Answer:
a. 4.99 × 10⁻⁴ N b. 1.46 × 10⁻³ N c. 4.83 nC
Explanation:
(a) Find the magnitude of the electric force acting on each ball.
The tension in the string, T is resolved into horizontal and vertical components Tsin20° and Tcos20° respectively, since the string makes an angle of 20° with the vertical.
Let F = electric force and W = mg be the weight of the ball where m = mass of ball = 0.14 g = 0.14 × 10⁻³ kg and g = acceleration due to gravity = 9.8 m/s²
The electric force acts in the opposite direction to the horizontal component of the tension in each string. Since the masses are in equilibrium,
Tsin20° = F (1)
Also, the weight of the ball acts downwards, opposite to the direction of the vertical component of the tension in the string. Since the masses are in equilibrium,
Tcos20° = W = mg
Tcos20° = mg (2)
Dividing (1) by (2), we have
Tsin20°/Tcos20° = F/mg
tan20° = F/mg
F = mgtan20°
So, F = 0.14 × 10⁻³ kg × 9.8 m/s²× tan20°
F = 0.4994 × 10⁻³ N
F = 4.994 × 10⁻⁴ N
F ≅ 4.99 × 10⁻⁴ N
(b) Find the tension in each of the threads.
Since Tsin20° = F
T = F/sin20°
= 4.99 × 10⁻⁴ N/sin20°
= 4.99 × 10⁻⁴ N/0.3420
= 14.59 × 10⁻⁴ N
= 1.459 × 10⁻³ N
≅ 1.46 × 10⁻³ N
(c) Find the magnitude of the charge on the balls.
From Coulomb's law, the electric force between the masses of charge q and separated by a distance r = 2.05 cm = 2.05 × 10⁻² m
F = kq²/r² where k = 9.0 × 10⁹ Nm²/C²
q² = Fr²/k
q = √(Fr²/k)
q = [√(F/k)]r
Thus,
q = [√(F/k)]r
q = [√( 4.99 × 10⁻⁴ N/9.0 × 10⁹ Nm²/C²)]2.05 × 10⁻² m
q = [√(0.5544 × 10⁻¹³ C²/m²)]2.05 × 10⁻² m
q = [√(5.544 × 10⁻¹⁴ C²/m²)]2.05 × 10⁻² m
q = [2.355 × 10⁻⁷ C/m]2.05 × 10⁻² m
q = 4.83 × 10⁻⁹ C
q = 4.83 nC
Which diagram represents a wave that changes speed
Answer:
Option D is correct answer of this question
Explanation:
=> Because in it sound is going from one
media to another media
=> so, this will change it's speed
hope it helps
Where is the most and the least KENETIC ENERGY
Answer:
Where is kinetic energy the least?, and most?
Explanation:
Least : When the Moon is farthest from Earth in its nearly elliptical orbit, its speed is least. Its kinetic energy has become least, and its potential energy is greatest.
Further : Kinetic energy, form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.
May be different for you, but i really hope I helped out.
A force of 120 N is acting on a surface of area 100 cm 2 . Calculate the pressure acting on the surface.
Answer:
Thrust is the force acting normally to a surface. So, Thrust = 1200 N. And , Pressure = Thrust / Area. = 1200 / 0.001. = ...
Explanation:
this right like me
What is the velocity of an 80 kg person skating across the ice with a kinetic energy of 16, 000 joules?
Answer:
V = 20 m/s
Explanation:
Given the following data;
Mass = 80kg
Kinetic energy = 16,000 joules
To find the velocity;
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
[tex] K.E = \frac{1}{2}MV^{2}[/tex]
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Substituting into the formula, we have;
16000 = ½*80*V²
16000 = 40V²
V² = 16000/40
V² = 400
Taking the square root of both sides, we have;
V = 20 m/s
If you rub a glass rod with a piece of silk, the rod becomes positively charged. This means that
Protons have moved to the rod
Friction destroyed the electrons in the rod
The silk has become negatively charged
Glass attracts more protons
Answer:
The silk has become negatively charged
Wo do u think the best male tennis player currently still playing?
1. Rafael nadal
2.Roger federer
3.Novak Djokovic
Answer:
--..-...-...-.---..-...-...
Answer: right now its djokovic
Explanation:
I am a federer and nadal fan but djokovic is dominating. federer has retired and nadal isnt at his best due to injuries and his age.
What is the atomic number the atom shown?
A. 3
B. 13
C. 14
D. 27
Answer:
13
Explanation:
Brainlest pls
Answer:
B-13
Explanation:
The protons listed in the atom are 13, and the protons are the same number as the atomic number.
(b) Figure 4 shows a car travelling on a motorway.
A passenger wants to check the accuracy of the speedometer of the car.
The car is travelling at a constant speed.
The passenger has a stopwatch.
The lamp posts are 40 m apart.
lamp post
Figure 4
Describe how the passenger could determine the speed of the car as accurately
as possible.
(3)
Answer:
To calculate anything - speed, acceleration, all that - we need data. The more data we have, and the more accurate that data is, the more accurate our calculations will be. To collect that data, we need to measure it somehow. To measure anything, we need tools and a method. Speed is a measure of distance over time, so we'll need tools for measuring time and distance, and a method for measuring each.
Conveniently, the lamp posts in this problem are equally spaced, and we can treat that spacing as our measuring stick. To measure speed, we'll need to bring time in somehow too, and that's where the stopwatch comes in. A good method might go like this:
Press start on the stopwatch right as you pass a lamp postEach time you pass another lamp post, press the lap button on the stopwatchPress stop after however many lamp posts you'd like, making sure to hit stop right as you pass the last lamp postRecord your dataCalculate the time intervals for passing each lamp post using the lap dataCalculate the average of all those invervals and divide by 40 m - this will give you an approximate average speedOf course, you'll never find an *exact* amount, but the more data points you have, the better your approximation will become.
¿Qué función trigonométrica describe la manera como el voltaje y la corriente varían con el tiempo en un circuito CA?
Answer:
función sinusoidal
Explanation:
En un circuito de CA, la corriente y el voltaje tienen un voltaje máximo y mínimo. A intervalos regulares, la corriente y el voltaje invierten la dirección y cambian su magnitud continuamente con el tiempo.
Por lo tanto, para representar la corriente y el voltaje en un circuito de CA, se utiliza una función sinusoidal. Una función seno es una función continua con oscilaciones periódicas.
Define atmospheric pressure
Answer:
tmospheric pressure, force per unit area exerted by an atmospheric column (the entire body of air above the specified area)
What is a key difference between transverse and longitudinal waves?
A.) Transverse move up and down while longitudinal can do in any direction.
B.) Transverse can e described as troughs and crest while, longitudinal waves can be described as compression and rarefactions.
C.) There is no difference, it depends on the scientific uses and calculations involved.
D.) Transverse waves can only represent sound while longitudinal are represented by ocean waves, light and other waves
Answer:
B.) Transverse can e described as troughs and crest while, longitudinal waves can be described as compression and rarefactions.
will mark as brainliest . pls help
Answer:
answer D
Explanation:
circuit breaker is useful when you do something with your domestic electric circuit..
10 Points
The low density gas layer surrounding a star is known as the
O A. Corona
B. Core
C. Convective zone
o
D. Radiative zone
Reset Selection
Could someone please help me..?
The effect an electric charge has on other charges in the space around it is the charge's:
friction
electric current
electric field
induction
what is the mass of modelling clay?
the mass of modelling clay is 500g
Putting the moon back to its original size, if it were suddenly to move to twice the
distance from the earth, how would that effect the force of gravitation with the
earth?
To fight a bacterial infection, a patient was given an antibiotic to take for 10 days. After the patient finished taking the antibiotics as directed, almost all the bacteria were killed. After another 10 days, the patient was sick again with the same type of infection.
What most likely happened?
A A few bacteria survived the antibiotics and stopped reproducing.
B The patient’s high fever inactivated the antibiotic, allowing the surviving bacteria to grow rapidly.
C The antibiotic slowed the life cycle of the bacteria.
D Some of the bacteria were resistant to the antibiotic, and they
reproduced.
HELP!!
Answer:
its D
Explanation:
didnt see what u said lol they deleted it again :(
Three vector are oriented as shown in figure below where. A=20.0units, B=40.0units, And C=30.0. (a) The x and Y component of the resultant vector. (b) The magnitude of the resultant vector. (c) Direction of the resultant vector { please help me}
Answer:
Explanation:
a). Vertical component of vector B = Bsin(45)
= 40sin(45°)
= 28.28 units
Horizontal component of vector B = Bcos(45°)
= 40cos(45°)
= 28.28 units
Vertical component of vector C = Csin(45°)
= 30sin(45°)
= 21.21 units
Horizontal component of vector C = Ccos(45°)
= 30cos(45°)
= 21.21 units
Vertical forces = A + Bsin(45°) - Csin(45°)
= 20 + 28.28 - 21.21
= 27.07
Horizontal forces = Bcos(45°) + Ccos(45°)
= 28.28 + 21.21
= 49.49 units
b). Magnitude of resultant force = [tex]\sqrt{(27.07)^2+(49.49)^2}[/tex]
= [tex]\sqrt{3182.045}[/tex]
= 56.41 units
c). Direction of the resultant force → Along vector B (at an angle of 45° from the horizontal line)
A magnet can move in a coil of wire to produce electricity in which system?
A. Generator
B. Motor
C. Magnet
D. Transformer
Answer:
A. Generator
Explanation:
Hope this will help
Answer:
A. Generator
Explanation:
That is the correct answer
does a wall or door have more inertia?
Answer:
door
Explanation:
what is the formula for calculating the magnitude of kinetic frictional force
This means that measuring the pulling froce F is like measuring the force of static friction fs . Uk = FK . here
f= FK. FK = force of kinetic friction uk = coefficient of kinetic friction and N= normal to the contacting surfaces.
Car A has a mass of 2000 kg and is going 28 m/s east.
Car B has a mass of 4000 kg and is going 13 m/s west.
What will be the momentum of both cars together after the collision?
What are some of the skills required to play floor hockey?
Answer:
Skills required to play floor hockey include passing, receiving passes, shooting, stick- handling (dribbling), defensive skills and goaltending. Players are allowed to use both sides of the blade of the stick. The front side is called the forehand (face) and the back side is called the backhand.
As the ball moves from point A to point B, kinetic energy...
Answer:
KE=1/2mv*
Explanation:
write the numbers inorder to the symbols
Ans use this formula to solve the problem
PLEASE HELP 20 POINTS
A car of mass 700 kg and moving at a speed of 30 m/s collides with a stationary truck of mass 1400 kg, and the two vehicles lock together on impact. The combined velocity of the car and truck after the collision is m/s.
Un tren de alta velocidad (TAV) o tren bala es aquel que alcanza velocidades iguales o superiores a 200 km/h. La energía que tiene el tren en su recorrido habitual es: *
Answer:
B. Cinética, debido a que esta energía está asociada con la velocidad que posee el tren.
Explanation:
Un tren de alta velocidad (TAV) o tren bala es aquel que alcanza velocidades iguales o superiores a 200 km/h. La energía que tiene el tren en su recorrido habitual es
A. Cinética, debido a que existen trenes elevados los cuales poseen altura y la altura está asociada con la energía cinética.
B. Cinética, debido a que esta energía está asociada con la velocidad que posee el tren.
C. Rápida, porque la energía cinética es sinónimo de rápido.
D. Potencial, debido a la potencia que tiene el tren para moverse.
Solution:
La energía cinética es la energía contenida en un objeto en movimiento. La energía cinética se puede definir como la cantidad de energía necesaria para que un objeto se acelere desde el reposo hasta su velocidad final.
La energía cinética (KE) viene dada por:
KE = (1/2) * masa * velocidad²
Podemos ver que la energía cinética depende de la masa del objeto y la velocidad del objeto.
El tren de alta velocidad posee energía cinética debido a la velocidad del tren.
Why is the global temperature increasing? Explain the science behind it.
If the velocity of a car is 45km/h west, how far can it travel in 0.5 hours
Answer:
22.5km
Explanation:
Since 0.5 of an hour is half of an hour, you have to divide 45 by half, and you would get 22.5 km
I need help plssss!!!!
Answer:
C
Explanation:
The other answers don’t make sense
A ball is launched horizontally at a speed of 4.0m/s from the top of a cliff that is 24.6 meters high. Where in the ball's trajectory is the horizontal speed a maximum? Explain how you know.
Answer:
The horizontal speed of the ball is constant where there is little resistance from the air
Explanation:
From the given parameters of the ball, we have;
The horizontal speed of the ball = 4.0 m/s
The height of the cliff from which the ball is launched = 24.6 meters
The direction in which the ball is launched = Horizontally
The components of the forces acting on the ball are;
The vertical force = The Earth's gravitational attraction
The horizontal force = 0 N (There are no horizontal forces acting on the ball)
According to Newton's first law of motion, the ball will continue in its uniform motion or in its rest state unless acted upon by a force
Therefore, given that there are no horizontal forces component acting on the ball, (little air resistance) the ball will continue with the initial horizontal velocity, such that the horizontal velocity of the ball remains constant.