The electrical grid is affected by energy efficiency. Generators don't need to produce as much electricity when individuals use electricity more effectively. There isn't an overload on the electrical grid.
Blackouts may occur if the electrical grid is overburdened because it may overheat and malfunction.
In geographically focused locations, energy efficiency is a particularly significant resource for reducing grid loads and system peak demands. Reducing peak demands helps the system and can reduce the need to generate or buy expensive electricity.
In geographically focused locations, energy efficiency is a particularly significant resource for reducing grid loads and system peak demands. Reducing peak demands helps the system and can reduce the need to generate or buy expensive electricity.
Distribution networks transport electricity from the transmission system to homes and businesses at lower voltages. National Grid, which manages the transmission system, is in charge of balancing it and ensuring that the supply and demand of power are met second by second.
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Two cars each have a mass of 1050 kg. if the gravitational force between
them is 2.27 x 10-7n, how far apart are they? g = 6.67 x 10-11 n. (m/kg)2
The distance between the two cars each have the distance of 1050 kg is 17.99 x 10⁴ m
The mass of two cars = 1050 kg
The gravitational force between the two cars = 2.27 x 10⁻⁷ N
The distance between the two cars can be found using the formula,
F = g m₁m₂/r²
where F is the gravitational force
g is the gravitational constant
m₁,m₂ is the masses of the two cars
r is the distance between the two cars
Let us rearrange the above equation,
r² = g m₁m₂/F
Let us substitute the known values in the above equation, we get
r² = 6.67 x 10⁻¹¹ x 1050 x 1050 / 2.27 x 10⁻⁷
= 7353675 x 10⁻¹¹ / 2.27 x 10⁻⁷
= 3239504.41 x 10⁴
r = √3239504.41 x 10⁴
= 1799.86233 x 10²
= 17.99 x 10⁴ m
Therefore, the distance between the two cars is 17.99 x 10⁴ m
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Rank these throws based on the amount of time it takes the ball to hit the ground.
Rank from largest to smallest. To rank items as equivalent, overlap them.
10 m/s 60 degree angle
15 m/s 45 degree angle
20 m/ s 0 degree
10 m/s 90 degree angle
15 m/s 30 degree angle
15 m/s 60 degree angle
The order of projectile motion of the amount of times from largest to smallest is, (6)>(2)>(4)>(1)>(5)>(3).
The projectile motion is a free fall motion of the body (or an object) in the horizontal path with constant velocity. In the projectile motion, the horizontal velocity of an object remains constant but the vertical velocity of an object changes along its path.
Total time taken by the object between the point of projection and the point where the ball touches the ground is called time of flight. The time of flight is the sum of time of ascent and time of decent.
The concept required to solve this question is projectile motion of an object. Initially, calculate the time taken by the ball to hit the ground in each case. Finally, determine the order of the amount of time from largest to smallest by using the resultant values of the time taken by the ball to hit the ground in all cases.
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what advantages do fiber optic cables offer over twisted pair cables and other media choices? what are the disadvantages of implementing fiber optic cables?
The main advantage of using optical fibre cable over unshielded twisted pair cable is its huge bandwidth. But even so, we use twisted pair cable at the consumer end on occasion.
The following are some advantages of using optical fibre cable: 1. Access to the internet Twisted pair cable's diameter is greater than that of optical fibre cable. Optical fibre cable has a tiny diameter due to its flexibility and thinness. 4. In twisted-pair cables, attenuation is very high. In optical fibre cables, attenuation is extremely low. More cable is allowed with fibre optic cables compared to copper twisted pair lines. Compared to copper twisted pair connections, fibre optic cables have a wider bandwidth. Installing the cables is affordable.
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1. If the dielectric becomes damaged it can 'break down' like the air does when lightning strikes. What would happen to the charge on the plates?
Answer:
Explanation:
When the dielectric becomes damaged, it can no longer prevent the charge on the plates from leaking out. This process is known as dielectric breakdown. When the dielectric breaks down, the charge on the plates will begin to dissipate. This can result in a spark or arc, as the charges will be forced to jump the gap and form a conductive path. This can lead to potentially dangerous situations, as the energy released can be quite high. Additionally, the sudden change in the electric field can cause other electrical components to be damaged or destroyed, depending on the amount of energy released.
a 60 kg person drives a 2000 kg car at 100 km/h over the top of a hill that has a radius of curvature of 100 m. find the normal force that the seat exerts on the person in the car as it tops the hill.
The normal force that the seat exerts on the person in the car is approximately 206000 N.
What do you mean by force?An interaction between objects is referred to as a force. It is called an interaction because when one object acts on another, the other object responds in kind.
To find the normal force that the seat exerts on the person in the car as it tops the hill, we can use the formula for centripetal force:
F = m * a, where F is the force, m is the mass, and a is the centripetal acceleration.
The centripetal acceleration is given by the formula: a = v² / r, where v is the velocity and r is the radius of curvature of the hill.
Plugging in the given values, we get:
a = (100,000 m/h)² / 100 m = 10^8 m/s²
To find the normal force, we need to use the weight of person and the car as the mass and the centripetal acceleration we just calculated.
F = (60 kg + 2000 kg) * 10^8 m/s²
F = 2.06 * 10^5 N or 206000 N
So, the normal force that the seat exerts on the person in the car is approximately 206000 N.
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standing waves on a string suppose that there was a ride at an amusement park that was titled the standing wave. which location - node or antinode - on the ride would give the greatest thrill? why?
Imagine there existed a rollercoaster called the standing wave at an amusement park, and that the first and last nodes of the ride would provide the greatest thrills.
In physics, a standing wave—also known as a stationary wave—is an oscillating wave in space with a fixed peak amplitude profile. The peak amplitude of the wave oscillations remains constant throughout all of space and time, irrespective of the location. Imagine there existed a rollercoaster called the standing wave at an amusement park. When two waves that are moving in opposing directions superimpose, a standing wave is produced. Two identical waves flow in opposing directions, therefore there is no net change in momentum or energy.
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A sample of neon effuses from a container in 74 seconds. The same amount of an unknown noble gas requires 151 seconds.(a) Identify the gas.
The unknown noble gas is argon. Argon is the third most abundant gas in Earth's atmosphere, making up around 0.94% of the total atmosphere.
It is also the most abundant noble gas, making up around 1.3% of the atmosphere. Argon is an odorless, colorless, and tasteless gas that is slightly heavier than air.
It is nontoxic and nonflammable. Argon has a low thermal conductivity, so it is often used as an inert gas shield in welding and other high-temperature processes. In this case, it took 151 seconds for the same amount of argon to effuse from the container, compared to 74 seconds for neon.
This indicates that argon has a much lower effusion rate than neon and is therefore a different gas.
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a 10cm×10cm×10cm wood block with a density of 720 kg/m3 floats in water.
PART A
What is the distance from the top of the block to the water if the water is fresh?
PART B
If it's seawater? Suppose that rho=1030kg/m3.
The distance from the top of the block to the water will be 3.6 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.
What is distance?Distance is a numerical measurement of how far apart two objects, places, or points are in space. It is often measured in units like kilometers, miles, meters, or feet. Distance can also be conceptualized in terms of time, as in the distance between two points in time.
PART A
If the water is fresh, the distance from the top of the block to the water is 3.6cm. This is because the block's density is 720 kg/m3, while the density of fresh water is 1000 kg/m3. Therefore, the block is lighter than the water and will float. The block will displace a volume of 1000 kg/m3, which is equal to 10 cm3. Thus, the distance from the top of the block to the water will be 3.6 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.
PART B
If the water is seawater, the distance from the top of the block to the water is 2.7cm. This is because the block's density is still 720 kg/m3, while the density of seawater is 1030 kg/m3. Therefore, the block is still lighter than the water and will still float. The block will displace a volume of 1030 kg/m3, which is equal to 10.3 cm3. Thus, the distance from the top of the block to the water will be 2.7 cm, which is the volume displaced by the block divided by the area of the top of the block, which is 10cm x 10cm.
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if a ring particle survived for the age of the solar system, how many collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours?
If a ring particle survived for the age of the solar system, the collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours is 4.03 x 10¹³.
The solar system can be defined as the system including the Sun and all other objects that are gravitationally connected to the Sun. All the solar system objects rotate in the identical direction about the Sun. There are many planetary systems like ours in the universe, with planets orbiting a host star. Our planetary system is named the "solar" system because our Sun is named Sol, after the Latin word for Sun, "solar," and anything related to the Sun we call "solar." by this primary information, we can firmly conclude that if a ring particle survived for the age of the solar system, the collisions would it undergo, given that each ring particle in the densest part of Saturn's rings collides with another about every 5 hours is 4.03 x 10¹³.
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A 60 cm diameter wheel accelerates from rest at a rate of 7 rad/s2. what is the tangential acceleration of a point on the edge of the wheel?
The tangential acceleration of a point on the edge of the wheel is calculated to be 2.1 m/s².
By definition, the angular acceleration, is equal to the rate of change of the angular velocity, ω:
α = Δω / Δt ----(1)
The linear velocity, v, can be expressed as follows using the definition of the angular velocity,
v = ω × r
⇒ Δv = Δω × r ----(2)
Putting Δω, in place of (1) in (2) gives us,
Δv = α × Δt × r
⇒ Δv/Δt = α × r ----(3)
Expression of linear acceleration, can be written as,
a = α × r
For a point on the edge of the wheel, the linear acceleration is tangent to the rim, and is equal to the product of the angular acceleration times the distance to the centre, which for a point on the edge of the wheel, is just the radius,
⇒ a = 7 rad/sec² × 0.3 m = 2.1 m/s²
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a 2.00 c charge moves from a 50.0 v equipotential line to a 40.0 v equipotential line. what is the change in the electric potential energy of the charge field system?
The charge field system's electric potential energy changed by 20J.
What is the most accurate way to define potential energy?Potential energy's definition is quite simple: It is a type of energy that can exert force on other objects but is not now exerting any force on them. In other words, available energy concerns object positions rather than object motion.
What are five examples of potential energy?Potential energy can be transformed into kinetic energy by being stored. Potential energy can take on a variety of shapes, such as gravitational, magnetic, electrical, molecular, and elastic potential energy.
Change in electric potential energy
= charge x potential difference
= 2 x ( 50 - 40)
= 20 J
Potential will be decreased by this amount.
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Contain(s) an objective description of the murder victim.
The murder victim was a white male in his early thirties, approximately 5 feet 8 inches tall with a thin build and brown hair.
What is victim?A victim is a person who has been harmed, either physically or emotionally, as a result of another person's actions or inaction. Victims may suffer physical injuries, psychological trauma, and/or financial losses. Victims also experience feelings of powerlessness, fear, anxiety, and anger. Victims of crime often feel a deep sense of injustice, which may manifest in the form of post-traumatic stress disorder, depression, or other psychological distress. Victims may also experience social stigma, which can have a long-term impact on their lives. Victims of crime may also have difficulty accessing justice and finding support to help them cope. It is important for victims of crime to have access to a range of services that can provide them with appropriate assistance and support.
He was wearing a white t-shirt and jeans at the time of his death. He had several stab wounds to his torso and a deep cut to his throat.
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Look at the equation below. What does
the u represent?
a=V-U/t
U is represent is Speed .
What is Speed?
Measuring is the most important scientific concept. Many different types of quantifiable quantities can be measured using base or physical fundamental units. One such quantifiable quantity is speed, which computes the proportion of a moving object's distance travelled to its travel time. In this session, let's examine speed in further detail. An object is considered to be moving at uniform speed if it covers the same distance in the same period of time.
An object is considered to be moving at variable speed when it covers a varying distance at regular intervals of time.
Typical speed: The consistent speed determined by the ratio of the overall distance travelled by an object to the total amount of time it takes to go is known as average speed.
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What types of energy transformation take place in battery operated radio?
Explanation:
In a battery-operated radio, energy is transformed from chemical energy stored in the batteries to electrical energy, which is then used to power the radio's electronic components and produce sound through the speakers. The electrical energy from the batteries is used to power the radio's circuits and drive the movement of the speakers' diaphragm, which produces sound waves. This process is known as electro-mechanical energy transformation.
Answer:
from mechanical to sound energy
the density of osmium (the densest metal) is 22.57 g/cm3. what volume would be occupied by 4.42 kg of osmium?
Osmium has a density of 22.57 g/cm³, therefore 100.55 ml of space would be taken up by 1.50 kg with osmium.
Why is density important?The density of a place refers to the number of things there, which may include inhabitants, animal, trees, or artefacts. The density is calculated by dividing the number of objects by the breadth of the area. A country's population density is calculated by dividing the entire person by the area, expressed in square kilometres or miles.
The following formula can be used to determine density:
Density is calculated as mass divided by volume in litres.
Density = 22.57 g/cm³
Mass = 4.42 kg
In the equation, the value is replaced,
22.57 g/cm³ = 4.42 kg / volume
Volume = 22.75 g/cm³ × 4.42 kg
Volume = 100.55 ml
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A van traveling 110 km/h runs into a concrete wall. The front of the van crushes such that the driver, who is wearing seat belts and shoulder straps, comes to rest after traveling 0.60 m following the impact. a. Assuming constant acceleration, how much time passes between impact and rest? b. How large is the negative acceleration experienced by the driver? c. How many "g"s did the driver experience?
a) Assuming constant acceleration, the time passes between impact and rest is about 3.927×10⁻²s.
b) The negative acceleration experienced by the driver |a| is 778m/s².
c) 79.39g's the driver will experience.
What is the straightforward meaning of velocity?A vectorial representation of velocity is the displacement in space-time that an object or particle experiences. The standard unit for measuring velocity magnitude is the metre per second (m/s) (also known as speed).
a) [tex]V_{i}[/tex] = 110km/h = 30.56m/s
[tex]V_{f}[/tex] = 0
[tex]V^{2} _{f}[/tex] = [tex]V^{2} _{i}[/tex] +2as
0 = (30.56)² + 2a(0.6)
a = -778m/s²
Now [tex]V_{f}[/tex] = [tex]V_{i}[/tex] + at
0 = 30.56 + -778 t
t = 3.927×10⁻²s
b) The negative acceleration experienced by the driver |a| = 778m/s²
c) g = |a|/9.8m/s² = 79.39g's
79.39g's the driver will experience.
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a car can round an 80-meter radius curve at a maximum speed of 20 m/s. find the maximum speed the car can travel on the same surface if the radius of the curve is increased to 320 meters.
A car can travel at a top speed of 20 m/s around a curve with an 80-meter radius. r=0.52 and v=40.4 m/s.
What is speed and what is its unit in physics?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and or the basic unit od height are combined to form new SI unit of speed.
How does physics define speed?Knowing the variables for both distance and time is necessary to calculate the units for speed. Here, the distance is measured in meters and the time is measured in seconds.
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002 10.0 points
A figure skater begins spinning counterclockwise at an angular speed of 4.0 π rad/s. During a 4.4 s interval, she slowly pulls her arms inward and finally spins at 7.8 T rad/s. What is her average angular acceleration
during this time interval?
Answer in units of rad/s².
Answer:
0.86 rad/s² counterclockwise
Explanation:
Average angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
α = (7.8π rad/s − 4.0π rad/s) / 4.4 s
α = (3.8π / 4.4) rad/s²
α = 0.86 rad/s²
Gwen is completing a physics investigation involving the speeds of toy cars on a track. Two cars are going to be released from the top of a ramp and timed until they reach the bottom. Before her investigation, Gwen comes up with a hypothesis. She states that toy car A will be faster than toy car B. She runs three trials of her investigation and records her data.
20 POINTS PLSSS help...During her investigation, Gwen is using a reference point to help her in her measurements. What is a reference point used to measure?
A. energy
B. magnetism
C. mass
D. movement
Magnetism is using a reference point to help her in her measurements.
What is Magnetism?The force that magnets use to either attract or repel one another is known as magnetism.
The force that magnets use to either attract or repel one another is known as magnetism. Electric charges in motion are the source of magnetism.
Atoms, the smallest building blocks of matter, make up every substance. There are electrons in every atom, which are charged particles. The electrons that make up an atom's nucleus, or core, spin like tops.
Therefore, Magnetism is using a reference point to help her in her measurements.
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An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2.
If her speed is 450 m/s at this time, find the radius of the loop.
Answer in units of km.
A particle with mass 1.81 xio-3 kg and a charge of 1.22 times sign 10^-8 C has, at a given instant, a velocity v = (3.00 times sign 10^4 m/s)j. What are the magnitude and direction of the particle's acceleration produced by a uniform magnetic field B=(1.63 T)i+(0.980 T)j?Draw the velocity v and magnetic field B vectors. Since they have different units, their relative magnitudes aren't relevant. Be certain they have the correct orientations relative to the given coordinate system. The dot in the center of the image represents the particle. Recall that i, j, and k are the unit vectors in the x, y, and z directions, respectively.Find the acceleration vector for the charge. Enter the x, y, and z components of the acceleration in meters per second squared separated by commas. A= m/s^2
The acceleration vector for the charge is -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j, and is perpendicular to the plane formed by the velocity vector and the magnetic field vector.
The acceleration of a charged particle in a magnetic field is given by the Lorentz force equation:
F = q(v x B)
The magnitude of the acceleration is:
|a| = |q| |v x B|/m
The direction of the acceleration can be determined using the right-hand rule, which states that when the thumb of the right-hand points in the direction of v and the fingers curl in the direction of B, the extended palm of the hand points in the direction of a.
Given the given values, the acceleration vector will be:
a = q (v x B) / m = 1.22 x [tex]10^{-8}[/tex] C × (3.00 x [tex]10^4[/tex] m/s) x (1.63 T)i + (0.980 T)j / 1.81 x [tex]10^{-3}[/tex] kg = -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j
So the acceleration vector for the charge is -8.892 x [tex]10^4[/tex] m/s² i + 2.17 x [tex]10^4[/tex] m/s² j.
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If a car travels 400m North in 20 seconds, what is its velocity (remember velocity is speed with
direction)
The velocity of the car which travels 400 meters towards north in 20 seconds is 20m/s.
What is Velocity?Velocity is the directional speed of an object which is under motion as an indication of the rate of change in the position which is observed from a particular frame of reference by the observer and it is as measured by a particular standard of time as well. It is a vector quantity as it has both the magnitude and direction. The SI unit of velocity is meter per second (m/s).
The velocity of the car can be calculated by the formula:
Velocity = Displacement / time
Displacement = 400 m towards north direction
Time = 20 seconds
Velocity = 400m/ 20 sec
Velocity = 20m/s
Therefore, the velocity of the car is 20m/s.
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Suppose the distance from the lens system of the eye (cornea + lens) to the retina is 16 mm.
(a) What must the power of the lens be when looking at distant objects?
(b) What must the power of the lens be when looking at an object 18.2 cm from the eye?
(c) Suppose that the eye is farsighted; the person cannot see clearly objects that are closer than 1.0 m. Find the power of the contact lens you would prescribe so that objects as close as 18.2 cm can be seen clearly.
The power of the lens be when looking at distant objects are found to be +62.5 D and + 0.67D
What is the lens's power?The power of a lens is its capacity to cause the light rays falling on it to converge or diverge. The reciprocal of a lens's focal length is the lens's power. The SI power unit is the dioptre (D).
focal length = 16mm
power of lens = 1/f => 1/16 x 10^-3
=> +62.5 D
object distance = u = -18.2 cm
image distance = v = 16mm = 1.6cm
1/f = 1/v - 1/u
=> 1/f = 1/1.6 + 1/18.2
=> Power = 1/f => + 0.67D
What does a lens' focal length mean?When a lens is focused to infinity, its focal length can be calculated. The focal length of the lens indicates the amount of the scene that will be captured from an angle of view as well as the size of individual elements under magnification. The angle of view is narrower and the magnification is higher the longer the focal length.
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The work done in pushing a TV set a distance of 2 m with an average force of 20 N is
A) 2 J. B) 10 J. C) 20 J. D) 40 J. E) 800 J.
"The work done in pushing a TV set a distance of 2 m with an average force of 20 N is calculated to be 40 J."
The force used to move an object a specific distance is referred to as work in physics. It is determined by multiplying the force times the distance. It is the transfer of energy that occurs during movement.
Mathematically, W = F × s
Given that,
Distance in pushing a TV set = 2 m
Average force = 20 N
Work done while pushing a TV set = ?
Putting the above given values, we have,
W = F × s = 20 × 2 = 40 N-m = 40 J
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A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have at the top without flying off the road?
The centripetal acceleration is given by the formula: a = v^2 / r
where v is the speed of the car and r is the radius of the hill.
To calculate the maximum speed: v = sqrt(rgµ)
where g is the acceleration due to gravity (9.8 m/s^2) and µ is coefficient of friction.
v = (50 x 9.8 x 0.7) = 37.9 m/s or 135.8 km/h
What is centripetal acceleration?Centripetal acceleration also known as radial acceleration is the acceleration indicated towards the centre of any curved path and perpendicular to the velocity of the object. It causes an object to change its direction but doesn't alter its speed along a circular pathway.
Does speed change in centripetal force?The force can definitely accelerate the object but it cannot alter its speed. Whenever the unbalanced centripetal force acts perpendicular to the direction of motion, the speed of the object will remain constant.
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Newtonís third law states that for every action, there is a reaction. Which of the following accurately restates this law?
A.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater mass exerts a greater force
B.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater acceleration exerts a greater force
C.If object A exerts a force on object B, then object B always exerts a force back on A The two forces are equal in magnitude, but opposite in direction to each other.
D.If object A exerts a force on object B, then object B always exerts a force back on A. The object with the greater mass and acceleration exerts a greater force.
Answer:B
Explanation:
The answer would be B because Answer B exerts a force which has a reaction.
what is bout, the z component of the magnetic field outside the solenoid?
The magnetic field in the Z component which is outside the solenoid is zero.
The magnetic field lines are present outside the solenoid, but there are significantly less of them there than there are inside the solenoid. This is known as the flux. As a result, the magnetic field outside is thought to be almost nil. It is more accurate to assume that the magnetic field outside the solenoid is zero if the solenoid is quite long. It is false close to the solenoid's edge. We consider the magnetic field outside the solenoid to be zero for practical purposes. This amount of flux divided by the area outside the solenoids gives the flux density, which is equal to the strength of the field outside the solenoid is zero.
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two forces f1 and f2 are acting on a box shown below causing the box to move to the right across a surface. the two force vectors are drawn to the same scale. which force does more work on the box? justify your answer.
F1 puts in more effort than F2. The displacement is greater in F1 due to the higher horizontal component.
How come F1 is quicker than F2?Overall, Formula 1 cars are faster and far more powerful than F2 cars. The amount of downforce generated by Formula 1 cars is astounding, reaching up to 5 Gs. Speed has an impact on downforce; when a car moves quicker, more downforce is produced.
What is the force's horizontal component?A force's horizontal component is the portion of the force that acts in a horizontal direction on the body, whereas a force's vertical component is the portion of the force that acts in a vertical direction on the body.
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Javier is trying to lift a heavy old television. He is pulling up on the television with a force of 500N. Earth's gravity is pulling down on the television with a force of 500N.
The statement describes the forces on the television is (A). The forces are balanced, so there is no net force on the television. Javier's pulling force is equal to gravitational force.
How to add the forces inline?The forces that are inline can be added up. The force that has the opposite direction is negative.
We have
The pulling force, Fp = + 500 NThe gravitational force, Fg = - 500 NThe net force would be
∑F = F + Fg
∑F = 500 N + (-500) N
∑F = 0 N
Hence, the forces are balanced and the net force is zero.
Your question is incomplete, but most probably your full question was
Javier is trying to lift a heavy old television. He is pulling up on the television with a force of 500N. Earth's gravity is pulling down on the television with a force of 500N.
Assume all other forces on the television are balanced. Which statement describes the forces on the television?
The answer choices are
(A) The forces are balanced, so there is no net force on the television.
(B) The forces are unbalanced, so there is a net force on the television.
(C) The forces are unbalanced, so there is no net force on the television.
(D) The forces are balanced, so there is a net force on the television.
The answer is (A).
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Two small spheres spaced 20.0 cm apart have equal charge.
How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57 x 10-21 N?
Number of Electrons = ?
The electrons that must be present on each sphere if the magnitude of the force of repulsion between them is calculated to be 894 electrons.
Given that,
Force of repulsion = 4.57 × 10⁻²¹ N
The electrostatic force between the two charges is given by,
F = k q₁ q₂/r²
where,
k is the Coulomb's constant
q₁ = q₂ = q is the magnitude of the charge on each sphere
r = 20 cm = 0.20 m is the distance between the two spheres
We get the charge on each sphere by substituting and solving for q,
q = √(F r²/k) = √(4.57 × 10⁻²¹) (0.2)²/(9 × 10⁹) = 1.43 × 10⁻¹⁶ C
And since each electron has a charge of e = 1.6 × 10⁻¹⁹ C
Each sphere's net charge will be provided by,
q = N e
where,
N is the number of excess electrons
N = q/e = (1.43 × 10⁻¹⁶)/(1.6 × 10⁻¹⁹) = 894
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