The capacitance is unchanged, and the potential difference between the plates is halved. So the correct option is 1 and 4.
When the plate separation is doubled while the battery remains connected, the electric field between the plates decreases and the potential difference between the plates is halved. The electric charge on the plates remains unchanged, as the electric field is proportional to the electric charge and the capacitance. The decrease in the potential difference between the plates also results in a decrease in the capacitance.
The formula for the capacitance of a parallel plate capacitor is given by C = ε0A/d, where ε0 is the permittivity of free space, A is the surface area of the plates, and d is the distance between the plates. When the plate separation is doubled, the capacitance of the capacitor decreases by a factor of four, as C = ε0A/(2d) = ε0A/d / 2. This decrease in the capacitance is due to the increased distance between the plates and the decreased electric field between the plates.
When the plate separation is doubled while the battery remains connected, the potential difference between the plates is halved, the electric charge on the plates remains unchanged, and the capacitance of the capacitor is unchanged. The decrease in the potential difference between the plates and the decrease in the capacitance demonstrate the fundamental relationship between the electric field, the potential difference, and the capacitance in a parallel plate capacitor.
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Complete question :
Two parallel conducting plates separated by a distance d are connected to a battery of voltage E.What is correct if the plate separation is doubled while the battery remains connected?
1. The potential difference between the plates is halved.
2. The electric charge on the plates is halved.
3. The potential difference between the plates is doubled.
4. The capacitance is unchanged.
5. The electric charge on the plates is doubled.
a 100-cm -thick layer of oil floats on a 170-cm -thick layer of water. what is the pressure at the bottom of the water layer?
The pressure at the bottom of the 170-cm-thick water layer is 17,000 Pa.
The pressure at the bottom of the water layer can be calculated using the formula for pressure due to a fluid column:
P = ρgh
where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column.
Since water has a density of about 1000 kg/m^3, the pressure at the bottom of the 170-cm-thick water layer is given by:
P = 1000 kg/m^3 * 9.8 m/s^2 * (170 cm / 100 cm/m)
P = 17,000 Pa
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The formula vw=f⋅λ describes the relationship between the speed of a wave (vw), and its frequency (f) and wavelength (λ)
Yes, the formula mentioned is correct.
The formula vw = f * λ describes the relationship between the speed of a wave, its frequency, and its wavelength. In this formula:
vw = speed of the wave (m/s)
f = frequency of the wave (Hz)
λ = wavelength of the wave (m)
Wavelength is a term used in physics to describe the distance between two consecutive points on a wave that is in phase with each other. It is an important parameter that characterizes a wave and can help describe its behavior and properties.
The wavelength of a wave determines its size, shape, and behavior in a medium. For example, long-wavelength waves (such as radio waves) can penetrate solid objects, while short-wavelength waves (such as gamma rays) are absorbed by solid objects.
This relationship can be derived from the definition of wave velocity, which is the speed at which a disturbance travels through a medium. The frequency of a wave is defined as the number of complete cycles of the wave that pass a given point in one second, while the wavelength is the distance between two consecutive points on a wave that is in phase with each other.
The formula vw = f * λ shows that the speed of a wave is directly proportional to its frequency and inversely proportional to its wavelength.
Therefore, Yes, the formula mentioned is correct.
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A cart with a ma of 120 kg collide with a tationary dumpter with a ma of 300 kg. Both the cart and the dumpter are free to roll in any direction. The cart and the dumpter tick together after the colliion and move at 0. 5 m/. What other information i needed to determine the final momentum of the dumpter?
No other information is required to find the momentum of the dumpster, the final momentum of the dumpster is 150 kgm/s.
The cart with a mass Ma of 120 Kg collides with a stationary dumper of mass 300 Kg.
The dumper and the cart are free to roll in any direction and after collision they move with a speed of 0.5 m/s.
No further information is required to find the final momentum of the dumpster.
We can simply use the formula,
Momentum = Final speed x mass
Momentum of dumpster = 0.5 x 300
Momentum of dumpster = 150 Kgm/s.
So, the final momentum of the dumpster is 150 kgm/s.
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radio signals 9 billion light years what did it say?
Unfortunately, it is impossible to "speak" anything literally with radio waves that are 9 billion light-years away.
Radio transmissions are only electromagnetic waves that transmit information; meaning cannot be inferred from them without the appropriate tools and a context. The fact that light moves at a finite speed and takes 9 billion years to reach us should also be taken into consideration. As a result, any information carried by radio waves would be billions of years old and might not be applicable to the current condition of the universe.
In radio transmission, a radio transmitter's antenna couples electromagnetic energy into the atmosphere or other open space. Electromagnetic radio waves are caught by a receiving antenna during radio reception and coupled into a receiver for detection.
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Measurement that is used to record the heat transfer of a solution in a classroom investigation.
The most common measurement used to record heat transfer in a classroom investigation is a calorimeter.
A calorimeter is a device used to measure the amount of heat transferred to or from a substance during a chemical or physical reaction. It is commonly used in the classroom setting for experiments that involve the transfer of heat energy. The basic design of a calorimeter consists of an insulated container that holds the substance and a thermometer or temperature probe to measure the temperature change of the substance.
The insulation helps to reduce heat loss to the surrounding environment, which makes the measurement of heat transfer more accurate. Calorimeters can be used to determine the specific heat capacity of a substance, to measure the heat of reaction in a chemical reaction, or to measure the heat transfer between two substances of different temperatures. The results of these experiments can be used to calculate the amount of energy transferred and to determine the energy changes that occur during chemical reactions.
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Even though nuclear fusion releases more energy than nuclear fission for the
same mass of reactants, the energy from nuclear fusion cannot yet be
generated to power homes and businesses. Why is this so?
There have been issues with the energy required to create the conditions necessary for fusion, despite the fact that it produces more energy than fission.
What do reactant and product mean?Chemical compounds known as reactants are those that take part in chemical reactions and produce new substances known as products. The new compounds that are created in a chemical reaction between reactants are called products.
Does water react?In a chemical reaction, the arrow denotes the reaction's direction. The equation might appear something like this if we used the scientific names for the component parts. It is clear from this reaction's reactants, hydrogen and oxygen, that they combine to create the chemical molecule H2O, or water.
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draw x−t graph for the motion of the bumper between t=0 and t=2.00s .
The graph of x-t for the motion of the bumper between t=0 and t=2.00s is a straight line that starts at the origin (x = 0, t = 0) and ends at (x = 2, t = 2). This shows that the bumper moves with a constant speed of 2 m/s.
What is the graph ?A graph is a visual representation of data or information. It typically includes a set of points that are connected by lines or curves to form a picture. Graphs are used to easily visualize trends, compare values, and show relationships between different data sets. They provide an effective way to communicate information to a wide range of audiences. Graphs can be used to illustrate almost any type of data, from population trends to stock market fluctuations.
This graph can be interpreted as follows: the bumper starts from rest (x = 0) at t = 0 and travels a distance of 2 meters in 2 seconds, meaning it has a constant velocity of 2 m/s. The slope of the line is equal to the velocity of the bumper, so m = 2 m/s. This means that for every 1 second that passes, the bumper moves 2 meters.
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What is internal resistance and ideal voltmeter?
Internal resistance means the resistance from battery or cell, that is, the opposition to the flow of current offered by the cells and batteries.
The ideal voltmeter is a voltmeter that does not influence the circuit, because the current passing through it is zero, this is not practically possible.
The internal resistance of an ideal voltmeter is infinity.
What is resistance?Resistance is a unit used to measure the opposition to current flow in an electrical circuit and is measured in ohms.
What is voltmeter?It is an instrument used to measure potential difference in volts.
What is current?The rate at which electrons flow past a point in a complete electrical circuit and current flows in opposite direction than that of electrons.
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Horizontal Distance = 5601.24188 m ✅️ Time of Collision = 9.07818 s ✅️
Value of Rocket Constant A = ?
The speed of the object as we can see in the solution to the problem is obtained as 617 m/s.
What is the velocity of the rocket?
We know that velocity is the ratio of the distance that have been covered to the time that have been taken. We have to note that the velocity is a vector quantity as as such the direction is also quite very important.
Now we know that;
Horizontal Distance = 5601.24188 m
Time of Collision = 9.07818 s
Velocity = 5601.24188 m /9.07818 s
= 617 m/s
The speed is 617 m/s
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If a wave has a speed of 362 m/s and a period of 4. 17 ms, what is its wavelength?.
Important Formulas:
[tex]v=\lambda f[/tex]
velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)
[tex]f=\dfrac{1}{T}[/tex]
frequency(measured in hertz) = 1 / period(measured in seconds)
__________________________________________________________
Given:
[tex]v=362m/s[/tex]
[tex]T=4.17s[/tex]
[tex]\lambda=?[/tex]
__________________________________________________________
Finding frequency:
[tex]f=\dfrac{1}{T}[/tex]
[tex]f=\dfrac{1}{4.17}[/tex]
[tex]f=0.24Hz[/tex]
__________________________________________________________
Rearranging formula for velocity to make wavelength the subject:
[tex]v=\lambda f[/tex]
[tex]\dfrac{v}{f} =\dfrac{\lambda f}{f}[/tex]
[tex]\lambda=\dfrac{v}{f}[/tex]
__________________________________________________________
Finding wavelength:
[tex]\lambda=\dfrac{v}{f}[/tex]
[tex]\lambda=\dfrac{362}{0.24}[/tex]
__________________________________________________________
[tex]\boxed{\lambda=1508.33m}[/tex]
11. The potential energy of a cannonball with a mass of 32-kg is 16000 J. How
high was the cannonball to have this much potential energy?
Based on the force exerted on the two objects, the potential energy equation is determined.The cannon ball was thus 35.7 meters high.
The cannonball had this much potential energy, but how high was it?Based on the force exerted on the two objects, the potential energy equation is determined.P.E. = mgh, where m is the mass in kilograms, g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface), and h is the height in meters, is the formula for gravitational force.
A cannon ball weighs 40 kg and has a potential energy of 14000 J, according to the information provided.
We must ascertain its height.
We'll apply the formula.
P.E = mgh
h thus equals P.E./mg.
P.E. stands for potential energy.
kg is mass, and
Gravitational acceleration (g) (9.8 m/s2)
h is the displacement of the object's height in meters.
h = P.E. / mg
h = 14000 / 40 × 9.8
h = 14000 / 392
h = 35.7
The cannon ball was thus 35.7 meters high.
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A tudent puhe a box, cauing it to lide. But the tudent doe not move. What i true about the net force on the tudent and the box?
The net force on the student and the box is zero, because the student and the box are both exerting the same amount of force on each other.
The net force on the student and the box is zero because the student and the box are both exerting the same amount of force on each other. This is because the student is pushing on the box with an equal force to the one the box is pushing back with. This is known as Newton's third law of motion - for every action there is an equal and opposite reaction. Therefore, the two forces are balanced and the net force on the student and the box is zero. This means that the student and the box will stay in the same position, as they are not being moved by any external force.
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answer this question al six marks please my slays
Answer:
the driver need to stop before he drive
Explanation:
if he keep driving he will hit a car
An object has a charge of -1.6x10-13C, and object B is electrically neutral. Two million electrons are removed from A and placed on B. Expressed in coulombs, what is the resulting charge (algebraic sign and magnitude) on A and on B? (step by step explanation please)
The resulting charge on A is [tex]1.6 x 10^-7[/tex] C, and the resulting charge on B is [tex]-3.2 x 10^-7[/tex] C.
What do you mean by charge?A charge is a property of matter that results from the presence or absence of electrons. It can be either positive or negative, and two objects with opposite charges will be attracted to each other, while two objects with the same charge will repel each other. The unit of charge is the Coulomb (C), which is defined as the amount of charge carried by 6.242 x 10^18 electrons. The concept of charge is important in many areas of physics, including electricity and magnetism, and plays a role in many natural phenomena and technological applications.
The charge on object A is [tex]-1.6 X10^-13[/tex]C.
When two million electrons are removed from object A, the charge on object A becomes more negative. The charge on object A can be calculated using the formula:
Q = Q - ne,
where Q is the original charge, n is the number of electrons, and e is the charge of an electron, which is -1.6 x 10^-19 C.
Therefore, the charge on object A becomes:
[tex]Q = -1.6 X 10^-13 C - (2X10^6)(-1.6X 10^-19 C)[/tex]
[tex]= -1.6 X 10^-13 C + 3.2X 10^-7 C[/tex]
= 1.6 x 10^-7 C
Object B starts as electrically neutral, which means that the total charge on B is 0 C. When two million electrons are placed on object B, the charge on object B becomes more negative. The charge on object B can be calculated using the formula:
Q = Q + ne,
where Q is the original charge, n is the number of electrons, and e is the charge of an electron, which is -1.6 x 10^-19 C.
Therefore, the charge on object B becomes:
Q = 0 C + (2 x 10^6)(-1.6 x 10^-19 C)
[tex]= -3.2 X 10^-7 C.[/tex]
So, the resulting charge on A is[tex]1.6 X 10^-7[/tex]C, and the resulting charge on B is [tex]-3.2X 10^-7[/tex] C.
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You have been tasked with deriving the empirical formula of butadiene. What steps would you take to find the formula? What is the empirical formula?
Write down the molecular formula after counting the number of atoms of each kind in a molecule's structure. Calculate the proportion of each type of atom in the condensed molecular formula.
What exactly are empirical formulas?An empirical formula is a compound's chemical formula that only specifies the ratios of the elements it contains and not the precise number or arrangement of atoms. This would be the compound's element with the lowest whole number ratio. The empirical formula of butadiene is C3H3.
Typically, the empirical formula is used to only display the components of a molecule. When one wishes to quickly identify the elements they are working with, this is helpful. When you want to know how many atoms of each element are present in the molecule, the molecular formula is the most helpful.
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a motorcycle has a constant acceleration of 4.59 m/s2. both the velocity and acceleration of the motorcycle point in the same direction. how much time is required for the motorcycle to change its speed from (a)23.5 to 33.5 m/s, and (b)53.5 to 63.5 m/s?
Time is required for the motorcycle to change its speed from (a)23.5 to 33.5 m/s, and (b)53.5 to 63.5 m/s is 4 s.
What is velocity?
Velocity is a vector quantity that measures the rate of change of the position of an object in a given direction. It is the speed at which an object is moving in a specific direction, usually measured in meters per second (m/s).
Velocity can be calculated by dividing the distance travelled by the time taken to travel that distance. It is the rate of change of an object's position in a given direction. Velocity can also be affected by acceleration, force, and gravity.
(a) Time required = (Final velocity - Initial velocity)/Acceleration
Time required = (33.5 - 23.5) / 4.59
Time required = 4 s
(b) Time required = (Final velocity - Initial velocity)/Acceleration
Time required = (63.5 - 53.5) / 4.59
Time required = 4 s
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The distance between the centres of the Moon and the earth is D. The mass of the earth is 81 times the mass of the Moon. At what distance from the centre of the earth, the gravitational force will be zero?
The distance at which the gravitational force will be zero is called the balance point, or the Lagrange point.
define distance ?
Distance refers to the amount of space between two points or objects. It is a scalar quantity and is measured in units of length, such as meters, feet, or kilometers. The distance between two points is equal to the length of the path connecting those two points.
The distance at which the gravitational force will be zero is called the balance point, or the Lagrange point. This distance can be calculated using the formula for the gravitational force between two masses and setting it equal to zero. However, the exact value of this distance would depend on the specific masses and distances involved, which are not specified in the question.
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An electron and a neutral carbon atom are floating alone and initially at rest in interstellar space a distance of 100 nm apart. The constant alpha for a carbon atom in the expression p_e = alpha E is about alpha = 2.0 times 10^-40 in SI units. What are the correct SI units for a? Explain physically why the electron will accelerate toward the carbon atom and calculate the magnitude of its initial acceleration. By the time the separation between the two has decreased to 10 nm, by what factor has the electron's acceleration increased? Imagine that two charged balls placed some distance apart strongly attract each other Now
SI unit is m^2C^2/j, the electron will accelerate because of attractive electric force, electron's acceleration increased by a factor of 1/100.
The unit for alpha is m^2C^2/J, which represents the ratio of an electron's momentum to the electric field acting on it.
The electron will accelerate towards the carbon atom because of the attractive electric force between the negatively charged electron and the positively charged nucleus of the carbon atom. This force is given by Coulomb's law:
F = k x q1 x q2 / r^2, where k is the Coulomb constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.
The magnitude of the initial acceleration can be calculated using Newton's second law:
F = m x a, where m is the mass of the electron and a is its acceleration. Substituting the electric force from Coulomb's law gives:
= a
= F / m
= k x q1 x q2 / m x r^2
By the time the separation between the two has decreased to 10 nm, the acceleration of the electron has increased by a factor of (10 nm / 100 nm)^2 = 1/100.
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A positive object touches a neutral electroscope, and the leaves separate. Then a negative object is brought near the electroscope, but does not touch it. What happens to the leaves?.
The leaves are getting closer.
An electroscope is an early scientific instrument used to detect the presence of electrical charges in a body. The charge is detected from the motion of the test object due to the Coulombic electrostatic force acting on the test object. The amount of electric charge on an object is proportional to the voltage. The electroscope consists of a metal button and he two blades. When a negatively charged object is brought close to the instrument, the blade will repel and move away. There are two types of electroscopes: the medulla electroscope and the gold foil electroscope. When a negatively charged object is brought close to the electroscope, the charge induces a positive charge on the leaves. So nothing should happen. However, induction causes the leaves to move closer together.
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A turntable that is initially at rest is set in motion with a constant angular acceleration.
A turntable that is initially at rest is set in motion with a constant angular acceleration a (alpha). What is the angular velocity of the turntable after it has made one complete revolution?
4√π.a
About accelerationIn physics, acceleration is the change in velocity within a certain unit of time. Generally, acceleration is observed as an object moving faster or slower. But acceleration is a vector quantity, so acceleration has both magnitude and direction. In other words, an object that is turning (eg a car that is still turning) also has acceleration too.
The SI unit of acceleration is m/s2. The acceleration dimension is L T-2.
In classical mechanics, the acceleration of an object with mass remains directly proportional to the resulting force acting on it and inversely proportional to its mass.
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solutions of electrolytes are formed from nondissociating molecules that are nonconductors of electricity. an example would be sugar dissolved in water.
The statement that solutions of electrolytes are formed from non-dissociating molecules that are nonconductors of electricity is false.
Electrolytes are substances which when mixed in water produce ions which can conduct electricity because of mobility provided by anions and cations, i.e., negatively charged and positively charged ions.
Non-dissociating molecules are those which cannot break down into radicals, ions or atoms. In an electrolyte solution, dissociation is important in order to produce the ions which produce charge or electricity in the solution, hence facilitating the movement of these ions through the solution. For example, hydrochloric acid dissociates in water to produce H+ and Cl- ions.
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why should the wavelength scale of spectroscope be calibrated
Your spectroscope must be calibrated in order to account for systematic inaccuracy. The helium discharge tube is a handy source of emission lines.
Why is it necessary to calibrate the spectroscope's wavelength?Spectrometers will inevitably drift over time as a result of impacts and effects from the environment. Regular wavelength calibration, which helps to assure accurate and dependable spectroscopic data, can readily address this prevalent problem. The wavelength calibration verifies that the grating's angular position setting and the wavelengths assigned to each pixel on the CCD array detector are correct. By analysing the spectra of an orange glass and a suspension of microalgae, the process is demonstrated.
This is accomplished by comparing the wavelengths you empirically determined to wavelengths discovered via research in the literature.
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which of jupiter's moons was found to have active volcanoes on it?
The stony moon of Jupiter With hundreds of eruptions, some of which are spouting lava fountains that are a few kilometers (or kilometers) high, Io is the solar system's largest volcanically active planet.
What makes Jupiter so distinctive?By far the biggest world in the solar system, Jupiter is more than times as large than all of the other planet put altogether. Jupiter is the sixth planet from our Sun. The swirls and patterns of Jupiter are really urea and water clouds floating in a helium- and hydrogen-rich atmosphere.
Jupiter has to be either hot or cool.The clouds tops are thought to be roughly -280 degrees Fahrenheit frigid. The overall temperature of Mars is -238 degrees Fahrenheit. Jupiter's pole is only little more than 3 degrees inclined, therefore
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How long does it take for radio signals to travel from Earth?
The time it takes for radio signals to travel from Earth depends upon the distance they are traveling to. Radio signals travel at the speed of light, which is roughly 299,792,458 meters each second.
In this way, to compute the time it would take for a radio transmission to travel a specific distance, you would isolate the distance by the speed of light which is about 3 x 108 m/s
For example, if the radio transmission is traveling to a planet that is 40 million kilometers away, it would require the radio transmission roughly 133.3 seconds to arrive.
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How to convert degrees Fahrenheit to degrees Celsius?
Add five to this number. The outcome is divided by nine. Consider the following scenario: You want to know whatever the temperature would be in degree Celsius at 80 degrees Fahrenheit.
How do you convert a measurement from Fahrenheit to Celsius?
Converting a current temperature from the Order of 0.1 to a Celsius scale is known as the Fahrenheit to Celsius conversion. The formula for the connection among Celsius and Celsius is °Cc = (°F - 32) 5/9, where C stands for the number in Celsius and D e stands for the value in Fahrenheit.
What does 0 Celsius translate to in Fahrenheit?
conversion formula for Celsius to Fahrenheit. 32 degrees Fahrenheit is the same as zero degrees Celsius.The temperature T is equivalent to the temperature in degrees Fahrenheit (°F).
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why is interpretation an important part of meterorology
The study of the atmosphere and the phenomena it causes, such as weather and climate, is known as meteorology.
What is Meterology?It's common to think of meteorologists as weather forecasters. Indeed, some meteorologists do that.
Weather forecasting is a challenging procedure that calls both both cutting-edge modern equipment and some time-tested methods. Meteorologists conduct study and act as observers.
They observe the atmospheric conditions above them and examine maps, satellite data, and radar data. Various types of weather information from local, regional, and international sources are also compared.
Therefore, The study of the atmosphere and the phenomena it causes, such as weather and climate, is known as meteorology.
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the pressure of the helium inside a toy balloon is 1250 mm hg. what is this pressure in kpa?
The pressure of the helium inside a toy balloon in kpa is calculated to be 166770 kPa.
Pressure of helium = 1250 mm Hg
Converting into m Hg, we have,
p he = 1250/1000 = 1.25 m Hg
From the physical properties of Hg, we know,
ρ Hg = 13.6 g/cm³ = 13600 kg/m³
Gravity of the earth = 9.8 m/s²
The helium pressure inside a toy balloon is, in kPa,
p he = ρ g h = 13600 ×9.81 × 1.25 = 166770 kPa
Thus, the required pressure of the helium inside a toy balloon in kpa is calculated to be 166770 kPa.
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A 100 g steel ball falls from a height of 1. 8m on to a metal
plate and rebounds to a height of 1. 25 m. Find
a the p. E. Of the ball before the fall (g = 10 m/s2).
bits k. E. As it hits the plate,
cits velocity on hitting the plate,
d its k. E. As it leaves the plate on the rebound,
e its velocity of rebound.
(a) The potential energy of a 100 g steel ball that falls from a height of 1. 8m on to a metal plate and rebounds to a height of 1. 25 m. before the fall = 1.8 Joules
(b) The kinetic energy as it hits the plate = 1.8 Joules
(c) The velocity on hitting the plate = 6 m/s
(d) The kinetic energy as it leaves the plate on the rebound = 5 m/s
To determine the potential energy, use the equation:
PE = mgh
Where:
m = mass of the object (kg)
g = acceleration due to gravity (10 m/s²)
h = height (m)
Hence,
(a)
The potential energy:
PE = mgh
= (0.1) (10) (1.8
= 1.8 Joules
(b)
The kinetic energy as it hits the plate:
KE = PE
KE = 1.8 Joules
(c)
The velocity on hitting the plate:
KE = [tex]\frac{1}{2}[/tex] mv²
1.8 = [tex]\frac{1}{2}[/tex] (0.1)v²
v = 6 m/s
(d)
The kinetic energy as it leaves the plate on the rebound:
PE = mgh
= (0.1) (10) (1.25)
= 1.25
KE = [tex]\frac{1}{2}[/tex] mv²
1.25 = [tex]\frac{1}{2}[/tex] (0.1) v²
v = 5 m/s
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What is the speed of the lander just before it touches the surface? the acceleration due to gravity on the moon is 1. 6 m/s2.
The speed of the lander just before it touches the surface will be the highest it has been during its descent.
The speed of the lander just before it touches the surface can be calculated using the equation: v = √(2gh), where g is the acceleration due to gravity on the moon (1.6 m/s^2), h is the height above the surface, and v is the velocity.
Assuming h is a constant value, the velocity of the lander can be calculated as the square root of two times the acceleration due to gravity multiplied by the height. This equation is known as the equation of motion and is used to calculate the velocity of an object in free fall. It is important to note that the velocity will increase as the height decreases, so the speed of the lander just before it touches the surface will be the highest it has been during its descent.
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what is the magnitude of a vertical electric field that will just barely counterbalance the weight of a plastic bead of mass 2.20 g if the bead has been charged to 1.40 μc?
The required magnitude of a vertical electric field that will just barely counterbalance the weight of a plastic bead is calculated to be 15.42 × 10³ C.
The mass of the bead is given as, m = 2.2 g = 2.2 × 10⁻³ kg
The charge on the bead q = 1.4 μc = 1.4 × 10⁻⁶ c
Magnitude of vertical electric field = ?
The electric field's force on the charged plastic sphere equals q E.
The plastic spherical is m g in weight.
where, g is the acceleration due to gravity
Now the force due to electrostatic field is balanced by the weight of the plastic sphere.
q E = m g
E = m g / q
E = (2.2 × 10⁻³)(9.81)/(1.4 × 10⁻⁶) = (2.2 × 9.81 × 10³)/1.4 = 15.42 × 10³ C
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