Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.
How do the kinetic energy of the light and heavy particles compare?Only when the average speed of the heavy particles is lower than that of the light particles will the average kinetic energy of the light particles equal the average kinetic energy of the heavy particles.
As the temperature rises, the particles accumulate kinetic energy and quicken. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.
Given that the formula for calculating a particle's kinetic energy is
Ek = 1/2 mu²,
The formula for particle speed is [tex]$$c = [3RT/M]^{1/2[/tex].
The graphs of kinetic energy and particle speed show that the heavier particles only have higher peaks, whilst the lighter particles only have lower peaks.
It is clear from the graphs and the temperatures employed that the graphs' shapes were nearly identical. It does not appear to be significantly impacted by temperature.
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Three boxes, A, B, and C, are placed on a frictionless surface as shown in the diagram below. If you push on box A with a force of 8.25 N, find the contact force (in N) between each pair of boxes. Here mA = 6.25 kg, mB = 3.25 kg, and mC = 1.50 kg. contact force between A and B N contact force between B and C N
The contact force (in N) between each pair of boxes is mathematically given as
F_{ab} = 3.56 N
F_{bc} = 1.2 N
What is the contact force (in N) between each pair of boxes.?Generally, Any force that is generated as a consequence of two objects coming into touch with one another is referred to as a contact force. Contact forces are present everywhere and are the cause of the vast majority of macroscopic groupings of matter's obvious interactions with one another.
In conclusion, The equation for is Acceleration of the system is mathematically given as
a = 8.25 / (5.85 + 2.95 + 1.50)
a= 0.8 m/s^2
Therefore
F_{ab} = (Mb + Mc)*a
F_{ab} = (2.95 + 1.50) * 0.8
F_{ab} = 3.56 N
F_{bc} = Mc * a
F_{bc}= 1.5 * 0.8
F_{bc} = 1.2 N
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A person holds a 0.300 kg pomegranate at the top of a tower that is 96 m high. Another person holds a 0.800 kg melon next to an open window 32 m up the tower.
Calculate the gravitational potential energies of the melon and the pomegranate. Which one has more potential energy?
1. The potential energy of the pomegranate is 282.24 J
2. The potential energy of the melon is 250.88 J
3. The pomegranate has more potential energy
What is potential energy?This is the energy possesed by an object by virtue of it's position. It is expressed mathematically as
Potential energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)
PE = mgh
With above formula, we can determine the potential energy as follow:
1. How to determine the potential energy of the pomegranate
Mass (m) = 0.3 kgHeight (h) = 96 mAcceleration due to gravity (g) = 9.8 m/s² Potential energy (PE) = ?PE = mgh
PE = 0.3 × 9.8 × 96
PE = 282.24 J
2. How to determine the potential energy of the melon
Mass (m) = 0.8 kgHeight (h) = 32 mAcceleration due to gravity (g) = 9.8 m/s² Potential energy (PE) = ?PE = mgh
PE = 0.8 × 9.8 × 32
PE = 250.88 J
From the calculations made above, the pomegranate has more potential energy.
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What is work? What is energy? How is energy related to work?
The amount of energy transferred by the force for the movement of an object is called work or work done.
What is work? What is energy? How is energy related to work?
Work:
Work is the force applied due to which it can travel distance. In physics the work done is defined as if a body exerts a force on an object and the objects travel some distance due to this force then it is called work. However in our daily life if we take a book while standing, so we think that we done a work but it can not be work in physics.
The formula of the work is;
W=Fs
Energy:
Energy is defined as the ability of the body to do work is known as energy. Its meaning is very simple and easy energy is just like the force that causes things to move.
Further the energy is divided into two parts kinetic energy and potential energy.
The formula of energy is E = mc2, which is developed by the Albert Einstein.
Relation Between Work And Energy:
We can transferred the energy to an object for moving it. The transferring energy maybe in the form of force. This amount of energy transferred by the force to move an object is called work or work done.
So we can conclude that the amount of energy transferred by the force for the movement of an object is called work or work done.
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What was the arms race?
A. Competition to gain allies in Europe and Asia as quickly as possible
B. Competition to build more increasingly powerful weapons
C. Race to be the first nation into outer space
travels at
a speed of 80 m/s. It has an estimated mass of 480,000.0 kg. What is the maximum
KE of this train ?
Answer:
KE= 1,536,000,000 Joules
Explanation:
The equation to find Kinetic Energy (KE) is
[tex]KE=\frac{1}{2}mv^{2} \\[/tex]
You are given
m=480,000.0 kg
v= 80 m/s
Substitute the values into the equation and solve for KE
[tex]KE= \frac{1}{2}* 480000*80^{2}[/tex]
KE= 1,536,000,000 Joules
28). A block weighs 90N and 80N respectively in air and in water. What will be the weight of the block in a brine of density 1.2g/cm?
Answer:
Buoyant force = g M / V * V = g d V where d is the mass / volume (density)
Fw = g * Vw * dw buoyant force of water on block (10 N)
Fbr = g * Vw * dbr buoyant force of brine on block
Fbr / Fw = 1.2 buoyant force of brine is 1.2 times that of water
Buoyant force of brine = 10 * 1.2 N = 12 N
Thus, the block will weight 90 - 12 = 78 N submersed in brine
in object in motion tend to stay in motion in object in rest tends to stay in rest. "many years before newton wrote this law,__________stated the same idea as the principal of _______.
An object in motion tends to stay in motion in an object in rest tends to stay in rest. "many years before newton wrote this law, Galileo's the same idea as the principle of inertia.
This is further explained below.
What is inertia?Generally, When an item experiences inertia, it keeps moving in the same direction or at the same pace until another force changes it.
The phrase "the principle of inertia" as it is used in Newton's first rule of motion is correctly interpreted as the word "inertia."
In conclusion, The concept of inertia was first proposed by Galileo many years before Newton codified it as "an object in motion tends to remain in motion whereas an object in rest tends to stay in rest."
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A ball is dropped from the second floor and falls. What are the signs of the ball's
velocity and acceleration?
A ball is dropped from the second floor and falls then the ball's velocity is positive and acceleration is negative.
Deceleration, sometimes referred to as negative acceleration, is the phenomenon of an object's velocity steadily decreasing over time. Deceleration is merely the reverse of acceleration, to put it simply.It is described as the speed at which an item in motion slows down. The difference between an object's initial velocity and final velocity can be used to calculate deceleration. As the velocity is dropping, the result will be added with a negative sign. The negative acceleration may be calculated using the acceleration formula, however the outcome must have a negative sign.To know more about acceleration visit : https://brainly.com/question/20382454
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A spring-loaded gun shoots a 0.0050-kg bullet vertically upward with an initial velocity of 21 m/s, What is the height of the bullet 4.0 s after firing
The height of the 0.0050 Kg bullet 4 s after firing is 78.4 m
We'll begin by listing the given parameters from the question. This is given below:
Mass of bullet (m) = 0.0050 KgInitial velocity (u) = 30 m/sAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 4 sHeight (h) =? How do I determine the height after 4 s?The height of the bullet after 4 s can be obtained as follow:
h = ½gt²
h = ½ × 9.8 × 4²
h = ½ × 9.8 × 16
h = 4.9 × 16
h = 78.4 m
From the calculation made above, we can conclude that the the height of the bullet after 4 s of firing is 78.4 m
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Which type of friction occurs when two objects slide past each other?
O fluid
O normal
O rolling
O sliding
A box slides across a frictionless horizontal surface with constant acceleration 4.70 m/s2 and over a time interval reaches a final velocity of 13.0 m/s. (a) If its initial velocity is 6.50 m/s, what is its displacement (in m) during the time interval?
The displacement of the box is obtained as 13.48 m along the horizontal surface.
What is the displacement?Let us recall that the displacement is the distance covered in a specific direction. The displacement is a vector quantity because it has both magnitude and direction.
In this case, we want to obtain the displacement of the box when;
Initial velocity u = 6.50 m/s
final velocity v = 13.0 m/s
Acceleration a = 4.70 m/s2
Now;
v^2 = u^2 + 2as
s = v^2 - u^2 /2a
s = (13)^2 - (6.5)^2/ 2 (4.70)
s = 126.75/9.4
s = 13.48 m along the horizontal surface
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Please show a step-by-step, just trying to catch up on Forces in correlation with Newton's Laws.
The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.
What is free body diagram (FBD) ?A free body diagram or known as FBD is a diagrammatic representation of all the forces acting on the body at the moment without taking into consideration the surrounding of the object.
What is tension?Tension is a vector quantity which is a manifestation of force in string or wire a tension is always a pulling force.
Given:
Mass of the lady = 51 kg
Acceleration due to gravity= 9.8 u
Distance between the two buildings= 13m
The given situation is an example of balance force in which the sin component of the tension in the high wire is balancing the weight of the lady
Weight of the lady = m × g
Where,
T is tension in the high wire
m the mass of the lady
g is acceleration due to gravity
Weight of the lady = 51 × 9.8
Weight of the lady = 499.8
According to the question-
T × sin 10° = m × g
T × 0.1736 = 499.8×9.8
T = 2879 newton
Therefore, The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.
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A
bultet
is fired from a gun
with a horizontal velocity of 20 msl.
From a height of 120m Calc the speed
at which the buttet will touch the ground.
Lbane 9 = 10 ms. 2]
The correct answer is 97.8 m.
The speed of an object is the rate at which it travels from one place to another in a set period of time. Since it only describes the amplitude of an object's motion and not its direction, it is a scalar quantity. The S.I. unit of speed is m/s.
Initial horizontal velocity u = 20 ms^-1
height, y = 120m
To cover 120m time taken be t sec,
now taking, g = 10 m/s^2
y = 1/2 g t^2
t^2 = 2y / g
t^2 = (2 × 120) / 10
t^2 = 240 / 10
t^2 = 24 s
t = √24
t = 4.89 sec
In 1 sec distance covered is,
x = ut
x = 20 × 4.89
x = 97.8 m
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How might writing an online journal be different than writing in a paper one?
A. It's ok to talk badly about people in an
online journal.
O B. It's easier to communicate online.
O C. You should expect less privacy.
O D. You should expect more privacy.
Writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online (option B).
What is a journal?A journal is a newspaper or magazine dealing with a particular subject.
A journal is an efficient medium to communicate the findings or results of an investigation to the public.
However, a journal can be virtual (online) or paper (hard copy). In this 21st century, it is easier to communicate to the masses online because more audience will be captured.
Therefore, writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online.
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There is one exception to the rule that waves don't move matter. What is it?
A
When ocean waves push water onto the shore.
B
When a fish swims through a lake or pond.
C
When a seagull is floating on the ocean's water.
D
When lightning makes the sound of thunder move.
Answer:
Sound waves/vibrations move matter in the form of air particles
Explanation:
Sound waves/vibrations move matter in the form of air particles which is how sound propagates, so that could be an exception to the rule. However, you could say water waves move matter too.
-a. Find the speed required to throw a ball
straight up and have it return 6 seconds later.
Neglect air resistance.
b. How high does the ball go?
The speed required would be 60 m/s to throw a ball straight up and the ball goes 180 meters high.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
t = 6 sec for the first path, which is when the ball is elevated to its highest point.
Neglect air resistance.
So, v = u + at
Here, v = 0
⇒ u - 10 × 6 = 0
Hence, u = 60 m/s
Now, s = ut + 1/2×a×t²
So, s = 60× 6 - 0.5 × 10 × 36 = 360 – 180 = 180 m
Therefore, the speed required would be 60 m/s to throw a ball straight up and the ball goes 180 meters high.
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Question 4
3 tries left
Malcolm's mother has schizophrenia, as does his cousin. Malcolm fears he has inherited the
"schizophrenic gene" and will develop schizophrenia. Which of the following statements best reflects
current scientific understanding of the role of genetics in the likelihood of Malcolm developing
schizophrenia?
OA. Genetic factors create a predisposition or likelihood-not a certainty-that certain
behaviors or disorders will develop.
OB. Current research suggests that there is a cluster of genes that define whether or not an
individual will develop schizophrenia.
OC. The presence of a supportive father in the home will eliminate the possibility of Malcolm
developing schizophrenia.
OD. Proper nutrition and exercise can prevent the expression of schizophrenic genes.
Submit
Malcolm's mother has schizophrenia, as does his cousin. Malcolm fears he has inherited the "schizophrenic gene" and will develop schizophrenia. Genetic factors create a predisposition or likelihood-not a certainty-that certain behaviors or disorders will develop.
What affects a person with schizophrenia?Schizophrenia is a severe mental illness that causes its victims to perceive reality in peculiar ways. Schizophrenia can result in severely illogical thinking and behavior, incapacitating hallucinations, and delusions that make it difficult to carry out daily chores.
Is schizophrenia curable?Even though there is no known cure for schizophrenia, it is controllable and controlled with medication and behavioral therapy, especially when it is identified and treated early.
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dylan has made two different chemical batteries for a physics project. he is measuring how much voltage the batteries each produce. the first battery produces 3.12 volts and the second battery produces 2.8 volts. using the correct number of significant figures how much greater was the voltage produced by the first battery compared to the second?
0.320 volts
0.3 volts
0.32 volts
0.3200 volts
The voltage produced by the first battery is 0.32 volt greater when compared to the voltage produced by the second battery
Data obtained from the questionFrom the question given above, the following data were obtained:
Voltage produced by the first battery = 3.12 voltsVoltage produced by the second battery = 2.8 voltsHow great is the voltage of first =?How to determine how great the voltage of the first battery isWe can obtain how great the voltage of the first battery is compared to the voltage if the second battery as follow:
How great is the voltage of first = Volatge of first - voltage of second
How great is the voltage of first = 3.12 - 2.8
How great is the voltage of first = 0.32 volt
Thus, the voltage of the first battery is greater than the voltage of the second battery by 0.32 volt
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do I need licenses or any type of thing to hunt pigeons
Answer:
They can be hunted, captured, and taken anytime in the United States without a permit.
Explanation:
Pigeons are not considered game birds.
Picture is question i need help as soon as possible
Answer:
32.7 m
Explanation:
If it is in the air for 5.16 s the highest point is at one-half of this time
= 5.16/2 = 2.58 s <====== at this point velocity = zero
vf = vi + at
0 = vi - 9.8 (2.58) shows vi = 25.3 m/s
d = vi t + 1/2 at^2
= 25.3 (2.58) - 1/2 (9.8) (2.58^2 ) = max height = 32.7 meters
In an experiment a student adds baking soda to vinegar and observes that a large amount of gaseous carbon dioxide is released what is the scientific reason for this change
The scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.
What is a chemical change?A chemical change is any process in which reactants are changed into products by the breaking or creation of chemical bonds.
In a chemical change, the chemical bonds in the reactants are broken and rearranged to form new substances called products. One of the evidences that a chemical change has occurred is gas evolution.
According to this question, a student adds baking soda to vinegar and observes that a large amount of gaseous carbon dioxide is released.
Therefore, it can be said that the scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.
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a car initially traveling at 15m/s accelerates at a constant rate of 4.5 m/s^2 over a distance of 45m. How long does it take the car to cover this distance?
The time it takes the car to cover the distance is 0.45 seconds
What is time?Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
To calculate the time it takes the car to cover the distance, we need to find the final velocity first using the formula below
Formula:
v² = u²+2as.......... Equation 1Where:
v = Final velocityu = Initial velocitys = Distancea = Acceleration.From the question,
Given:
u = 15 m/sa = 4.5 m/s²s = 45 mSubstitute these values into equation 2
v² = 15²+2×45×4.5v² = 225+405v² = 630v = 25.1 m/s.Finally, to calculate the time, we use the formula below.
t = (v+u)/2s........ Equation 2t = (15+25.1)/(2×45)t = 40.1/90t = 0.45 secondsHence, the time it takes the car to cover the distance is 0.45 seconds.
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4. Three masses are connected by a light string that passes over a
frictionless pulley as shown. (a) What is the acceleration of the .
system? (b) What are the tensions in the strings?
m.
Three objects are connected by light threads. The object weighing 5.00 kg and the object weighing 4.00 kg are connected by a string.
What distinguishes strings from acceleration?acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. The pulling force transmitted axially by a string, cable, chain, or other similar one-dimensional continuous object, or by each end of a rod, or another similar three-dimensional object, is referred to as tension. The action-reaction pair of forces acting at the ends of the aforementioned elements can also be used to describe tension.
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50 POINTS!
Question:
Two buses A and B are at positions 60 m and 160 m from the origin at time t = U They start moving in the same direction simultaneously with uniform speed 54 km h-¹ and 36 km h-¹. Determine the time and position at which A overtaken B.
.......
I have solution available but due to less explanation I am unable to understand so please provide PROPER EXPLANATION.
Thanku!
Spam/Palagrised answers will be reported, so please ignore if you don't know. Thanks!
Answer:
20 seconds
360 meters
Explanation:
On a distance-time graph:
x-axis = time (in seconds)y-axis = distance (in meters)Therefore:
The starting position (when t = 0) is the y-intercept.The speed of the object (in m/s) is the gradient of the line. Bus AConvert Bus A's given speed of 54 km/h into m/s by dividing by 3.6:
[tex]\implies \sf 54\; km/h=\dfrac{54}{3.6}=15\:m/s[/tex]
Therefore:
At t = 0, Bus A is at 60 m from the origin.It moves with a uniform speed of 15 m/s.So the y-intercept is (0, 60) and the gradient is 15.
Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus A:
[tex]\boxed{y=15x+60}[/tex]
Bus BConvert Bus B's given speed of 36 km/h into m/s by dividing by 3.6:
[tex]\implies \sf 36\; km/h=\dfrac{36}{3.6}=10\:m/s[/tex]
Therefore:
At t = 0, Bus B is at 160 m from the origin.It moves with a uniform speed of 10 m/s.So the y-intercept is (0, 160) and the gradient is 10.
Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus B:
[tex]\boxed{y=10x+160}[/tex]
SolutionTo find the time when Bus A is at the same position as Bus B, substitute Bus A's equation into Bus B's equation and solve for x:
[tex]\implies 15x+60=10x+160[/tex]
[tex]\implies 15x+60-10x=10x+160-10x[/tex]
[tex]\implies 5x+60=160[/tex]
[tex]\implies 5x+60-60=160-60[/tex]
[tex]\implies 5x=100[/tex]
[tex]\implies \dfrac{5x}{5}=\dfrac{100}{5}[/tex]
[tex]\implies x=20[/tex]
Therefore, the two buses are at the same position 20 seconds after they start moving.
To find their position at this point, substitute x = 20 into one of the equations and solve for y:
[tex]\implies y=10(20)+160[/tex]
[tex]\implies y=200+160[/tex]
[tex]\implies y=360[/tex]
Therefore, the two buses are at the same position at 360 m from the origin.
ConclusionBus A overtakes Bus B 20 seconds after they start moving and at 360 m from the origin.
How is the vector arrow representing an acceleration of magnitude 3 m/s2 different from the vector arrow representing a negative acceleration of magnitude 3 m/s2?
Question 11 options:
They point in opposite directions.
They are perpendicular, forming a 270° angle between each other.
They are perpendicular, forming a 90° angle between each other.
They point in the same direction.
The vector arrow representing an acceleration of magnitude 3 m/s² and different from vector arrow representing a negative acceleration of magnitude 3 m/s² so they are perpendicular forming a 90-degree angle between each other. Hence, option C is correct.
What is a Vector?A vector has both magnitude and direction. It is frequently depicted as an arrow with a length proportionate to the magnitude and a direction matching the magnitude of the quantity. A vector lacks position, but possesses magnitude and direction. In other words, if a vector is shifted parallel to itself, its shape remains unchanged as long as its length remains constant.
According to the question,
The acceleration of magnitude 3 m/s² and different form the vector arrow representing a negative acceleration of magnitude 3 m/s².
Hence, they are perpendicular, forming a 90-degree angle between each other.
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A common practice used by IT professionals to ensure web safety is to conduct
regular training sessions with users to remind them of the threats that exist on the
web.
True
False
This is true, A common practice used by IT professionals to ensure web safety is to conduct regular training sessions with users to remind them of the threats that exist on the web.
What is information technology?
Information technology (IT) is the activity of using computers to generate, process, store, retrieve, and exchange different kinds of data and information. IT is typically employed in the context of business activities, as opposed to personal or recreational technology. IT is a component of information and communications technology (ICT). An information technology system (IT system) is often an information system, a communications system, or—to be more precise—a computer system, replete with all add-on hardware, software, and peripherals, that is used by a sparsely populated IT user base.
Internet safety is the activity of adhering to practical standards, comprehending contemporary technology, and safeguarding your electronic gadgets so you can fight off the bad elements of the online world. the sessions about internet safety or web safety is commonly taken by IT professional for the users.
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What type of heat transfer is melting ice in your hand
Answer:
Convection!
Explanation:
This is convection because, when the air touches the ice cube it gets cooler, moves up, and drags in the fresh air to be cooled down once again. This cycle continues until the whole ice cube had been melted!
A skater skates west 60.0 m across a frozen river and realizes she has dropped her scarf. She skates back east 30.0 m to pick up her scarf, then 30.0 m west back to the other side. If she skates for 8.0 minutes, what is the skater’s average velocity? What is her average speed?
The skater’s average velocity is determined as 0.125 m/s.
The skater's average speed is determined as 0.25 m/s.
What is average velocity?
The average velocity of an object is the rate of change of total displacement with time of motion.
average velocity = total displacement / total time of motion
total displacement of the skater = final position - initial position
total displacement of the skater = 60 m - 0 m = 60 m
total time of motion = (8 mins) x (60 s / mins) = 480 seconds
average velocity = 60 m / 480 s
average velocity = 0.125 m/s²
What is average speed?The average speed of an object is the ratio of total distance to total time of motion.
average speed = total distance / total time
average speed = (60 m + 30 m + 30 m) / 480 s
average speed = 0.25 m/s
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The figure below shows a small, charged bead, with a charge of q = +37.0 nC, that moves a distance of d = 0.192 m from point A to point B in the presence of a uniform electric field E of magnitude 285 N/C, pointing right.
What is the magnitude (in N) and direction of the electric force on the bead?
What is the work (in J) done on the bead by the electric force as it moves from A to B?
What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.)
What is the potential difference (in V) between A and B?
a. The magnitude of the electric force on the bead is 1.0545 × 10⁻⁵ N and its direction is to the right.
b. The work done on the bead is 2.025 × 10⁻⁶ J
c. The change in electric potential energy (in J) as the bead moves from A to B is -2.025 × 10⁻⁶ J
d. The potential difference (in V) between A and B is -60 V
a. What is the magnitude (in N) and direction of the electric force on the bead?The magnitude of the electric force on the charge is given by F = qE where
q = charge on bead = +37.0 nC = +37.0 × 10⁻⁹C and E = magnitude of electric field = 285 N/CSo, substituting the values of the variables into the equation, we have
F = qE
F = 37.0 × 10⁻⁹C × 285 N/C
= 10545 × 10⁻⁹ N
= 10.545 × 10⁻⁶ N
= 1.0545 × 10⁻⁵ N
Since the electric field is pointing to the right and the charge is positive, so, the direction of the electric force is to the right.
So, the magnitude of the electric force on the bead is 1.0545 × 10⁻⁵ N and its direction is to the right.
b. What is the work (in J) done on the bead by the electric force as it moves from A to BThe work done on the bead by the electric force is W = Fd where
F = electric force = 1.0545 × 10⁻⁵ N and d = distance moved by bead = 0.192 mSo, substituting the values of the variables into the equation, we have
W = Fd
= 1.0545 × 10⁻⁵ N × 0.192
= 2.02464 × 10⁻⁶ J
≅ 2.025 × 10⁻⁶ J
So, the work done on the bead is 2.025 × 10⁻⁶ J
c. What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.)From work-energy principles, the work done by the bead, W equal the change in electric potential energy of the bead ΔU.
ΔU = -W
Since W = 2.025 × 10⁻⁶ J
ΔU = -W
= -2.025 × 10⁻⁶ J
So, the change in electric potential energy (in J) as the bead moves from A to B is -2.025 × 10⁻⁶ J
d. What is the potential difference (in V) between A and B?The potential difference between A and B is given by ΔV = ΔU/q where
ΔU = electric potential energy change = -2.025 × 10⁻⁶ J and q = charge on bead = +37.0 × 10⁻⁹CSo, substituting the values of the variables into the equation, we have
ΔV = ΔU/q
ΔV = -2.025 × 10⁻⁶ J/37.0 × 10⁻⁹C
= -0.06 × 10³ V
= -60 V
So, the potential difference (in V) between A and B is -60 V
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What is the speed of 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours, and 30. minutes?
The speed of 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes is 5.714 miles/hr.
What is Speed?Speed is defined as the rate of change of distance travelled with respect to time. Mathematically -
s = Δd/Δt
Given in the question is a 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes. From this we can write-
Distance [d] = 100 miles
Time [t] = 17.5 hours
Mzwakhe Khanyile started running from d = 0 miles at time t = 0 hr.
The speed of Mzwakhe Khanyile will be -
s = Δd/Δt
s = (100 - 0)/(17.5 - 0)
s = 100/17.5
s = 5.714 miles/hr
Therefore, the speed of 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes is 5.714 miles/hr.
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