Answer:
he Kuiper Belt shouldn't be confused with the Oort Cloud, which is a much more distant region of icy, comet-like bodies that surrounds the solar system
Explanation:
:)
The arrows in the diagram show the direction of the magnetic fields of the atoms that make up an object. Which sentence best describes the object? A. The object is made of nonmagnetic material. B. The material of the object can attract a magnet. C. The object is weakly magnetic. OD. The material of the object can be magnetized.
Option D, the sentence that best describes the object is the material of the object can be magnetized.
Atoms of magnetic materialThe direction of the magnetic fields of the atoms that make up an object is always aligned towards the north pole or south of the material.
Objects that are made of unmagnetised materials such iron, cobalt and nickel are attracted to either pole of a magnet, but not repelled.
The diagram given shows unmagnetised material, and hence the material of the object can be magnetized.
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water flowing through a garden hose of diameter 2.80 cm fills a 21.0 l bucket in 1.30 min. (a) what is the speed of the water leaving the end of the hose?
The speed of the water leaving the end of the hose \({0.405 }\frac{ \mathrm{~m}}{ \mathrm{s}} $$\)
As per the given data in question:
Initial diameter of the hose \(D_1=2.80 \mathrm{~cm}$\)
Volume of the bucket \(\mathrm{V}=21.0 \mathrm{~L}=0.021 \mathrm{~m}^3$\)
Time = 1.30 minutes.
The cross-sectional area of the hose is
\(\mathrm{A}_1=\frac{\pi \mathrm{D}_1{ }^2}{4} \\{A}_1=\frac{\pi\left(2.80 \times 10^{-2} \mathrm{~m}\right)^2 }{4}\\{A}_1=6.16 \times 10^{-4} \mathrm{~m}^2$\)
The volume flow rate
\($\dot{V}=\frac{V}{t}\)
\(=\frac{0.021 \mathrm{~m}^3}{1.30 \times 60 \mathrm{~s}}\\=2.50 \times 10^{-4} \frac{\mathrm{~m}^3}{\mathrm{s}$}\)
Speed over water is only required to be used for collision avoidance and not necessarily for navigation. By using speed over ground, a navigator is more aware of the situation than otherwise. For example, if the ship is drifting towards a danger, navigator will know it better if he has speed over ground in radar.
Then, the speed of the water leaving the end of the hose is
\($$\mathrm{v}_1=\frac{\dot{V}}{\mathrm{A}_1} =\frac{\left(2.50 \times 10^{-4} \mathrm{~m}^3 / \mathrm{s}\right)}{\left(6.16 \times 10^{-4} \mathrm{~m}^2\right)} ={0.405 }\frac{ \mathrm{~m}}{ \mathrm{s}} $$\)
Therefore the value of speed of the water leaving the end of the hose is 0.405 m/s
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in the hubble extreme deep field (shown), we see galaxies in many different stages of their lives. in general, which galaxies are seen in the earliest (youngest) stages of their lives?
In the Hubble Extreme Deep Field, the galaxies seen in the earliest (youngest) stages of their lives are typically the small, faint, and irregularly shaped galaxies.
The Hubble Extreme Deep Field is an image captured by the Hubble Space Telescope that shows a small, seemingly empty patch of sky that contains thousands of galaxies. These galaxies vary greatly in size, shape, and color, and they are located at different distances from us.
Some of these galaxies are very young, while others are much older. However, in general, the galaxies that are seen in the earliest (youngest) stages of their lives tend to be small, faint, and irregularly shaped. This is because they are still in the process of forming and have not yet had the chance to merge with other galaxies or grow in size.
In conclusion, the small, faint, and irregularly shaped galaxies are the ones that are typically seen in the earliest (youngest) stages of their lives in the Hubble Extreme Deep Field. As these galaxies evolve and grow, they may become more structured and take on different shapes and sizes.
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a 2.2 g spider is dangling at the end of a silk thread. you can make the spider bounce up and down on the thread by tapping lightly on his feet with a pencil. you soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second.
The period of oscillation of a spider hanging on a silk thread, tapped once every second, is one second.
What is the period of oscillation of a spider hanging on a silk thread when tapped once every second?
The time it takes for one complete up-and-down motion of the spider on the silk thread is called the period of oscillation, denoted by T. We know from the problem statement that the spider has the largest amplitude on its bungee cord when tapped exactly once every second.
If the tapping is done exactly once every second, then the spider is experiencing a periodic force with a frequency of 1 Hz. In this case, the period of oscillation T is equal to the reciprocal of the frequency, which is:
T = 1/f = 1/1 Hz = 1 second
Therefore, the spider completes one full oscillation (i.e., up-and-down motion) every second.
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Help please!!!! What is the difference between the type of smog experiences by cities in the eastern United States and that found in Southern California?
Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
What is Smog?Smog development and infiltration over Los Angeles. haze and air pollution in the entire community.
Burning sulfur-containing fossil fuels, particularly coal, causes sulfurous smog, also referred to as "London smog," which is characterized by a high concentration of sulfur oxides in the atmosphere.
The two primary substances in automotive exhaust are nitrogen oxides, which are created in scorching internal combustion engines, and hydrocarbons, which are derived from gasoline.
Therefore, Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.
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A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 180 m above the glacier at a speed of 170 m/s. How far short of the target should it drop the package?
To solve the question, we have to apply the concept of projectile motion. Given the following data: Height of the plane from the ground = 180 m. Speed of the plane = 170 m/s.
Using the concept of projectile motion, we can find the distance at which the package should be dropped. We know that the horizontal distance (x) is given by the equation:
x = vt Where v = velocity t = time.
Taking the vertical motion, we have the height from the ground as 180 m and acceleration due to gravity as -9.8 m/s²
Using the kinematic equations, we can find the time at which the package should be dropped.Initial velocity (u) = 0 m/s
Final velocity (v) = ?Acceleration (a) = -9.8 m/s²Time (t) = ?Height (s) = 180 m. We use the equation:v² = u² + 2as
Where,u = initial velocityv = final velocitya = acceleration due to gravity = height from the ground
Substituting the given values,v² = 0 + 2(-9.8)(180)∴ v = 84.68 m/s
Now, we can calculate the time taken to reach the ground using the equation:s = ut + 1/2 at²
Where,u = 0 m/st = ?a = -9.8 m/s²s = 180 mt = √2s/a∴ t = √(2 × 180/9.8)≈ 6.79 sThe total distance travelled by the package in the horizontal direction would be:x = vt = 170 × 6.79≈ 1156.3 m
Therefore, the package should be dropped 1156.3 m from the target so that it would reach the scientists on the glacier. The concept of projectile motion involves the motion of an object thrown or dropped from a certain height or launched at an angle.
The motion of the object is influenced by two forces: the horizontal force and the vertical force. The horizontal force is constant throughout the motion, whereas the vertical force varies due to the acceleration due to gravity.
Projectile motion is often observed in games such as basketball, cricket, and football. It is also used in real-life applications such as calculating the distance of a missile launched or finding the landing point of a satellite.
In conclusion, the given problem of finding the distance at which a package should be dropped can be solved using the concept of projectile motion. The total distance travelled by the package is 1156.3 m from the target. The concept of projectile motion has many real-life applications and is used in various fields such as physics, engineering, and sports.
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Ace Batteries uses the Capital Asset Pricing Model to calculate the cost of equity capital. Which of the following event will REDUCE the company's WACC (weighted average cost of capital). a. An increase in the flotation costs associated with issuing new common stock. b. An increase in the market risk premium. c. A decrease in the company's beta d. An increase in flotation cost of issuing preferred stock.
WACC (Weighted Average Cost of Capital) is a calculation used to assess a company's cost of capital. It is computed by multiplying each source of capital (equity, debt, and preferred stock) by its relevant weight and then summing these up.
In this question, Ace Batteries is utilizing the CAPM (Capital Asset Pricing Model) to determine the cost of equity capital.Ace Batteries' WACC can be reduced if the company's beta decreases. The beta of a company is a measure of its market risk or volatility, and it is a component of the CAPM formula
As a result, a lower beta lowers the cost of equity capital, lowering the company's WACC. Consequently, option c: A decrease in the company's beta, will REDUCE Ace Batteries' WACC (weighted average cost of capital).
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How much longer (percentage) is a one-mile race than a 1500-m race (""the metric mile"")?
Answer:
1 m = 39.37 in = 3.281 ft
1500 m * 3.281 ft / m = 4922 ft
(5280 - 4922) / 4922 = .073 = 7.3 %
(Note - 1600 m often replaces the 1 mi run)
Three forces act on an object in vertical plane two forces of 500N and 300N act vertically upwards and the third force of 600N acts vertically downwards determine the resultant force acting on the object
The resultant force acting on the object is 200 N upwards.
What is the resultant force acting on the object?
The resultant force acting on the object is calculated by taking sum of all the forces including their direction.
Mathematically, the formula for the resultant force acting on the object is given as;
F ( net ) = F1 + F2 + F3
where;
F1 is the first force acting vertically upwardF2 is the second force acting vertically upwardF3 is the third force acting vertically downwardThe magnitude of the first force acting vertically upward = 500 N
The magnitude of the second force acting vertically upward = 300 N
The magnitude of the third force acting vertically downwards = 600 N
The resultant force acting on the object is calculated as follows;
F (net) = 500 N + 300 N - 600 N
F (net) = 200 N
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A wire lying in the plane of this page carries a current directly toward the top of the page. What is the direction of the magnetic force this current produces on an electron that is moving perpendicular to the page and outward from it on the left side of the wire?
The direction of this current's magnetic force on an electron that is moving perpendicular to the page and outward from it on the left side of the wire is downward.
What is Magnetic force?
The force exerted by a magnetic field on a moving charged particle is known as a magnetic force. It is described by the formula F = q(v x B), where F is the magnetic force, q is the particle's charge, v is the particle's velocity, and B is the magnetic field.
The right-hand rule states that when a wire-carrying current is held in the right hand with the thumb pointing in the direction of the current, the fingers will curl in the direction of the magnetic field lines created by the current.
The magnetic field lines will create clockwise circles around the wire because, in this instance, the current flows from the top of the page downward.
Now imagine an electron on the left side of the wire traveling perpendicular to the page. The electron will experience a magnetic force since it travels in a direction perpendicular to both the magnetic field and the current.
We can use the left-hand rule for a negative charge to determine the direction of this force. If the left hand is held with the fingers pointing toward the magnetic field and the thumb pointing toward the electron's velocity, the palm will face the order of the force on the electron.
The thumb points to the left because the electron leaves to the left. The fingers curl because the magnetic field lines go clockwise around the wire. Therefore, the magnetic force acting on the electron is directed downward because the palm is facing downward.
Therefore, the magnetic pull exerted by this current on an electron traveling outward and perpendicular to the page on the wire's left side is directed downward.
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how long does it take for photons to emerge from the sun's core to the outside
It takes around 100,000 years for photons to emerge from the Sun's core to the outside.
Photons are the elementary particles that make up light. In the Sun's core, nuclear fusion reactions produce high-energy photons, which are continually absorbed and re-emitted by the atoms in the dense plasma. These photons interact with other particles in the plasma, making their journey to the surface a slow and indirect process.
It takes a photon around 100,000 years to travel from the Sun's core to the outside. This is due to the high density and opacity of the Sun's interior, which causes the photons to undergo a random walk through the plasma, bouncing off atoms and being absorbed and re-emitted many times before they finally reach the surface. Once the photons reach the surface, they can escape into space and travel to Earth in just over 8 minutes. The process of photons escaping from the Sun's core and eventually reaching Earth is a crucial part of the solar energy that sustains life on our planet.
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If two boxes, one with a mass of 4 kg and one with a mass of 10 kg are sitting on a shelf. Explain the differences in their amount of potential energy.
Answer:
The box with a mass of 10 kilograms would have a greater amount of potential energy than the box with a mass of 4 kilograms.
Explanation:
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Let's assume the height is 5 meters.
Acceleration due to gravity, g = 10 m/s²
For box with mass of 10 kg
\( P.E = 10*10*5\)
P.E = 500 Joules.
For box with mass of 4 kg;
\( P.E = 4*10*5\)
P.E = 200 Joules.
Hence, the box with a mass of 10 kilograms would have a greater amount of potential energy than the box with a mass of 4 kilograms.
got the ans thanks neede coz i had doubt but got clarified
Answer:
i. 170 m
ii. 850 m
Explanation:
Question
Arjun and his son Arav were standing ‘x’ m away from each other. They are equidistant (Y m) from a vertical cliff. Arjun burst a balloon and Arav heard the direct sound 0.5 seconds later and the echo after 2 seconds. If the speed of sound in air is 340m/s ,calculate
i. the distance between Arjun and Arav
ii. the distance between the cliff and Arjun
The parameters given are;
The time for the sound to reach Arav, \(t_D\) = 0.5 s
Time for the echo to echo to reach Arav, \(t_E\) = 2 s
The distance between Arjun and Arav = \(D_D\)
The distance between Arav and the cliff = \(D_E\)
The speed of sound in air, s = 340 m/s
The formula for speed, s, is \(s = \dfrac{Distance, D}{Time, t}\), therefore;
\(s = \dfrac{D_D}{t_D} = \dfrac{D_D}{0.5} = 340\)
\(D_D\) = 0.5 s × 340 m/s = 170 m
The distance between Arjun and Arav = 170 m
ii. Since Arav hears the direct sound before the echo, he is closer to the cliff than Arjun, therefore, we have;
\(s = \dfrac{D_E}{t_E} = \dfrac{D_E}{2} = 340\)
\(D_E\) = 2 s × 340 m/s = 680 m
Therefore, the distance between Arav and the cliff = 680 m
Which gives the distance between the cliff and Arjun, \(D_{cliff}\) = The distance between Arav and the cliff + The distance between Arjun and Arav
\(D_{cliff}\) = 680 + 170 = 850 m.
A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state. what is its net electric charge (including its sign) in coulombs?
A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state, then the net electric charge in coulomb would be - 5.008×10⁻¹³ coulombs.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
Then the charge on the 3.13×10⁶ extra electrons compared to its neutral state
=-1.6×10⁻¹⁹ ×(3.13×10⁶)
As given in the problem A piece of purple plastic is charged with 3.13×10⁶ extra electrons compared to its neutral state then the net electric charge in coulombs would be - 5.008×10⁻¹³ coulombs.
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a car starts from rest on a curve with a radius of 130 m and tangential acceleration of 1.3 m/s2 . Through what angle will the car have traveled when the magnitude of its total acceleration is 2.6 m/s2?
The car will have traveled through an angle of approximately 119.7 degrees when the magnitude of its total acceleration is 2.6 m/s^2.
What is the angle of approximate calculation?
The magnitude of the total acceleration of a car on a curved path can be given by:
a = √(at^2 + ac^2)
where at is the tangential acceleration (1.3 m/s^2), and ac is the centripetal acceleration, which is given by:
ac = v^2 / r
where v is the velocity of the car and r is the radius of the curve (130 m).
Setting a = 2.6 m/s^2, we can solve for v:
v = √(r * a^2 - at^2) = √(130 * 2.6^2 - 1.3^2) = 27.47 m/s
The angle through which the car will have traveled can be found using the equation for the arc length s:
s = r * θ
where θ is the angle in radians. Substituting the values for v and t into the equation for s, we can solve for θ:
θ = s / r = v * t / r
Since the car started from rest, t can be found from the equation for acceleration:
at = v / t
t = v / at = 27.47 / 1.3 = 21.06 s
Finally, substituting t into the equation for θ, we get:
θ = v * t / r = 27.47 * 21.06 / 130 = 2.07 radians = 119.7 degrees
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.
What is the unit of work? *
A. Joule
B. Newton/meter
C. Watt
D. All of the above
Answer:
A! I already went through this unit. Joule.
Explanation:
Answer:
A is the answer thank me later
Need answer ASAP!!!
Will give the brainliest for the correct answer!!!
What is the current of a circuit it the resistance is 20 ohms and the voltage is 100 V?
Hello!
Use ohm law:
I = V / R
Replacing:
I = 100 V / 20 O
I = 5 A
The current is 5 amperes.
The work output of a machine is
80 Joules, and its work output is
120 Joules. What is the efficiency of the machine?
To calculate the efficiency of a machine, divide the work output by the work input and multiply the result by 100%.
Correct question:
The work output of a machine is 80 Joules, and its work input is 120 Joules. What is the efficiency of the machine?
Given DataWork output = 80 Joules
Work input = 120 Joules.
Efficiency = Working output/Work input *100
Efficiency = 80/120 *100
Efficiency = 0.67 *100
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scientists are concerned about the decrease in ozone is allowing more ultraviolet. (True or False)
The given statement "scientists are concerned about the decrease in ozone is allowing more ultraviolet" is true because ozone is a molecule made up of three oxygen atoms that exist in the Earth's atmosphere. It's a form of oxygen that absorbs almost all of the Sun's harmful ultraviolet light.
Ultraviolet rays are very harmful to humans, causing skin cancer, immune system breakdowns, and cataracts in the eyes. When the ozone layer is damaged or thinned, it can allow more ultraviolet rays to penetrate the atmosphere, which is why scientists are so concerned about ozone depletion.What are the impacts of ozone depletion?It is estimated that a 1% reduction in the ozone layer increases the incidence of non-melanoma skin cancer by 2%.A decrease of 10% in the ozone layer may result in a 20% increase in the incidence of skin cancer.The thinning of the ozone layer may result in a decrease in plant production, which may result in food supply shortages.A decrease in ozone may have an impact on phytoplankton, which play a crucial role in ocean food webs. These tiny creatures consume carbon dioxide and produce half of the world's oxygen. As phytoplankton numbers decline, ocean ecosystems may change, affecting everything from fish populations to weather patterns.
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the silvered wall of a vacuum bottle takes care of heat flow by
Radiation
Convection
Conduction
Conduction and convection
8.54 Three identical balls of mass m are placed in the con-
figuration shown in the
figure. Find the location
(0, a)
of the center of mass.
50
(0,0)
(a,0)
The center of mass is the point located in an average position concerning the objects' positions and their masses. (a/3;a/3) is the location of the COM.
What si the center of mass?
The center of masses of a given system of particles or objects is the position under which all external forces are acting. Any uniform force acts on this point.
This position is the average position of all the components of the system concerning their masses. It can be placed in one, two or three dimensions according to the system.
Coordinate X of the center of masses is given by the following formula,
Xcom = Σ(Ximi) / Σmi
This is the adition (Σ) of each particle position on the X-axis (Xi) multiplied by their mass (mi), and the result divided by the summation of all masses -total mass-.
In the same way, coordinate Y of the center of masses is given by the following formula,
Ycom = Σ(Yimi) / Σmi
This is the adition (Σ) of each particle position on the Y-axis (Yi) multiplied by their mass (mi), and the result is divided by the summation of all masses.
The center of masses is located in the position (X, Y).
According to this framework, we can get the coordinates of the center of masses for this bidimensional system. Coordinates can be expressed in meters or centimeters (m or cm).
Data:
Particle ⇒ (X;Y)
Ball 1 ⇒ (0;a)Ball 2 ⇒ (0;0)Ball 3 ⇒ (a;0)Coordinate X ⇒ Xcom = Σ(Ximi) / Σmi
Xcom = (0m) + (0m) +(am) / m +m +m
Xcom = am / 3m
Xcom = a/3
Coordinate Y ⇒ Ycom = Σ(Yimi) / Σmi
Ycom = (am) + (0m) +(0m) / m +m +m
Ycom = am / 3m
Ycom = a/3
Coordinates of the center of masses, (X;Y) = (a/3 ; a/3)
(a/3 ; a/3) is the location of the center of mass in the proposed bidimensional system.
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(01.01 LC)
Two objects of the same mass are in a room. At which of the
following distances will the greatest gravitational force be exerted
by one object on another?
O 2 m
O 4 m
O 6 m
O 8 m
Answer:
2m
Explanation:
The closer the objects are, the more gravitational force there is
The classification of spiral galaxies is based on three properties:
Spiral galaxies are classified based on spiral arm tightness, bulge size, and amount of gas and dust present. This allows astronomers to categorize them into subtypes such as Sa, Sb, and Sc.
The classification of spiral galaxies is based on three properties:
1. Spiral arm tightness: This refers to how tightly wound the spiral arms are around the galaxy's center. Galaxies with more tightly wound arms are classified as "Sa," while those with more loosely wound arms are classified as "Sc."
2. Bulge size: The central bulge of a spiral galaxy can vary in size. Larger bulges are typically found in early-type spiral galaxies (such as Sa), while smaller bulges are found in late-type spiral galaxies (like Sc).
3. Amount of gas and dust: The presence and distribution of gas and dust within a spiral galaxy also play a role in its classification. Early-type spiral galaxies generally have less gas and dust compared to late-type spiral galaxies.
By considering these three properties, astronomers can classify spiral galaxies into various subtypes (such as Sa, Sb, and Sc) within the broader spiral galaxy category.
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A developmental psychologist and demographer would describe an individual who is 85 years or older as ____.
A.young-old
B.old-old
C.oldest-old
D.older-old
The correct option is C oldest-old
A developmental psychologist and demographer would describe an individual who is 85 years or older as the "oldest-old."
How do psychologists describe the oldest-old?The correct option is C oldest-oldWhen describing an individual who is 85 years or older, developmental psychologists and demographers use the term "oldest-old." This term reflects the fact that individuals in this age group are not only considered "old," but also represent the most advanced stage of aging. The oldest-old population is growing rapidly, as people are living longer than ever before due to advances in healthcare and improved living conditions. Studying the oldest-old can provide insights into the physical, social, and psychological changes that occur in the final stage of the human lifespan, and help inform strategies for improving the health and well-being of older adults.Learn more about psychologists
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the weight of a person is 400N. he exerts 400N/m² pressure if he stands with both feet. Find the area of the floor covered by his both feet.
Answer:
1 m²Explanation:
The area of the floor covered by his both feet can be found by using the formula
\(a = \frac{f}{p} \\ \)
f is the force
p is the pressure
From the question we have
\(a = \frac{400}{400} = 1 \\ \)
We have the final answer as
1 m²Hope this helps you
a pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
(1) The time does pilot take the weight to hit the ground = 2.4 s
(2) The pilot travel before land = 400 m
Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,
t₁ = t₂
s₁ = initial distance
s₂ = final distance
t₁ = initial time
t₂ = final time
Hence, the time does it take the weight to hit the ground = 2.4 s
The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.
So, the pilot travel before land:
s₂ = 2 x s₁
= 2 x 200 m
= 400 m
The question is incomplete, it should be:
There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?
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9- Under what circumstances would a vector have components that are equal in
magnitude?
a. if the vector is oriented at 45° from the axes.
b. if the vector is oriented at 90° from the axes.
c. if the vector is oriented at 0° from the X -axis.
d. if the vector is oriented at 0° from the y-axis.
itude of 30 units Vector B is perpendicular to vector A
Explanation:
c. if the vector is oriented at 0° from the X -axis.
A cube made of an alloy with dimensions of 100 mm×100 mm×100 mm is placed into a pressure chamber and subjected to a pressure of 150MPa. If the modulus of elasticity of the alloy is 200GPa. and Poisson's ratio is 0.4, what will be the length?
The length of the cube when placed in a pressure chamber with a pressure of 150MPa, with dimensions of 100 mm x 100 mm x 100 mm with a modulus of elasticity of 200GPa and Poisson's ratio of 0.4 is going to increase.
Therefore, let's find the increase in length of the cube by considering the formula:
\(ΔL = L x (ε1 + vε2)\)
Where,ΔL = Change in Length
\(L = Initial Lengthε1 = Longitudinal Strainε2 = Lateral Strain v = Poisson’s Ratio.\)
Here, Longitudinal Strain ε1 is given by:
ε1 = σ/E
where,
σ = Stress E = Modulus of Elasticity Substituting the given values,\(ε1 = 150MPa / 200GPa= 0.00075\).
Now, Lateral Strain ε2 is given by:\(ε2 = - vσ/E Substituting the given values,ε2 = - 0.4 x 150MPa / 200GPa= -0.0003\).
By using the formula\(,ΔL = L x (ε1 + vε2) = L x (0.00075 - 0.00012) = 0.00063 L\).
Increase in length = ΔL = 0.00063LTherefore, the length of the cube is increased by 0.00063 times its original length.Hence, the length of the cube after applying pressure would be 100.063 mm (approximately).
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Write an activity to differenciate between saturated and unsaturated solution
Answer:
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Determine la inercia rotacional de una varilla de 4 m de largo y 2 Kg de mesa si su eje de rotación esta situado a la mitad de la varilla.
Answer:
I = 2.667 kg m²
Explanation:
The moment of inertia of a body can be calculated by the expression
I = ∫ L² dm
For high symmetry bodies the expressions of the moment of inertia are tabulated, for a rod with its axis of rotation at its midpoint it is
I = \(\frac{1}{12}\) m L²
let's calculate
I = \(\frac{1}{12}\) 2 4²
I = 2.667 kg m²