The time period for one oscillation is 1.9 seconds. The period of a pendulum is the amount of time it takes to complete one complete back and forth swing.
What is the period of the pendulum?
T, the pendulum period formula, is written as follows:
T = (L / g)1/2, where g is the acceleration caused by gravity and L is the length of the string holding the bob (or the mass).
The period of a pendulum is the amount of time it takes to complete one complete back and forth swing.
The length of the string and the acceleration of gravity are two factors that influence the period of a pendulum.
The period variation of a pendulum is inversely proportional to the square root of gravitational acceleration.
It has 31 oscillations.
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Assume a fabrication process improves the yield from 0.92 to 0.95. find the defects per area unit for each version of the technology given a die area of 200 mm.
The fabrication process improves the yield from 0.92 to 0.95. The defects per area unit for 0.92 and 0.95 technology are 0.042 per cm² and 0.026 per cm² respectively
The yield is increased by a manufacturing procedure from 0.92 to 0.95 the defects will be;
Given Data
Suppose the area of the die is 2 cm²
The defects per unit area with a yield of 0.92 and 0.95 must be determined
Solution
Equation for yield
Yield = 1/(1+(defects × die area/2)²
The yield equation has been rearranged
Defects = 2×(1√(yield)-1)/die area
First, we find for the technology of 0.92
Defects = 2×(1√(yield)-1)/die area
Putting the value of yield and die are 0.92 and 2 cm² respectively
Defects =2× (1√(0.92-1)/2
Defects = 0.042 per cm²
Now, find for the technology of 0.95
Putting the value of yield and die which are 0.95 and 2 cm² respectively
Defects=2× (1√(0.95-1)/2
Defects=0.026 per cm²
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The compound beam is fixed at A, pin connected at B, and supported by a roller at C. Draw the shear and moment diagrams for the beam.
The composite beam is supported by a roller at A, pin attached at B, and fastened at C. (See pic). The sheer and moment diagrams' figures are included.
At the intersection of "A" and "B," the shear force remains constant. in the Shear diagram, the first incline plane.
Linear shifts in shearing force are present between "B" and "C." The bending moment diagram thus reveals the parabolic shape.
The moment is 0 at point "B."
By calculating the shear force and bending moment at a specific place on a structural element, such as a beam, shear and bending moment diagrams are analytical approaches that are used in conjunction with structural analysis to help structural design.
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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A duck is 12 m from the edge of a pond. A student stands in the middle of the pond
and creates ripples that travel past the duck and towards the edge of the pond. The
ripples are produced uniformly at 2 ripples per second. The student determines that
the ripples take 3.0 seconds after they pass the duck to reach the edge of the pond.
Determine the wavelength of the ripples.
Answer:
The wavelength is 2 meters
Explanation:
The relationship between the frequency, the speed and the wavelength is given by the relation;
v = f × λ
The given parameters are;
The distance of the duck from the edge of the pond = 12 m
The number of ripples produced per second = Frequency, f = 2 Hz
The time it takes the ripple to reach the edge of the pond after travelling past the duck = 3 seconds
Therefore, speed of the wave, v = Distance/time = 12 m/(3 s) = 4 m/s
The wavelength, λ, is therefore;
λ = v/f = (4 m/s)/(2 Hz) = 2 meters.
Physical Science
Draw the net force arrow on the picture to the left.
Calculate the net force and state the direction.
Net force = _
Net force direction = _
Answer:
Net force is 0 (zero)
Net force direction is 0 (zero)
Explanation:
A worker applies a horizontal force to the top edge of a crate to get it to tip forward. If the crate has a mass of 60 kg and is 1.6 m tall and 0.80 m in depth and width, what is the minimum force needed to make the crate start tipping?
The minimum force needed to make the crate start tipping is 294 N.
To find the minimum force required, we need to determine the point at which the torque created by the applied force overcomes the torque created by the crate's weight.
At the tipping point, the applied force acts at a distance equal to the height of the crate (1.6 m), and the weight of the crate acts at a distance of half the crate's depth (0.4 m).
The formula for torque is: torque = force × distance
At the tipping point, the torques balance each other, so:
applied_force × height = weight × (depth/2)
Let's calculate the crate's weight: weight = mass × gravitational_acceleration
weight = 60 kg × 9.8 m/s² = 588 N
Now, we can find the applied force:
applied_force × 1.6 m = 588 N × 0.4 m
applied_force = (588 N × 0.4 m) / 1.6 m
applied_force = 294 N
Summary: The minimum force required to make a 60 kg crate with dimensions 1.6 m x 0.8 m x 0.8 m start tipping is 294 N.
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The voltage between two points in a circuit is 4.2 V. If the resistance between
the points is 72, what is the current, according to Ohm's law?
A. 0.058 A
B. 76.2 A
O C. 17.1 A
O D. 302 A
Answer:
I = 0.058 [A]
Explanation:
Ohm's law is defined as voltage equal to the product of current by resistance.
\(V =I*R\)
where:
V = voltage = 4.2 [V]
I = current [amp]
R = resistivity = 72 [ohm]
Now clearing I, we have:
\(I = V/R\\I = 4.2/72\\I = 0.058 [A]\)
Answer:
A. 0.058 A
Explanation:
What is the mass of a truck if it is accelerating at a rate of 5 m/s2 and hits a parked car with a
force of 14.000 newtons ?
Answer:
The answer is 2800 kgExplanation:
The mass of the truck can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{14000}{5} \\ \)
We have the final answer as
2800 kgHope this helps you
anyone know the answer?
Answer:
closed
Explanation:
sorry if I'm wrong
What is induced by a changing electric field? what is induced by a changing electric field? a constant magnetic field a changing magnetic field a gravitational field electrical potential energy
A changing electric field is induced by changing magnetic field.
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. Electric charges in motion create magnetic fields. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. Tesla is the magnetic field intensity unit in the International System (SI) (T). The region around a magnet where the magnetic force manifests itself is known as the magnetic field. Electrical charges can move and create magnetic fields.
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i really need help with this. please! thank you.
What "new theory" says:
all matter and energy in the universe is composed of incredibly tiny vibrating strings.
1-The big bang theory
2-The superstring theory
3-The Theory of everything
4-The unified theory
The superstring theory is the "new theory" says: all matter and energy in the universe is composed of incredibly tiny vibrating strings.
String theory proposes that the fundamental constituents of the universe are “strings” and matter and energy in the universe is composed of “strings” rather than point-like particles. Whereas particles are actually vibrations in loops of string, having its own characteristic frequency.
hence , correct option will be
2-The superstring theory
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find the angle between the vectors. u = (2, 3, 0), v = (3, −2, 1)
Therefore, the angle between vectors `u` and `v` is 90°.
To find the angle between two vectors, we can use the formula:
`cos(θ) = (u . v) / (||u|| ||v||)`
Where u and v are vectors, `.` is the dot product of vectors and || || is the magnitude of a vector.θ is the angle between the two vectors.
In this problem, we need to find the angle between vectors `u` and `v`.
We have the following vector
s:u = (2, 3, 0) and v = (3, −2, 1)
Let's find the dot product of vectors `u` and `v`.u .
v = 2 × 3 + 3 × (−2) + 0 × 1
= 6 − 6 + 0
= 0
Let's now find the magnitudes of vectors `u` and `v`.||u|| = √(2² + 3² + 0²) = √(13) and
||v|| = √(3² + (−2)² + 1²)
= √(14)
Now, we can use the formula to find the angle between vectors `u` and `v`.cos(θ) = (u . v) / (||u|| ||v||)cos(θ)
= 0 / (√(13) × √(14))cos(θ)
= 0θ
= cos⁻¹(0)θ
= 90°
The angle between the vectors u = (2, 3, 0) and v = (3, −2, 1) is 90 degrees.
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in order to determine the mass of a planet by applying newton's laws of motion and gravity, the planet must have:
In order to determine the mass of a planet using Newton's laws of motion and gravity, the planet must have at least one known orbiting object.
If we consider a planet with a moon orbiting around it, the moon is held in orbit by the gravitational force between the planet and the moon. By measuring the orbital parameters of the moon, such as the distance between the planet and the moon and the period of the moon's orbit, we can calculate the gravitational force acting on the moon.
We can then use Newton's law of gravitation to determine the mass of the planet, since the gravitational force depends on both the mass of the planet and the distance between the planet and the moon.
This method can also be applied to other objects in orbit around a planet, such as a spacecraft. By measuring the orbital parameters of the spacecraft, we can calculate the gravitational force acting on it and use this to determine the mass of the planet.
Therefore, in order to determine the mass of a planet using Newton's laws of motion and gravity, at least one known orbiting object whose orbital parameters can be accurately measured is required.
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A copper wire has a cross-sectional area of 0.80 × 10-6 m2. The number density of electrons for copper is 9.5 × 10^28 m-3. A current of 18 A flows through the wire. Calculate the mean drift velocity of the free electrons in the wire. *
Answer: 1.480 mm/s
Explanation:
Given
Cross-sectional area \(A=0.80\times 10^{-6}\ m^2\)
Number density(no of charges per unit volume) \(n=9.5\times 10^{28}\ m^{-3}\)
Current \(I=18\ A\)
We know, drift velocity is given by
\(\Rightarrow v_d=\dfrac{I}{neA}\\\Rightarrow v_d=\dfrac{18}{9.5\times 10^{28}\times 1.6\times 10^{-19}\times 0.8\times 10^{-6}}\\\Rightarrow v_d=\dfrac{18\times 10^{-3}}{12.16}=1.480\ mm/s\)
A horizontal pipe of diameter 0.045 m has a smooth constriction to a section of diameter 0.567 m. the density of oil flowing in the pipe is 821 kg/m* if the pressure in the pipe is 8940 n/m and in the constricted section is 6705 n/m?, what is the rate at which oil is flowing?
If the pressure in the pipe is 8940 n/m and in the constricted section is 6705 n/m ,the rate at which oil is flowing is approximately 0.029 m^3/s.
We can use the principle of continuity of flow to relate the flow rate of the oil in the pipe to the difference in pressure and the area of the pipe at the constriction:
Q = Av
where Q is the flow rate, A is the area of the pipe at the constriction, and v is the velocity of the oil at the constriction.
We can use Bernoulli's equation to relate the pressure difference to the velocity of the oil at the constriction:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
where P1 and P2 are the pressures at the two points, and v1 and v2 are the velocities of the oil at those points.
Since the pipe is horizontal, the height difference between the two points can be neglected and we can assume that the gravitational potential energy of the oil is constant. Therefore, we can simplify Bernoulli's equation to:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
Solving for v2, we get:
v2 = sqrt((P1 - P2) / (1/2ρ) + v1^2)
Now we can substitute this expression for v2 into the continuity equation:
Q = Av1 = A sqrt((P1 - P2) / (1/2ρ) + v1^2)
Solving for Q, we get:
Q = A v1 sqrt(2(P1 - P2)/ρ(A^2 - a^2))
where A is the area of the larger section of the pipe and a is the area of the constriction.
Substituting the given values, we get:
Q = (pi/4)(0.567 m)^2 (v1) sqrt(2((8940 N/m^2) - (6705 N/m^2))/(821 kg/m^3)((0.567 m)^2 - (0.045 m)^2))
Q ≈ 0.029 m^3/s
Therefore, the rate at which oil is flowing is approximately 0.029 m^3/s.
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A car on the highway is traveling 15 m/s and it passes another car. In order to pass, the car has to accelerate to 18 m/s. The car reaches this velocity 40 seconds later. What is the average acceleration of the car?
The vehicle acceleration on average at 0.075 m/s2.
How can you figure out how far an accelerating car travels?Using the following formula makes calculating distance from acceleration simple: D = v*t + 1/2*a*t^2. where an is the acceleration, t is the passage of time, and v is the velocity.
To find the acceleration, we can use the kinematic equation shown below:
v = u + at
The car began moving at u = 15 m/s and increased its speed to v = 18 m/s in t = 40 seconds. By entering these values into the formula above, we obtain:
18 m/s = 15 m/s + a(40 s)
Simplifying the equation, we get:
a = (18 m/s - 15 m/s)/40 s
a = 0.075 m/s^2
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Convert 3.8 kg to Lbs
Answer:
8.37757
Explanation:
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Which wind blows 30 latitude in both hemisphere almost to the equator
A base is a substance that forms hydroxide ions in a water solution.
O A. True
O B. False
Explanation:
A. True , a base is a substance that forms hydroxide ions in water
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how strong is the electric field between two parallel plates 5.8mm apart if the potential difference between them is 200V?
The electric field strength between the two parallel plates is approximately 34,483 V/m.
Given DataPotential difference (V) = 200VDistance between plates (d) = 5.8mm = 0.0058mThe expression for the computation of the electric field between two plates is given as
Electric field (E) = Potential difference (V) / Distance between plates (d)
Substituting our given values into the expression we have:
E = 200V / 0.0058m
E ≈ 34,483 V/m
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a bus travels is north along a straight stretch of road with a constant velocity of 15m/s.Another bus travels south on the same road at the same speed.What is the velocity of the second bus.
A bus travels is north along a straight stretch of road with a constant velocity of 15m/s. Another bus travels south on the same road at the same speed. The velocity of the second bus is 15m/s.
Speed is a scalar quantity that defines how fast an object is traveling over a distance.
\(\mathbf{Speed = \dfrac{distance}{time}}\)
The velocity of an object can be defined as the shift rate in the position of an object in a specified direction over time.
\(\mathbf{velocity = \dfrac{displacement}{time}}\)
Since the speed of the bus traveling south is equivalent to the velocity of the bus in the North, we can conclude that the velocity of the second bus is 15 m/s.
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what is the relationship between the center of gravity and the support base for an object that is in stable equalibrium
The relationship between the center of gravity and the support base for an object in stable equilibrium is that the center of gravity must be positioned directly above or within the support base.
In an object at stable equilibrium, the center of gravity plays a crucial role in maintaining balance. The center of gravity is the point where the entire weight of the object can be considered to act. It is determined by the distribution of mass within the object.
For an object to be in stable equilibrium, the center of gravity must be positioned directly above or within the support base. The support base refers to the area or points of contact that provide stability to the object. It can be a surface, a point, or an extended area.
When the center of gravity is within the support base, any slight tilting or displacement of the object will cause a restorative torque, bringing the object back to its original position. This ensures stability and prevents the object from tipping over.
If the center of gravity is positioned outside the support base, the object becomes unstable, and even a small disturbance can cause the object to topple or lose its equilibrium.
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Which can be observed both on Earth and in an accelerating ship in space that is free from the effect of any gravitational field? Check all that apply.
chairs floating in midair
apples falling from trees
people's feet touching the ground
sky divers moving toward the ground
balls bending downward after being thrown
Answer:
apples falling from trees people's feet touching the ground sky divers moving toward the ground balls bending downward after being thrownExplanation:
When a space ship is accelerating in space, there is a force known as Inertia that kicks in. Inertia will mirror the effects of gravity on the ship even if there is no gravitational field effect such that anything that would happen where there is gravity, would continue to happen.
This means that apples will fall from trees, people's feet will touch the ground, sky divers will be pulled downwards and balls will bend downwards when thrown as well. These are the same effects expected on earth where gravity pulls things towards the earth's core.
Answer:
B,C,D,E
apples falling from trees
people’s feet touching the ground
sky divers moving toward the ground
balls bending downward after being thrown
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The formulation of kepler's laws of planetary motion relied on the data and observations of which scientist other than kepler?
The formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe
Kepler's laws of planetary motion are as follows:
The Planets orbit in an elliptical orbit with sun as its focus.A planet whichever position in its orbit it may be present, it covers the same area in space in the same amount of time.The time taken by a planet to complete one rotation is proportional to the size of the orbit.Tycho Brahe used a telescope to propose a model in which the planets orbit around the sun but the sun orbits the Earth in elliptical orbits. This provided a clear idea for Kepler about the position of planets.
Therefore, the formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe
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suppose that the electron in fig. e21.27 is replaced by a proton with the same initial speed v0. would the proton hit one of the plates? if not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates?
To calculate the vertical displacement as the object exits the plates, we once more use the kinematic equations.2.73 106 m is the size of the vertical displacement.
What would be the magnitude and direction of its vertical displacement ?The electron experiences an upward force as it moves between the charged plates and narrowly avoids striking the top plate.It barely misses the tongs as it rises by a minuscule inch.
The electron narrowly escapes impacting the top plate as it travels between the charged plates and feels an upward pull. It travels 0.005 meters in the y direction.
vn = 1.60 x108 The electron is travelling at a speed of 2 m in the direction of x.
Time of flight is calculated as t = d/ v, where d is the distance and v is the speed.
t=2m/ 1.60×10⁸ms⁻¹ =1.25×10⁻⁸s
The y-velocity is initially zero.
Currently, an is displacement and y=vnt + 1/2 at2
So, 0.005m= 1/2 a(1.25×10⁻⁸s)
a=6.40×10¹³ ms⁻²
Additionally, a= F/m = eE/m.
E= (9.1×10⁻³² kg)(6.40×10¹³ ms⁻²)
1.60×10⁻¹⁹ C
=364NC⁻¹
Due to its slower acceleration and higher mass, the proton won't hit any plates.To calculate the vertical displacement as the object exits the plates, we once more use the kinematic equations.
y = 1/2at2 = 1/2 eE/mp (1.25 10 8 s)2 = 2.73 10 6 m
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LaCie kicks a football from the ground level at a velocity of 13.9 m/s and at angle of 25 degrees to the ground. You have determined that the football would travel 15.1 m before landing. How would this value change if the football was kicked at an angle of 35 degrees? Complete all equations without rounding and then round to the nearest tenth at the end
The ball will travel more distance when projected or kicked at an angle of 35 degrees.
What is the range of projectile?
The range of the projectile or the horizontal distance traveled by the ball is calculated by applying the following kinematic equation as shown below.
R = ( u² sin (2θ ) ) / g
where;
u is the initial velocity of the ballg is the acceleration due to gravityThe horizontal distance traveled by the ball when projected at 35 degrees is calculated as;
R = ( 13.9² x sin ( 2 x 35 ) ) / ( 9.8 )
R = 18.53 m
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how to keep nick alive house of ashes
"House of Ashes" is a video game that follows a group of soldiers who are trapped underground and must fight for survival against supernatural creatures.
Nick is one of the characters in the game, and keeping him alive can be challenging. Here are some tips to help you keep Nick alive in "House of Ashes":
Pay attention to Quick Time Events (QTEs): During certain action sequences in the game, you will need to react quickly to avoid danger.
Keep an eye out for QTE prompts on the screen and respond quickly to keep Nick and the other characters alive.
Choose dialogue options carefully: The choices you make during dialogue scenes can impact how the story unfolds.
Choose dialogue options that align with Nick's personality and try to avoid antagonizing other characters.
Use cover to avoid enemy attacks: When you encounter enemies, use cover to avoid their attacks. Stay behind objects like pillars or walls and peek out to take shots at the enemy.
This can help you avoid taking damage and keep Nick alive.
Work with the other characters: "House of Ashes" is a cooperative game, and you will need to work with the other characters to survive. Pay attention to their needs and help them when necessary.
This can help build trust and improve your chances of keeping Nick alive.
Be cautious when exploring: When you are exploring the underground tunnels, be cautious and watch out for traps and other dangers.
Move slowly and carefully to avoid setting off traps or attracting the attention of enemies.
By following these tips, you can improve your chances of keeping Nick alive in "House of Ashes".
However, keep in mind that the game has multiple possible endings, and your choices will impact the outcome of the story.
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What is the relationship between PE and KE in a system?
Answer: The connection between the two is that potential energy transforms into kinetic energy.
Explanation:
How do you find the molar mass of an unknown compound?.
The molar mass of a compound can be found by adding the molar masses of all of the atoms in the compound.
The molar mass of an atom can be found on the periodic table by looking at the atomic mass listed for that element.
For example, to find the molar mass of water (H2O), we would add the molar masses of two hydrogen atoms (2 x 1.01 g/mol) and one oxygen atom (16.00 g/mol) to get a total molar mass of 18.02 g/mol.
Another way is by finding the molecular formula of the compound, it can be done by analyzing the compound's chemical and physical properties and then using the mass spectrometer to determine the molecular weight.
In conclusion, the molar mass of a compound can be found by adding the molar masses of the atoms in the compound using the atomic masses listed on the periodic table, or by determining the molecular formula of the compound and using a mass spectrometer to find the molecular weight.
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