Explanation:
\(p1 \times v1 = p2 \times v2 \)
\(p1 = initial \: pressure \\ v1 = initial \: volume \\ p2 = final \: pressure \\ v2 = final \: volume\)
You're looking for p2. So, divide both sides by v2...
\( \frac{p1 \times v1}{v2} = p2\)
volume of a cylinder is
\(h \times \pi \: \times {r}^{2} \)
let's assume r = 1
\( \frac{p1 \times (20cm \times \pi)}{(60cm \times \pi)} = p2\)
the Pi's cancel out, the 20/60 can be reduced to 1/3.
So you end up with
\(p1 \times \frac{1}{3} = p2\)
or as the book shows....
\( \frac{1}{3} p\)
The force that a moving object has which is dependent on the speed and weight of the object is?
The force that a moving object has which is dependent on the speed and weight of the object is Momentum
The product of an object's mass and velocity is known as its linear momentum, translational momentum, or simply momentum in Newtonian physics. It has both a magnitude and a direction, making it a vector quantity. When an object has a mass of m and a speed of v, its momentum, p, is equal to ma. Its SI Unit is Kgm/s
The speed of a body is defined as the rate at which the position of a body changes per unit of time. Its SI unit is m/s.
Weight is defined as the amount of force, in general, it's the gravitational force, which acts on the body. It is measured in Kilogram (kg).
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You drop a rock down a well that is 31 m deep. How long does it take the rock
to hit the bottom of the well?
A. 1.9 s
B. 2.7 s
C. 6.3 s
D. 2.5 s
Displacement a combination of
Answer:
Displacement a combination of distance
Explanation:
I'm not sure eh
Mr b Kayla and gabby are working out to get fit fr the summer Mr b is using a barbell that weighs 50kg and lifts it a distance of 4 meters. Kayla is using a barbell that weighs 45kg and lifts it a distance of 7 meters and gaby is using a barbell that weighs 47kg and lifts it a distance of 8m who is working the hardest
This question involves the concepts of potential energy and work.
"Mr. Gabby" is working the hardest.
Who is working the hardest?In this case, the work done by each person is equal to the potential energy produced by raising the barbell.
\(W = P.E=mgh\)
where,
W = work done m = mass of barbellg = acceleration due to gravity = 9.81 m/s²h = height raisedFor Mr. bm = 50 kgh = 4 mTherefore,
\(W=(50\ kg)(9.81\ m/s^2)(4\ m)\\W=1962\ J\)
For Mr. Kaylam = 45 kgh = 7 m
Therefore,
\(W=(45\ kg)(9.81\ m/s^2)(7\ m)\\W=3090.15\ J\)
For Mr. Gabbym = 47 kgh = 8 mTherefore,
\(W=(47\ kg)(9.81\ m/s^2)(8\ m)\\W=3688.56\ J\)
It is clear that most work is done by Mr. Gabby.
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Calculate the acceleration if you push with a 6 N horizontal force on a 8 kg block on a
horizontal friction free air table.
who organized the modern periodic table?
A) Dalton
B) Mendeleev
C) Rutherford
D) Thomas
Answer:
Mendeleev
Explanation:
He discovered the periodic table trying to organize the elements in 1869
How would gravity cause planets to move if they did not have inertia?
A. Planets would orbit Jupiter, the largest planet
B. Planets would run into one another
C. Planets would be pulled into the sun
D. Planets would move in a straight line away from the sun
Answer: Planets would be pulled into the sun
Explanation:
This is the correct answer.
PLS FAST WILL GIVE BRAINLIEST Describe why atoms can be neutral when they contain charged subatomic particles.
Answer:
Atoms are neutral if they have the same number of charged protons and electrons, balancing positive and negative charges. As long as the numbers of electron and protons are the same, the charges will balance.
A 45kg sled is being pulled from camp by 5 dogs each capable of exerting 25N force on the sled. If the sled starts from rest and the frozen ground exerts 15N of friction, how far will the sled be from the camp after 7s?
Answer:
58.8m
Explanation:
In order to distinguish between wavelengths independent of light intensity, one must have at least?
One must have at least two visual pigments to distinguish between wavelengths independent of light intensity.
A substance that converts light energy into electrical potentials is called a visual pigment.
The basic structure of pigment consists of the chromophore, a colored molecule, and a protein called rhodopsin.
There are three types of visual pigments: Scotopsin, rhodopsins, and photopsin.
Scotopsin pigments are associated with vision and operate in less bright light while photopsin operates in a brighter light.
However, visual pigments are very significant substances as they are associated with vision and play a vital role in detecting wavelengths of light.
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The Sun does not expand or contract because it is in a state of
A. Galilean equilibrium. That is to say the sunspots Galileo observed dictate the Sun's static nature.
B. coronal equilibrium. That is to say the surface of the Sun does not exhibit coronal mass ejections.
C. hydrostatic equilibrium. That is to say the inward force of gravity is balance by the outward pressure from nuclear fusion.
The Sun does not expand or contract because it is in a state of hydrostatic equilibrium. That is to say, the inward force of gravity is balanced by the outward pressure from nuclear fusion. The correct answer is option C.
Hydrostatic equilibrium refers to the balancing of the inward force of gravity and the outward force of radiation pressure (or thermal pressure) in stars. The energy emitted by a star comes from the nuclear reactions that occur in its core. These reactions create an enormous amount of energy in the form of light and heat, which is carried outward to the star's surface. The heat and light create a pressure that acts to push outward on the star's matter. At the same time, the star's mass creates a force of gravity that pulls inward. The balance between these two forces is called hydrostatic equilibrium.
Hydrostatic equilibrium is essential for stars to maintain a stable size and shape. When a star is in hydrostatic equilibrium, the inward force of gravity is balanced by the outward pressure from nuclear fusion. If this balance were upset, the star would either collapse under its own gravity or expand outwards, both of which would lead to catastrophic consequences.
Therefore, the concept of hydrostatic equilibrium is critical to our understanding of how stars evolve and the role they play in shaping our universe.
Therefore, the correct answer is option C.
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The previous value of a portfolio that must be reattained before a hedge fund can charge incentive fees is known as a:________
a. low water mark.
b. water mark.
c. benchmark.
d. high water mark.
The previous value of a portfolio that must be reattained before a hedge fund can charge incentive fees is known as a high watermark.
In the context of hedge funds, incentive fees are performance-based fees charged by fund managers. These fees are typically calculated as a percentage of the fund's profits above a certain threshold. The high water mark is an important concept that determines when incentive fees can be charged.
The high water mark refers to the highest previous value of the portfolio that has been achieved. It represents the peak value that the portfolio has reached in the past. In order for a hedge fund to charge incentive fees, the current value of the portfolio must exceed this high water mark. This ensures that investors are only paying fees on the profits made by the fund manager after surpassing previous performance levels.
By using the high water mark, hedge funds align their interests with those of the investors. Fund managers are incentivized to generate positive returns and recoup any losses before charging performance-based fees. This mechanism helps protect investors from paying fees on underperforming periods and encourages fund managers to focus on achieving new highs in portfolio value.
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A particle moves along the x axis so that at any time t≥0, its position is given by x(t)=t3−12t2+36 . For what values of t is the particle at rest?
A. No values
B. 3 only
C. 6 only
D. 2 and 6
The particle is at rest when its velocity is zero, which occurs at t = 2 and t = 6.
To determine when the particle is at rest, we need to find when its velocity is zero.
We can find the velocity function by taking the derivative of the position function with respect to time:
v(t) = \(3t^2\) - 24t. Setting v(t) = 0, we can factor out a common factor of 3t: 3t(t - 8) = 0.
Thus, the particle is at rest when t = 0 (at the starting point), t = 2 (when the particle changes direction),
and t = 8 (when the particle reaches its maximum position).
However, t = 0 is not an answer choice, so the correct answer is D,
which includes t = 2 and t = 6 (when the particle is momentarily at rest).
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The particle is at rest when its velocity is zero.The particle is at rest at t = 0 and t = 8. However, since the question only asks for values of t for t≥0, the only valid answer is t = 8. Therefore, the answer is C. 6 only.
To determine when the particle is at rest, we need to find when its velocity is equal to zero. We can find the velocity function by taking the derivative of the position function:
x'(t) = 3t^2 - 24t
Setting this equal to zero and solving for t, we get:
3t^2 - 24t = 0
3t(t - 8) = 0
t = 0 or t = 8
Therefore, the particle is at rest at t = 0 and t = 8. However, since the question only asks for values of t for t≥0, the only valid answer is t = 8. Therefore, the answer is C. 6 only.
The particle is at rest when its velocity is zero. To find the velocity function, v(t), we differentiate the position function, x(t), with respect to time t.
x(t) = t^3 - 12t^2 + 36
v(t) = dx/dt = 3t^2 - 24t
Now, we need to find the values of t when v(t) = 0.
3t^2 - 24t = 0
t(3t - 24) = 0
This equation has two solutions: t = 0 and t = 8.
However, the question asks for the values of t when the particle is at rest and t ≥ 0. Thus, the particle is at rest for values of t = 0 and t = 8.
Since these values are not included in the given options A, B, C, or D, the correct answer is not listed.
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Two mechanical waves are traveling through the same medium, and Wave X has an amplitude of 2 cm and Wave Y has an amplitude of 3 cm.How do the two waves' speeds compare?A. Wave X has a greater speed. B. Wave Y has a greater speed. C. Wave X and Wave Y share the same speed. D. The speed of the waves is impossible to compare without more data.Part 2Which best explains the correct answer to Part 1?A. The speed of a wave is always constant. B. The speed of a wave is directly proportional to its amplitude.C. The speed of a wave is determined by its wavelength and frequency.D. The speed of a wave is affected by the properties of the medium it is traveling through, not amplitude.
ANSWER:
1. C. Wave X and Wave Y share the same speed.
2. D. The speed of a wave is affected by the properties of the medium it is traveling through, not amplitude.
STEP-BY-STEP EXPLANATION:
The amplitude of a wave does not affect the speed at which the wave travels. Both wave A and wave B travel at the same speed. The speed of a wave is only altered by alterations in the properties of the medium through which it travels.
Therefore, in the first art the correct answer is C. Wave X and Wave Y share the same speed.
If the medium is uniform (does not change), the speed of the wave will be constant.
Therefore, the correct answer is: D. The speed of a wave is affected by the properties of the medium it is traveling through, not amplitude.
1. During the experiment with the hot metal block in cold water, in which direction did the thermal energy flow? By what method did the energy
flow?
1
When there is a temperature difference/Gradient, heat flows from a region of high concentration to region of low concentration.
Energy and Heat/Mass TransferThermal energy flow from region of higher temperature gradient to region of low temperature gradient till equilibrium is reached.
When the hot metal is places in a cold water bath, there will be a temperature difference and by conduction(water conducts heat) the heat will travel in the water medium and circulate till equilibrium
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a mirror produces an image that is inverted and twice as tall as the object. if the image is 60 cm from the mirror, what is the radius of curvature of the mirror?
The radius of curvature of the mirror is 40 cm.
In this case, the mirror produces an inverted image, which means it is a concave mirror. We are given the object distance (u), image distance (v), and magnification (M). The magnification is -2, as the image is twice as tall and inverted. The mirror formula for concave mirrors is:
1/f = 1/u + 1/v
We can find the focal length (f) using the magnification formula:
M = -v/u
By solving for v, we get:
v = -2u
Now, we can substitute this value back into the mirror formula:
1/f = 1/u - 1/(2u)
Since the image is 60 cm from the mirror:
1/f = 1/60 - 1/(2 * 60)
1/f = 1/60 - 1/120
1/f = 2/120 - 1/120
1/f = 1/120
Thus, the focal length (f) is 60 cm / 2 = 30 cm
The radius of curvature (R) is twice the focal length:
R = 2 * f = 2 * 30 = 40 cm
Summary: The radius of curvature of the mirror is 40 cm.
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What is required to complete an electric circuit
Answer:
A supply of electric charges (electrons) which are free to flow, some form of push to move the charges through the circuit and a pathway to carry the charges.
Explanation:
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how much work is done per cycle if the engine's thermal efficiency is 40.0 % ? give your answer in kj
When it comes to a heat engine, how much work is done per cycle if the engine's thermal efficiency is 40.0 %?To calculate the amount of work done per cycle by a heat engine, the Carnot efficiency formula may be used, which is given as:η = 1 - T2/T1whereη: Thermal efficiency, T1
Temperature at which heat is added, and T2: Temperature at which heat is rejected.The Carnot cycle is an idealized thermodynamic cycle that includes four distinct steps :isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression. The work produced per cycle by the engine is the difference between the heat absorbed during the isothermal expansion and the heat rejected during the isothermal compression.To calculate the amount of work done per cycle, we'll start with the equation:η = 1 - T2/T1whereη = 0.40 (Given), andT2/T1 = (100 + 15) / (100 + 815) = 115 / 915 = 0.1253, which was converted to a percentage by multiplying by 100.ΔT = T1 - T2 = 815 – 15 = 800 KQH = QL / η = W = QL – QH = QL (1- η)Since QH = QL + W, the above equation becomesQL(1 – η) = QL + WSubstituting values,QH = (QL) [1 / (1 – η)]QL (1 – 0.40) = QL + WQL(0.60) = QL + W0.60QL = QL + WThus, W = 0.60QLThe amount of work done per cycle if the engine's thermal efficiency is 40.0 % is 60% of the heat absorbed during isothermal expansion.for more such question on thermodynamic
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Which is an example of potential energy being transformed into kinetic energy?
A. A rock sitting at the top of a hill rolling down the hill.
B. A rock sitting at the top of a hill without moving.
C. A rock at the bottom of a hill being pushed up the hill.
D. A rock sitting at the bottom of the hill without moving.
Answer:
B is the right answer
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Which of galileo’s astronomical observations were best explained by a heliocentric model?.
Galileo’s astronomical observations that were best explained by a heliocentric model is "The phases of Venus can only occur the way they do if Venus is orbiting the Sun".
What about the heliocentric model was accurate?
Instead of Earth, as was previously thought to be the case according to the geocentric model, the heliocentric concept puts the Sun at the core of the solar system. Our increased grasp of astronomy was built on this advancement, which brought us closer to the true nature of the solar system and the universe.
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the normal boiling point of liquid w is lower than that of x, which is lower than that of y. which of the following is the correct order of increasing vapor pressure of the three liquids at stp?'
Increasing vapor pressure of the three liquids at stp Z, Y, X.
The pressure that a vapour exerts on its condensed phases (solid or liquid) in a closed system at a specific temperature is referred to as the equilibrium vapour pressure (or vapour pressure in English-speaking nations other than the US; see spelling variations). An indicator of a liquid's evaporation rate is the equilibrium vapour pressure. It has to do with how easily liquid-borne particles tend to elude detection (or a solid). Volatile is a term used to describe a chemical that, at room temperature, has a high vapour pressure. Vapor pressure is the force that a vapour cloud exerts over a liquid surface. The kinetic energy of a liquid's molecules increases along with the temperature.
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tyrell is playing marbles with his younger sister. a 6.63-g marble moving at 1.41 m/s has a head-on collision with a 2.86-g marble, initially at rest on the playing surface. the post-collision speed of the 6.63-g marble is 0.86 m/s. what is the speed (in m/s) of 2.86-g marble after the collision?
The speed of the 2.86 g marble after the collision is 1.05 m/s.
We can use the conservation of momentum to solve this problem:
Before the collision:
m1 = 6.63 g = 0.00663 kg (mass of the first marble)
v1 = 1.41 m/s (velocity of the first marble)
m2 = 2.86 g = 0.00286 kg (mass of the second marble)
v2 = 0 m/s (initial velocity of the second marble)
After the collision:
v1' = 0.86 m/s (final velocity of the first marble)
v2' = ? (final velocity of the second marble)
Using conservation of momentum:
\(m1v1 + m2v2 = m1v1' + m2v2'\)
Substituting the known values:
\(0.00663 kg * 1.41 m/s + 0.00286 kg * 0 m/s = 0.00663 kg * 0.86 m/s + 0.00286 kg * v2'\)
Solving for v2':
\(v2' = (0.00663 kg * 1.41 m/s - 0.00663 kg * 0.86 m/s) / 0.00286 kgv2' = 1.05 m/s\)
Therefore, the speed of the 2.86 g marble after the collision is 1.05 m/s.
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A car traveling initially at the speed of 30 m/s slows down at the rate of -2m/s^2 for a distance of 60 meters. What is the car’s velocity after covering this distance?
Answer:
Vf = 25.7 [m/s]
Explanation:
To solve this problem we must use the following kinematics equation:
\(v_{f} ^{2}= v_{i} ^{2}-(2*a*x)\)
where:
Vf = final velocity [m/s]
Vi = initial velocity = 30 [m/s]
a = desacceleration = 2 [m/s^2]
x = distance = 60 [m]
Note: the negative sign in the equation means that the car slows down.
Now replacing:
\(v_{f}^{2}=(30)^{2}-(2*2*60)\\ v_{f}^{2} = 660\\v_{f} =\sqrt{660} \\v_{f}=25.7[m/s]\)
In physics, the displacement of a moving body represents its change in position over time while accelerating. - Given initial velocity Vo in m/s, acceleration a in m/s2, and elapsed time t in s, the displacement of the body is: - Displacement = Vot+ 1/2 at2 Write a method displacement that accepts Vo, a, and t and computes and returns the change in position. - example: displacement (3.0, 4.0, 5.0) returns 65. 0 22
The method "displacement" calculates and returns the change in position of a moving body with initial velocity (Vo), acceleration (a), and elapsed time (t) using the formula: Displacement = Vot + 1/2 at^2.
The displacement of a moving body can be determined using the equation: Displacement = Vot + 1/2 at^2. Here's a step-by-step explanation of how to compute the change in position:
Begin by multiplying the initial velocity (Vo) by the elapsed time (t): Vot.
Next, calculate the term 1/2 at^2 by multiplying the acceleration (a) by half of the square of the elapsed time: (1/2) * a * t^2.
Add the two computed values together: Vot + (1/2) * a * t^2.
The resulting value is the displacement, representing the change in the position of the body over time while accelerating.
For example, let's consider the input values Vo = 3.0 m/s, a = 4.0 m/s^2, and t = 5.0 s:
Displacement = (3.0 * 5.0) + (1/2 * 4.0 * 5.0^2)
= 15.0 + (1/2 * 4.0 * 25.0)
= 15.0 + (2.0 * 25.0)
= 15.0 + 50.0
= 65.0 m.
Therefore, for the given example, the displacement of the moving body is 65.0 meters.
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A block on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 30 N / m . The other end of the spring is attached to a wall , and there is negligible friction between the block and the horizontal surface The block - spring system experiences simple harmonic motion , as shown in the graph ?
One lap of a racetrack is equal to 1 . A runner completes 15 laps in an hour. What is his speed and
velocity?
Speed:-
\(\\ \tt\hookrightarrow \dfrac{Distance}{Time}\)
\(\\ \tt\hookrightarrow \dfrac{15}{1}=15km/h\)
Velocity:-
\(\\ \tt\hookrightarrow Displacement/Time \)
\(\\ \tt\hookrightarrow 0/1=0km/h\)
ram takes 2 minutes to cover a distance of 600 meter. calculate his speed
Dos masas de 8kg es tan unidas en el extremo de una varilla de aluminio de 400mm de longitud. La varilla está sostenida en su parte media hora en círculos y solo puede soportar una tensión máxima de 800 N ¿cuál es la frecuencia máxima de revolución
Answer:
The maximum frequency of revolution is 3.6 Hz.
Explanation:
Given that,
Mass = 8 kg
Distance = 400 mm
Tension = 800 N
We need to calculate the velocity
Using centripetal force
\(F=\dfrac{mv^2}{r}\)
Where, F= tension
m = mass
v= velocity
r = radius of circle
Put the value into the formula
\(800=\dfrac{8\times v^2}{200\times10^{-3}}\)
\(v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}\)
\(v=4.47\ m/s\)
We need to calculate the maximum frequency of revolution
Using formula of frequency
\(f=\dfrac{v}{2\pi r}\)
Put the value into the formula
\(f=\dfrac{4.47}{2\pi\times200\times10^{-3}}\)
\(f=3.6\ Hz\)
Hence, The maximum frequency of revolution is 3.6 Hz.
A balloon is partially inflated and sealed. A number of weights are attached to the balloon such that it is neutrally buoyant when submerged at a certain depth in a beaker of water. Describe the motion of the balloon, if you push the balloon down to a greater depth and release it. Explain.
This motion of the balloon is an example of buoyancy, which is the upward force exerted by a fluid on an object immersed in it.
Example of buoyancy motionWhen the balloon is neutrally buoyant, it means that the weight of the balloon and the weights attached to it is equal to the weight of the water displaced by the balloon.
If you push the balloon down to a greater depth and then release it, the balloon will rise back up to its original position.
This is because the balloon is still partially inflated and contains air, which is less dense than water. When you push the balloon down, the water pressure compresses the air in the balloon, causing it to become smaller in size.
When you release the balloon, the compressed air expands and pushes the balloon upwards towards the surface of the water.
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Consider a proton and an electron placed near one another with no other objects close by. They would accelerate away from each other. remain motionless. move away from each other at constant speed. accelerate toward each other. > Moving to another question will save this response.
The proton and electron, being opposite charges, would accelerate toward each other. Thus, 3rd option is correct.
How to determine force between two charged particles?
According to Coulomb's law, the force between two charged particles is given by:
F = (k * |q₁ * q₂|) / r²
where F is the force between the particles, k is the electrostatic constant, q₁ and q₂ are the magnitudes of the charges of the particles (in this case, the charge of the proton and the charge of the electron), and r is the distance between the particles.
In the case of a proton and an electron, the proton has a positive charge (+e) and the electron has a negative charge (-e), where e is the elementary charge. Since the charges are opposite in sign, the product q₁ * q₂ is negative.
Therefore, the force between the proton and the electron is attractive, causing them to accelerate toward each other. This acceleration will continue until they collide or until external factors come into play (such as the presence of other particles or forces) that may alter their motion.
It's important to note that in a typical atomic or molecular system, electrons are usually bound to nuclei due to the attractive electrostatic forces between them. However, if an electron and a proton are initially separated and have no other influences, they will accelerate toward each other due to their opposite charges.
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