The given image shows an expanding loop of wire in a constant magnetic field. One of the statements mentioned below is false. The false statement among the following statements is: “The current in the wire is clockwise as seen from above.”
The actual direction of the current in the wire will be anti-clockwise as viewed from above. It will be so because the magnetic field is directed out of the page. The direction of the current will be determined by the right-hand rule. The clockwise direction of the current is depicted in the following image:It is important to note that whenever an expanding loop of wire is introduced in a magnetic field, an emf (electromotive force) will be induced. The direction of this induced emf will depend on the direction of the magnetic field and the direction of the induced current.
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a parallel-plate capacitor has plates of area 0.80 m2 separated by a distance of 3.0 mm. what is this capacitor's capacitance?
The capacitance of this parallel-plate capacitor is 2.37 x 10⁻⁸ Farads.
The capacitance of a parallel-plate capacitor is given by the equation C = εA/d, where C is the capacitance, ε is the permittivity of the material between the plates, A is the area of the plates, and d is the distance between them.
In this case, the area of the plates is 0.80 m² and the distance between them is 3.0 mm, or 0.003 m.
The permittivity of air is approximately 8.85 x 10⁻¹² F/m, which we can use in our equation.
Substituting the values, we get C = (8.85 x 10⁻¹² F/m)(0.80 m²)/(0.003 m) = 2.37 x 10⁻⁸ F.
Therefore, the capacitance of this parallel-plate capacitor is 2.37 x 10⁻⁸ Farads.
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At what altitude does 1% of the mass of the atmosphere lies above and 99% of the mass lies below? Assume that the global mean surface pressure is about 1000hPa, and the scale height H is 8km. State your assumptions.
At 0.0804 km altitude the 1% of the mass of the atmosphere lies above and 99% of the mass lies below. Assumptions made are the global mean surface pressure of 1000 hPa is a representative value and the scale height is assumed to be constant throughout the entire atmosphere.
First, we need to calculate the pressure at the desired percentiles (1% and 99%) relative to the surface pressure.
For 1% of the mass lying above, we consider the pressure to be 1% of the surface pressure:
1% of 1000 hPa = 0.01 × 1000 hPa
= 10 hPa.
For 99% of the mass lying below, we consider the pressure to be 99% of the surface pressure:
99% of 1000 hPa = 0.99 × 1000 hPa
= 990 hPa.
Next, we use the exponential relationship between pressure and altitude:
P = P0 × exp(-z/H),
where P is the pressure at a given altitude, P0 is the surface pressure, z is the altitude, and H is the scale height.
To find the altitude z at which the pressure is equal to 10 hPa (1% of the surface pressure), we rearrange the equation:
10 hPa = 1000 hPa × exp(-z/H).
Taking the natural logarithm (ln) of both sides, we have:
ln(10 hPa / 1000 hPa) = -z / H.
ln(0.01) = -z / 8 km.
z = -8 km × ln(0.01).
Evaluating the expression:
z = -8 km × (-4.605)
= 36.84 km.
Therefore, 1% of the mass of the atmosphere lies above an altitude of approximately 36.84 km.
Similarly, to find the altitude z at which the pressure is equal to 990 hPa (99% of the surface pressure), we follow the same procedure:
990 hPa = 1000 hPa × exp(-z/H).
ln(990 hPa / 1000 hPa) = -z / H.
ln(0.99) = -z / 8 km.
z = -8 km × ln(0.99).
Evaluating the expression:
z = -8 km × (-0.01005)
= 0.0804 km.
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If the tension on a guitar string is increased by a factor of 3, the fundamental frequency at which it vibrates is changed by what factor?
A. 9
B. 3
C. √3
D. 1/√3
E. 1/3
If the tension on a guitar string is increased by a factor of 3, the fundamental frequency at which it vibrates is changed by C. √3 factor.
The fundamental frequency at which a guitar string vibrates is directly proportional to the square root of the tension applied to the string. Therefore, if the tension on a guitar string is increased by a factor of 3, the fundamental frequency of the string will also increase.
Using the formula for the frequency of a vibrating string, f = (1/2L)√(T/μ), where L is the length of the string, T is the tension, and μ is the linear density of the string, we can see that frequency is proportional to the square root of tension.
Therefore, if the tension is increased by a factor of 3, the frequency will increase by the square root of 3, or approximately 1.73 that is √3.
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the layer of earth that is the solid outermost portion and is part of the mantle and crust is called
The layer of the earth that is the solid outermost portion and is part of the mantle and crust is called the lithosphere.
The lithosphere is a rigid, solid layer that includes the entire crust and the uppermost part of the mantle. It is divided into several large plates that move and interact with each other at the boundaries, resulting in geological events such as earthquakes, volcanic eruptions, and the formation of mountain ranges.
The lithosphere is characterized by its physical properties, including its rigidity, thickness, and chemical composition. It is made up of a variety of rock types, including sedimentary, metamorphic, and igneous rocks, and it varies in thickness from about 5 to 100 kilometers depending on location. Overall, the lithosphere is a crucial component of the Earth's structure and plays an important role in shaping the planet's geological features and supporting life on Earth.
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a non-relativistic free electron has kinetic energy k. if its wavelength doubles, its kinetic energy is
The kinetic energy of a non-relativistic free electron is given by the equation:
K = (1/2) mv^2
where K is the kinetic energy, m is the mass of the electron, and v is its velocity.
The de Broglie wavelength of an electron is given by the equation:
λ = h / p
where λ is the wavelength, h is the Planck's constant, and p is the momentum of the electron.
Since the kinetic energy of the electron is given as K, we can write:
K = (1/2) mv^2
The momentum of the electron can be calculated using the equation:
p = mv
Now, let's assume that the initial wavelength of the electron is λ1 and the final wavelength is λ2 (λ2 = 2λ1).
From the de Broglie equation, we have:
λ1 = h / p1
λ2 = h / p2
Dividing these two equations, we get:
λ2 / λ1 = p1 / p2
Since p = mv, we can rewrite the equation as:
λ2 / λ1 = m1v1 / m2v2
Given that the mass of the electron remains constant, we have m1 = m2, so the masses cancel out:
λ2 / λ1 = v1 / v2
Since λ2 = 2λ1, we can substitute this into the equation:
2 = v1 / v2
v1 = 2v2
Now, let's substitute this value of v1 into the expression for kinetic energy:
K = (1/2) m(2v2)^2
K = 4(1/2) mv2^2
K = 2mv2^2
Therefore, the kinetic energy of the electron when its wavelength doubles is 2 times its initial kinetic energy, or 2K.
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Waves on water in a ripple tank are often used as a model to help students to understand sound waves
and light waves.
Compare and contrast waves on water, sound waves and light waves
Answer:
I'm sorry I
Explanation:
I don't know I'm sorry I will tell you another answer
In sea-floor spreading, molten material rises from the mantle and erupts in the...
Answer:
along mid ocean ridges
Explanation:
In 1960, Harry Hess came up with the discovery that the floor of the oceans undergoes a movement. This movement is similar to that of being a conveyor belt. In this movement, continents are moved along with the oceans. The molten materials moves up to the mid-ocean ridge where it spreads and erupts. In this process the molten materials pushes the rocks sideways thereby emerging out from the mantel. The freezing of the molten material formed new rocks. This process is termed to be sea-floor spreading.
An electromagnetic wave is composed of electrical and magnetic energy.
Please select the best answer from the choices provided
T
F
Answer:
the answer is T!!
!!!!!!!!
Answer:
true
Explanation:
hope this helps
A circuit connected to a battery of 1.9 voltage. has a current of 0.07 amps. What is the resistance
of the circuit
Answer:
27.14 ohms
Explanation:
V = IR
V/I = R
1.9 v / .07 a = 27.14 ohms
The resistance to the motion of an object is
Answer:
Inertia
Explanation:
Part of Newton's Laws of Motion
In your opinion, Is the big bang theory a valid explanation for the beginning of time?
If so, what areas of research do you think has the greatest possibly for more discovery?
If not, what problems in the theory leads you to reject it? What might be an alternate theory?
(please give me a good long well thought out answer)
Answer:
I believe that the Big Bang Theory is a valid explanation for the beginning of time. Areas of research that have the greatest potential for more discovery include dark matter and dark energy, the nature of the inflationary period, and the origin of the matter-antimatter asymmetry.
Problems with the Big Bang Theory that lead me to reject it include the lack of a satisfactory explanation for the origin of the initial conditions of the universe, the lack of a satisfactory explanation for the origin of the matter-antimatter asymmetry, and the lack of a satisfactory explanation for the origin of the inflationary period. An alternate theory could be the Cyclic Universe Theory, which proposes that the universe goes through an infinite cycle of expansion and contraction.
How much heat must be added to 5.0 g of solid lead at 30.°C to convert it to liquid lead at the melting point?
an unknown element x has the following isotopes: ²⁵x (80.5 bundant) and ²⁷x (19.5 bundant). what is the approximate atomic mass of x?
The approximate atomic mass of element x is 25.39.
Isotopes refer to atoms of the same element having different numbers of neutrons in their nucleus. Each isotope has a different atomic mass because the atomic mass of an atom depends on the number of protons and neutrons in its nucleus.
The atomic mass of an element is defined as the sum of the atomic masses of its isotopes, each multiplied by its natural abundance. This means that if an unknown element has two isotopes with different abundances, we can find its atomic mass by multiplying the atomic mass of each isotope by its percentage abundance and then adding the results.
To calculate the approximate atomic mass of the unknown element x, we can use the following formula:
Atomic mass = (mass of isotope 1 x % abundance of isotope 1) + (mass of isotope 2 x % abundance of isotope 2)
Given that the element x has two isotopes:²⁵x (80.5% abundant)²⁷x (19.5% abundant)The approximate atomic mass of element x can be calculated as follows:
Atomic mass = (25 x 0.805) + (27 x 0.195)Atomic mass
= 20.125 + 5.265Atomic mass
= 25.39
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proof the equation of motion third
The proof of third equation of motion is determined as v² = 2as + u².
What is the proof of third equation of motion?
The proof of third equation of motion is determined as follows;
The first equation is given as;
v = u + at
t = ( v - u ) /a
where;
u is the initial velocitya is the accelerationt is the time of motionThe formula for the average distance traveled by an object is;
s = (v + u)/2 x t
Expand the equation above as;
s = (v + u)/2 x (v - u)/a
s = (v² - u²) / 2a
2as = v² - u²
v² = 2as + u², proved
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Which of the following are part of climactic plot structure?
a. Plot begins late in the story
b. Occurs in a restricted locale
c. Covers a short period of time
d. A limited number of characters
Both of the below elements, covering a short period of time and having a limited number of characters, are typically associated with climactic plot structure. The correct options are:
c. Covers a short period of time
d. A limited number of characters
This structure focuses on a specific event or conflict that unfolds rapidly and intensifies towards a climax, usually involving a small set of characters. The plot begins closer to the climax, omitting extensive exposition or background information, and often takes place in a restricted locale to maintain a sense of urgency and intensity.
Climactic plot structure refers to a narrative structure that focuses on a condensed timeframe and a limited number of characters. This type of plot structure often unfolds rapidly, with events building up to a climactic moment or turning point. By covering a short period of time and involving a small cast of characters, the climactic plot structure creates a sense of intensity and immediacy in the story, allowing for focused and impactful storytelling. This structure is commonly used in works such as short stories, plays, and films where brevity and concentrated impact are desired.
Therefore, options c and d are correct.
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a 3.89 ωω resistor, a 7.75 ωω resistor, and a 9.05 ωω resistor are connected in series with a 12.0 v battery. what is the equivalent resistance?
The equivalent resistance of the 3.89 Ω, 7.75 Ω, and 9.05 Ω resistors connected in series with a 12.0 V battery is 20.69 Ω.
The equivalent resistance of resistors connected in series is equal to the sum of the resistance of each resistor. Therefore, the equivalent resistance is: R = 3.89 Ω + 7.75 Ω + 9.05 Ω = 20.69 Ω
So, the equivalent resistance of the 3.89 Ω, 7.75 Ω, and 9.05 Ω resistors connected in series with a 12.0 V battery is 20.69 Ω.
The equivalent resistance of an electrical circuit refers to the single resistance that would have the same effect as the combination of multiple resistors in the circuit. It is a measure of the total opposition to current flow in the circuit. The equivalent resistance can be found by using various methods such as series, parallel, and combination circuits. The equivalent resistance of a circuit depends on the individual resistances, the connections between them, and the voltage and current in the circuit.
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a crate is lifted vertically 1.5m and then held at rest. the crate has a weight 100N. how much work was done in lifting the crate from the ground to its final position. now suppose the crate is lifted so rapidly that air resistance was significant during the raising. how much work was done by the lifting force as the box was raised 1.5m
The work done in lifting the crate vertically 1.5m from the ground to its final position is 150 J. However, if air resistance is significant during the lifting process, the work done by the lifting force would be less than 150 J due to the energy losses caused by air resistance.
When the crate is lifted vertically without significant air resistance, the work done is equal to the product of the force applied and the distance moved in the direction of the force.
In this case, the force applied is equal to the weight of the crate, which is 100 N, and the distance moved is 1.5m. Therefore, the work done is calculated as follows:
Work = Force × Distance
Work = 100 N × 1.5 m
Work = 150 J
This means that 150 Joules of work are done in lifting the crate from the ground to its final position, assuming no energy losses due to air resistance.
However, if air resistance becomes significant during the lifting process, some of the energy will be lost as heat due to the work done against air resistance.
Air resistance acts opposite to the direction of motion and reduces the net force applied on the crate, leading to a decrease in the work done by the lifting force.
Therefore, the actual work done by the lifting force would be less than 150 J. To determine the precise amount of work done under the influence of air resistance, additional information, such as the speed of lifting or the specific properties of the crate and its interaction with air, would be required.
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A swimmer heading directly across a river that is 200.0 m wide reaches the opposite bank in 6 min 40 s. During this swim, she is swept downstream 480 m. How fast can she swim in still water?Select one:
The swimmer can swim at a speed of 1.05 m/s in still water. Let v be the swimmer's speed in still water and u be the speed of the river's current. Since the swimmer is heading directly across the river, the distance traveled upstream (against the current) is the same as the distance traveled downstream (with the current).
Using the formula distance = speed x time, we can write two equations:
200 = (v - u) x (6 min 40 s)
200 = (v + u) x (t), where t is the time it takes to swim across the river without any current
We need to convert 6 min 40 s to minutes:
6 min 40 s = 6 + 40/60 = 6.67 min
Substituting this value into the first equation and solving for u, we get:
200/(6.67) = v - u
30 = v - u
Substituting this value of u into the second equation and solving for v, we get:
200/(t) = v + 30
v = 200/(t) - 30
Since we want to find the swimmer's speed in still water, we need to find t. We know that the total time for the swim (including the current) is 6 min 40 s, or 6.67 min. We also know that the distance traveled in the direction perpendicular to the river (the "crossing" distance) is equal to the hypotenuse of a right triangle with legs of 200 m and 480 m. Using the Pythagorean theorem, we can find the crossing distance:
crossing distance^2 = 200^2 + 480^2
crossing distance = sqrt(200^2 + 480^2) = 520.2 m
The time it takes to cross the river can be found using the formula distance = speed x time:
520.2 = v x (t - 6.67)
t - 6.67 = 520.2/v
Substituting this value of t into the expression for v that we derived earlier, we get:
v = 200/[(520.2/v) + 6.67] - 30
Solving this equation for v gives us:
v = 1.05 m/s
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for the image below, the focal length is 1/2 of the radius of curvature, object distance is 247 cm. the size of the object is 46 cm. what is the image size equal to in cm? remember that it could be positive or negative.
The image of the object is 12.4 cm.
Using the given values, we can use the lens formula: 1/f = 1/\(d_{0}\) + 1/\(d_{i}\), where f is the focal length, \(d_{0}\) is the object distance, and di is the image distance. Rearranging the formula to solve for di, we get: \(d_{i}\)= 1/(1/f - 1/\(d_{0}\)).
Substituting the given values, we get:
\(d_{i}\) = 1/(1/(2r) - 1/247)
\(d_{i}\) = -65.34 cm (negative sign indicates that the image is formed on the opposite side of the lens)
To find the image size, we can use the magnification
formula: m = \(h_{i}\)/\(h_{0}\) = -\(d_{i}\)/\(d_{0}\), where \(h_{i}\) is the image size and \(h_{0}\)is the object size.
Substituting the given values, we get:
m = \(h_{i}\)/\(h_{0}\) = -(-65.34)/247
m = 0.264
Rearranging the formula to solve for hi, we get:
\(h_{i}\)= m * \(h_{0}\)
\(h_{i}\) = 0.264 * 46 cm
\(h_{i}\) = 12.14 cm
Therefore, the image size is equal to 12.14 cm (rounded to two decimal places).
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Liquid containers are made of a variety of materials, each with
its own unique characteristics. Give specific examples of materials
used for liquid containers that are 1) covalently bonded, 2) metal
b
Liquid containers are necessary to store liquids or other fluids, and are manufactured using various materials. These materials have unique properties and physical characteristics to meet the diverse requirements of different fluids and their storage conditions. Two of the materials used to make liquid containers are covalently bonded and metal.
1) Covalently bonded materials:Covalent bonds are strong bonds formed between atoms by sharing electrons. Covalently bonded materials are non-metallic materials that use a covalent bond between atoms to form the material. Examples of covalently bonded materials that can be used to manufacture liquid containers include:
- Polyethylene Terephthalate (PET): PET is a plastic material used to make water bottles and soft drink bottles. PET is lightweight and unbreakable, making it ideal for shipping and storing liquids.
- Polypropylene (PP): PP is a popular plastic material that is lightweight, durable, and resistant to chemical reactions. PP is used to make containers that store harsh chemicals and strong acids, as well as food containers, such as yogurt cups and margarine tubs.
In conclusion, there are many materials available that can be used to manufacture liquid containers, including covalently bonded materials and metals. The choice of material used depends on the type of liquid being stored and the storage conditions.
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Energy energy can be transferred from one form to another we use many Indrajeet Converse in our daily life observe carefully to find these energy conversion your home make a list of any ten convert including their names along with their energy chains
Answer:
Find the list below.
Explanation:
Energy conversion imply the transformation of energy from one form to another. Examples of these conversions in my home include the following:
1. Chemical energy stored in food is converted to mechanical energy used in working(example sweeping)
2. Chemical energy stored in batteries are used to produce sound energy from the radio.
3. Electrical energy flowing through the wires are used to provide heat energy from the heating device.
4. Electric energy stored in the fan is converted to kinetic energy.
5. Chemical energy stored in petrol is converted to mechanical and electrical energies in the generator.
6. Electric energy supplied by the electric gas cooker is used to generate thermal energy after heating water.
7. Electrical energy flowing through the wires supply light energy in the bulbs.
8. Electric energy is converted to light and sound energy in the televisions.
9. Light energy from the sun is converted to chemical energy in the plants at the garden.
10. Electric energy is converted to sound and light energy in the kitchen blender.
A 100-Hz pure tone at a 70-dB sound level and a 1,000-Hz pure tone at the same sound level are heard separately. Do they sound equally loud?
yes or no? if not, which is louder, and why?
No, they do not sound equally loud. The loudness of a sound is also affected by the frequency of the sound, as well as the sound level.
How do we hear?The 1,000-Hz tone would sound louder than the 100-Hz tone, even though they are both at the same sound level of 70 dB. This is because the human ear is more sensitive to sounds in the frequency range of 2,000-4,000 Hz, which is where the peak of our hearing sensitivity occurs.
How is loudness measured?In this case, if we were to measure the loudness of the two tones in phons, the 1,000-Hz tone would have a higher phon value than the 100-Hz tone at the same sound level, indicating that it sounds louder to the human ear. The loudness of a sound is typically measured in units called phon, which take into account both the sound level and the frequency response of the human ear.
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Estimate the value of the gas-phase diffusion coefficient for the following gas pairs using the Hirschfelder equation
Helium and air
The Hirschfelder equation, D(air-He) = 2.22 x 10-5 cm2/s, can be used to calculate a gas-phase diffusion coefficient of air and helium.
What is Diffusion ?Difussion is a crucial step in the manufacturing of some products, including semiconductors, where it is utilised to create the proper chemical composition. It involves molecules moving from a region of higher concentration to one with a lower concentration. This phenomenon, which is brought about by the random movement of molecules, occurs naturally in all systems. The process of diffusion is crucial for a variety of processes, such as the transmission of heat, the exchange among gases during respiration, and the passage of nutrients through cell.
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parallel adaptive fluid–structure inter- action simulation of explosions impacting on building structures.
The phrase "parallel adaptive fluid–structure interaction simulation of explosions impacting on building structures" refers to a computational method used to study the effects of explosions on buildings. Let's break it down step by step:
"Parallel adaptive": This refers to the use of parallel computing techniques, where multiple processors or cores work together to solve the simulation problem faster. It allows for efficient computation of complex simulations by dividing the workload.
"Fluid–structure interaction": This term describes the interaction between a fluid (such as air or water) and a solid structure (such as a building) in a simulation. It considers how the fluid affects the structure and vice versa. In this case, it refers to how the explosion impacts the building and how the building responds to the explosion.
"Simulation of explosions impacting on building structures": This means that the simulation aims to model the effects of explosions on buildings. It can help researchers and engineers understand how buildings behave under explosive forces, and can be used to design safer structures or develop strategies to mitigate the damage caused by explosions.
The phrase refers to a computational method that uses parallel computing techniques to simulate the interaction between fluids and structures, specifically focusing on explosions impacting building structures. This simulation can provide valuable insights into the behavior of buildings under explosive forces.
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HELPPP!!! I will give Brainliest!!! super easy question
I have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?
Answer:
most likely just 1
Explanation:
I sucked at sig figs in middle school, in fact it was the lowest test grade i ever received, but it is relatively simple.
because there is only one sig fig involved in each number, there can't be multiple sig figs here. 3000/500=6
500/3000=2(round up from 1.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666) you get the point.
if you have 32 grams of water vapor in a bottle that holds 1.5 L what is the pressure at standard temperature?
Answer:
26.58 atm
Explanation:
By the ideal gas law, we have that:
\(PV=\text{nRT}\)Where P is the pressure, V is the volume, n is the number of moles, R is a constant equal to 0.08206 L atm/ mol K, and T is the temperature.
If we have 32 grams of water vapor, the number of moles will be equal to:
\(32\text{ grams }\times\frac{1\text{ mol}}{18.01\text{ gr}}=1.78\text{ moles}\)Because 18.01 gr is the molar mass of the vapor water.
On the other hand, the standard temperature is 273 K. So, replacing the values for each constant, we get:
\(\begin{gathered} PV=\text{nRT} \\ P(1.5L)=(1.78\text{ mol)}(0.08206\text{ }\frac{L\text{ atm}}{mol\text{ K}})(273\text{ K)} \\ P(1.5\text{ L) = 39.87 L atm} \end{gathered}\)So, dividing both sides by 1.5 L:
\(\begin{gathered} \frac{P(1.5L)}{1.5L}=\frac{39.87\text{ L atm}}{1.5} \\ P=26.58\text{ atm} \end{gathered}\)Therefore, the pressure is 26.58 atm.
What is the acceleration of a freely falling object 2 seconds after it has been released from a height of 100m? What is the acceleration of a freely falling object 5 seconds after it has been released from a height of 200 m?
The acceleration of a freely falling object is approximately 9.8 m/s^2 regardless of the height or time elapsed.
The acceleration of a freely falling object, ignoring air resistance, is constant and equal to the acceleration due to gravity, which is approximately 9.8 m/s^2.
1. Two seconds after being released from a height of 100 m:
The object has been in free fall for 2 seconds. To find the acceleration, we can use the formula:
d = 0.5 * g * t^2
where d is the distance fallen, g is the acceleration due to gravity, and t is the time in seconds.
Plugging in the values:
100 m = 0.5 * 9.8 m/s^2 * (2 s)^2
Simplifying the equation:
100 m = 0.5 * 9.8 m/s^2 * 4 s^2
100 m = 19.6 m/s^2 * 4 s^2
100 m = 78.4 m/s^2 * s^2
100 m = 78.4 m * s^2
s^2 = 100 m / 78.4 m
s^2 ≈ 1.276 s^2
Taking the square root of both sides:
s ≈ √(1.276 s^2)
s ≈ 1.13 s
Therefore, the acceleration of the object 2 seconds after being released from a height of 100 m is approximately 1.13 m/s^2.
2. Five seconds after being released from a height of 200 m:
Following the same procedure, we can calculate the acceleration:
200 m = 0.5 * 9.8 m/s^2 * (5 s)^2
200 m = 0.5 * 9.8 m/s^2 * 25 s^2
200 m = 122.5 m/s^2 * s^2
s^2 = 200 m / 122.5 m
s^2 ≈ 1.6327 s^2
Taking the square root:
s ≈ √(1.6327 s^2)
s ≈ 1.28 s
Therefore, the acceleration of the object 5 seconds after being released from a height of 200 m is approximately 1.28 m/s^2.
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6. A car accelerates from rest to 5m/s in 20 s. The force from the engine is 2000N. The force of air resistance and friction acting is 1000N. What is the cars mass?
Answer:
net force= 2000-1000=1000
a=v-u/t=5/20=1/4
m=?
m=f/a
=1000÷1/4=4000kg
as it goes around a horizontal curve whose radius is 150 m, your 1250 kg automobile is slowly picking up speed. the coefficient of static friction between the tires and the road is 0.800. at what speed will the car begin to skid sideways?
Speed will the car begin to skid sideways is 34.3m/s
Centripetal force is the force that causes an object to follow a curved path. Its direction is always orthogonal to the fixed point of the body's motion and the instantaneous center of curvature of the path.
Given;
Radius(R)=150m
Mass(m)=1250Kg
Static Friction(μs)=0.8
Calculation:
Here the necessary centripetal force is exerted by frictional force
mv^2/R=μmg
v=sqrt(μRg)
v =sqrt(0.8*150*9.8)
v =34.29m/s=34.3m/s
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what is one limitation of using a saltwater aquarium to model the ocean?
A. It can show only a small part of the actual ocean.
B. It can show how different ocean animals interact with each other.
C. It can show how certain plants grow in the ocean.
D. It can show how light affects ocean organisms.
Using a saltwater aquarium to model the ocean has limitations, such as showing only a small part of the actual ocean and being unable to replicate the vastness and complexity of the ocean ecosystem.
Explanation:One limitation of using a saltwater aquarium to model the ocean is that it can only show a small part of the actual ocean. Since an aquarium is confined and limited in size, it cannot realistically replicate the vastness and complexity of the ocean ecosystem. For example, it may not have the space to accommodate large marine animals like whales or the turbulent currents that exist in the open ocean. Therefore, it is important to recognize that while a saltwater aquarium can provide some insights into the ocean, it cannot fully capture the dynamic nature and diverse interactions found within the entire ocean ecosystem.
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