The magnitude of vector A is determined as 3.52 m.
What is the value of vector A?
The value of vector A is calculated by applying the principle of vector addition.
R² = A² + B²
where;
R is the resultant vectorA is vector AB is vector BThe resultant vector is given as 2 times vector A.
( 2A)² = A² + ( 6.1 )²
4A² = A² + 37.21
3A² = 37.21
A² = 37.21 / 3
A² = 12.4
A = √ ( 12.4 )
A = 3.52 m
Thus, the value of vector is determined from vector addition of A and B.
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when a tennis player hits the tennis ball, he gives impulse to the ball. this means that he exerts large force force on the ball for a very short time. si unit of impulse is newton-seconds. t/f
The given statement regarding impulse is true since he does give impulse to the ball, meaning exerting large force on the ball for a very short time.
Impulse in classical mechanic is the integral of a force F over the time interval t for which it acts. In simpler words, impulse is the effect of force on an object over a (usually very short) period of time. The SI unit of impulse is newton-seconds. The symbol for impulse is "J" or "Imp".
Impulse is also known as the change in momentum. Change in momentum is defined as mass times change in velocity (Δp = m · Δv). Change in velocity is equal to acceleration times change in time (Δv = a · Δt). The product of mass and acceleration is force, so change in momentum is equal to force times change in time (Δp = F · Δt = J).
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what is the efficiency of a pulley if 5000 joules of energy results in 3000 joules of work? please show your calculations.
The efficiency of the pulley system is 60%. This means that 60% of the input energy was transformed into useful work, while the remaining 40% was lost as heat or in other forms of energy transfer.
The efficiency of a system is a measure of how effectively it transforms energy from one form to another and is an important consideration in many engineering applications.
The efficiency of a pulley system can be calculated by dividing the amount of useful work done by the total energy input. In this case, the useful work done is 3000 joules, and the total energy input is 5000 joules. The efficiency is calculated as follows:
Efficiency = (Work done) / (Total energy)
= 3000 Joules / 5000 Joules
= 0.6
= 60%
Therefore, efficiency of a pulley is 60%
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A resistor is a component that is used in an electric circuit.
(i)
R
V
A
Describe how a student would use the circuit to take the readings necessary to
determine the resistance of resistor R.
A "resistor" is a two-terminal passive electronic current that is employed to limit or control the flow of electric in electrical circuits. Therefore, in the below given way, the value of resistance can be calculated.
What is resistor?A "resistor" is a two-terminal passive electronic current that is employed to limit or control the flow of electric in electrical circuits. It also allows us to provide a variable amount of resistance to an electrical system. Resistors are the most significant and widely utilized components in an electrical circuit.
Electrons cannot pass through insulators, but they may through conductors. Through the following way resistance can be determined.
turn on the circuit
examine both of the ammeter and the voltmeter
To alter the current, modify the variable resistor.
Take new ammeter and voltmeter values and build a voltage-current graph using the equation: voltage current = resistance
Therefore, in the above given way, the value of resistance can be calculated.
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Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.
Using the information provided, I am unable to determine the internal normal force, shear force, and bending moment in the beam at points C and D.
What is force?A force is an effect in physics that may modify the velocity of an item. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force may be characterized as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Here,
We need to do a structural analysis on a beam to estimate the internal normal force, shear force, and bending moment utilizing methods such as equilibrium equations and the force-moment method. We only have information on the location of the load and the type of support at point B in this situation, thus a thorough analysis is impossible. I am unable to calculate the internal normal force, shear force, and bending moment in the beam at positions C and D using the information supplied. To do a thorough structural analysis, further information on the load, support conditions, and beam geometry is necessary.
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Exercise 12) The effective velocity Vms of the oxygen molecule in a tank is 625m/s. Calculate the temperature of that gas? Molecular oxygen M = 32g/mol, R = 8,31] / molk
The temperature of oxygen gas is 501.40 K.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The effective rms velocity of oxygen is = 625 m/s.
Molecular oxygen M = 32g/mol
Now, effective rms velocity = √(3RT/M)
Hence, we can write that the temperature of oxygen gas is
T = v²M/(3R)
= (625² × 32) ÷ (3 × 8.31 × 10³)
= 501.40 K
Hence, the temperature of that gas is 501.40 K.
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Superman throws a boulder of weight 1950N at an adversary on the surface of the earth, where the magnitude of the acceleration due to gravity, g = 9.80m/s2 . What horizontal force must Superman apply to the boulder to give it a horizontal acceleration of 14.6m/s2 ?
The mass of the boulder can be calculated from its weight, which is given as [tex]1950 N[/tex]
How do you define force?Force is a physical quantity that represents an interaction between two objects. It is a vector quantity. Force is expressed in units of Newtons (N).
What does Newton's laws of motion describes?Newton's laws of motion explains how objects move and interact with each other. These laws state that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. The laws also state that the sum of forces acting on an object is equal to its mass times its acceleration.
[tex]m=W/g=1950 N/9.8m/s^{2}=198Kg[/tex]
Substituting the mass and the desired acceleration into the equation, we have:
[tex]F=198Kg*14.6m/s^{2}=2889 N[/tex]
Therefore, Superman must apply a horizontal force of [tex]2889 N[/tex] to the boulder to give it a horizontal acceleration of [tex]14.63m/s^{2}[/tex]
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TRUE OR FALSE can the magnitude of the displacement vector be more than the distance traveled?can the magnitude of the displacement vector be more than the distance traveled?yesno
The stated assertion is untrue since the size of the displacement can be greater than or smaller than the object's journey distance.
Is it possible for the displacement vector's magnitude to exceed the travelled distance?It's crucial to remember that the distance travelled need not match the size of the displacement. The total distance travelled will be more than the amount of the displacement between those two points specifically if an object changes direction during its journey.
What connection exists between distance and displacement size?Displacement is the smallest or linear distance between the initial and final places, whereas distance is the length of the path travelled to get there.
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nozz 12. Figure P14.43 shows a stream of water in steady flow from a kitchen faucet. At the faucet the diameter of the stream is 0.960 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet.
The diameter of the stream below the opening of the faucet is 1.94 cm.
How to find diameter?The diameter of the stream can be found using the formula for the velocity of steady flow in a cylindrical stream:
v = Q / (πr²)
Where Q is the volume flow rate (volume per time), v is the velocity, and r is the radius of the stream.
By rearranging this equation and using the known values of the volume and time, find the radius of the stream 13.0 cm below the opening of the faucet:
r² = Q / (πv) = (125 cm³) / (π x (13.0 cm)² / 4)
r = √(125 / (π x (13.0 cm)² / 4)) = 0.97 cm
2r = 2 x 0.97cm = 1.94 cm
So the diameter of the stream 13.0 cm below the opening of the faucet would be 1.94 cm.
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what is the strength of the electric field at the position indicated by the dot in (figure 1)? express your answer in newtons per coulomb.
The equation E = F/q can be used to determine the strength of the electric field (E) at the location denoted by the dot.
What is the Strength of an Electric Field?The force applied per unit of positive charge is referred to as the electric field's strength, or E. It may be shown from the equation E = F/q. Volts per meter (V/M) or Newton per Coulomb are its SI units.
You should be aware that an electric field is strongest where the lines are close and weakest when the lines are far apart.
The technique above can be used to determine the answer even though the whole question is not given.
The equation E = F/q where gives the magnitude of the electric field (E) at the location denoted by the dot: E = F/q where;
F = Force exerted per unit and
q = The electric charge there is positive.
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600 J of work are done on a system in a process that decreases the system's thermal energy by 300 J .
How much heat energy is transferred?
2. An open container holds ice of mass 0.565 kg at a temperature of -16.6 ∘C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 890 J/minute . The specific heat of ice to is 2100 J/kg⋅K and the heat of fusion for ice is 334×103J/kg.
How much time tmelts passes before the ice starts to melt?
From the time when the heating begins, how much time trise does it take before the temperature begins to rise above 0∘C?
In a process, a system undergoes 600 J of work, which results in a 300 J reduction in thermal energy. Energy cannot generate new matter or destroy existing matter, according to the first law of thermodynamics. Heat is -900J in value.
Thermoenergy: What is it?Thermal energy is the term used to describe the energy present inside a system that determines its temperature. The movement of thermal energy is heat. Thermodynamics is a complete branch of physics that studies how work is done and heat is exchanged between various systems.
What is an illustration of thermal?Thermal energy examples include heaters that warm up a space, solar sun drying wet clothing on a line, ironing shirts, baking cakes, and warming water 1for tea. Thermal energy is released by any material or object that is warm.
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Which of the following is NOT A TRUE STATEMENT about atomic structure?
a, The photon energy for transitions between two energy levels ( e.g. between the ground state and the first excited state) is different for absorption (excitation) and emmission (deexcitation).
b. Atoms do not always remain in their lowest energy state.
c.Transitions between two energy levels can only occur at one specific photon energy.
d. An atom is in an excited state if it has at least one electron at a greater than normal distance from its parent nucleus.
e.An ion is an atom that has either gained or lost electrons.
From the ground state, transitions can take place to energy levels that are either higher or lower.
Which atomic structure claims are accurate?The correct statement regarding the atomic structure among the offered statements is C. Protons and neutrons are present in the nucleus. Reason: In an atom, the number of protons and neutrons in the atom's nucleus are not always equal.
Which of the following statements about atom structure is accurate?The untrue statement is (a) Every atom has a nucleus, which is a neutral center. This is untrue because the nucleus is positively charged because protons, which are positively charged, and neutrons, which are charge-neutral, are present.
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Mechanical advantage is calculated by using the formula
A. Length of Slope (L) / Height of slope (H)
B. Force of Friction/Gravity
C. Normal Force/ Acceleration
D. Height of Slope (H) / Length of Slope (L)
Option A is the correct answer .
What is Length ?
Length is a term used to describe the distance between two points on an object or the dimension of an object along a particular axis. Length is usually measured in units of distance, such as meters, centimeters, inches, or feet .
In physics, length is an important concept used to describe the size of objects, the distance between two points, or the dimensions of a space. In engineering and construction, length is used to design and build structures, such as bridges and buildings, to ensure they are safe and fit for their intended purpose.
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A runner completes one lap around a circular track with at a time of 252 s252 s at a constant speed of 3.5 m/s3.5 m/s. A - What is the radius, in meters, of the track? B - What was the nunner's centripetal acceleration, in meters per squared second, during the run?
A) The circumference of the track is equal to the distance traveled by the runner in one lap, or C=vt, where v is the velocity and t is the time. So the radius of the track is approximately 70.11 m.
B) The centripetal acceleration is the acceleration towards the center of the circle. So the runner's centripetal acceleration during the run was approximately 0.25 m/s^2.
Centripetal acceleration is a type of acceleration that acts in a direction that is towards the center of a circular path. It is defined as the rate of change of the velocity vector of an object moving in a circular path. The magnitude of centripetal acceleration is given by the equation a = v^2/r, where v is the velocity of the object and r is the radius of the circular path.
Centripetal acceleration is responsible for keeping an object moving in a circular path. Without centripetal acceleration, the object would fly off in a straight line clue to its tangential velocity. For example, when a cor takes o tum, the friction between the tires and the road generates a centripetal force that pulls the car towards the center of the turn, creating centripetal acceleration.
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solve for a in the acceleration equation
To calculate acceleration, you use the equation a =Δv/Δt, where Δv is the change in velocity, and Δt is the time it takes for the change to occur.
In physics, acceleration is the change in velocity in a given unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m/s). Acceleration is the product of the velocity (m/s) divided by the time (s). So, the resulting formula is a = v/t.
Acceleration and the most basic velocity in acceleration are how fast a car can increase its speed, while velocity looks at how fast a car travels a certain distance.
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Air drag will cause a Change in acceleration
Answer:Now it gets complicated. There is an initial acceleration, therefore there is an increase in speed. With an increase in speed comes an increase in drag and a decrease in net force. This decrease in net force reduces acceleration.
Explanation:
When drag is equal to weight, there is no net external force on the object, and the acceleration will become equal to zero.
hope this helped :)! --Middle schooler
Suppose reaction times for recognition of common words like red or green are normally distributed with µ = 220 milliseconds and a standard deviation σ = 32. A psychologist presents a sample of n = 16 subjects with words that include names of colors. However, the color names are printed in a different color ink. That is, the word RED might be printed in blue ink, or GREEN might be printed in red ink. For these words, the sample had a mean reaction time of M = 240. Do these data indicate that presenting color names changes reaction time? Run a hypothesis test and calculate the effect size.
Presenting color names does not appear to significantly affect this sample's reaction time, according to the findings of the hypothesis test and the computation of the effect size.
What are the three different types of hypothesis testing?The most popular null hypothesis test for this sort of statistical relationship is the t-test. In this part, three different t-test types are investigated and used to a range of research techniques: the one-sample t-test, the dependent-samples t-test, and the independent-samples t-test.
The standard error of the mean (SE) as:
SE = σ / √n
SE = 32 / √16 = 16
Next, The z-score as:
z = (M - μ) / SE
z = (240 - 220) / 16 = 1.25
To find the effect size, we can use Cohen's d formula:
d = (M - μ) / σ
d = (240 - 220) / 32 = 0.31
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PLEASE HURRY In the Photosynthesis Lab part of the OMS lesson, you changed the amount of light intensity, temperature, and CO2 level. The the amount of Oxygen released the greater the photosynthesis.
Answer:
YEAH MORE OXYGEN BUBBLES THE MORE PHOTOSYNTHESIS OCCURRING
Explanation:
A 0.10kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by x=(10cm)cos[(10rad/s)t+Ï€/2rad]. (a) What is the oscillation frequency? (b) What is the maximum speed acquired by the block? (c) At what value of x does this occur? (d) What is the magnitude of the maximum acceleration of the block? (e) At what value of x does this occur? (f) What force, applied to the block by the spring, results in the given oscillation?
The frequency of oscillation is given by the formula: f = 1 / T, where T is the period of the oscillation. The maximum speed of the block is 100 cm/s. The maximum speed occurs at the points of maximum displacement. The maximum acceleration is 1000 cm/s². The maximum acceleration occurs at the points of maximum velocity.
a) The frequency of oscillation is given by the formula: f = 1 / T, where T is the period of the oscillation. The period is the time it takes for the block to complete one cycle of its motion. The period is related to the angular frequency (w) by the formula: T = 2 x pi / w. In this case, the angular frequency is 10 rad/s, so the period is T = 2 x pi / 10 = 0.6283s. The frequency is then: f = 1 / T = 1 / 0.6283 = 1.5915 Hz.
b) The maximum speed of the block is given by the formula: v max = A w, where A is the amplitude of the oscillation and w is the angular frequency. In this case, the amplitude is 10 cm, so the maximum speed is: v max = 10 x 10 = 100 cm/s.
c) The maximum speed occurs at the points of maximum displacement, which are at x = +/- A, where A is the amplitude. In this case, x = +/- 10 cm, so the maximum speed occurs at x = +/- 10 cm.
d) The maximum acceleration is given by the formula: a max = w x A. In this case, a max = 1000 cm/s².
e) The maximum acceleration occurs at the points of maximum velocity, which are at A where A is the amplitude. In this case, x = +/- 10 / sqrt(2) = +/- 7.07 cm, so the maximum acceleration occurs at x = +/- 7.07 cm.
f) The force required to produce the given oscillation is given by Hooke's law: F = - k x x, where k is the spring constant and x is the displacement of the block from its equilibrium position. Since the displacement of the block is given by x = (10 cm) cos[(10 rad/s)t + pi/2], we cannot determine the force without knowing the value of the spring constant, k.
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starting from rest at home plate, a baseball player runs to first base 90 feet away. he uniformly accelerates over the first 10 feet to his maximum speed vmax, which is then maintained until he crosses first base. if the overall run is completed in 4 seconds, determine his maximum speed and the time duration of the acceleration.
His maximum speed is 25 ft/sec, and the time duration of the acceleration is 0.8 Sec.
Let, maximum speed is V and acceleration is a (See Picture).
Total time given = 4 secs.
Total time = Time required to accelerate(t) + Time at constant maximum speed(T)
Total time = (t+T)
T+t = 4_______________(1)
Given,
Total distance (D) = 90 ft.
We know,
[tex]V^{2} = 2as[/tex]
⇒ [tex]s = \frac{V^{2} }{2a}[/tex]
Given, s = displacement = 10 ft
⇒ [tex]\frac{V^{2} }{2a} = 10[/tex] ___________________(2)
Now We know,
Speed = final distance / Time at constant maximum speed(T)
⇒ [tex]V=\frac{D-s}{T}[/tex]
⇒ [tex]V = \frac{90-10}{4-t}[/tex]______________[By (1)]
⇒ [tex](4-t) V= 80[/tex]_______________(3)
Also, We know,
[tex]V= u+at[/tex]
But, here u (initial velocity) = 0
∵ [tex]V=at[/tex] ____________________(4)
Now, solving (2), (3) and (4) we get,
[tex](4-t)V+\frac{V^{2} }{2a} = 90[/tex]_______[Adding (2) & (3)]
⇒ [tex]4V-\frac{V^{2} }{a} + \frac{V^{2} }{2a} =90[/tex]________[By (4)]
⇒ [tex]4V-\frac{V^{2} }{2a} =90[/tex]
⇒ [tex]4V-10=90[/tex]_______[By (2)]
⇒ [tex]4V= 100[/tex]
⇒ [tex]V = 25[/tex] ft/sec.
putting the value of V in (2)
We get,
[tex]10=\frac{625}{2a}[/tex]
⇒ [tex]a = \frac{625}{20}[/tex]
⇒ [tex]a = 31.25 ft/sec^{2}[/tex]
Now, putting the values of V and a in (4)
We get,
[tex]t=\frac{V}{a}[/tex]
⇒ [tex]t=\frac{25}{31.25}[/tex]
⇒ [tex]t=0.8 sec[/tex]
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match the rock cycle processes with situations in which they would likely occur. instructions weathering weathering drop zone empty. uplift uplift drop zone empty. solidification solidification drop zone empty. melting melting drop zone empty. deformation deformation drop zone empty. erosion erosion drop zone empty. rock at great depth is exposed to high temperatures. a rock within a mountain range undergoes deformation and movement due to tectonics. a loose piece of rock at the surface is moved away from its source area by ice, water, wind, or gravity. strong forces squeeze a rock and cause it to bend and fold. magma at depth or lava at the surface is hardened as it cools. a rock at the surface is exposed to atmospheric processes.
the methods used to transform rock through one shape to another a rock cycle There are one or more processes that crystals, freezing, drying, erosion, and metamorphism go through.
Where in the rock cycle does weathering take place?At or near the surface, weathering (the method by which rock) and erosion (the process of transferring rock material) reduce rocks to ever-tinier fragments. These more minute rock fragments, including such sand, silt, or mud, can indeed be deposited as sediments, which then harden or lithify to form sedimentary rocks.
Can uplift take place during in the rock cycle?Uplift is a force of transportation that affects rocks in the rock cycle. Sometimes, moving rock fragments from weathered rocks is a part of transportation. However, uplift includes the earth's pressure pushing underground rocks upward.
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7
8
9
10
11
12
11 7 points
These two waves have the same amplitude, but different frequencies. If these two waves were sound waves, what would be the difference between
them?
Wave A:
Wave B:
www.
-DO
Wave A will have lower pitch than wave B.
option B is the correct answer.
Which wave will produce a sound of higher pitch?
A wave of higher frequency will produce a sound of higher pitch. The frequency of a wave determines its pitch, with higher frequencies producing higher pitches and lower frequencies producing lower pitches.
In the case of sound waves, the frequency is directly related to the perceived pitch of the sound.
For example, a sound wave with a frequency of 440 Hz is perceived as an "A" note, and a sound wave with a frequency of 880 Hz is perceived as a higher pitched "A" note.
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were the greenhouse effect to disappear, what would happen to earth? view available hint(s)for part a were the greenhouse effect to disappear, what would happen to earth? the thermonuclear reactions that make the sun's energy would come to a stop. earth would be far too cold for human habitation. the movement of tectonic plates would cease. earth would be far too hot for human habitation. sea levels would rise.
Treiber Gases These include ozone, gas, nitrous oxide, and water vapour. Earth would be a frozen wasteland without greenhouse gases.
What is wrong with the greenhouse effect?Since the atmosphere is largely transparent to sunlight, sunshine is also the source of heat on Earth. However, the term "greenhouse effect" is a little misleading because the gravity the Earth as well as its atmosphere function to maintain heat is different from how a greenhouse operates.
What are the three drawbacks of the greenhouse effect? Why?Because of the greenhouse effect, fertile land is destroyed due to soil erosion. Soil erosion brought on by the greenhouse effect lowers crop output. The greenhouse effect causes temperature to rise, which causes global warming. Climate change.
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how do I solve this problem?
The magnitude of vector A is determined as 3.52 m.
What is the value of vector A?
The value of vector A is calculated by applying the principle of vector addition.
R² = A² + B²
where;
R is the resultant vectorA is vector AB is vector BThe resultant vector is given as 2 times vector A.
( 2A)² = A² + ( 6.1 )²
4A² = A² + 37.21
3A² = 37.21
A² = 37.21 / 3
A² = 12.4
A = √ ( 12.4 )
A = 3.52 m
Thus, the value of vector is determined from vector addition of A and B.
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The absolute pressure in water at a depth of 9m is read to be 185 kPa. Determine (a) the local atmospheric pressure, and (b) the absolute pressure at a depth of 5 m in a liquid whose specific gravity if 0.85 at the same location. (density of water is 1000 kg/m3)
the absolute pressure is 138.4 kPa at a depth of 5 meters in a liquid with a specific gravity of 0.85 at the same position. (Water has a 1000 kg/m3 density)
What is pressure, and what is the formula for it?That amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Pressure is a force-area relationship; pressure = force area. Pascal is the SI pressure measurement (pa).
How is pressure determined?The formula for calculating pressure is P = F / A, or force for unit of the surface area. The SI unit in measuring pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Newton per sq.m of force exerted perpendicularly on a surface is equal to one pascal.
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1) In a uniform circular motion, which of the following quantities are constant:
a) speed,
b) instantaneous velocity,
c) tangential velocity,
d) radial acceleration,
e) tangential acceleration
2) Which of the above quantities are zero throughout the motion?
The amount of tangential velocity, or speed, of an item at each point in a uniform circular motion is constant. Every time there is a direction shift, the velocity enters the picture. However, its magnitude never changes.
Constant speed is it uniform?
The body is thought to be moving at a uniform speed if it travels the same distance in the same amount of time. If the body goes in a straight line with changing its direction, the speed is thought to be constant. In all scenarios, there is no acceleration. Recall that homogeneous velocity is a constant velocity as well.
Is uniform acceleration constant?
Summary. Acceleration that remains consistent across time is referred to as uniform acceleration. the relationship between beginning and ultimate velocities, time,
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a light bulb is attached to a battery and lights up. which of the following statements is true about the electric field inside the bulb filament
Due to the potential difference and the current flowing through the filament, an electric field will be created. Because of the electric field that the flowing current created, the field must not be zero. So, option C is correct.
A current travels across the filament when the light bulb is connected to a battery and turned on. The voltage differential between the filament's two ends and the resistance of the filament's material combine to produce the electric field inside the filament. The filament glows because of resistance that the current encounters as it passes through it. Near the center of the filament, where the temperature is highest and the material has the maximum resistance, the highest resistance and hence the largest electric field can be found. As the filament reaches its ends, where resistance is lowest, the electric field inside it becomes weaker and less constant.
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A Light bulb is attached to a battery and lights up. Which of the following statements is true about the electric field inside the bulb filament?
A) The field must be zero because a current is flowing.
B) The field must be zero because any excess charges are on the surface of the filament.
C) The field must be non-zero because the flowing current produces an electric field.
D) The field must be non-zero because no current will flow without an applied field.
using conservation of energy, find the maximum height hmax to which the object will rise. express your answer in terms of v and g . you may or may not use all of these quantities.
According to the law of conservation of the energy, the maximum height (h max) to which object will raise: h max = v²/2g
Energy is not created nor destroyed; rather, it just transforms from one form to another, according to the rule of conservation of energy.
The object's highest vertical position during its journey corresponds to its maximum height. Before it reaches the highest point, the item is flying upward; once it reaches that point, it is falling.
The equation:
h max = v²/2g
Where:
h max = the maximum height (m)
v = the velocity (m/s)
g = the acceleration due to gravity (9.8 m/s²)
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calculate the acceleration a of the proton, given the time taken to get from one plate to the other and the separation of the plates.
The acceleration of an object is given by the second law of motion, by:
a = F/m
where a denotes acceleration, F is the net force acting on the object, and m denotes mass of the object.
If the initial velocity, net force, and mass of the proton, you can use the equation a = F/m to calculate the acceleration of the proton as it moves from one plate to the other.
What affects the acceleration of a proton?Protons are charged particles, and their acceleration may also be affected by electric and magnetic fields. The magnitude and direction of these fields can influence the net force acting on the proton and its acceleration.
What is the difference between cation and anion?A cation is defined as an ion with a positive charge. It is formed when an atom loses one or more electrons whereas an anion is an ion with a negative charge. It is formed when an atom gains one or more electrons.
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a sphere and a cylinder of equal mass and radius are simultaneously released from rest on the same inclined plane. they then roll down the plane without slipping. choose a correct answer: select all that apply
The correct answer is B. The cylinder reaches the bottom first because it picks up more rotational energy.
What is moment of inertia?The mass of a body is what causes inertia. The inertia of a body increases with its bulk. For instance, a lighter stone can be thrown farther than a smaller one. The heavier object resists change more because it has more mass, or more inertia.
According to question:When a sphere and a cylinder of equal mass and radius roll down an inclined plane, the cylinder will pick up more rotational energy due to its larger moment of inertia.
A sphere has a moment of inertia equal to 2/5 of its mass times the square of its radius, while a cylinder has a moment of inertia equal to 1/2 of its mass times the square of its radius.
This means that the cylinder has a larger moment of inertia and will therefore pick up more rotational energy as it rolls down the incline. As a result, it will reach the bottom of the incline before the sphere.
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using the laplace transform of u(t) for cos3wt, determine the solution for y(t) assuming zero initial conditions
The Laplace transform of u(t) for cos3wt, then [tex]y(t) = \frac{1}{6} [e^{(3it)} + e^{(-3it)}]u(t)[/tex]
What is the function of the Laplace transform?Laplace transform is used to solve differential equations. It is commonly used in many different professions. According to our knowledge, the Laplace transform converts a given LDE (linear differential equation) into an algebraic equation that can be solved using the basic algebraic identities.
Let Y(s) represent y's Laplace transform (t).
Since y(t) = u(t) × cos3wt, we can write:
[tex]Y(s) = U(s) \times [\frac {s}{(s^{2} + 9)}][/tex]
Using the magnitude and phase formula discussed in class, we can express y(t) as:
[tex]y(t) = \frac{1}{6} [e^{(3it)} + e^{(-3it)}]u(t)[/tex]
This transform is useful for analyzing linear, time-invariant systems, and is used in many engineering fields to solve differential equations, such as in electrical, mechanical and control engineering.
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