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]
Scientific notation 47,000
47,000 written as 4.7 x 104 in s scientific notation
Placing ice on a sprained ankle this is an example of conduction, convection, radiation?
An observer is standing next to the tracks, watching a train approach. The train travels at 30 m/s and blows its whistle at 8,000 Hz as it approaches and then passes by the observer without slowing down. Assuming the speed of sound is 340 m/s, how much of a frequency change did the observer hear?
Answer:
The frequency heard by the observer will be "7351.35 Hz".
Explanation:
The given values are:
Source,
[tex]V_s=30 \ m/s[/tex]
Frequency of source,
[tex]F_s=8000 \ Hz[/tex]
Speed of sound,
[tex]C=340 \ m/s[/tex]
As we know,
⇒ [tex]F=(\frac{C+V_r}{C+V_s} )F_s[/tex]
Here,
[tex]V_r=0[/tex]
So that the formula will be:
⇒ [tex]F=(\frac{C}{C+V_s} )F_s[/tex]
[tex]=\frac{340}{340+30}\times 8000[/tex]
[tex]=7351.35 \ Hz[/tex]
a 0.11kg moving hockey puck is caught by a 80kg goalie who then slides on the frictionless ice at 0.076 m/s. What was the initial velocity of the hockey puck
Answer:
55mph
Explanation:
a 0.11kg moving hockey puck is caught by a 80kg goalie who then slides on the frictionless ice at 0.076 m/s. the initial velocity of the hockey puck was 55mph
what is velocity ?Velocity is a parameter which can be defined as the rate at which the object change the position with respect to time, basically speeding the object in a specific direction.
It is a vector quantity which shows both magnitude and direction and The SI unit of velocity is meter per second (ms-1). the change in magnitude or the direction of velocity of a body, then it is said to be accelerated.
Finding the total velocity is simple but few calculations and basic conceptual knowledge are needed.
For more details regarding velocity, visit
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What was the main aim behind Wegener's continental drift theory?
A. To explain major climate changes
B. To explain geological similarities
C.to explain landforms of area
D. All of the above
how much faster will a car be going if it accelerates at 1 m/s/s for a total of 60 seconds.
Answer:
Vf = 60 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}= v_{i}+(a*t)[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 0
a = acceleration = 1 [m/s^2]
t = time = 60 [m]
Now replacing:
Vf = 0 + (1*60)
Vf = 60 [m/s]
how long would it take to get to the moon going around 75 miles an hour
33. A zebra is at rest 60 m away from a charging lion
running at 20 m/s. If the zebra accelerates at 4
m/s2, will the lion catch it?
Answer:
the lion will miss the zebra by 3 meters
Explanation
The zebra has gone 23.75m after 5 seconds
and the lion can only go 20 m/s
The lion can not catch zebra.
A diagram is attached below which describe situation of question.
The speed of Zebra is,
[tex]v=u+at=0+4t=4t[/tex]
Where u is initial speed of zebra.
The speed of lion is 20m/s.
The lead in speed by lion for every second is [tex](20-4t)[/tex].
[tex](20-4t)*t=60\\\\20t-4t^{2}=60\\ \\t^{2}-5t+15=0\\ \\t=\frac{5\pm\sqrt{(-35)} }{2}[/tex]
Here time is imaginary.
Therefore, The lion can not catch zebra.
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List 3 objects that would sink in water & 3 object that would float in water :)
Answer:
items that would sink : spoon marbles rocks
Explanation:
items that would float : straw feather cotton
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
PLEASE HELP
What is an archimedean screw used for?
dont just guess or i wil banned you and reprt you actually try
Archimedes screw, machine for raising water, allegedly invented by the ancient Greek scientist Archimedes for removing water from the hold of a large ship.
Answer:
To move things from a lower level to a higher level.
Explanation:
True or False? Mechanical waves do NOT need a medium to travel through.
Answer:
True
Explanation:
Mechanical waves require a medium in order to transport their energy from one location to another.
Which of the following describes a physical change? A. A marshmallow burns over an open flame. B. Icicles melt from a rooftop. C. A cat eats a piece of fish. D. Milk turns sour.
Answer:
B
Explanation:
Icicles melt from a rooftop
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! :)
A rock is thrown off a cliff with a horizontal velocity of 18.3 m/s. Right before it hits the ground, it has a vertical velocity of -31.3 m/s. What is the magnitude of the rock's overall velocity?
Answer: 36.257 m/s
Explanation:
The vertical and horizontal components of a projectiles motion are completely independent of each other. The only thing they share is the amount of time in the air. Because they are independent, the acceleration of gravity cannot affect the horizontal acceleration. This means horizontal acceleration is 0. If the acceleration is 0, this means the velocity does not change horizontally. So the final velocity of the x component is equal to the initial.
Now if you actually imagine these two vectors, it forms a right triangle. So you can use the Pythagorean Theorem to find the resultant vector.
[tex]a^2+b^2=c^2\\18.3^2+(-31.3)^2 = c^2\\c = 36.257 m/s[/tex]
how many current can absorb human body
Answer:
about 10 milliamperes
Explanation:
currents above 10ma can paralize or "freeze bodies"
How many different relationships do the great white sharks have? (Science)
Answer:
three symbiotic relationships
The great white shark has each of the three symbiotic relationships. It has a commensalistic relationship with the remora because the remora cleans the shark's body and the shark is unaffected. It has a Parasitic relationship with the germ ommatokoita elongata because the germ is benifited and the shark is harmed.
plz mark brainliest
In a drill during basketball practice, a player runs the length of the 30-meter court and back. The player does this three times in 60 seconds. The magnitude of the player's average velocity during the drill is...
1. 0 m/s
2. 0.5 m/s
3. 1 m/s
4. 1.5 m/s
5. 3 m/s
6. 30 m/s
Answer:
3.0m/s so it’s number 5
Explanation:
The magnitude of the player's average velocity during the drill is 0 m/s.
The given parameters;
length of the court, L = 30 mnumber of times, = 3time of motion, t = 60 sAverage velocity is change in displacement per change in time of motion.
[tex]\Delta \bar v = \frac{\Delta x}{\Delta t}[/tex]
where;
[tex]\Delta x[/tex] is the change in displacementThe change displacement is zero, since the player moved forward and back to the exact initial position.
[tex]\Delta \bar v = \frac{3(30) - 3(30) }{60} = 0[/tex]
Thus, the magnitude of the player's average velocity during the drill is 0 m/s.
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help me guyzz plzz.......
answer:
1.When an electric current is passed through a conductor, the conductor becomes hot after some time and produce heat. This happens due to the conversion of some electric energy passing through the conductor into heat energy. This effect of electric current is called heating effect of current.
2.As per the law of combination of resistances in series,
R=R1 +R2 +R3+R4+R5
R=0.2+0.2+0.2+0.2+0.2
=1ohm
3.power is amount of electrical energy consumed per unit time. Amount of power consumed in a device is proportional to the current flowing in the device. The unit of electric power is watt.
Which is an example of nuclear energy being converted into heat and light?
A a volcano
B The sun
C A rocket engine
D A coal burning power plant
Answer:
D. A coal burning power plantExplanation:
it is a coal power plant , nuclear power is economical and does not fluctuate as much as wind or solar power.
Unlike coal, it is considered clean in terms of the amount of greenhouse gas emissions produced by the power plant itself, although uranium mining and processing are not without risks and environmental impact
What is the name of the convection
current in the atmosphere that cycles
between the equator and 30° N and
30° S?
Answer:
Hadley cells
Explanation:
Formation of Convection Currents
Atmospheric convection currents are global patterns of air movement that are initiated by the unequal heating of Earth. Hadley cells- the convection currents that cycle between the equator and 30˚ north and south.
When you ride your bike around a corner at 10 m/s, you are accelerating?
When you ride your bike around a corner at 10 m/s, you are accelerating. Acceleration is caused by any forces. Sliding friction keeps you in the seat when a car goes around a corner. If you throw a ball into the air, Earth exerts a force on the ball.
Answer:
yes because acceleration is a vector quantity and as u turn around a corner you are changing direction.
Explanation:
What happens to the velocity of a sound wave in air if the temperature of the air increases?
A.
velocity increases
B. velocity does not change
c. velocity decreases
D. velocity drops to zero
Have you ever wondered how a vending machine "knows" that you have put in the correct amount of change to purchase a snack or a drink? These machines use coin detectors that determine the mass and the size of the coins deposited. In other words, they analyze the density of the coins. United States coinage is minted within very narrow specifications, so the density of each type of coin is always the same. The coin detectors compare the coins inserted to the preset standards to determine if the correct combination of coins has been deposited. In this lesson, you too will determine the density of various coins. OBJECTIVES Recognize the characteristics of density. Design and carry out a scientific investigation. Present your findings in a scientific report. Online Lab This animation will allow you to find the density of a penny, a nickel, and a quarter. Make a hypothesis in which you suggest which coin will have the highest density and which will have the lowest density. A model hypothesis might be: "If the (fill in the name of a coin) has a greater density than the _____ and _____, then it will have a greater mass to volume ratio. If the (fill in the name of a coin) has a lower density than the _____ and _____, then it will have a lower mass to volume ratio. Remember to record your data and observations in the data sheet so that you can use them to present your findings. SHOW TRANSCRIPT Present Your Findings Write a one or two summary paragraph discussing this experiment and the results. Use the following questions and topics to help guide the content of your paragraph. According to your data, was your hypothesis correct? (Be sure to refer to your data when answering this question.) Summarize any difficulties or problems you had in performing the experiment that might have affected the results. Describe how you might change the procedure to avoid these problems. List at least two real world examples that apply the findings of this experiment. (Hint: An example of this type was given in the introduction to this project.) What would you like to do next?
Answer:
If the Quarter has a greater density than the nickel and penny, then it will have a greater mass to volume ratio.
Explanation:
sorry thats all i can help with!
List some factors that would affect the speed of the car.
Answer:
The power of the car, the gear ratio, weight of the car, aerodynamics of the car, grip of the tires on the road, calorific value of the fuel used, and friction would affect the speed of the car.
What is the velocity of a car that travelled a total of 75 km north in 1.5 hrs?
Which statement best defines work.
A) Work is the time it takes to move an object once acted upon by a force
B) Work occurs when balanced forces act on a object and cause movement in the direction of these forces
C) Work occurs when a force causes motion of an object, and this motion is the same directional the applied force
D) Work is the distance over time that an object moves once acted on by a force
While riding in a hot air balloon, which is steadily descending at a speed of 2.44 m/s, you accidentally drop your cell phone.
(a) After 4.00 s, what is the speed of the cell phone?
V = 41.64
m/s
(b) How far is the cell phone below the balloon after this time?
Answer:
Explanation:
Ff
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.
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