A. IF: Iodine monofluoride
The Lewis structure for IF is: I :F: (the colon represents a single bond)
The Lewis structure for IF3 is: F :I: F
IF5: Iodine pentafluoride
IF7: Iodine heptafluoride
B. IF: Iodine monofluoride Formal charges +1
IF3: Iodine trifluoride Formal charge -1
IF5: Iodine pentafluoride Formal charge = -3
IF7: Iodine heptafluoride Formal charge =-5
I: 7 valence electrons
F: 7 valence electrons
IF3: Iodine trifluoride
I: 7 valence electrons
F: 7 valence electrons
I: 7 valence electrons
F: 7 valence electrons
The Lewis structure for IF5 is:
F :I: F
| |
F--F
I: 7 valence electrons
F: 7 valence electrons
The Lewis structure for IF7 is: F :I: F
B.To determine the formal charge of the iodine atom in each molecule, we must subtract the number of non-bonding electrons (lone pairs) and half of the bonding electrons from the number of valence electrons. The number of valence electrons for iodine is 7.
IF: Iodine monofluoride
I has one lone pair and one bond to F.
Formal charge = 7 - 2 - ½(2) = 2-1 = +1
IF3: Iodine trifluoride
I has one lone pair and three bonds to F.
Formal charge = 7 - 2 - ½(6) = 2-3 = -1
IF5: Iodine pentafluoride
I has one lone pair and five bonds to F.
Formal charge = 7 - 2 - ½(10) = 2-5 = -3
IF7: Iodine heptafluoride
I has one lone pair and seven bonds to F.
Formal charge = 7 - 2 - ½(14) = 2-7 = -5
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Fill in the blanks: analysis of stellar spectra shows that most stars consist of 71% ___, 27% ____, and a 2% mix of the other elements.
Analysis of stellar spectra shows that most stars consist of 71% Hydrogen, 27% Helium, and a 2% mix of the other elements.
What is stellar spectra?Stellar spectra is the light from a star that has been separated into its components of different wavelengths. The spectrum consists of the visible light from the star, as well as infrared and ultraviolet light that is invisible to the human eye. By studying the stellar spectrum, astronomers can determine the temperature, composition, and motion of the star. The spectrum also reveals the presence of any elements present in the star's atmosphere, including metals and molecules. Studying the stellar spectrum is an important tool in understanding our universe.
Analysis of stellar spectra reveals the composition of stars, showing that most stars primarily consist of hydrogen (71%) and helium (27%), with a mix of other elements making up the remaining 2%.
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Suppose two protostars form at the same time, one with a mass of 0.5MSun and the other with a mass of 15MSun. Which of the following statements are true?
A. The 15MSun protostar will be much more luminous than the 0.5MSun protostar.
B. The 15MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage.
C. The 15MSun protostar will orbit the Milky Way Galaxy at much higher speed than the 0.5MSun protostar.
15 M sun star will end its main sequence life earlier. the 15M sun protostar will be more luminous.
When a protostar's core achieves a temperature of 15 million degrees, what happens?The excess gas surrounding the protostar is eventually removed by the wind and the jets, allowing the protostar to be seen. When a protostar reaches a core temperature of 10 million K, it enters the main sequence of stars. This is the temperature at which hydrogen fusion may function effectively.
How long before protostar forms? A star forms in 10 million years.The cores collapse first because they are denser than the outer cloud. The cores split into clumps between 10 and 50 solar masses in mass and 0.1 parsecs in size as they collide. It takes about 10 million years for these clumps to develop into protostars.
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iv. The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. What is the power of the lift? (1 point)
Answer:
Power is 4373.25 W
Explanation:
We have,
The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. It is required to find the power of the lift. Power is equal to the rate at which the work is done. So,
\(P=\dfrac{Fd}{t}\\\\P=\dfrac{8330\times 2.1}{4}\\\\P=4373.25\ W\)
So, the power of the lift is 4373.25 W.
So if any of ya got like, screenshots of all the answers for Edge, 2020. Lab-Kinetic Energy-student guide, That would be really helpful. If you could help me, then I will mark you brainliest. And for you trollers out there who just want the points, could you not steal them for this one? Anyways, thanks ya'll!
Answer:
has any one finished the lab yet?????
Explanation:
the total resistance of the series circuit is 17 ohms what is the resistance of R2
The value of the resistance of R₂, given that the total resistance in the circuit is 15 ohms is 5 ohms (option D)
How do i determine the resistance of R₂?The following data were obtained from the question:
Resistance 1 (R₁) = 10 ohms Total resistance in circuit (R) = 15 ohmsResistance 2 (R₂) = ?Total resistance in series connection is given by the following formula:
R = R₁ + R₂ + R₃ + ... + Rₙ
Inputting the various parameters given, we can obtain the resistance of R₂ as follow:
R = R₁ + R₂
15 = 10 + R₂
Collect like terms
R₂ = 15 - 10
R₂ = 5 ohms
Thus, we can conclude from the above calculation that the resistance of R₂ is 5 ohms (option D)
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Complete question:
See attached photo
Suppose that the current in a solenoid (total length is L and total turn is N) is I(t). Within the solenoid, but far from its ends, what is the expression of the magnetic field B(t) due to this current?Answer: μ0NI(t)/L. Shown solution
The expression of the magnetic field B(t) of solenoid due to this current is derived as μo (N I(t))/L
What is a solenoid and what does it do?A solenoid is a machine designed of a housing, a coil of wire, and a mechanical plunger (armature). A magnetic field that generates around the coil when an electrical current is applied pulls the plunger in. A solenoid, to put it simply, transforms electrical energy into mechanical work.
solenoid : length is L and turn is N
Current = I(t)
According to ampere's law;
∫B dL = μo I
B x L = μo (N I(t))
B= Magnetic field => μo (N I(t))/L
Is solenoid considered as magnet?An electromagnet called a solenoid is designed to create a controlled magnetic field. The main function of solenoids is to transform AC or DC electrical energy into linear motion.
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A secant-secant angle intercepts arcs that are 3/5 and 3/8 of the circle. if a chord-chord angle and its vertical angle intercept the same arc, what is the measure of the chord-chord angle?
The measure of the chord-chord angle is 175.5.
What is a chord in a circle?A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be remembered that a circle's diameter is defined as the lengthiest chord that runs across the center of the circle.
What is an angle in math?An angle is a figure created by two rays or lines that have the same termination in plane geometry. The Latin word "angulus," which meaning "corner," is where the term "angle" originates. The common terminal of the two rays—known as the vertex—is referred to as an angle's sides.
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How can you find a springs constant for the F=-Kx formula?
Answer:
As per the Hooke's Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring's length.
A rod is stretched 10 cm by an applied force. If the force is tripled while the radius of the cross sectional area is also tripled, how much will the rod stretch?____ cm
A rod is stretched 10 cm by an applied force. If the force is tripled while the radius of the cross sectional area is also tripled, then the rod will stretch by 3 cm. This can be determined by Hooke's Law.
When a force is applied to a rod, it undergoes deformation, resulting in a change in its length. According to Hooke's Law, the elongation of an object is directly proportional to the applied force and the material's stiffness. In this case, the initial stretching of the rod is 10 cm when a certain force is applied.
If the force is tripled, it becomes three times the original force. Simultaneously, the radius of the cross-sectional area is also tripled.
The formula for elongation in a rod is given by:
ΔL = (F * L) / (A * E)
Where:
ΔL is the change in length
F is the applied force
L is the initial length
A is the cross-sectional area
E is the modulus of elasticity
Since the radius is tripled, the cross-sectional area becomes nine times the original area (A' = 9A). However, since the length, initial force, and modulus of elasticity remain constant, the change in length (ΔL') will be proportional to the change in cross-sectional area.
ΔL' = (F' * L) / (A' * E)
Since the force (F') is tripled and the area (A') is nine times the original area, we can simplify the equation:
ΔL' = (3F * L) / (9A * E)
ΔL' = (1/3) * (F * L) / (A * E)
ΔL' = (1/3) * ΔL
Therefore, the rod will stretch by one-third of its initial stretch. Since the initial stretch was 10 cm, the rod will stretch by (1/3) * 10 cm = 3.33 cm. Rounded to the nearest centimeter, the rod will stretch by approximately 3 cm.
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The HNH Corporation will pay a constant dividend of $2 per share, per year, in perpetuity. Assume all investors pay a 20% tax on dividends and that there is no capital gains tax. Suppose that other investments with equivalent risk to HNH stock offer an after-tax return of 12%. Part A - What is the price of a share of HNH stock
The price of a share of HNH stock is approximately $20.83.
To determine the price of a share of HNH stock, we can use the dividend discount model (DDM). The DDM calculates the present value of all future dividends to estimate the stock price. In this case, the dividends are constant and paid in perpetuity.
The formula for the price of a share using the DDM is:
Price = Dividend / (Required Return - Growth Rate)
Where:
Dividend = Annual dividend per share = $2
Required Return = After-tax return = 12% - (20% of 12%) = 12% - 0.2 * 12% = 12% - 2.4% = 9.6% (converted to decimal)
Growth Rate = Since the dividend is constant, the growth rate is 0.
Plugging in the values:
Price = $2 / (0.096)
Price = $20.83
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Which of the following statements is true regarding minimum allowable bend radii for 1.5 inches OD or less aluminum alloy and steel tubing of the same size?
The minimum radius for steel is greater than for aluminum.
change the nut or washer and try again
Prevent excessive stress on the tubing.
The correct statement regarding minimum allowable bend radii for 1.5 inches OD or less aluminum alloy and steel tubing of the same size is:
The minimum radius for steel is greater than for aluminum.
This means that steel tubing requires a larger bend radius compared to aluminum tubing of the same size. It is important to follow the specified minimum bend radii to prevent excessive stress on the tubing. Using a smaller radius than recommended can result in deformation, cracking, or failure of the tubing. Therefore, it is necessary to adhere to the guidelines to ensure the structural integrity and longevity of the tubing.
When it comes to minimum allowable bend radii for 1.5 inches OD or less aluminum alloy and steel tubing of the same size, the true statement is that the minimum radius for steel is greater than for aluminum. This means that steel tubing requires a larger bend radius to avoid excessive stress on the material during bending.
Bend radii are important considerations in tubing applications as they directly impact the structural integrity and performance of the tubing. If the bend radius is too small, it can lead to deformation, cracking, or failure of the tubing, compromising its functionality and potentially causing safety concerns.
Steel tubing typically has a higher yield strength and greater stiffness compared to aluminum, which is why it requires a larger bend radius. Aluminum alloys, on the other hand, are more ductile and can withstand smaller bend radii without compromising their structural integrity.
Adhering to the specified minimum bend radii ensures that the tubing is bent within safe limits, preventing excessive stress concentrations and maintaining the desired mechanical properties. It is essential to follow these guidelines to ensure the longevity and reliability of the tubing in various applications, including automotive, aerospace, construction, and industrial sectors.
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What make race condition bad? name and briefly desribe two distince factors needed for a race
when two computer program processes, or threads, attempt to access the same resource at the same time and cause problems in the system and it makes race condition bad.
Which of the following conditions can result in a race condition?When race conditions develop. When two threads access a shared variable at the same time, a race condition occurs. The first thread reads the variable, and the second thread reads the variable's value. A race condition is an undesirable situation that occurs when a device or system attempts to perform two or more operations at the same time, but the operations must be performed in the correct sequence due to the nature of the device or system.A race condition is a program condition in which the behavior is dependent on the relative timing or interleaving of multiple threads or processes. One or more of the possible outcomes may be harmful, resulting in a bug. This is referred to as nondeterministic behavior.
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what was Galleos contribution to the study of motion ?
Answer:
B ) He was the first to systematically study force and motion.
Explanation:
I seen this one before and know the answer since there's 4 options
Describe at least three ways our understanding of the atom has changed.
Answer:
The first model of the atom was developed by JJ Thomson in 1904, who thought that atoms were composed purely of negatively charged electrons.
This theory was then disproved by Ernest Rutherford and the gold foil experiment in 1911, where Rutherford shot alpha particles at gold foil, and noticed that some went through and some bounced back, implying the existence of a positive nucleus.
In 1926, the Austrian physicist Erwin Schrödinger created a quantum mechanical model of the atom by combining the equations for the behavior of waves with the de Broglie equation to generate a mathematical model for the distribution of electrons in an atom.
Explanation:
A 5kg particle moving at a speed of 10m/s to the right makes an elastic collision with a wall and rebounds backward calculate the magnitude of the impulse of the body
Answer:
The magnitude of the impulse experienced by the particle is 100 kg.m/s.
Explanation:
Given;
mass of the particle, m = 5 kg
initial velocity of the particle, v₁ = 10 m/s
assuming the particle rebounds with same velocity backwards, v₂ = - 10 m/s
The impulse experienced by the particle is the change in linear momentum;
J = ΔP = mv₁ - mv₂
J = m(v₁ - v₂)
J = 5 (10 - (-10))
J = 5 (10 + 10)
J = 5(20)
J = 100 kg.m/s
Therefore, the magnitude of the impulse experienced by the particle is 100 kg.m/s.
Question Content Area Texas Inc. has 5,396 shares of 4%, $100 par value cumulative preferred stock and 96,402 shares of $1 par value common stock outstanding at December 31. What is the annual dividend on the preferred stock
The annual dividend on the preferred stock is $21,584. In order to calculate the annual dividend on Texas Inc.'s preferred stock, we'll need to use the information provided about shares outstanding, par value, and the dividend rate.
Texas Inc. has 5,396 shares of 4%, $100 par value cumulative preferred stock. Here's how to calculate the annual dividend:
1. Determine the par value per share: $100
2. Multiply the par value by the dividend rate (4%): $100 * 0.04 = $4
3. Multiply the dividend per share by the number of shares outstanding (5,396): $4 * 5,396 = $21,584
The annual dividend on the preferred stock is $21,584.
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Only negative charges move
True
False
No two electrons in an atom can have the same four quantum numbers. This is a statement attributed to.
No two electrons in an atom can have identical four quantum numbers. This is a statement that is attributed to the Pauli Exclusion Principle.
It states that in an atom or molecule, no two electrons can possess the same four electronic quantum numbers. As an orbital can accommodate a maximum of only two electrons, the two electrons must have opposite spins. This means if one electron is allotted a spin-up electron, the other electron must be a spin-down electron.
The adequacy of an orbital to accommodate electrons is decided by Pauli's exclusion principle. According to this principle, for an electron belonging to the same orbital, the spin quantum number must be different since the other three quantum numbers are the same.
The spin quantum number can have two values: +1/2 and -1/2.
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let this oscillator have the same energy as a mass on a spring, with the same k and m , released from rest at a displacement of 5.00cm from equilibrium. what is the quantum number n of the state of the harmonic oscillator?
The quantum number n of the state of the harmonic oscillator is approximately 40.6.
The energy of a simple harmonic oscillator with mass m and spring constant k, when it is at a displacement x from equilibrium, is given by:
E = (n + 1/2)ħω
where
n is the quantum number,
ħ is the reduced Planck's constant, and
ω is the angular frequency of the oscillator, which is related to k and m by:
ω = √(k/m)
If the same energy as a mass on a spring, with the same k and m, released from rest at a displacement of 5.00 cm from equilibrium is given to the oscillator, we can equate the energies:
\(E = 1/2 kx^2\)
= (n + 1/2)ħω
Substituting ω = √(k/m), we get:
\(1/2 kx^2\) = (n + 1/2)ħ√(k/m)
Solving for n, we get:
\(n = [(1/2 kx^2)/(h\sqrt{(k/m))}] - 1/2\)
Substituting the given values of k, m, x, and ħ, we get:
\(n = [(1/2)(k)(0.05 m)^2]/[(1.05457 * 10^{-34} J s)\sqrt{(k/0.1 kg)}] - 1/2\)
Simplifying, we get:
n = 40.6
Therefore, the quantum number n of the state of the harmonic oscillator is approximately 40.6.
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Line of charge A plastic rod is placed along the horizontal from x = -2.0 m tox=2.0 m. A charge Q = 5 nC is spread uniformly along the line. Use this information to answer each of the question on the side. 3 20 points D What is the value of the potential difference VA-Vg for a point A at coordinates XA = 4.1 m, y = 0 and a point B at coordinates XB = -9.1 m, y = 0.? Round off your answer to one decimal place but do not include the unit. Include the negative sign if appropriate. Type your answer...
The potential difference VA-VB between point A and point B is -78.9 V.
To calculate the potential difference between two points, we can use the formula:
ΔV = k * Q / r
where ΔV is the potential difference, k is Coulomb's constant (9.0 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance between the points.
In this case, point A is located at coordinates (4.1 m, 0) and point B is located at coordinates (-9.1 m, 0). The distance between A and B is the difference in their x-coordinates:
r = |XA - XB| = |4.1 m - (-9.1 m)| = 13.2 m
Substituting the values into the formula, we have:
ΔV = (9.0 x \(10^9\) \(Nm^2/C^2\)) * (5 x \(10^-^9 C\)) / 13.2 m
ΔV ≈ -78.9 V
Therefore, the potential difference VA-VB between point A and point B is approximately -78.9 V.
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A ball is traveling 24° above the horizontal at a speed of 12 m/s. What is the vertical component of its speed?
Answer:
4.88 m/s
Explanation:
Vertical component would be 12 * sin 24 = 4.88 m/s
Horizontal is 12 * cos 24
What is the mass of a person that weighs 500 N on earth?
Answer:
M=51kg
Explanation:
Weight= Mass x Gravitational Acceleration
500N= M x 9.8 m/s^2
M= 51 kg
One force of magnitude 61 acts on an object. Another force of magnitude 92 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Given:
The first force acting on the object is 61.
The second force acting on the object is 92.
The angle between two forces is 90.
The resultant force acting on the object is,
\(F=\sqrt[]{F^2_{1^{}}+F^2_{2^{}}+2F_1F_2\cos \theta}\)Substitute the known values,
\(\begin{gathered} F=\sqrt[]{(61)^2+(92)^2+2(61)(92)\cos 90} \\ =\sqrt[]{3721+8464+0} \\ =\sqrt[]{12185} \\ \approx110.4 \end{gathered}\)Thus, the resultant force acting on the object is 110.4.
Is air in a balloon solid or gas?
gas is the answer for this question
can you make me a brainlist
Which of the following is an accurate example of Newton's third law?
1= A girl is able to pull a sled by exerting greater force on the sled than the sled exerts on her, this produces a net force on the sled.
2= A hockey puck slides at constant velocity on frictionless ice.
3= A punter kicks a football high into the air, the force on the person's foot is less than the force on the football
4= none of the above
Explanation:
I belive it is 1 or 4
Answer:
I believe the answer is 4
Explanation:
4= none of the above
1. What kind of spectrum (continuous, bright line or dark line) would you expect to see (in visivble light) from each of the following objects? Explain how you reached each conclusion. a. a steel girder, still glowing as it is removed from its mold b. sunlight shining through our atmosphere (as seen from Earth's surface) c. the Orion Nebula (a hot, glowing cloud of thin gases)
2. The planets in our solar system show regularities and trends that suggest they formed in a rotating disk of gases and dust grains called solar nebula. Describe three of these regularities/trends and their significance in the solar nebula concept.
1. a. A steel girder, still glowing as it is removed from its mold, would produce a **bright line spectrum**. This is because the intense heat causes the atoms in the steel to emit light at specific wavelengths. The high temperature excites the electrons in the atoms, and as they return to lower energy levels, they emit photons of specific energies, resulting in distinct bright lines in the spectrum.
b. Sunlight shining through our atmosphere (as seen from Earth's surface) would produce a **continuous spectrum**. The sunlight consists of a broad range of wavelengths, covering the entire visible spectrum. As it passes through Earth's atmosphere, which contains various gases, particles, and molecules, these components do not selectively absorb or emit specific wavelengths, resulting in a continuous distribution of colors in the spectrum.
c. The Orion Nebula, a hot, glowing cloud of thin gases, would exhibit an **emission line spectrum**. The gases in the nebula are energized by nearby stars, causing them to emit light at specific wavelengths characteristic of the elements present. The excited electrons in the gas atoms emit photons at discrete energies, creating bright lines in the spectrum corresponding to specific elements or molecular transitions.
2. Three regularities/trends observed in the planets of our solar system that support the solar nebula concept are:
a. **Orbital Plane Alignment**: Most planets orbit the Sun in a nearly flat plane known as the ecliptic. This alignment suggests that the planets formed from a rotating disk of gas and dust, as the rotation of the solar nebula would have caused material to flatten into a disk-shaped structure.
b. **Terrestrial and Jovian Planet Differences**: There is a clear distinction between the inner terrestrial planets (Mercury, Venus, Earth, and Mars) and the outer gas giant planets (Jupiter, Saturn, Uranus, and Neptune). The terrestrial planets are smaller, denser, and composed mainly of rocky material, while the gas giants are larger, less dense, and composed mostly of hydrogen and helium. This supports the idea that the solar nebula had different zones with varying compositions and temperatures, leading to the formation of different types of planets.
c. **Rocky Debris in Inner Solar System**: In the inner solar system, there are numerous rocky asteroids and comets, which are remnants from the early stages of planet formation. These bodies are predominantly found in the asteroid belt between Mars and Jupiter and the Kuiper Belt beyond Neptune. Their presence suggests that rocky material was abundant closer to the Sun, while the outer regions contained more gas and icy material.
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You are involved in a minor collision at an intersection. There are no injuries and very little vehicle damage. You should:
In a minor collision at an intersection with no injuries and minimal vehicle damage, you should first ensure the safety of all involved by moving your vehicles to a safe location, if possible.
Even if there are no injuries and the vehicle damage is minor, it is important to follow certain steps after a collision. The first step is to move your vehicle to a safe place off the road, if possible. Then, exchange information with the other driver, including names, phone numbers, insurance information, and vehicle registration numbers. You should also take pictures of the damage to both vehicles and the surrounding area.
If there were any witnesses, it is a good idea to get their contact information as well. Finally, report the accident to your insurance company as soon as possible. Remember, even minor collisions can have long-term effects, so it is important to take all necessary precautions and document everything.
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A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure (Figure 1) ). The pulley is a uniform disk with mass 10.0kg and radius 47.0cm and turns on frictionless bearings. You measure that the stone travels a distance 12.3m during a time interval of 3.20s starting from rest.no title providedA.Find the mass of the stone.Take the free fall acceleration to be9.80\;{\rm m/s^{2}}.B.Find the tension in the wire.Take the free fall acceleration to be9.80\;{\rm m/s^{2}}.
The mass of the stone is approximately 5.00 kg and tension is 11N taking free acceleration 9.8 m/s2.
A. To find the mass of the stone, first calculate the acceleration of the stone.
Step 1: Calculate the acceleration using the formula:
a = (2 * d) / (t^2)
where a is acceleration, d is the distance traveled (12.3m), and t is the time interval (3.20s).
a = (2 * 12.3) / (3.20^2)
a ≈ 2.398 m/s²
Step 2: Find the angular acceleration (α) of the pulley using the formula:
α = a / r
where r is the radius of the pulley (0.47m).
α ≈ 2.398 / 0.47
α ≈ 5.102 rad/s²
Step 3: Calculate the torque (τ) acting on the pulley using the formula:
τ = I * α
where I is the moment of inertia of the pulley (I = 1/2 * M * r^2) and M is the mass of the pulley (10.0kg).
I = 1/2 * 10.0 * (0.47^2)
I ≈ 1.103 kg*m²
τ ≈ 1.103 * 5.102
τ ≈ 5.631 N*m
Step 4: Calculate the tension in the wire (T) using the formula:
τ = T * r
T = τ / r
T ≈ 5.631 / 0.47
T ≈ 11.982 N
Step 5: Calculate the mass of the stone (m) using the formula:
T = m * a
m = T / a
m ≈ 11.982 / 2.398
m ≈ 5.00 kg
So, the mass of the stone is approximately 5.00 kg and tension is 11N .
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An ant walks 15 m east, then 40 m north, and finally 20 m west. What is the total displacement from the starting point
Answer: 40.311 m
Explanation:
Given
Ant walks 15 m east
then 40 m North and finally 20 m west
from the figure, ant is 40 m North and 5 m west
Using Pythagoras, we can write
\(\Rightarrow d=\sqrt{40^2+5^2}\\\Rightarrow d=\sqrt{1625}=40.311\ m\)
An adventurer pulls a loaded sled with a mass of 56 kg along a horizontal meadow at a constant speed. The adventurer applies 260 N of force the rope and the angle of the rope between the sled and the adventurer is 55°. What is the coefficient of friction between the sled and the ground?
Answer:his tension is 262 N
Explanation:1) Call T the tension of the rope2) Split T into its horizontal and vertical components.3) Horizontal component of the tension, Tx = T cos(55°)4) Vertical component of the tension, Ty = T sin (55°)5) Force equilibrium in the vertical direcction:∑Fy = 0Ty + normal force - weight of the sled = 0Call N the normal forceTy + N - 56 kg * 9.8 m/s^2Ty + N = 56 kg * 9.8 m/s^2Ty + N = 548.8NT sin(55) + N = 548.8N6) Force equilibrium in the horizontal directionconstant velocity => ∑Fx = 0Tx - Fx = 0Tcos(55) - Fx = 07) Fx is the friction force.The friction force and the normal force are related by the kinetic friction coefficient.Call μk the friction coefficientFx = μk N=> Tcos(55) - μk N = 0Tcos(55) - 0.45N = 08) Solve the system of two equations:Eq (1) T sin(55) + N = 548.8Eq (2) T cos(55) - 0.45N = 0Eq(1) 0.819T + N = 548.8Eq(2) 0.574T - 0.45N = 0The solution of the system is T = 262.01 N and N = 334.21 NThen T ≈ 262N