[tex]19.7cm/s and 4.70 cm/s^2[/tex] are the average speed and acceleration of the glider.
(a) As the glider's front end crosses point A, start a timer at t=0. The instantaneous speed at t=0.314s, halfway through the time interval, is [tex]12.4cm/(0.628s)=19.7cm/s[/tex], which equals the glider's average speed for the interval between t=0 and t=0.628s.
(b) The instantaneous speed at the point [tex]t=(2.02+2.45)/2=2.23s[/tex]. is equal to [tex]12.4cm/(0.431s)=28.8cm/s[/tex], which is the average speed of the glider for the time span between [tex]0.628+1.39=2.02s[/tex] and [tex]0.628+1.39+0.431=2.45s[/tex].
Now that we are aware of the velocities at two points, we can calculate the acceleration using the formula [tex][(28.8-19.7)cm/s]/[(2.23-0.314)s]=4.70cm/s2[/tex].
(c) The average velocity over a predetermined period of time is determined using the glider's length rather than the distance between points A and B.
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A transformer has a primary coil with 400 turns of wire and a secondary coil with 1,600 turns. An AC generator connected across the primary coil has a voltage given by the function Δv = (180 V)sin(t).
What rms voltage (in V) is measured across the secondary coil?
b) A hammer of weight 100 N falls freely on a nail from height 1.25 m. Find the impulse and average force of blow if impact last for 10-² S.
Answer:
Explanation:
When the hammer hits the nail it transfers this energy to the nail in order to move it 1cm (0.01m). A transfer of energy is known as "work done" and work done = force x distance. So, force = work done / distance = 25 / 0.01 = 2500N Answer: Average force = 2500 Newtons.
Question 6 of 10
When making a winter coat, you should pick a fabric that has which
characteristic?
A. Heavyweight
OB. Warm
C. Resistant to wear
D. All of the above
Answer: Warm
Explanation:
3.1 Displacement, Velocity, and Acceleration
A turtle's velocity changes from v₁ = 1.0 mm/s at 0 = 0° to v₂ - 1.2 mm/s at 0= 20°. What is the change in the turtle's velocity?
The change in velocity of the turtle from 1 mm/s at angle 0° to motion at a velocity of 1.2 mm/s at an angle 20° is -0.51 mm/s.
What is Velocity?Velocity is defined as the directional motion of an object, as indicated by the rate of change of position as observed from a particular frame of reference and measured by a particular standard of time.
Velocity is the vector quantity as it has both magnitude as well as direction. It is expressed as
Velocity= Displacement/ Time Taken
It's SI unit is meter/second. Other units commonly used are ft./s, miles per hour km/h etc.
Here, initial velocity of turtle = 1 mm/s at 0°
u = u cosθ = 1 mm/s cos 0 = 1 mm/s
final velocity = v cos 20 = 1.2 m/s cos 20 = 0.48 mm/s.
then, change in velocity = 0.48 mm/s - 1 mm/s = - 0.51 mm/s.
Therefore, the change in velocity of the turtle is - 0.51 mm/s.
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A cement block accidentally falls from rest from the ledge of a 84.9-m-high building. When the block is 16.6 m above the ground, a man, 1.90 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way?
The man has at most 3.55 s to get out of the way.
What is kinematic equations?
Kinematics can be defined as a subfield of physics developed in classical mechanics that describes the motion of points, bodies and systems of bodies without considering the forces that cause them to move.
We can solve this problem using kinematic equations.
First, we can find the time it takes for the block to fall from a height of 84.9 m using the formula:
y = 1/2 * g * t^2
where
y is the distance fallen (84.9 m)g is the acceleration due to gravity (9.81 m/s^2) t is the timeRearranging this equation, we get:
t = sqrt(2y/g) = sqrt(2 * 84.9 m / 9.81 m/s^2) = 4.09 s (to two significant figures)
So the block will hit the ground after 4.09 s of falling.
Next, we can find the time it takes for the block to fall from a height of 16.6 m using the same formula:
t = sqrt(2y/g) = sqrt(2 * 16.6 m / 9.81 m/s^2) = 1.41 s (to two significant figures)
So the block will take 1.41 s to fall from a height of 16.6 m to the ground.
The man has to get out of the way before the block falls the remaining distance of (84.9 - 16.6) = 68.3 m. We can find the time it takes for the block to fall this distance using the same formula:
t = sqrt(2y/g) = sqrt(2 * 68.3 m / 9.81 m/s^2) = 3.55 s (to two significant figures)
Therefore, the man has at most 3.55 s to get out of the way.
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Can someone answer this question about Compton effect?
The Compton effect can be explained on the basis of the quantum theory of light and the wave theory of scattered radiation, hence option B is correct.
What is the Compton effect?The compton effect, photoelectric effect, and blackbody radiation are described by the quantum theory of light, while interference and diffraction are explained by the wave nature of light.
It causes X-rays and other powerful electromagnetic radiations to have longer wavelengths after being elastically dispersed by electrons.
Therefore, the compton effect, also known as Compton scattering, is the primary mechanism by which radiant energy is absorbed in the matter.
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The given question is incomplete, so the most probable complete question is,
Can someone answer this question about the Compton effect?
The Compton effect can be explained on the basis of __________
a) Wave nature of light
b) Quantum theory of light
c) Ray optics
d) Wave optics
How do you think scientists discovered that the flowering time of the field mustard had changed?.
Answer:
Explanation:
Because the scientists still had seeds from the pre-drought mustard plants collected in 1997, they were in a perfect position to find out whether the change in flowering time was really due to evolution. They grew pre-drought seeds alongside seeds collected from the exact same sites in 2004, after the drought.
There are many ways that scientists could have discovered that the flowering time of the field mustard had changed. One possible way is through direct observation and monitoring of the plant's growth and development over time. Another possible way is through the analysis of historical records or herbarium specimens.
What is mustard?Mustard is a plant species that belongs to the Brassicaceae family, which also includes other common plants such as broccoli, cabbage, and cauliflower. The mustard plant is characterized by its small yellow flowers, which grow on a tall stem with leaves that are either lobed or unlobed.
Mustard has been cultivated for centuries for its seeds, which are used to produce mustard condiments, as well as for its leaves, which are used in salads and as a cooked vegetable. There are several different varieties of mustard, including white mustard (Sinapis alba), brown mustard (Brassica juncea), and black mustard (Brassica nigra).
Flowering timing refers to the time when a plant produces flowers, which is an important aspect of its life cycle. The timing of flowering can be influenced by several factors, including environmental conditions such as temperature, light, and water availability, as well as genetic factors.
Flowering timing is important for plant reproduction, as it determines when the plant will produce seeds. In many plant species, the timing of flowering is also influenced by environmental cues such as day length, which can trigger the plant to flower at specific times of the year.
Understanding flowering timing in plants is important for agriculture, as it can help farmers optimize crop yields by selecting the right varieties of plants for specific growing conditions and by manipulating environmental factors to promote optimal flowering. It is also an important area of research in plant biology, as scientists seek to understand the genetic and molecular mechanisms that control flowering timing in different plant species.
Here in the question,
There are several ways that scientists could have discovered that the flowering time of the field mustard had changed. One possible way is through direct observation and monitoring of the plant's growth and development over time.
For example, scientists may have regularly visited a field of mustard plants and recorded the timing of flowering for several years. By comparing the data from different years, they could have detected changes in the flowering time of the plants.
Another possible way is through the analysis of historical records or herbarium specimens. Herbarium specimens are dried and pressed plants that are stored in a collection for scientific study. By examining herbarium specimens collected from the same location over time, scientists could determine whether there had been any changes in the timing of flowering.
Additionally, researchers may have used satellite imagery to track changes in vegetation over time. By analyzing changes in the color and density of vegetation in a particular area, they could detect changes in the timing of flowering for different plant species, including field mustard.
Therefore, there are many different methods that scientists could have used to discover changes in the flowering time of field mustard, and it is likely that a combination of these methods was used to confirm the change.
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Starting from position x0 = 0 at time t0 = 0, a bicyclist rides in a straight line a distance
x in time t and later is a distance 8x after a time 4t. What is the bicyclist’s constant
acceleration?
A: x/2t^2
B: 7x/3t
C: 6x/5t^2
D: 2x/3t^2
The acceleration of the bicyclist is a[tex](8x)/(4t) = 2x/3t^2.[/tex]
What is acceleration?Acceleration is a measure of the rate of change of an object's velocity over a period of time. It is a vector quantity, meaning it has both a magnitude (or size) and a direction. Acceleration can be positive, negative, or zero. A positive acceleration is when a body is speeding up, a negative acceleration is when a body is slowing down, and a zero acceleration is when a body's velocity is constant.
The bicyclist's acceleration can be determined by noting the displacement (x) and the time (t) required to cover that displacement.
The equation for acceleration is a = (change in velocity)/(change in time). In this case, the change in velocity is 8x and the change in time is 4t. Therefore, the acceleration of the bicyclist is a =[tex](8x)/(4t) = 2x/3t^2.[/tex]
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Use Newton's Second Law Analysis combined with torque to solve the following problem.
Three masses are attached to a uniform meter stick, as shown in the figure to your right. The mass of the meter stick is 200.0 g and the masses to the left of the fulcrum are m1 = 75.0g and m2=100.0g. Don't forget the meter stick has mass.
a) What is mass m3 that balances the system when it is attached at the right end of the stick. The resulting system is balanced.
b) What is Force the fulcrum exerts on the meter stick at point S?
5.8N. is the correct answer .
What is Torque ?
In physics and engineering, "torque" is a measure of the twisting force that can cause an object to rotate around an axis or pivot point The magnitude of torque depends on both the force being applied and the distance between the axis of rotation and the point of application of the force. The direction of the torque is determined by the right-hand rule, with the thumb pointing in the direction of the applied force and the fingers curling in the direction of rotation. Torque is a key concept in the study of mechanics and is used in a wide range of applications, such as engines, motors, and machines.
τ1=+r1w1sin90=+r1m1g(counterclockwise rotation, positive sense)
τ2=+r2w2sin90°=r2m2g(counterclockwise rotation, positive sense)
τ=+rwsin90°=+rmg(gravitational torque)
τS=rSFSsinθS=0(because S=0cm)τ3=−r3w3sin90°=−r3m3g(clockwise rotation, negative sense)
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Two capacitors are connected in parallel across a 60 Hz supply. One of the capacitors is rated at 50 microfarads and has a current of 2.34 A through it.
Determine the capacitance of the second capacitor if the current through it is 0.40 A.
The capacitance of the second capacitor is 5.1 microfarads.
What is capacitance?Capacitance is the ability of an electrical component, such as a capacitor, to store an electrical charge. The amount of charge that can be stored is related to the capacitance, which is measured in Farads. The larger the capacitance, the more charge a capacitor can store.
The total capacitance of two capacitors connected in parallel is equal to the sum of the individual capacitances. That is, C_total = C1 + C2.
We know the value of one of the capacitors, C1, to be 50 microfarads, and we know the current through it, I1, to be 2.34 A.
Since capacitance and current are inversely proportional, we can use this relationship to solve for the capacitance of the second capacitor, C2.
C2 = C1 * (I2 / I1)
where I2 is the current through the second capacitor, which we know to be 0.40 A.
Plugging in the values, we get:
C2 = 50 * (0.4 / 2.34)
C2 = 5.1 microfarads
Therefore, the capacitance of the second capacitor is 5.1 microfarads.
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Gulliver's travels which has this fantasy of the whole island of laputa, floating in air.
Could magnets be involved?
Answer:
In Gulliver's Travels, the floating island of Laputa is described as being suspended in the air without any visible means of support, and there is no explicit mention of magnets being involved in its levitation. However, it is worth noting that during the 18th century, when Jonathan Swift wrote the novel, there was a growing interest in the properties of magnets and their potential applications in various fields, including navigation, medicine, and even levitation. In fact, some scholars have suggested that Swift may have been inspired by the popular beliefs and speculations about magnets and their possible effects on gravity and motion.
It's not possible to accurately determine how many magnets would be required to make Laputa, the floating island in Gulliver's Travels, suspended in the air because the idea of a floating island is purely fictional and not based on any known physical principles or scientific laws.
Even if we assume that magnets were involved in the levitation of Laputa, it would depend on a wide range of factors, including the size and weight of the island, the strength and orientation of the magnets, the distance between the magnets and the island, and other variables that are not specified in the novel.
Furthermore, magnets by themselves do not have the power to suspend large objects in mid-air. While magnets can be used to create magnetic levitation, or maglev, for small objects like trains or toy cars, the magnetic fields required to lift an entire island would be orders of magnitude larger and more complex than anything currently feasible with our technology.
In short, the idea of Laputa as a floating island is best understood as a literary and imaginative device, rather than a scientifically plausible concept.
That being said, it's important to remember that Gulliver's Travels is a work of fiction and should be enjoyed primarily as a literary creation, rather than a scientific treatise. The idea of a floating island is a fantastical element that serves to underscore Swift's satirical commentary on various aspects of contemporary society and politics. While it is certainly possible to speculate on the mechanics of how such an island might actually levitate, this is not necessarily the most fruitful or rewarding approach to engaging with the novel's themes and meanings.
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2 Q. A point charge + Q sits at the center of the hollow sphere.
Determine the magnitude of the electric field in the region r≤a
The magnitude of the electric field in the region r≤a is zero.
What is Point Charge?
A point charge is a theoretical charge that is assumed to be located at a single point in space, with all of its electric charge concentrated at that point. It is an idealized model that is often used to simplify calculations in electromagnetism. A point charge can be either positive or negative and is characterized by its electric charge, which is a fundamental property of matter. The electric field created by a point charge decreases with distance from the charge, following an inverse square law. The concept of a point charge is often used in electrostatics, where the charge distribution of an object can be approximated as a collection of point charges.
Inside the hollow metal sphere (i.e., for r≤a), the electric field is zero because the excess charge +2Q on the sphere redistributes itself to cancel out the electric field due to the central charge +Q.
This can be shown using Gauss's Law. A spherical Gaussian surface of radius r≤a, centered at the center of the sphere and inside the metal shell, encloses only the point charge +Q. By symmetry, the electric field is radial and has the same magnitude at every point on the Gaussian surface. By Gauss's Law, the total electric flux through the surface is proportional to the charge enclosed by the surface. Since there is no charge inside the surface (because the excess charge on the metal sphere cancels out the charge inside it), the total electric flux through the surface is zero. Therefore, the electric field inside the hollow metal sphere is zero.
Thus, the magnitude of the electric field in the region r≤a is zero.
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ivy has a mixture of salt and sand. she decided to separate the two substances by pouring the mixture into a jar of water. how could ivy speed up the separation of the two substances?
Ivy has a mixture of salt and sand, and she wants to separate the two substances by pouring the mixture into a jar of water so she can speed up the separation of salt and sand by stirring the mixture to increase the surface area of the particles, and then salt will dissolve in water with sand left behind or by using the filtration this can be done.
What is the process to separate solutes from mixtures?There are numerous methods for separating the solutes, such as stirring the mixture to increase the surface area of the particles, allowing the mixture to settle, or using the filter to separate salt and sand from the solution before salt dissolving in water.
Hence, Ivy has a mixture of salt and sand, and she wants to separate the two substances by pouring the mixture into a jar of water so she can speed up the separation of salt and sand by stirring the mixture to increase the surface area of the particles, and then salt will dissolve in water with sand left behind or by using the filtration this can be done.
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A ball strikes the floor for 0.0105 s and experiences a change in momentum of 1.52 kg·m/s. What is the force experienced by the ball?*
A.1.60 N
b. 144.76 N
c.23.82 N
d. 0.016 N
Answer: B is right
Explanation: Change in Momentum / Time Therefore, the force experienced by the ball is: Force = 1.52 kg·m/s / 0.0105 s Force = 144.76 N Answer: B. 144.76 N
(1 of 5)
Drag the phase slider left and right to move the planet into and out of transit mode. The
normalized flux (relative amount of star light reaching an observer on Earth) when the
planet is off to the side (not transiting) is
while the normalized flux when the planet
is transiting is. (Hint: examine the plot at the top of the applet while you move the
phase slider. The number you are looking for is on the left of the plot.)
O 1.000, 0.990
O 0.990,1.000
O 1.00000, 0.99995
O 0.99995,1.00000
Drag the phase slider left and right to move the planet into and out of transit mode. The normalized flux (the relative amount of starlight reaching an observer on Earth) when the planet is off the side (not transiting) is 0.990 while the normalized flux when the planet is transiting is 1.000. Thus, the correct option for this question is B.
What is Normalized flux?Normalized flux may be characterized as a type of key methodology in spectral data mining. It is important for the efficiency and accuracy of the automatic processing of massive astronomical spectral data, information extraction, and sharing.
A transit occurs when a planet passes between a star and its observer. Transits within our solar system can be observed from Earth when Venus or Mercury travel. The frequency of the normalized flux when the planet is transiting is completely different from when the planet is off the side.
Therefore, the correct option for this question is B.
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Answer: 1.000,0.990 (correct)
Explanation:
Order the three phases of bromine by distance between bromine particles, from least to greatest.
The three phases of bromine are: liquid, gas, and solid. To order these phases based on the distance between bromine particles, from least to greatest.
We need to consider how the intermolecular forces change as the temperature and pressure change.
In the solid phase, bromine molecules are packed tightly together, with the minimum distance between particles. This is because the intermolecular forces, including London dispersion forces and dipole-dipole forces, are strong enough to hold the particles in a fixed position.
In the liquid phase, the bromine molecules are further apart than in the solid phase, but still close enough to experience intermolecular forces. The temperature of the liquid is high enough to overcome the attractive forces and cause the particles to move about more freely, but not enough to separate the particles completely.
In the gas phase, the bromine molecules are separated by the greatest distance, with no strong intermolecular forces to hold them in place. The high temperature of the gas causes the particles to move rapidly, colliding with each other but not sticking together.
Therefore, the order of the three phases based on the distance between bromine particles is solid < liquid < gas.
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In what units do we measure force
Answer:
Newtons
Explanation:
A man is standing on the shore of a beach, up to his knees in water. Every 5 seconds a wave breaks on him. What is the period of the wave?.
Answer:
The period of a wave refers to the time it takes for a complete wave cycle to occur, from crest to crest or from trough to trough. In this scenario, you have specified that every 5 seconds a wave breaks on the man, so the period of the wave is 5 seconds.
Explanation:
pls mark brainlist and np
Answer:
Explanation:
= 4 Hz
As an example, a wave with a period T = 0.25 s takes ¼ of a second to complete a full vibration cycle (crest - trough - crest) at a certain location and thus performs four vibrations per second. Hence its frequency is f = 4 Hz.
A 1500 kg car traveling east at 20 m/s collides with a moving 2500 kg truck moving 30 m/s west.. After they collide, the two interlock and move together. What was the final velocity of the truck? (Hint-momentum is a vector and direction matters, use + or - values as appropriate)* A. 11.25 m/s west B. 11.25 m/s east C. 32.6 m/s east D. 32.6 m/s west
Answer:
A
Explanation:
The final velocity of the truck can be calculated using the law of conservation of momentum. The law states that the total momentum of a closed system (the car and truck) remains constant unless an external force acts on the system.
Let's call the final velocity of the system (car + truck) after the collision vf.
The initial momentum of the car before the collision is equal to m1 * v1 = 1500 kg * 20 m/s = 30000 kg m/s, where m1 is the mass of the car and v1 is its initial velocity.
The initial momentum of the truck before the collision is equal to m2 * v2 = 2500 kg * -30 m/s = -75000 kg m/s, where m2 is the mass of the truck and v2 is its initial velocity.
The total initial momentum of the system before the collision is equal to the sum of the initial momenta of the car and truck:
p_initial = m1 * v1 + m2 * v2 = 30000 kg m/s + (-75000 kg m/s) = -45000 kg m/s.
After the collision, the final momentum of the system is equal to the sum of the final momenta of the car and truck:
p_final = m1 * vf + m2 * vf = (1500 kg + 2500 kg) * vf = 4000 kg * vf.
Since the total momentum of the system is conserved, we can set the initial and final momenta equal to each other:
-45000 kg m/s = 4000 kg * vf
Finally, we can solve for the final velocity of the system (truck):
vf = -45000 kg m/s / 4000 kg = -11.25 m/s
Since the truck was moving west before the collision, the final velocity is 11.25 m/s west, so the answer is A. 11.25 m/s west.
need help with this bad boy
The tension force T1 in the horizontal direction is mg sinθ, for the angle of zero, the tension force becomes zero. The tension force T2 is mgcosθ, for an angle of 30.1 the force is 63 N.
What is tension force?Tension force is a kind of force acting on object if it experience a force from a suspended mass on it. It is a vector quantity and having both direction and magnitude.
The horizontal tension force = mg sin θ
and the vertical or diagonal tension = mg cos θ
given mass suspended m = 25.5 kg.
Then, horizontal tension force T1 = 25.5 kg ×9.8 m/s²× sin 0 = 0
(sin 0 = 0)
The tension force T2 = mg cos θ
T2 = 25.5 kg ×9.8 m/s²× cos 30.1 = 63 N.
Therefore, tension force on cable 1 is zero and that on cable 2 is 63 N.
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The tires of a car makes 73 revolutions as the car reduces its speed uniformly from 94.0 km/h to 60.0 km/h. The tires have a diameter of 0.84 m.
Part C: If the car continues to decelerate at this rate, how far does it go? Find the total distance.
Answer:
0.3252km = 325.2m
Explanation:
if this answer is correct only. i can explain the method.
When voltage sources are connected in series, the total voltage is equal to the algebraic sum of the individual voltages.a. trueb. false
The third rule of a series circuit states that the sum of the individual voltages equals the total voltage.
These demonstrate the truth of the previous claim, which reads, "When voltage sources are connected in series, the overall voltage is equal to the algebraic sum of the individual voltages?"
The supply voltage is equal to the total of the component voltages in a series circuit. The voltages across each component in a series circuit are proportional to their resistances. This means that when two similar components are linked in series, the supply voltage is divided equally.
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17. Which of the following supports the idea that the genetic code is common to all living
things?
A. All living things share similar modes of reproduction
B. The same adaptations help all living things survive in the same way.
C. All living things have identical ways of using energy for survival.
D. All living things contain DNA with the same nitrogenous bases.
Answer:
Explanation:
genetic code us a keyword
different organisms have diff ways in reproducting
different ways of adapting to environments, obtianing energy, etc. It's mainly asking what makes all living things have something in common, like ALL all
Four small spheres, each charged to +15 nC, form a square 2.0 cm on each
side. From far away, a proton is shot toward the square along a line perpendicular to the square and passing through its center. What minimum initial speed does the proton need to pass through the square of charges?
The minimum initial speed of the proton needed to pass through the square of charges is 5.09 x 10^6 m/s.
Describe Charge?Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.
The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10^-19 Coulombs.
Electric charge is conserved, which means that the total amount of charge in a closed system remains constant over time. Charges can be positive, negative, or neutral, and like charges repel each other, while opposite charges attract each other.
Charge is an important property in many areas of physics, including electromagnetism, quantum mechanics, and particle physics. It is also a crucial concept in many practical applications, such as electronics, power generation, and communication systems.
We can solve this problem using the principle of conservation of energy. The initial kinetic energy of the proton must be equal to the work done by the electrostatic force of the charged spheres on the proton as it passes through the square.
The electrostatic force between two charges q1 and q2 separated by a distance r is given by Coulomb's law:
[tex]F = k * q1 * q2 / r^2[/tex]
where k is the Coulomb constant, which has a value of
[tex]8.99 x 10^9 N m^2 / C^2.[/tex]
Since the four spheres are identical and equally spaced, the electrostatic force on the proton due to each sphere will have the same magnitude and direction. We can calculate the force on the proton due to one sphere and multiply by 4 to get the total force:
[tex]F = 4 * k * q * q_p / r^2[/tex]
where q is the charge on each sphere (+15 nC), q_p is the charge on the proton (-1.6 x 10^-19 C), and r is the distance from the center of the square to the proton's initial position (which we will assume is the same as the distance from the center of the square to the closest sphere, which is sqrt[tex](2)/2 * 0.02 m = 0.0141 m).[/tex]
The work done by the electrostatic force as the proton passes through the square is:
W = F * d
where d is the length of the square (2 cm = 0.02 m).
Equating the initial kinetic energy of the proton to the work done by the electrostatic force, we get:
[tex](1/2) * m * v_i^2 = 4 * k * q * q_p * d / r^2[/tex]
where m is the mass of the proton (1.67 x 10^-27 kg) and v_i is the initial speed of the proton.
Solving for v_i, we get:
[tex]v_i = sqrt(8 * k * q * q_p * d / (m * r^2))[/tex]
Plugging in the values, we get:
[tex]v_i = sqrt(8 * 8.99 x 10^9 N m^2 / C^2 * 15 x 10^-9 C * 1.6 x 10^-19 C * 0.02 m / (1.67 x 10^-27 kg * (0.0141 m)^2))v_i = 5.09 x 10^6 m/s[/tex]
Therefore, the minimum initial speed of the proton needed to pass through the square of charges is [tex]5.09 x 10^6 m/s.[/tex]
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An object has an acceleration of 25.3 m/s/s. If the mass of the object is Increased by a factor of 2.91, then the new
acceleration would be
m/s/s. Assume that the force exerted on the object remains constant. Round your
answer to 3 significant figures
The new acceleration of the object is therefore a' = a / 2.91 = 25.3 m/s/s / 2.91 = 8.69 m/s/s to 3 significant figures.
How did we get the value?We know that the force exerted on an object is equal to its mass times its acceleration, or F = m * a. If the force exerted on the object remains constant, then the new acceleration of the object after its mass has been increased by a factor of 2.91 can be calculated as follows:
a' = F / (m * 2.91) = F / m'
Where m' is the new mass of the object.
Substituting the original acceleration and mass into the equation, we get:
a' = F / (m * 2.91) = F / (m * 2.91) = (m * a) / (m * 2.91) = a / 2.91
The new acceleration of the object is therefore a' = a / 2.91 = 25.3 m/s/s / 2.91 = 8.69 m/s/s to 3 significant figures.
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If the mass of the cart is 250 kg, solve for PE at A (height 100 m) and D
(height 75 m). Velocity at A is 0, solve for velocity at location D.
To solve for the potential energy at points A and D, we need to use the formula for gravitational potential energy:
[tex]PE = mgh[/tex]
What is potential energy?At point A, the height is h = 100 m and the mass of the cart is m = 250 kg. The acceleration due to gravity is g = 9.81 m/s^2. Therefore, the potential energy at point A is:
[tex]PE_A = mgh = (250 kg)(9.81 m/s^2)(100 m) = 245250 J[/tex]
At point D, the height is h = 75 m and the mass of the cart is still m = 250 kg. The potential energy at point D is:
[tex]PE_D = mgh = (250 kg)(9.81 m/s^2)(75 m) = 183937.5 J[/tex]
To solve for the velocity at point D, we can use the conservation of energy principle. At point A, the cart has only potential energy (no kinetic energy), so the total mechanical energy is equal to the potential energy:
[tex]E_A = PE_A = 245250 J[/tex]
At point D, the cart has both potential energy and kinetic energy. Therefore, the total mechanical energy is the sum of the potential and kinetic energies:
[tex]E_D = PE_D + KE_D[/tex]
where [tex]KE_D[/tex] is the kinetic energy at point D, and it is what we want to find.
According to the conservation of energy principle, the total mechanical energy at point D must be equal to the total mechanical energy at point A (assuming no non-conservative forces such as friction act on the cart between A and D). Therefore:
[tex]E_A = E_D[/tex]
Substituting in the values we have calculated:
[tex]245250 J = 183937.5 J + KE_D[/tex]
Solving for [tex]KE_D[/tex], we get:
[tex]KE_D = 61212.5 J[/tex]
To find the velocity at point D, we can use the formula for kinetic energy:
[tex]KE = (1/2)mv^2[/tex]
where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
Substituting in the values we have calculated, we get:
[tex]KE_D = (1/2)mv_D^2Solving for v_D, we get:v_D = sqrt((2KE_D) / m) = sqrt((2(61212.5 J)) / (250 kg)) = 17.6 m/s[/tex]
Therefore, the velocity at point D is 17.6 m/s.
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1. What is the momentum of an 11 kg bowling ball rolling at 4 m/s?
Any moving object has momentum. The momentum of an 11 kg bowling ball rolling at 4 m/s is 44 kg m/s.
What is momentum?The momentum is defined as a quantity which is the product of the mass of the particles and its velocity. It is a vector quantity. It has both magnitude and direction. The rate of change of momentum is equal to the force acting on the particle.
The equation of the momentum is given as:
p = mν
= 11 kg × 4 m/s
= 44 kg m/s
Thus the momentum of the bowling ball is 44 kg m/s.
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A heart defibrillator being used on a patient has an RC time constant of 23.0
ms due to the resistance of the patient and the capacitance of the defibrillator. If the defibrillator has an 9.75
μF capacitance, what is the resistance of the path through the patient?
If the initial voltage is 12.0
kV, how long does it take to decline to 115
V?
A heart defibrillator being used on a patient has an RC time constant of 23.0 ms. ,If the defibrillator has a 9.75 μF capacitance, then it takes approximately 21.1 ms for the initial voltage of 12.0 kV to decline to 115 v.
What is the calculation of the voltage of the defibrillator ?The calculation is explained below,
RC = resistance x capacitance
resistance = RC / capacitance
resistance = (23.0 ms) / (9.75 μF) = 2,359 ohms
Time for the initial voltage of 12.0 kV to decline to 115 V,
V(t) = V₀ × [tex]{e}^(^-^t^/^R^C^)[/tex] ( here, V(t)=voltage at time t, V₀= initial voltage, e= constant= 2.71828, t= time, R= resistance, C= capacitance)
For t= -RC × ln(V(t) / V₀)
t = - (23.0 ms) × ln(115 V / 12.0 kV) = 21.1 ms
Hence, a heart defibrillator being used on a patient has an RC time constant of 23.0 ms. ,If the defibrillator has a 9.75 μF capacitance, then it takes approximately 21.1 ms for the initial voltage of 12.0 kV to decline to 115 v.
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This equation is known as the ideal gas law, and it can be used to predict the behavior of many gases at relatively low pressure. From this equation, you can see that as the temperature of a gas increases,.
From the ideal gas law equation ([tex]PV = nRT[/tex]), you can see that as the temperature of a gas increases, either the pressure (P) or the volume (V) of the gas must increase in order to maintain a constant number of moles (n) and a constant gas constant (R).
This can be explained by the kinetic theory of gases, which states that the temperature of a gas is proportional to the average kinetic energy of its molecules. As the temperature increases, the molecules move faster and collide with the walls of the container more frequently and with greater force, increasing the pressure. Alternatively, the molecules can also move further apart, increasing the volume of the gas. In other words, as the temperature of a gas increases, the gas will expand and/or its pressure will increase, assuming the volume or the number of moles of gas are held constant. This relationship is important for many practical applications, such as in the design of engines, refrigeration systems, and industrial processes.
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using only the electrical specifications, determine how deep the external underground secondary service conduits are installed.
However, typically, electrical codes require that buried secondary service conduits be installed at a minimum depth of 18 inches (45.7 cm) below the surface. In some cases, local codes may require a deeper depth, such as 24 inches (60.9 cm) or more, depending on factors such as soil type, climate, and intended use of the conduit.
It is also important to note that other factors, such as the type and size of conduit, the type of wiring used, and the intended electrical load, may also affect the required burial depth. Therefore, it is essential to consult with local building codes and a licensed electrician or electrical engineer to determine the appropriate depth for installing external underground secondary service conduits.
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