Option 3 is Correct. When a neutral metal sphere is brought close to a negatively charged rod, an attractive force develops between the two objects.
Given that two metal spheres are in contact with one another and a negatively charged rod is positioned closer to them as shown: Therefore, unbound electrons from the rod will be drawn to the metal spheres.
Both things pick up the same kind of charge while charging through conduction. When a negative object is used to charge a neutral object, both charged items acquire a negative charge. The negatively charged rod must donate electrons to the neutral sphere in order for it to become negative.
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Correct Question:
A negatively charged rod is brought near a neutral metal sphere. Which of the following is true?
1. There is no electric force between the rod and sphere.
2. There is a repulsive force between the rod and sphere.
3.There is an attractive force between the rod and sphere.
hurricanes are more destructive than tornados due to _______.
Hurricanes are more destructive than tornadoes due to the large area affected and the long attack duration.
A hurricane is a storm that forms over the ocean with winds up to 74 mph. The storm is accompanied by rain, lightning, and thunder and occurs within a few days to a month. Meanwhile, tornadoes only occur in the span of about a few seconds to an hour.
Wind speeds generated by a hurricane are 131 miles per hour or more, less than a tornado which has wind speeds of more than 207 miles per hour. But the Hurricane attack area is quite wide, which is about 300 miles. The center of the storm itself was 20 to 40 miles wide. Whereas a tornado strikes only about 500 feet and will recede at a distance of about 5 miles before finally stopping.
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A 12-kg projectile is launched vertically upward with an initial speed of 35 m/s from a football field in Minneapolis, MN. (a) Calculate the magnitude and direction of the Coriolis force (see Multiple Choice question 8 and Section 5-6) on the projectile shortly after the projectile is launched. (b) What is the approximate direction of the Coriolis force on the projectile while the projectile is heading back toward the Earth? (c) Will the projectile return to the original launch point? If not, in which direction will it land relative to the launch point?
The projectile will not return to the original launch point. Instead, it will land to the right of the launch point due to the Coriolis force acting on it during its descent.
What is projectile?Projectile is an object that is launched or thrown and moves through the air under the action of gravity and/or its own momentum. Examples of projectiles include bullets, missiles, rocks, and arrows. In most cases, the trajectory of a projectile is affected by air resistance. If the air resistance is weak, the projectile will usually follow a parabolic path.
The magnitude of the Coriolis force on the projectile shortly after it is launched is equal to two times the mass (12 kg) times the speed (35 m/s) times the sine of the latitude of Minneapolis (44.98 degrees) times the Coriolis parameter (1.458 x 10^-4 s^-1). This gives a magnitude of 0.0517 N. The direction of the Coriolis force on the projectile will be to the right of the projectile's direction of motion.
(b) As the projectile is heading back toward the Earth, the Coriolis force will be to the left of the projectile's direction of motion.
(c) The projectile will not return to the original launch point. Instead, it will land to the right of the launch point due to the Coriolis force acting on it during its descent.
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The magnitude of the Coriolis force on the projectile shortly after it is launched is 0.035 N.
What do you mean by projectile motion?Projectile motion is the motion of an object that is projected into the air and then is subject to only the force of gravity. The motion of a projectile is described by a parabolic path and can be analyzed using the equations of motion, taking into account the initial velocity, angle, and time of flight. The horizontal and vertical components of the velocity can be found using trigonometry, and the distance traveled, maximum height, and time of flight can be calculated using kinematic equations. In many cases, it is also useful to analyze the motion of a projectile using a vector approach, treating the velocity and acceleration as vectors.
(a) The Coriolis force is a force that acts on objects moving in a rotating reference frame, such as the Earth. It is caused by the rotation of the Earth and is directed perpendicular to the direction of motion of the object and to the axis of rotation of the Earth. The magnitude of the Coriolis force (Fc) is given by the formula:
Fc = 2 * m * v * w
where m is the mass of the object, v is the velocity of the object, and w is the angular velocity of the Earth (7.27 x 10^-5 rad/s).
In this case, the mass of the projectile is 12 kg, the velocity of the projectile is 35 m/s, and the angular velocity of the Earth is 7.27 x 10^-5 rad/s. So the magnitude of the Coriolis force on the projectile shortly after it is launched is:
Fc = 2 * 12 kg * 35 m/s * 7.27 x 10^-5 rad/s = 0.035 N
The direction of the Coriolis force is perpendicular to the direction of motion of the projectile and to the axis of rotation of the Earth. If the projectile is launched vertically upward, the Coriolis force will be directed to the right of the projectile's motion, due to the Earth's rotation direction.
(b) As the projectile is heading back towards the Earth, the direction of the Coriolis force will be opposite of when it was launched, to the left of the projectile's motion.
(c) The projectile will not return to the original launch point due to the influence of the Coriolis force. The influence of the Coriolis force causes the projectile to deviate from its original path, and it will land to the right of the launch point, relative to the launch point direction.
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what would happen to a roller coaster if the weight of the people increased (in terms of kinetic energy, potential energy, friction)
Answer:
I hope my answer is good!
Kinetic energy: The increase in weight of the people would result in an increase in the kinetic energy of the roller coaster. As the roller coaster moves through the track, it gains kinetic energy as it goes downhill, and this energy would be greater if the people were heavier.
Potential energy: The increase in weight of the people would result in an increase in the potential energy of the roller coaster. As the roller coaster climbs uphill, it gains potential energy, and this energy would be greater if the people were heavier.
Friction: The increase in weight of the people would result in an increase in the friction between the roller coaster and the track. More weight would create more wear and tear on the track and would make the roller coaster ride less smooth.
a meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. when a 52.0-gram mass is attached at the 12.5-cm mark, the fulcrum must be moved to the 39.2-cm mark for balance. what is the mass of the meter stick?
The mass of the meter stick is 543.6g
What is mass?
Mass is the measure of an object's resistance to acceleration. It is a fundamental property of matter and is usually expressed in kilograms (kg). Mass is related to weight, which is the measure of an object's gravitational force.
Mass of meter stick = Mass of 52.0 g mass × (Distance moved by fulcrum) / (Distance of 52.0 g mass from fulcrum)
Mass of meter stick = (52.0 g × (39.2 cm - 49.7 cm)) / (12.5 cm - 49.7 cm)
Mass of meter stick = (52.0 g × (-10.5 cm)) / (-37.2 cm)
Mass of meter stick = 543.6 g
hence, The mass of the meter stick is 543.6g
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An object at 20∘C absorbs 25.0 J of heat. What is the change in entropy ΔS of the object? Express your answer numerically in joules per kelvin.
An object at 500 K dissipates 25.0 kJ of heat into the surroundings. What is the change in entropy ΔS of the object? Assume that the temperature of the object does not change appreciably in the process. Express your answer numerically in joules per kelvin.
An object at 400 K absorbs 25.0 kJ of heat from the surroundings. What is the change in entropy ΔS of the object? Assume that the temperature of the object does not change appreciably in the process. Express your answer numerically in joules per kelvin.
Two objects form a closed system. One object, which is at 400 K, absorbs 25.0 kJ of heat from the other object,which is at 500 K. What is the net change in entropy ΔSsys of the system? Assume that the temperatures of the objects do not change appreciably in the process. Express your answer numerically in joules per kelvin.
The change in entropy ΔS of the object when the object is 20∘C absorbs 25.0 J of heat is 85 J/K. The change in entropy ΔS of the object at 500 K dissipates 25.0 kJ of heat into the surroundings is - 50 J/K. The change in entropy ΔS of the object at 400 K absorbs 25.0 kJ of heat from the surroundings is 62.5 J/K. The net change in entropy ΔSsys of the system which is at 400 K, absorbs 25.0 kJ of heat from the other object, which is at 500 K is 12.5 J/K.
Let's make use of the entropy equation: ΔS = Q/T
Given:
(a) T = 20°C = 20 +273 = 293K
Q = 25.0 kJ
Entropy change will be:
ΔS = 25000/293 = 85 J/K.
(b) Given:
T = 500K
Q = -25.0 kJ
Entropy change will be:
ΔS = -25000/500
= - 50 J/K
Given:
T = 400K
Q = 25.0 kJ
Entropy change will be:
ΔS = 25000/400
= 62.5 J/K
Given:
T1 = 400K
T2 = 500K
Q = 25.0 kJ
The net entropy change will be
ΔS = (25000/400) + (-25000/500)
= 12.5 J/K
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When an object is placed farther from a convex mirror than the focal length, the image is:
A)smaller and real
B)larger and virtual
C)larger and real
D)smaller and inverted
E)smaller and virtual
When an object is placed farther from a convex mirror than the focal length, the image is smaller and virtual.
The image produced by a convex mirror is always virtual, and located behind the mirror. When the object is far away from the mirror the image is upright and located at the focal point. As the object approaches the mirror the image also approaches the mirror and grows until its height equals that of the object. A convex mirror always creates a virtual image which is diminished. So, magnification produced by convex mirror is always less than one. So, When an object is placed farther from a convex mirror than the focal length, the image is smaller and virtual.
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Explain why the line on a heating curve is flat at the melting point and boiling point.
How will adding additional nickel–paper towel–penny layers affect the voltage generated by the voltaic pile? Will the change in voltage be constant, or will voltage changes vary as the number of layers increases?
(urgent)
Adding additional nickel-paper towel-penny layers to a voltaic pile will increase the voltage generated by the pile.
What is voltage?The difference in electric potential between two points is known as voltage, also referred to as electric pressure, electric tension, or potential difference. It relates to the amount of work required to move a test charge between two points in a static electric field.
Simply put, voltage also known as electromotive forceis the amount of energy in one charge. Voltage, then, is the variation in electric potential between two points.
The change in voltage will not be constant, but rather will increase as the number of layers increases. This is due to the fact that each additional layer increases the total surface area of the electrodes and the number of electron transfer reactions that can occur, leading to a greater overall voltage generated by the pile.
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How much gravitational potential energy does a 165 kg roller coaster car have when it is at the top of a hill 42 meters above the ground
Answer: a 165 kg roller coaster car has 691,600 J of gravitational potential energy when it is at the top of a hill 42 meters above the ground.
Explanation:
Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. The formula for GPE is GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height above a reference point.
Given that the mass of the roller coaster car is 165 kg and it's at the top of a hill 42 meters above the ground, we can substitute these values into the formula:
GPE = 165 kg * 9.8 m/s^2 * 42 m
GPE = 691,600 J (joules)
So a 165 kg roller coaster car has 691,600 J of gravitational potential energy when it is at the top of a hill 42 meters above the ground.
Consider the following question: A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg. Would the answer to this question be different if the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed
The acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
What is accelaration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both direction and magnitude. It is typically measured in meters per second squared (m/s2). Acceleration can result from an increase in speed, a change in direction, or a combination of both. It is one of the fundamental concepts of physics and is used to describe the motion of objects in various conditions.
Assuming that the car and the passenger are in a perfectly inelastic collision, the force the seatbelt exerts on the passenger to bring him to a halt is calculated using the equation Force = Mass x Acceleration, where acceleration is calculated using the equation Acceleration = Change in Velocity/Time. In this case, the acceleration is (10-0)/0.26 = 38.46 m/s2, so the force exerted by the seatbelt is 70 kg x 38.46 m/s2 = 2711.2 N.
The answer to this question will be different if the car with the 70-kg passenger collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed. This is because the two cars will collide and then move away from each other at the same speed, and the passenger will experience a longer time to come to a halt. The time taken to come to a halt in this case will be twice the time taken for the car to come to a halt, i.e. 0.26 x 2 = 0.52 s. Therefore, the acceleration in this case will be (10-0)/0.52 = 19.23 m/s2 and the force exerted by the seatbelt will be 70 kg x 19.23 m/s2 = 1355.1 N.
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The force the seatbelt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg is -2640 N.
Describe mass?Mass is a scalar quantity that describes the amount of matter in an object. It is typically measured in units of grams (g) or kilograms (kg). The mass of an object does not change with its location or the presence of a gravitational field, unlike weight, which does change.
The force the seatbelt exerts on a passenger in the car to bring him to a halt can be calculated using the formula:
F = m ₓ a
where F is the force, m is the mass of the passenger, and a is the acceleration of the passenger during the collision. The acceleration of the passenger can be calculated using the formula:
a = Δv / t
where Δv is the change in velocity of the passenger and t is the time it takes for the passenger to come to a stop.
Given that the car is moving at 10 m/s and stops in 0.26 s, the change in velocity of the passenger is -10 m/s (because the velocity changes from positive to zero) and the time it takes for the passenger to come to a stop is 0.26 s.
So:
a = [tex]\frac{-10 m/s }{0.26 s}[/tex] = -38.46 m/s²
Substituting the mass of the passenger which is 70 kg and the acceleration, we get:
F = 70 kg ₓ -38.46 m/s² = -2640 N
The force exerted on the passenger would be -2640 N, which is directed towards the opposite direction of the car's motion, this force is the force exerted by the seatbelt on the passenger's chest.
If the car with the 70-kg passenger had collided with a car that has a mass equal to and is traveling in the opposite direction and at the same speed, the force the seatbelt exerts on the passenger would be the same. The force exerted on the passenger is dependent on the mass of the passenger and the acceleration experienced during the collision, not on the mass or velocity of the object the car collided with.
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a 60 hz power line has a sinusoidal voltage with peak value of 480 v. the rms value of the line voltage (in volts) is:
The RMS value of the line voltage will be 340.7 V, if the voltage of 60Hz power line is 480V.
What is RMS value?The RMS value of a sinusoidal voltage is a measure of the effective or heating value of the voltage, and is equal to the value of a DC voltage that would produce the same amount of heat in a resistive load. RMS is calculated by taking the square root of the mean of the square of the instantaneous voltage over one period of the wave.
For a sinusoidal voltage with a peak value of 480V and a frequency of 60Hz, the RMS value can be calculated using the formula:
RMS = (Peak Value) / √2
Plugging in the given values, we get:
RMS = 480V / √2 = 340.7V
So the RMS value of the line voltage is 340.7V. It's important to note that, the RMS value is used to calculate the power in AC circuits, as it gives the effective power for the same heating effect as DC circuits.
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Two cars a and b of masses 1600kg and 1200kg are moving with 5m/s and 3m/s respectively.if they colide and after colliding the velocity of car b is 4m/s.calculate with what velocity car a moves after collision
The velocity of car a is 4.25m/s.
This is the situation of a direct head-on collision. so there is no loss of kinetic energy. Hence these types of situations fall under the elastic collision. Momentum remains conserved in an elastic collision.
According to the Law of conservation of momentum,
m1*u1 + m2*u2=m1*v1+m2*v2
Here u1=5m/s ,u2=3m/s, m1=1600kg, m2=1200kg,v2=4m/s
1600*5+1200*3=1600*v1+1200*4
v1=4.25m/s
The velocity of car a is 4.25m/s.
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calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).
Force 2.47×103 N is required to stop a 950 kg automobile traveling at 90.0 km/h over a distance of 120 m.
What is the easiest way to define a force?An external force is a substance that has the power to alter a body's resting or motion state. It has a direction and a magnitude. The application of force is the location where it occurs, and the force's direction is the direction in which it occurs.
What is a force unit?The newton, represented by the letter N,
is the SI unit of force.
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Predict the properties of substances required to answer each of the following questions. In each case, explain your answer by relating the intermolecular forces of the substances to their properties.
The non-polar properties of the alkanes propane (C3H8) and octane (C8H18) are present.
What is an alkene vs alkane?Alkanes are saturated hydrocarbons because they only have one bond between the carbons. So least double or bond exist between the carbon atoms of such an alkene. One or maybe more triple bonds exist between the carbon atoms in alkynes. Unsaturated hydrocarbons are the name given to alkenes and alkynes.
Van der Waals forces are the kind of intermolecular forces found in propane and octane.
The surface area of the molecules likewise grows as molecular weight (the length of the carbon chain) increases. As a result, both the boiling point and the strength of the Van der Waals force grow.
Therefore, when separating a mix of gas and octane from an oil refinery, propane will condense first at
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an airplane pilot is moving with a velocity \displaystyle v and drops a package. in the absence of air resistance where is the package relative to the airplane at the moment it hits the ground?
When it was dropped the cargo was traveling at the same speed as the aircraft according to Newton's First Law force is acting on it a moving item will tend to continue and velocity moving in a straight path its speed
When a box is dropped from an airplane where will velocity its land?As seen in the animation up above the package follows a parabolic path and always stays below the plane as the package falls, it encounters a vertical acceleration that alters its vertical velocity.
Where on the plane will the velocity aid cargo land?The object will immediately touch down underneath the aircraft The falling object is constantly moving horizontally therefore the package will always be right underneath the plane even though the package is falling owing to gravity its horizontal motions is unaffected.
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: A mass m is oscillating with amplitude A at the end of a vertical spring of spring constant k. Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer. MultipleChoice : 1) The period increases by a factor of four. 2) The period doubles. 3) The period is halved. 4) The period decreases by a factor of four. Part (b) The mass is increased by a factor of four, keeping A and k constant. What is true about the total mechanical energy? Choose the best answer. Multiple Choice : 1) The energy increases by a factor of four. 2) The energy doubles. 3) The energy remains unchanged. 4) The energy is halved. 5) The energy decreases by a factor of four. Part (c) The mass is increased by a factor of four, keeping A and k constant. What is true about the maximum speed? Choose the best answer. MultipleChoice: 1) The maximum speed increases by a factor of four. 2) The maximum speed doubles. 3) The maximum speed is halved. 4) The maximum speed decreases by a factor of four. 5) The maximum speed remains unchanged. Part (d) The amplitude is doubled, keeping mass and k constant. What is true about the period? Choose the best answer. Multiple Choice : 1) The period increases by a factor of four. 2) The period doubles. 3) The period remains unchanged. 4) The period is halved. 5) The period decreases by a factor of four. Part (e) The amplitude is doubled, keeping mass and k constant. What is true about the total mechanical energy? Choose the best answer. Multiple Choice : 1) The energy doubles. 2) The energy is halved. 3) The energy increases by a factor of four. 4) The energy decreases by a factor of four. 5) The energy remains unchanged. Part (f) The amplitude is doubled, keeping mass and k constant. What is true about the maximum speed? Choose the best answer. MultipleChoice: 1) The maximum speed increases by a factor of four. 2) The maximum speed is halved. 3) The maximum speed doubles. 4) The maximum speed decreases by a factor of four. 5) The maximum speed remains unchanged.
Previous question
Part (a) The period of oscillation is given by the formula: T = 2π × [tex]\sqrt{(m/k)}[/tex]
Since the mass is increased by a factor of four, the period will change as follows: T' = 2π × [tex]\sqrt{(4m/k)}[/tex] = 2π × 2 × [tex]\sqrt{(m/k)}[/tex] = 4π × [tex]\sqrt{(m/k)}[/tex] = 2 × T
The period doubles. So, the answer is 2) The period doubles.
Part (b) The total mechanical energy of the system is given by the formula: E = 1/2 × kA² + 1/2 × mv²
What is total mechanical energy?Since amplitude A and spring constant k are constant, the only change in energy is due to the change in mass. If the mass is increased by a factor of four, the total mechanical energy will change as follows:
E' = 1/2 × kA² + 1/2 × 4mv² = kA² + 2mv² = 2(1/2 × kA² + 1/2 × mv²) = 2E
The energy doubles. So, the answer is 2) The energy doubles.
Part (b) The mass is increased by a factor of four, keeping A and k constant. The total mechanical energy will increase by a factor of four. So, the answer is 1) The energy increases by a factor of four.
Part (c) The mass is increased by a factor of four, keeping A and k constant. The maximum speed will decrease by a factor of four. So, the answer is 4) The maximum speed decreases by a factor of four.
Part (d) The amplitude is doubled, keeping mass and k constant. The period will remain unchanged. So, the answer is 3) The period remains unchanged.
Part (e) The amplitude is doubled, keeping mass and k constant. The total mechanical energy will increase by a factor of four. So, the answer is 3) The energy increases by a factor of four.
Part (f) The amplitude is doubled, keeping mass and k constant. The maximum speed will double. So, the answer is 3) The maximum speed doubles.
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The fundamental frequency of a pipe that is open at both ends is 584 Hz .
How long is this pipe?
If one end is now closed, find the wavelength of the newfundamental.
If one end is now closed, find the frequency of the newfundamental.
A pipe that is open on both ends has a fundamental frequency of 584 Hz. There are 252451 meters in the Pipe.
What is the purpose of frequency?The frequency of oscillatory and granular phenomenon, such as mechanical energy, speech recordings (sound), radiofrequency, and light, is a major variable in engineering and sciences.
What is the sound frequency?The proportion of times every second that even a sound level wave repeats itself is known as frequency, often known as pitch. A bullfrog cry is significantly lower in speed than a whistle, while a cricket was so much lower in frequency than a drumbeat.
λ=c/ν
where λ = frequency,
λ= c/ν
= 2l
l = 252451m
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how does energy makes its way from the nuclear core of the sun to its atmosphere? choose the correct order for each layer.
That power increases. The sun's core can reach temperatures of 27 million degrees Fahrenheit. The convective zone, which is a sizable region, is where the energy moves outward.
What are wave amplitude and energy transport?
Transport of Energy and Wave Amplitude As was already explained, a wave is a phenomena that moves energy through a medium without moving any physical objects. When someone grips the first coil of a slinky and moves it back and forth, a pulse or wave is created.
What is the process of energy transfer in nature?
In nature, such just like in a coastal habitat, contains the details and transformations take place continuously. The sun's thermal radiation heats both the ground and the ocean.
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Consider the below reaction between the acetylide ion and methanol. It is an acetylide Lewis base. H Н. H-CEC: H H Draw the conjugate acid that is formed as a product in this reaction.
Acetylide anion, also known as an alkyne anion or an alkynyl anion, is the carbanionic conjugate base of a terminal alkyne that is created when the sp C-H bond is deprotonated (pKa 25). a powerful base and a competent nucleophile
A base, is acetylide ion?
Strong bases and strong nucleophiles describe acetylide anions. As a result, in substitution processes, they can replace halides and other leaving groups.
The acetylide ion's formation mechanism
Consequently, by deprotonating a terminal alkyne with a powerful enough base, acetylide anions can be produced easily. Sodium amide (NaNH2), a type of the amide anion (NH2), is frequently used to create acetylide anions.
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(i) a nylon string on a tennis racket is under a tension of 275 n. if its diameter is 1.00 mm, by how much is it lengthened from its untensioned length of 30.0 cm?
The nylon string lengthened by 3.89 cm from its untensioned length of 30.0 cm, if the tennis racket is under a tension of 275 N and the diameter of the string is 1.00 mm.
Force on the string, F = 275 N
Diameter of the string = 1 mm
Cross-sectional area of the string, A = (π/4)×1²= 0.785 mm²
Initial length of the string, L = 30.0 cm
Modulus of elasticity of the nylon, E = 2700 N/mm²
Let the change in the length of the string = Δl
By the formula, Δl = (F×L)/(A×E)
Δl = (275×30)/(0.785×2700)
Δl = 3.89 cm
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Identify the following as electromagnetic (E) or mechanical (M) waves.sound waveswater wavesradio wavesultraviolet waveswaves in a wheat field
The electromagnetic waves are radio waves and ultraviolet, whereas the mechanical waves are sound waves, waves in a wheat field, water waves, and electromagnetic waves.
A disturbance is transmitted from its source, or one location, to another by means of a wave.
Depending on the need for a physical medium, waves can be classed as electromagnetic or mechanical waves.
Sound waves, water waves, and other mechanical waves are those that must travel through a material medium in order to be transmitted. These waves are transmitted via the medium by the medium's particle's vibration.
The waves that may be transmitted without the use of a physical medium are known as electromagnetic waves. They comprise all electromagnetic waves, including radio waves, microwaves, and others.
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a spring has a force constant of 504.7 n/m. find the potential energy stored in the spring when the spring is a) stretched 4.32 cm from equilibrium. answer in units of j.
The potential energy stored in the spring is 10.9 J.
What is potential energy?Potential energy is the stored energy of an object due to its position or condition. It can be thought of as the energy that an object has because of its location in a gravitational field. Potential energy is stored energy and has the capacity to do work. It is measured relative to a reference point. As an example, when a ball is held at a certain height, it has potential energy because of its position.
The potential energy stored in a spring is:
PE = 1/2 * k * x^2
where k is the force constant (in N/m), and x is the displacement from equilibrium (in m).
In this case, the force constant is 504.7 N/m and the displacement from equilibrium is 4.32 cm, which is 0.0432 m.
Therefore, the potential energy stored in the spring is 10.9 J.
PE = 1/2 * 504.7 N/m * 0.0432 m^2
PE = 10.9 J
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A spring with a cart at its end vibrates at frequency 5.5 Hz.
Part A: Determine the period of vibration. T = ?
Part B: Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged. f' = ?
Part C: Determine the frequency if the spring constant doubles while the cart's mass remains the same. f' = ?
A. The length of time it takes for an oscillation to complete completely is the period of vibration. It is the frequency's reciprocal. The following formula can be used to determine the period of vibration:
What does it mean when something is reciprocal?The equal exchange of energies and assistance between partners defines reciprocity in partnerships. Different forms of reciprocity exist: Positive reciprocity is uneven, balanced reciprocity is equal give-and-take, and generalized solidarity is giving without anticipating a particular result.
What is a friendship that is reciprocal?It's a prevalent misconception that friendships between two people are reciprocal in nature. When I refer to someone as "my friend," it is assumed that they likewise view me in the same light. One of the general expectations regarding affective relationships is reciprocity.
Calculation
Period = 1/Frequency
Given that the frequency of vibration is 5.0Hz, the period of vibration is:
Period = 1/5.0 s
Period = 0.2 s
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do-dodonpa at fuji-q in japan launches its riders from rest to 50 m/s in 80 meters. if the train has a mass of 4500 kg, what is the average force exerted
The average force exerted on the train is approximately 4,275,000 N.
How is force calculated?The force is calculated by using the formula force = mass x acceleration. In this case, the mass of the train is known (4500 kg) and the acceleration can be calculated by using the final velocity (50 m/s) and distance traveled (80 meters).
To calculate the average force exerted on the train, we need to use the equation:
force = mass x acceleration
The acceleration of the train can be calculated by using the final velocity and distance traveled, which are 50 m/s and 80 meters respectively.
acceleration = (final velocity - initial velocity) / time
time = distance / final velocity
So, we can substitute the values in the equation and calculate the average force exerted on the train.
force = 4500 kg x (50 m/s - 0 m/s) / (80 m / 50 m/s)
It is important to note that the above calculations are based on assumptions that the train had no initial velocity and that there was no other forces acting on the train, and that the given distance is the distance of the ride.
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an object has an initial velocity of 2.0 m/s and moves with a constant acceleration of 3.0 m/s2. what is the velocity of the object after 4 seconds?
an object with an initial velocity of 2.0 m/s and a constant acceleration of 3.0 m/s 2. The velocity of the object after 4 seconds is 14 m/sec.
Velocity after time t
Vf = Vi + at
Vf = 2 +(3×4) =14 m/sec
So velocity after time t= 4 sec
Vf = 14 m/sec
Velocity is a measure of how fast and in which direction a point is moving. A point always moves in a direction that is tangent to its path; for example, a circular path's direction at any instant is perpendicular to a line connecting the point to the circle's centre (a radius). The magnitude of the velocity (or speed) is the rate at which the point moves along its path in time.
If a point moves a certain distance along its path in a given time interval, its average speed is equal to the distance moved divided by the time taken. A train that travels 100 kilometres in two hours, for example, has an average speed of 50 kilometres per hour.
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Matt lifts 200 hectograms of bricks. How many centigrams of bricks does he lift?
1 hecto gram = 100 grams
1 gram = 100 centi grams
combine two.
1 hecto gram = 100 × 100 centi grams
1 hecto gram = 10000 centi grams
200 hecto grams = 200 × 10000 centi grams
200 hecto grams = 2000000 centi grams
Concrete sidewalks are always laid in sections, with gaps between each section. For example, the drawing shows three identical 2.4-m sections, the outer two of which are against immovable walls. The two identical gaps between the sections are provided so that thermal expansion will not create the thermal stress that could lead to cracks. What is the minimum gap width necessary to account for an increase in temperature of 41° C?
Three sections will lengthen the total by 3 mm; hence, the total length of the two gaps should be equal displacement to or larger than 3 mm, making each gap 1.5 mm or greater.
What does physics mean by displacement?
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
In physics, how do you express displacement?
Displacement in physics is denoted by the symbol s. The Greek word for "change in" is "delta," which is shaped like a triangle. Spatial position is indicated by the letter "s." It stands for "so"
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if a service is supplied from a corner-grounded delta system, and the ungrounded conductors are sized at 750 kcmil copper, what is the minimum size required for the grounded conductor?
The ungrounded conductors in a corner grounded system that supplies a service are sized at 750 kcmil copper is the minimum size required for the grounded conductor
What is the minimum size for ungrounded copper service conductor?
It must have a minimum copper conductor size of 8 AWG and a maximum copper conductor size of 3/0 AWG.
What is the minimum size grounding electrode conductor size for a service with 2 AWG conductors?
When buried metal water pipe is used as the grounding electrode the minimum size conductor for the grounding electrode is 2 AWG copper or 1/0 aluminum.
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What do we call a simple machine that is a flat surface set at an upward angle sloping at any point less than a 90 degree angle?
A simple machine that is a flat surface set at an upward angle sloping at any point less than a 90 degree angle is called an inclined plane.
A sloping surface makes up an inclined plane, which is utilized to lift heavy objects. The mechanical advantage of the plane is that less force is needed to drive an item up the slope than is necessary to lift its weight (discounting friction).
As a tool for lifting or lowering a load, an inclined plane, sometimes referred to as a ramp, is a flat supporting surface that is slanted at an angle from the upward direction with one end higher than the other.
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Which gas law states that the pressure and absolute temperature of a gas are directly proportional? A. Boyle’s law
B. Charles’s law
C. Dalton’s law
D. Gay-Lussac’s law
Gay-Lussac’s law states that the pressure and absolute temperature of a gas are directly proportional to each other.
This law states that at constant volume, the pressure of a gas is directly related to the temperature for a given gas.
It is also known as pressure-temperature law. While building an air thermometer, Gay-Lussac accidentally discovered that at fixed volume and mass of a gas, the pressure of that gas is directly proportional to the temperature. It is mathematically written as p ∝ T.
where, p is pressure
T is temperature
So, p/T = constant
When comparing the pressures and temperatures of two different objects, it can be written as, p₁/T₁ = p₂/T₂
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