Answer:
a = [tex]\frac{m}{m+ \frac{1}{2} m_p} \ g \ sin \beta[/tex] , t = [tex]\sqrt{ \frac{2d}{a} }[/tex]
Explanation:
To solve this exercise we must use Newton's second law
For the block
let's set a reference system with the x axis parallel to the plane
X axis
Wₓ - T = m a
Y axis
N- W_y = 0
N = W_y
for pulley
∑τ = I α
T R = (½ m_p R²) α
let's use trigonometry for the weight components
sin β = Wₓ / W
cos β = W_y / W
Wx = W sin β
angular and linear variables are related
a = α R
α = a / R
we substitute and group our equations
W sin β - T = m a
T R = ½ m_p R² (a / R)
W sin β - T = m a
T = ½ m_p a
we solve the system of equations
W sin β = (m + ½ m_p) a
a = [tex]\frac{m}{m+ \frac{1}{2} m_p} \ g \ sin \beta[/tex]
let's find the time to travel the distance (d) through the block
x = v₀ t + ½ a t²
d = 0 + ½ a t²
t = [tex]\sqrt{ \frac{2d}{a} }[/tex]
By definition, if one coulomb of charge passes between two electrodes that differ in potential by one volt, one __________ of energy is released. This relationship is correctly expressed as V = ______/______.
one of released energy for each coulomb of charge that travels across electrodes with a one volt potential difference. V joule, J/C is the correct way to describe this relationship.
What do the electrodes in your body do?A tool that transfers electricity from just an instrument to something like a patient for therapy or surgery. Examples include a tiny metal plate or needle. In order to help recorders diagnose certain problems, electrodes can also transport electrical impulses from the heart, brain, muscles, skin, or other physiological regions.
Simply put, what is an electrode?An electrode is a conductor for electricity that establishes electrical contact with nonmetallic components of a circuit, like an electrolyte, a semiconductor, or a vacuum. This may also go by the names anode or cathode if it is a part of an electrochemical cell.
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at a given temperature, the values of rate constants for the forward and reverse reaction are ____ and the ratio of k is equal to the ____ constant for the reaction.
The ratio of k is equal towards the temperature constant for such reaction constants at a certain temperature, and the values of the rate constants for the forward or reverse reactions are concentrations at that temperature.
What are forward and reverse reactions?A forward response is a reversible reaction wherein products are created from reactants so it moves from left to right. A reversible reaction that moves from right to left is referred to as a backward reaction since reactants are created from products.
What do you call a reversible reaction?In some oxidation processes, the reaction's products might combine to form the reactants' original form. Reversible reactions are what they are referred to as. To illustrate them, use the formula: A + B C + D.
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The values of the rate constants for the forward or reverse reactions are concentrations at that temperature, and the ratio of k is equal towards the temperature constant for such reaction constants.
Why is a reaction reversible?
A chemical reaction that is reversible occurs when the reactants generate products, which then combine to return the reactants to their original state.
When the rate of the forward reaction and the rate of the reverse reaction are equal, equilibrium is reached. At equilibrium, the concentrations of all the reactants and products are fixed. The amount of reactant to product in a chemical reaction can be compared to derive the equilibrium constant, which is used to predict chemical behavior. The rate constants are fixed at some temperature.
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A 95kg solid sphere with a radius of 15cm is suspended by a vertical wire attached to the ceiling of a room. A torque of 0.20Nm is required to twist the sphere through an angle of 0.85rad. What is the period of oscillation when the sphere is released from this position?
The period of oscillation of the sphere is 161 seconds.
What is oscillation?
Oscillation is the repetitive movement of a particle or system about a central position or equilibrium point. Oscillations can occur in a variety of forms, such as periodic oscillations (which repeat at regular intervals), damped oscillations (which gradually decrease in amplitude over time), and driven oscillations (which are driven by an external force).
To find the period of oscillation of the sphere, you need to know its angular frequency, which is given by the following formula:
angular frequency = sqrt(k / I)
where k is the angular spring constant (also known as the torsional spring constant), and I is the moment of inertia of the sphere.
The angular spring constant is given by the following formula:
k = torque / angle of twist
Plugging in the values from the problem, you get:
k = 0.20Nm / 0.85rad = 0.235Nm/rad
The moment of inertia of a solid sphere is given by the following formula:
I = (2/5) * mass * radius^2
Plugging in the values from the problem, you get:
I = (2/5) * 95kg * (15cm)^2 = 6750kg*cm^2
Plugging these values into the formula for angular frequency, you get:
angular frequency = sqrt(0.235Nm/rad / 6750kg*cm^2) = 0.0062rad/s
The period of oscillation is the reciprocal of the angular frequency, so you can calculate it using the following formula:
period = 1 / angular frequency
Plugging in the value for angular frequency that you calculated above, you get:
period = 1 / 0.0062rad/s = 161s
Therefore, the period of oscillation is 161 seconds.
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Due to the nature of this problem, do not use rounded intermediate values in your calculations
Find the currents flowing in the circuit in the figure below. (Assume the resistances are
R1 = 20 Ω,
R2 = 6 Ω,
R3 = 15 Ω,
R4 = 10 Ω,
r1 = 0.5 Ω,
r2 = 0.25 Ω,
r3 = 0.25 Ω,
and
r4 = 0.5 Ω.)
I1 = A
I2 = A
I3 = A
The currents flowing in the circuit in the given figure are;
I₁ = 0.47855 A, I₂ = -0.428 A, I₃ = 1.02445 A
How to find the current in the circuit by Kirchoffs' Voltage Law?Kirchhoff's voltage law states that the algebraic sum of the potential differences in any loop must be equal to zero as: ΣV = 0.
Given the various resistances and circuit we will apply Kirchhoff's voltage law and Junction Law
Apply Kirchhoff's law to the left side loop to get;
E₁ + E₂ = ( r₁ + R₁ + R₄ ) I₁ + ( R₂ + r₂ ) I₃
18 + 3 = (0.5 + 20 + 10)I₁ + (6 + 0.25) I₃
21 = 30.5 I₁ + 6.25 I₃ ----( 1 )
Apply Kirchhoff's law to the right side loop to get;
E₃ - E₄ - E₂ = (r₃ + r₄ + R₃)I₂ - (r₂ + R₂)I₃
12 - 24 - 3 = (0.25 + 0.5 + 15) I₂ - (0.25 + 6) I₃
-15 = 15.75I₂ - 6.25 I₃ --- ( 2 )
Applying the law of Junction to get;
I₁ = I₂ + I₃
Put I₂ + I₃ for I₁ in eq 1 to get;
21 = 30.5(I₂ + I₃) + 6.25 I₃
21 = 30.5I₂ + 30.5I₃ + 6.25 I₃
21 = 30.5I₂ + 36.75I₃ -----(3)
Solving equations 2 and 3 simultaneously gives us;
I₁ = 0.492 A, I₂ = -0.5459 A, I₃ = 1.02445 A
Thus;
I₁ = -0.5459 + 1.02445
I₁ = 0.47855
Hence we can conclude that the currents flowing in the circuit are as follows : I₁ = 0.47855 A, I₂ = -0.428 A, I₃ = 1.02445 A
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onsider laminar flow of a fluid through a square channel with smooth surfaces. now the average velocity of the fluid is doubled. determine the change in the head loss of the fluid. assume the flow regime remains unchanged
The head loss doubles when the average velocity is doubled.
The velocity formula: why?
The vector quantity velocity (v), denoted by equation v = s/t, quantifies dislocation (or shift in position, s), over change in time (t).
How do velocity and speed differ?Velocity is the pace and direction of the an object's movement, whereas speed is the timekeeping at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is indeed a scalar value.
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Suppose that Energizer makes AA batteries that, when placed in an electronic device, have a lifetime that is normally distributed with a mean of 360 minutes and a standard deviation of 25 minutes. (a) What is the 90th percentile of AA battery life? ( 2pts ) (b) If 5 batteries are randomly selected, what is the probability that at least one of the five lasts less than 330 minutes? (3 pts)
The x is the number of hours. want to determine the probability (P) x >= 13 To convert it to a percentage, multiply it by 100, yielding 84.13%.
Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. If x is N(14,1), it can be transformed to N(0,1) using z = (x - mean) / standard deviation and the probability can be calculated using a conventional normal probability table.
P(x > 13)
= P(z > (13 - 14)/1)
= P(z > -1)
= 1 minus P(z -1)
= 1 minus 0.1587
= 0.8413
To convert it to a percentage, multiply it by 100, yielding 84.13%.
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an object is thrown into the air and follows the path shown in the diagram above. Neglecting air resistance, which vector best represents the acceleration of the object at point A?
Answer: 3 (c)
Explanation: The only force acting on the object is the force of gravity, mg, which acts straight downward. Even though the object has horizontal velocity, there is no horizontal force after the object is done being thrown.
PLEASE HELP ME ANSWER THE PHYSICS QUESTIONS ON MY PROFILE!!! i will give brainliest to the first to answer!!! this one and the other ones LAST QUESTION!!!!!!!!!!!!! GET A BRAINLIEST
How far does a plane fly in 18 s while its velocity is changing from 146 m/s to 78 m/s at a uniform rate of acceleration?
In the figure, a red car and a green car, identical except for the colour, move toward each other in adjacent lanes and parallel to the xâaxis. At time t=0, the red car is at x r =0, and the green car is at x g =220m. If the red car has a constant velocity of 20km/h, the cars pass each other at x=44.5m, and if it has a constant velocity of 40km/h, they pass each other at x=76.6m. What is the constant acceleration of the green car?
The constant acceleration of the green car which passes red color car is 2.81 m/s^2.
In this problem, the initial positions of the red and green cars are xr = 0 and xg = 220 m, respectively, and their initial velocities are vr = 20 km/h and vg = 0. When the red car has a velocity of 20 km/h, the cars pass each other at x = 44.5 m, and when the red car has a velocity of 40 km/h, they pass each other at x = 76.6 m.
We can use these two equations to solve for the acceleration of the green car. First, we convert the velocities from kilometers per hour to meters per second by dividing by 3.6. This gives us vr = 5.56 m/s and vg = 0 m/s.
Then, we can substitute these values into the equation for position and solve for the acceleration. When the red car has a velocity of 20 km/h, the equation becomes:
x = 0 + 5.56t + 1/2at^2
x = 44.5
Solving for a, we find that the acceleration of the green car is a = 2.61 m/s^2.
When the red car has a velocity of 40 km/h, the equation becomes:
x = 220 + 11.11t + 1/2at^2
x = 76.6
Solving for a, we find that the acceleration of the green car is a = 2.61 m/s^2.
When the red car has a velocity of 40 km/h, the equation becomes:
x = 220 + 11.11t + 1/2at^2
x = 76.6
Solving for a, we find that the acceleration of the green car is a = 3.02 m/s^2.
Since the acceleration is the same in both cases, we can take the average of these two values to find the constant acceleration of the green car. The average of 2.61 m/s^2 and 3.02 m/s^2 is 2.81 m/s^2.
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13. Which statement BEST describes one of the differences between the Wechsler tests and the older Stanford-Binet tests?
Wechsler tests provides scores on seven different types of intelligence; Stanford-Binet tests did not.
Wechsler tests distinguishes between general and specific intelligence; Stanford-Binet tests did not.
O
Wechsler tests musical ability as well as general intelligence; Stanford-Binet tests did not.
Wechsler tests removed the concept of mental age that was part of the Stanford-Binet tests.
Answer:
B. Wechsler tests distinguishes between general and specific intelligence; Stanford-Binet tests did not.
Explanation:
One of the main differences between the Wechsler and Stanford-Binet tests is that the Wechsler tests distinguish between general and specific intelligence. This means that the Wechsler tests provide separate scores for different types of intelligence, such as verbal comprehension and perceptual reasoning, whereas the Stanford-Binet tests did not. Additionally, the Wechsler tests measure a wider range of abilities than the Stanford-Binet tests, including musical ability and memory. The Wechsler tests also do not use the concept of mental age, which was a key feature of the Stanford-Binet tests.
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Ibrahim is a 15-year-old boy. He has been suspended for fighting on school property. How would a psychologist who emphasizes the social learning perspective explain this behavior?
A) Ibrahim has been rewarded for previous aggressive behavior.
B) Ibrahim has observed others who model aggressive behavior.
C) Ibrahim is at a stage in development when increases in male hormones predispose him to engage in aggression.
D) Ibrahim has projected his aggressive impulses onto others and anticipates that they will behave aggressively toward him.
The psychologist who emphasizes the social learning perspective explain this behavior would say that Ibrahim has observed others who model aggressive behavior. Option B
What is meant by aggressive behavior?According to social psychology, aggression refers to any conduct or action intended to hurt a person, an animal, or cause physical injury to property. Here are a few instances of aggressive behavior: physical harm. screaming, cursing, and foul language.
Aggression is an overt or covert social engagement that is frequently harmful and intended to cause harm to another person.
Aggressive behavior is forceful, reactive, and impulsive behavior that frequently leads to breaching social norms or the law.
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What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic? << Read Less
The most difficult issue about developing a research topic can be to raise the right questions, while strategies to use when we already have information about how to develop a quality topic is to develop suitable experiments and or observational procedures.
What is the scientific method?The scientific method is a series of well organized steps used to collect scientific information, which is first based on observation of the real words that can be used to raise questions in order to understand such observations.
Subsequently, the scientific method requires raising explanations or hypotheses which may be tested (either confirmed or rejected) by experiments and or observational procedures.
Therefore, with this data, we can see that the scientific method is based on asking the right questions, which then leads us to develop experimental procedures or also observations in order to test the working hypothesis.
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a spring with a spring constant of 49 n/m has a 7.2 kg mass hanging from the bottom of it how fast is the mass moving when it passes the equilibrium point
Answer:
ω = (K / M)^1/2 fundamental frequency for Simple Harmonic Motion
ω = (49 kg-m / (sec^2 - m) * 7.2 kg)^1/2 = 2.61 /sec
F = -K A Hooke's Law and spring constant
A = 7.2 kg * 9.80 m/s^2 / 49 n/m = 1.44 m amplitude
V = ω A = 2.61 / sec * 1.44 m = 3.6 m/s maximum speed
a circular loop of wire with a radius of 15.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. a field of 1.2 t is directed along the positive z-direction, which is upward.
After solving the equation the the positive z-direction is 36.88 volts are the EMF is the correct answer.
Due to that,
Radius: 15 cm = 0.15 meters
The formula for the area of a circle can be used to calculate the area of the circular loop.
A = π r²
A = π × 0.15²
A = 0.0708 m²
B = 1.2T magnetic field in the positive z direction
B = 1.2 •k T.
If loop is deleted from the field during the specified time period
∆t = 2.3ms = 2.3×10^-3s
The stated average EMF is what we are looking for, and it is
ε = —∆Φ/∆t
There is no further flow.
Φf = 0
When the magnetic flux is expressed as
I = BACosΘ
where =0 since both the magnetic field and the area are pointing in the same direction.
I=BA Cos0
Φi = BA
Φi = 1.2 × 0.0708
Φi = 0.0848 Vs
Then, ε = —∆Φ/∆t
ε = —(Φf — Φi) / ∆t
ε = —(0-0.0848) / (2.3×10^-3)
ε = 0.0848 / (2.3×10^-3)
ε = 36.88 V
36.88 volts are the EMF.
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can anyone please help me answer this question the assignment will close in 30 mins please help me quick
Answer: D. 34.03
Explanation:
To solve this problem, we can use the equation for the conservation of energy, which states that the change in internal energy of a closed system is equal to the heat added to the system. We can express this equation as follows:
A submarine is in water of density 1.0x 10 kg/m³. The submarine changes its depth. This causes
the pressure on it to change by 0.10 MPa.
What is the change in depth of the submarine?
A 0.10m
C 100m
B 10m
D 1000 m
Answer:
1000m
Explanation:
Pressure = p x g x h
0.1 x 10^6 = 10 x 10 x h
(0.1 x 10^6) / 100
h = 1000m
I hope my answer helps you.
How much work is done on a 6.4N box of books that you move horizontally across a 6.1 meter room?
Answer:
39.04 J
Explanation:
Definition of work
[tex]W=fd[/tex]
[tex]W=[/tex] Work
[tex]f=[/tex] force
[tex]d=[/tex] displacement
In this case,
[tex]f=6.4[/tex]
[tex]d=6.1[/tex]
[tex]W=6.4*6.1[/tex]
[tex]W=39.04[/tex]
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to: O donate Hydrogen ions O complete their nucleus O donate Hydroxyl ions O complete their outer electron orbital area (shell)
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).
When both the cases are fulfilled i.e. when the enthalpy change is negative and the entropy change is positive, the reaction is said to be spontaneous and thus enthalpy and entropy are the two thermodynamic driving forces of chemical reactions.
Formation of a solid (precipitate)The creation of water.Electron transfer.Gas formationThere are several factors that affects the driving force:
1. Release of heat (exothermic reactions are driven)
2. Free energy – the change in free energy should be negative
3. Entropy – An increase in entropy drives a reaction
4. Equilibrium Shift - Removal of products drives the reaction
The general driving forces behind most chemical interactions is the need for atoms to be electrically neutral and to complete their outer electron orbital area (shell).
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an ideal vapor-compression refrigeration cycle operates at steady state with refrigerant 134a as the working fluid. saturated vapor enters the compressor at 2 bar, and saturated liquid exits the condenser at 8 bar. the mass flow rate of refrigerant is 7 kg/min. determine
the refrigeration capability, in tons, is 4.905 tons, the coefficient of performance, in kW, is 4.17 KW, and the compressor power, in kW, is 4.1336 KW.
Describe the compressor formula.Electrical Expense = HP *.746 * hours * Kw cost * motor efficiency. As an illustration, consider a 50 HP compressor that consumes $.06 per Kwh of electricity and has a 90% efficiency electric motor. $5,172.26 is the yearly cost for 50 HP multiplied by.746 over 2,080 hours.
Compressor definition and operationIn order to create energy which can be kept in a tank for later use, air compressors work by applying pressure to atmospheric air. Similar to an open balloon, when the compressed air is purposefully released, pressure builds up, transforming the potential energy into productive kinetic energy.
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a 1 kg blob of putty moving at 10 m/s runs into another 1 kg stationary blob, and they stick together. the momentum of the blobs after the collision is
The momentum of the blobs after the collision of a 1 kg blob of putty moving at 10 m/s with another 1 kg stationary blob will be 5 m/s.
The term "completely inelastic collision" is used to describe every time two masses cling together after colliding. Any inelastic collision will result in the internal energy of the objects being transformed into kinetic energy. Because of this, even though the system's energy is conserved (no outside forces are at action), its internal energy is changing in an unknowable and unpredictable fashion. This implies that the concept of energy conservation in inelastic collisions is absolutely meaningless to us. However, the conserved quantity that we can monitor is momentum.
Initial momentum is expressed as p = m1v1 + m2v2,
where, I denotes vector quantities.
v2 = 0 (because the second blob is at rest).
As a result, p=m1v1, |p|=m1|v1|=1*10= 10 kg*m/s,
The total amount of momentum is conserved in a closed system. The end momentum is 10 kg*m/s and is therefore also directed in the same direction as the beginning momentum.
The combined mass is now M=m1+m2= 1+1 = 2 kg due to the fact that two blobs are now clumped together. As a result, p = mv= 10 =2v; from this, v= 10/2 = 5 m/s, headed in the same direction as the first blob's starting velocity.
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The current theory of the structure of the
Earth, called plate tectonics, tells us that the
continents are in constant motion.
Assume that the North American continent
can be represented by a slab of rock 5500 km
on a side and 34 km deep and that the rock
has an average mass density of 2830 kg/m3
.
The continent is moving at the rate of about
2.4 cm/year
According to the information given, the continent weighs 2.422 * 10²¹ kg.
Volume is the amount of space a thing occupies, whereas mass is the amount of stuff it contains.
What is the rock's mass?
The following formula is used to calculate the rock's mass:
Volume times Density = Mass
The rock has a density of 2830 kg/m³
Area of side * Depth of rock equals the volume of the rock.
The rock's volume is equal to 5.5 * 10⁶ m x 5.5 * 10⁶ m x 2.83 * 10⁴ m
The rock's volume is 8.56 * 10¹⁷ m³
Rock mass: 8.56 * 10¹⁷ m³ * 2830 kg/m³
The rock weighs 2.422 * 10²¹ kg
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The _____ the activation energy, or the _____ the temperature, the larger the fraction of sufficiently energetic collisions, the greater the value of k, and the greater the reaction rate.
Higher temperatures or lower activation energies result in more sufficiently energetic collisions, which increases the fraction of such collisions, increases the value of k, and increases reaction rates.
What are the four components of the collision theory?The consequences are explained by the collision theory. These variables include temperature, catalysts, surface area, concentration, and reactant type. Each of these influences raises the number and energy of collisions, which increases reaction rate.
What among the three crash theories holds true here?The hypothesis states that responding particles usually collide without reacting. For interactions to take place, reacting particles need to collide with enough energy, in the appropriate direction, and with enough mass.
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which set of changes will always increase the current in an electrical circuit?
Answer:
increasing voltage and decreasing resistance
What do you understand by the term "Eigen function and Eigen value" in quantum mechanics. Give an example each.
In quantum mechanics, an eigenfunction is a function that satisfies a particular differential equation and is used to describe the behavior of a physical system. An eigenvalue is a scalar value that corresponds to an eigenfunction and represents the magnitude of a physical property of the system.
An example of an eigenfunction in quantum mechanics is the wavefunction, which is used to describe the probability distribution of a particle in a particular state. The wavefunction is an eigenfunction of the Schrödinger equation, which is a fundamental equation in quantum mechanics that describes the time evolution of a physical system.
An example of an eigenvalue in quantum mechanics is the energy of an atom in a particular state. The energy of an atom is an eigenvalue of the Hamiltonian operator, which is a mathematical operator that describes the energy of a physical system.
In general, eigenfunctions and eigenvalues play a central role in the analysis of quantum mechanical systems and are important tools for understanding the behavior of particles at the atomic and subatomic scales.
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Which of the following scenarios involves at least one chemical change happening? (2 points)
Group of answer choices
Before you go swimming, you need to fill up the pool because evaporation has decreased the volume.
During the summer time, you are hired to sand your neighbor's fence and paint it white.
In the fall, one of your chores is to cut up wood and stack it in the basement for your parents.
Your summer job for the year is to pick strawberries. At the end of the day you have to crush the ones turning rotten to make strawberry jam.
The scenario that involves at least one chemical change happening is your summer job for the year is to pick strawberries. At the end of the day, you have to crush the ones turning rotten to make strawberry jam. The correct option is D.
What is a chemical change?When bonds between molecules or atoms are created, disrupted, or both, chemical changes result. This implies that a substance with a particular set of properties—such as melting point, color, flavor, etc.—becomes a substance with a different set of characteristics.
Three essential chemical components are used in the production of jam: Acids, sugar, and pectin.
Therefore, the correct option is D, Your summer job for the year is to pick strawberries. At the end of the day, you have to crush the ones turning rotten to make strawberry jam.
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which of the following is a well-known framework for quantifying severity or the criticality of vulnerabilities?
The following traits are frequently present in vulnerabilities with high scores. It was challenging to take advantage of the weakness. If exploited, privileges might be increased. Exploitation might cause a large loss of data or period of unavailability.
What framework for quantifying severity?The criticality and vulnerability assessment tool from ABB is a structured, quick assessment method used to rank plant areas, systems, or pieces of equipment. There is never a lack of issues to tackle, but there are always restrictions on the amount of time, money, or staff available.
Therefore, A Critical Vulnerability is one that can be actively exploited or for which a publicly accessible attack or proof-of-concept code exists.Both techniques for displaying the rankings and severity of security flaws are supported by Code Insight.
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part 1 of 2
A shell is fired from the ground with an initial speed of 1.70 \times 10³ m / s (approximately five times the speed of sound) at an initial angle of 52.0° to the horizontal.
The acceleration of gravity is 9.81 m /s²
a) Neglecting air resistance, find the shell's horizontal range.
Answer in units of m
answer in units of m
part 2 of 2
b) How long is the shell in motion?
Answer in units of s
Answer in units of s
(a) The shell's horizontal range is determined as 286,138.2 m.
(B) The time of motion of the shell is 273.4 s
What is the horizontal range of the shell?
The horizontal range of the shell is the horizontal distance travelled by the shell and it is calculated by applying the following formula as shown below.
R = u² sin (2θ) / g
where;
u is the velocity of the shellθ is the angle of projection of the shellg is acceleration due to gravityR = ( (1.7 x 10³)² x sin ( 2 x 52 ) ) / ( 9.8 )
R = 286,138.2 m
The time of motion of the shell is calculated as follows;
T = 2u sinθ / g
T = ( 2 x 1.7 x 10³ x sin 52 ) / ( 9.8 )
T = 273.4 s
Thus, the time of motion of the shell is the time spent in air by the shell.
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sinusoidal water waves are generated in a large ripple tank. the waves travel at 20cm/s and their adjacent crests are 5cm apart. the time required for each new whole cycle to be generated is?
a) 100 s b) 4.0 s c) 2.0 s d) 0.5 s e) 0.25 s
The time required for each new whole cycle to be generated is 0.25 s. So answer e is correct.
Sinusoidal water waves are a type of wave that is generated in a large ripple tank. These waves travel at a rate of 20cm/s and their adjacent crests are 5 cm apart. The time required for each new whole cycle to be generated is dependent upon the velocity of the wave and the distance between the adjacent crests.
To calculate the time required for a new whole cycle to be generated, we must first determine the wavelength of the wave. The wavelength is equal to the distance between the adjacent crests, which is 5 cm. Now that we know the wavelength, we can use the formula
v=λ/t
where v is the velocity of the wave (20 cm/s), λ is the wavelength (5 cm), and t is the time required for one cycle to be generated.
By substituting the given values into the equation, we can calculate the time required for one cycle to be generated.
t=λ/v,
so t=5 cm/20 cm/s,
or t=0.25 s.
Therefore, the time required for each new whole cycle to be generated is 0.25 s.
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16. The diagram shows a design for an electrically operated model railway signed. a) Explain, step by step, how it works. b) Explain how, by adding a scale and a spring, you could use it as an ammeter.
Answer:
Below
Explanation:
When the switch is closed the circuit is complete....the coil in the circuit will act as a solenoid magnet and draw the iron in thus raising the sign.