One airplane carries a charge of -5.0 C and another airplane carries a charge of 1.0 C. The
magnitude of the electric force between them is 6.0 × 10³ N.
Calculate the distance between these two charged objects.

The distance has the car traveled during the 6 seconds is 90 m.

The rate during which velocity change is called acceleration. Acceleration usually indicates a change in speed, but not often. An object that pursues a circular route while keeping a constant speed is still moving forward because the vector of its motion is altering.

Given -

Mass m = 500kg

Initial velocity ,u = 0

Final velocity ,v = 30 m/s

Time , t = 6s

So, acceleration , a =?

By using first equation of motion = v= u+at

= 30 = 0+ a ×6

=30 = 0+6a

=6a = 30 = a = 30/6 = a = 5m/s^2

So, distance travelled = s= ?

By using second equation of motion = s = ut+ 1/2 at^2

= s = 0× 6+1/2×5×6×6

s = 0+90

s= 90 m

so the answer is = 90m

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A 57g tennis ball is served at 45m/s If the ball started from rest, the impulse was applied to the ball by the racket is 2.565 Kgm/s.

A change in momentum is brought about by an impulse, which is a specific amount of force applied for a specific period of time. For this reason, it is F× t. For instance, when you hit a ball with a cricket bat, you exert force for a brief moment (in this case, a very short moment) to change (or transfer) the momentum of the ball.

Given information,

m = 57g = 0.057kg,

velocity = 45m/s

impulse = mass( change in velocity)

impulse = 0.057×(45-0)

impulse = 2.565 Kgm/s.

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(a) The line density of the given grating is calculated to be 4831 lines / cm.

(b) There are two additional pares of bright spots beyond the first bright spot. θ₂ = 37.7° and θ₃ = 66.5°

(a) Given that,

λ = 632.8 nm = 632.8 × 10⁻⁹ m

θ₁ = ± 17.8

We know that the brilliant fringes' angle is determined by,

sin θ = mλ/d

For first bright fringe, m = ± 1

sin θ₁ = λ/d  ----(1)

Line density of this grating is given by, N = 1/d ----(2)

Making d as subject in (1), we have,

d = λ/ sin θ₁ ----(3)

Putting (3) in (2), we have,

N = sin θ₁/ λ = sin 17.8/(632.8 × 10⁻⁹) = 4.831 × 10⁵ line/m = (4.831 × 10⁵ lines/ 1m) × (1 m/100 cm) = 4831 lines / cm

(b) We know, d sin θ = m λ

So, d = m λ/sin θ = (632.8 × 10⁻⁹/sin 17.8) = 2067.4 × 10⁻⁹ m

Line density = 10⁻² / (2067.4 × 10⁻⁹) = 4830 lines/cm

To get additional bright spots, we take the condition sin θm < 1 which gives,

sin θ₂ = 2 sin θ₁ = 2× 0.3056 = 0.62

θ₂ = 37.7°

sin θ₃ = 3 sin θ₁ = 3 × 0.31 = 0.93

θ₃ = 66.5°

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You will be drawn toward the sun at midday, but the world will also be drawn in that direction. You will be lifted off your feet at midnight, but the moon also lifts you.

The gravitational attraction causes any two grain particles to be drawn toward one another. It mentions the gravitational pull. The force will constantly be generated along the line joining the two loads in the direction towards the other mass, as indicated by the formula F=Gm1m2r2.

Anything with mass is subject to gravity. Higher mass objects are subject to stronger gravity. Gravity lessens as distance increases as well. Because of this, objects are more attracted to one another when they are closer to one another.

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The blood that is leaving at B has a lower concentration of carbon dioxide.

We know that the blood can be shown to be a very important part of the circulatory system of the body of the individual. We know that the circulatory system is in charge of the movement of the blood and the lymph in the body.

Let us also recall that there is a very important interplay between the circulatory system and the respiratory system because in the both systems, there is the exchange of materials as we can see in the image.

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Answer:

Hope this helps :)

Explanation:

Look at the attached image

Forces on object must be concurrent. Object must not deform under the forces. Object must not change shape. Object must not be large. Object must not rotate.

Force is a physical quantity that represents the interaction between two objects. Force can cause an object to accelerate or change its velocity. It can also cause a change in an object's shape or orientation. There are several types of force, such as gravitational force, electromagnetic force, and nuclear force.

An object can be treated as a particle under the following conditions:

Forces on object must be concurrent. Object must not deform under the forces. Object must not change shape. Object must not be large. Object must not rotate.

It's important to note that the concept of treating an object as a particle is a simplifying assumption used in some branches of physics, such as mechanics, and is only valid under certain conditions.

When an object is treated as a particle, it is assumed to have no internal structure, and that all forces acting on it act at a single point. The object is also assumed to be small enough that its deformation or shape change under forces can be ignored. Additionally, it is also assumed that the object does not rotate.

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Answer:

Explanation:

The amount of time it would take for a conveyor belt to do 40 J of work using a 15 W motor can be calculated by dividing the amount of work (40 J) by the power (15 W). This gives us a time of 2.67 seconds. Rounded to one decimal, this would be 2.7 seconds.

The strength lens to be prescribed to correct this vision problem is 2.61 diopters.

Near point = 72cm

Normal point = 25cm

Using the lens formula -

1/f = 1/u + 1/v

where

f is the focal length

v is the image distance

u is the object distance

Substituting the values in the formula -

1/f = 1/25 + 1/(-72)

1/f = 0.0261

f = 1/0.0261

Therefore,

f = 38.31

f = 0.383m

Now, since the dioptric power is inverse of the focal length strength;

Therefore,

D = 1/f

= 1/ 0.383

= 2.61

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(a.i) The value of the acceleration due to gravity on Earth are  9.73 m/s² and 9.8 m/s².

(b.i) The value of average acceleration due to gravity on Earth is 9.77 m/s².

(a.ii) The value of the acceleration due to gravity on Moon are  1.67 m/s² and 1.79 m/s².

(b.ii) The value of average acceleration due to gravity on Moon is 1.73 m/s².

(a.iii) The value of the acceleration due to gravity on Mars are 3.75 m/s² and 3.73 m/s².

(b.iii) The value of average acceleration due to gravity on Mars is 3.74 m/s².

The value of the acceleration due to gravity is calculated as follows;

h = vt + ¹/₂gt²

where;

g = ( 2h ) / t²

The value of acceleration due to gravity for Earth is calculated as;

when; h = 2.25 m, and t = 0.68 s

g = ( 2 x 2.25 ) / ( 0.68² )

g = 9.73 m/s²

when; h = 3.08 m, and t = 0.793s

g = ( 2 x 3.08 ) / ( 0.793² )

g = 9.8 m/s²

Average acceleration due to gravity = ( 9.73 + 9.8 ) / 2 = 9.77 m/s²

The value of acceleration due to gravity for Moon is calculated as;

when; h = 4.04 m, and t = 2.2 s

g = ( 2 x 4.04 ) / ( 2.2² )

g = 1.67 m/s²

when; h = 4.57 m, and t = 2.26 s

g = ( 2 x 4.57 ) / ( 2.26² )

g = 1.79 m/s²

Average acceleration due to gravity = ( 1.67 + 1.79 ) / 2 = 1.73 m/s²

The value of acceleration due to gravity for Mars is calculated as;

when; h = 4.68 m, and t = 1.58 s

g = ( 2 x 4.68 ) / ( 1.58² )

g = 3.75 m/s²

when; h = 3.55 m, and t = 1.38 s

g = ( 2 x 3.55 ) / ( 1.38² )

g = 3.73  m/s²

Average acceleration due to gravity = ( 3.75 + 3.73 ) / 2 = 3.74 m/s²

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The multiplicative factor rk for the initial kinetic energy is 2, as the kinetic energy doubles when the mass doubles.

Kinetic energy is the energy possessed by an object due to its motion. It is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is measured in joules (J). Kinetic energy is one of the most important forms of energy, as it is involved in many physical and chemical processes. Kinetic energy is also related to velocity, and can be calculated using the formula KE = ½ mv2, where m is the mass of the object and v is its velocity.

The multiplicative factor rw for the work done by the force is 1, as the work done by the force does not change when the mass of the particle changes.

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The relationship between the height of a ramp and the time it takes to complete one skate cycle (i.e. the time it takes to go from the top of the ramp to the bottom) is that as the height of the ramp increases, the time it takes to complete one cycle also increases.

This relationship is based on the principle of conservation of energy, which states that the total energy in a closed system remains constant. In the case of a skater on a ramp, the initial potential energy at the top of the ramp converts to kinetic energy as the skater descends and then back to potential energy as the skater reaches the bottom of the ramp. Since the initial potential energy is directly proportional to the height of the ramp, and the final potential energy must be equal to the initial potential energy, the time it takes to complete one cycle will also be directly proportional to the height of the ramp.

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The principle that describes the uniform nature of pressure throughout a fluid is Pascal's Principle.

What does Pascal's principle state?

Pascal's principle states that when a pressure is applied to a confined fluid, the pressure is transmitted undiminished and equally in all directions throughout the fluid. This means that if an external force is applied to a confined fluid (like a gas or liquid), this force will be evenly distributed throughout the entire container, no matter where it is applied. For example, if you were to press down on a piston in a cylinder filled with oil, the same pressure would be felt on the other side of the cylinder as well.

This principle states that "pressure applied at any point in a confined incompressible fluid is transmitted undiminished to every part of the fluid and to the walls of the containing vessel." This explains why pressure is constant throughout a fluid since any applied pressure is distributed evenly to every portion of the fluid.

Therefore, Pascal's Principle is the correct answer.

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The direction of the airplane when it encounters the wind is approximately northeast. determine the direction of the airplane when it encounters the wind.

What is airplane ?

An airplane is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine or propeller. Airplanes come in a variety of sizes, shapes, and wing configurations. The airplane is one of the most important forms of transportation, allowing for rapid and efficient travel across distances both near and far.

Airplanes are used for commercial air travel, military operations, private aviation, cargo transport, and leisure activities. To fly an airplane, a pilot must be knowledgeable in aviation regulations, safety protocols, and aircraft mechanics. With advances in technology, airplanes have become increasingly sophisticated, providing a safe and comfortable way to travel.

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The kinetic energy of the electron orbits a lithium nucleus that contains three protons ( 3e) whose radius of the orbit is 1.76x10-11 m is 123eV.

Given the lithium nucleus contains 3 protons also 3 electrons

The radius of orbit (r) = 1.76x10-11 m

We know the resultant force acting on the nucleus is F.

F = k x q(nu) x q(e)/r^2 = k x (3e) x(e) /r^2 = 3ke^2/r^2

This force is equal to centripetal force = mv^2/r where m is mass of electron, v is velocity

Then 3ke^2/r^2 = mv^2/r

3ke^2/r = mv^2

The kinetic energy is taken as (KE) = 1/2mv^2 = 3ke^2/2r

Here k = 8.99 x 10^9 Nm^2/C^2 and the charge on electron

(e) = 1.6 x 10^-19C

Then KE = 3 x 8.99 x 10^9 x ( 1.6 x 10^-19)^2 / 2 x 1.76x10-11

KE = 1.96 x 10^-17J = 122.6eV

Hence the required kinetic energy of the electron is 123eV.

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Answer:

They move and collide faster.

Explanation:

This is because increasing the temperature increases the kinetic energy of the gas particles. As a result they move rapidly having more more frequent collisions.

Answer:

When the temperature of the container increases, the kinetic energy of the gas molecule becomes high.

Explanation:

This means the collision rate of the particles increases. Due to the collision of gas particles, the pressure increases across the wall of the container.

Centripetal force is the force that prevents an object from travelling in a straight line while it is moving due to its speed in a particular direction, or its velocity.

While an object moves because of its speed in a certain direction, or its velocity, centripetal force is the force that keeps the object moving in a circular motion. By pushing an object in the direction of the circle's centre, it achieves this.

The friction between the tyres and the road causes the centripetal force that makes the car turn in a circular motion. The car will move in a larger-radius curve and exit the road if the coefficient of friction is not at a minimum.

The rotating motion known as circular motion involves a rigid body moving in a plane while maintaining a constant distance between its centre of mass and its axis of rotation.

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False. There does not have to be equal amounts of mass on both sides of the center of mass of an object.

Mass is a fundamental physical property of an object or system that measures its resistance to being accelerated by a force. Mass is measured in kilograms, grams, or pounds. It is also a measure of the amount of matter present in an object or system. Mass is related to the inertia of an object; the greater the mass, the greater the inertia. In physics, mass is also used to describe the amount of energy stored in an object due to its motion.

This is because the center of mass is determined by the balanced distribution of mass across the object. If a point mass is located far away from the center of mass, the gravitational pull of that mass does not need to be countered by an equal amount of mass on the opposite side of the center of mass for the object to be balanced. Instead, the influence of the point mass on the center of mass is much smaller than the influence of the mass close to the center of mass.

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"An astronomer observes the light of a galaxy that is 600 million light-years away. The age of light is 18.92 × 10¹⁵ s."

Given that,

Distance to the galaxy = 600 million light years = 600× 10⁶ light years = 6×10⁸ light years

We know the speed of light as, c = 3 × 10⁸ m/s

The relation between distance, speed and time is known to be,

Distance = Speed × Time

So, to know the age of time, let us make time as subject,

Time = Distance/Speed

1 light year = 9.46 × 10¹⁵ m

Putting in the above values,

Time = (6×10⁸ × 9.46 × 10¹⁵)/(3 × 10⁸) = 18.92 × 10¹⁵ s

Thus, the age of light is 18.92 × 10¹⁵ s.

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v = 22.492 k ms-1 is the escape speed of an electron that is initially at rest on the surface of a sphere.

The bare minimum speed required to reach infinity and escape the gravitational pull of a massive body is known as escape velocity. The orbital velocity of a body around which a small object revolves is referred to as orbital velocity. The link between orbital velocity and escape velocity is proportional.

The minimal speed necessary for an object to disengage from the gravitational pull of a large object is known as escape speed, often referred to as escape velocity. For instance, if we think of the earth as a large body.

1/2mv²= kqQ/r

        v= √2kqQ/rm

        v= √2×(9×10⁹)×(1.6×10⁻¹⁹)×(1.6×10⁻¹⁵)/(0.01)×(9.109×10⁻³¹)

        v = 22492 ms^-1

        v = 22.492 k ms^-1

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The acceleration of the ball when it reaches its maximum height is approximately 9.8 m/s2.

Acceleration is the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be caused by forces, such as gravity, friction, or thrust. It is a measure of how quickly an object is speeding up, slowing down, or changing direction. Acceleration can be positive, negative, or zero. Positive acceleration means an object is speeding up, while negative acceleration means an object is slowing down. Zero acceleration means an object is going at a constant speed in a straight line.

The acceleration of a ball thrown vertically upward when it reaches its maximum height is approximately equal to the acceleration due to gravity, or 9.8 m/s2. This is because the ball is no longer being propelled upwards and is instead falling back down to the ground. Thus, the acceleration of the ball when it reaches its maximum height is approximately 9.8 m/s2.

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The equation allows you to calculate acceleration using the force and mass is F=m. Where m is mass and a is acceleration.

According to Newton's second rule of motion, a body's rate of momentum change is directly proportional to the force being applied to it, and momentum change occurs in the direction the force is being applied.

Acceleration is the rate at which velocity changes over time in both speed and direction. Acceleration refers to the change in speed or direction of an item or point travelling straight forward. Due to the constantly changing direction of motion around a circle, motion even at constant speed accelerates.

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Your first response to reduced visibility should be reducing your speed.

The term "visibility" refers to how far or well you are seeing in a certain meteorological scenario. Poor visibility prevailed. 2. a noncount noun When something is said to be visible, such as a situation or an issue, it refers to how much it is observed or observed by other people.

Visibility can indicate both "how well you can see" and "how well others will see something." Your running leggings' reflective stripes make you visible in the dark as they make you more visible to others.

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This is the description of a force vector diagram or force vector. This type of diagram is used in physics and engineering to represent the forces acting on an object and the direction in which they are acting.

They are commonly used in dynamics, mechanics, and physics to analyse the motion of objects and the forces that cause them to move.

A force vector diagram is a visual representation of the forces acting on an object in a given situation. It shows the direction and magnitude of each force and how they interact with one another.

These diagrams are commonly used in physics and engineering, particularly in the study of dynamics and mechanics. They help analysts understand the motion of an object and the forces causing that motion, making it easier to predict how the object will behave under different conditions.

Force vector diagrams are essential tools for understanding the physics behind the motion of objects and for designing structures and machines that can withstand various forces.

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The complete question is-

Which diagram is used to show the relative magnitude and direction of all forces acting upon an object in a given situation?

Answer:

t=5 seconds

Explanation:

To solve, use kinematic equation #1, [tex]v_f=v_i+at[/tex], rewritten to solve for t:

[tex]t=\frac{v_f-v_i}{a}[/tex].  For this problem, let

[tex]v_f=20\frac{m}{s}\\v_i=0.0\frac{m}{s}\\a=4.0\frac{m}{s^2}[/tex]

So,

[tex]t=\frac{20.0\frac{m}{s}-0.0\frac{m}{s}}{4.0\frac{m}{s^2}}\\t=\frac{20.0\frac{m}{s}}{4.0\frac{m}{s^2}}\\t=5s[/tex]

Light is a type of electromagnetic radiation with a wavelength that the human eye can perceive. Kinetic energy is what it is. There needs to be a conversion during this process.

Is light energy kinetic or potential?

Kinetic energy must be transformed into the following forms of energy: (1) light energy, (2) nuclear energy, (3) gravitational potential energy, and (4) internal energy.

Can you describe nuclear energy as potential energy?

Kinetic and potential energy can take on a variety of shapes. The energy of gravity is one of them, along with mechanical, chemical, heat, electrical, optical, and nuclear energy.

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The heat transfer is required to raise the temperature of a - aluminum pot containing of water from to the boiling point is 5.896 x 10^5 cal.

Heat transfer is specified as "the transmission of heat over the boundary of the system due to a difference in temperature between the system and its surroundings" by thermodynamic systems.

m1 = 0.75kg

m2 = 2.5kg

T1 = 30.6 °C

Tv = 100°C

m = 0.75

The heat required = Q = (m1cp1 + m2cp2) (Tv-T1);

                   => (750 x 0.214 cal/g.K + 2500 x 1 cal/g.K) (100-30.6)

                  => 1.846 x 10^5cal.

Qv = λv m = 540cal/g.K x 750g =>4.05 x 10^5cal.

Qt = Q + Qv = 1.846 x 10^5cal + 4.05 x 10^5cal

               => 5.896 x 10^5 cal

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(a) How much heat transfer is required to raise the temperature of a 0.750-kg aluminum pot containing 2.50 kg of water from 30.6∘C to the boiling point and then boil away 0.750 kg of water?

Answer:

5 sec

Explanation:

[tex]99 \div 21.8 [/tex]

The frequency of the green light is approximately 5.45×10¹⁴ Hz, for wavelength 550nm.

Frequency is the dimension of the number of times that a repeated event occurs per unit of time.

The frequency of wave-like patterns including sound, electromagnetic waves (similar as radio or light), electrical signals, or other swells, expresses the number of cycles of the repetitious waveform per second.

In SI unit is 1 Hz means one cycle (or wave) per second.

The frequency of a wave can be calculated by using the equation:

frequency (f) = velocity (v) / wavelength (λ)

In the case of green light, the velocity is given as 299,792,458 m/s and the wavelength is given as 550 nm (0.00000055 meters). upon placing the values in the equation,

f = 299,792,458 m/s / 0.00000055 m

To get the frequency of the green light in hertz (Hz), which is the unit of frequency in the International System of Units (SI).

f = 5.454545454545454545454545454545e+14 Hz

So, the frequency of the green light will be approximately 5.45×10¹⁴ Hz.

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The resistivity of all the wires is same. So, the wires cannot be ranked it will be same.

Explain about resistance?

Resistance is a measure of a material's opposition to the flow of electric current. It is measured in ohms and is denoted by the symbol Ω. Resistance is caused by the collisions between the electrons flowing through a circuit and the atoms of the material they are passing through. The greater the resistance, the more energy is dissipated as heat and the slower the electrons move. Resistance also affects the voltage and current in a circuit. Higher resistance results in a lower voltage and current, while lower resistance results in a higher voltage and current.

The resistivity of a wire is determined by the material from which it is made, as well as the temperature of the material. It is not affected by the length or area of the wire. This means that regardless of the length or area of the wire, the same material will have the same resistivity. For example, a copper wire of any length or area will have the same resistivity as any other copper wire, regardless of its length or area.

Hence, the wires cannot be ranked from largest to smallest as it is in same order.

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