W = fd means that the work is equal to the force f times the distance d. The work is W = fd cosФ if the force is applied at an angle of Ф to the displacement.
What are work state and its SI unit?Work is a unit of energy that is generated when a force is applied to the body and the body is moved. The Joule is the SI unit of work.
Is there no displacement while work?A displacement and the force that triggered it are necessary for a force to be considered to have accomplished work on an item.
How does relocation impact the work?The displacement of the body: At constant load and constant angle between force and displacement, work is directly proportional to the displacement.
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The work formula is used to calculate the amount of energy required to move an object a certain distance.
What is energy ?Energy is a fundamental concept in physics. It is defined as the capacity for doing work or the ability to produce change. Energy can be found in many forms, such as thermal, kinetic, chemical, electrical, gravitational, and nuclear. It can be converted from one form to another and can be transferred from one object to another. Energy is neither created nor destroyed, but can be changed from one form to another. This concept is known as the law of conservation of energy. In physics, energy is used to describe the ability to do work.
It is expressed as the multiplication of the magnitude of displacement (d) and the component of the force (F) acting on the object. The angle θ is the angle between the direction of the force and the direction of the displacement. The cosine of this angle (cosθ) is used to account for the fact that the force does not always act in the same direction as the displacement. The work formula can be expressed
as: W = F × d × cosθ.
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how fast does light travel
A stationary source of light emits light at a speed of 300,000 km/sec.
Is there anything that moves more quickly than light?
No object can go more quickly than 300,000 kph (186,000 miles per second). Only massless particles, such as the photons that constitute light, are capable of traveling at that speed. Any material item cannot be accelerated to the speed of light since doing so would require a limitless supply of energy.
The exact distance that light travels in a vacuum at in a second is 299,792,458 meters (983,571,056 feet). This is roughly 186,282 miles per second, or "c," the symbol for light speed in mathematics.
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The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.60�10^?19 J. In what direction and through what potential difference Vb-Va does the particle move?a. The particle moves to the left through a potential difference of Vb-Va = 0.500 V.b. The particle moves to the left through a potential difference of Vb-Va = -0.500 Vc. The particle moves to the right through a potential difference of Vb-Va = 0.500 V.d. The particle moves to the right through a potential difference of Vb-Va = -0.500 V.e. The particle moves to the left through a potential difference of Vb-Va = 5.00 V.f. The particle moves to the right through a potential difference of Vb-Va = -5.00 V
The particle moves to the right through a potential difference of Vb-Va =0.500 V. The correct answer is C.
We can use the relationship between the electric potential difference (V) and electric force (F) on a charged particle to identify the direction and potential difference through which the particle moves.
The equation describes the work an electric force does on a charged particle.
Fdcos = W∅
where ∅ is the angle formed between the force's direction and the particle's displacement, d is the distance traveled by the particle, and F is the electric force.
In this instance, the angle between the force's direction and the particle's displacement is zero since the particle is solely affected by the electric force and moves along the x-axis, and the work done by the electric force is represented by W = Fdx.
Therefore, Vb - Va = W/q, where q is the particle's charge, gives the potential difference between points a and b.
The work-energy principle stipulates that work done on a particle is equal to the change in kinetic energy, therefore we can say that the work done on the particle is equal to 1.60x10⁻¹⁹ J given that the particle's kinetic energy increases by this amount.
The sign of the potential difference can now be used to determine the force's direction because the electric force is provided by
F = -q(dV/dx).
Since the electric force is directed in the opposite direction to the direction the particle is moving because of the positive potential difference, the particle is moving to the right.
As a result, the particle goes to the right through a Vb-Va = 0.500 V potential difference.
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1. Two materials that can be scratched by an iron mail are ___, ___
2. What is the substance that can be scratched by an iron nail but not a penny?
Please answer
(1) Two materials that can be scratched by an iron mail are zinc and aluminum.
(2) The substance that can be scratched by an iron nail but not a penny is Nickel.
What is hardness of a material?The hardness of a material is defined as its ability to resist deformation due to mechanical scratching, abrasion, or indentation.
A material having a higher Mohs hardness number is able to scratch other materials which have a lower Mohs hardness number.
Based on this scale of hardness, iron has a hardness number of 4.5, zinc has a hardness number of 2.5, and aluminum has a hardness number between 2.5 to 3.
Thus, iron can scratch both, Zinc and Aluminum.
A penny is made from copper-plated material and copper has a hardness number of 3 on the Mohs scale. Whereas Nickel has a hardness number of 4. Therefore, a penny cannot scratch a material made of Nickel.
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determine the speed a projectile must reach in order to become an earth satellite.
Projectiles must therefore travel at a speed of at least 8000 meters per second in order to form an or satellite.
How do you define a speed simple?The direction of motion of a body as well as object is determined by its velocity. Speed is essentially a scalar quantity. In actuality, velocity is an vector quantity. What it is is the rate of change of distance. It gauges how quickly the displacement is changing.
What, in physics, is speed, and what is its unit?The rate at which distance and time change is what is meant by speed. It has the aspect of temporal and spatial distance. The mix of the fundamental units of distance and time is what is described also as SI unit of speed. As a result, our Si system of speed is the meter per second.
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How to convert 220 celsius to fahrenheit?
220 times 9 equals 1,980. 5 times 1,980 yields 396. 396 degrees plus 32 is 428 degrees Fahrenheit.
How rapidly is the conversion from Celsius to Fahrenheit?Here is a short tip you can use if you need to rapidly convert from Celsius to Fahrenheit: The (calculated) temperature to degrees Fahrenheit is obtained by multiplying the thermometer in degrees C by 2, then by 30.
Can people survive in temperatures of 100 °C?The greatest temperature about which people can survive is generally accepted to be 108.14 degrees Fahrenheit, or 42.3 degrees Celsius. Higher temperatures have the potential to denature proteins and harm the brain permanently. Simply said, the human body has the potential to become scrambled.
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What is the most important consideration when evaluating lightning rods as a means to protect a building from lightning strikes in violent storms? a. the grounding of the lightning rod b. the height of the lightning rod c. the type of head of the rod (round vs pointed) d. the width of the lightning rod (thick vs thin)
"The most important consideration when evaluating lightning rods as a means to protect a building from lightning strikes in violent storms is the grounding of the lightning rod." Correct option is A.
In an effort to draw the lightning bolt, the rods are fixed to the top of the building. When the bolt strikes, the rod safely directs the energy's millions of volts through copper or aluminium cables throughout the house before dissipating it underground.
A metallic rod (often made of copper) that deflects lightning strikes and directs their currents underground might shield a building from damage.
As a result, there is more air conducting above the lightning conductor rod. A lightning conductor rod's proximity to ionised air causes the lightning to hit more randomly as a result.
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list two reasons it is important that a gap be left between the crucible and its lid when heating the sample
Leaving a gap between the crucible and its lid when heating a sample is important for two main reasons:
1. Ventilation: The gap allows air to circulate and prevents the buildup of pressure inside the crucible, which can cause it to crack or explode. It also allows any fumes or gases generated during heating to escape, reducing the risk of contamination or reaction with the lid.
2. Temperature control: The gap allows for more even heating of the sample and prevents the lid from trapping heat inside the crucible, which can cause hot spots and uneven heating. The gap also allows for the insertion of thermocouples or other temperature sensors to monitor the temperature of the sample during heating.
In conclusion, a gap between the crucible and its lid is an important safety and control feature when heating a sample, allowing for proper Ventilation and temperature regulation
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should plate k have a positive or negative voltage polarity with respect to grounded plate L? The elementary charge is 1.60217 x 10^-19 C
The equation's outcome will be negative if the charge on plate K is greater than the charge on plate L. The equation's outcome will be positive if the charge on plate K is smaller than the charge on plate L.
The polarity of plate K with respect to plate L is determined by the electric charge on each plate. If plate K has a greater charge than plate L, then the polarity of plate K will be negative with respect to plate L. If plate K has a lesser charge than plate L, then the polarity of plate K will be positive with respect to plate L. Mathematically, this can be expressed as:
Polarity = (Charge on plate K - Charge on plate L) / Elementary Charge
Since the Elementary Charge is 1.60217 x 10^-19 C, the polarity of plate K with respect to plate L can be calculated as:
Polarity = (Charge on plate K - Charge on plate L) / 1.60217 x 10^-19 C
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complete question:should plate k have a positive or negative voltage polarity with respect to grounded plate L? The elementary charge is 1.60217 x 10^-19 C
1. Negative
2. Positive
3. Voltage should be zero.
What is standard room temperature in C?
20 to 22 degrees Celsius is standard room temperature in C.
What is Temperature?
It is a measure of the degree of hotness or coldness of a body or an environment. It is a scalar quantity that is expressed in units such as Celsius (°C), Fahrenheit (°F), or Kelvin (K). The temperature of an object or environment is a measure of the average thermal energy of the particles that make it up, and it determines the direction of heat flow. High temperatures are associated with high thermal energy and fast molecular motion, while low temperatures are associated with low thermal energy and slow molecular motion. The temperature of an object or environment plays a crucial role in many physical and biological processes, such as chemical reactions, phase changes, and metabolic processes.
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Match the term to its description to test your understanding of the use of moist heat to control microbial growth. Pasteurization Requires use of an autoclave. To sterilize, temperature must reach 121°C for a minimum of 15 minutes. 100°C, 30 minutes will disinfect but will not sterilize. Boiling water Heat applied to beverages to prevent spoilage and kill pathogens. Protocols include holding liquids at 71.6°C for 15 seconds or at 63°C for 30 minutes. Does not sterilize. Steam under pressure
Pasteurization - Heat applied to beverages to prevent spoilage and kill pathogens. Protocols include holding liquids at 71.6°C for 15 seconds or at 63°C for 30 minutes. Does not sterilize, Boiling water - To disinfect but will not sterilize.
Steam under pressure - Requires use of an autoclave. To sterilize, temperature must reach 121°C for a minimum of 15 minutes. Pasteurization is a heat treatment process that is used to kill harmful microorganisms and extend the shelf life of perishable food and beverage products. pasteurization involves heating the product to a specific temperature for a set amount of time and then rapidly cooling it. The temperature and duration of pasteurization depend on the type of product and the pathogens that need to be eliminated. Common pasteurization methods include high-temperature short-time (HTST) and low-temperature long-time (LTLT) pasteurization. HTST pasteurizes products quickly at high temperatures, while LTLT pasteurizes products at lower temperatures over a longer period of time.
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How to Write the Formula for NaOH (Sodium hydroxide)
The chemical equation serves as a representation for this.: NaOH → H 2 O OH- + Na. +.
What in chemical is a NaOH?Other names for sodium hydroxide include lye, soda, and caustic soda.Hydroxide is a white, crystalline, odorless solid at room temperature that draws moisture from the atmosphere.It is a product of synthetic manufacturing.
NaOH—is it a true hydroxide?NaOH, or sodium hydroxide, has no scent.It is constructed of unbreakable white crystals that draw moisture from the atmosphere.Caustic means sodium hydroxide.
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Ferryboat Docking Bumper Shock M₂ Absorber M 1979M2. A ferryboat of mass Mi= 2.0 x 105 kilograms moves toward a docking bum per of mass My thatis attached to a shock absorber. Shown below is a speed v vs. time t graph of the ferryboatfrom the time it cuts off its engines to the time it first com esto rest after colliding with the bumper. At the instant it hits the bumper, t= 0 andv= 3 meters per second. 3 m/s 2 m/s a. After colliding inelastically with the bumper, the ferryboat and bumper move together with an initial speed of 2 meters per second
Mass of the bumper =M2=1*10^5 kg
It is given that collision is inelastic and after Collision Both Boat and Bumber moves with 2m/see then, velocity from conservation of momentum.
M_{1}*v_{1} = (M_{1} + M_{2}) * v_{2}
(m_{1}*v_{1})/v - m_{1} =m 2
M_{2} =2*10^5*3/2-2*10^5 = 1*10^5 kg
According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
Conservation of momentum states that the center of mass's mass times velocity remain constant. Conserving Angular Momentum: The system's overall angular momentum is constant. Newton's Third Law: Since all internal forces occur in pairs, there can be no net force generated within the system.
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what happens to a wave when the energy is absorbed
When a wave is absorbed, the matter takes in energy from the wave and, in doing so, lowers the amplitude
What is AmplitudeAmplitude is the distance or farthest deviation from the balance point in a sine wave. In the international system, the amplitude is usually denoted by A and has units of meters (m).
In another definition, amplitude is a non-negative scalar measurement of the oscillating magnitude of a wave. The amplitude described earlier is the amplitude in physics. In contrast to the amplitude contained in the world of music.
Amplitude in music is defined as the volume of an audio signal. Wave amplitude is measured from the centerline distance. The results of this measurement are referred to in decibel units.
Amplitude typebroadly speaking there are 3 main types of amplitude, including:
Has a non-negative scale measurement of the magnitude of the oscillation of a wave Has the greatest distance difference from the balance point in a sinusoidal wave It has the largest and farthest deviation from the balance point in a wave and a vibrationLearn more about amplitude at https://brainly.com/question/29697307
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Blue and white wands are rubbed together and held 1.35 cm apart. If the charge on the white- faced wand is 1.38 x 10-10 C, what is the magnitude of the force each wand ex one? Is the force attractive or repulsive? State your assumptions.
Coulomb's Law indicates the magnitude of the force that each wand exerts on the other. The force is attractive .
What is Coulomb's Law, exactly?A fundamental law of electrostatics that explains the force between two electric charges is known as Coulomb's Law, after the French physicist Charles-Augustin de Coulomb. According to this theory, the electrostatic force of attraction or repulsion that exists between two point charges is inversely proportional to the square of the distance between them and directly proportional to the product of the charges' magnitudes. It is a law of inverse square, which means that the force exerted by two objects decreases proportionally to the square of their distance.
Coulomb's Law reveals the magnitude of the force that each wand exerts on the other:
F is equal to k(q₁q₂)/r², where r is the distance between the wands and q1 is the charge on the white-faced wand (1.38 x 10⁻¹⁰C), q₂ is the charge on the blue-faced wand (assumed to be -1.38 x 10⁻¹⁰C since the wands are rubbed together), and
k is the Coulomb constant (8.98755 x 10⁻⁹ N
F = 8.98755 x 109 N m²/C² × (1.38 x 10⁻¹⁰C × (-1.38 x 10⁻¹⁰C))/(0.0135 m)²
F = -1.20 x 10⁻⁵ N
Because the charges are of opposite sign, the force is attractive.
Assumptions:1. The blue-faced wand has a charge of -1.38 x 10⁻¹⁰C.
2.1.35 centimeters separate the wands.
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is any influence that causes an object to change, either concerning its movement, direction, or geometrical construction.
Force is any influence that causes an object to undergo a certain change, either concerning its movement, direction, or geometrical construction.
What is the name for any long-term change in direction?
Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
A force has the power to alter an object's motion's direction. A greater force acting on an object will result in a greater change in motion. To undergo the same change in motion, a heavier object needs more force than a lighter thing.
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a plane is flying due west at 275 km/h and encounters a wind from the west at 80 km>h. what is the plane’s new velocity with respect to the ground in standard position?
The plane's new velocity with respect to the ground is 195 km/h, westward.
When a plane is flying in the presence of wind, its velocity with respect to the ground is the vector sum of its velocity relative to the air and the velocity of the wind. In this case, the plane is flying due west at 275 km/h and encountering a wind from the west at 80 km/h.
To find the plane's new velocity with respect to the ground, we need to add the velocity of the plane relative to the air and the velocity of the wind. The velocity of the plane relative to the air is given as 275 km/h due west, and the velocity of the wind is given as 80 km/h from the west.
Adding these two velocities gives us the plane's new velocity with respect to the ground:
Velocity with respect to ground = 275 km/h + 80 km/h = 355 km/h due west.
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what is the change in potential energy of a proton as it moves x = 5 m to x = 2 m in a uniform electric field that is parallel to the positive
The equation U = qV can be used to calculate the change in potential energy, where q is the proton's charge and V is the difference in voltage or electric potential.
We utilise the equation V = Ed, where E is the electric field strength and d is the distance travelled in the field, to determine V. We get V = E(5-2) = E * 3 and U = qV = q * E * 3 when the given values are substituted.Electric Potential Difference (V or V): In an electric field, the amount of energy needed to transport a charge from one place to another is known as the electric potential difference. It is frequently represented by the symbol V and has volt-based units (V).
(E) Electric Field Strength the strength of the electric field
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A positively charged metal ball a is placed near metal ball b. Show that if the charge on b is positive but of small magnitude, the balls will be attracted to each other.
If both balls have positive charge,they will be attracted towards each other because of induced charges.
Ultimately, the induced charging is a charging technique that charges an item without really contacting the item to some other charged object. The charging by enlistment process is where the charged molecule is held close to an uncharged conductive material that is grounded on an impartially charged material. The charge streams between two items and the uncharged conductive material foster an accuse of inverse extremity. These were the various techniques for charge move.
Charging by Induction Using a Negatively Charged ObjectCharging by Induction Using a Positively Charged ObjectWhen metal b is given charge,in that case both balls will get positive charge on each other,due to that try to repel each other,but for maintaining stability,we induced charge will induce in metal b on close side of the ball.Due to that now ball a has positive charge and metal b has negative charge.Therefore,they will attract each other.
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which is an example of measurement that considers velocity?
Speed is an example of measurement that considers velocity.
What is velocity?
Velocity is a vector measurement of the rate and direction of motion or the speed of an object in a given direction. It is the magnitude of the rate of change of an object’s position, and is usually expressed in meters per second (m/s). Velocity is defined as the rate of change of the position of a body with respect to time. An example of velocity is a car traveling at 30 miles per hour.
It is a measure of how quickly an object is moving across a given distance, usually measured in meters per second or kilometers per hour. This is because speed is a measure of how quickly an object is moving, which is related to its velocity. Speed is calculated by dividing the distance traveled by the time it takes to travel that distance, which includes the velocity of the object.
Therefore, Speed is an example of measurement that considers velocity.
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at which point is the electric field stronger
The electric field is strongest at the point of closest proximity between two opposite charges. The electric field will decrease in strength with increasing distance from the point of closest proximity.
Where the lines are spaced apart the most, the field is strongest. Charge 1 is negative and charge 2 is positive because the electric field lines converge towards charge 1 and away from charge 2, respectively. The density of electric field lines directly relates to the strength of an electric field. The strength of the electric field depends on how closely the field lines are spaced from one another; the weakest electric field results from field lines that are far apart.
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Given the above unit analysis, what can be said about the relationship between solar flux and energy? Hint: You many need to break down the units a bit more... Solar flux is directly proportional to energy per second. OOOO Solar flux is inversely proportional to energy per second. Solar flux is directly proportional to the power of the star, and is not related to energy. Solar flux is inversely proportional to the power of the star, and is not related to energy.
Solar flux is directly proportional to energy per second. Solar flux is a measure of the amount of energy that a star emits per unit of area per unit of time. Solar flux has units of energy per area per time, such as watts per square meter per second. Thus, solar flux is directly proportional to energy per second.
Solar flux refers to the rate of energy flow per unit area per unit time. It is often used to describe the amount of energy that a star emits, and it is typically measured in units of watts per square meter per second (W/m^2/s). The relationship between solar flux and energy is direct, meaning that as the solar flux increases, the amount of energy per second also increases. The higher the solar flux, the more energy is being emitted by the star. Solar flux is a useful metric in astronomy and space physics as it helps to describe the energy output of stars and other celestial objects. Additionally, it provides important information about the amount of energy that reaches the Earth's atmosphere and how it can impact our planet's climate and environment.
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do you think your weight is the same if you are on the moon, mars, or jupiter? explain.
Answer: neither, your weight is not the same on any planet
Explanation: Our mass is the amount of matter that we consist of. This mass does not change when we change planets. However, if we went from Earth to Mars, our weight would change because Mars has less gravity than Earth. Gravity is a force pulling matter together.
A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface.
A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface. The value of the net force acting on the block will be 79N.
The combination of mass and acceleration is known as force, and it acts on the body to cause it to move. Since the block is being affected by an external force, there will be a frictional force that prevents the block from moving. The frictional force is given by and can be represented by the symbol f(k).
f(k) = external force - (ma)
f(k) = 40N - (5×6)
f(k) = 40N - 30N
Since it opposes the external force, f(k) = 10N, and since the sign is negative, f(k) = -10N.
In addition, the body is subject to a gravitational force that is equal to mg, where g is the acceleration caused by gravity.
Now, force of gravity = mg
= 5×9.8 = 49N
Now, net force acting on the block = 40N - 10N + 49N= 79N.
Your question is incomplete but most probably your full question was
A force of 40.0 N accelerates a 5.0-kg block at 6.0 m/s2 along a horizontal surface. what is the net force acting on the block
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why is important that density is constant in calorimeter
To achieve accurate and trustworthy heat measurement data, it is necessary to guarantee that the density of the substance in the calorimeter remains constant. This can be accomplished by utilising material having low coefficients of thermal expansion or by maintaining stable temperature conditions during the testing.
A calorimeter is a device that measures the heat of reaction or physical changes as well as heat capacity. For accurate heat readings, the density of the substance in the calorimeter must remain consistent.
The heat produced by a reaction or physical change is directly proportional to the mass of the substance. If the density of the substance varies throughout the measurement, the mass changes, resulting in an inaccurate measurement of heat.
Furthermore, a substance's heat capacity is determined by its density, therefore a change in density will result in a change in heat capacity. This would also result in an erroneous heat measurement.
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A 5kg mass is dropped from a height of 20m. With what speed does it hit the ground?
The speed with which the mass which is dropped hits the ground is calculated to be 20 m/s.
The mass dropped from certain height is of 5 kg.
The height from which the mass is dropped is 20 m.
As the ball is dropped from certain height u = 0.
From the equations of kinematics, we know, v² - u² = 2 a s
where, v is the final velocity
u is the initial velocity
a is acceleration due to gravity
s is the height
Making v as subject, we have,
v² = u² + 2 a s
v = √(u² + 2 a s) = √(0+ 2 × 10 ×20) = 20 m/s
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At what temperature will a 1 m aqueous solution of KCL boil if the solute’s Kb is 2°C/m and the solvent’s Kb is 0.512°C/m? Hint: what does aqueous mean?
A. 1°C
B. 2°C
C. 101°C
D. 102°C
E. 104°C
At 102°C temperature will a 1 m aqueous solution of KCL boil if the solute’s Kb is 2°C/m.
The Kb values of the solvent and the solute can be used to calculate the boiling point of a 1 m aqueous solution of KCl. Aqueous denotes the presence of water in the solution. Due to the solute's presence, a solution's boiling point rises above the boiling point of the pure solvent. The concentration of the solute and the solvent's Kb value can be used to compute the boiling point elevation, Tb:
ΔTb = Kb × molality
where molality is the concentration of the solute in moles per kilogram of solvent. The molality of the solution can be calculated from its concentration in moles per liter:
molality = moles of solute / mass of solvent in kg
The mass of 1 L of water is approximately 1 kg. So, the molality of the solution is 1 m. The boiling point elevation due to the solute is:
ΔTb = Kb × molality = 2 × 1 = 2°C
The boiling point elevation due to the solvent is:
ΔTb = Kb × molality = 0.512 × 1 = 0.512°C
The boiling point of the solution is the boiling point of the pure solvent plus the boiling point elevations due to both the solute and the solvent:
Tb = Tb, pure solvent + ΔTb, solute + ΔTb, solvent
The boiling point of pure water is 100°C. So, the boiling point of the 1 m aqueous solution of KCl is:
Tb = 100 + 2 + 0.512 = 102.512°C
Therefore, the answer is D) 102°C.
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What Is the Density of Water g cm3?
1 g/cm3 Is the Density of Water g cm3 .
What is volume ?
Volume is a measure of the amount of space occupied by an object or a substance. It is a scalar quantity and is expressed in units such as cubic meters, cubic centimeters, liters, or gallons. Volume is an important physical quantity that is used to describe the size of objects and the amount of a substance contained within a container.
In mathematics, volume is often used to describe the amount of space enclosed by a three-dimensional object, such as a cube, sphere, or cylinder. The formula for the volume of a three-dimensional object depends on its shape, but common formulas include the volume of a cube (V = s^3), the volume of a sphere (V = 4/3 π r^3), and the volume of a cylinder (V = π r^2 h).
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two particles of charges q1 = 1.6 x 10-9 c and q2 = 3.6 x 10-9 c are on the x axis, 16 cm apart. find the distance along the x axis from q1 to the point where the net electric field is zero.
At 6.4 cm distance from charge q₁, the net electric field is zero, if q₁ = 1.6 × 10⁻⁹ C, and q₂ = 3.6 × 10⁻⁹ C.
Charge, q₁ = 1.6 × 10⁻⁹ C
Charge, q₂ = 3.6 × 10⁻⁹ C
The distance between them, d = 16 cm
The electric field will be zero at that point where electric fields created by both the charge will equal and opposite in direction, so they can cancel out each other.
Electric field, E = q/(4πε₀d²)
Let k = 1/(4πε₀), then E = kq/d²
Let x be the distance from the q₁, where electric field is zero.
So, kq₁/x² = kq₂/(16-x)²
(1.6 × 10⁻⁹)/x² = (3.6 × 10⁻⁹)(16-x)²
1.6(16² + x² - 32x) = 3.6x²
2x² + 51.2x - 409.6 = 0
On solving x = 6.4 cm and -32 cm
Ignoring the negative value, x = 6.4 cm is the distance where electric field will be zero
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Mars has a mass that is about one-ninth of Earth's and a radius that is about half of Earth's.
Part A
What is the ratio of the acceleration due to gravity on Mars to that on Earth?
Express your answer using one significant digit.
gMars/gEarth =
The acceleration due to gravity on Mars is about 0.025 g, where g is the acceleration due to gravity on Earth.
What are significant figures?Significant figures, also known as significant digits, are the meaningful digits in a measured or calculated value. They indicate the degree of precision of a measurement or calculation and include all digits that are known with certainty, plus one uncertain digit.
The acceleration due to gravity is proportional to the mass of the planet and inversely proportional to the square of its radius. Thus, the ratio of the acceleration due to gravity on Mars to that on Earth can be calculated as:
gMars/gEarth = (Mass of Mars) / (Mass of Earth) × (Radius of Earth)² / (Radius of Mars)²
Since the mass of Mars is one-ninth of the mass of Earth and the radius of Mars is half the radius of Earth, we can simplify the expression to:
gMars/gEarth = (1/9) × (1/2)² = 1/9 × 1/4 = 1/36
So, the acceleration due to gravity on Mars is about 1/36 of that on Earth. To express the answer using one significant digit, we can round to:
gMars/gEarth = 1/40
This means that the acceleration due to gravity on Mars is about 0.025 g, where g is the acceleration due to gravity on Earth.
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a student walks 1.0 kilometer due east and 1.0 kilometer due south. then she runs 2.0 kilometers due west. the magnitude of the student's resultant displacement is closestto
Answer: Its close to 1.4 km
Explanation: