Answer:
The answer is "\(18.62 \ \frac{m}{s}\)"
Explanation:
Given value:
\(P_A= 101.3 \frac{kN}{m^2}\\\\P_B= 200 \frac{kN}{m^2}\\\\Z_A=0.5 \ m\\\\Z_B= 7 \ m\\\\r= 0.9 \times 10^3= 900 \frac{kg}{m^3}\\\\r=8.825 \frac{KN}{m^3}\\\\\)
\(\frac{P_A}{r} + \frac{V A^2}{2g} + Z_A = \frac{P_B}{r}+ \frac{V B^2}{2g} +Z_B\\\\\ where \ \ \ \ \ \ \ \frac{V B^2}{2g}=0\\\\\frac{101.3}{8.825} + \frac{V A^2}{2 \times 9.81} + 0.5 = \frac{200}{8.825}+ 7\\\\11.478 +\frac{V A^2}{19.62} +0.5 = 22.668+7\\\\\frac{V A^2}{19.62} = 29.668+11.978\\\\V A^2 = 17.684 \times 19.62\\\\V A^2 = 346.96\\\\V A = 18.62 \ \frac{m}{s}\\\\\)
a beam of monochromatic light travels through flint glass, crown glass, lucite, and water. the speed of light beam is slowest in
Answer:
The answer is flint glass.
A swimmer runs horizontally off a diving board with a speed of 3.04 m/s and hits the water a horizontal distance of 1.68 m from the end of the board.
With a horizontal velocity of 3.04 m/s and a horizontal displacement of 1.68 m from the end of the diving board, the swimmer enters the water 1.70 metres below the diving board.
What is velocity, for instance?The rate at which something moves in a certain direction is referred to as its velocity. as quickly as a car travelling north on a highway or a rocket taking flight.
We can use the kinematic equations of motion to solve this issue.
Use the swimmer's horizontal travel distance as the displacement in the x-direction. Given that the swimmer enters the water 1.68 metres from the board's end, the following is the answer:
x=1.68 m and v0x=3.04 m/s
Δx = v0x * t
calculating t:
t = 1.68 m / 3.04 m/s because x / v0x.
t = 0.5526 s
Thus, the swimmer enters the water in 0.5526 seconds.
"y" equals "v0y*t" plus "(1/2)*a*t2"
replacing the values with:
Δy = 0 + (1/2) * (-9.81 m/s²) * (0.5526 s)²
Δy = -1.70 m
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Suppose that 2 J of work is needed to stretch a spring from its natural length of 24 cm to a length of 42 cm. (a) How much work is needed to stretch the spring from 32 cm to 34 cm
Answer:
Workdone = 0.025 Joules
Explanation:
Given the following data;
Workdone = 2J
Extension = 42 - 24 = 18 cm to meters = 18/100 = 0.18m
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;
2 = ½*k*0.18²
2 = ½*k*0.0324
Cross-multiplying, we have;
4 = 0.0324k
k = 4/0.0324
k = 123.46 N/m
a. To find the workdone when e = 32, 34.
Extension = 34 - 32 = 2 to meters = 2/100 = 0.02m
Workdone = ½*123.46*0.02²
Workdone = 61.73 * 0.0004
Workdone = 0.025 Joules
Therefore, the amount of work (in J) needed to stretch the spring from 32 cm to 34 cm is 0.67.
What new question occurred to scientists after they discovered that the
ocean floor was not flat?
O A. Are there bathtubs that have shapes similar to that of the Mid-
Atlantic Ridge?
OB. Why is the ocean floor not flat and smooth like the bottom of a
bathtub?
C. How much cable will it take to go from North America to England?
OD. How deep is the ocean?
Answer:
b
Explanation:
The answer is B. Why is the ocean floor not flat and smooth like the bottom of a bathtub?
Scientists were surprised to find that the ocean floor was not a flat and featureless plain, but rather had mountains, valleys, and other geological features. This discovery raised questions about how these features formed and what processes were involved. Scientists began to investigate the causes of these features, such as plate tectonics and volcanic activity, and how they might have shaped the ocean floor over millions of years. Understanding the complex and dynamic nature of the ocean floor has since become an important area of study in earth science and oceanography.
an object falls from a hovering helicopter and hits the ground at a speed of 30m per seconds. how long does it take the object to reach the ground and how far does it fall? sketch a velocity-time graph for the object ( ignore air resistance
Answer:
45.9m
Explanation:
Given parameters:
Final velocity = 30m/s
Initial velocity = 0m/s
Unknown:
Time it takes for the object of fall = ?
Height of fall = ?
Solution:
For the first problem, we use the equation below to solve for t;
V = U + gt
V is the final velocity
U is the initial velocity
g is the acceleration due to gravity
t is the time taken
30 = 0 + 9.8 x t
30 = 9.8t
t = \(\frac{30}{9.8}\) = 3.1s
Now, height of fall;
V² = U² + 2gH
30² = 0² + 2 x 9.8 x H
900 = 19.6H
H = 45.9m
The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2
The frictional force of an object is the product of the normal force and coefficient of kinetic friction. Here the frictional force acting on the object is 16.4 N.
What is frictional force?
Frictional force is a kind of force acting on a body to resist it from motion. Thus, the direction of the force will be in negative with the magnitude. Frictional force is the product of coefficient of friction and the normal force.
The normal force acting on the object of mass 4.2 Kg is N = mg
N = 4.2 Kg × 9.8 m/s² = 41.16 N
Frictional force = ц N
= 0.40 × 41.16 N
= 16.4 N.
Therefore, the frictional force acting between the surface of the object and the floor is 16.4 N
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Your question is incomplete. But your complete question probably was:
The coefficient of kinetic friction between an object and the surface upon which it is sliding is 0.40 the weight of the object is 4.2 kg. What is the frictional force of the object?
looking at waves a and b. which description correctly describes the waves?; which example is not a part of the electromagnetic spectrum?
Electromagnetic waves are transverse waves composed by the perpendicular oscillating electric and magnetic fields.
EM waves have both Electrical and magnetic features.
they travel in the velocity of light (3*10⁸ ms⁻¹)
Electromagnetic spectrum is obtained according to their wave length and the frequency. Due to wave length range it's categorized. Here is the decreasing order of wave length and increasing order of different wave types in electromagnetic spectrum
Examples,
Radio WaveMicro WaveIR waveLight WaveUV raysX raysGamma raysCosmic raysWhen electromagnetic radiation interacts with single atoms and molecule, its behavior also depends on the amount of energy per quantum(photon)it carries wave number =1/wavelength in cm speed of light=wavelength x frequency energy = Planck's constant x frequency.
Therefore, electromagnetic spectrum depends on wavelength and frequency
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Sound wave A is moving through a medium that is decreasing temperature.
Sound wave B is moving from a liquid to a gas medium
Which statement can be made about both waves?
1. They will speed up
2. They will increase the
density of their medium
3. They will slow down
4. They will decrease the density of their medium
The satement that can be made about sound wave A and sound wave B is, they will slow down.
Relationship between sound wave and temperatureThe relationship between sound waves and temperature is given by the following formula;
\(v = \sqrt{\frac{\gamma RT}{M} }\)
The speed of sound wave increases with increase in temperature, and vice versa.
Speed of sound wave in liquid and gaseous mediumSound wave is mechanical wave, because it requires material medium for its propagation. Sound will travel faster in liquid medium than gaseous medium because of number of molecules per unit volume.
Thus, the satement that can be made about sound wave A and sound wave B is, they will slow down.
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At the base of a hill, a 90 kg cart drives at 13 m/s toward it then lifts off the accelerator pedal). If the cart just barely makes it to the top of this hill and stops, how high must the hill be?
Answer:
8.45 m
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 90 Kg
Initial velocity (u) = 13 m/s
Final velocity (v) = 0 m/s
Height (h) =?
NOTE: Acceleration due to gravity (g) = 10 m/s²
The height of the hill can be obtained as follow:
v² = u² – 2gh (since the cart is going against gravity)
0² = 13² – (2 × 10 × h)
0 = 169 – 20h
Rearrange
20h = 169
Divide both side by 20
h = 169/20
h = 8.45 m
Therefore, the height of the hill is 8.45 m
How to solve conservation of momentum
Answer:
Step 1: List the mass and velocity of the object. Step 2: Convert any values into SI units (kg, m, s). Step 3: Multiply the mass and velocity of the object together to get the momentum of the object.
The weight of an astronaut plus his space suit on the Moon is only 319 N. How much (in N) do they weigh on Earth?
Answer:
The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.
Explanation:
Newton's second law, called the fundamental law or fundamental principle of dynamics, states that a body accelerates if a force is applied to it. This law indicates that the net force applied on a body is proportional to the acceleration that the body acquires. The constant of proportionality is the mass of the body, so Newton's second law is expressed in the following formula:
F = m*a
Where:
F is the net force. It is expressed in Newton (N) m is the mass of the body. It is expressed in kilograms (Kg). a is the acceleration that the body acquires. It is expressed in meters over second squared (m/s²).The weight of an astronaut plus his space suit on the Moon is only 319 N. Then, being:
F= weight= 319 Nm= ?a = acceleration of the Moon's gravity, whose value is 1.62 m/s²you get:
319 N= m* 1.62 m/s²
Solving:
\(m=\frac{319 N}{1.62 \frac{m}{s^{2} } }\)
m=196.91 kg
The mass is an invariable quantity, regardless of the planet in which the astronaut plus his space suit on the Moon is, then you have:
F= weight= ?m= 196.91 kga = acceleration of the Earth's gravity, whose value is 9.81 m/s²replacing in the definition of force:
Weight= 196.91 kg* 9.81 m/s²
Weight= 1,931.69 N
The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.
Find the x-component of this vector: 12.1 m 48.4° Remember, angles are measured from the +x axis. X-component (m)
The x component of the vector is determined as 8.03 m.
What is the x -component of the vector?The x component of the vector is calculated by applying the following formula as shown below;
Vx = V cosθ
where;
V is the magnitude of the velocityθ is the angle of inclination of the vectorVx is the x component of the vectorThe x component of the vector is calculated as follows;
Vx = 12.1 m x cos (48.4⁰)
Vx = 8.03 m
Thus, the x component of the vector is determined as 8.03 m.
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a ball is thrown horizontally from a height of 1 m and lands 5 m away
Answer:
it's from gravity because when you throw something up it goes forward a certain distance
What is your opinion on Moonman? ( Do not delete this saying it is "racist". it is simply a character from a commercial called Mac Tonight from mcdonalds )
Answer:
I think hes cool
Explanation:
A 1.35 kg block is pulled across a flat, frictionless floor with a 3.07 n force at 32.0 above horizontal. What is the acceleration of the block
A softball is hit high into the air. As it rises the softball
As a softball hit with a large force, it rises in the air with decreasing the speed of the softball due to gravity of the earth and resistance of the air.
Why the speed of ball decreases when it goes into the air?Gravity pulls the object toward the earth with a constant acceleration. The magnitude of velocity decreases as the softball reaches to its maximum height. The direction of motion of a ball is changing when it rises into the air when thrown in vertical direction. The speed of the softball decreases because gravity pulls it towards the earth and makes the distance it can cover in one second decrease. When a softball is thrown vertically upwards, its velocity decreases.
So we can conclude that As a softball hit with a large force, it rises in the air with decreasing the speed of the softball due to gravity of the earth and resistance of the air.
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A student is using two circuits to investigate power consumption. She connects two identical light bulbs in series in one circuit and in parallel in the second circuit. What should she measure to calculate which configuration uses more power?
Responses
A The resistance of the bulbs and the potential difference of the battery.The resistance of the bulbs and the potential difference of the battery.
B The current flowing into each bulb and the potential difference across each bulb.The current flowing into each bulb and the potential difference across each bulb.
C The current flowing out of the battery and the resistance of each bulb.The current flowing out of the battery and the resistance of each bulb.
D The potential difference of the battery and the resistance of the battery.
The potential difference across the each bulb and the current entering each bulb.
What occurs if you connect two light bulbs in series?Each bulb in a straightforward parallel circuit receives the entire battery power. This is explains why the parallel circuit's lights will shine stronger than the series circuit's. The parallel circuit also has the benefit of maintaining an electricity even if one loop is disconnected.
When are two identical bulbs linked in both series and parallel?The same brightness is produced when two identical bulbs are linked in parallel as it is when they are connected in a series, which is why.
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A rescue plane flying horizontally at 72.6 m / s spots a survivor in the ocean 182 m directly below and releases an emergency kit with a parachute. Because of the shape of the parachute, it experiences insignificant horizontal air resistance. If the kit descends with a constant vertical acceleration of 5.82 m / s 2 , how far away from the survivor will it hit the waves?
Answer:
547 m
Explanation:
From law of motion
s = ut + ½at²
Where "t" is Time taken to reach Earth
s= distance= 182 m
a= vertical acceleration = 5.82 m / s 2
U= initial velocity in vertical position = 0
182= ½ × 5.82t²
t²=( 2× 182)/ 5.82
= 364/5.82
= 62.54
t= √62.54
t= 7.908s
horizontal distance travelled = speed x time
Horizontal speed= 72.6 m / s
horizontal distance travelled =72.6× 7.908
= 547 m
Hence, the survivor will it hit the waves at 547 m away
you are given a set of facts regarding a lens : object heigh, and dostance to objects. Given this jnformation, how can you tell if you're dealing with a concave or convex lens
Answer:
concave curves inward like an hourglass and convex is an outward curve like a football
Explanation:
hope this helps
A small frictionless 4.40 kg cart is released from rest at the top of a hill (assume the hill is perfectly straight and flat, like a ramp). A student is interested in how the motion of the frictionless cart on the hill differs from the motion of a solid cylinder when they are released from rest. The length of the hill from starting point to ending point is 366 m and the point of release for the cart is 53 m above the ending point.
a.) Determine the acceleration of the cart.
b.) Determine the time it takes the cart to travel from the starting point to the ending point.
Now, the solid cylinder with the same mass as the cart and a radius of 0.024 m is released from rest at the top of the hill. Assume there is more than enough friction so that the cylinder rolls without slipping.
c.) Determine the acceleration of the cylinder.
d.) Determine the time it takes the cylinder to travel from the top of the ramp to the bottom.
The acceleration of the cart is 43.12 m/s².
Time it takes the cart to travel from the starting point to the ending point is 3.8 sec.
Acceleration of the cylinder is a = g - (v²)/R.
Time it takes the cylinder to travel from the top of the ramp to the bottom is d = v_0t + 1/2at².
How to calculate acceleration and time?a.) The acceleration of the cart can be calculated using the formula g = 9.8 m/s², where g is the acceleration due to gravity. a = F/m = m × g = 4.40 kg × 9.8 m/s² = 43.12 m/s²
b.) The time it takes the cart to travel from the starting point to the ending point can be calculated using the kinematic equation:
d = v_0t + 1/2at²,
where d is the distance traveled, v_0 is the initial velocity (which is 0 for this case), a is the acceleration (determined in part a), and t is the time.
366 m - 53 m = 313 m
313 = 0t + 1/2(43.12)t² = 1/2(43.12)t²
313 = 21.56t², t² = 313 / 21.56
t² = 14.52, t = √14.52 = 3.8 sec.
c.) The acceleration of the cylinder can be calculated using the formula a = g - (v²)/R, where v is the linear velocity of the cylinder's center of mass and R is the radius of the cylinder.
d.) The time it takes the cylinder to travel from the top of the ramp to the bottom can be calculated using the kinematic equation:
d = v_0t + 1/2at²,
where d is the distance traveled, v_0 is the initial velocity (which is 0 for this case), a is the acceleration (determined in part c), and t is the time.
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experiments allow psychologists to isolate different effects by manipulating an independent variable, and keeping other variables constant. true or false?
Answer:
True
Explanation:
the independent variable would be like if the psychologist is experimenting the impact of sleep deprivation, sleep deprivation would be the independent variable that is being manipulated or changing its level systematically in the experiment.
2. A tennis ball machine launches balls horizontally with an initial speed of 5.3 m/s, from a height of 1.2 m.
a) What will the time of flight be for a tennis ball launched by the ball machine? (3)
b) What will the range of the tennis ball be? (2)
c) What will be the final velocity of the ball with which it reaches the ground? (3)
(a) The time of flight be for a tennis ball launched by the ball machine is 0.19 s.
(b) The range of the tennis ball be is 1.01 m.
(c) The final velocity of the ball with which it reaches the ground is 7.16 m/s.
Time of flight of tennis ballThe time of flight of the tennis ball is calculated as follows;
h = vt + ¹/₂gt²
1.2 = 5.3t + 0.5(9.8)t²
1.2 = 5.3t + 4.9t²
4.9t² + 5.3t - 1.2 = 0
a = 4.9, b = 5.3, c = 1.2
solve using quadratic formula
t = 0.19 s
Thus, the time of flight be for a tennis ball launched by the ball machine is 0.19 s.
Range of the tennis ballThe range of the tennis ball is calculated as follows;
R = vt
R = 5.3 x 0.19
R = 1.01 m
Final velocity of the ballThe final velocity of the ball with which it reaches the ground is calculated as follows;
vf = vo + gt
vf = 5.3 + 9.8(0.19)
vf = 7.16 m/s
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Why is it more difficult to roller blade across rough asphalt than it is to roller blade across smooth concrete?
A. Asphalt has more mass than concrete.
B. Friction on the roller blades is greater on asphalt than on concrete.
C. Roller blades exert a greater force on asphalt than they do on concrete.
D. The inertia of the roller blades is greater on asphalt then on concrete.
Answer:
The answer is B. Friction on the roller blades is greater on asphalt than on concrete.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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There is a new brand of water on the market advertised to relieve headaches. It is selling like crazy! When the Food and Drug Administration asked for scientific proof that the water actually does what it claims to do, the owners of the company produced a scientific research study that they had paid a group of scientists to perform. In the study researchers gave this special water to a group of 50 people who claimed to have a headache. The people drank the special water whenever they felt thirsty over a period of 24 hours. After the 24 hours, 99% of the people reported that their headache was gone.
Should the Food and Drug Administration trust this scientific study and allow the company to sell the water with this claim? Would this be an example of science or pseudoscience? Support your answer with at least three reasons.
Answer:
No, they should not trust the "scientific study" because the average headache last about 4 hours. After the 24 hours itself, the head ache would be gone, that's why 99% always say the headache "disappeared" The only way to prove the special water could do anything is if they did a study of the people who claim to have a headache to drink one bottle of the water and see what happens in the next 2-3 hours.
Explanation:
Answer:
This is obvious pseudoscience because the people could be lieing about there headache, because it's a very bonkers product, and there is no actually factual proof supporting there theory.
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a raw egg and a hard boiled egg are rotating about the same axis of rotation with the same initial angular velocity. with the aid of diagram, explain which egg will rotate longer
Answer:
Boiled egg rolls slower than a raw egg , because it has a higher moment of inertia than a raw egg . In order to conserve angular momentum , the angular velocity of the boiled egg decreases.The hard boiled egg moves as if it was one solid unit. The raw egg has a solid shell but various types of fluids inside that can move independently of the shell. When you turn the egg to cause it to spin this rotating or turning force is called a torque. How the boiled egg spins? The rotating force on the shell of the hard boiled egg spins the entire egg –shell and content because the content is solid and moves when the shell moves. This egg easily spins and spins longer than does the raw egg.Explanation:
Hence, Boiled egg spins longer than raw egg.What is the wavelength of the electromagnetic carrier wave transmitted by the sports fan radio network at a frequency of 1.05 x 10^6 hz
The wavelength of the electromagnetic carrier wave transmitted by the sports fan radio network with a frequency of 1.05 x 10^6 Hz is approximately 285.71 meters.
To determine the wavelength of an electromagnetic wave, we can use the equation:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).
Given the frequency of the carrier wave as 1.05 x 10^6 Hz, we can substitute these values into the equation to calculate the wavelength:
wavelength = (3.00 x 10^8 m/s) / (1.05 x 10^6 Hz)
By dividing these numbers, we get:
wavelength = 285.71 meters
Therefore, the wavelength of the electromagnetic carrier wave transmitted by the sports fan radio network with a frequency of 1.05 x 10^6 Hz is approximately 285.71 meters.
It's important to note that the wavelength and frequency of electromagnetic waves are inversely proportional. This means that as the frequency increases, the wavelength decreases, and vice versa.
In this case, since the frequency is relatively high, the wavelength is relatively short. Electromagnetic waves with shorter wavelengths, such as radio waves, are used for transmitting signals over long distances because they can travel through obstacles and around the Earth's curvature.
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Why does a watched pot never boil?
The lowest-pitch tone to resonate in a pipe of length L that is closed at one end and open at the other end is 200 Hz. Which one of the following frequencies will NOT resonate in the same pipe
a. 1800 Hz
b. 1000 Hz
c. 1400 Hz
d. 600 Hz
e. 400 Hz
Answer:
e. 400 Hz
Explanation:
In closed organ pipe, only odd harmonics of fundamental note is possible .
The fundamental frequency is 200 Hz . Then other overtones will be having following frequencies .
200 x 3 , 200 x 5 , 200 x 7 , 200 x 9 etc
600 Hz , 1000 Hz , 1400 Hz , 1800 Hz .
Frequency not possible is 400 Hz .
The separation distance in B is_____ times greater than in A, the force of attraction is
than A.
The separation distance in B is a number times greater than in A, then the force of attraction in B is less than A.
What is the force of attraction between two object?
The force of attraction between two charged object is determined by applying Coulomb's law.
Coulomb's law states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.
Mathematically, this law is written as;
F = Kq₁q₂/r²
where;
k is Coulomb's constantFrom the formula given above, as the distance of separation increases, the magnitude of the force of attraction between the charges decreases. Also, as the distance of separation between the charges decreases, the magnitude of the force of attraction between the charges increases.
Thus, the magnitude of the force of attraction between charged objects is a function of the magnitude of the charges and distance of separation between the charges.
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