An electrically charged point particle with a mass of 1.41 x 10-6 kg is launched horizontally into a uniform electric field with a magnitude of 686 N/C. The particle's initial velocity is 5.39 m/s, directed eastward, and the external electric field is also directed eastward. A short time after being launched, the particle is 9.89 x 10-3 m below and 0.151 m east of its initial position. Determine the net charge carried by the particle, including the algebraic sign ( or -).
Answers
Answer:
the net charge carried by the particle is -2.35 × 10⁻⁷ C
Explanation:
Given that;
mass m = 1.41 × 10⁻⁶ kg
Magnitude E = 686 N/C
v = 5.93 m/s
A short time after being launched, the particle is 9.89 x 10-3 m below and 0.151 m east of its initial position
consider vertical;
u =0, y = 9.89 × 10⁻³ m, g = a = 9.8 m/s²
Now, from the second equation of motion;
s = ut + 1/2 × at²
so, y = ut + 1/2 × at²
we substitute
9.89 × 10⁻³ = 0×t + (1/2 × 9.8 × t²)
9.89 × 10⁻³ = 4.9t²
t² = 9.89 × 10⁻³ / 4.9
t² = 0.0201836
t = √0.00201836
t = 0.0449 s
Consider horizontal;
u = 5.93 m/s, a = (qE/m) m/s, t = 0.0449 s, x = 0.151 m
also, from the second equation of motion;
s = ut + 1/2 × at²
so
x = ut + 1/2 × (qE/m) × t²
we substitute
0.151 = (5.93 × 0.0449) + (1/2 × ((q×686)/1.41 × 10⁻⁶) × (0.0449 )²
0.151 = 0.266257 + 0.69149143q / 1.41 × 10⁻⁶
0.151 - 0.266257 = 0.69149143q / 1.41 × 10⁻⁶
-0.115257 = 0.69149143q / 1.41 × 10⁻⁶
-0.115257 × 1.41 × 10⁻⁶ = 0.69149143q
0.69149143q = -1.6251237 × 10⁻⁷
q = -1.6251237 × 10⁻⁷ / 0.69149143
q = -2.35 × 10⁻⁷ C
Therefore, the net charge carried by the particle is -2.35 × 10⁻⁷ C
Related Questions
The __________________ is the entire range of Electromagnetic Waves.
Absorption
Opaque
Electromagnetic Spectrum
Refraction
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Answers
Answer:
I think its the electromagnetic spectrum
A rocket has a mass of 156,789 kg and is traveling at 45.6 m/s. How much kinetic energy does the rocket
possess?
Answers
Explanation:
K.E =1/2 mv^2
=1/2(156789)(45.6)^2
=78,394.5 × 2,079.36
=163,010,387.52 kg m/s
This should be your answer.
Two sprinters A and B of mass 70kg ad 55kg respectively are running with the
same speed in the same direction. Which of the following is NOT true?
1) A has a greater Kinetic energy
Greater force is needed to stop A
The momentum of A is greater than B
iv)
B will finish the race before A
V B has greater kinetic energy
A. ii) and iv) only B. v) only C. iii), iv )and v) only D. iv) and v) only
Answers
A has a greater kinetic energy since the tow runners start with the same speed, in the same direction. K = 1/2mv^2, meaning that the greater value of m (70kg) will constitute for a greater kinetic energy if v is the same speed for both sprinters. I True.
The greater the kinetic energy, the greater the force will be needed to make the sprinter come to a complete stop. II True.
Momentum is defined as p=mv. If both sprinters begin with the same value of v, mv of A will be greater than mv of B, meaning that the momentum of A is greater than B. III True.
If they begin with the same speed, they will finish the race at the same time. Therefore, B will NOT finish the race before A. Statement IV false.
It was stated before that the kinetic energy of A is greater than the kinetic energy of B, so it makes statement V false.
The answer is D (only IV and V).
1. Who helped Mendeleev ride 1200 miles to a university in Moscow only to be rejected?
Answers
Answer: that guy
Explanation:
the feather experiences 0.075 N of downward force. Assuming it is on earth, what is its mass?
Answers
Answer:
The mass of the feather would be 0.0075 kg.
Explanation:
If the feather were to be on earth, it would have experienced the gravitational pull of the earth downwards. So that from Newton's second law of motion,
F = mg
where f is the force on the object, m is the mass of the object and g is the acceleration due to gravity of the earth.
But, F = 0.075 N, g = 10 m/[tex]s^{2}[/tex].
So that,
0.075 = m x 10
m = [tex]\frac{0.075}{10}[/tex]
= 0.0075 kg
The mass of the feather would be 0.0075 kg.
I need help with this question
Answers
Option 3) a Soccer Ball
will travel the farthest distance.
Answer:
a bowling ball
pls follow me and Mark as brainliest and follow me to get free thanks to all your answers
Two dump trucks each have a mass of 1,500 kg. The distance of the dump truck
is 50m. What will the new gravitational force be between them?
Answers
Answer:
6.00 x 10⁻⁸N
Explanation:
Given parameters:
Mass of each dump trucks = 1500kg
Distance between them = 50m
Unknown:
New gravitational force between them = ?
Solution:
From Newton's law of universal gravitation,
F = [tex]\frac{G m1 m2}{r^{2} }[/tex]
F is the gravitational force
G is the universal gravitation constant
m is the mass
r is the distance
F = [tex]\frac{6.67 x 10^{-11} x 1500 x 1500}{50^{2} }[/tex] = 6.00 x 10⁻⁸N
Analyze each line (A,B,C and D) on this graph to describe the acceleration, and
conclude which line represents the highest acceleration during time 10 sec to 15 sec.
Answers
Answer:
i think the 2nd one
the first=0 b/c it's initial velocity and final ones are equal the third one is constant
Visible light waves do not diffract as well as radio waves because _____
a. the energy of visible light is too high
b. the frequency of the light waves are too low
c. the wavelength of the light waves are too small
d. the speed of light waves is too slow
Answers
Visible light waves do not diffract as well as radio waves because the wavelength of the light waves are too small.
What is Wavelength?This is defined as the distance between corresponding points of two consecutive waves.
Light waves have a small wavelength which is why it doesn't diffract as well as radio waves thereby making option C the most appropriate choice.
Read more about Wavelength here https://brainly.com/question/10728818
Which of the following examples, would best represent the input energy and then
'wasted energy forms when watching TV.
A. Chemical, and then heat and electrical.
B. Chemical, and then heat, kinetic, sound
C. Electrical, and light, sound, heat
D. Electrical, and then sound and heat
Answers
Answer:
I think the answer is c electrical, and light , sound hewt
Please answer this question correctly
Answers
Water boils to power a steam engine. Which statement best describes the changes in the water as it boils?
Answers
Option B
kskmsnsnsmjsjsn
Answer:
C. The potential energy of the particles increases as the intermolecular forces are overcome
Explanation:
The floor on a dance hall can take a pressure of 3.5MPa before getting damaged. A lady of mass 60kg wears high heeled shoes. What is the smallest area of the sole of a heel she could wear such that it won't permanently damage the floor
Answers
Answer:
smallest area of the heel is 0.000168 m^2
Explanation:
Recall that pressure is defined as: Force / area. Therefore to reach a pressure of 3,500,000 Pa using a force: m * g = 60 kg * 9,8 m/s^2 = 588 N, one needs:
Area = 588 / 3500000 m^2 = 0.000168 m^2
A vertical beam of power intensity P (in Watts/m2 ) passes downward through a particular substance. The rate at which P decreases with respect to the thickness t (in meters) through which the beam has passed is proportional to P(t). The power intensity P at the top of the substance is 3,000 W/m2 . The power intensity P at a depth of 2.00 meters below the surface is 600 W/m2 . What is the power intensity P at a depth of 1.25 meters below the surface
Answers
Answer:
x = 1162.5 W/m²
Explanation:
Since, the power decrease is proportional to the depth of the beam. Therefore, interpolation can be used to find the intensity of power at a depth of 1.25 m. First we calculate the slope from know points:
[tex]Slope = \frac{\Delta y}{\Delta x} \\\\Slope = \frac{(1500 - 3000)\ W/m^{2}}{(2 - 0)\ m} \\\\Slope = -750\ W/m[/tex]
Now, we can find the unknown value by using this slope:
[tex]Slope = -750\ W/m = \frac{(600 - x)\ W/m^{2}}{(2 - 1.25)\ m}\\\\(-750\ W/m)(0.75\ m) = (600 - x)\ W/m^{2}\\x = 600\ W/m^{2} + 562.5\ W/m^{2}\\[/tex]
x = 1162.5 W/m² (Power intensity at depth of 1.25 m)
Believing that Nick will not be a good waiter because he is 60 years old is an example of O Stereotype O Prejudice Situational attribution All of the above
Answers
1 point) One of Kepler's three laws of planetary motion states that the square of the period, P, of a body orbiting the sun is proportional to the cube of its average distance, d, from the sun. The Earth has a period of 365 days and its distance from the sun is approximately 93,000,000 miles. (a) Find P as a function of d. P(d)
Answers
Answer:
P = √1.66 * 10^-19 days^2miles^-3d^3
Explanation:
The mathematical statement of Kepler's third law is;
P^2 α d^3
Where;
P = Period of the body orbiting the sun
d = its average distance from the sun
Introducing a constant of proportionality K, known as Kepler's constant then;
P^2 = Kd^3
K = P^2/d^3
P=365 days
d = 93,000,000 miles
K = (365)^2/(93,000,000)^3
K=1.66 * 10^-19 days^2miles^-3
P = √1.66 * 10^-19 days^2miles^-3d^3
An fm radio station broadcast electromagnetic waves at a frequency of 94.5 MHz(9.45x10^7 Hz) these radio waves have a wavelength of 3.17 m. What is the speed of the waves?
Answers
Answer:
94,5 x 3,17 = 299,565 m/s
Explanation:
To find the speed of waves (V), you just need to multiply wavelength with frequency. That's all.
The speed of the given electromagnetic waves is equal to 3 × 10⁸ m/s.
What are frequency and wavelength?The frequency can be described as the number of oscillations of a wave in 1 second. The S.I. units of the frequency can be represented as per second or hertz.
The wavelength can be described as the distance between the two points in phase on the wave w.r.t. each other. The separation between two crests or two troughs on a wave is known as wavelength.
The relation between the wavelength (λ) of the wave, frequency (ν), and speed of the wave (V) can be written as:
V = νλ
Given, the frequency of the wave, ν = 94.5 MHz = 94.5 ×10⁶ s⁻¹
The wavelength of the waves, λ = 3.17 m
The speed of the waves can determine from the above-mentioned relationship:
V = λν = 3.17 × 94.5 ×10⁶ = 3 × 10⁸ m/s
Therefore, the speed of the wave is equal to 3 × 10⁸ m.
Learn more about wavelength and frequency, here:
brainly.com/question/18651058
#SPJ2
Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 43 cm. (a) How much work is needed to stretch the spring from 33 cm to 38 cm
Answers
Answer:
Workdone = 0.67 Joules
Explanation:
Given the following data;
Workdone = 6J
Extension = 43 - 28 = 15cm to meters = 15/100 = 0.15m
The workdone to stretch a string is given by the formula;
Workdone = ½ke²
Where;
k is the constant of elasticity.
e is the extension of the string.
We would solve for string constant, k;
6 = ½*k*0.15²
6 = ½*k*0.0225
Cross-multiplying, we have;
12 = 0.0225k
k = 12/0.0225
k = 533.33N/m
a. To find the workdone when e = 33, 38.
Extension = 38 - 33 = 5 to meters = 5/100 = 0.05m
Workdone = ½*533.33*0.05²
Workdone = 266.67 * 0.0025
Workdone = 0.67 Joules
Therefore, the amount of work (in J) needed to stretch the spring from 33 cm to 38 cm is 0.67.
Please answer this question correctly
Answers
Answer:
0.1m/s²
Explanation:
acceleration =(final velocity - initial velocity)÷time taken
acc=(2-0)÷20
av. acc=0.1m/s²
HELP URGENT WILL GIVW BRAINLIEST
Answers
Answer: IT IS C TRUST ME DID IT
Explanation: OK BYE GOOD LUCK
You are standing on a street corner with your friend. You then travel 14.0 m due west across the street and into your apartment building. You travel in the elevator 22.0 m upward to your floor, walk 12.0 m north to the door of your apartment, and then walk 6.0 m due east to your balcony that overlooks the street. Your friend is standing where you left her.
Now how far are you from your friend?
Express your answer with the appropriate units.
Answers
Answer:
Explanation:
We shall express each displacement vectorially , i for each unit displacement towards east , j for northward displacement and k for vertical displacement .
14 m due west = - 14 i
22.0 m upward in the elevator = 22 k
12 m north = 12 j
6.00 m east = 6 i
Total displacement = - 14 i + 22 k + 12 j + 6 i
D = - 8 i + 12 j + 22 k
magnitude = √ ( 8² + 12² + 22² )
= √ ( 64 + 144 + 484 )
= √ 692
= 26.3 m
Net displacement from starting point = 26.3 m .
A toaster has a resistance of 30 ohms. It draws 2A of current from the outlet. What is the potential difference ?
A. 60v
B. 2v
C. 15v
D.30v
Answers
Answer:
60V
Explanation: . V = IR = 1
30*2=60
Explain how to identify a starting position on a line.
Answers
Answer:
We can easily find out the beginning point of the line by using dot representation. When it comes to position vector, it expresses the exact position of certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end which is fixed to its body.
Position vectors are used to determine the starting position of a line with reference to the origin or starting point of the coordinate system
Position vectors start at the origin and terminate at any arbitrary point.
In terms of position of a line, position vectors depict the exact position of a line from the starting point of the coordinate system.
In terms of direction of the line, the direction of the position vector points from the starting point of the coordinate system towards the given point.
Thus, we can conclude that position vectors are used to determine the starting position of a line with reference to the origin or starting point of the coordinate system.
Learn more here: https://brainly.com/question/20451639
Sometimes referred to as the law of inertia. An object at rest stays at rest and an object in motionstays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
A Unbalanced force
B Newton's Second Law of Motion
С Newton's Third Law of Motion
D Newton's First Law of Motion
Answers
Answer:
D
Explanation:
Newtons first law states that if an object is at rest it will stay at rest only if an unbalanced force acts on it. As well as if an object is in motion it will stay in motion unless an unbalanced force acts on it.
Ps- The object will stay moving in the same speed and direction.
Answer:
D
Explanation:
I just know
Besides gravity, what factor keeps the moon and Earth in orbit?
force
inertia
mass
distance
Answers
Answer:
interna
Explanation:
please mark as brainllest
Good Luck ;)
as a person pushes a box across a floor, the energey from the person's moving arm is transfered to the box, and the box and the floor become warm during this processes what happens to energey?
a it is increased
b it is conversed
c it is decreased
d it is created
Answers
B: it is conversed
_____ alloy panels have replaced ceramic tiles on the space shuttle's
heat shield because they are less prone to cracking.
please help, will mark brainliest if answer turns out to be correct
Answers
Answer:
Fibrous refractory composite insulation (FRCI) tiles
Answer:
Umm... FRCI tiles can't be correct; they're made of 99.9% pure silica fibers, which are basically porcelain. Sounds like the answer is aluminium.
Explanation:
I am not well-versed on this; I looked it up. But I hope you get it right!
Why won’t anyone help me please anybody help me I really need help .
Answers
Answer:
1➡️ this is the method of decomposition
2➡️ H2 and O2
3➡️ b
sorry if I am wrong
5 points
A ball is thrown upward from y=0, with an initial velocity vo and then slows down with constant acceleration due to
the Earth's gravity. The ball comes to rest at a height h. Which one of the following formulas correctly states the
distance, h, to the top of the trajectory in terms of the initial velocity?
Answers
Answer:
[tex] \frac{{v}^{2} g}{2 } [/tex]
A 12 volt battery will increase the potential energy of 4 coulombs of charge by _____ Joules.
Question 8 options:
16 J
3 J
.33J
48 J
Answers
Answer:
Explanation:
Given parameters:
Voltage = 12V
Quantity of charge = 4C
Unknown:
Potential energy = ?
Solution:
Within this circuit, the value of the potential energy can be found using the expression below:
Potential energy = [tex]\frac{1}{2}[/tex] c v²
c is the quantity of charge
v is the voltage
Potential energy = [tex]\frac{1}{2}[/tex] x 4 x 12² = 288J