Given two metal balls (that are identical) with charges LaTeX: q_1q 1and LaTeX: q_2q 2. We find a repulsive force one exerts on the other to be LaTeX: 1.35\times10^{-4}N1.35 × 10 − 4 N when they are 20 cm apart. Accidentally, one the the experimenters causes the balls to collide and then repositions them 20 cm apart . Now the repulsive force is found to be LaTeX: 1.406\times10^{-4}N1.406 × 10 − 4 N. What are the initial charges on the two metal balls?
Answer:
[tex]q_1=\pm0.03 \mu C[/tex] and [tex]q_2=\pm0.02 \mu C.[/tex]
Explanation:
According to Coulomb's law, the magnitude of force between two point object having change [tex]q_1[/tex] and [tex]q_2[/tex] and by a dicstanced is
[tex]F_c=\frac{1}{4\pi\spsilon_0}\frac{q_1q_2}{d^2}-\;\cdots(i)[/tex]
Where, [tex]\epsilon_0[/tex] is the permitivity of free space and
[tex]\frac{1}{4\pi\spsilon_0}=9\times10^9[/tex] in SI unit.
Before dcollision:
Charges on both the sphere are [tex]q_1[/tex] and [tex]q_2[/tex], d=20cm=0.2m, and [tex]F_c=1.35\times10^{-4}[/tex] N
So, from equation (i)
[tex]1.35\times10^{-4}=9\times10^9\frac{q_1q_2}{(0.2)^2}[/tex]
[tex]\Rightarrow q_1q_2=6\times10^{-16}\;\cdots(ii)[/tex]
After dcollision: Each ephere have same charge, as at the time of collision there was contach and due to this charge get redistributed which made the charge density equal for both the sphere t. So, both have equal amount of charhe as both are identical.
Charges on both the sphere are mean of total charge, i.e
[tex]\frac{q_1+q_2}{2}[/tex]
d=20cm=0.2m, and [tex]F_c=1.406\times10^{-4}[/tex] N
So, from equation (i)
[tex]1.406\times10^{-4}=9\times10^9\frac{\left(\frac{q_1+q_2}{2}\right)^2}{(0.2)^2}[/tex]
[tex]\Rightarrow (q_1+q_2)^2=2.50\times10^{-15}[/tex]
[tex]\Rightarrow q_1+q_2=\pm5\times 10^{-8}[/tex]
As given that the force is repulsive, so both the sphere have the same nature of charge, either positive or negative, so, here take the magnitude of the charge.
[tex]\Rightarrow q_1+q_2=5\times 10^{-8}\;\cdots(iii)[/tex]
[tex]\Rightarrow q_1=5\times 10^{-8}-q_2[/tex]
The equation (ii) become:
[tex](5\times 10^{-8}-q_2)q_2=6\times10^{-16}[/tex]
[tex]\Rightarrow -(q_2)^2+5\times 10^{-8}q_2-6\times10^{-16}=0[/tex]
[tex]\Rightarrow q_2=3\times10^{-8}, 2\times10^{-8}[/tex]
From equation (iii)
[tex]q_1=2\times10^{-8}, 3\times10^{-8}[/tex]
So, the magnitude of initial charges on both the sphere are [tex]3\times10^{-8}[/tex] Coulombs[tex]=0.03 \mu C[/tex] and [tex]2\times10^{-8}[/tex] Colombs or [tex]0.02 \mu C[/tex].
Considerion the nature of charges too,
[tex]q_1=\pm0.03 \mu C[/tex] and [tex]q_2=\pm0.02 \mu C.[/tex]
A proposed solution to a scientific prob-
lem is called a
A hypothesis and/or theory is s a proposed solution to a scientific problem.
A hypothesis is an assumption based on some basic, limited evidence for further investigation. A proposed solution to a scientific problem is called a hypothesis.
What is scientific hypothesis ?The scientific hypothesis is defined as the relationship between two or more variables or a proposed explanation for some observed process. The scientific hypothesis can happen during scientific experiment.
The good scientific hypothesis may possess a hypothesis must be testable and falsifiable. Someone must be able to test a given hypothesis through scientific experimentation.
A hypothesis is an assumption based on some basic, limited evidence for further investigation. A proposed solution to a scientific problem is called a hypothesis.
Thus, A proposed solution to a scientific problem is called a hypothesis.
To learn more about the scientific hypothesis, follow the link;
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How much energy does a 50kg rock have if it sitting on the edge of a 15m cliff
Answer:
14715 joules
Explanation:
PLEASE HELP ME!!!
Which of the following connect to the energy conversions that happen when you plug a vacuum into an electrical outlet and turn it on?
A.)kinetic, chemical, sound
B.)sound, nuclear, electrical
C.)chemical, nuclear, electrical
D.)sound, thermal, kinetic
Answer:
I think is B. sound, nuclear, electrical
but if I wrong then I am so sorry
Lily takes 3 hours to travel from place A to place B at the rate of 60 miles per hour . She takes 2 hours to travel from B to c with50% increased speed .find the average speed from place A to C
Answer:
The average speed form A to C is 72 miles/hour
Explanation:
Average Speed
If an object travels a distance d in a time t regardless of the direction, the average speed is the quotient of the distance over the time:
[tex]\displaystyle \bar v=\frac{d}{t}[/tex]
Lily travels from A to C in two steps:
First, she takes ta=3 hours from A to B at va=60 miles/hour. The distance traveled in that time is:
da=va*ta
da=3*60 = 180
da = 180 miles
Then she takes tb=2 hours to travel from B to C at a speed 50% increased with respect to va, thus:
vb=150*va/100=1.5*60=90
vb=90 miles/hour
She travels a distance:
db=2*90=180 miles
The total distance traveled is
dt=180 + 180 = 360 miles
And the total time taken is
tt= 3 + 2 = 5 hours
Thus, the average speed is:
[tex]\displaystyle \bar v=\frac{dt}{tt}[/tex]
[tex]\displaystyle \bar v=\frac{360}{5}[/tex]
[tex]\displaystyle \bar v=72\ miles/hour[/tex]
The average speed form A to C is 72 miles/hour
how does light spectra help us understand astronomy
Answer: From spectral lines astronomers can determine not only the element, but the temperature and density of that element in the star.
Explanation: The spectral line also can tell us about any magnetic field of the star. The light from the stuff between the stars allows astronomers to study the interstellar medium.
Hope this helps! :)
PLEASE HELP :) <3
Describe some ways people can reduce the risks of being harmed by volcanoes and/or earthquakes.
Protection in a volcanic ashfall:
Stay inside, if possible, with windows and doors closed.
Wear long-sleeved shirts and long pants.
Use goggles to protect your eyes.
Keep your car or truck engine switched off.
Protection from earthquake if you're indoors:
Drop down and take cover under a desk or table
Stay inside until the shaking stops and it is safe to exit.
Stay away from bookcases and other furniture that can fall on you.
Stay away from windows and light fixtures.
If you are in bed – hold on and stay there.
Answer:
best way is to remain inside ur home or under any table
Find the momentum
of a
30g ball traveling
12 m/s
Answer:
0.36 kgm/s
Explanation:
Formula for momentum is :
P=mv
p is momentum
m is mass = 30g = 0.03kg
v is velocity = 12 m/s
P= 0.03 x 12
P = 0.36 kgm/s
Which option gives an object's mass in SI units? O A. 8.1 m3 OB. 4.6 lb O C. 5.2 kg O D. 6.5K
Answer:
5.2kg
Explanation:
mass is measured in kilograms
therefore its si unit is kg
why the formation of sand is a physical change.
1. If a plane flying at 230 m/s drops a package to the ground 75m below.
a. How much time before the package hits the ground?
b. How far in the x-direction does the package travel before it hits the ground?
c. What is the speed and direction of the package before it hits the ground?
2. A diver runs with a speed of 1.2 m/s straight off a diving board 10m above the water.
a. How much time is he in the air?
b. How far from the board does he land?
c. What is his speed right before he strikes the water?
3. A car leaves the edge of a cliff 55m high and hits 130 m from the base.
a. How much time is the car in the air?
b. What is the initial velocity of the car?
c. What is the speed and direction it hits the ground?
Answer:
What class is this for, I think I have done this before.
The difference of two numbers is 28. Find the number if the larger is 3 times smaller.
Answer:
14,42
Explanation:
Let the smaller number be x
Hence, the larger number = 3x
Hence,
[tex]3x-x=28\\2x=28\\x=14[/tex]
Hence, the smaller number = x = 14
The larger number = 3x = 42
how are open and closed systems related to energy?
Answer:
The stovetop system is open because heat can be lost into the air. A closed system is one that cannot transfer energy to its surroundings.
Why does the rider continue to go the same height on the ramp every time and would continue to do that forever?
Why do electrons flow in a circuit
Answer:
When a negative charge is brought near one end of a conductor electrons are repelled. ... When electric voltage is applied, an electric field within the metal triggers the movement of the electrons, making them shift from one end to another end of the conductor. Electrons will move toward the positive side.
A cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to have the cannonball travel a target distance of 400m. Based on this, will the cannonball reach the target distance?
A. Yes, the cannonball will hit its goal
B. More information is needed to determine the outcome
C. No, the cannonball will overshoot its goal
D. No, the cannonball will fall short of the goal
self note *9
Answer:
D. No, the cannonball will fall short of the goal
Explanation:
Based on the information given in the problem, No, the cannonball will fall short of the goal, therefore the correct answer is option D.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
As given in the problem a cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to have the cannonball travel a target distance of 400 meters,
By using the second equation of motion in the vertical direction,
100 = ut + 0.5*9.81*t²
t = 4.51 seconds
The distance traveled by the cannonball in the horizontal direction at the same time = 4.51*50
=205 meters
Thus, based on the information given in the problem, No, the cannonball will fall short of the goal, therefore the correct answer is option D.
To learn more about equations of motion here, refer to the link;
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What is one other thing that needs to be controlled when testing the effect of particle size?
am sorry i thout this was my question not your answer sorry
temperature of the water must be controlled
During a phase change, a substance undergoes a(n) *
HELP
reversible change from one state to another.
irreversible change to a different substance
irreversible change from one state to another.
reversible change to a different substance.
Answer:
Reversible change from one state to another
Hope this helps
:)
what are contact force and non contact force give example
Explanation:
Force is push or pull on a body.
Contact force is a force that requires contact. It acts between two body that touches on another.
Examples are pushing a car, ringing a bell, kicking a ball.
Non contact forces are forces applied to another object without contact. The action of this force is usually through a targeted force field.
Examples are magnetic force, gravitational force
What is the wavelength of a wave?
Definition: Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Cell phones use digital signals to send and receive information. These digital signals travel as what kind of wave?
ОООО
Gamma rays
X-rays
Microwaves
Radio waves
the answer would be microwaves!
Answer:
Microwaves
Explanation:
Explanation:
1 lb equals how many grams
Answer:
1 lb. is 453.592 grams
Explanation:
1lb is 453.592 grams
an object near the surface of a planet falls 54m in 3s. what is the acceleration due to gravity on that planet
Answer:
12s
Explanation:
Sarah was trying to explain electromagnetic waves energy to her lab partner. She said that microwaves have more energy than infrared
waves. Her partner Jose argued that infrared waves have more energy Who is right and provides the correct justification?
A Jose is correct because infrared waves have a smaller amplitude than microwaves
B. Jose is correct because infrared waves have a greater frequency than microwaves.
C. Sarah is correct because microwaves have a greater frequency than infrared.
Sarah is correct because microwaves have a smaller wavelength than infrared.
Testing for which type of property could lead to damaging the mineral sample?
A. physical properties
B. chemical properties
C. hardness
D. color
Answer: B. Chemical Properties
Explanation:
Five 6 ohm resistors are connected in parallel. Which of the following is their effective resistance?
A. 6 ohm
B. 1.2 ohm
C. 30 ohm
D. 5/6 ohm
1/Rt = 1/R1 + 1/R2 + 1/R3+ 1/R4+ 1/R5
1/Rt = 1/6+ 1/6+1/6+1/6+1/6
1/Rt = 5/6
Rt = 6/5
Rt = 1.2 ohm
so B is the answer
Lynette has made it to the final round of a tennis tournament. While watching a match between two other players, she attributes her racing heart and rapid breathing to excitement. The next night, just before her own match, she attributes her racing heart and rapid breathing to nervousness. Which theory of emotion best explains this situation?
Answer: D. the Schachter-Singer theory
Explanation:
The Schachter-Singer theory which is also called the Two-factor theory of emotion, explains that humans feel emotion after they appraise the changes in their body in reaction to a stimuli as this would then give them a better means to tell which emotion they are feeling.
Lynette in the first instance noticed she had a racing heart and rapid breathing in response to watching two other players and was then able to appraise this and attribute it to excitement.
When the same thing occurs again but under different circumstances, she is able to appraise it differently and attribute it to nervousness which shows that the Schachter-Singer theory is the relevant theory.
A thief throws a ring down at his partner at 4.0 m/s. It is 9.0 m to the partner’s hands.
a) Find the velocity of the ring when the partner catches it.
b) How long will it take for the ring to pass between the two crooks?
Answer:
a) Vf = 13.87[m/s]
b) t = 1 [s]
Explanation:
a)
To solve this problem we can use kinematics equations:
[tex]v_{f}^{2}= v_{i}^{2}+(2*g*h)[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 4 [m/s]
h = elevation = 9 [m]
g = gravity acceleration = 9.81 [m/s^2]
[tex]v_{f}=\sqrt{(4)^{2} +(2*9.81*9)}\\v_{f}=13.87[m/s][/tex]
b)
Now using the next equation we can find the time
[tex]v_{f}=v_{i} +(g*t) \\t = (13.87-4)/9.81\\t=1[s][/tex]
When a bowling ball strikes a bowling pin which imparts a greater
force upon the other?
a. equal force b. The bowling ball
c. the bowling pin
When a bowling ball strikes a bowling pin, they impart equal forces upon the other.
The correct option is (a) Equal forces
Newton's third law of motion:Newton postulated that whenever objects A and B interact, they exert forces on one another. You put a downward force on the chair when you sit on it, and the chair responds by exerting an upward force on your body. This contact creates two forces: one force on the chair and one force on your body. These two forces—also known as the action and reaction forces—are covered by Newton's third law of motion. There is an equal and opposite response to every action, according to the formal statement of Newton's third law.There are always two forces acting on the two interacting objects, according to the statement's interpretation. The amount of the force known as the action and reaction forces—are covered by Newton's third law of motion. There is an equal and opposite response to every action, according to the formal statement of Newton's third law.There are always two forces acting on the two interacting objects, according to the statement's interpretation. The amount of the force exerted on the first and second objects are equal. In contrast to the force acting on the second item, the force on the first object is operating in the opposite direction. There are always two of the same kind of force pairings—equal and opposing action-reaction force pairs.Learn more about the Newton's third law with the help of the given link:
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help me plz Your starting fitness level is known as__________. (10 points) a starting point b beginning level c baseline d entry level
Answer:
Would it be starting point?
Explanation:
When you start a sport or something, you may not be good or bad at it. However, as time goes on you are going to improve.
Idk if this helps or not buh yeah