Explanation:
m1u1+m2u2=m1v1+m2v2
(3000×15)+(2200×-10)=(3000×v)+(2200×v)
45000-22000=5200v
23000=5200v
v=230/52
v=4.423m/s to the east.
What is the condition for two vectors 2i 3j 4k and parallel?.
Due to the parallel nature of the vectors 2i+3j-4k and 3i -aj +bk, a = -9/2 and b = respectively -6.
The type of tensor is a two-vector or bivector. also being the dual of a two-form, it is a linear functional that converts two-forms into real numbers. A two-vector is the result of a pair of vectors' tensor product. As a result, any two vectors can only be said to be collinear if they are either on the same line or parallel to one another in either the same or the opposite direction.
The vectors 2i+3j-4k and 3i-aj+bk are parallel.
2/3 = 3/-a = -4/b.
or. -2a = 9 => a =-9/2
And 2b = -12 => b= -12/2. = -6.
a = -9/2. , b= -6.
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Correct Question:
What is the condition for the vectors 2i+3j -4k and 3i -aj +bk to be parallel?
Which of the following systems
is a good example of potential
energy being transformed into
kinetic energy and back again?
The movement of a pendulum is a good example of potential energy being transformed into kinetic energy and back again.
Kinetic Energy: The energy of a body due to its motion is called kinetic energy.
Potential Energy: Potential energy is the energy that is stored in an object due to its position relative to some zero position. Electrostatic energy, Gravitational energy, etc. are some examples of potential energy.
When the pendulum is at its extremes, all the energy of the pendulum is converted into potential energy. And when it is at the center it has only kinetic energy. At other positions, the total energy is the sum of potential and kinetic. But the total energy of the pendulum is always conserved.
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The correct question is-
Give an example of a system where potential energy is transformed into kinetic energy and back again. Explain.
L 2.2.2 Quiz: Heat Flow
Question 6 of 10
A double-paned window has two glass panes separated by a layer of air. Why
is air, rather than glass, used to fill this space?
A. The radiation of heat is increased by the air.
O
B. The convection of heat is increased by the air.
C. The convection of heat is slowed by the air.
D. The conduction of heat is slowed by the air.
D. The conduction of heat is slowed by the air.
A double-paned window is designed to reduce the amount of heat that is conducted through the window. Air is a poor conductor of heat, meaning that it does not transfer heat as easily as glass. By using a layer of air between the two panes of glass, the window is able to slow the conduction of heat, making it more energy efficient. This helps to keep the inside of the building warmer in the winter and cooler in the summer, which can help to reduce energy costs.
Question 4 of 10
Which of the following changes occurs naturally in a system over time?
A. Becoming more organized
B. Becoming more efficient
C. Increasing in energy
OD. Increasing in randomness
Answer: D. Increasing in randomness.
Explanation: The concept related to this change is entropy. Entropy is a measure of the randomness or disorder in a system. According to the second law of thermodynamics, the entropy of an isolated system tends to increase over time. This means that natural processes often lead to an increase in randomness or disorder.
For example, imagine a container of gas molecules. Initially, the molecules may be confined to one side of the container, creating a region of higher concentration. However, over time, the gas molecules will naturally spread out and become more evenly distributed throughout the container. This increase in randomness or disorder corresponds to an increase in entropy.
What is the kinetic energy of a 10 kg object moving at 2. 0 ms?.
The object has a kinetic energy of 20 J.
The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
The formula below can be used to determine the kinetic energy of a moving body: K.E = ½ × m × v²
kinetic energy (K.E) (J)
m = mass (kg) and v = speed (m/s).
The answer to this question is that the item has a mass of 10 kg and a velocity of 2.0 m/s.
K.E = ½ × 10 × 2²
K.E = 20J
A 10 kilogram object travelling at a speed of 2.0 m/s has a kinetic energy of 20 J.
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how many wavelengths thick is a 1/2 mm thumbnail
how many wavelengths thick is 100 micrometer thick hair
The amount of wavelength of light thick is the thumbnail x/y.
Given:
Wavelength of light= x
Thickness of thumbnail= y
The amount of wavelength thick the thumbnail is x/y
What is wavelength?
Wavelength is the distance between identical points (adjacent peaks) in adjacent cycles of a waveform signal propagated in space or along a wire. In wireless systems, this length is usually given in meters (m), centimeters (cm), or millimeters (mm).To know more about wavelength, click the link given below:
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What are the 3 equations of a linear function?.
y = mx + b are the system of linear equations formulas (slope-intercept form) yy1=m(xx1) y y 1 = m (x x 1). (point-slope form) Ax + By = C (standard form)
Ax+By=C is the typical form for linear equations that contain two variables. 2x+3y=5, for example, seems to be a simple linear equation. It is relatively simple to find both intercepts when an equation is stated in this way (x and y).
There are only single or multiple two variables in such a linear equation. In a linear equation, no variable either raised to a power larger than one or utilized as the denominator of something like a fraction. Whenever you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points fall on the same line.
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What is the angle between 2i and 3j?.
The angle between 2i and 3j with y axis is 0.688.
The shortest angle at which we must rotate one of the vectors to the position of being co-directional with another vector is defined as the angle formed by a single point between two vectors. The angle between the tails of two vectors defines the distance between them. Either the cross product or the dot product (scalar product) can be used to find it (vector product).
The angle between two vectors always ranges from 0° to 180°, as you should be aware of. The angle formed by two lines with the x-axis as one of them and ax + by + c = 0 as the other is equal to = Tan^(-1)(-a/b). the angle formed by two lines, one of which is defined as y = mx + c.
A= 2i+3j
B=j
A.B= |A||B| cos theta
=[tex]\sqrt{19}[/tex]Cos Θ=2*0+3*1
Cos Θ =[tex]3/\sqrt(19)[/tex]
= 3/4.3589
=0.688
Θ = 0.688
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Correct Question:
What is the angle between the vector A=2i+3j and y-axis?
How will the electrostatic force between two electric charges change if the first charge is doubled and the second charge is only one third of the original charge?.
The electrostatic force between the two electric charges will be reduced if the first charge is doubled and the second charge is only one third of the original charge.
What is electrostatic force?
Electrostatic force is a force of attraction or repulsion that exists between electrically charged particles. It is one of the fundamental forces of nature and is the result of a fundamental property of matter known as electric charge. Unlike gravity, electrostatic force can either attract or repel particles, depending on whether they have the same or opposite charges. The strength of the force is determined by the magnitude of the charges and the distance between them.
The electrostatic force between the two electric charges will be reduced if the first charge is doubled and the second charge is only one third of the original charge. This is because the electrostatic force is directly proportional to the product of the two charges, so if one charge is increased while the other is decreased, the overall electrostatic force will be reduced.
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How many of order of magnitude are between a grain of and (~5 x 10-4 m) and the height of Mount Everet (~8. 8 x103 m)?
Answer: Order of magnitude is 4.
What is Magnitude?
-- In physics, magnitude is defined simply as “distance or quantity.”
-- It depicts the absolute or relative direction or size in which an object moves in the sense of motion.
-- It is used to express the size or scope of something.
-- In physics, magnitude generally refers to distance or quantity.
What is relative velocity?
-- The relative velocity is defined as the velocity of an object with respect to another observer.
-- It is the time rate of change of relative position of one object with respect to another object.
What is Height ?
-- the measurement from the bottom to the top of a person or thing
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Insulators are different than conductors in that insulators ____.
a. do not contain electrons or protons b. do not contain any charge
c. have a weaker affinity for electrons d. do not allow charge to freely move
The correct option is: (d) do not allow charge to freely move.
Insulators are materials that hinder the free flow of electrons from one particle of the element to another. If we transfer some amount of charge to such an element at any point, the charge remains at the initial location and does not get distributed across the surface. The most common process of charging of such elements is charging by rubbing (for some elements, with the help of suitable materials).Conductors have a property called conductivity which defines their ability to conduct electricity. For insulators, their effectiveness is determined based on how much resistance they offer to the flow of electricity. This property, in contrast to conductivity, is called resistivity.Insulators are mainly used in applications where the prevention of the flow of electric charges is required. These materials work as effective non-conductors since they lack movable electric charges required to propagate electric current. Electrical insulators are used mainly as parts of electrical equipment. For example, the electrical wires which transfer electricity through households, are covered with insulation material to prevent any safety hazards.To know more about insulators visit:
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A 2000 W immersion heater is used to heat 2 kg of water for 5 minutes. Calculate the final temperature of the water if its initial temperature was 23°C. What assumption have you made in your calculation? Specific heat capacity of water is 4200 J/(kg °C).
The final temperature of the water is 25.38°C when a 2000 W immersion heater is used to heat 2 kg of water for 5 minutes.
How to calculate final temperature?
The amount of heat energy added to the water can be calculated using the formula: Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
The heat energy added to the water is: 2000 W * 5 minutes = 10,000 J
So the change in temperature can be calculated as: Q = mcΔT = (2 kg) * (4200 J/kg°C) * ΔT = 8400 * ΔT
ΔT = Q / mc = 10,000 J / (2 kg * 4200 J/kg°C) = 2.38°C
Therefore, the final temperature of the water is: 23°C + 2.38°C = 25.38°C
Assumptions:
The water is isolated and no heat is lost to the surroundings.The specific heat capacity of water is constant.The immersion heater is 100% efficient, meaning no energy is lost as heat to the surrounding.To learn more about heat energy, visit: https://brainly.com/question/934320
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A particle is moving with a constant speed in a corkscrew tunnel (i.e., it is moving in a circle as it moves forward). When it exits the tunnel, what path will it follow?
When a particle is moving with a constant speed in a corkscrew tunnel, it is traveling in a circular path as it moves forward. The path followed by the particle is a combination of two motions: linear motion (forward) and circular motion (around the circle).
When the particle exits the tunnel, it will continue to follow the combined path it was on before, which is the path of a helix. The helix is a three-dimensional curve that is the result of combining circular and linear motions, that is, the particle will move forward in a straight line, but also continue to move in a circular path around that line. The shape of the helix is similar to a spiral staircase, as the particle moves forward, it also spirals around the center axis of the tunnel.
In summary, when the particle exits the corkscrew tunnel, it will continue to follow the path of a helix, which is the combination of linear and circular motion.
What is the formula of 3rd law?.
What can auto salvage dealers use electromagnets for?
Electromagnets can be usefully employed by auto salvage to move scrap metal from one place to another place. Whenever the current is switched off the magnet loses its magnetism and the car falls back to the ground.
An electromagnet is a made coil that is associated with a ferromagnetic core. Whenever an electric current flows through the wire of the solenoid, it generates magnetic field similar to that of a magnet. Whenever the electromagnet is a solenoid which is wounded around a central iron core. The main advantage of an electromagnet over a permanent magnet is that we can quickly change the magnetic field by controlling the amount of electric current in the winding. The magnetic field which is created by an electromagnet is proportional to both the number of turns in the winding and the current in the wire.
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PLEASE HELP ME
How do you think the north equatorial and south equatorial currents got their names?
What is the rate of change rule?.
The rate of change function is defined as the rate at which one quantity changes in relation to another.
Simply said, the rate of change divides the amount of change in one item by the equivalent amount of change in another.
What is the yearly rate of change formula?Annual growth rates are computed by averaging revenue over a particular period.
The yearly growth rate formula divides an investment's or asset's final value by its starting value.
When you remove one from this amount, you get a decimal point, which may be converted to a percentage.
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A sailboat and its crew have a mass of 655kg. If the force on the boat is 895N, what is its acceleration?
To calculate the acceleration of the sailboat, we need to use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = ma).
Given that the force on the boat is 895N and the mass of the boat and crew is 655kg, we can rearrange the equation as follows:
a = F / m
where a = acceleration, F = force, and m = mass.
Plugging in the known values, we get:
a = 895N / 655kg
So, the acceleration of the sailboat is approximately 1.37 m/s².
It's important to note that this is only an approximation of the acceleration as the force acting on the sailboat may be subject to change due to wind, water currents, etc. This equation does not take into account the resistance of the water, which is also a force that will act on the boat and will affect its acceleration.
The acceleration of the sailboat is 1.37 m/s² if its crew has a mass of 655kg and the force on the boat is 895N.
According to Newton's Second Law of Motion, acceleration (gaining speed) happens when a force acts on a mass (object). Force is a product of mass and acceleration. An object with a mass changes its velocity in response to a push or pull.
Force is an external agent that has the power to alter the resting or moving state of a body. The measurement of a change in an object's velocity is called acceleration.
The acceleration of the sailboat can be calculated using the formula: acceleration = force /mass
In this case, the force is 895 N and the mass is 655 kg, so the acceleration would be:
Acceleration = 895 N / 655 kg = 1.37 m/s²
Hence we can say the acceleration is 1.37 m/s² if its crew has a mass of 655kg and the force on the boat is 895N.
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I genuinely need help with this:
Puck B has six times the mass of puck A. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension.
Part A. Compare the final kinetic energies of pucks A and B
Part B. Compare the final speeds of pucks A and B
(a) The final kinetic energies of pucks A and B is compared as KA = 6KB. (option F)
(b) The final speeds of pucks A and B is compared as vA = 6vB. (option C)
What is the final velocity of the two pucks?The final velocity of the two pucks is calculated by applying the principle of conservation of linear momentum as shown below;
mAuA + mBuB = mAvA + mBvB
where;
mA is mass of puck AmB is mass of puck BuA is the initial velocity of puck AuB is the initial velocity of puck BvA is the final velocity of puck AvB is the final velocity of puck BSince both pucks started from rest, their initial velocity = 0
The final speed of puck A and puck B is calculated as;
0 = mAvA + mBvB
mass of puck B = 6mA
0 = mAvA + 6mAvB
mAvA = - 6mAvB
vA = -6vB
|vA| = 6vB
vB = vA/6
The final kinetic energy of puck A is calculated as;
KA = ¹/₂mA(vA)²
The final kinetic energy of puck B is calculated as;
KB = ¹/₂mB(vB)²
KB = ¹/₂(6mA)(vA/6)²
KB = (6/36) [ ¹/₂mA(vA)² ]
KB = 1/6 [¹/₂mA(vA)² ]
KB = 1/6 KA
KA = 6 KB
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What gives both magnitude and direction?.
A quantity that possesses both magnitude and direction is referred to be a vector.
A quantity or phenomena is said to be a vector if it possesses two independent qualities, namely magnitude and direction. This quantity can also be denoted by its mathematical or geometrical representation, which is likewise denoted by the term. The concepts of velocity, momentum, force, electromagnetic fields, and weight are all examples of vectors that can be found in nature. In this particular scenario, each and every vector can be recast as a negative quantity. When followed by a negative sign, this suggests going in the other direction.
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Within a certain type of tar called a neutron tar. The material at the center ha a ma denity of 1 × 10^18 kg/m^3. If a mall phere of thi material of radiu 1 ×10^-5 m were omehow tranported to the urface of the earth. What would be the weight of thi phere
The weight of the sphere would be 4.12 x 10^-6 N.
To calculate the weight of the sphere, we need to find the mass of the sphere first, using the equation:
mass = density * volume
The volume of a sphere can be calculated using the formula:
V = 4/3 * pi * r^3
where r is the radius of the sphere.
So,
mass = density * 4/3 * pi * r^3
mass = 1 x 10^18 kg/m^3 * 4/3 * pi * (1 x 10^-5 m)^3
mass = 4.19 x 10^-7 kg
Then we can use the weight formula which is :
Weight = mass * g
Where g is the acceleration due to gravity, which is 9.8 m/s^2.
Weight = 4.19 x 10^-7 kg * 9.8 m/s^2
Weight = 4.12 x 10^-6 N
So the weight of the sphere would be 4.12 x 10^-6 N.
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Question
A certain type of tar is called a neutron star. The material at the center ha a ma density of 1 × 10^18 kg/m^3. If a mall sphere of this material of radius 1 ×10^-5 m were somehow transported to the surface of the earth. What would be the weight of this Sphere
A 1. 50×10^2 g piece of glass at a temperature of 70. 0°C is placed in a container with 1. 00×10^2 g of water initially at a temperature of 16. 0°C. What is the equilibrium temperature of the water
The equilibrium temperature of the water is approximately 42.7°C.
The final temperature of the system can be found using the equation of heat transfer:
Q = mcΔT
where Q is the heat transferred, m is the mass of the substance, c is its specific heat capacity, and ΔT is the change in temperature.
In this case, heat is transferred from the glass to the water. The heat transferred from the glass to the water is equal to the heat lost by the glass.
Therefore, we can set up two equations to represent the heat transfer:
Qglass = mglass cglass ΔTglass
Qwater = mwater cwater ΔTwater
where mglass and mwater are the masses of the glass and water, cglass and cwater are their specific heat capacities, and ΔTglass and ΔTwater are their respective temperature changes.
Setting Qglass = -Qwater and solving for ΔTwater gives us:
ΔTwater = Qglass / (mwater cwater) = -Qglass / (mwater cwater) = (mglass cglass ΔTglass) / (mwater cwater)
Plugging in the given values and converting the temperature units to kelvin:
ΔTwater = (50 g * 0.84 J/g°C * (70.0 + 273.15 K - (16.0 + 273.15 K)) / (100 g * 4.18 J/g°C)
This calculation gives us the change in the temperature of the water. To find the final equilibrium temperature, we add this change in temperature to the initial temperature of the water:
Tfinal = ΔTwater + Tinitial = ΔTwater + 16.0°C = [...calculated ΔTwater...] + 16.0°C
Tfinal = (50 g * 0.84 J/g°C * (70.0 + 273.15 K - (16.0 + 273.15 K)) / (100 g * 4.18 J/g°C) + 16.0°C
By solving this we'll get the final temperature to be approximately 42.7°C.
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Why is total momentum zero?.
Because momentum is a vector, a system's total momentum can be zero if there are multiple masses. A system of two objects with the same magnitude of momentum and moving directly toward one another, for example, will have a total momentum of zero.
What is momentum?The quantity of motion of the body is defined as momentum. It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion. Momentum is the amount of motion of a moving body, calculated as the product of its mass and velocity. Its formula is mass velocity.
Here,
Because momentum is a vector, the total momentum of a system can be zero if there are multiple masses. A system consisting of two objects with the same magnitude of momentum and moving in the same direction, for example, will have a total momentum of zero.
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What is the formula of linear and angular momentum?.
Linear momentum (p) is defined as the mass (m) of an item multiplied by its velocity (v): p = m*v. Angular momentum (L) is defined as the distance of an item from a rotation axis multiplied by linear momentum: L = r*p or L = mvr.
What are linear and angular momentum?Linear momentum is a characteristic of objects that change their location with respect to a reference point. Angular momentum is a property of objects that change the angle of their position vector with respect to a reference point.
rotational momentum is a characteristic that characterises the rotating inertia of an item or set of objects in motion along an axis that may or may not pass through.
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There are 2 charges (3 µC and 4 µC) located at (-4 cm, 0) and (4 cm, 0), respectively. A. Determine the magnitude and direction of the electric field at (8 cm, 0). B. Determine the magnitude and direction of the electric field at (0, 8 cm)
The magnitude and direction of the electric field at (0, 8 cm) is 7 µC downwards and towards the positive charge.
The electric field at (8 cm, 0) can be calculated using Coulomb’s law. This law states that the electric field is equal to the charge multiplied by the inverse of the square of the distance between the two charges.
This gives us a magnitude of E = (3 µC + 4 µC) / (8 cm)^2 = (7 µC) / (64 cm^2).
The direction of the electric field is from the negative charge to the positive charge.
The electric field at (0, 8 cm) can be calculated by using the same equation as for the electric field at (8 cm, 0). This gives us a magnitude of E = (3 µC + 4 µC) / (8 cm)^2 = (7 µC) / (64 cm^2).
However, the direction of the electric field at this point is different. At (0, 8 cm) the electric field has a vertical component and a horizontal component. The vertical component is downward, as this point is closer to the negative charge, and the horizontal component is towards the positive charge.
The magnitude and direction of the electric field at (0, 8 cm) is 7 µC downwards and towards the positive charge.
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If the total length of the climb on a fixed ladder equals or exceeds 24 feet, fixed ladders must be equipped with
Fall protection must be provided for employees who climb or work on fixed ladders greater than 24 feet.
About fixed laddersThis type of stair/ladder varies in construction depending on the design and application. The position of this ladder can only be installed by welding or connecting with bolts and nuts according to the conditions of the facility, so it is called a fixed ladder or a fixed ladder.
This ladder is typically used in facilities that require continuous monitoring
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Can latency be removed?.
Latency cannot be completely removed.
Latency it is the inherent delay caused by the physical distance that data has to travel and the time taken for the data to be processed by the various devices and networks it passes through. However, latency can be minimized.
There are several ways to minimize latency, such as:
Using faster network devices such as switches and routersUsing a Content Delivery Network (CDN)Optimizing the routing of data packetsUtilizing technologies such as edge computingReducing the number of hops that data packets have to takeUsing low-latency protocolsUsing hardware and software that are designed to minimize latency.It is worth noting that minimizing latency is not always possible or practical, depending on the distance between the sender and receiver, the number of devices and networks involved and the complexity of the data being transmitted.
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Suppose Labib is standing on the top of Burj Khalifa. If the ratio of the height of Burj khalifa and the radius of Earth is x. What is the ratio of Labib’s weight on the ground and on the top of Burj Khalifa?
1) x2
2) 1/(1 + x)2
3) 1 + x2
4) (1 + x)2
The ratio of Labib’s weight on the ground and on the top of Burj Khalifa is 4 [1 + x]²
What is weight?Weight is the gravitational force of attraction of the earth on an object.
What is the ratio of Labib’s weight on the ground and on the top of Burj Khalifa?Suppose Labib is standing on the top of Burj Khalifa. If the ratio of the height of Burj khalifa and the radius of Earth is x.
Let
h = height of Burj Khalifa and R = radius of earth.Now, the weight of Labib on the ground is the gravitational force of attraction of the earth on Labib when on the ground. It is given by
W = GMm/R² where
G = universal gravitational constant, M = mass of earth, m = mass of Labib and R = radius of earth.Also, Labib's weight at the top of Burj Khalifa is given by
W' = GMm/(R + h)² where
G = universal gravitational constant, M = mass of earth, m = mass of Labib R = radius of earth and h = height of Burj KhalifaSo, the ratio of Labib’s weight on the ground and on the top of Burj Khalifa is
W/W' = GMm/R² ÷ GMm/(R + h)²
= (R + h)²/R²
= [(R + h)/R]²
= [1 + h/R]²
= [1 + x]²
So, the ratio of the weight's is [1 + x]²
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What are 5 examples of Newton's third law?.
"According to Newton's third law, there is an equal and opposite reaction to every action." The examples of Newton's third law are upward thrust of the rocket, swimming, rowing a boat, walking, sitting on a chair, etc.
The force that the first object applies to the second during an interaction between two objects is referred to as the action. The force applied by the second body to the first body is known as the response force. Action and reaction are therefore opposite and of equal magnitude.
For instance, releasing a bullet. A bullet is propelled forward when it is fired from a gun by the force applied by the weapon. The bullet pushes the weapon rearward with an equivalent amount of force.
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If two identical conducting spheres are in contact, any excess charge will be evenly distributed between the two. Three identical metal spheres are labeled A, B, and C. Initially, A has charge q, B has charge -q/2, and C is uncharged.
Part A
What is the final charge on each sphere if C is touched to B, removed, and then touched to A?
Express your answers in terms of q. Enter your answers separated by commas.
Part B
Starting again from the initial conditions, what is the charge on each sphere if C is touched to A, removed, and then touched to B?
Express your answers in terms of q. Enter your answers separated by commas.
The three spheres' total charge will thus be A / (1/2). B: 0, C:0 A: 9, B:-1,C: 9\b. A: 1/2 B: 0, C:
What is the final charge on each sphere ?This indicates that the two spheres receive an equal distribution of the charge.
First off, we have:
Charge on sphere A
Sphere B: -q/2 charge
Sphere C: zero charge
Sphere B is initially contacted by sphere C. Since the two spheres' combined charge was.
When two conducting spheres come into contact, the charge is divided between them, making their potential equal.
V₁ = V2 8 = 8/2
where Q stands for the charge and C for the sphere's capacitance. The capacitance is the same for identical spheres, hence the preceding equation becomes Q1 = Q2.
Sphere B is initially contacted by sphere C. Given that the two spheres' combined charge was
- q/2 + 0 = - q/2
Each sphere will have a charge after contact that is half of this value:
q B = q C = (-q/2) * (1/2) = (-q/4)
Sphere A (charge of +q) is then touched by sphere C (charge of -q / 4). The total charge is therefore -q/4 + q = q*3/4.
Since the charge is evenly distributed, each sphere will get half of it:
Q A = Q C = Q_ = 1/2 * (3/4 * Q) = Q_ =
The three spheres' ultimate charge will thus be spherical was
q + 0 = q
Each sphere will have a charge after contact that is half of this value:
Q A = Q C = Q/2 = 1/2 * Q
Sphere B (charge of -q/2) is then touched by sphere C (charge of q/2). Thus, the total charge is equal to -q/2 + q/2/2.
. Thus, the total charge is equal to -q/2 + q/2/2 = 0.
Each sphere will get half of this charge since the charge is distributed equally, which translates to a charge of zero:
q {B} = q {C} = 0
The three spheres' total charge will thus be A / (1/2). B: 0, C:0 A: 9, B:-1,C: 9\b. A: 1/2 B: 0, C:
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