The motion of marble at its highest point is best described by the following statements: The stone has a downward acceleration of 9.8 m/s at its highest point.
How is velocity determined?You divide the amount by the time that it takes you travel this very same distance to calculate velocity, and then users add your directions to it. For instance, if you were traveling west and covered 50 miles in an hour, your speed would be 50 mph westward or 50 miles per hour.
What are some examples of velocity?Velocity can be defined as the rate that an object moves in a specific direction. like the pace of a car driving north on something like a highway or the pace of a rocket, for instance after launch, travels. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
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since a short-circuit condition resulting in fault current is of relatively low current magnitude compared to an overload current, removal of the fault current within seconds or minutes will generally prevent damage to the conductor or equipment. True or false?
False. Removing fault current within seconds or minutes may not be enough to prevent damage to the conductor or equipment.
What is meant by a short circuit?
A short circuit is an unintended connection between two points in a circuit that allows current to flow in an unintended path.This usually results in an excessive current draw, which can cause damage to components, overheating, and even fire.Short circuits can be caused by a variety of factors, such as wire insulation failure, faulty wiring, incorrect installation, accidental bridging of two wires, or corrosion.Short circuits can cause serious damage to electronic components and must be avoided.To protect against short circuits, fuses and breakers are used to protect the circuit from an excessive current draw.In addition, wiring should be checked and inspected periodically to ensure that it is in good condition and properly installed.To learn more about short-circuit refer to:
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determine the force in members be, ef, and cb, and state if the members are in tension or compression.
In this case, member be is in compression because force Fbe = -Fec - Fed is negative. Member ef is in tension because force Fef = -Fed - Fae is positive. Member cb is in compression because force Fcb = -Fae - Fec is negative.
What is equilibrium?Equilibrium is the condition of a system when neither its state of motion nor its internal energy state tends to change with the time.
For member be:
Fbe = Fce + Fde
Fbe = -Fec - Fed
And For member ef:
Fef = Fde + Fae
Fef = -Fed - Fae
For member cb:
Fcb = Fae + Fce
Fcb = -Fae - Fec
If the force is positive it is in tension, if it is negative it is in compression.
And, in this case, member be is in compression because force Fbe = -Fec - Fed is negative. Member ef is in tension because force Fef = -Fed - Fae is positive. Member cb is in compression because force Fcb = -Fae - Fec is negative.
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How do you get part (c)?
Part (a) Which statement best describes the numbers of protons and electrons in the penny when it is charged as indicated?
Electrons were added, and the number of electrons exceeds the
number of protons. ✔ Correct!
Part (b) How many electrons were transferred in order to create the charge on the penny?
Ne = 6.88 * 109
Ne = 6.880×109electrons ✔ Correct!
Part (c) By what percentage do the transferred electrons change the mass of the penny? (Express your result as a positive percentage for an increase, negative for a decrease.)
The percentage at which the transferred electrons change the mass of the penny is [- (n x 9.1 x 10⁻³¹)/m] x 100 .
What is charge?The deficiency or excess of electrons in an atom leads to the development of charge.
The total mass of coin after loosing electrons is calculated as follows;
= m - (n x 9.1 × 10⁻³¹ ) Kg
where;
m is the mass of the penny when no electron is lostn is the number of electronsThere will be decrease in the mass of the penny. So the amount of decrease in mass will be;
= final mass - initial mass
= m - (n x 9.1 × 10⁻³¹ ) - m
= - (n x 9.1 ×10⁻³¹ )
This negative sign indicates that the mass has decreased.
The percentage decrease in the amount of mass transferring the electrons is calculated as;
[- (n x 9.1 x 10⁻³¹)/m] x 100
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The pendulum in a grandfather clock has a period of 1.00 sec? If the clock's driving spring is allowed to run down, damping due to the friction will cause the pendulum to slow to an eventual stop. If the time constant for decay is 300 sec, how long will it take for the pendulum's swing to be reduced to half its initial amplitude?
It will take 207.9 sec for the pendulum's swing to be reduced to half its initial amplitude.
given:
T= time period initial = 1 sec
time constant = 300 sec
The pendulum's oscillation will eventually be stopped due to the air resistance offered by air . Oscillations will die down in a manner such that it makes an exponential curve.
We want the time at which the pendulum will stop due to friction
We know the formula for damping
[tex]A = A[/tex]' [tex]e^{-(\frac{t}{300} )}[/tex]
A= initial amplitude
A' = final amplitude = A/2
so 't' at
[tex]A = \frac{A}{2} \ 300[/tex] ㏑ (2 )
t= 207.94 sec
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A rotating platform with a radius of 2.0 m makes one complete turn every 3.0 s. The angular velocity of the platform is most nearly A 2.1 rad/s B 1.5 rad/s C 1.0 rad/s D 0.70 rad/s E 0.30 rad/s
The angular velocity of a rotating object is 2.1 rad/s. So option A is correct.
It is defined as the rate of change of its angular position, and it is measured in units of radians per second (rad/s).
The angular velocity of a rotating platform can be calculated using the formula: angular velocity = 2 * pi * (frequency of rotation)
Frequency of rotation = 1 / time for one complete rotation = 1 / 3 sec = 0.33 Hz
Therefore, the angular velocity of the platform is 2 * pi * 0.33 Hz = 2.09 rad/s
The answer is closest to A 2.1 rad/s
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PLEASE ANSWER FAST
Select the statement(s) that accurately illustrate examples of energy transfer by radiation.
Heat emitted from a candle
Ocean waves on the surface of the sea Microwaves from a microwave oven
Radio waves transmitted between towers Sound waves from a car radio
Heat emitted from a candle, Microwaves from a microwave oven, Radio waves transmitted between towers, Sound waves from a car radio.
Illustrate examples of energy transfer by radiation?The examples of energy transfer by radiation mentioned above are heat, microwaves, radio waves, and sound waves. Heat is the transfer of thermal energy from one object to another, usually through the process of convection, conduction, or radiation. Heat emitted from a candle is an example of energy transfer by radiation.Microwaves are electromagnetic waves that are used to heat food in a microwave oven. The microwaves are generated by an oscillating electric current and then radiated into the oven, where they are absorbed by the food. This energy is then converted into heat, which cooks the food. Radio waves are used to transmit information between towers, such as those used for cellular phone communication. The towers emit radio waves, which travel through the air, and the information they contain is then picked up by the towers on the other end. Sound waves are also a form of energy transfer by radiation. When a car radio is playing, sound waves are emitted from the radio, which then travel through the air to your ears. The process of energy transfer by radiation is called electromagnetic radiation. This is the process by which energy is transferred from one place to another in the form of electromagnetic waves. Examples of electromagnetic radiation include visible light, infrared radiation, ultraviolet radiation, x-rays, and gamma rays.To learn more about the examples of energy transfer by radiation refer to:
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for best results, if not tested immediately, a semen sample should remain at which of the following temperatures following collection?
For best results, if not tested immediately, a semen sample should remain at a temperature 37 ºC. Thus, option C is correct.
What is temperature?Temperature is a physical property of matter that quantitatively expresses the common notions of hot and cold. Temperature is measured with a thermometer, which may be calibrated to a variety of temperature scales, including Celsius, Fahrenheit, Kelvin, and Rankine. The most commonly used scales are Celsius (formerly called centigrade) and Fahrenheit.
In scientific terms, temperature is the measure of the average kinetic energy of particles in a system. Temperature is an intensive property, meaning it is independent of the amount of matter in a system. For example, water at a given temperature is the same regardless of whether it is in a glass, a bucket, or an ocean.
This temperature range is the optimal temperature for preserving the viability of the sperm cells. If the sample is not tested immediately, it should be stored in a refrigerator or cooler with a temperature at or below this range to ensure the best possible results.
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Complete question:
For BEST results, if not tested immediately, a semen sample should remain at which of the following temperatures following collection?
a) 4 ºC
b) Room temperature
c) 37 ºC
d) -40 ºC
which of the following best accounts for the pressure in teh vessel remaining constant as the volume decreaseds betlow 0.21l
The best option that accounts for the pressure remaining constant in the vessel as the volume decreases below 0.21L is the ideal gas law PV = nRT
Support your answer with an explanation.According to the ideal gas law, the ratio of a gas's pressure (P) and volume (V) to its moles (n) multiplied by its gas constant (R) multiplied by its temperature (T) is known as the ideal gas equation. The pressure and volume are inversely related when the number of moles and the temperature are held constant, which means that as the volume falls, the pressure increases and vice versa.
However, in this case, as the volume falls below 0.21L, the pressure inside the vessel stays constant. This could be explained by the use of outside forces, such a membrane or a piston, which can keep the gas under pressure even as it decreases.
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Block A weighs 12 N and has an apparent weight of 8 N when completely submerged in an ideal fluid. Block B weighs 20 N and has an apparent weight of 12 N when completely submerged in the same ideal fluid. 2. The ratio of the densities Pa/ pe equals: a) 6/5 b) 5/4 c) 4/3 d) 3/4 e) 7/4 3. The ratio of the volumes VA/Vequals: a) 1/3 b) 1/2 c) 3/5 d) 2/3 e) 1/1
1) The ratio of density of A to density of B is 3/2.
2) The ratio of volume of A to the volume of B is 1/3.
How closely a material is packed together is determined by its density. As the mass per unit volume, it is referred to. D or is the symbol for density. Formula for Density = m/V, where is the density, m is the object's mass, and V is its volume.
Given:
Weight of A block = 12 N
Apparent weight of A block = 8 N
Weight of B block = 20 N
Apparent weight of B block = 12 N
Given is a relationship between apparent weight and original weight.
W' = W -B --- (1)
B = W dis liq - ρ liq V obj ---(2)
For block-A :
From equations (1) and (2),
W' = W - ρt V
Substitute the given values,
8 = 12 - ρt V
ρt V = 4 ---(3)
For block-B :
From equations (1) and (2),
W' = W - ρt V
12 = 24 - ρt V
ρt V = 12 ---(4)
From equations (3) and (4)
ρt VA/ρt VB = 4/12
ρt VA/ρt VB = 1/3
As a result, the ratio of volume of A to the volume of B is 1/3.
From given weights of A block and B block,
[tex]W_A}[/tex]/[tex]W_{B}[/tex] = 12/24 ---(5)
weight of an object in terms of volume and density can be written as,
W = ρ Vg
So, equation (5) written as,
ρA [tex]V_{A}[/tex]g/ρB [tex]V_{B}[/tex]g = 12/24
ρA/ρB × [tex]V_{A}[/tex]/[tex]V_{B}[/tex] = 1/2
Substitute [tex]V_{A}[/tex]/[tex]V_{B}[/tex] = 1/3
ρA/ρB ×1/3 = 1/2
ρA/ρB = 3/2
So, the ratio of density of A to density of B is 3/2.
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Suppose you wanted to reach Alpha Centauri (4.4 ly from the Solar system) in 70 years. How fast would you have to go, in km/hr? Express your answer using two significant figures. How many times faster is the speed you found in part A than the speeds of our fastest current spacecraft (around 50000 km/hr)? Express your answer using two significant figures.
Alpha Centauri (4.4 ly from the Solar system) in 70 years. The speed should be around 6.8×107 kph.
What is meant by speed ?
Speed is what it means. the speed at which an object's location changes in any direction.The distance traveled in relation to the time it took to travel that distance is how speed is defined.Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is a scalar value.The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance.As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.To learn more about speed refer to
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in thermo i, the total energy of the system will include all of the following forms of energy except:
The sum of all the kinetic and potential energies of a system's constituent pieces is the total energy of the system.
What is a thermodynamic system's overall energy?4 Energy total, where e=E/m and u=U/m. The terms "specific total energy" and "specific internal energy," respectively, are used to describe the variables e and u. The potential and kinetic energy are frequently zero or so negligible in the study of thermodynamic systems that they can be disregarded.The sum of all the kinetic and potential energies of a system's constituent pieces is the total energy of the system.Potential energy is both stored energy and positional energy.Chemical energy is the energy held in atoms' and molecules' bonds.Mechanical energy is the energy held under tension inside things.Nuclear energy is the energy that an atom's nucleus stores and uses to maintain its structural integrity.To learn more about total energy refer to:
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given that average speed is distance traveled divided by time, determine the values of \(m\) and \(n\) when the time it takes a beam of light to get from the sun to the earth (in \(\rm s\)) is written in scientific notation. note: the speed of light is approximately 3.0\(\times\)108 \(\rm m/s\). enter \(m\) and \(n\), separated by commas.
According to the solving the value of average speed m =5 and value of n =2.
What does a speed's average mean?The average speed is the total distance it travels in a predetermined amount of time. The typical speed is represented by a scalar value. It is characterised by the magnitude and lacks direction.
According to the given information:150 million kilometers separate the planet from the sun.
We are aware that a million
= 10^6 and 1 km= 10^3 m
Hence,
150 million km = 150× 10^6 ×10^3 metre=150×10^9 m
=1.5×10^11 m
The speed of light in a vacuum is 2.999... m/s, which is roughly equivalent to 3.0 108 m/s.
Calculating the time it takes for the light beam to travel from the sun to Earth is demanded of us.
we know that average velocity v = distance/time
Time ⇒ distance/velocity
Here distance=1.5×10^11 m and v=c= 3.0×10^8 m/s
hence time
=0.5×10^3 s
=5.0×10^2 s
m10n [where m is the magnitude and n is the power of 10] is the proper way to write a scientific notation.
Hence the value of m =5 and value of n =2
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for the following unbalanced reaction, suppose exactly 6.95 g of each reactant is taken. determine which reactant is limiting, and also determine what mass of the excess reagent will remain after the limiting reactant is consumed.
Suppose exactly 6.95 g of each reactant is taken and the following details are given by A and B then 6.95 g of A is equivalent to 6.95/molar mass of A moles of A. 6.95 g of B is equivalent to 6.95/molar mass of B moles of B.
How much extra reagent will still be present once the limiting reactant has been used up?To determine which reactant is limiting, we need to compare the amount of each reactant to the stoichiometry of the reaction.
The stoichiometry of the reaction is 1:2 for reactants A and B, respectively.
Therefore, if we have 6.95 g of A and 6.95 g of B, we can calculate the ratio of A to B to determine which reactant is limiting.
6.95 g of A is equivalent to 6.95/molar mass of A moles of A.
6.95 g of B is equivalent to 6.95/molar mass of B moles of B.
Comparing the moles of A and moles of B, we can see that A is limiting, as there is less A than required by the stoichiometry of the reaction.
To determine the mass of the excess reagent (B) that will remain after the limiting reactant (A) is consumed, we need to calculate the moles of B that are in excess.
We can calculate the moles of B that are used up by the reaction (based on the stoichiometry of the reaction) and subtract this from the total moles of B that were initially present.
The remaining moles of B can then be converted back into grams to find the mass of B that will remain.
Using the above method, the mass of the B remaining after A is consumed can be calculated.
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the two block in (figure 1) are at rest on frictionless surfaces. what must be the mass of the right block in order that the two blocks remain stationary? suppose that m
The right block must have a mass of 7.9 kg to balance the forces and remain stationary.
The two blocks remain stationary when the net force on the system is zero. In this case, the force of gravity on the two blocks is balanced by the tension in the rope connecting them. The tension in the rope can be determined using the sine of the angles and the masses of the blocks.
Tension = (mass1 × gravity) × sin(angle1) + (mass2 × gravity) × sin(angle2)
Substituting the known values:
Tension = (10 kg × 9.8 m/s²) × sin(23°) + (mass2 × 9.8 m/s²) × sin(40°)
Solving for mass2:
mass2 = (Tension - (10 kg × 9.8 m/s²) × sin(23°)) / (9.8 m/s² × sin(40°)).
The mass of the right block must be 7.9 kg for the two blocks to remain stationary.
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The question is -
Two blocks in the Figure below are at rest on frictionless surfaces What must be the mass of the right block so that the two blocks remain stationary? 4.9kg 6.1kg 7.9kg 9.8kg
When joists do not completely span the distance from one wall to the other, you must offset the markings on the second wall by? A.2" B.3" C.1 1/4" D.1 1/2"
When joists do not completely span the distance from one wall to the other, you must offset the markings on the second wall by 1 1/2 inches. This is known as a "joist hanger offset."
What is Joist Hanger Offset Here are a few key points to consider when dealing with joist hanger offsets:The offset is necessary to ensure that the joists will be properly supported at both ends.Without the offset, the joists would be cantilevered, which can lead to structural problems over time.The offset is typically 1 1/2 inches, but it may vary depending on the specific requirements of the project.It is important to check the manufacturer's specifications for the joist hangers you are using to ensure that you are using the correct offset.Always consult a professional if you are unsure about how to properly offset joist hangers.It is important to note that the joist hanger offset can vary depending on the type of joist hanger you are using. So, always check the manufacturer's specifications for the correct offset. Also, it is always a good practice to consult a professional if you are unsure about how to properly offset joist hangers.To learn more about joist hanger refer:
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Scientists were surprised to discover that just like Saturn, all of the Jovian planets had __________ (Choose 3)1. Rings2. moons3. an inner core, mantle, and outer surface
Scientists were surprised to discover that just like Saturn, all of the Jovian planets had rings.
What are Jovian planets?Jovian planets include Jupiter, Saturn, Uranus, and Neptune and these planets have larger sizes and masses. Jovian planets do not have solid surfaces and they are sometimes called gas giants because they are large and made mostly of gases.
Jovian planets had rings but they were not as large or as well-known as Saturn's rings, but they were still present and visible under certain conditions. Unlike the terrestrial planets that make up our inner solar system, Jovian planets do not have solid surfaces.
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A skater is standing still on a frictionless ice rink. Her friend throws a Frisbee straight to her. In which of the following cases is the largest momentum transferred to the skater?
(a) The skater catches the Frisbee and holds onto it.
(b) The skater catches the Frisbee momentarily, but then drops it vertically downward.
(c) The skater catches the Frisbee, holds it momentarily, and throws it back to her friend.
The largest momentum transferred to the skater is the skater catches the Frisbee, holds it momentarily, and throws it back to her friend.
The skater stands on a frictionless surface and his friend Frisbee starts moving behind him. The lack of friction makes the skater unstoppable.
However, when the skater returns to his friend through the Frisbee again, there is a backward force that increases the skater's speed. So and momentum is directly proportional to velocity, so as velocity increases so does momentum.
In Newtonian mechanics, momentum (more precisely, linear or translational momentum) is the product of an object's mass and velocity. A vector quantity that has magnitude and direction. If m is the object's mass and v is its velocity (which is also a vector quantity), then the object's momentum p is p = mv.
Advanced formulations of classical, Lagrangian and Hamiltonian mechanics allow the choice of coordinate systems containing symmetries and constraints. In these systems the conserved quantity is the generalized momentum, which is generally different from the momentum defined above. The generalized concept of momentum carries over into quantum mechanics and becomes the operator of the wavefunction. The momentum and position operators are related by the Heisenberg uncertainty principle.
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Which of the following is not a reason why short-circuit calculations are necessary for electrical systems?
a.They are needed to analyze OCPDs for selective coordination.
b.They are needed to determine the standard ampere rating of the OCPD.
c.They are needed to ensure that OCPDs and components/equipment of a distribution system have adequate interrupting ratings and short-circuit current ratings.
d.Service equipment is required to be marked with the available fault current.
Feedback
Your answer is correct.
The correct answer is: They are needed to determine the standard ampere rating of the OCPD.
The correct answer is b. They are required to establish the OCPD's typical ampere rating.
What are the benefits of performing short-circuit calculations in an electrical system?
Performing short circuit calculations in an electrical system can provide a number of benefits.
Short circuit calculations can help prevent potential safety hazards and maximize the efficiency of the electrical system.
By performing these calculations, the system can be designed to ensure that any overcurrent are limited to safe levels and that the equipment is not overloaded.
Additionally, the calculations can be used to determine the fault level of the system, allowing for the selection of components and the assignment of protective devices that can effectively manage any overcurrent that occur.
By having an understanding of the fault level, the system can be designed to prevent any outages that could occur due to overloading or short circuiting of the system.
Short circuit calculations also provide a way to verify the functionality and performance of the system, as well as identify any areas that require improvement.
Overall, short circuit calculations are an invaluable tool for designing and maintaining a safe and reliable electrical system.
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The value of q1 and q2 will be 3.0 x 10^-9 C respectively. Because to be at equilibrium, both of the charges must have equal but opposite charge in them is -6 x 10^-9 C. So we will divide this value into equal and opposite types
Answer:
Yes, you are correct. In order to be in equilibrium, two charges must have equal but opposite charges. So, if the total charge is -6 x 10^-9 C, dividing it into equal and opposite charges would give each charge a value of 3 x 10^-9 C. This is because (-6 x 10^-9 C) / 2 = 3 x 10^-9 C.
If we drop 2 objects of different weights from the same height, which one will reach the ground faster?
If we drop 2 objects of different weights from the same height, both of them will reach the ground at the same time.
Gravity, at the surface of a body like Earth, provides an acceleration to bodies and this acceleration is constant and its value is equal to 9.8m/s². This is because the Earth attracts big objects more than little ones, but the big ones have more inertia, which cancels out. So, all the bodies on the earth's surface fall at the same acceleration of 9.8m/s²
This acceleration due to gravity,g is independent of the mass of the body. The time of flight for any freely falling object depends on the value of acceleration due to gravity and its initial speed. So both the bodies reach the ground at the same time.
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you have two long wires separated by a distance x and oriented perpendicualr. in terms of x where would the charge have to be placed to remain stationary
When two long wires are separated by a distance x and oriented perpendicular to each other, a charge placed at certain points will remain stationary due to the balance of electric forces acting on it.
What location would the charge need to be in order to stay stationary?Here are some potential locations for the charge to remain stationary in terms of x:At the midpoint between the two wires: The charge will be equidistant from both wires, so the electric force on it from one wire will be equal and opposite to that of the other wire, resulting in a net force of zero.At a point along the line that bisects the angle between the two wires: This point is known as the "equipotential point" and is located at a distance of x/√2 from each wire. The electric forces from each wire will be equal in magnitude but opposite in direction, resulting in a net force of zero.At a point along the line that connects the two wires: This point is known as the "neutral point" and is located at a distance of x/2 from each wire. The electric forces from each wire will be equal in magnitude but opposite in direction, resulting in a net force of zero.It is important to note that the charge must be placed at these specific points in order to remain stationary, as any deviation from these points will result in the charge moving due to an unbalanced net force.
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from watching the video, approximate the total time it took for kevin to cross his lawn on the zip line. if kevin has an initial velocity of 3 m/s and comes to a stop at the end of the zip line, calculate the distance he traveled.
The relationship between speed, distance, and time is described using the formula speed distance time. An object traveling 10 miles in 5 minutes averages 120 miles per hour.
What is speed divided by distance?10 miles were covered in total.
It took five minutes in total.
The formula can be used to determine the speed.
s = d/t
s being the speed
D stands for distance.
The amount of time used
Let's change the known variables in the equation above to get
s = 10/5
= 2 miles/minute
However, we must convert the speed to miles per hour in order to use it.
s=2 x 60 miles per hour
120 miles per hour.
An object traveling 10 miles in 5 minutes averages 120 miles per hour.
Consequently, the typical speed is 120 miles per hour.
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Describe how solar radiation that arrives at the equator is redistributed around the earth through atmospheric circulation.
-unequal heating forms Hadley cells that redistribute heat
-unequal heating forms convection currents that redistribute heat
-unequal heating forms wind currents that redistribute heat
-unequal heating alters ocean currents that redistribute heat
Uneven heating patterns Uneven heating causes Hadley cells, which disperse heat; convection currents, which redistribute heat; wind currents, which redistribute heat; and ocean currents, which redistribute.
What type of heating for just a house is the least expensive?If you have access to natural gas as a heating source where you live, it will probably end up being the least expensive way of heat a house. Despite price increases, natural gas remains the most affordable space heating option. Electricity, gas, and heating oil are next, going from the next least expensive from the most expensive.
Which heating system is the most effective?The most effective type of house heating is a heat pump. Their biggest flaw is that they don't work well at extremely high or low temperatures. You can require space heaters all over your house during extremely cold weather, which reduces efficiency.
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small fly of mass 0.28 g is caught in a spider's web. The web oscillates predominately with a frequency of 5.0 Hz Part A What is the value of the effective spring stiffness constant k for the web? Express your answer using two significant figures. VO AED k = N/m Request Answer Submit Part B At what frequency would you expect the web to oscillate if an insect of mass 0.56 g were trapped? Express your answer using two significant figures
The stiffness is 0.21 N/m and frequency is 2.84 Hz.
The effective spring constant k of the web can be determined as follows:
Stiffness is defined as the resistance to forces that bend a component. Firmness is very important to the end-use performance of many papers.
[tex]F= \frac{1}{2pi} \sqrt{\frac{k}{m} }[/tex]
k= 4 pi²f²m
= 0.21875 N/m
The frequency of the web's oscillations can be determined as follows: The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. The unit of frequency is hertz (Hz), or one occurrence per second.
[tex]F= \frac{1}{2pi} \sqrt{\frac{0.21}{0.56 g} }[/tex]
= 2.84 Hz
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5. Brownian motion of smoke particles a) State and explain the observation. b) State and explain what will be observed if the temperature surrounding the smoke cell is increased: What is the function of Microscope,Lens and Smoke
(A) When an air particle bombards a smoke particles, the smoke particle moves to the same direction as the air particle that hit it. When another air particle hits the smoke particle, it changes its direction to that of the second air particle, and so on. This is called Brownian motion.
(B) If the temperature of the surroundings is increased the air particles would gain kinetic energy resulting in more frequent collisions with the smoke particles. Therefore, the smoke particles would be seen moving haphazardly.
(C) The microscope helps magnify the smoke particles for a much more better observation. The lens help in focusing. As the air particles are really small and cannot be observed; therefore, smoke particles are used as they are easy to see and observe; thus, ensuring a better experiment.
8. The Earth orbits the Sun at a distance of 1.46x1011 m from center to center. What is the strength of the Sun’s gravitational field at this distance?
The strength of the Sun's gravitational field at this distance is [tex]0.622m/s^2[/tex]
What is Gravitational field?A gravitational field is defined as the model used to explain the effects that a massive body exerts in the space around it exerts a force on another massive body. Therefore, a gravitational field is used to explain gravitational phenomena, and it is measured in newtons per kilogram.
The acceleration due to gravity on the surface of the earth is given by;
[tex]g = GM/R^2[/tex]
Where, g is the acceleration due to gravity
G is Gravitational constant [tex](6.673 * 10^-^1^1 Nm^2 kg^-^2)[/tex]
M is the mass of the planet [tex](1.99* 10^3^0 kg)[/tex]
R is the radius of planet
So, for above given information, [tex]g= \frac{6.022 * 10^-^1^1* 1.99* 10^-^3^0}{(1.46* 10^1^1)^2}[/tex]= [tex]0.622m/s^2[/tex]
Thus, the strength of the Sun's gravitational field at this distance is [tex]0.622m/s^2[/tex].
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Changes in the quantity and quality of light have important implications for life in aquatic environments, both by influencing the quantity and distribution of productivity and by influencing the vertical profile of temperature with water depth.
Changes in the quantity and quality of light can have significant impacts on aquatic environments, both on the organisms that live there and on the physical characteristics of the water. Some key impacts include:
What are the changes in quantity and quality of light that can have significant impact?
Productivity: Light is a key factor in photosynthesis, the process by which plants and algae produce food. Changes in the quantity or quality of light can affect the amount of productivity in an aquatic environment, leading to changes in the distribution and abundance of different species.Temperature: Light can also affect the temperature of water, particularly in deeper parts of the water column. In the absence of light, water at the bottom of a lake or ocean will be cooler than water at the surface. Changes in the quantity or quality of light can alter this temperature profile, with implications for the organisms that live there.Distribution of species: Light is a major factor influencing the distribution of aquatic organisms. For example, many species of fish and other aquatic animals live in areas of the water column that receive a lot of light, while other species prefer areas with less light. Changes in the quantity or quality of light can shift the distribution of these species, leading to changes in the overall community structure.Photosynthetic organisms: Changes in light intensity and quality can affect the survival, growth and reproduction of photosynthetic organisms like phytoplankton and seaweed.Light pollution: Artificial light sources can disrupt the natural light cycle of aquatic organisms, affecting their behavior, reproduction and survival.Overall, changes in the quantity and quality of light can have significant and wide-ranging impacts on aquatic environments, affecting everything from the productivity and temperature of the water to the distribution and survival of different species.
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s the open sharing of ideas in an atmosphere of respect (in order to achieve understanding between the speaker and listener(s). group of answer choices selective perception scriptwriting dialogic communication defensive listening
Dialogic communication is the open sharing of ideas in an atmosphere of respect (in order to achieve understanding between the speaker and listener(s).
What is Dialogic communication?Dialogic communication is a method of communication that promotes dialogue between a speaker and their audience. In presenting their ideas to an audience, dialogic communication encourages speakers to be assertive (calm, respectful, and open). The dialogic theory is founded on three guiding principles: Monologue is less natural than dialogue. Meaning is found in people, not words. Perceived meanings are influenced by contexts and social situations (Bakhtin, 2001a; Bakhtin, 2001b). Mutuality, propinquity, empathy, risk, and commitment are the five principles underlying dialogic theory (Kent & Taylor, 2002). Mutuality is defined by an orientation toward inclusion or collaboration, as well as a spirit of mutual equality. Mutuality has two characteristics: collaboration and a spirit of mutual equality.
Here,
Dialogic communication is the open exchange of ideas in a respectful environment (to achieve understanding between the speaker and listener) (s).
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A rock is dropped off a cliff and strikes the ground with an impact velocity of 30 m/s. How high was the cliff? A. 20 m B. 30 m C. 45 m D. 60 m
The height of Cliff is 45 m
It is given that
Velocity with which rock dropped from cliff =
30 m/s
intial velocity = 0 m/s
acceleration due to gravity = 10 m/s^2
We have to find how high was the cliff
v^2 - u^2 = 2as
(30)^2 - 0 = 2 x (-10) x s
900 = -20s
s = 45 m
Hence, height of Cliff is 45 m
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which statements correctly describe the effect of distance in determining the gravitational force and the electrical force? check all that apply.
Correct options are the gravitational force is inversely to proportional to the distance, and the electrical force is inversely proportional to the square o the distance.
What is relation between distance and force?Electrical force is the force that is exerted on charged particles due to the presence of other charged particles. It is a fundamental force of nature, and it is one of the four fundamental forces of physics, along with the strong nuclear force, the weak nuclear force, and the gravitational force. Electrical force is responsible for the behavior of charged particles in electric and magnetic fields, and it is the force that holds atoms and molecules together. The electrical force is mediated by the exchange of virtual photons.
Both gravitational and electric forces, according to Coulomb's law, decrease with the square of the distance between the objects, and both act along a line between them. However, in Coulomb's law, the magnitude and sign of an object's electric force are determined by its electric charge rather than its mass. Charge thus governs how electromagnetism influences the motion of charged objects.
[tex]$ F = k \frac{q_1q_2}{r^2}[/tex]
F = electric force
k = Coulomb constant
q₁, q₂= charges
r = distance of separation
And
[tex]$F=G{\frac{m_1m_2}{r^2}}[/tex]
F = force
G = gravitational constant
m₁ = mass of object 1
m₂ = mass of object 2
r = distance between centers of the masses
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