Complete Question
Two electrons, each with mass m and charge q, are released from positions very far from each other. With respect to a certain reference frame, electron A has initial nonzero speed v toward electron B in the positive x direction, and electron B has initial speed 3v toward electron A in the negative x direction. The electrons move directly toward each other along the x axis (very hard to do with real electrons). As the electrons approach each other, they slow due to their electric repulsion. This repulsion eventually pushes them away from each other.
A) Which of the following statements about the motion of the electrons in the given reference frame will be true at the instant the two speeds reach their separations?
A) Electrons A is moving faster than electron B.
B) Electron B is moving faster than electron A.
C) Both electrons are moving at the same (nonzero) speed in the opposite direction
.D) Both electrons are moving at the same (nonzero) speed in the same direction.
E) Both electrons are momentarily stationary.
2) What is the minimum separation[tex]r_{min}[/tex] that the electrons reach?
Answer:
1
The correct option is E
2
[tex]r_{min} = \frac{kq^2}{4 mv^2}[/tex]
Explanation:
From the question we are told that
The mass of each electron is m
The charge of each electron is q
The speed of electron A is v
The speed of electron B is 3v
Generally at their point of separation the repulsion force is equal to the force that is propelling the electrons due to this the electrons are momentarily stationary
Generally the total initial kinetic energy of both electron is mathematically represented as
[tex]K_{inT} = K_A + K_B[/tex]
=> [tex]K_{inT} = \frac{1}{2}m (v)^2 + \frac{1}{2} m (3v)^2[/tex]
=> [tex]K_{inT} = \frac{1}{2} (mv^2 + 9v^2m)[/tex]
=> [tex]K_{inT} = 5mv^2 [/tex]
Generally the total final kinetic energy of both electron is mathematically represented as
[tex]K_{fT} = \frac{1}{2} *m * v^2 + \frac{1}{2} *m * v^2[/tex]
Here v is the velocity due to the repulsion force
[tex]K_{fT} = mv^2 [/tex]
Generally the final potential energy of the both electrons is
[tex]P_f = \frac{ k * q^2}{r_{min}}[/tex]
Here k is the coulombs constant
So according to energy conservation law
[tex]K_{inT} = K_{fT} + P_f[/tex]
=> [tex]5mv^2 = mv^2 + \frac{ k * q^2}{r_{min}} [/tex]
=> [tex]r_{min} = \frac{kq^2}{4 mv^2}[/tex]
1. A rock is falling downwards at 12.0 m/s. After 2.0 seconds it is falling at downwards at
31.6 m/s. What was its acceleration?
Answer:
a = 9.8 m/s²
Explanation:
Here, we will use the first equation of motion to determine the acceleration of the falling rock. The first equation of motion is written as follows:
Vf = Vi + at
where,
Vf = Final Velocity of the falling rock = 31.6 m/s
Vi = Initial Velocity of the falling rock = 12 m/s
a = acceleration = ?
t = time interval = 2 s
Therefore,
31.6 m/s = 12 m/s + a(2 s)
a = (31.6 m/s - 12 m/s)/(2 s)
a = 9.8 m/s²
Given:
Final velocity, [tex]V_f = 31.6 \ m/s[/tex]Initial velocity, [tex]V_i = 12 \ m/s[/tex]Time, [tex]t = 2 \ seconds[/tex]We know the relation,
→ [tex]V_f = V_i +at[/tex]
By substituting the values,
[tex]31.6 = 12+a(2)[/tex]
[tex]a = \frac{31.6-12}{2}[/tex]
[tex]= \frac{19.6}{2}[/tex]
[tex]= 9.8 \ m/s^2[/tex]
Thus the answer above is correct.
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Scientists often work on projects for a long time and fail to see sources of error in their research. Which process allows an outside expert to look at the scientist's project and point to sources of error?
Answer:
Peer Review
Explanation: I took the test
A force that tends to pull an object towards the center of the earth is?
Explanation:
Gravitational force
How does increasing the amount of charge on an object affect the electric force it exerts on another charged
object?
The electric force increases because the amount of charge has an indirect relationship to the force.
The electric force increases because the amount of charge has a direct relationship to the force.
The electric force decreases because the amount of charge has an indirect relationship to the force.
The electric force decreases because the amount of charge has a direct relationship to the force.
Answer:
the electric force increases because the amount of charge has a direct relationship to the force
Increasing the amount of charge on an object will increase the electric force it exerts on another charged object because the amount of charge has a direct relationship to the force. Therefore, option (B) is correct.
How to calculate the charge on an object?Mathematically, the amount of charge on an object due to the effect of the force that is exerted on it can be calculated by using the formula mentioned below:
F = E×q
Where F is the electric force, E is the energy, and q is the charge.
The electric force between charged particles at rest is known as electrostatic force. The magnitude of the electric force between point charges is directly proportional to the multiplication of the charges and inversely proportional to the distance between them.
Therefore, increasing the amount of charge on an object would increase the electric force because the amount of charge has a direct relationship with the force.
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ANSWER NOW PLS
Given the following images, choose the one that most likely represents an M-class star.
Star A is a yellow star. Star B is a blue star. Star C is a red star. Star D is a green star.
A
B
C
D
Vectors A and B lie in the xy ‑plane. Vector A has a magnitude of 17.1 and is at an angle of 150.5∘ counterclockwise from the +x ‑axis. Vector B has a magnitude of 28.1 and is 205.3∘ from the +x ‑axis. Resolve A and B into components, and express using ???????????? unit vectors,
A =Ax????+Ay????+Az????
B =Bx????+By????+Bz????
where Ax, Ay, Az and Bx, By, and Bz are the calculated values of the x ‑, y ‑, and z ‑components of vectors A and B , respectively.
Answer:
A = -14.87 i ^ + 8.42 j ^ + 0 k ^
B = -25.41 i ^ -12.0 j ^ + 0 k ^
Explanation:
For this exercise let's use trigonometry by decomposing to vectors
vector A
module 17.1 with an angle of 150.5 counterclockwise.
Sin 150.5 = [tex]A_{y}[/tex] / A
cos 150.5 = Ax / A
A_{y} = A sin 150.5 = 17.1 sin 150.5
Aₓ = A cos 1505 = 172 cos 150.5
A_{y} = 8,420
Aₓ = -14.870
the vector is
A = -14.87 i ^ + 8.42 j ^ + 0 k ^
Vector B
[tex]B_{y}[/tex] = 28.1 sin 205.3
Bₓ = 28.1 cos 205.3
B_{y} = -12.009
Bₓ = -25.405
the vector is
B = -25.41 i ^ -12.0 j ^ + 0 k ^
A beam of charged particles moving with a speed of 106 m/s enters a uniform magnetic field of 0.1 T at right angles to the direction of motion. If the particles move in a radius of 0.2 m, then calculate their period of motion.
Answer:
The period of motion is 1.26x10⁻⁶ s.
Explanation:
The period of motion can be found as follows:
[tex] \omega = \frac{2 \pi}{T} [/tex]
Where:
ω is the angular speed
T is the period
The angular speed is related to tangential speed (v):
[tex] v = \omega r [/tex]
r is the radius
Hence, the period is:
[tex] T = \frac{2 \pi r}{v} = \frac{2 \pi 0.2 m}{10^{6} m/s} = 1.26 \cdot 10^{-6} s [/tex]
Therefore, the period of motion is 1.26x10⁻⁶ s.
I hope it helps you!
A 45 Kg object is given a net force of 500 n what is its approximate acceleration
The acceleration of the object is 11.11 m/[tex]s^2[/tex] (approximately).
What is acceleration?The rate of change of velocity of a body with respect to time is known as acceleration. Due to having both magnitude and direction, it is a vector quantity having SI unit m/s^2.
Given parameter,
The mass of the object, m = 45 Kg.
Net force acting on the object, F = 500 N.
Acceleration of the object, a= ?
From Newton's 2nd law of motion,
Force = mass × acceleration
⇒ F = ma
⇒ a = F/m
= 500 N /45 Kg
= 11.11 m/s^2. (approximate)
Hence, the approximate value of acceleration of the object, a = 11.11 m/s^2.
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A 3-column table with 4 rows. The first column titled substances has entries aluminum, zinc, chromium, nickel. The second column titled density has entries 2.70 grams per centimeter cubed, 7.13 grams per centimeter cubed, 7.18 grams per centimeter cubed, 8.90 grams per centimeter cubed. The third column titled mass has entries 4.60 grams, 9.81 grams, 6.24 grams, 3.17 grams.
Use the information in the table to identify the metal with a volume of 1.38 cm3.
aluminum
zinc
chromium
nickel
Answer:rhe answer is zink
Explanation:i got he anwer rong and it say that one was right it is in ed geunity :)
Answer:
The answer is Zinc on Edegenuity.
Explanation:
Kristine wants to maesure the mass and volume of the key which tools should she use
What happens when a proton is placed directly in the path of the proton cannon?
Answer:coherent light
Explanation:
{Earth science} I give brainly!*
Please select the word from the list that best fits the definition
used as evidence for sea-floor spreading
Options~
Magma
Seismograph
Global positioning system
Fossils
Rift zones
Magnetic reversal'
*I only give brainly if you are right lol
Answer:
The answer is magma
Explanation:
I'm 99.99% this is right
Answer: its magnetic reversal
Explanation: jus took the test make brainly
Which formations are created by wave erosion?
a) Barrier beaches
b) Sandbars
c) Spits
d) Stacks
Answer:d) Stacks
Explanation: A stack or sea stack is a geological landform consisting of a steep and often vertical column or columns of rock in the sea near a coast, formed by wave erosion. Stacks are formed over time by wind and water, processes of coastal geomorphology.
Using a streak test on a mineral that is harder than 7 on Mohs scale would not be very useful True or False
Fracture is the way minerals break along smooth planes of weakness. True or False
Cleavage is the way minerals break with uneven, jagged or rough surfaces True or False
The way light reflects off a mineral is called transparency. True or False
Minerals are the building blocks of rocks. True or False
Mohs scale measures a mineral’s streak. True or False
Color is the most reliable test for identifying a mineral. True or False
Answer: True true false true
Explanation:
Two cars approach one another on opposing lanes of a highway. Car 1 is traveling north at a velocity of 80 km/h and car 2 is traveling south at a velocity of 140 km/h. What is the magnitude of the velocity of car 1 relative to car 2?
Answer:
220 km/hr
Explanation:
A person in a lab wants to make a car accelerate faster. Should the person:
O decrease the mass
o increase the mass
O lower the force
Answer:
Decrease the mass.
Explanation:
By Newton's Second Law we know that net force exerted on a given system equals the rate of change of linear momentum ([tex]P[/tex]) in time.
[tex]F = \frac{dP}{dt}[/tex] (Eq. 1)
When mass of the system has a constant mass, this net force ([tex]F[/tex]) is reduced to its mass ([tex]m[/tex]) multiplied by acceleration ([tex]a[/tex]):
[tex]F = m\cdot a[/tex] (Eq. 2)
If we keep net force exerted on system constant, then a decrease on mass is compensated by an increase in acceleration. Hence, correct answer is: Decrease the mass.
A 1.50-m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a constant potential difference of 15.0 V across its ends, while an ammeter measures the current through it. We observe that at room temperature (20.0°C) the ammeter reads 18.5 A, while at 92.0°C it reads 17.2 A. We can ignore any thermal expansion of the rod. Find
a. the resistivity at 20.0°C and
b. the temperature coefficient of resistivity at 20.0°C for the material of the rod.
Answer:
a) 1.06*10^-5
b) 0.00105 °C^-1
Explanation:
Given that
Length of the cylinder, L = 1.5 m
Radius of the cylinder, r = 0.25 cm
Voltage across the rod, V = 15 V
I• at Temperature T• = 20° C is 18.5 A
I at Temperature T = 90° C is 17.2 A
See attachment for calculations
A square boat with a mass of 544 g is placed in a tank of corn syrup. The corn syrup has a density of 1.36 g/mL. The boat has a base that measures 8 cm by 8 cm. How far will the boat sink into the corn syrup?
A. 4.17 cm
B. 6.25 cm
C. 8.50 cm
D. 11.56 cm
Answer:
B
Explanation:
Please tell me which on it is!
Answer
.0003
Explanation:
An object has a mass of 4kg. What is its weight (in Newton) on Earth?
Answer:
mass of an object = 4kg
acceleration due to gravity on earth = 9.8 m/s²
therefore , weight of an object on earth = Mass × gravity
=> weight = 4×9.8 => 39.2 N
since , weight is a force we measure it in newtons
Which refers to the density of the medium’s particles at the compression of a sound wave?
amplitude
pitch
volume
wavelength
Answer:
The answer is A
Answer:
A. amplitude
Explanation:
Please Help:)
How to draw two vectors being added:
Explanation:
you add the from head to tail. Head is the triangle and tail is the final point of the vector
A force of 20 N is inclined at 30 degrees to the X axis. What are X and Y components of the force?
Answer: 10 root 3 N, 10N
Explanation:
Describe how an electric bell works
Answer: Google: An electric bell is a mechanical or electronic bell that functions by means of an electromagnet. ... When an electric current flows through the coils, the electromagnet creates a magnetic field which pulls the armature towards it, causing the hammer to strike the bell.
In my words: An electric bell works with a function of electromagnet. When the electric current flows into the coils, the electromagnet makes a magnetic field that brings the aemature towards the magnentic feild. When this happend this cause the hammer to hit the bell. And this is how an electric bell works.
Explanation:
Answer:
"An electric bell is a mechanical or electronic bell that functions by means of an electromagnet. ... When an electric current flows through the coils, the electromagnet creates a magnetic field which pulls the armature towards it, causing the hammer to strike the bell."
State the following forms of electromagnetic radiation in increasing order of wavelength.
Radiowaves, gamma rays, x-rays, infrared radiation, visible light
Answer:
Gamma rays, x-rays, visible light, infrared radiation and radiowaves
Explanation:
Gamma rays, x-rays, ultraviolet, visible light, infrared radiation, microwave and radiowaves
My body is not just something that I have, my body is also I am.
Answer:
OK IS THERE A ANSWER TO THIS
Explanation:
a ball is thrown straight upward with an initial velocity of 8 m/s. the magnitude of the final velocity of the ball is
A. 0 m/s
B. 4 m/s
C. 8 m/s
D. 16 m/s
Assuming no air restance the speed when the ball comes back to the starting point will be again 8ms but directed DOWNWARDS; we can express this by saying that it will equal to −8ms adding a minus to indicate the downward direction.
To find the time of flight we use:
vf=vi+at
Where:
a is the acceleration of gravity (downwards, −9.8ms2);
vi=+8ms
vf=−8ms
So, we get:
−8=8−9.8t
−16=−9.8t
t=169.8≈1.6s
The answer is "B"
Answer link
Please help science question
Answer:
it is moving left
Explanation:
How far has a object fallen that is traveling 98 m/s In 10 seconds
Answer:
The distance is, y = 489.5 [m/s]
Explanation:
To solve this problem we can use the following equation of kinematics.
[tex]v_{f}^{2}= v_{i}^{2}+(2*g*y)[/tex]
where:
Vf = final velocity = 98 [m/s]
Vi = initial velocity = 0
g = gravity acceleration = 9.81 [m/s^2]
y = distance [m]
(98^2) = 0 + (2*9.81*y)
Note: the positive sign of the equation means that the acceleration of gravity acts in the direction of the movement of the object.
9604 = 19.62*y
y = 489.5 [m/s]
A box of oranges with a weight of 96 N is being pushed across a horizontal floor. As it moves, it is slowing at a constant rate of 0.90 m/s each second. The push force has a horizontal component of 20 N and a vertical component of 25 N downward.
Required:
Calculate the coefficient of kinetic friction between the box and floor.
Answer:
μk=0.24Explanation:
Please see attached a detailed drawing of the force and line diagram for your reference.
Given data
weight W=96N
Fx=20N
Fy=25N
acceleration a= -0.9m/s^2----slowing down indicate negative
W=mg= 96N
Fk= kinetic friction= μkN
where N= normal reaction
from newtons second law
F=ma
x-----Fx-Fk=ma
Fk=Fx-ma
y----N-Fy-W=0
N=25+96
N=121N
so
Fx-μkN=ma
20-μkN=(96/9.81)-0.9
20-μkN=-86.4/9.81
20-μkN=-8.80
-μkN=-20-8.8
μkN=20+8.8
μk=28.8/N
μk=28.8/121
μk=0.238
μk=0.24