Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.
Learn more about Rolling motion:
brainly.com/question/29568301
#SPJ4
If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above
(A) in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.
What is the definition of mechanical equilibrium?Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.
What distinguishes mechanical equilibrium from static equilibrium?A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.
Can mechanical equilibrium exist for an object in motion?When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.
To know more about acceleration visit:
https://brainly.com/question/460763
#SPJ4
A car accelerates uniformly from 20mph to 50mph in 3 seconds. What is its acceleration during this time
A = (v-u)/t, where an is acceleration, v is final speed, u is initial speed, and t is time, is the equation for acceleration. When the values are filled in, we obtain a = (60-20)/5 or an is 8 m/s2.
How is acceleration determined?The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).
How quickly does the time go from 0 to 2 seconds?+2 m/s2
If there is no change in velocity between 2 and 3 seconds, the acceleration is 0 m/s2. The acceleration is +2 m/s2 over the first 0 to the second interval. The acceleration is zero between seconds two and three. The acceleration is -3 m/s2 throughout the three to six-second period.
to know more about accelerates here:
brainly.com/question/12550364
#SPJ4
Under certain circumstances, the grounded (neutral) conductors of a residential service ____ permitted to be sized smaller than the phase conductors.
Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.
What is conductors?
A material that easily permits the flow of electricity is referred to as an electrical conductor. Conductivity is the quality of conductors that enables them to conduct electricity.
Electric current is the name given to the movement of electrons through a conductor. Voltage is the amount of power necessary to cause that current to flow through the conductor.
What is phase ?
Phases are parts of a system that are mechanically separable from other parts of the system and are physically distinct from other parts of the system. types of substance. Solid, liquid, or gaseous phases can exist in a system. Strong atomic bonding and high viscosity, which produce a hard form in solids, are their distinguishing characteristics.
Therefore, Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.
Learn more about conductors from the given link.
https://brainly.com/question/492289
#SPJ4
Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
To know more about graduated cylinder visit:
https://brainly.com/question/13116652
#SPJ1
This problem contains several examples of this.Consider an object sliding on a frictionless ramp as depicted here. (Figure 1) The object is already moving along the ramp toward position 2 when it is at position 1. The following questions concern the direction of the object's acceleration vector a_vec. In this problem, you should find the direction of the acceleration vector by drawing the velocity vector at two points near to the position you are asked about. Note that since the object moves along the track, its velocity vector at a point will be tangent to the track at that point. The acceleration vector will point in the same direction as the vector difference of the two velocities.
Which direction best approximates the direction of a_vec when the object is at position 2?
a. straight up b. upward to the right c. straight down d. downward to the right
This problem contains several examples of this.Consider an object sliding on a ramp as depicted here.Downward to the right.
What is the sliding ?
Sliding is a type of motion that involves the movement of an object relative to a surface while keeping contact with it. This type of motion is often used in everyday activities such as walking, running, and skiing. Sliding can also refer to the movement of two or more objects in contact with each other, such as a car door sliding open or a sheet of paper sliding across a table. In physics, sliding is considered to be a type of frictional motion, in which the frictional force between the object and the surface it is sliding on causes the object to move.
To learn more about sliding
https://brainly.com/question/17140804
#SPJ4
The internal energy within a system associated with the motion of particles and that can be added to a substance is called _____.(1 point) electrostatic forces electrostatic forces temperature temperature thermal energy thermal energy kinetic energy
Thermal energy is the internal energy that exists in a system and is connected to the movement of the particles and can be contributed to a substance.
Describe thermal energy.The energy in such a system that regulates its temperature is referred to as thermal energy. The exchange of thermal energy is referred to as "heating." Thermodynamics, a whole field of physics, is the study of how heat is transmitted between various systems and how work is performed in the process.
Describe motion.In physics, motion is a variation in an object's position with respect to its surroundings over a predetermined amount of time. To describe how an object travelling with a specific mass moves, use the terms below: Distance. Displacement. Speed.
So-called thermal energy is the internal energy present in a system that is connected to particle motion that can be given to a substance.
Learn more about thermal energy from the given link.
https://brainly.com/question/19666326
#SPJ4
Can nuclei of the same element have different values of Z? Of N? Of A?
Check all that apply.
O 1 Nuclei of the same element must have the same values of Z, N, and A.
O 2 Nuclei of the same element can have different values of Z.3
O 3 Nuclei of the same element can have different values of A.
O 4 Nuclei of the same element can have different values of N.
Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.
Nuclei of the same element can have different values of Z, N, and A due to the number of protons, neutrons, and nucleons they contain, respectively. This is because the number of these particles in the nucleus can vary, although they all will still be the same element. Therefore, option 2, 3, and 4 are correct and option 1 is incorrect.
Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.
learn more about proton here
https://brainly.com/question/12535409
#SPJ4
Which of the following graphs best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions
The graph that best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions would be an inverse square law graph. This graph would show that the intensity of sound decreases as the distance from the source increases. The intensity of sound is inversely proportional to the square of the distance from the source.
This means that if the distance from the source is doubled, the intensity of sound is decreased by a factor of four. This relationship is commonly observed in physics and engineering and is known as the inverse square law of sound propagation. This law states that the intensity of sound decreases as the distance from the source increases in a manner that is inversely proportional to the square of the distance.
Read more about wave propagation:
https://brainly.com/question/9349349
#SPJ4
In the above situation, what is the net torque on wire 2 due to wire 1?
a. Up b. Down
c. Into the screen d. Out of the screen e. Zero
In the above situation the net torque on wire 2 due to wire 1 is Zero.
Which way is the force acting on the wire?Fleming's left-hand rule identifies the force's direction on a current-carrying wire when it is placed in a magnetic field. It always runs counter to how the magnetic field and electric current are moving.
Directional torque: what is it?Torque is a vector quantity by definition. The direction is determined as part of the torque computation. The direction is parallel to both the force and the radius from the axis. It is customary to choose it along the rotational axis in the right-hand rule direction.
When rotating clockwise, is torque negative?a force that is applied that results in a positive counterclockwise torque A negative torque rotates an object in a clockwise direction.
To know more about torque visit:
https://brainly.com/question/20691242
#SPJ4
An engine with a power output of 110 hp has a thermal efficiency of 28%. Determine the rate of fuel consumption (in kg/hr) if heating valve of the fuel is 44,200kj/kg
The rate of fuel consumption is 6.69 kg/hr.
Solution:
To determine the rate of fuel consumption, we need to calculate the amount of energy required by the engine and divide that by the thermal efficiency.
From the question:
W = 110 hp
η = 28%.
r = ?
First, we can convert the power output from horsepower to watts:
1hp = 746 W
power output = 110 hp x 746 W/hp
= 82016 W
Then, we can calculate the energy required by the engine by multiplying the power output by the time the engine is running:
Energy = Power x time
Without knowing the time the engine runs, we cannot calculate the energy required.
We can calculate the fuel consumption by using the heating value of the fuel and the thermal efficiency.
Fuel consumption = ( Power )
(heating value * thermal efficiency))
So in this case:
Fuel consumption = (82016)
(44200*0.28)
= (82016)
12276
Fuel consumption = 6.69 kg/hr
Hence, the rate of fuel consumption is 6.69 kg/hr.
Learn more about rate of fuel consumption on
https://brainly.com/question/28809733
#SPJ1
How far up a wall will a 25 ft ladder reach if the base of the ladder is 7 feet from the wall?
The height formed by this 25-foot ladder that leans against a wall is 24 feet.
To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.
Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:
(25 ft)^2 = h^2 + (7 ft)^2
625 = h^2 + 49
576 = h^2
h = sqrt(576) = 24 ft
Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.
Learn more about determining the height of a ladder based on its length and the distance of its base from a wall here: https://brainly.com/question/13734303
#SPJ4
Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from Part D, where y0=0. 75m, α=0. 95s^−1, and ω=6. 3s^−1
The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.
Given,
t = 0.25 s
y = 0.75 m
α = 0.95 rad/s²
ω = 6.3 rad/s
Wf=6.54 rad/sec
V=wr
6.54*0.75
V=4.91 m/s
The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.
If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.
Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.
To know more about vertical velocity here
https://brainly.com/question/27917951
#SPJ4
A plane can fly 3952 kilometers in 3 hours. If the plane flies in
cloudy skies, it can fly 184 less kilometers than usual within the
same time. What is the speed for the plane flies in cloudy
skies?
km/h
Speed is a scalar quantity that is independent of direction. It is equal to the total distance traveled divided by the total time spent. This means that a plane can normally travel 3952 kilometers in three hours.
How is the total distance traveled calculated?Step 1: Make a note of each time the direction changes. Step 2: Determine the distance traveled between each change in direction. Step 3: The total distance traveled is the sum of all the distances from step 2.
As a result, its typical speed is Speed = total distance / total time Speed = 3952 / 3 Speed = 1317.33 km/h.
However, under cloudy conditions, it will travel 184 km less in the same amount of time.
Then, we want to determine the speed under cloudy conditions. Since speed is equal to the total distance divided by the total amount of time, we need to know the total distance under cloudy conditions.
Total distance is equal to the normal distance traveled minus the delay caused by cloudy conditions Total distance. = 3952 - 184 Total distance = 3768 km Total time = 3 hours Speed = 3768 / 3 Speed = 1256 km/hr The plane is traveling at a speed of 1256 km/hr in cloudy conditions. Because it covered less ground in the same amount of time, its speed decreases.
To learn more about total distance here:
https://brainly.com/question/6516113
#SPJ1
A crate of eggs is located in the middle of a pickup truck as the truck rounds a corner in the road. The curve has a radius of 35 m. If the coefficient of static friction between the crate and the truck is 0.600, how fast can the truck move without the crate sliding
The speed of the truck is 14.3m/s without the crate sliding.
What is the equation for static friction?The resistive friction force (Fr) multiplied by the usual or horizontal pressure (N) pushing the things together yields the frictional coefficient (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.
Calculation -:Call the mass of the egg crate m. The forces on it are its weight Fg =mg vertically down, the normal force n of the truck bed vertically up, and static friction (fs) directed to oppose relative sliding motion of the crate on the truck bed. The friction force is directed radially inward. It is the only horizontal force on the crate, so it must provide the centripetal acceleration. When the truck has maximum speed, friction fs will have its maximum value with fs=μn.
Newton’s second law in component form becomes
∑Fy=ma(y) giving n−mg = 0 or n = mg
∑F(x)=ma(x) giving f(s)= ma(r)
From these equations
μ(s)n ≤ mv²/r and μ(s)mg ≤ mv²/r
The mass divides out. The maximum speed is then
v≤[tex]\sqrt{}[/tex]μrg =[tex]\sqrt{}[/tex]0.600(35.0m)(9.80 m/s²) = v ≤1 4.3m/s.
To know more about static friction visit :
brainly.com/question/13000653
#SPJ4
Using the principle of conservation of energy and the final height the golf ball reaches after bouncing, determine the theoretical speed with which the ball must have left the floor (i.e on its way back up).
Mass: 0.0453kg
Initial height: 1m
Initial potential energy: 0.444J
Final height: 0.61m
Final potential energy: 0.271J
Efficiency: 61.0%
Answer:
2.58 m/s
Explanation:
To determine the theoretical speed at which the golf ball must have left the floor, you can use the principle of conservation of energy, which states that the total energy in a closed system remains constant. In this case, we can use the fact that the ball's potential energy changes as it rises and falls.
First, we know that the efficiency of the ball is 61.0%, so we can assume that 39% of the energy is lost as heat, sound, etc. We can calculate the initial kinetic energy (Ei) of the ball as:
Ei = Efficiency * (Initial Potential energy - Final Potential energy)
Ei = 0.61 * (0.444 - 0.271) = 0.119J
Now, we can use this value to calculate the velocity (Vi) of the ball as it left the floor, by using the equation of kinetic energy:
Ei = 0.5 * m * Vi^2
Where:
m = mass of the ball = 0.0453 kg
Vi = velocity of the ball when it left the floor
By substituting the values in the equation we get:
0.119 = 0.5 * 0.0453 * Vi^2
Solving for Vi:
Vi = sqrt(0.119 / (0.5 * 0.0453))
Vi ≈ 2.58 m/s
So, the theoretical speed with which the ball must have left the floor is approximately 2.58 m/s
Keep in mind that this is a theoretical speed and there may be a variance with real-world observations.
The____of a conductor is defined as the diameter of the conductor in mils, squared.
The cross-sectional area of a conductor is defined as the diameter of the conductor in mils, squared.
What is conductor?
A conductor is a material or object that allows the flow of electric current. It is a material that has a large number of free electrons which can move freely between atoms, allowing for the current to flow through the material. Conductors can be either solid or liquid, and can be used to create electrical circuits and systems. Common conductors used in electrical systems include copper, aluminum, silver, and gold. These materials have high electrical conductivity, meaning they have low resistance and allow for large amounts of electric current to pass through them. Conductors are essential in many electronics and electrical devices, as they are responsible for carrying the electric current from one component to another.
To learn more about conductor
https://brainly.com/question/492289
#SPJ4
Three 3. 0g {\rm g} balls are tied to 80-cm {\rm cm}-long threads and hung from a single fixed point. Each of the balls is given the same charge q q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm {\rm cm} sides.
What is q?
Wave amplitude at a specific distance is charged (r). It can be expressed as energy; however Coulomb's law says that it is frequently described as a force.
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. Subatomic particles or matter particles are examples of the different forms of charges: Positive charge characterizes protons. Negative charge characterizes electrons.
Tcosθ=mg \sTsinθ=Fe\stanθ=
mg \sFe
∵ Fe= \sr \s2
Kq \s2
Fe= \s(2d) \s2
Kq \s2
Fe=4.l2 sin2 Kq2
"tan" equals "4l 2 sin 2 mg Kq 2"
equals (4l 2 sin 2 mg)4 0
q \s2
Q 2 equals (4mgl 2 sin 2 tan).
4πϵ \s0
Learn more about charge here-
https://brainly.com/question/30163160
#SPJ4
A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?
(Neglect any friction betweem the wall and the picture fame)
The angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰.
By using the parallelogram law of vector addition, it is possible to calculate the angle between the two wires.
a² + b² - 2abcosθ = R²
Where;
R = is the outcome vector = the frame's weight ⇒ W
Angle between the two wires equals 0.75W for the first wire's tension and 0.75W for the second wire's tension.
(0.75W)² + (0.75W)² - 2(0.75W x 0.75W) cosθ = W²
1.125W² - 1.125W² cosθ = W²
= 1.125W²(1 - cosθ)
W²/1.125W² = 1 - cosθ
0.8889 = 1 - cosθ
cosθ = 1 - 0.8889
cos θ = 0.1111
θ = arc cos(0.1111)
θ = 83.6⁰
So, the angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰
Learn more about tension here: https://brainly.com/question/13258922
#SPJ4
ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a
The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]
What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.
What is angular velocity and write its formula?
Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.
Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day
1 day = 24x60x60
1 day=86400s
Angular velocity is given by :
[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]
Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.
To know more about angular velocity :
https://brainly.com/question/20432894
#SPJ4
Three loops of wire move near a long straight wire carrying a current as in the following figure. (a) What is the direction of the induced current, if any, in loop A? O clockwise O counterclockwise
O No current is induced. (b) What is the direction of the induced current, if any, in loop B? O clockwise O counterclockwise O No current is induced. (c) What is the direction of the induced current, if any, in loop C? O clockwise O counterclockwise O No current is induced.
(A) The current in the long straight wire produces a magnetic field that is perpendicular to its direction of flow.
What is Counter clockwise ?
Counter clockwise is a direction opposite to the usual clockwise direction. It is often used to describe the direction of rotation or movement, such as the turning of a wheel, the orbits of planets, or the hands of a clock. Counterclockwise motion can also be referred to as "widdershins" or "anticlockwise."
This magnetic field interacts with the loops of wire, inducing a current in them. The direction of the current in loop A is clockwise due to the right hand rule.
(B) No current is induced. Since the flux through loop B is not changing, no induced current is created.
(C) No current is induced. Since loop C is not moving, the changing magnetic field will not induce any current in it.
To learn about Counter clockwise
https://brainly.com/question/28354740
#SPJ4
Complete Questions:
(a) What is the direction of the induced current, if any, in loop A?
A) clockwise
B) counterclockwise
C) No current is induced.
(b) What is the direction of the induced current, if any, in loop B?
A clockwise
B counterclockwise
C No current is induced.
(c) What is the direction of the induced current, if any, in loop C?
A clockwise
B counterclockwise
C No current is induced.
What are the 4 components of latency?
The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.
What constitutes latency?The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.
How many different kinds of delay exist?Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.
To know more about latency visit:-
brainly.com/question/29497697
#SPJ4
Suppose a molecule has neutrons, a Coulomb total electric charge, and electrons. About how many protons must it have
molecule possesses neutrons and a total electric charge of one Coulomb. e is the electronic value, 1.60 x 10-19 Coulombs, and the proton has a cost of +e while the electron has a fee of -e.
How much is one coulomb?The quantity of charge carried by a present of one amp for one second is measured in coulombs, which is the unit of measurement used in the SI for electric charge. It may also be a quality of a substance that causes magnetic and electric effects to occur. The symbol for it is C. According to math, 1 Coulomb equals 1 Ampere x 1/sec.
A coulomb quizlet: what is it?A coulomb is an unit of power charge that represents the charge that is transmitted over one ampere of current in one second. Colomb's rule. depending on the charged items, electric force.
To know more about Coulomb visit :
https://brainly.com/question/12498766
#SPJ4
Find the interaction energy for two point charges, q1 and q2, a distance a apart. [Hint: Put q1 at the origin and q2 on the z axis; use spherical coordinates, and do the r integral first.]
The interaction energy for two point charges, q₁ and q₂, a distance 'a' apart is q₁q₂/4πε₀a.
In physics, interaction energy is the contribution to the total energy that is caused by an interaction between the objects being evaluated. The interaction energy generally depends on the relative position of the objects.
For example q₁q₂/4πε₀Δr is the electrostatic interaction energy between two objects with charges q₁ and q₂.
[tex]W_{tot}[/tex] = ε₀/2(∫E²dτ)
= ε₀/2{(∫E₁ + E₂)²dτ}
= ε₀/2(∫E₁² + E₂² + 2E₁E₂)dτ
= W₁ + W₂ + ε₀(∫E₁ × E₂)²dτ
E₁ = 1/4πε₀(q₁/r²)r
E₂ = 1/4πε₀(q₂/ᴫ²)ᴫ
[tex]W_{i}[/tex] = ε₀q₁q₂/(4πε₀)²[∫{(1/r²ᴫ²)cosβr²sinθdrdθdφ}]
Where (from the figure)
ᴫ = √(r² + a² - 2ra cosθ), cosβ = (r - a cosθ)/ᴫ
Therefore
[tex]W_{i}[/tex] = {q₁q₂/(4π)²ε₀} 2π∫{(r - acosθ)/ᴫ³} sinθ drdθ
First do the r integral first, changing variables to ᴫ:
2ᴫdᴫ = (2r - 2a cosθ)
⇒(r - a cosθ)dr = ᴫdᴫ
As r : 0→∞, ᴫ : a→∞, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex](∫limit 0 to ∞ 1/ᴫ² dᴫ) sinθ dθ
The ᴫ integral is 1/a, so
[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex] sinθ dθ
[tex]W_{i}[/tex] = q₁q₂/4πε₀a
This is the exact interaction energy of two-point charges.
To know more about electrostatic, here
https://brainly.com/question/14889552
#SPJ4
An object is dropped from a height of 8 m. At what height will its kinetic energy and its potential energy be equal
At the peak it has the same potential and kinetic energy.
How is kinetic energy calculated?Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second, the kinetic energy is measured in kilogram-meters squared per second squared.
Kinetic energy and potential energy are equivalent at what height?The velocity will be zero and the ball's displacement will be at its maximum at the highest point of the trajectory. We might state that the energy present is equivalent to the sum of the potential energy.
To know more about kinetic energy visit:-
https://brainly.com/question/15764612
#SPJ4
Caffeine dosage causes a change in the time to finish a maze and it isn't possible for that the time to finish a maze could cause a change in
caffeine dosage.
Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.
Caffeine Maze Time ImpactCaffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.
On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.
So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.
Learn more about Caffeine Dosage here:
https://brainly.com/question/8554538
#SPJ4
Describe a method that can be used to open a tight lid of bottle without damaging it
Answer:
But the safest way to loosen a tight cap may be to run hot water on it so that it expands slightly.
Explanation:
Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.
I NEED THIS ASAP
3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.
Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:
First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.
To know more about schedule, here
https://brainly.com/question/9917659
#SPJ4
You and your friend, who weighs the same as you want to go to the top of the Eiffel Tower Your friend takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare the gravitational potential energy of you and your friend, after you both reach the top. Your gravitational potential energy is greater than that of your friend, because you traveled a greater distance in getting to the top. Your friend's gravitational potential energy is greater than yours, because he got to the top faster Both of you have the same amount of gravitational potential energy at the top. Dit is impossible to tell, since the times you both took are unknown Impossible to tell since the distances you both traveled are unknown
You and your friend will have the same potential energy at the top of the tower because gravitational potential only depends on height and not on how an object got there.
What does potential energy mean?The power that a substance retains as a result of its position in relation to other things, internal pressures, electric charge, or other substances is known as potential energy in physics. Potential energy is a form of energy that is stored but is dependent on the interactions of different system components.
A steel ball has more potential energy if it is raised above the ground as opposed to dropping to it. The energy that is present in everything that is raised from rest and has the potential to be released at a later time is known as potential energy.
To learn more about potential energy visit:
brainly.com/question/24284560
#SPJ4
Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0∘R). However, the units of this scale are the same size as those on the Fahrenheit scale (∘F) rather than the Celsius scale (∘C).
A) Given that water at standard pressure freezes at 0∘C, which corresponds to 32∘F, and that it boils at 100∘C, which corresponds to 212∘F, calculate the temperature difference ΔT in degrees Fahrenheit that corresponds to a temperature difference of 1 K on the Kelvin scale.
B) What is the numerical value of the triple-point temperature Ttriple of water on the Rankine scale?
The temperature difference of 1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale. Triple-point temperature of water is approximately 491 degrees Rankine.
The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.
The absolute zero is zero degrees Rankine. In Celsius scale, absolute zero is −273 °C.
A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,
ΔT 1 K = ΔT 1°C
The ratio of Celsius and Fahrenheit scale is 5/9, therefore:
K/F = C/F = 5/9
Hence,
ΔT 1 K = ΔT (5/9)°F
B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to −273 °C, hence:
0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.
Learn more about Rankine scale here:
https://brainly.com/question/13294139
#SPJ4
In general, how can you calculate the distance of object B from the fulcrum so that it balances object A
The formulas F(A)×R(A) = F(B)×R(B) should be used to determine the distance of item B from the fulcrum such that it balances object A. where F is the object's force and R is the object's distance from the fulcrum.
What does "force" actually mean?The push or pull that causes a massed body to change its speed is the definition of force. An agent with the ability to change a body's rest or moving condition is known as an external force. It has a magnitude as well as direction.
How come forces occur?Forces are created by the interactions between two (or more) objects. There is a similar but opposing force acting on each individual on the other. External forces are what cause the item to move.
To know more about force visit :
https://brainly.com/question/13191643
#SPJ4