determines the amount of material that can fit in a given container. Volume also has an effect on pressure and temperature, as the pressure and temperature of a substance increase when its volume decreases.
The change in the surface of a given volume can be found by taking the derivative of the volume in terms of the surface. The derivative of V (volume) with respect to S (surface) is S = 3√V. Therefore, the change in surface when the volume changes from 1000 m3 to 999 m3 is approximately 3√999 - 3√1000 = 2.9 m2.
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refer to the circuit below for the next four questions. the circuit below has an unknown impedance z. but we do know that the source delivers an apparent power of 50va with a power factor of 0.8 lagging. Find The Unknown Impedance Z. 6 Ω 20/0° V Z I8 Ω
The circuit has an unknown impedance z. But we do know that the source delivers an apparent power of 50va with a power factor of 0.8 lagging. The Unknown Impedance Z is 108 Ω 20/0°.
Formula of Impedance = Z= under root R2 + (Xl - Xc)2
Z = impedance
R = resistance
XL = inductive reactance
XC = capacitive reactance
After putting the values in formula we get 108 Ω 20/0°.
Impedance, which is produced in a circuit by the interaction of resistance and reactance, is the resistance to alternating current. The impedance of a two-terminal circuit element can be calculated as the ratio of the complex representation of the sinusoidal voltage between its terminals to the complex representation of the current flowing through it. Typically, it is dependent on the frequency of sinusoidal voltage. Impedance extends the concept of resistance to alternating current (AC) circuits and has both magnitude and phase, in contrast to resistance, which only has magnitude. The idea of impedance is crucial when doing an AC analysis of electrical networks because it makes it possible to link sinusoidal voltages and currents by a simple linear law. The impedance matrix nevertheless shows a linear relationship between the complex voltages at the ports and the currents flowing through them, despite the fact that the two-terminal definition of impedance in multiple port networks is inadequate. The siemens is the SI unit for admittance, which is the inverse of impedance and was formerly known as the mho. Instruments used to measure electrical impedance are called impedance analyzers.
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On July 15, 2004, NASA launched the Aura spacecraft to study the earth's climate and atmosphere. This satellite was injected into an orbit 705 km above the earth's surface, and we shall assume a circular orbit. Part A How many hours does it take this satellite to make one orbit? VALO ? T- hours Submit Request Answer Part B How fast (in km/s is the Aura spacecraft moving? ΤΕΙ ΑΣφ ? v= km/s
a) The number of hours it takes for the satellite to make one orbit ( h ) = 1.64 hours, b) The speed of the Aura spacecraft = 7.5 Km/s.
Height of satellite Orbit ( h ) = 705 km ≈ 705000 m
a) Determine the time taken in hours for the satellite to make a single orbit
T = 2π [tex]\sqrt{ (R + h)^{2} /GM[/tex]
G = 6.67 * 1011 N-m2/kg2, M (earth's mass) = 5.98 * 1024, R = 6.38 * 106 m, and h = 705000 m
Fill in the values for T = 5933 seconds to equal 1.64 hours ( time taken to complete one orbit )
B) Calculate the spaceship Aura's speed
V = [tex]\sqrt{GM/R + h}[/tex]
G = 6.67 * 1011 N-m2/kg2, M (earth's mass) = 5.98 * 1024, R = 6.38 * 106 m, and h = 705000 m
Fill in the values in the equation ( 2 )
V equals 7503 m/s, or 7.5 km/s.
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as a jet is taking off, it is accelerating down the runway with acceleration , with . you are sitting inside the jet and holding a simple pendulum consisting of a bob of mass attached to a string of length . the pendulum comes to rest in the equilibrium position where the string makes an angle with respect to the vertical. when the bob is in the equilibrium position, which of the following free-body force diagrams on the bob is correct in a reference frame fixed to the accelerating jet.
A jet plane's acceleration is a critical phase of flight that necessitates intense focus on the part of both pilots.
On the ground, things can get hectic and demand a lot of situational awareness, especially when there is little traffic separation, a runway is wet, visibility is poor, and there are heavy winds. Nevertheless, you start to relax a little and take in the beauty of flying as the engines begin to accelerate and you take off and break through the clouds. We have put up this essay with all you need to know so that you may master the takeoff phase in complete confidence.
You must commit to memory three call-outs for the acceleration and takeoff phases of your flight. You will first check your instruments at 80 knots. When you push the nose of your aircraft upward and rotate in V1, you are too quick to abort the takeoff.
This was merely a succinct justification. In order to help you mentally prepare, we will go over every important stage of a jet plane's acceleration.
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A ruby laser emits light of wavelength 694.3 nm. If this light is due to transitions from the n = 2 state to the n = 1 state of an electron in a box, find the width of the box.
If the wavelength of the ruby laser light is 694.3 nm then the width of the box is 0.795 nm .
In the question ,
it is given that ,
the wavelength (λ) is = 694.3 × 10⁻⁹ m ,
transition from n = 2 to n = 1 .
then the energy Eₙ = (h²n²/8mL²)
where "L" is the width of box ,
The transition energy is related to emitted (light) photon wavelength by
ΔE = (h²n²/8mc²L²) × (2² - 1²) = hc/λ ....equation(1)
Rewriting for the width "L" ,
we get ,
L = √[(3hcλ)/8mc²]
Substituting the values in equation(1) ,
we get ,
L = √[(3×1.24×10³×694.3)/8×511×10³]
Simplifying further ,
we get ,
L = 0.795 × 10⁻⁹ m
= 0.795 nm .
Therefore , the width of the box is 0.795 nm .
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Which of the following atmospheric characterization techniques allow for 2D mapping of an exoplanet's atmospheric temperature and circulation patterns?
Measuring phase curves
Direct imaging
Measuring transits at different wavelengths
Measuring Doppler (velocity) curves
Astronomers can learn important details about the atmosphere, surface temperature, and size of transiting planets.
A transiting planet that is the size of a brown dwarf often only dims the brightness of Sun-like stars by a few percent or less. The transit technique has been used to find the majority of known exoplanets. When a planet passes in front of an observer and a star, it is said to be transiting. Transits in our solar system can be seen from Earth as Venus or Mercury pass in front of the Sun. The atmosphere of a transiting exoplanet can be seen backlit by the star when it passes its host star. As exoplanets pass in front of and behind their stars, one can do further atmosphere observations.
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You are at a furniture store and notice that a Grandfather clock has its time regulated by a physical pendulum that consists of a rod with a movable weight on it. When the weight is moved downward, the pendulum slows down; when it is moved upward, the pendulum swings faster. If the rod has a mass of 1.23 kg and a length of 1.25 m and the weight has a mass of 1.99 kg, where should the mass be placed to give the pendulum a period of 2.00 seconds? Measure the distance in meters from the top of the pendulum.
I think the equation for this problem is T= 2pi * sqrt ( I / mgd), where I = md^2
The reason why I think that is because it is no a simple pendulum, it is a physical pendulum which means that a hanging object hangs about a fixed axis that does not pass through its center of mass.
The distance in meters from the top of the pendulum is 0.9939 m and Yes the equation will beT= 2pi * sqrt ( I / mgd).
A simple pendulum consists of a mass m hanging at the end of a string of length L. The period of a pendulum or any oscillatory motion is the time required for one complete cycle, that is, the time to go back and forth once.
If the amplitude of motion of the swinging pendulum is small, then the pendulum behaves approximately as a simple harmonic oscillator, and the period T of the pendulum.
Periodic Motion is based on the concept of periodic motion. Periodic motion can be defined as any motion that repeats over and over again with the same time required for each recurrence. A period is the amount of time for the system to complete one cycle.
In this example, it is the amount of time for the energy sphere to be released and then return to its approximate release point. The frequency is the number of cycles per unit of time, i.e., how many cycles are completed in one minute.
Given,
length = 1.25 m
mass =1.23 kg
T = 2πsqrt(l/g)
2 = 2 *3.14 sqrt(l/9.8)
l = 0.9939 m
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Classical physics defines the vacuum as a state of absence: a vacuum is said to exist in a region of space if there is nothing in it. In the quantum field theories that describe the physics of elementary particles, the vacuum becomes somewhat more complicated. Even in empty space, particles can appear spontaneously as a result of fluctuations of the vacuum. For example, an electron and a positron, or antielectron, can be created out of the void. Particles created in this way have only a fleeting existence; they are annihilated almost as soon as they appear, and their presence can never be detected directly. They are called virtual particles in order to distinguish them from real particles, whose lifetimes are not constrained in the same way, and which can be detected. Thus it is still possible to define the vacuum as a space that has no real particles in it.
The Vacuum - Its Fluctuations and Decay.
Vacuum is not the problem. The reason space is almost a complete vacuum is not because it is attracted to you, but because it is almost empty.
This emptiness results in extremely low pressure. This is an approach to theoretical physics and quantum mechanics that views the underlying physical vacuum as a superfluid or Bose-Einstein condensate.
A vacuum is a space devoid of matter, or a space in which the pressure is so low that the particles in the space do not affect the processes taking place therein. This is a state well below normal atmospheric pressure and is measured in units of pressure. There is no perfect vacuum because it is impossible to remove all air or particles from space. However, partial vacuums are common.
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in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance. if the plate separation of the parallel-plate capacitor is reduced to one-half of its original value, the current in the circuit doubles. find the original capacitive reactance in terms of r.
Xc = (0.467 - 0.427j)R is the original capacitive reactance in terms of r.in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance
Since the resistance in the circuit is R, the reactance of the inductor is XL and the reactance of the capacitor is XC, then the impedance of the circuit is
Z = √[R² + (XL - XC)²]
Since the inductive reactance XL equals the resistance R, we have that
Z = √[R² + (XL - XC)²]
Z = √[R² + (R - XC)²]
Thus, the current in the circuit is thus I = V/Z = V/√[R² + (R - XC)²]
Now, when the plate separation of the parallel plate capacitor is reduced to one-half its original value, the current doubles. Also, when the plate separation is reduced to half, the capacitance doubles since C ∝ 1/d where C is capacitance and d separation between the plates. Since the capacitance doubles, the new reactance XC' is twice the initial reactance XC. So, XC' = 2XC. Thus the new impedance is thus
Z' = √[R² + (R - XC')²]
Z' = √[R² + (R - 2XC)²]
The new current is I' = V/Z' = V/√[R² + (R - 2XC)²]
Since the current doubles, I' = 2I.
V/√[R² + (R - 2XC)²] = 2V/√[R² + (R - XC)²]
1/√[R² + (R - 2XC)²] = 2/√[R² + (R - XC)²]
√[R² + (R - XC)²] = 2√[R² + (R - 2XC)²]
squaring both sides, we have
[R² + (R - XC)²] = 4[R² + (R - 2XC)²]
expanding the brackets, we have
[R² + R² - 2RXC + XC²] = 4[R² + R² - 4RXC + 4XC²]
[2R² - 2RXC + XC²] = 4[2R² - 4RXC + 4XC²]
2R² - 2RXC + XC² = 8R² - 16RXC + 16XC²
collecting like terms, we have
16RXC - 2RXC + XC² - 16XC² = 8R² - 2R²
14RXC - 15XC² = 6R²
15XC² - 14RXC + 6R² = 0
Using the quadratic formula to find XC, we have
Since it is capacitive, we take the negative part.
So, Xc = (0.467 - 0.427j)R
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You are to measure the rotational speed of a crank shaft. The available angular velocity meter has a display with resolution of 2 rpm (revolutions/minute). The meter specifications indicate that the device accuracy is 1.5% of the velocity reading. Find the design stage uncertainty for each of the following velocities
You are required to gauge a crank shaft's rotational speed. The device's level of uncertainty will be 0%.
What does rotational speed mean?The number of rotations a rotating system completes in a predetermined amount of time is the measure of rotational speed, also known as speed or speed of rotation. Pump speed is often expressed in min-1, while rotational speed is measured in s-1 (rev/s) (rpm).
What about angular velocity in rotation?The term "angular velocity" or "rotational velocity" ( or ), also known as "angular frequency vector," refers to a pseudovector that expresses how quickly an item spins or circles in relation to a point or axis or changes its angular location or orientation over time.
Briefing:The velocity meter's resolution = 2 rpm.
accuracy = 1.5%.
40 rpm = 1.5%.
The speed can change at 40 rpm = 39.7 to 40.3 rpm.
The device's resolution = 2 rpm.
uncertainty = 0%.
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A star's absolute magnitude is its apparent brightness as seen from
A. Alpha Centauri.
B. 10 light-years distance.
C. 10 parsecs distance.
D. 100 parsecs distance.
E. Pluto.
Answer: C
The absolute significance of a star is 10 parsecs distance , M is the significance the big name could have if it become located at a distance of 10 parsecs from Earth.
By thinking about stars at a set distance, astronomers can evaluate the real (intrinsic) brightnesses of various stars.Apparent significance is the brightness of a celebrity because it seems to the observer. This is what stargazers look at after they study the sky and spot that a few stars are brighter than others. Absolute significance is the brightness of a celebrity from a distance of 10 parsecs away. A parsec is same to 32.6 light-years.
Astronomers outline big name brightness in phrases of obvious significance — how shiny the big name seems from Earth — and absolute significance — how shiny the big name seems at a popular distance of 32.6 light-years, or 10 parsecs.
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expert that helps you learn core concepts.
See Answer
A 0.100 m long solenoid has a radius of 0.050 m and 1.50 x 10^4 turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200 m is placed at the center of the solenoid with its axis the same as that of the solenoid.
a.) What is the magnetic flux through the small loop when the current through the solenoid is 2.50 A?
b.) What is the induced emf in the loop?
The magnetic flux through the small loop when the current through the solenoid is 2.50 A is 5.87*10⁻⁴ Wb, the induced emf in the loop is 1.4*10⁻³r.
What is magnetic flux ?
The number of magnetic field lines that travel through a specific closed surface is referred to as magnetic flux. It gives a measurement of the overall magnetic field that traverses a specific surface region.
What is induced emf ?
A magnetic field is induced when a conductor carrying an electric current travels through it. Induced electromagnetic fields (EMFs) are created when a magnetic field rotates around an electric field.
Given data
length = 0.100 m
radius = 0.50 m
N= 1.5 *10⁴
I= 2.50A
a) the field inside the solenoid is
B= μ₀ Ni/L
B= 1.25 *10⁻⁶*1.5*10⁴*2.50/0.100
B= 0.47 Tesla
B= 0.47 W₆/m²
Area, A= πr²= (0.02)²
=0.00125m²
Magnetic flux = ∅ = B.A
= 5.87*10⁻⁴ Wb
b) induced Emf in the loop
EMf = μ₀ (dI/dT) (N/L) πr²
EMF= 1.4*10⁻³r
Therefore, the magnetic flux through the small loop when the current through the solenoid is 2.50 A is 5.87*10⁻⁴ Wb, the induced emf in the loop is 1.4*10⁻³r.
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a 2000 hz sound wave passes through a wall with two narrow openings 30 cm apart. if sound travels on average 352 m/s, find the following. (a) what is the angle of the first order maximum?
Angle of the first order maximum is 35.1°.
Given,
frequency f= 2000 Hz
sound travels average 352 m/s
The speed of the sound wave is 352 meters per second, and the Frequency is 2000. The slate is separated by 30 cm. The position of the first order needs to be found. There is a maximum for interference.
a) wavelength = v/f = 352/2000
λ = d sinФ
Ф = si[tex]n^-^1[/tex]( (352/2000)/.3)= 35.4°
The speed of sound can be written as 52 meter per second if the Frequency is 2000 times one over the separation. The first order's maximum is 35.4 degrees.
b) then λ/d
=(352/2000)/.3 = 2.85E-2/d
d=0.0496 m
c) (352/3000)/.3 = (352/f)/1.0E-6
f= 9.0E8 Hz
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For finding the distances to globular clusters, Harlow Shapley used
A. eclipsing binaries
B. planetary nebulae
C. Type I supernovae
D. RR Lyrae variables
E. Population I classical Cepheidsd
Harlow Shapley used RR Lyrae variables.
RR Lyrae variables are periodic variable stars, normally found in globular clusters. they're used as preferred candles to degree galactic distances, supporting the cosmic distance ladder. This elegance is named after the prototype and brightest example, RR Lyrae.
RR Lyrae is a variable, horizontal branch star with periods starting from a few hours to 2 days, and optical brightnesses that commonly vary from zero. They lie within the instability strip of the Hertzsprung-Russell diagram and suffer instabilities that purpose their length to periodically trade.
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a 80 kg student is standing atop a spring in an elevator that is accelerating upward at 3.0m/s2. the spring constant is 2700 n/m .
According to the question, the spring will be compressed by 0.3413 m.
What are the physics applications of springs?Springs are crucial because they provide as straightforward models for numerous complex physical processes. In physics, objects that behave like springs exhibit what has known as a simple harmonic motion (SHM), which you will encounter again. k is referred to as the spring constant.
Briefing:acceleration of elevator=3 m/s²
mass of student= 80 Kg
spring constant=3 x 10³ N/m
the force on the student is given by F = m ( g +a)
F=80 (9.8+3)
F=1024 N
now the formula for spring force is given by
F= k x
1024= 3 x 10³ (x)
x=0.3413 m
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for universes with no dark energy ( ) composed of pressureless matter , what does this imply for an upper limit on , if is equal to 70 km/s/mpc? curvature is determined by the value of , you mustn't simply assume it is flat, obviously
The value of the Hubble constant, denoted H0, represents the expansion rate of the universe. It is defined as the ratio of the speed at which a galaxy is receding from an observer to its distance from the observer. In a universe with no dark energy and composed of pressureless matter, the expansion rate is determined by the density of matter in the universe.
If the Hubble constant is equal to 70 km/s/Mpc, this implies that the expansion rate of the universe is 70 km/s per megaparsec of distance. It does not directly provide information about the curvature of the universe, as the curvature depends on the amount and distribution of matter and energy in the universe, as well as the expansion rate. To determine the curvature of the universe, you would need to know the density of matter in the universe and the expansion rate. If the density of matter in the universe is high enough, the expansion rate will be slowed down and the universe will be closed and have positive curvature. If the density of matter in the universe is low enough, the expansion rate will be accelerated and the universe will be open and have negative curvature. If the density of matter in the universe is just right, the expansion rate will remain constant and the universe will be flat. Without knowing the density of matter in the universe, it is not possible to determine the curvature of the universe based on the value of the Hubble constant alone.
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The drawing shows a 18.1-kg ball being whirled in a circular path on the end of astring. The motion occurs on a frictionless, horizontal table. The angular speed of the ball is
w
a
12.5rad/s
. The string has a mass of
0.0184 kg
. How much time does it take for a wave on the string to travel from the center of the circle to the ball? Number Units
The time taken for the wave on the string to travel from the centre of the circle of the ball is 6.5 * 10⁻⁶ s.
Given that, mass of the ball mb = 18.1 kg
Angular speed of the ball ω = 12.5 rad/s
Mass of the string ms = 0.0184 kg
Speed of the wave of the string is given by the formula,
sw = √(Ts / m') -------(1)
where, Ts is tension in the string
m' is mass per unit length of the strength
Ts = mb * ω² * l --------(2)
m' = ms/l ---------(3)
Substituting (2) and (3) in (1), we have
sw = √(mb * ω²* l²/ ms) ----(4)
We know that, t = l / sw -----(5)
Substituting (4) in (5), we have
t = √( ms/ mb *ω²) = √( 0.0184/(18.1 * 12.5²)) = √( 0.0184/2828.125)
= 0.0000065 = 6.5 * 10⁻⁶ s
Thus, the time taken for the wave on the string to travel from the centre of circle to the ball is 6.5 * 10⁻⁶ s.
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the plane of a loop of wire is perpendicular to a magnetic field. rank, from greatest to least, the magnitudes of the loop's induced emf for each situation. a. the magnetic field strength increases from 0 t to 1 t in 6 s . b. the magnetic field strength increases from 1 t to 4 t in 2 s . c. the magnetic field strength remains at 4 t for 1 min . d. the magnetic field strength decreases from 4 t to 3 t in 4 s . e. the magnetic field strength decreases from 3 t to 0 t in 1 s . rank from greatest to least. to rank items as equivalent, overlap them.
The plane of a loop of wire is perpendicular to a magnetic field. Rank, from greatest to least, the magnitudes of the loop's induced emf for each situation will be E - B - D - A-C.
Magnetic field strength is one of two ways that the intensity of a magnetic field can be expressed. Technically, a distinction is made between magnetic field strength H, measured in amperes per meter, and magnetic flux density B, measured in Newton-meters per ampere, also called tesla.
A current I through a long, straight wire produces a magnetic field with strength H=I/2πr at a distance r from the wire. So the field strength is inversely proportional to the distance from the wire.
The unit of magnetic field strength happens to be ampere per meter or A/m. Furthermore, the symbol of the magnetic field strength happens to be H.
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A rocket on Earth experiences an upward applied force from its thrusters. As a result of this force, the rocket accelerates upward at 2 m/s2. Assume that there are no other upward forces exerted on the rocket and that wind resistance is negligible. Which of the following combinations of the rocket mass Mrocket and force from its thrusters FThrusters would result in an upward acceleration of 2 m/s2? Select two answers.
A. Mrocket 1 kg, FThrusters 12N
B. Mrocket 2 kg, FThrusters 4 N
C. Mrocket 3 kg, FThrusters 6 N
D. Mrocket 3 kg, FThrusters 36 N
The combinations of the rocket mass Mrocket and force from its thrusters FThrusters would result in an upward acceleration of 2 m/s2 are
A. Mrocket 1 kg, FThrusters 12 N
C. Mrocket 3 kg, FThrusters 6 N
Using Newton's Second Law, F = ma, we can determine the force needed to accelerate a rocket at a given rate. Since the mass of the rocket is given, we can calculate the force by rearranging the equation to F = m*a, where m is the mass and a is the acceleration. Therefore, for a mass of 1 kg, the force needed to achieve an acceleration of 2 m/s2 is 12 N. Similarly, for a mass of 3 kg, the force needed to achieve an acceleration of 2 m/s2 is 6 N.
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The proper time between two events is measured by clocks at rest in a reference frame in which the two events: A. occur at the same time B. occur at the same coordinates C. are separated by the distance a light signal can travel during the time interval D. occur in Boston E. satisfy none of the above
The proper time between two events is measured by clocks at rest in a reference frame in which the two events occur at the same coordinates. (Option B)
In physics and astronomy, a frame of reference or reference frame refer to an abstract coordinate system whose origin, orientation, and scale are specified by a set of reference points which are geometric points whose position is identified both mathematically (with numerical coordinate values) and physically (signaled by conventional markers). Hence, the proper time between two events is measured by clocks at rest in a reference frame in which the two events occur at the same coordinates.
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3. A ballon of weight 300 N is moving upward. Volume of
ballon is 30m³ and displacing air of density 1.2kg/m³ 11.A
then the upward force acting in the ballon is?
The upward force acting in the ballon is -352.8N
What is upward force?This refers to a force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. the upward force is also known as upthrust. It operates under Archimedes' principle.
The formula for calculating upward force:
Fb = -ρ g V
Where,
Fb = buoyant force
ρ = fluid density
g = acceleration due to gravity
V = fluid volume
From the question:
V= 30m³
ρ = 1.2kg/m³
W = 300 N
g = 9.8m/s
To calculate buoyant force, Fb:
Fb = -ρ g V
Fb = - 1.2kg/m³ * 9.8m/s * 30m³
Fb = -352.8N
Note: Negative upward force suggests that the immersed object is denser than the fluid displaced which results in the sinking of the object. Neutral buoyancy takes place when the weight of the immersed object is equivalent to the fluid displaced. The dive taken by the scuba diver is a perfect example of neutral buoyancy.
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The mass of an elevator and its occupants is 1500kg . the electric motor that lifts the elevator can provide a maximum power of 18kw . what is maximum constant speed at which it can lift?
The maximum constant speed at which the elevator with a mass 1500 Kg can be lifted is 0.12 m/s.
To determine the maximum constant speed at which an elevator can be lifted, we need to consider the power available from the lifting device, in this case an electric motor, and the mass of the elevator and its occupants. The power available from the motor is given as 18 kW, and the mass of the elevator and its occupants is given as 1500 kg.
The speed of an object being lifted is directly related to the power available from the lifting device and the mass of the object being lifted. The relationship between these variables is given by the equation Power = mass * acceleration * velocity. By rearranging this equation to solve for velocity, we can determine the maximum constant speed at which the elevator can be lifted.
In this case, the acceleration of the elevator is equal to the acceleration due to gravity, which is 9.81 m/s^2. Plugging in the values for the power, mass, and acceleration, we get a maximum constant speed of 0.12 m/s for the elevator. This means that the elevator can be lifted at a constant speed of 0.12 m/s, given the power available from the electric motor and the mass of the elevator and its occupants.
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when you urinate, you increase pressure in your bladder to produce the flow. for an elephant, gravity does the work. an elephant urinates at a remarkable rate of 0.0060 m3 (a bit over a gallon and a half) per second. assume that the urine exits 1.0 m below the bladder and passes through the urethra, which we can model as a tube of diameter 8.0 cm and length 1.2 m. assume that urine has the same density as water, and that viscosity can be ignored for this flow.
During urination, the pressure in the bladder increases to produce the flow hence, the speed of the flow of urine is 1.19 m/s and bernoulli's equation give for the pressure in the bladder is -9092 pa.
The Bernoulli equation is concerned with the conservation of kinetic, potential, and flow energies of a fluid stream and their conversion to each other in regions of flow where net viscous forces are negligible and where other restrictive conditions apply. The energy equation is a statement of the conservation of energy principle.
The Bernoulli equation is an approximate relation between pressure,velocity, and elevation, and is valid in regions of steady, incompressible flow where net frictional forces are negligible.
Given,
d = 8 cm = 0.08 m
Area of the tube, A = pi*d^2/4
= pi*0.08^2/4
= 0.005036 m^2
volume flow rate, dV/dt = A*v
v = (dV/dt)/A
= 0.006/0.005036
= 1.19 m/s
Now, use Bernoulli's theorem,
P_baldder + rho*g*h1 + (1/2)*rho*v1^2 = P_atm + rho*g*h2 + (1/2)*rho*v^2
P_baldder + rho*g*h + 0 = P_atm + 0 + (1/2)*rho*v^2
P_baldder - P_atm = (1/2)*rho*v^2 - rho*g*h
= (1/2)*1000*1.19^2 - 1000*9.8*1
= -9092 Pa
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The spring in the figure (Figure 1)/ (a) is compressed by length delta x . It launches the block across a frictionless surface with speed v0. The two springs in the figure (Figure 2) (b) are identical to the spring of the figure (a). They are compressed by the same length delta x and used to launch the same block. What is the block's speed now?
The speed from two springs is √2 times the speed with one spring.
The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.
A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
The primary unit or the S.I. unit of speed is m/s or ms?¹.
Calculation :
The energy stored in the spring is 0.5*k*∆x²; this must equal the kinetic energy of the released block. 0.5*m*v0²:
0.5*m*v0² = 0.5*k*∆x²
v0 = ∆x*√[k/m]
Two springs will store twice the energy, so the stored energy in the two springs is k*∆x²
0.5*k*∆x² = k*∆x²
v0 = ∆x*√[2*k/m]
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Problems 2-3 refer to the following situation. A lake has a depth of
27.5 m
. The lake is filled with water, with has a density of
1000 kg/m^3
. Since the top of the lake is open to the air, the pressure at the top of the lake is the atmospheric pressure,
P 0​ =1.0×10^5
. Problem 2: What is the pressure at the bottom of the lake? a.
1.7×10^5 Pa
b.
3.7×10^5 Pa
c.
5.7×10^5 Pa
d.
7.7×10^5 Pa
Problem 3: An underwater vehicle is at the bottom of the lake. The vehicle has a circular window of radius
0.175 m
. What is the force on this window, due to the water? a.
1.6×10^4 N
b.
3.6×10^4 N
c.
5.6×10^4 N
d.
7.6×10^4 N
A pressure at the bottom of the lake of: P = 3.7 x 10^5 Pa So the answer to problem 2 is 3.7 x 10^5 Pa the answer to problem 3 is 3.6 x 10^4 N.
To find the pressure at the bottom of the lake, you can use the formula for hydrostatic pressure: P = P0 + rho * g * h Where P is the pressure at the bottom of the lake, P0 is the atmospheric pressure at the top of the lake, rho is the density of the water, g is the acceleration due to gravity, and h is the depth of the lake. Plugging in the given values, you get: P = 1.0 x 10^5 Pa + 1000 kg/m^3 * 9.8 m/s^2 * 27.5 m This gives a pressure at the bottom of the lake of: P = 3.7 x 10^5 Pa. To find the force on the circular window, you can use the formula for the force exerted by a fluid on a surface: F = P * A Where F is the force on the window, P is the pressure at the bottom of the lake, and A is the area of the window. The area of the window can be calculated using the formula for the area of a circle: A = pi * r^2 Where A is the area of the window, pi is the mathematical constant pi (approximately 3.14), and r is the radius of the window. Plugging in the values, you get: F = 3.7 x 10^5 Pa * (pi * (0.175 m)^2) This gives a force on the window of: F = 3.6 x 10^4 N So the answer to problem 3 is b. 3.6 x 10^4 N.
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Part A Which of the following statements are true? Check all that apply. View Available Hint(s) Mechanical energy is conserved because no dissipative forces perform work on the ball. The forces of gravity and the spring have potential energies associated with them. No conservative forces act in this problem after the ball is released from the spring gun.
The statement that is true is Mechanical energy is conserved because no dissipative forces perform work on the ball. The correct option is A.
What is mechanical energy?Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.
Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.
Therefore, the correct option is A, Mechanical energy is conserved because no dissipative forces perform work on the ball.
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The starships of the Solar Federation are marked with the symbol of the Federation, a circle, whereas starships of the Denebian Empire are marked with the Empire's symbol, an ellipse whose major axis is n times its minor axis (a = nb in the figure (Figure 1)). How fast, relative to an observer, does an Empire ship have to travel for its markings to be confused with those of a Federation ship? Use c for the speed of light in a vacuum. Express your answer in terms of n and c.
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The speed at which an Empire ship must travel for its markings to be confused with those of a Federation ship is sqrt(c^2 - 1/n^2) * c, where n is the ratio of the major axis to the minor axis of the ellipse and c is the speed of light in a vacuum.
The appearance of an object changes when it moves at a significant fraction of the speed of light due to the phenomenon of relativistic length contraction. This effect causes the length of the object to appear shorter to an observer, and also causes any features on the surface of the object to be distorted.
In the case of the Empire ship and the Federation ship, the appearance of the symbols on their hulls would be affected by relativistic length contraction. If the Empire ship is moving fast enough, its ellipse-shaped symbol may appear to an observer as a circle, similar to the symbol on the Federation ship.
To determine the speed at which this would occur, we can use the equation for relativistic length contraction: L' = L / sqrt(1 - v^2/c^2), where L' is the length of the object as observed by the observer, L is the actual length of the object, v is the speed of the object, and c is the speed of light in a vacuum.
By setting L' equal to the length of the minor axis of the ellipse (b) and L equal to the length of the major axis (a), and solving for v, we can determine the speed at which the Empire ship must travel for its markings to be confused with those of the Federation ship. This speed is given by the equation v = sqrt(c^2 - b^2/a^2) * c, where n is the ratio of the major axis to the minor axis of the ellipse and c is the speed of light in a vacuum.
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Bill Lauer, retired UT professor who holds six.national swimming records in the 80-84 age group, drops one of his medals in the swimming pool. He shines a flashlight into the pool onto his medal. The index of refraction of the water is 1.33. All dimensions are given in meters STATS-HELP ? NOTES T IMAGES | i Discuss. I Ulis art Description Answer Chk History Try 2-your answer of 3.44 m is not correct. How far is the medal from the edge 3.44m A of the pool? (include units with answer) 13.2 pts. 106% Angles must be measured from normal, not from water surface. try penalty tries: 2. how Detais Hints: 0.1
Using Snell's Law we got the distance from the edge to be 4.678 m.
Snell's law (also known as Snell–Descartes law and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.
Snell's law is used for refraction of light
It is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media.
From Snell's Law,
n₁ sin i = n₂ sin r
1 * [1.6 /√(1.6² + 1.1²)] = 1.33 * [P / √(P² + 3.9²)]
P² = 0.3838P² + 0.3838(3.9)²
P = 3.078 m
Now, with the solution of Snell's Law, we can easily find the distance from the edge.
Distance from the edge = (1.6 + 3.078) = 4.678 m
Therefore, using Snell's Law we got the distance from the edge to be 4.678 m.
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The apparatus represented in the (Figure 1) consists of five identical balls mounted on elastic rods. Each elastic rod is connected to a base. The (unlabeled) ball and rod on the far left are pulled towards the screen (that is, toward you) and released. Which of the ball-and-rod combinations will have the largest amplitude of oscillation?Options: A. AB. BC. CD. DE. All of the rods will have the same amplitude of oscillation.
The option (d) is correct-This is because, the rod in D has same length as the vibrating rod (unlabeled) so its more likely to get in resonance with that that's why it oscillates more vigorously.
What is oscillates ?
In a complex mixture of chemical compounds that are reacting, a chemical oscillator is one in which the concentration of one or more components changes on a regular basis.
What is vibrating rod ?
A trustworthy point level sensor for high and low level indication or plugged chute detection is a vibrating rod, also known as a vibrating level switch. Bulk densities of as little as 1.25 lb/ft3 can be used for their use in light, fluffy powders and flakes.
Therefore, option (d) is correct-This is because, the rod in D has same length as the vibrating rod (unlabeled) so its more likely to get in resonance with that that's why it oscillates more vigorously.
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if you measured the bouyancy force on an object submerged in molasses instead of water how would the bouyancy force differ
The buoyancy force when measured on an object submerged in molasses instead of water the buoyancy force does not differ.
Buoyancy is the force that is applied by any fluid on the body which is submerged in it.
The buoyancy force on any body is given by the relation,
B = Vpg
Where,
V is the volume of the fluid displaced,
p is the density of the fluid,
g is the acceleration due to gravity.
If we assume that the object is floating on the surface of the fluid then the buoyancy force will be equal to the weight of the body.
So, if the buoyancy force is measured on molasses instead of water the boils force will not differ in magnitude because it will be equal to the weight of the body in both the cases.
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FILL IN THE BLANK. in of all crashes involving cars and motorcycles, the car driver says he simply did not see the motorcycle. half two-fourths o
In one-third of all collisions between motorbikes and cars, the car driver claims he simply did not notice the motorcycle. when both the suspect and officer automobiles were totaled as a result.
Of pit maneuvers performed by professional officers. A police car is usually fortified for this and is heavy. It's likely that a light vehicle attempting a pit maneuver will sustain significant damage. If a novice tried this, they would probably get it incorrect and make a worse hazard. Officers and bystanders may potentially suffer damage as a result. The police are unsure of your intentions—whether you're trying to assist them for collisions, the suspect, or a different criminal who wants to hurt him or her. You'll be charged with several crimes due to speed, including obstruction and assault with a deadly weapon, for this action.
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