Answer:
1) Skis have a large area to reduce the pressure on the snow. This ensures that the skis do not sink into the snow too far.
2) The pressure under the studs on the soles of football shoes is high enough for them to sink into the ground, which gives extra grip.
3) A vacuum cleaner has a fan inside that creates a low pressure inside the device. Consequently, air and dirt particles are sucked into the device.
all millisecond pulsars are now, or once were, members of binary-star systems.
a. true
b. false
All millisecond pulsars are now, or once were, members of binary-star systems. This statement is option a. true
Millisecond pulsars are now, or once were, members of binary-star systems. They are highly-magnetized, fast-spinning neutron stars formed through the transfer of mass from a companion star in a binary system. This transfer of mass leads to an increase in the pulsar's rotation speed, resulting in very rapid rotation periods, typically in the range of milliseconds.
Highly magnetised neutron stars known as pulsars produce electromagnetic radiation beams along their magnetic axes as they rotate. They were initially believed to be artificial signals from extraterrestrial intelligence when they were first found in 1967 by Jocelyn Bell Burnell and Antony Hewish. Pulsars can rotate up to several hundred times per second and release radiation at a variety of wavelengths, including radio waves and gamma rays. A number of astrophysical phenomena, including the behaviour of matter under extreme circumstances, the workings of gravity, and the makeup of the Milky Way galaxy, can be studied using the radiation emitted by pulsars.
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how to write it in second?
Answer:
like this
Explanation:
The International Energy Agency defines energy access to include all of the following EXCEPT A first connection to electricity An increasing level of electricity consumption over time Access to clean cooking facilities Access to motorized transportation Question Adoption of a cookstove intervention in rural Bangladesh is extremely low. As a consultant to the UN, you are asked for your opinion on why this occurred. Which of the following is/are a plausible explanation(s)? The technology was not well maintained by users All of these answers are correct The stoves failed to take into account regional cooking preferences The stoves failed to take into account regional cooking preferences The chosen stove was too complicated for less well-educated users
The correct answer is: All of these answers are correct.
All the provided explanations can be plausible reasons for the low adoption of a cookstove intervention in rural Bangladesh. It is important to consider factors such as technology maintenance, regional cooking preferences, and the suitability of the chosen stove for the user's level of education.
All of these factors can significantly impact the acceptance and adoption of a new cooking technology.It would hinder their ability to effectively use and benefit from the intervention.
Considering these factors collectively provides insight into why the adoption rate remained low. Addressing these issues is crucial to improving the acceptance and success of cookstove interventions in rural communities.
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Which of these is most likely to be a centrifugal force within the EU in the future?
Among the given options, cultural differences are most likely to be the centrifugal force within the EU in the future. The EU is a political and economic union of 27 member states, and cultural differences among its member states have always been present.
With the increasing number of immigrants from different parts of the world, the cultural differences among EU member states are becoming more prominent. Each member state has its unique language, history, customs, and traditions, which can create misunderstandings and conflicts among the member states.
The EU aims to promote unity and solidarity among its member states, but cultural differences can lead to a lack of understanding and trust between them. The EU's diverse cultural heritage is both a strength and a challenge for the union. The EU needs to find a way to respect the cultural diversity of its member states while maintaining its unity.
However, the cultural differences among the member states can still cause tensions and conflicts in the future. Therefore, it is crucial for the EU to continue to foster cultural awareness and understanding among its member states to maintain the union's cohesion and stability.
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complete question:
Which of these is most likely to be a centrifugal force within the EU in the future?
a. trade barriers
b. closed borders
c. pollution problems
d. cultural differences
Explain results here. do x and y satisfy the equation of a circle? why or why not? how does the vector output at the end confirm your answer?
The general equation of a circle in Cartesian coordinates is given by:
\((x - h)^2 + (y - k)^2 = r^2,\)
where (h, k) represents the coordinates of the center of the circle, and r represents the radius. Without the specific equation, we cannot determine if x and y satisfy it.
A circle is a two-dimensional geometric shape that is perfectly round and symmetrical. It is defined as a set of points that are equidistant from a central point called the center. The distance from the center to any point on the circle is called the radius, and it is the same for all points on the circle.
A circle is often represented by the symbol "⚪" or by writing its name. It is a fundamental concept in geometry and mathematics, and it has numerous properties and applications in various fields.
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Suppose you are asked to determine the perimeter of a seven-sided irregular figure. You make the following measurements:
Side 1 = 3.2 m
Side 2 = 4.8 m
Side 3 = 2.000 m
Side 4 = 8.94 m
Side 5 = 11 m
Side 6 = 7.566 m
Side 7 = 4.0 m
How many significant figures should there be in your calculation for the perimeter?
The number of significant figures in the calculation for the perimeter should match the least number of significant figures among the measurements, which is 2. Therefore, the calculation for the perimeter should be reported with 2 significant figures.
When performing calculations, it is important to consider the rules of significant figures. The rule states that the result of a calculation should be rounded to match the least number of significant figures in the given measurements.
In the given measurements, the least number of significant figures is 2, which is found in Side 3 (2.000 m). Therefore, when calculating the perimeter of the seven-sided figure, the result should be rounded to 2 significant figures.
For example, if the calculated perimeter is 41.756 meters, it should be rounded to 42 meters since 2 is the least number of significant figures. This ensures that the result aligns with the precision of the measurements provided.
By adhering to the rules of significant figures, we can maintain consistency and accuracy in our calculations and ensure that the level of precision is appropriate for the given data.
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A ball in launched upward with a speed of 30 m/s, what is its speed 5 seconds later?
Answer:
falling 49m a second
Explanation:
1. A 2.5 kg led projector is launched as a projectile off a tall building. At one point, as it
is flying through the air it has a velocity of 24 m/s and a height of 14 m.
a) Find the potential energy
b) Find the kinetic energy
c) Find the total mechanical energy
d) Find the potential energy at a height of 8.7 m
e) Find the kinetic energy at that same height. (Hint – the total energy is always the same
as in part c)
f) Find the velocity at that height
g) Find the velocity at a height of 11.6 m
h) At what height would the velocity be 26 m/s?
i) What is the velocity just before it smashes into the ground?
See
Answer:
Explanation:
I got everything but i. Don't know why but it's eluding me. So let's do everything but that.
a. PE = mgh so
PE = (2.5)(98)(14) and
PE = 340 J
b. \(KE=\frac{1}{2}mv^2\) so
\(KE=\frac{1}{2}(2.5)(14)^2\) and
KE = 250 J
c. TE = KE + PE so
TE = 340 + 250 and
TE = 590 J
d. PE at 8.7 m:
PE = (2.5)(9.8)(8.7) and
PE = 210 J
e. The KE at the same height:
TE = KE + PE and
590 = KE + 210 so
KE = 380 J
f. The velocity at that height:
\(380=\frac{1}{2}(2.5)v^2\) and
\(v=\sqrt{\frac{2(380)}{2.5} }\) so
v = 17 m/s
g. The velocity at a height of 11.6 m (these get a bit more involed as we move forward!). First we need to find the PE at that height and then use it in the TE equation to solve for KE, then use the value for KE in the KE equation to solve for velocity:
590 = KE + PE and
PE = (2.5)(9.8)(11.6) so
PE = 280 then
590 = KE + 280 so
KE = 310 then
\(310=\frac{1}{2}(2.5)v^2\) and
\(v=\sqrt{\frac{2(310)}{2.5} }\) so
v = 16 m/s
h. This one is a one-dimensional problem not using the TE. This one uses parabolic motion equations. We know that the initial velocity of this object was 0 since it started from the launcher. That allows us to find the time at which the object was at a velocity of 26 m/s. Let's do that first:
\(v=v_0+at\) and
26 = 0 + 9.8t and
26 = 9.8t so the time at 26 m/s is
t = 2.7 seconds. Now we use that in the equation for displacement:
Δx = \(v_0t+\frac{1}{2}at^2\) and filling in the time the object was at 26 m/s:
Δx = 0t + \(\frac{1}{2}(-9.8)2.7)^2\) so
Δx = 36 m
i. ??? In order to find the velocity at which the object hits the ground we would need to know the initial height so we could find the time it takes to hit the ground, and then from there, sub all that in to find final velocity. In my estimations, we have 2 unknowns and I can't seem to see my way around that connundrum.
The pulse of sound hits a stationary object and is reflected back to the bat. The pulse is received by the bat 0.12s after it was emitted. Calculate the distance travelled by the pulse of sound during this time.
Answer:
41.52 m
Explanation:
Using,
v = d/t....................... Equation 1
v = speed of pulse of sound, d = distance travelled by the pulse of sound, t = total time taken.
From equation 1, make d the subject of the equation
d = vt............................ Equation 2
Given: t = 0.12 s.
Constant: v = 346 m/s
Susbtitute these values into equation 2
d = 346(0.12)
d = 41.52 m
for a double-acting cylinder operating at one pressure, the force of extension will be than the force of retraction.
When a double-acting cylinder is operating at a single pressure, the force of extension will be equal to the force of retraction. This is because the cylinder has two ports that allow for pressure to be applied on both sides of the piston. As a result, the same amount of force is applied to extend and retract the piston.
However, there are certain factors that can affect the force of extension and retraction in a double-acting cylinder. These factors include the size of the piston, the pressure of the fluid, and the amount of friction in the cylinder. In some cases, the force of extension may be slightly greater than the force of retraction due to these factors.
It is important to note that the force of extension and retraction in a double-acting cylinder can be controlled by adjusting the pressure and flow of the fluid. This allows for precise control over the movement and force of the piston, making it an ideal choice for many applications in industries such as manufacturing, construction, and transportation.
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3 paragraphs about who Larry page was and what advancements he provided to the world
Larry Page, real name Lawrence Edward Page, is a computer scientist and entrepreneur from the United States who co-founded Goo-gle, one of the most well-known websites on the Internet, with Sergey Brin on March 26, 1973 in East Lansing, Michigan.
Larry Page was drawn to technology at a young age and worked toward his goals. His success is truly inspirational. In the dorms of their college, he and Sergey Brin founded Goo-gle and grew it into a multinational corporation. Working hard is the secret to success.The concept of deciphering the vast amount of data amassing on the Internet interested Brin and Page, who first met while graduate students at Stanford University. They started developing Backrub, an innovative form of search technology, from Page's dorm room at Stanford. a week ago.To know more about Larry Page
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The acceleration due to gravity at Earth’s surface is 9.8 m/s2. Approximately how far from the surface of Earth would an object need to be to experience half of that acceleration? The radius of Earth is 6,378,100 m, and the mass of Earth is 5.97*1024 kg.
Two identical particles have the same mass, and each holds a charge of 1,602*10-19C. What would the mass of each particle need to be for the ratio of the gravitational force to the electrostatic force of the particles to be 1?
Two identical charged objects exert an electrostatic force of 50 N onto each other when they are 125 km apart. What are the charges of the objects?
Two identical objects exert a gravitational force of -0.016 N onto each other when they are 0.25 cm apart. What is the mass of each object?
Answer:
1) 2,641,895.5 m
2) 1.85903476 × 10⁻⁹ kg
3) 9.32 C
4) 38.7 kg
Explanation:
1) The gravitational force of attraction between the object and the mass of the Earth is given by the following formula;
\(F} =G\dfrac{M_{1} \cdot m_{2}}{R^{2}} = m_2 \times g\)
Where;
M₁ = The mass of the Earth = 5.97 × 10²⁴
m₂ = The mass of the object
G = The universal gravitational constant
R = The radius of the Earth = 6,378,100 m
g = The acceleration due to gravity = 9.8 m/s²
By comparison, we have;
\(\dfrac{G \cdot M_{1}}{R^{2}} = g\)
When the object is r meters away, g is halved, therefore, we have;
\(\dfrac{G \cdot M_{1}}{r^{2}} = \dfrac{g}{2} =\dfrac{G \cdot M_{1}}{\left (2\times R^{2}\right )}\)
Therefore, r² = 2·R² = 2 × (6,378,100 m)² = 8.13603192 × 10¹³ m²
r = √(8.13603192 × 10¹³ m²) = 9019995.52217 m
The distance of the object from the surface of the Earth = 9,019,995.52217 - 6,378,100 = 2,641,895.52217 m ≈ 2,641,895.5 m
The object needs to be approximately 2,641,895.5 m from the Earth's surface to experience half of the acceleration due to gravity experienced on the Earth's surface
2) The electrostatic force between the charges = k×q²/r²
Where;
q = 1.602 × 10⁻¹⁹ C
r = Distance between the charges
k = Coulomb constant = 8.9875517923 × 10⁹ kg·m³·s⁻²·C⁻²
We have;
The electrostatic force between the charges = 8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²/r²
The gravitational force between the charges = 6.67408 × 10⁻¹¹ × m²/r²
Given that the ratio between the two forces = 1, we have;
(8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²/r²)/(6.67408 × 10⁻¹¹ × m²/r²) = 1
∴ m² = (8.9875517923 × 10⁹ × (1.602 × 10⁻¹⁹)²)/(6.67408 × 10⁻¹¹) = 3.4560102×10⁻¹⁸ kg²
The mass m = √(3.4560102×10⁻¹⁸ kg²) = 1.85903476 × 10⁻⁹ kg
The mass of each particle will be 1.85903476 × 10⁻⁹ kg
3) F = k×q²/r²
q² = F × r²/k
Which gives;
q² = 50 × 125000²/(8.9875517923 × 10⁹) ≈ 86.93 C²
q = √86.93 ≈ 9.32 C
The charges of each object = 9.32 C
4) \(F} =G\dfrac{m^2 }{r^{2}}\)
r = 0.25 cm = 0.0025 m
F = 0.016 N
G = 6.67408 × 10⁻¹¹ m³·kg⁻¹·s⁻²
Therefore;
m² = F·r²/G = 0.016 × (0.0025)²/(6.67408 × 10⁻¹¹) ≈ 1498.334 kg²
m = √(1498.334 kg²) ≈ 38.7 kg
The mass of each object = 38.7 kg.
The Coulomb and gravitational laws together with Newton's second law allow to find the results for the questions are:
1) The distance where the acceleration of gravity measures half its value on earth is; r’= 2.64 106 m
2) The mass of the particle is: m = 1.86 10-9 kg
3) The charge of the particles is: q = 9.32 C
4) The mass is: m = 38.7 kg
Part 1
The Universal Gravitational Law says that the force between two objects is proportional to their masses and inversely proportional to the square of their distance
F =\(-G \frac{Mm}{r^2}\)
Where F is the gravitational force, G the gravitational constant, M and m the mass of the two bodies and r the distance between them.
They ask to calculate the distance to the point where the acceleration is half that of the gravitation acceleration at the earth's surface.
a = g / 2
If we use Newton's second law that gives the relationship between the net force, the mass and the acceleration of the body.
F = m a
Let's substitute
\(-G \frac{Mm}{r^2} = m \frac{g}{2}\)
r² = \(\frac{2GM}{g}\)
Let's calculate
r² = \(\frac{2 \ 6.67 \ 10^{-11} \ 5.97 \ 10^{24} }{9.8}\)
r = \(\sqrt{81.360 \ 10^{12}}\)
r = 9.02 10⁶ m
This is the distance from the center of the earth, the distance measured from the surface of the planet is
r = R + r '
r ’= r- R
r ’= 9.02 10⁶ - 6.378 10⁶
r’= 2.64 10⁶ m
Part 2
Coulomb's law states that the electric force between two charged bodies is:
F = \(k \frac{q_1q_2}{r^2}\)
Where q₁ and q₂ are the charges of the leather and k is the Coulomb constant
They ask what mass the particles must have so that the electrostatic force (Fe) and the gravitational force (Fg) have been equal
Indicate the charges of the particles q₁ = q₂ = 1.602 10⁻¹⁹ C
Let's equalize the two forces
\(F_e = F_g \\k \frac{q_1q_2}{r^2} = G \frac{m_1m_2}{ r^2 } \\k q^2 = G m^2\)
\(m = \sqrt{\frac{k}{G} } \ q\)
m = \(\sqrt{\frac{8.99 \ 10^9 }{ 36.67 \ 10^{-11}} } \ 1.602 \ 10^{-19}\)
m = \(\sqrt{1.3478 \ 10^{20} } \ 1.602 \ 10^{-19}\)
m = 1.86 10⁻⁹ kg
Part 3
They indicate that the electrostatic force between two objects is F = 50 N and the distance between them is r = 125 km = 125 103 m, they ask what is the charge of the objects.
Let's use Coulomb's law
F = \(k \frac{q_1q_2}{r^2}\)
q² = \(\frac{F}{k} \ r^2\)
q² = \(\frac{50 \ (125 \ 10^3)^2 }{8.99 \ 10^9 }\)
q = \(\sqrt{86.93}\)
q = 9.32 C
Part 4
Indicate the gravitational force between two objects is F_g = -0.016 N when they are separateda distance r = 0.25 cm = 0.25 10⁺² m, ask the mass of the bodies.
Let's use the law of universal gravitation.
\(-G \frac{Mm}{r^2} \\m^2 = - \frac{F}{G} \ r^2\)
Let's calculate
m² = \(- \frac{(-0.016) }{6.67 \ 10^{-11}} \ (0.25 \ 10^{-2})^2\)
m = \(\sqrt{1498.33}\)
m = 38.7 kg
In conclusion using the Coulomb and gravitational laws together with Newton's second law we can find the results for the questions are:
1) The distance where the acceleration of gravity measures half its value on earth is; r’= 2.64 106 m
2) The mass of the particle is: m = 1.86 10-9 kg
3) The charge of the particles is: q = 9.32 C
4) The mass is: m = 38.7 kg
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what is 7/3 because it wont work for me pls help
Answer:
7/3 = 2 1/3
Explanation:
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction. 7/3 = 2 1/3.
Answer:
2.3333 (3-repeating) hope that helps
What kind of boundary is shown in the image below?
Convergent
Divergent
Collisional
Transform
Answer:
ambt kaon✌️jhrhriekeieieieiei
Explanation:
iwuejejwiowksj
is
A 0.155 kg arrow is shot upward
at 31.4 m/s. What is its kinetic
energy (KE) when it is 30.0 m
above the ground?
Kinetic energy = 29.912 J
Further explanationGiven
mass = 0.155 kg
vo=initial velocity = 31.4 m/s
h/d=30 m
Required
KE=kinetic energy
Solution
vt²=vo²-2ad⇒vt=final velocity
vt²=31.4²-2.10.30⇒g=10 m/s²
vt²=985.96-600
vt²=385.96 m/s
Kinetic energy (KE)
\(\tt KE=\dfrac{1}{2}mv^2\\\\KE=\dfrac{1}{2}\times 0.155.\times 385.96\\\\KE=29.912~J\)
Answer:
The answer is 30.8 (J)
Explanation:
You're welcome
How can gas density be used to explain why hydrogen rises in air and carbon dioxide sinks?
Answer:
Explanation: The density of gas differentiates all the varieties of gas present in the atmosphere.
HYDROGEN- it is a lighter gas having a lesser density.
For example, a hydrogen balloon displaces the air around it thus making it rise.
CARBON DIOXIDE: It is a denser gas as it makes the balloon heavier than the air pressure around it thus making it sink.
I hope the explanation was helpful. :)
pulls a wagon a distance of 32 meters the handle is above an angle of 20 degrees above horizontal if you pull on it with a force of 27 N what work is it
Hi there!
When finding work (J) given force (N), we use the equation:
W = FdcosФ <-- Only take into account the force in the direction of motion
Plug in the given values:
W = 27(32)cos(20) = 811.89 J
Explanation:
Here,
Given that,
pulls a wagon a distance of 32 meters the handle is above an angle of 20 degrees above horizontal if you pull on it with a force of 27 N
To find,
The total work doneAs we know that,
\({\boxed{\sf{W=f.d.cos\theta }}}\)
According to the question,
\(W=27(32)cos{20}\\\\w=811.89J\)
Place the following in correct order for the life cycle of a high mass star. Some terms will not be used at all.
main sequence star, supernova, red giant, white dwarf, red supergiant, nebula, protostar, neutron star or black hole
A) nebula, protostar, main sequence star, red giant, white dwarf, neutron star or black hole
B) protostar, nebula, main sequence star, white dwarf, red giant, neutron star or black hole
C) nebula, protostar, main sequence star, red supergiant, supernova, neutron star or black hole
D) protostar, main sequence star, red supergiant, nebula, supernova, neutron star or black hole
The correct order for the life cycle of a high mass star are nebula, protostar, main sequence star, red supergiant, supernova, neutron star or black hole. The correct answer is C.
The life cycle of a high mass star begins with a cloud of gas and dust known as a nebula. Gravitational forces cause the nebula to collapse, forming a protostar, which grows in size as it continues to accrete matter.
Once the temperature and pressure at the core of the protostar are high enough, nuclear fusion reactions begin, and the protostar becomes a main sequence star.
As the star burns through its hydrogen fuel, it expands and becomes a red giant. Eventually, the core contracts and heats up, causing the outer layers to be expelled in a planetary nebula, leaving behind a hot, dense core known as a white dwarf.
If the star is massive enough, the core will continue to contract until it reaches a critical density, at which point it will collapse and explode in a supernova. The remnant of the supernova can either be a neutron star or a black hole, depending on the mass of the original star.
So, the correct order for the life cycle of a high mass star is: nebula, protostar, main sequence star, red supergiant, supernova, neutron star or black hole. Therefore, option C is the correct answer.
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HELP ME ASAP PLZZZ NOW!!!
Answer:
B. It's nucleus releases energy
Explanation:
The period of a pendulum of length 0.500 m is
14.2 s
7.02 s
1.42 s
0.702 s
0.450 s
Answer:
C. 1.42 s
Explanation:
Givens:
length = 0.5m
gravity = 9.807 m/s
Solve:
T = 2π√(L/g)
T = 2π√(0.5/9.807)
T = 2π√(0.0509)
T = 2π * 0.22579
T = 6.28318 * 0.22579
T = 1.418 ≈ 1.42s
Place the following types of electromagnetic radiation in order from LOWEST energy
to HIGHEST energy?
(A) visible light (B) gamma rays (C) radio waves
1. А, С, В
2.С, А, В
3.В, С, А
4.С, В, А
Placing the electromagnetic radiation in order from the lowest energy to the highest energy : ( 2 ) C,A,B
Electromagnetic spectrumIn the electromagnetic spectrum the electromagnetic radiation with the shorter wavelength possess a higher energy while the electromagnetic radiation with a longer wavelength possess the lower energy.
The electromagnetic radiation as listed in the question with the longest wavelength is the radio waves therefore it possess the lowest energy while the radiation with the shortest wavelength is the gamma rays therefore it possess the highest energy.
Hence we can conclude that Placing the electromagnetic radiation in order from the lowest energy to the highest energy : ( 2 ) C,A,B
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the graph below shows the speed of an object during a 10 s time interval. In which of the following time intervals is the speed of the object was constant?
a. between 6 s and 8 s
b. between 2 s and 4 s
c. between 0 s and 2 s
d. between 2 s and 5 s
Answer:
b. between 2 s and 4 s
Explanation:
2-4 was both 3m/s
Sort the following planets by whether they formed within the snow line or not. Recall that the snow line is based on what phase of matter water is found in.
Within the Snow Line:
Earth
Mars
Venus
Mars
Outside the Snow Line:
Neptune
Uranus
Saturn
Jupiter
Within the snow line planets are, Mercury, Venus, Earth, and Mars were all formed.
What planets originated below the snow line?As the solar system was forming, a line existed between the orbits of Mars and Jupiter; as a result, the rocky planets Mercury, Venus, Earth, and Mars formed within the line, while Jupiter, Saturn, Uranus, and Neptune formed outside.
Where is astronomy's snow line?The frost line, which is sometimes referred to as the snow line or ice line, is the precise location in the solar nebula away from the central protostar where it is cold enough for vapors like water, ammonia, methane, carbon dioxide, and carbon monoxide to condense into solid ice grains.
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A force of 30 N is exerted on an object on a frictionless surface for a distance of 6.0 meters. If the object has a mass of 10 kg, calculate its velocity.
Answer:The velocity of the object will be 5\(\sqrt7\)m/s or 13.23m/s
Explanation:
force exerted by the object= 30N
distance displayed by the object by the action of force=6.0m
mass of object=10kg
velocity gained by the object=?
\(\frac{1}{2}mv^{2}= forcexdisplacement\\\frac{1}{2}10v^{2} = 30x6\\ 5v^{2}=180\\ v^{2}= 180-5\\ v^{2} =175\\v=\sqrt{175} \\v=5\sqrt{7} or 13.23\)
how is the internal energy of the particles in the brake pads affected by the increase in temperature?
Answer:
increasedExplanation:As the temperature is increased the more the energy store
I need help pls. Solve 1+cos 30º/1-sin 30º. Plz help me
Answer:
\( \huge \boxed{ \boxed{2 + \sqrt{3}}} \)
Explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:\( \frac{1 + \cos( {30}^{o} ) }{1 - \sin( {30}^{o} ) } \)tips and formulas:cos(30°)=\(\frac{\sqrt{3}}{2}\)\( \sin( {30}^{o} ) = \frac{1}{2} \)let's solve:\( \sf sustitute \: the \: value \: of \: \sin( {30}^{o} ) and \cos( {30}^{o} ) \\ \sf \frac{1 + \frac{ \sqrt{3} }{2}}{1 - \frac{1}{2} } \)\( \sf simplify : \\ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{1}{2} } \)\( \sf simplify(fraction) : \\ \frac{2 + \sqrt{3} }{2} \div \frac{1}{2} \\ \frac{2 + \sqrt{3} }{2} \times 2 \\ \therefore 2 + \sqrt{3} \)seawater velocity = 1478 m/s water depth = 509 m sandstone velocity = 2793 m/s thickness=1003 m mudstone velocity= 2240 m/s thickness = 373 m Air Gun Energy Source Note: Illustration is not to scale. Hydrophone Receivers seafloor sand/mud 2. In the marine seismic acquisition example shown, you are interested in two events observed in the seismic trace that is recorded at the first hydrophone. One is a first-order multiple (double bounce) off the seafloor. The other is a primary reflection from the sand/mud interface for which the energy ray-path has a takeoff angle of 9 degrees from vertical as shown. Assume horizontal rock layers and isotropic velocities. Which of the two events arrives at the hydrophone first-the primary or the multiple? Clearly show your calculations and include a simple drawing of the two- event seismic trace. 3. How long does it take for energy to travel directly from the air gun to the first hydrophone (no bounces)? 4. What is the maximum takeoff angle at which seismic energy can reflect from the sand/mud interface? Explain what happens to the energy for larger angles. 5. Explain the relative direction of travel for energy that is transmitted into the mudstone.
2. The primary reflection from the sand/mud interface will arrive first at the hydrophone. To determine which event arrives first, we need to calculate the two-way travel times (TWTT) for each event. The TWTT for the primary reflection from the sand/mud interface is:
TWTT = (2 × depth × sin (angle of incidence)) / velocity
TWTT = (2 × 509 × sin (9)) / 1478TWTT = 0.317 s
The TWTT for the double bounce off the seafloor is:TWTT = (2 × depth) / velocityTWTT = (2 × 509) / 1478TWTT = 0.689 s
Therefore, the primary reflection arrives first at the hydrophone. Here is a simple drawing of the two-event seismic trace:
3. To calculate the time it takes for energy to travel directly from the air gun to the first hydrophone, we need to determine the distance between them and divide it by the velocity of sound in seawater. Using the given values, we have:
Distance = depth + (thickness of sand/mud) + (thickness of mudstone)
Distance = 509 + 1003 + 373
Distance = 1885 m
Velocity of sound in seawater = 1478 m/s
Time = Distance / VelocityTime = 1885 / 1478Time = 1.276 s
Therefore, it takes 1.276 seconds for energy to travel directly from the air gun to the first hydrophone.
4. The maximum takeoff angle at which seismic energy can reflect from the sand/mud interface is called the critical angle. This angle can be calculated using Snell's law:
n1 × sin (angle of incidence) = n2 × sin (angle of refraction)
where n1 and n2 are the velocities of the two materials and the angle of refraction is 90 degrees (since seismic energy travels along a horizontal path once it reaches the interface).
For the sand/mud interface, the critical angle is:
n1 × sin (critical angle) = n2 × sin (90)n1 / n2 = cos (critical angle)critical angle = cos^-1 (n1 / n2)
Using the given values:
n1 = 2793 m/s (sandstone velocity)n2 = 2240 m/s (mudstone velocity)critical angle = cos^-1 (2793 / 2240)
critical angle = 35.9 degrees
Seismic energy cannot reflect from the sand/mud interface at angles greater than the critical angle. For larger angles, the energy will be transmitted into the mudstone.
5. When seismic energy is transmitted into the mudstone, it travels in all directions away from the source. However, the energy will be attenuated (reduced in amplitude) as it travels through the mudstone due to its relatively low velocity compared to the sandstone and seawater.
As a result, the mudstone acts as a barrier that blocks or reduces the energy that would otherwise be transmitted deeper into the subsurface.
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an arrow moving 48.3 m/s has 5.22 kg*m/s of momentum. what is it's mass?
Answer:
0.11 kgExplanation:
The mass of the arrow can be found by using the formula
\(m = \frac{p}{v} \\ \)
p is the momentum
v is the velocity
From the question we have
\(m = \frac{5.22}{48.3} \\ = 0.108074...\)
We have the final answer as
0.11 kgHope this helps you
a thin, straight, uniform rod of length 1.10 m and mass 250 kg hangs from a pivot at one end. what is its period for small-amplitude oscillations?
The period for a small amplitude oscillation on a thin, straight, uniform rod 1.10 m long and 250 kg mass hangs from a pivot at one end = 2.09 s.
Harmonic vibrationHarmonic vibration is the alternating motion of an object through an equilibrium point that has a fixed frequency and period. An example of harmonic vibration is a pendulum.
Period (T) is the time needed to do one vibration. Meanwhile, the frequency (f) is the number of vibrations that occur in one second. The period and frequency of the pendulum depend on the length of the string and the acceleration due to gravity, and are independent of the mass of the pendulum. The period and frequency of the pendulum can be expressed using the following equation:
T = 2\(\pi\)\(\sqrt{\frac{L}{g} }\)
f = \(\frac{1}{2\pi }\) \(\sqrt{\frac{L}{g} }\)
Where,
T = period (s)
f = frequency (Hz)
L = length (m)
g = acceleration of gravity (9.8 m/s²)
We have,
L = 1.10 m
So,
T = 2\(\pi\)\(\sqrt{\frac{L}{g} }\)
= 2\(\pi\)\(\sqrt{\frac{1.10}{9.8} }\)
= 2.09 s
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Which force requires contact?
Answer:
Explanation:
where is the question