The required repulsion force is 1.11 x 10^-14 kilo-newtons.
What is Coulomb's law?The repulsion force between two electrons can be calculated using Coulomb's law, which states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. The formula for the force is given by:
F = k * (q1 * q2) / r^2
where F is the force in newtons, k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges in coulombs, and r is the distance between them in meters.
Since electrons have a negative charge, the force between them is repulsive. If each student loses 0.01% of their electrons, the force can be calculated as follows:
q1 = q2 = (0.01%) * (1.6 x 10^-19 C) = 1.6 x 10^-21 C
r = 10 m
Substituting these values into the formula gives:
F = k * (q1 * q2) / r^2 = 8.99 x 10^9 N m^2/C^2 * (1.6 x 10^-21 C)^2 / (10 m)^2 = 1.11 x 10^-11 N
Converting the force from newtons to kilo-newtons gives:
F (in kn) = F (in N) / 1000 N/kn = 1.11 x 10^-11 N / 1000 N/kn = 1.11 x 10^-14 kn
So, the repulsion force between the two students, each losing 0.01% of their electrons, is approximately 1.11 x 10^-14 kilo-newtons.
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the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm. (a) calculate the capacitance. (b) what must be the plate area of a parallel-plate capacitor
If the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm then the capacitance is 1.03 × 10^-11 F and the plate area of a parallel-plate capacitor 20 mm square.
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material, which is called a dielectric. The conductive plates are usually made of metal and the dielectric can be made of various materials such as paper, ceramic, plastic, or air.
To calculate the capacitance of a spherical capacitor with radii of 38.0 mm and 40.0 mm, we can use the formula:
C = 4πε₀ / (1/R₁ - 1/R₂)
where C is the capacitance, ε₀ is the permittivity of free space (8.85 × 10^-12 F/m), R₁ is the radius of the inner sphere (in meters), and R₂ is the radius of the outer sphere (in meters).
Converting the radii to meters, we have R₁ = 0.038 m and R₂ = 0.04 m. Plugging in these values, we get:
C = 4πε₀ / (1/0.038 - 1/0.04)
= 1.03 × 10^-11 F
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someone standing at the edge of a cliff throws one ball straight up and another ball straight down at the same initial speed. neglecting air resistance, which ball has the greatest final velocity upon reaching the ground? select all that apply 1. the ball with initial upward velocity 2. they will both hit with the same velocity 3. unable to determine 4. the ball with initial downward velocity
Answer:
2. they will both hit with the same velocity
Explanation:
The ball which is thrown vertically upwards with a initial velocity V[tex]_{i}[/tex]will have the same velocity as the one thrown downwards with a velocity of V[tex]_{i}[/tex] when it reaches back to the edge of the cliff as no air resistance it acting on it. So the two balls have the same downward velocity at the edge of the cliff. Hence, they hit the ground with the same final velocity.
How does sun energy play a role in moving water in the water cycle ?
if mass of the object is doubled, what would happen to the centripetal force?
Even if an object's mass doubles, the centripetal force won't change. The centripetal force is not solely dependent on the object's mass, but also on its velocity and the radius of the circular route.
What does centripetal force mean in layman's terms?A centripetal force is any force that shifts the direction of motion in the direction of the center of a circular motion.
The portion of a force that is perpendicular to a velocity is the portion that generates the centripetal force. A centripetal force is a force that keeps a body moving along a curved route. The centripetal force is a constant force that constantly points in the opposite direction of the body's motion as well as in the general direction of the instantaneous center of curvature of the path.
Why does centripetal force exist?With the exception of the Earth's rotation around the Sun, every satellite that orbits a celestial body experiences a centripetal force that is produced by their mutual gravitational pull.
The particle always travels in a direction that is perpendicular to a radial direction since it moves in a circular motion. The effort generated by the centripetal force when travelling in a circle is therefore always zero because the total of two is always equal to zero.
Formula: centripetal force = [tex]mass \times velocity^2 / radius[/tex]
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How can a model represent the potential energy in a system when the distance between stationary objects changes?
The potential energy in a system is inversely proportional to the distance between stationary objects. So, if the distance between stationary objects changes, potential energy also changes inversely.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.
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consider the current you measured through the bulb. in 1 second, how many electrons flow through the bulb filament?
Therefore, the number of electrons flowing in 1 second when
1A is [tex]6.25 * 10^{18}[/tex]
current flows through a wire is Current I = 1A
Time t = 1s
charge on 1 electron, Q = [tex]1.6 * 10^{-19} C[/tex]
Let the number of electron be n
we know that I = [tex]\frac{Q}{t}[/tex]
Q = n * e
on substituting the values,
1 = [tex]\frac{n * 1.6 * 10^{-19} }{1}[/tex]
n = [tex]\frac{1}{1.6* 10^{-19} }[/tex]
n = 6.25 * [tex]10^{18}[/tex]
A stream of charged particles—such as electrons or ions—moving through a conductor for electricity or into empty space is known as an electric current. The net rate of passage of electric charge through a surface or into a control volume is used to measure it. Charge carriers are the moving particles, which depending on the conductor could be any number of different types of particles. Often, electrons flowing over a wire serve as the charge carriers in electric circuits. They may be holes or electrons in semiconductors. Ions are the charge carriers in an electrolyte, while electrons and ions make up plasma, an ionized gas.
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why is there a bigger difference in resistance when connecting to the center terminals of a potentiometer
Because of the change in the configuration of the wire, there is a bigger difference in resistance when connecting to the center terminals of a potentiometer.
Slider potentiometers, also known as slide-pots, are designed to vary the value of their contact resistance by a linear motion, and as such, the position of the slider contact and the output resistance have a linear connection. When we turn the knob on a potentiometer, the resistance changes linearly or logarithmically. The taper refers to how the resistance varies. Turning a knob a specific amount changes the resistance by a fixed amount regardless of the location of the knob in a linear taper potentiometer. When connected to the central terminal, the change in metal configuration also leads to the resistance difference in addition to the above stated reasons.
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assume the pacific ocean has a surface area of 1.5 x 108 km2 and an average depth of 3700 m. calculate the volume of water in the ocean in liters:
a clay pot at room temperature is placed in a kiln, and the pot's temperature doubles. how much more heat per second is the pot radiating when hot compared to when the pot is at room temperature?
The pot will radiate 16 times more heat per second when hot compared to when it was at room temperature.
The amount of heat per second radiated by a pot depends on its temperature and surface area, as well as the emissivity of its surface. The formula for the heat radiated by a black body (an idealized object that perfectly absorbs and emits radiation) is given by the Stefan-Boltzmann law:
Q = σ * A * T^4
where Q is the heat radiated, σ is the Stefan-Boltzmann constant, A is the surface area of the pot, and T is the temperature in kelvins. Doubling the temperature of the pot increases its heat radiation by a factor of 2⁴ = 16.
So, theoretically, if the pot is a black body, it will radiate 16 times more heat per second when hot compared to when it was at room temperature.
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earth’s mass m is 5.979×1024 kg, and its radius r is 6.376×106 m. what is the angular momentum of the earth?
The angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]
Does angular momentum affect the motion of an object?Yes, angular momentum affects the motion of an object. Angular momentum is a measure of an object's rotational motion and its tendency to continue rotating. It is a vector quantity that is proportional to the angular velocity of an object and the moment of inertia of the object.
What does law of conservation of angular momentum say?According to the law of conservation of angular momentum, the total angular momentum of a closed system remains constant if no external torque acts on it.
The angular momentum of a rotating body can be calculated using the formula: L = Iω
L = (2/5)m([tex]r^{2}[/tex]) * (2π / 86,400)
L = (2/5) * (5.979 × [tex]10^{24}[/tex] kg) * (6.376 × [tex]10^{6}[/tex] [tex]m)^{2}[/tex] * (2π / 86,400 s)
L = 7.16 × [tex]10^{33}[/tex] kg [tex]m^{2}[/tex]/s
Therefore, the angular momentum of the Earth is approximately [tex]7.16*10^{33} Kg[/tex] [tex]m^{2} /s[/tex]
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I need help please pleaseee
The kinetic energy of the simple pendulum at point B is 50 J
What are kinetic energy and potential energy?The kinetic energy of a body is the energy possessed by the body by virtue of its motion.
Kinetic energy is the product of the mass and the velocity of the moving body.
The potential energy of a body is the energy possessed by a body by virtue of its state or position.
Considering the simple pendulum, its energy alternates between kinetic energy and potential energy from point A to C.
At point B, midway through the motion of the pendulum, its energy is a mixture of potential and kinetic energy,
The kinetic energy of the body = 1/2 * 100 J
The kinetic energy of the body = 50 J
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what will happen to the charge on the second ball (i.e., the ball further away from the rod) if it is momentarily grounded while the rod is still there? g
If the second ball is momentarily grounded while the rod is still there, the charge on the second ball will be neutralized.
What is meant by grounding?Grounding is the process of removing excess charge on object by means of transfer of electrons between it and another object of substantial size. When charged object is grounded, then the excess charge is balanced by the transfer of electrons between the charged object and ground.
When the second ball is grounded, it establishes an electrical connection with the Earth, allowing excess electrons to flow from the ball to the Earth, thus neutralizing its charge.
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an airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally. how much work does the passenger do?
An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.
What is work?In physics, work is a measure of the energy transfer that happens when an item is pushed across a length by an external force, at least a portion of which is supplied inside the direction of displacement. Work may be calculated if the forces are constant by multiplied the path's total length by the components of the force operating along the path.
The work done when the force is applied at an angle to the displacement is W = fd cos. Work on a person is conducted not just by moving the body in its entirety from one location to another. An airplane passenger carries a 215 n suitcase up stairs a displacement of 4.20 m vertically and 1.60 m horizontally, then work done is zero.
Therefore, the work done is zero.
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What are some of the different measurements scientists can compare using graphs
Answer:
Popular graph types include line graphs, bar graphs, pie charts, scatter plots and histograms. Graphs are a great way to visualize data and display statistics. For example, a bar graph or chart is used to display numerical data that is independent of one another.
Graphs are a useful tool for scientists to visualize and compare different measurements. Here are some examples of measurements that scientists can compare using graphs: Time-series data, Relationships between variables, Proportions, Distribution of data and Comparing groups.
What is scientist ?Before the establishment of contemporary scientific fields, the responsibilities of "scientists" and their forerunners underwent significant change over time. The social norms, ethical principles, and epistemic virtues that have been associated with scientists—and what has been expected of them—over time have also changed. This is true of scientists of different eras as well as of the natural philosophers, mathematicians, historians, theologians, and engineers who preceded them and contributed to the development of science. Consequently, depending on whatever aspects of contemporary science are seen to be crucial, a wide range of historical personalities might be classified as early scientists.
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Which BEST explains why how biometrics can change an entire sport?
Biometrics can change an entire sport because if one athlete finds a more efficient movement, other athletes will adopt it. Hence, option (D) is correct.
What is biometrics ?The measuring and statistical examination of an individual's distinctive physical and behavioural traits is known as biometrics. The technology is mostly used for access control, identification, and for locating people who are being watched.
The fundamental tenet of biometric authentication is that each individual may be precisely identified based on inherent physical or behavioral characteristics. The Greek words bio, which means life, and metric, which means to measure, are combined to form the phrase "biometrics."
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Your question is incomplete but most probably the options of the question was:
A. Biometrics requires creating a lot of data and other information.
B. Rules and regulations in sports are generally dependent on biometrics.
C. Information about biometrics is regularly published in sports publications.
D. If one athlete finds a more efficient movement, other athletes will adopt it.
f a gun is sighted to hit targets that are at the same height as the gun and 120 m away at the same height, how low, as a positive number in meters, will the bullet hit if aimed directly at a target 170 m away? the muzzle velocity of the bullet is 275 m/s.
The bullet will hit 1.87 meters below the target.
Equation of Motion:Equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.
The first motion equation is v = u + at.
Second equation of motion: s = ut + 12 at2
Third equation of motion: v2 = u2 + 2as
Now for the given question,
Horizontal distance between the bullet and the target is 170 m.
The bullet's horizontal speed (u) is 275 m/s.
Time required to travel the horizontal distance = [tex]Distance/velocity[/tex]
Time taken (t) = [tex]170/275[/tex]
t = 0.618 s
Now, in the vertical direction:
Initial velocity (u) = 0 m/s
Let the depth covered be h.
Time taken (T) = 0.618 s
Acceleration due to gravity (g) = 9.8 m/s^2
Now, using the seconds equation of motion:
[tex]h=ut+1/2 at^2\\h= 0+1/2 (9.8)(0.618)^2\\h=1.87 meters[/tex]
Hence, the bullet will hit 1.87 meters below the target.
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the electric potential at a distance of 4.00 m from a certain point charge is 200.0 v relative to infinity (where the potential is zero). what is the potential (also relative to infinity) at a distance on only 2.00 m from the same point charge?
We can find the new potential when the distance is halved.
As per the data given in the question,
We have,
The electric potential at a distance of 2.00 m from a point charge is 400.0 V relative to infinity (where the potential is zero).
This is because the electric potential varies as the inverse square of the distance from the point charge,
So the value of the potential at half the distance will be four times greater.
V = k * q / r
where V is the potential,
k is Coulomb's constant,
q is the charge of the point, and
r is the distance from the point charge.
By substituting values,
We can find the new potential when the distance is halved.
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the acceleration due to gravity near the surface of the moon is about one-sixth of the value near the earth's surface. if a rock were dropped from equal heights on the moon and earth, the time it would take the rock from the moon to hit the ground would be
The expression for time it would take the rock from the moon to hit the ground, [tex]t_m = \sqrt{6} t_e[/tex].
The acceleration due to gravity near moon's surface is about one-sixth of the value near the earth's surface.
The Newton's second law says,
[tex]s = ut +\dfrac{1}{2}a t ^2[/tex]
This means acceleration is inversely proportional to square of time.
[tex]\dfrac{a_e}{a_m} = \dfrac{t_m^2}{t_e^2}[/tex]
where, [tex]a_e[/tex], [tex]a_m[/tex] is the acceleration at earth and moon respectively.
and, [tex]t_e[/tex], [tex]t_m[/tex] is the time at earth and moon respectively.
[tex]a_m = \dfrac{1}{6} a_e[/tex]
Hence, [tex]t_m = \sqrt{6} t_e[/tex].
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write any two conditoons at which a body of certain mass become weightless
A body of a certain mass could become weightless in the following two conditions:
1. In microgravity
2. In neutral buoyancy
Cheers,
qxxi
a negatively charged rod is brought in contact with an electroscope. as the rod gives up electrons, the numebr of protons in the rod will -
The number of protons in the rod will not change as a result of bringing it in contact with an electroscope.
Protons are positively charged particles and are held tightly within the nucleus of an atom. They cannot be gained or lost through contact with an electroscope or any other external object. When a negatively charged rod is brought into contact with an electroscope, electrons are transferred from the rod to the electroscope, causing the electroscope to become negatively charged. This transfer of electrons changes the charge distribution of the rod and the electroscope, but it does not change the number of protons in the rod.
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A circuit with a battery, a 4 Ω resistor, a 15 Ω resistor, and a 22 Ω resistor in series. The total current is the system is 8.0 A. What is the voltage drop across the 4 Ω resistor?
Explanation:
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * R
The voltage drop across a resistor in a series circuit is equal to the current through the resistor multiplied by the resistance.V = I * RV (4 Ω resistor) = 8.0 A * 4 Ω = 32 V.
a 250 gm ice-cube is thrown in an ice-rink and it travels 40 meters. the same cube is thrown with the same horizontal velocity on a football field and it travels 5 meters. why is that?
The reason why an ice cube travels further in an ice rink than on a football field is the friction force on a football field bigger than the friction force in an ice rink.
According to non-uniform motion v₂² = v₁² + 2ad
v₁ = initial velocityv₂² = v₁² + 2ad
0 = v₁² + 2ad
2ad = - v₁²
a = - v₁² ÷ 2d
Because d₁ > d₂a₁ < a₂According to Newton's second law
F = m a
m = massThe frictional force is always opposite to the direction of the object's motion. The object will slow down or has a negative acceleration.
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the expanding universe theory group of answer choices is supported by the fact that all galaxies exhibit a blue shift.
Option e: The expanding Universe theory contends that galaxies are rapidly moving away from Earth and from one another. The fact that all galaxies exhibit a red shift lends support to this theory.
The question of when the expansion began is raised. This resulted in the development of the big bang theory.
Our galaxy, the Milky Way, is typical in that it has at least ten times as much dark matter as all the stars and gas combined, hundreds of billions of stars, and enough gas and dust to create billions more stars. And gravity holds everything in place.
The Milky Way is spiral-shaped, like more than two-thirds of all known galaxies. There is a lot of energy being produced at the spiral's center, and occasionally there are bright flares as well. Astronomers come to the conclusion that the Milky Way's core is a supermassive black hole based on the enormous gravity that would be necessary to account for the motion of stars and the energy released. Some galaxies have peculiar forms, while others have elliptical shapes.
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The complete question is:
The expanding Universe theory:
a) contends that galaxies are moving away from Earth and from each other at fantastic speed.
b) is supported by the fact that all galaxies exhibit a red shift.
c) raises the question of when the expansion began.
d) resulted in the formulation of the big bang theory.
e) All of the above are true.
as long as an object is not gaining or losing mass, a net force on the object will cause a change in group of answer choices weight. speed. direction. velocity. acceleration.
The combined effect (the sum) of all pushing and pulling forces that are really operating on an object is known as the net force. if there are unequal amounts of forces pulling and pushing on an object.
What happens to the net force if an object's mass rises while its acceleration stays constant?According to Newton's second rule of motion, if an object's acceleration is constant, its force on a particle will be directly proportional to its mass.
The object's net force is what when it is at rest and not accelerating.When an item is at rest, the net force acting on it is equal to zero. the overall force exerted on a thing.
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alvin can jog 9 km in 0.75 hr. and bicycle 12 km in 0.5 hr. how many kilometers does alvin travel during each event?
As a result, Alvin covers a distance of 12 km/hr or 24 km/hr for each event (jogging or bicycling).
What is distance?The quantity or size of displacement between two places is defined as distance. It is important to note that the distance between two points is not the same as the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled. Distance is the length of an object's route, whereas displacement is merely the distance between where the thing began and where it finished up.
Here,
When Alvin jogs, he covers 9 km in 0.75 hours, so his speed is 9 km / 0.75 hours = 12 km/hr.
When Alvin bicycles, he covers 12 km in 0.5 hours, so his speed is 12 km / 0.5 hours = 24 km/hr.
Therefore, during each event (jogging or biking), Alvin travels a distance of 12 km/hr or 24 km/hr, respectively.
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the 10-mg truck hauls the 20-mg trailer. if the unit starts from rest on a level road with a tractive force of 20 kn between the driving wheels of the truck and the road, compute the tension t in the horizontal drawbar and the acceleration a of the rig.
Tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².
What is tension?In physics, tension is the pulling force transmitted axially by the means of a string or a rope.
The tension T in the horizontal drawbar is given by the equation:
T = (m_truck * a + m_trailer * a) / 2, where m_truck and m_trailer are the masses of the truck and trailer, respectively, and a is their acceleration.
F_net = F_tractive - F_friction = m_total * a, where m_total is the total mass of the rig (m_truck + m_trailer).
m_total = 30 kg
a = F_tractive / m_total = 20 kN / 30 kg = 0.00067 m/s²
T = (10 kg * 0.00067 m/s² + 20 kg * 0.00067 m/s²) / 2 = 13.4 kg * m/s² = 13.4 N
So, the tension in the horizontal drawbar is 13.4 N and the acceleration of the rig is 0.00067 m/s².
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a sprinter can accelerate with constant acceleration for 2.20 s before reaching top speed. he can run the 100-meter dash in 10 s. what is his speed as he crosses the finish line?
The sprinter's speed as he crosses the finish line is:14.14 m/s
The time it takes for the sprinter to run the 100-meter dash is 10 seconds, minus the time it takes to reach top speed:
t = 10 s - 2.20 s = 7.80 s
The distance travelled during the time t can be calculated using the equation:
d = v0 * t + 0.5 * a * t^2
Where v0 is the initial velocity (0 m/s), a is the acceleration, and t is the time. Since we don't know the value of a, we'll solve for it using the final velocity and distance:
a = 2 * (d - v0 * t) / t^2
The final velocity can be calculated using the equation:
v = v0 + a * t
Plugging in the values, we get:
v = v0 + a * t = v0 + 2 * (100 m - v0 * 7.80 s) / 7.80 s^2
So the sprinter's speed as he crosses the finish line is:
v = sqrt(200 * 7.80 / 7.80^2) = sqrt(200) = 14.14 m/s
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a roller coaster starts at a point 30 m above the ground with a speed of 25m/s. what will be the speed of the coaster at the top of the next slope, which is 45 m above the ground, to the nearest whole number? ignore friction.
The speed of the roller coaster at the top of the next slope which is at a distance of 45 m above the ground is 19.18 m/s
The roller coaster distance from the ground at starting point = 30 m
The speed of the roller coaster at starting point = 25 m/s
The distance of the roller coaster from the ground in the next slope = 45 m
The speed of the roller coaster at the top of the next slope can be found using the conservation of energy
K₁ + U₁ = K₂ + U₂
1/2mu² + mgh₁ = 1/2mv² + mgh₂
1/2u² + gh₁ = 1/2v² + gh₂
where u is the initial velocity
v is the final velocity
Let's substitute the known values in the above equation, we get
1/2 x 25² + 9.8 x 30 = 1/2v² + 9.8 x 45
312.5 + 294 = 1/2v² + 441
606.5 = 1/2v² + 441
165.5 = 1/2v²
v² = 165.5 x 2
v² = 331
v = √331
v = 18.19 m/s
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What is the skill that allows more developed children and adults to realize that someone viewing a scene from a different angle may see it differently than them?Question 2 options:O Visual shiftingO Spatial relationsO Spatial reasoningO Perspective taking
The ability to put things into perspective is what enables more mature kids and adults to understand that someone looking at a situation from with a different angle can see it different than they do.
What is perspective in person?The ability to comprehend how someone else sees a situation and how that person is reacting to it emotionally and cognitively Gehlbach, 2004 (2) In other terms, it's the ability to put oneself in another person's shoes and comprehend their viewpoint, past experiences, and beliefs.
What does perspective mean in life?According to the Cambridge Dictionary, perspective is "a distinctive perspective or a wise and acceptable method of thinking about a topic or problem." In American English, "perspective" is defined as "a distinct viewpoint."
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How did the discovery of magnetically-aligned particles inside of magma change the way we looked at the Earth and lead to the most important discovery in Geology?
The discovery of magnetically aligned particles inside of magma allowed geologist to discover plate tectonics.
What is the impact of magnetically-aligned particles inside of magma?
The discovery of magnetically aligned particles inside of magma, also known as magnetic minerals, led to the realization that the Earth's magnetic field has reversed itself many times in the past.
This, in turn, led to the development of paleomagnetism, the study of the Earth's ancient magnetic field. This discipline allowed geologists to determine the latitude of rocks at the time they were formed and to reconstruct the movements of tectonic plates, leading to the most important discovery in geology known as plate tectonics.
Plate tectonics revolutionized our understanding of the Earth's structure and how it has evolved over time.
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