The magnitude and direction of the electric field is 1.05×10^5N/C
The Electric Field is described as the electric force per unit charge.
E=[tex]\frac{F}{q}[/tex]
Here, F is an electric force,E is the Electric Field and q is a charge. charge is measured in coloumb.
For finding the magnitude, the expression can be use as follows,
E=[tex]\frac{F}{q}[/tex]
now put all the values given
F= 1.86x10^-14 N
q=1.6×10^-19C
E= 1.86x10^-14 N÷1.6×10^-19C
E=1.05×10^5N/C
Since the charged particle is positive electric field and Electric Field will have the same directions. Proton has positive charge hence here the direction of the electric field is the same as the direction of electric force. Hence towards South for both.To know more about Electric Field visit : https://brainly.com/question/26690770
#SPJ1
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
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
Read more about contact force
https://brainly.com/question/17597573
#SPJ1
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
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.
Learn more about chemical change at: https://brainly.com/question/23693316
#SPJ1
-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.
Learn more about Velocity here:
https://brainly.com/question/12904979
#SPJ1
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.
To get more information about Vector :
https://brainly.com/question/13322477
#SPJ1
When a projectile is released, why is there a change in speed in one dimension but not the other?
Answer choices
A. There can be only one force acting on an object at a time
B. A projectile only moves in one dimension.
C. A projectile only moves in two dimensions because it is thrown.
D. The force of gravity only acts in a downward direction
The change in the speed of a projectile is because the force of gravity only acts in a downward direction.
What is a projectile motion?A projectile motion is a type of motion, in which object thrown or projected into the air, is subject to only the acceleration of gravity as the only force.
How many dimension does a projectile move?A projectile motion is a motion that occurs in a plane. Motion in a plane is also referred to as a motion in two dimensions.
The reference point of a projectile motion will be the origin and the two coordinate axes X and Y.
What causes change in speed in one direction of a projectile motion?When an object is thrown upwards, the force of gravity tends to oppose the motion of the object, this causes the speed of the object to decrease and eventually become zero at the maximum height.
As the object begins to descend, the speed starts to increase because force of gravity is acting in the same direction as the object's motion.
Horizontal velocity of a projectile does not change, because force of gravity only acts in a downward direction.
Thus, the change in the speed of a projectile is because the force of gravity only acts in a downward direction.
Learn more about projectile motion here: https://brainly.com/question/1130127
#SPJ1
Just question 6 for this page. Tysm
6,240,000,000,000,000,000 electrons
Messages are sent through a variety of
Answer:
Messages are sent through a variety of : Messages
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
Learn more about electric force here:
https://brainly.com/question/28242547
#SPJ1
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.
Learn more about time here: https://brainly.com/question/17146782
#SPJ1
1. An object falls from the St. Louis Gateway Arch and hits the ground in 6 seconds.
The arch is 630 feet tall. Calculate the average speed of the falling object.
Answer:
H = Vav t
Vav = 630 ft / 6 sec = 105 ft/s
Check:
H = Vav * t = 105 ft/sec * 6 sec = 630 ft
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?
0.3200 volts
0.320 volts
0.32 volts
0.3 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
Learn more about voltage:
https://brainly.com/question/16204924
#SPJ1
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!
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.
To solve more questions on Kinematics, visit the link below-
https://brainly.com/question/28337635
#SPJ1
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.
Learn more about journal at: https://brainly.com/question/18684550
#SPJ1
if a car is resting at the top of a hill is suddenly pushed and sent rolling down the hill, what is the acceleration of the car if it arrives at the bottom of the hill 7 seconds later doing 35 m/s?
The acceleration of the car if it arrives at the bottom of the hill is a = 0.204 m/s².
Equation :Given data,
time = 7s
speed = 35 m/s
distance = ?
acceleration = ?
To find distance using the formula,
speed = d / t
d = s / t
d = 35 m/s / 7s
d = 5 m
To find acceleration using formula,
d = ut + 1/2at²
So putting the data in this formula we get,
5 = 0 x 7 + 1/2 a 7²
5 = 1/2 a 7²
a = 5 / (1/2 x 49)
a = 5 / 24.5
a = 0.204 m/s²
What means acceleration?Any process where the velocity changes is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
To know more about direction :
https://brainly.com/question/17238121
#SPJ9
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.
To know more about Schizophrenia visit:
https://brainly.com/question/23035586
#SPJ9
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
To learn more about speed refer the link:
https://brainly.com/question/7359669
#SPJ9
Which type of friction occurs when two objects slide past each other?
O fluid
O normal
O rolling
O sliding
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
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
Learn more about voltage:
https://brainly.com/question/16204924
#SPJ1
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.
Solve for h in PE = mgh.
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.
Learn more about Tension here:
https://brainly.com/question/24994188
#SPJ1
Explain where energy goes once it is used.
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.
To learn more about acceleration refer to:
https://brainly.com/question/460763
#SPJ
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
Learn more about average velocity here: https://brainly.com/question/24739297
#SPJ1
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
#SPJ1
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.