To find the apparent position of the fish to an observer outside the bowl, we can use the lens equation:
1/p + 1/q = 1/f
where p is the distance from the object (the fish) to the center of the lens (in this case, the center of the fishbowl), q is the distance from the image to the center of the lens, and f is the focal length of the lens.
The focal length of a lens is given by the formula:
f = (n-1)R/2(n-1)
where R is the radius of the lens (in this case, the radius of the fishbowl) and n is the refractive index of the lens material (in this case, water).
Since the diameter of the fishbowl is 28.0 cm, the radius is 14.0 cm. The refractive index of water is approximately 1.33, so the focal length is approximately 8.5 cm.
To find the apparent position of the fish, we need to find p and q. If we let q be the distance from the image to the center of the lens, then the distance from the fish to the center of the lens is p = R - q.
Substituting these values into the lens equation, we get:
1/p + 1/q = 1/f
1/(R-q) + 1/q = 1/f
Solving this equation for q, we find that q = R/2 = 14.0 cm/2 = 7.0 cm.
This means that the apparent position of the fish is 7.0 cm from the center of the fishbowl.
To find the magnification of the fish to an observer outside the bowl, we can use the formula:
m = -q/p
Substituting the values we found above, we get:
m = -7.0 cm / (14.0 cm - 7.0 cm) = -1/2 = -0.5
This means that the fish is magnified by a factor of -0.5, or half its size.
to keep the voltage drop of a 277v circuit to a maximum of 3%, what would be the maximum allowable voltage drop?
The voltage across the circuit is 277 V. To keep the voltage drop to a maximum of 3%, the allowable voltage drop will be 8.31 V.
What is voltage?Voltage is the potential difference applied between the two opposite terminal of the circuit. The unit of voltage is represented as V. According to Ohm's law voltage in a circuit is the product of current and resistance through the circuit.
The applied voltage cannot be utilised by 100%. There occurs a voltage drop across the circuit. Given that the total voltage applied is 277 V. The maximum allowed voltage drop is 3%.
Thus, maximum allowable voltage drop for 277 v = 277 × 3/100 = 8.31 V.
Therefore, the maximum allowable voltage drop is 8.31 V.
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During laboratory investigation, students determined a large block of iron to have a density of 7.75 g/mL. If the block were to be cut in half, what would be the density of the smaller block?
a. 7.75 g/mL
b. 15.5 g/mL
c. 3.88 g/mL
d. 5.58 g/mL
Answer: (a) 7.75 g/mL
Explanation: Density is calculated as mass/volume. When you cut the block in half, you cut the mass in half and the volume in half, meaning that the density is the same.
EX: 2/2 = 1; also 1/1 = 1
looking for planets orbiting even the nearest stars is like looking from san francisco for pinheads and marbles orbiting a ? in washington dc
Proxima Centauri's third planet can be seen by observing variations in brightness over a period of more than two years. The third planet that orbits Proxima Centauri, the star nearest to the Sun, has been found by astronomers.
What, looking for planets orbiting even the nearest stars?The transit method has so far been used to discover the great majority of planets orbiting other stars.
Therefore, 3 New Planets Found By Kepler Telescope In The “Goldilocks Zone” The planets that circle distant stars are around the size of Earth and are orbiting. At a distance from their suns that keeps the temperatures on their surfaces in the middle.
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An adult inhales about 6.0×10^−4 m^3 of fresh air during a breath. only 20% of fresh air is oxygen. assume the pressure in the lungs is 1.0×10^5 pa and the air is at a temperature of 300 k. How many oxygen molecules are in each breath?
Number of oxygen molecules in each breath is 2.9X10^21
Given that the volume of air inside a breath (V) = 6.0×10^−4 m^3
oxygen in fresh air = 20%
volume of oxygen in fresh air = 20/100 x 6.0×10^−4 = 1.2x10-4m^3
pressure in the lungs (P)= 1.0×10^5 pa
Temperature of air (T) =300K
Using ideal gas equation find the number of moles of oxygen
PV = nRT
Then n = 1.0×10^5 x 1.2x10-4 / 8.314 x 300 = 4.8x10-3mol
We know the number of molecules in 1 mol is 6.023x10^23
Then the number of molecules in 4.8x10-3mol of oxygen is =
4.8x10-3molx 6.023x10^23 = 2.9x10^21
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a ball is thrown vertically upward with a velocity of 20m/s from the top of a multistory building. the height of the point where the ball is thrown is 25 m from the ground. then find a. how height will the ball rise?
B how long will it be before the ball hip the ground?
A ball is thrown vertically upward with a velocity of 20m/s from the top of a multistory building. The height of the point where the ball is thrown is 25 m from the ground. The height will the ball rise is 20m. 5s long will it be before the ball hip the ground.
What is velocity ?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
A. for solving how high will ball go , velocity at the top point will be 0 this gives ,
s = v² - u² / 2a
= 0 - 20² / -2 × 10
= 20m
B. Time to reach maximum height can be obtained from v = u + at
0 = 20 + ( − 10 ) t
t = 2s
s = ut + 0.5at²
= 20 ( 2 ) + 0.5 ( −10 ) ( 2 )²
= 20m
Therefore, the total distance for maximum height is 45 m
s = ut + 0.5at²
45 = 0 + 0.5 ( 10 ) ( t )²
t = 3s
Then,
Total time = 3+2
= 5s
Thus, A ball is thrown vertically upward with a velocity of 20m/s from the top of a multistory building.The height will the ball rise is 20m. 5s long will it be before the ball hip the ground.
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explain the effects of scattering of visible light on optical effects such as sky color and darkness of shadows
The more the scattering of photons by small particles (such as molecules, microscopic water droplets, and dust particles), the shorter their wavelength.
Since short wavelengths dominate in dispersed light, the sky seems blue there while direct sunlight is more yellowish or even reddish when the sun is low in the sky. When light interacts with the environment to produce vivid and colorful displays, this is known as an optical effect. Tiny particles in the atmosphere cause optical phenomena. Sunlight is reflected, refracted, and scattered as it travels through the atmosphere by water droplets, ice crystals, and dust particles. Refraction of light waves can split white light into distinct colors and produce visual effects.
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the nucleus of a uranium atom has a diameter of 1.5×10−14m and a mass of 4.0×10−25kg.
A uranium atom's nucleus measures 1.5 x 10^-14 mm in diameter and weighs of 2.2635 x 10^17 kg.
The Earth's crust contains 2.8 parts per million of uranium, an element that is found naturally. It is virtually always present in little amounts. It is almost the same in abundance as tin, somewhat less abundant than cobalt, lead, or molybdenum, and more abundant than gold, silver, or mercury.
Nucleus density is determined by the ratio of mass to volume.
Proton mass equals nucleus mass.
Nucleus volume is equal to (4/3)*pi*r3. and r is the radius
A uranium atom's nucleus has a mass of 4.0*10^-25 kg and a diameter of 1.5*10^-14 m.
first, locate volume.
Radius is calculated as follows: 1.5*10^-14 m/2 = 7.5*10^-15 m radius
vol is equal to (4/3)*pi*(7.5*10^-15)3 = 1.76715*10^-42 of volume.
Locate density using the formula d=m/vol (kg/m³)
d = 4.0*10^-25 kg / 1.76715*10^-42 m^3
d = 2.2635*10^17 (kg/m³)
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Correct Question:
The Nucleus Of A Uranium Atom Has A Diameter Of 1.5*10^-14 M And A Mass Of 4.0*10^-25 Kg.
the weight of a satellite on a planet's surface is w. which is closest to the weight of the satellite when it's in orbit?
The closest to the weight of the satellite when it's in orbit is 0
Because the surface does not apply any force to the body, it appears to have no weight.
All positions are comfortable since a body in a satellite requires no support to be at rest. We refer to this condition as weightlessness.
It will be challenging to control one's movement because, without weight, he will likely tend to drift aimlessly. He will have to push himself away from the walls or other permanent things in order to go from one place to another.
Because everything is falling freely, things are at rest in relation to one another. For example, if a table is removed from underneath an object, the object will stay in place without any support.
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When nitrogen and hydrogen gas combine to make ammonia, the chemical equation looks like this:
2N2 + 3H2 => 2NH3
If the hydration energy of 2N2 + 3H2 is equal to + 2251.3 kJ/mol and the lattice energy of 2NH3 is equal to -2343.52 kJ/mol, what is the total energy change of this reaction and is the reaction endothermic or exothermic?
(a) The total energy change of this reaction is -4,594.82 kJ/mol.
(b) The reaction is exothermic.
What is the change total energy change of this reaction?
The total energy change of the given reaction is determined by taking the difference between the energy of the product and the reactant.
ΔH = Hp - Hr
where;
Hp is the energy of the productHr is the energy of the reactantThe given parameters;
energy of the product = -2343.52 kJ/molenergy of the reactant = 2251.3 kJ/molΔH = -2343.52 kJ/mol - 2251.3 kJ
ΔH = -4,594.82 kJ/mol
Based on the negative change in the total energy, the reaction is exothermic.
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why does an artesian well flow without pumping? group of answer choices the water table is at the surface in an artesian aquifer. the water in an unconfined aquifer is pressurized. the water in a confined aquifer is pressurized. the hydraulic head is very high in the aquifer.
An artesian well flows without pumping because the water in a confined aquifer is pressurized.
The correct option is C.
What are artesian wells?Artesian wells are aquifers in which the pressure in the aquifer forces the water confined within the ground above the ground surface so that the well will flow without pumping.
Aquifers are underground layers of permeable rock, rock fractures, or sediments that contain water stored or trapped within them.
Types of aquifers include:
Confined aquifers - these are aquifers that have a layer of impenetrable rock or clay above themUnconfined aquifers - these are aquifers that lie below a permeable layer of soil.Artesian wells are examples of aquifers and do not require pumping.
Some aquifers on the other hand require pumping of the water stored within.
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sound waves have a speed of 340 m/s in room-temperature air. what is the wavelength of the sound waves for the musical tone concert a, which has a frequency of 440 hz?
The wavelength of the sound waves for the musical tone concert is 0.772m if frequency of wave is 440Hz.
Wavelength is defined as the distance between two consecutive crest and troughs. Wavelength is measured in meters and it is represented by λ. Frequency is defined as the number of vibrations completed by the wave in per second time. Frequency is measured in Hertz.
We know that for electromagnetic wave, we know that
c=v×λ
where c is the defined as the speed of the light wave
v is defined as the frequency of light wave and
λ is defined as the wavelength of light wave
We have c=340m/sec, v=440Hz and λ=?
So, on putting the values, we get
=>340=440 ˣ λ
=>λ=340/440
=>λ=34/44
=>λ=0.772m
Hence, wavelength of the sound waves is 0.772m
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if the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the angular acceleration of the disk about its center of mass?
Fnet=mTacom, where Fnet is the net external force acting on the system and mT is the system's total mass, can be used to quickly compute the acceleration of the center of mass.
As a result, the system's center of mass accelerates by 2/3 ms2. The fixed point of rotation for things is their center of mass. There is no angular acceleration when a force is applied to the center of mass because the torque produced is zero. 12.5 radians per second squared is the size of the disk's angular acceleration. The position of the point in relation to the axis of rotation affects the rigid body's linear speed and acceleration at any given moment. Think about the disk's point B once more.
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where in the universe do we see young galaxies? in the local group in the local supercluster in all regions of space billions of light-years away
The Milky Way is a member of the Laniakea Supercluster, which is a member of the Virgo Supercluster, which is a member of the Local Group galaxy group (which includes more than 54 galaxies).
Are the Local Group galaxies relocating away from us?Does the Local Group grow together with the universe as a whole? (Intermediate) The Local Group of Galaxies (Andromeda, Milky Way, etc.) is moving in the direction of the Local Supercluster.
Where can one find young stars in our galaxy?While the cooler red star predominates the bulge, hot young stars are mostly found in the spiral arms of the disk. The galaxy as a whole undergoes a dramatic change in appearance as we go through the various star populations.
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If stormy weather were approaching, the pressure tendency would probably be ______. answer choices. falling. rising. steady. none of these.
Option A - Falling is the pressure tendency ,If stormy weather were approaching .
Stormy weather, namely when it includes components like dark clouds, strong winds, thunder, lighting, and rain, is defined as weather that has generated storms or that indicates storms are imminent. It's frequently used in sentences that refer to stormy weather. Low pressure causes active weather. As a result of air rising because it is lighter than the air masses around it, the atmosphere becomes unstable. When the air pressure increases, vapour in the condenses, creating clouds and rain, among other things. Both violent storms and active weather, such as wind and rain, are produced by low pressure systems.
Low-pressure areas have relatively thin atmospheres. Inward winds are a factor in these locations. Low-pressure storms are frequently well-organized.
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when electromagnetic energy travels from air into water, the waves are bent due to the density differences between the air and water. what is this bending called?
When a wave travels from one medium to another, its velocity (speed) changes, causing it to bend. This is known as refraction. The wave's frequency remains constant.
Refraction is the bending (and slowing down) of electromagnetic radiation's propagation direction as it passes through two denser substances. Electromagnetic waves transfer energy from one location to another through radiation. Starlight that is going through space could be this energy. Or perhaps your hands are being warmed by a campfire. A molecular substance's surface will curve when it comes into contact with another substance, creating a meniscus. Light slows down and somewhat changes direction as it passes through water from air.
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suppose that the uncertainty in the measurement of an electron's position is zero. part a if measured simultaneously, what is the uncertainty in the electron's momentum?
The uncertainty in the electron's momentum is infinity.
What is Heisenberg Uncertainty Principle?
According to Heisenberg's uncertainty principle, it is impossible to precisely measure or quantify an object's location or momentum. The wave-particle duality of matter serves as the foundation for this idea. The uncertainty in the location and velocity of objects with relatively high masses is insignificant in the macroscopic world, therefore Heisenberg's uncertainty principle may be disregarded; nevertheless, in the quantum world, it has important implications. Due to the extremely tiny masses of atoms and subatomic particles, any improvement in positional precision will be followed by a corresponding rise in velocity uncertainty.
Heisenberg's uncertainty principle is a fundamental idea in quantum mechanics that explains why it is impossible to measure more than one quantum variable at once.
From Heisenberg uncertainity principle
Dx. Dp >h/2pi
Dx =0,
Dp = infinite
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the white dwarf at the center of the helix nebula has a mass three times the mass of our sun.
Three times as massive as the Sun is the white dwarf star in the heart of the Helix planetary nebula. False The Chandrasekhar mass, or 1.4 solar masses, is the white dwarf's maximum mass.
White dwarf stars typically last between 100,000 and 10 billion years and have masses between 0.1 and 1.4 that of the Sun. To balance their mass, white dwarf stars no longer produce energy. White dwarf stars, like Sirius B, Procyon B, or Van Maanen, are limited in mass theoretically to 1.4 solar masses.
A star core remnant known as a white dwarf is primarily made up of electron-degenerate materials. A white dwarf is extremely dense; it has a mass similar to that of the sun.
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for each of the following cases, indicate whether the work done on the second object in each example will have a positive or a negative value. a. the road exerts a friction force on a speeding car skidding to a stop. b. a rope exerts a force on a bucket as the bucket is raised up a well. c. air exerts a force on a parachute as the parachutist falls to earth.
a) The work done by frictional force on the skidding car is negative.
b) Positive work is accomplished by the rope's force on the bucket.
c) The work done by the force exerted by the air on the parachutist is negative.
W = F * d = F d cos gives the amount of work done.
where, force is F and displacement is d
a) The road exerts a frictional force on a speeding car skidding to a stop.
In this instance, the frictional force F works in opposition to the direction of motion and opposes the motion itself. The angle between displacement and frictional force, which is in the opposite direction and equals 180°.
So, the work done by the frictional force on the skidding car is negative.
b) A bucket is being raised up a well while being pulled by a rope.
The bucket is raised upward by the rope's upward force F. The force and displacement are in the same direction, and their angle is equal to zero.
So, the work done by the force exerted by the rope on the bucket is positive.
c) As a parachutist falls to the ground, air pulls on a parachute.
The air opposes the parachutist's descent with a force F as they both plummet to the ground under the influence of gravity. The force exerted by the air is in a direction opposite to the motion of the parachutist. The force of air and displacement have an angle of 180 degrees.
So, the work done by the force F exerted by the air on the parachutist is negative.
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A soccer player takes a free kick from a spot that is 26m from the goal. The ball leaves his foot at an angle of 26˚, and it eventually hits the crossbar of the goal, which is 2.4m from the ground
At what speed did the ball leave his foot?
The speed of the ball when it left his foot is 11.13 m/s.
What is the motion of the projectile?A projectile is an object that is launched or projected into the air and is only subject to the acceleration of gravity. Projectile and trajectory both refer to the same thing: an object.
The given parameters;
distance of the goal, d = 26 m
angle of projection of the ball, = 26°
height of the cross bar, H = 2.4 m
The speed of the projectile will be calculated by applying the formula for maximum height reached by a projectile;
[tex]H=U^{2} sin^{2}/2g[/tex]
[tex]u^{2} =2gh/x=sin^{2}[/tex]
[tex]u^{2} =2*9.8*2.4/sin^{2} 26[/tex]
[tex]u^{2} =81.10[/tex] m/s
u=9 m/s
Thus, the speed of the ball when it left his foot is 9 m/s.
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Santa Claus entered the North Pole Annual Elf Throwing Competition. He fired his elf with a
horizontal speed of 25 m/s from the top of an iceberg of height 110 m. What was the elf's range and
time of flight?
Answer:
To find the range and time of flight of the elf, we need to use the equations of motion under the influence of gravity. The range is the horizontal distance covered by the elf and the time of flight is the total time that the elf is in the air.
The initial velocity of the elf in the x-direction (horizontal direction) is 25 m/s and the initial velocity in the y-direction (vertical direction) is 0 m/s, since the elf is thrown horizontally from the top of the iceberg. The acceleration due to gravity is -9.8 m/s^2 in the downward direction.
Using these values, we can find the range and time of flight of the elf using the following equations:
Range:
x = x0 + v0x*t
Where x is the range, x0 is the initial position (in this case, x0 is 0 since the elf is thrown from the top of the iceberg), v0x is the initial velocity in the x-direction (25 m/s), and t is the time of flight.
Time of flight:
y = y0 + v0y*t + (1/2)at^2
Where y is the vertical position of the elf, y0 is the initial position (in this case, y0 is 110 m since the elf is thrown from the top of the iceberg), v0y is the initial velocity in the y-direction (0 m/s), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time of flight.
We can solve for t in the second equation and then substitute it into the first equation to find the range.
Solving for t in the second equation:
t = (-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a)
Where y is the vertical position of the elf (0 m since the elf lands on the ground), y0 is the initial position (110 m), v0y is the initial velocity in the y-direction (0 m/s), and a is the acceleration due to gravity (-9.8 m/s^2).
Substituting this expression for t into the first equation:
x = x0 + v0x*((-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a))
Plugging in the values:
x = 0 + 25*((-0 + sqrt(0^2 - 4*(-9.8)(110))) / (2(-9.8)))
Simplifying:
x = 25*(sqrt(5832) / -19.6)
x = 25*(sqrt(5832) / -19.6)
x = (25*74.6) / -19.6
x = 1865.4 / -19.6
x = -95.1 m
So, the range of the elf is approximately -95.1 m. This means that the elf lands 95.1 m to the left of the starting point (the top of the iceberg).
The time of flight can be found by solving for t in the second equation:
t = (-v0y +/- sqrt(v0y^2 - 4a(y0 - y))) / (2*a)
Plugging in the values:
t =
Explanation:
a child (32 kg) jumps up and down on a trampoline. the trampoline exerts a spring restoring force on the child with a constant of 5000 n/m. at the highest point of the bounce, the child is 1.0 m above the level surface of the trampoline. what is the compression distance of the trampoline? neglect the bending of the legs or any transfer of energy of the child into the trampoline while jumping.
x =−0.422 m is the compression distance of the trampoline.
What does the term "energy conservation" mean?Energy efficiency a basic rule of physics and chemistry states that despite internal changes, the overall energy in an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."
How to calculate the compression distance in the trampoline?Given, Mass m = 32 kg
restoring force, k = 5000 n/n
height, h = 1 m
According to the concept of Conservation of energy,
initial total Energy = final total Energy
Ui + Uepe +Ki = Uf + Uepe + Kf
here,
Ui,Uf = initial,final potential energy
Uepe = elastic potential energy
Ki,Kf = initial,final Kinetic energy
mgh+1/2kx²+0 = mgh+1/2kx²+0
32×9.8×1+0+0 = mgx+1/2kx²
313.6 = 313.6x +1/2×5000×x²
0 = 313.6 + 313.6x + 2500x²
x = [313.6± (√313.6² - 4× -2500×313.6)]/2×313.6
x = -0.422 0r x = 0.29
The compressing of the spring should be considered to be represented by the negative figure of x.
x =−0.422 m is the compression distance of the trampoline.
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Please Help me! Please show all work!
Jeremiah the Bullfrog rode a roller coaster around a loop. Being a good friend, he took some measurements for you during his journey. The 1.5kg amphibian noted that at the bottom of the loop, the speed of the roller coaster was 33m/s. You know from the informational poster next to the entrance that the loop has a radius of 22m. How much force did the seat exert on Jeremiah at the bottom of the loop?
74.25 N much force did the seat exert on Jeremiah at the bottom of the loop.
What is centripetal force?This is an acceleration technique. When an item is moving in a circle, it is moving ahead while being turned by a consistent force that is directed inward. The Centripetal Force is the name given to this internal resultant force.
Given that,
Mass (m) = 1.5 kg
speed (v) = 33 m/sec
radius (r) = 22m
As we know,
centripetal force (F) = mv²/r
or, F = [1.5 × (33)²] / 22
or, F = 74.25 N
So, 74.25 N much force the seat exert on Jeremiah at the bottom of the loop.
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an object moves with constant speed of 18.8 m/s on a circular track of radius 100 m. what is the magnitude of the object's centripetal acceleration?
The calculated answer is 5.31. For an object travelling at a constant speed, v, around a circle with radius, r, the value is given by a = v2/r.
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value. Additionally, we will confirm that the acceleration vector points in the direction of the circle's center. It is acceptable to assume that an object travelling in a circle at a constant speed is accelerating as a result of this. Because the velocity vector's direction is shifting, it is accelerating. A = v2/R.
speed= distance/ time
= 100/18.8
=5.31
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two identical cylinders, a and b, contain the same type of gas at the same pressure. cylinder a has twice as much gas as cylinder b. which is true?
If both of cylinders contains same type of gas at same pressure, then a)
([tex]T_A < T_B[/tex]). So, correct option is a.
Gas regulation condition for any gas is as per the following .
PV = n×R×T (defined for n moles of gas )
Let the Pressure , volume , temperature and mole of gas in chamber A be P,V
T₁ and 2n . Pressure , volume , temperature and mole in chamber B will be
P , V , T₂ and n.
Applying Gas regulations , we get
For gas in chamber A
PV = 2n R T₁
For gas in chamber B
PV = n R T₂
Likening these conditions , we get
2n R T₁ = n R T₂
2 T₁ = T₂
or we can say that 2[tex]T_A[/tex]=[tex]T_B[/tex]
Hence, option a is correct.
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(Complete question) is:
Two identical cylinders, A and B, contain the same type of gas at the same pressure. Cylinder A has twice as much gas as cylinder B. Which is true? Two identical cylinders, A and B, contain the same type of gas at the same pressure. Cylinder A has twice as much gas as cylinder B. Which is true?
a)TA < TB
b)TA >TB
c) TA = TB
d)Not enough information to make a comparison.
a 575 kg satellite is in a circular orbit at an altitude of 525 km above the earth's surface. because of air friction, the satellite eventually falls to the earth's surface, where it hits the ground with a speed of 2.20 km/s. how much energy was transformed into internal energy due to air friction?
Energy transformed into internal energy due to air friction is found to be 1.799 ×10¹⁰ J.
This question can be solved by the use of work energy theorem.
According to work energy theorem the work done by all the forces is equal to the change in kinetic energy of the system.
Given, mass of satellite m= 575 kg
distance of satellite from earth's surface (h)= 525 km
final velocity of the satellite [tex]v_{f}[/tex]= 2.20 km/s= 2.20×10³ m/s
We know that mass of sun M =6ˣ10²⁴ kg
Radius of earth R= 64ˣ10⁵ m
The total energy of satellite when in orbit is given by [tex]E= -G\frac{Mm}{2r}[/tex]
Here G is the gravitational constant= 6.67430×10⁻¹¹ m³kg⁻¹s⁻²
r= R+h= 6925000m
On putting all the values and solving we get
E= -1.661ˣ10¹⁰ J (This is the initial energy when the satellite was orbiting sun)
According to question the satellite hits the earth surface with [tex]v_{f}[/tex]= 2.20 km/s= 2.20×10³ m/s.
So, the gravitational potential energy is given by [tex]U= -G\frac{Mm}{R}[/tex]
On putting the values and solving we get U= -3.59×10¹⁰ J
The satellite will also have kinetic energy when it hits the surface given by K.E= [tex]\frac{1}{2}mv^{2}[/tex]
On putting the values and solving we get K.E= 0.13×10¹⁰ J
Total energy (T.E) of the satellite when it hits the ground is the sum of kinetic energy and potential energy
T.E= K.E+U= -3.46×10¹⁰ J
The energy which was transferred into internal energy due to the air friction is the difference of the total initial energy (E) and total final energy (T.E)
Internal energy= E- T.E
= (-1.661+3.46)×10¹⁰ J
=1.799 ×10¹⁰ J
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how do the escape speeds for two rockets, the first weighing 20 n and the second weighing 20,000 n compare?
Escape velocity doesn't depends on the weight of a rocket.So, The escape velocity for the lighter rocket is the same as that for the heavier rocket.
Velocity:
Velocity is the primary measure of object position and velocity. It can be defined as the distance traveled by an object in unit time. Velocity can be defined as the displacement of an object in unit time.
Speed:
The rate of change of the object's position in any direction. Velocity is measured as the ratio of distance traveled and time traveled. Velocity is a scalar quantity because it has only direction and not magnitude.
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A proton follows the path shown in (Figure 1). Its initial speed is v0 = 2.2×106 m/s.What is the proton's speed as it passes through point P?Express your answer to two significant figures and include the appropriate units.
The proton's speed as it passes through point P is 1.6×10⁶ m/s.
The proton's speed at point P can be determined by the equation:
KE = PE + ( mv²/2 )
where,
KE= kinetic energy
PE = potential energy
m = mass of the proton
v = speed of the proton.
Given
Proton's initial speed is v₀ = 2.2×10⁶ m/s
By putting the values in the question the solution is as follows so as the Proton's speed at point P can be calculated as:
v = √(2KE/m)
= √(2 ×2.2 × 10⁶ m/s² / 1.67 × 10⁻²⁷ kg)
= 1.6 × 10⁶ m/s
Therefore, the proton's speed as it passes through point P is 1.6×10⁶ m/s.
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in bohr’s model, the energy of a photon absorbed or emitted by the electron will be equal to:
in Bohr’s model, the energy of a photon absorbed or emitted by the electron will be equal to "The difference in orbital energies associated with the transition".
The Bohr model, also known as the Rutherford-Bohr model, was first proposed by Niels Bohr and Ernest Rutherford in 1913 and describes an atomic system with an orbiting system of electrons and a small, dense nucleus that is similar to the Solar System in structure but is attracted by electrostatic forces rather than gravity.
Bohr's model helped to explain how electrons could only change orbits by exchanging or absorbing energy in fixed quanta. For instance, if an electron jumps into an orbit that is one orbit closer to the nucleus, it will have to expel energy equal to the energy difference between the two orbits.
The energy of energy level is connected to the energy photon that an electron absorbs or emits.
∆E = hf, where f is the frequency of radiation received or released during the electronic transition and h is the plank constant
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true or false: for a star moving away from you, you would observe the light to be shifted toward the blue end of the spectrum.
The given statement that a star moving away from us, we observe the light to be shiftest towards the blue end of spectrum is a false statement.
This phenomenon is called doppler effect. Doppler effect of light can be described as the apparent change in the frequency of the light observed by the observer due to relative motion between the source of light and the observer
In the given situation, the source of the waves is the star, which emits light (the waves). The observer is on Earth, and the star (the source of the waves) is moving away from the observer, so, wavelength of the light observed by us is shifted with respect to the original wavelength of the light emitted by the star.
when the star moves away, the wavelength increases, so it shift towards the red end of spectrum. This effect is called red-shifted.
In the given case, the star is moving away from us, so light will shift towards red end of spectrum.hence, The given statement is false.
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Degeneracy pressure stops the crush of gravity in all the following except:_____.A) a brown dwarf.
B) a white dwarf.
C) a neutron star.
D) a very massive main-sequence star.
E) the central core of the Sun after hydrogen fusion ceases but before helium fusion begins.
Degeneracy pressure stops the crush of gravity in all the following except a brown dwarf. The correct option is a.
What is Degeneracy pressure?Electron degeneracy pressure is a subset of the broader phenomenon of quantum degeneracy pressure.
The Pauli exclusion principle prevents two identical half-integer spin particles from occupying the same quantum state at the same time.
Electron degeneracy pressure, in particular, is what protects white dwarfs from gravitational collapse, as well as the Chandrasekhar limit (the maximum mass a white dwarf can attain) arises naturally as a result of electron degeneracy physics.
Thus, the correct option is a.
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