Divide 66 words by 3 minutes to find the typing rate per minute. Then, multiply the typing rate by 5 minutes and 10 minutes to find how many words she can type during those time intervals, respectively.
Typing rate:
[tex]\frac{66\text{ words}}{3\text{ minutes}}=22\text{ words per minute}[/tex]Words typed in 5 minutes:
[tex](22\text{ words per minute)(5minutes)=110 words}[/tex]Words typed in 10 minutes:
[tex](22\text{ words per minute)(10 minutes)=220 words}[/tex]Therefore, Tia can type 110 words in 5 minutes and 220 words in 10 minutes.
An object is suspended from two cables that meet at a point above the object. One cable pulls with a force modeled by F1 = −78i + 44j. The other cable pulls with a force modeled by F2 = 87i + 80j. What is the angle between the cables? Round to the nearest degree.150°108°104°71°
From the information given, the forces are
F1 = −78i + 44j
F2 = 87i + 80j
We would apply the dot product.
F1F2 = <- 78, 44> * <87i, 80j>
F1F2 = - 78(87) + 44(80) = - 6786 + 3520
F1F2 = - 3266
|F1| = √[(- 78)^2 + 44^2] = √8020
|F2| = √[87^2 + 80^2] = √13969
The angle between them is
θ = Cos^-1[F1F2/(|F1||F2|)
θ = Cos^-1(- 3266/√8020 * √13969
θ = Cos^-1(- 0.30856)
θ = 108 degrees
the angle between the cables is 108 degrees
An Alaskan rescue plane traveling 43 m/s drops a package of emergency rations from a height of 108 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s^2. Where does the package strike the ground relative to the point directly below where it was released? What is the horizontal component of the velocity just before it hits? What is the vertical component of the velocity just before it hits? (Choose upward as the positive vertical direction)
Answer:
Explanation:
Given:
V₀ = 43 m/s
H = 108 m
g = 9.8 m/c²
____________
L - ?
Vₓ - ?
Vy - ?
1)
Fall time:
H = g*t² / 2
t = √ ( 2*H / g) = √ (2*108 / 9.8) ≈ 4.7 s
L = V*t = 43*4.7 ≈ 200 m
2)
Vx = V₀ = 43 m/s
Vy = - g*t = - 9.8*4.7 ≈ - 46 m/s
A ray of sunlight moves from the air into the denser medium of a pond. The light ray will? A) Be reflectedB) not be affected C) speed up D) slow down
When a ray of light passes from the rarer medium to the denser medium, it bends towards the normal.
When the ray of sunlight moves from the air into the denser medium of a pound, the light ray will slow down as it passes rarer to denser medium. It bends towards the normal.
Thus, the correct option is (D).
you have not eaten for four days. when you finally have a candy bar, which is most likely to occur? your ____ will be reduced, but your____ will not.
For a person who has not eaten for four days and then finally has a candy bar, your food drive will be reduced, but your food need will no.t
What is food?Food refers to any substance that is taken into the body and which contains nutrients that provide energy for the body and also provide the body with materials required for the growth and repair of body tissues.
There are seven classes of food that the body needs and they include:
carbohydratesfats and oilproteinsvitaminsmineralsfiberwaterFood drive refers to the urge to eat food and may be easily satiated.
Food need on the hand has to do with all the food that the body needs for healthy growth and is not easily met.
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The table shows the mass of and acceleration due to gravity for several
planets in the solar system. If air resistance is ignored, on which planet would
a space probe with a mass of 250 kg a have the highest speed after falling 25
m?
Planet
Mass, 1024 kg
Acceleration due to gravity,
m/s-
Venus
4.87
8.9
Earth
5.97
9.8
Uranus
86.8
8.7
Saturn
568
A. Earth
• B. Venus
• C. Saturn
O D. Uranus
Mass does not affect the speed of falling objects, As there is only gravity acting on them.
The mass of Uranus exists: 8.681 × 10²⁵kg
The radius of Uranus exists: 15,759.2 miles
What is meant by the acceleration due to gravity?Acceleration due to gravity exists as the acceleration gained by an object due to gravitational force.
Its SI unit exists m/s2. It contains both magnitude and direction.
The planet would be a space probe with a mass of 250Kg
The distance is 25m.
Mass does not affect the speed of falling objects, As there is only gravity acting on them.
The mass of Uranus exists m = 8.681 × 10²⁵kg
The radius of Uranus exists: 15,759.2 miles
Therefore, the correct answer is option D. Uranus
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Certain iguanas have been observed to run as fast as 10.0m/s.Suppose an iguana runs in a straight line at this speed for 5.00 s. The direction of motion makes an angle of 30.0° to the east of north. Find the value of the iguana’s northward displacement.
The value of the iguana’s northward displacement is 1 meter.
The velocity V of iguana is 10m/s.
The time for which iguana runs is 5 seconds.
The angle it is making with the north is 30°.
The velocity of iguana will have two components now,
One along east and one along north.
The component along east is Vcos(30°).
And the component along north is Vsin(30°).
The horizontal displacement of the iguana is,
Northward displacement = northward velocity × time.
The northward velocity is 10sin(30°).
Time is 5 seconds no matter where the iguana moves.
So,
Northwards displacement = 10sin(30°)/5
Northwards displacement = 10/10 = 1m
The displacement in north is 1 meter.
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Not sure how to do part a, b and c
Variables typically consist of space, time, and occasionally parts of momentum. The bicycle eventually travels at 13.8 m/s.
what exactly does momentum mean?According to Newtonian mechanics, an object's mass and velocity are combined to form its linear momentum, translational momentum, or just momentum. As a vector quantity with both a magnitude and a direction, it has both. When an object's mass (m) and velocity (v), another vector quantity, are known, the object's momentum (p) is also known.
what is significance of momentum?An object's mass, velocity, and direction are related by the concept of momentum. Force is produced whenever momentum changes. As a result, the force pushing against the object is identified by a change in momentum.
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What did Newton imagine on top of his imaginary mountain for his thought experiment on gravity?A. treeB. planeC. birdD. cannon
D. cannon
ExplanationNewton imagined a cannon on top of a mountain. Without gravity, the cannonball should move in a straight line. If gravity is present, then its path will depend on its velocity.( A and B)
If there were no forces of gravitation or air resistance, the body should follow a straight line away from Earth, in the direction that it was projected (E), If a gravitational force acts on the projectile, it will follow a different path depending on its initial velocity.
so, we can conclude the answer is
D. cannon
I hope this helps you
ANSWER IN PHOTO, NO LINK!
3. Draw additional masses to show how the block can be made to move toward point A. Be sure to draw the
string and label the mass of the block. For full credit, draw the minimum number of blocks required to make
the block move toward point A.
Answer:
Any mass greater than 150g attached to 100g will make the block move towards point A. Thus, there can be any number of blocks attached to it, but the total mass of the attached blocks must add up to 150g.
What is the unit of force in SI?The newton, abbreviated N, is the SI unit of force. These are base units that are pertinent to force.
The symbol for the length unit of a meter is m. the kilogram (kg), a unit of mass. s stands for the second, a unit of time.
How do you determine a seesaw's balance?Seesaws are regulated by a straightforward equation that states that for balance to occur, the force applied to one end of the seesaw multiplied by the distance from the pivot should equal the force applied to the other side of the seesaw multiplied by the distance from the pivot.
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At a construction site, a 30.0-kg bucket of concrete is
connected over a very light frictionless pulley to a 375-N
box on the roof of a building. (Figure 1) There is no
appreciable friction on the box, since it is on roller
bearings. The box starts from rest.
Answer:
What is the full question?
FIGURE 2 shows that a solid, frictionless cylindrical pulley with the radius 0.33 m is used to draw water from a well. A bucket of mass 1.53 kg is attached to a cord that is wrapped around the cylinder. We assume the cord has negligible mass and does not stretch or slip the pulley. Given that the moment of inertia of the pulley is 0.385 kg m².
(a) Calculate the angular acceleration a of the pulley and the linear acceleration a of the bucket.
(b)Determine the tension in the cord.
The angular acceleration a of the pulley and the linear acceleration a of the bucket are 12.85 rad/s² and 4.24 m/s² respectively.
The tension in the cord is 6.49 N.
What is angular acceleration?The angular acceleration of an object is the rate of change of angular velocity with time.
Apply the principle conservation angular momentum to determine the angular acceleration of the pulley.
τ = Iα
Fr = Iα
mgr = Iα
α = mgr/I
where;
m is mass of the bucketg is acceleration due to gravityr is the radius of the pulleyI is moment of inertia of the pulley.α = (1.53 x 9.8 x 0.33) / (0.385)
α = 12.85 rad/s²
The linear acceleration of the pulley is calculated as follows;
a = αr
a = 12.85 rad/s² x 0.33 m
a = 4.24 m/s²
The tension in the cord is calculated as follows;
T = ma
T = 1.53 kg x 4.24 m/s²
T = 6.49 N
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a boat traveling at 22.0 m/s when the driver see'sa log in the river ahead. The driver backs off on the throttle and slows the boat to 8.00 m/s in a time of 5.00 seconds What is the acceleration of the boat?
The acceleration of the boat is 2.8 m/s².
Acceleration is the fee of trade of the rate of an object with admire to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the internet pressure appearing on that object.
The acceleration is the rate of change of displacement. Acceleration is the price of an alternative to speed. velocity is a vector amount as it consists of each magnitude and path. Acceleration is also a vector amount as it's far just the rate of alternate speed. Newton s 2nd law of movement additionally referred to as the law of force and Acceleration, a pressure upon an item causes it to accelerate consistent with the method internet force = mass x acceleration.
So the acceleration of the object is at once proportional to the pressure and inversely proportional to the mass.
Calculation:-
v = u - at
8 = 22 - a×5
a = (22 - 8)/5
a = 2.8 m/s²
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The diagram represents a ball being kicked by a foot and rising at an angle of 30 degrees from the horizontal. The ball has a velocity of 5.0 meters per second. (Neglect Friction) If the angle between the horizontal and the direction of the 5.0 meters per second decreases from 30 degrees to 20 degrees, what is the magnitude of the horizontal component of the balls initial velocity
The magnitude of the horizontal component of the balls initial velocity if the angle between the horizontal and the direction of the 5.0 meters per second decreases from 30 degrees to 20 degrees is 4.7 m / s
cos θ = Adjacent side / Hypotenuse
θ = 20°
V = 5 m / s
Since the direction of ball makes a right angled triangle with the horizontal,
cos θ = [tex]V_{x}[/tex] / V
[tex]V_{x}[/tex] = cos 20° * 5
[tex]V_{x}[/tex] = 0.94 * 5
[tex]V_{x}[/tex] = 4.7 m / s
The formula used to solve is called as trigonometric ratios formulas. The basic formulae are:
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
Therefore, the magnitude of the horizontal component of the balls initial velocity is 4.7 m / s
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how might you change the number of people to decrease the carriages acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force applied on the item determines the object's acceleration.
What does the word "acceleration" mean?The definition of acceleration (symbol: a) in physics or physical science is the rate of change (or derivative with respect to time) of velocity.
How can you express speed in writing?The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).
What is the velocity in units?The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
Is zero acceleration possible?When an item is travelling at a constant speed, its acceleration can be zero. There won't be any acceleration because the speed is constant, hence there won't be any change in speed. Zero acceleration is shown by the graph above.
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The energy diagram shows the changes in energy during a chemical reaction.
Which statement best describes the total energy change of the system?
Potential energy
Reaction progress
• A. The reactants have higher potential energy, and energy is released.
absorbed.
• B. The reactants have higher potential energy, and energy is
absorbed.
C. The products have higher potential energy, and energy is
D. The products have higher potential energy, and energy 1S released.
B. The reactants have higher potential energy, and energy is absorbed is the statement that best describes the total energy change of the system.
What term best explains the energy shifts that occur during chemical reactions?The difference in the amounts of chemical energy that are stored in the products and reactants accounts for the energy change in a chemical reaction. Enthalpy refers to the system’s heat content or stored chemical energy.
What is potential energy?Potential energy can be described as the energy which a body possess because of its position. The potential energy can also be said as stored energy. The energy diagram that shows the changes in energy is called as a chemical reaction.
Potential energy and the Reaction progress are shown in the problem and from this the reactants are seen as the substance which reacts and form one or more than one product.
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When solving projectile problems, you may hear that “motion in the x- and y-directions are independent of each other.” What does this mean, in terms of your problem solving?
x and y directions are the component of projectile motion. x represents horizontal motion and y represents vertical motion.
There are the two components of the projectile motion - horizontal and vertical movement. And on the grounds that perpendicular components of movement are impartial of every other, these components of movement can be mentioned separately.
Projectile motion is a form of movement skilled by an object or particle that is projected close to Earth's surface and moves alongside a curved route under the action of gravity most effective.
Projectile motion is the movement of an item thrown into the air. After the preliminary pressure that launches the item, it only experiences the pressure of gravity. The item is known as a projectile, and its route is known as its trajectory.
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A mineral that forms when water evaporates is
a Gold
b Silver
C Halite
d Diamond
Answer:
Halite
Explanation:
A group of physics students launched a rocket in a field at their school. They recorded the time it took for the rocket to launch into the air and come back to the ground. They calculated their average time for their rocket to land to be 12.74 seconds.
1. How long did the rocket take to reach max height?
2. What is the velocity of the rocket at max height?
3. What is the initial velocity of the rocket?
4. What was the maximum height of the rocket?
The time taken by the rocket to reach maximum height is 6.37 s. The velocity of the rocket at maximum height is 62.43 m/s. The initial velocity of the rocket is 0. The maximum height of the rocket is 198.8 m.
1 ) Total time taken = 12.74 s
Time taken to reach maximum height = Time taken to reach the ground from the maximum height
Time taken to reach maximum height = 12.74 / 2
Time taken to reach maximum height = 6.37 s
2 ) a = g = 9.8 m / s²
v = u + a t
v = 0 + ( 9.8 * 6.37 )
v = 62.43 m / s
3 ) The initial velocity of the rocket is zero
4 ) According to equations of motion,
s = u t + 1 / 2 a t²
s = 0 + ( 1 / 2 * 9.8 * 6.37² )
s = 198.8 m
Therefore,
The time taken by the rocket to reach maximum height is 6.37 sThe velocity of the rocket at maximum height is 62.43 m / sThe initial velocity of the rocket is 0The maximum height of the rocket is 198.8 mTo know more about Equation of motion
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A car must cover a distance of 300 km in 3 hours. However, for the first 2
hours it only travels 150 km. At what speed must it travel for the rest of the
distance in order to complete the journey on time?
Answer:
150 km/h
Explanation:
After the first two hours, you have traveled 150km (given) which means that you still have 300km - 150km = 150km left to travel. Since you have already traveled 2 hours, that means you must travel the remaining 150km in 3hours - 2hours = 1hour. Assuming the answer is in km/hour, you will need to travel at a speed of 150km/1h = 150km/h for the remaining of the distance.
An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.55×10^4 N, and our hero's mass is 85.6 kg.
A) If the angle between the rope and the horizontal is θ = 10.5∘, find the tension in the rope.
B) What is the smallest value the angle θ can have if the rope is not to break?
The tension in the rope and the smallest value the angle θ can have if the rope is not to break
[tex]\theta=0.966 \textdegree[/tex]T=2232 NThis is further explained below.
The smallest value the angle θ can have if the rope is not to break:Generally, the equation for the tension is mathematically given as
[tex]2 T sin \theta = m g[/tex]
Therefore
2*T*sin(11.1) = 87.6 * 9.81
T=2232 N
the tension in the rope is T=2232 N
b)
Generally, the equation for the angle is mathematically given as
[tex]2*2.55E4*sin \theta = 87.6*9.81[/tex]
Therefore
[tex]\theta = arcsin( \frac{87.6*9.81}{(2*2.55E4))}[/tex]
[tex]\theta=0.966 \textdegree[/tex]
In conclusion, The smallest value the angle θ can have if the rope is not to break is
[tex]\theta=0.966 \textdegree[/tex]
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the diagram at right shows a person sitting in a chair riding on a ferris wheel. the chair is attached to the wheel by a rod. the ferris wheel turns with constant speed the mass of the person is two times that of the chair
The ranking of the boy's location in the ferris wheel ridding motion above comparing his felt weight from the highest to the lowest is 1, 2 and 4 tie, 3.
The correct answer choice is option c.
The correct image is attached.
Understanding the weight felt by the boy ferris wheel ridding.In motion above by the boy, the boy feels he weighs the greatest at location 3 among all the location simply because there is a force known as centripetal force which technically acts upward at that point which makes more weight be felt among all.
However, at the locations 2 and 4, the force actually was acting side ways, which would still not affect the weight from 3 in the circular movement. And at location, the weight felt feels the lowest among all.
In conclusion, the locations of the boy on a ferris wheel ridding from the greatest is highest to the lowest is 1, 2 and 4 tie, 3.
Complete question:
The diagram above represents a Ferris wheel-a circular ride that rotates in a vertical circle with seats where people sit. The numbers correspond to a seat in four difference places as the Ferris wheel rotates.
Imagine a boy sitting in this seat riding the ride with the Ferris wheel rotating in the direction shown (at constant speed). Rank the locations according to how much the boy would feel like he weighs,greatest first.
a. 1, 2, 3, 4
b. 1 and 3 tie, 2 and 4 tie.
c. 1, 2 and 4 tie, 3
d. 4, 3, 2, 1.
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Complete the following table about metric units
The change in the speed of the object is constant with constant increment of 5 m/s.
What is change in speed?The change in the speed of an object is the rate at which the distance covered by the object changes with time.
The change in the speed of the object at various time is calculated as follows;
at time, t = 0 second, change in speed (Δv) = 0
at time, t = 1 second, change in speed (Δv) = 5 m/s - 0 m/s = 5 m/s
at time, t = 2 seconds, change in speed (Δv) = 15 m/s - 5 m/s = 10 m/s
at time, t = 3 seconds, change in speed (Δv) = 30 m/s - 15 m/s = 15 m/s
at time, t = 4 seconds, change in speed (Δv) = 50 m/s - 30 m/s = 20 m/s
at time, t = 5 seconds, change in speed (Δv) = 75 m/s - 50 m/s = 25 m/s
Thus, we can conclude that, the data given in the table has time which increased gradually while the speed also increase gradually but with a constant increment.
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Can someone pls help meee
In the diagram the numbered parts are:
1. Muscle belly
2. Fascicle
3. Epimysium
4. Myofibril
5. Muscle fiber
6. Endomysium
7. single muscle fiber
8. H zone
9. Z disc
10. Sarcolemma
Explain anatomy of muscle?Each muscle is made up of fascicles, which are groups of muscle fibers surrounded by a connective tissue layer called perimysium. Within each fascicle, there are multiple units of individual muscle fibers surrounded by endomysium, a connective tissue sheath.A typical skeletal muscle has three parts: the origin, the belly, and the insertion. The belly is the widest part of a muscle. The tendon attachments are dealt with at the origin and insertion.
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Find the resultant of the following vectors:
ASAPPPPP!!!!!
The resultant vector is middle line which is the longest line representing the single effect of the two vectors at both ends.
What is resultant vector?A resultant vector is defined as a single vector that produces the same effect as the two or more vectors combined together.
A resultant vector is usually, drawn to join the head of the first vector to the tail of the second in a triangle method of vector addition.
Also, a resultant vector can be determined by applying parallelogram law of vector addition.
Mathematically, a resultant vector can be determined using this formula,
R² = a² + b² - 2ab cosθ
where;
a is the first vectorb is the second vectorθ is the angle between vector a and vector bA resultant vector is always bigger than the two vectors acting together.
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Cody's car accelerates from 0m/s to 45 m/s northward in 15 seconds. What is
the acceleration of the car?
According to the given statement the acceleration of the car is 3ms².
What does "acceleration" mean ?Depending on whether an object is moving much faster, slower, or in a different direction, its speed may change. Examples of acceleration include a falling apple, the moon orbiting the earth and a car which has stopped at a stop sign.
Which four forms of acceleration are there?Uniform acceleration, non-uniform acceleration, and average acceleration are the three different forms of accelerated motions.
Briefing:Let acceleration be 'a'
v = u + at
a = v - u/t
a = 45 - 0 /15
a = 45/15
a = 3 ms²
So, acceleration will be 3 m/s² .
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calculate the force exerted between two charged objects seperated by a distance of 0.6 m. one object has a charge of -5 C and the other has a charge of +2.0 C
The electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.
What is the formula to calculate the force between 2 point charges?
The coulomb's law is used to find the force between two point charges. The force can be calculated using the formula -
F = 1/4πε₀ |Q₁||Q₂|/r²
Given is two charged objects separated by a distance of 0.6 m such that one object has a charge of -5 C and the other has a charge of +2C.
The electrostatic force of repulsion between the two charges is given by-
F = 1/4πε₀ |Q₁||Q₂|/r²
F = 9 x 10⁹ x (5 x 2)/(0.6)²
F = 90 x 10⁹/0.36
F = 9 x 10¹¹/36
F = 0.25 x 10¹¹ N
Therefore, the electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.
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(1) If a man lifts a a 20-kg
bucket from a well and does 6
kJ of work, how deep is the
well? Assume the speed o the
bucket remains constant as it is
lifted.
If a man lifts a a 20-kg bucket from a well and does 6 kJ of work, the well will be 30.6 m deep.
W = m g h
W = Work
m = Mass
g = Acceleration due to gravity
h = Height
m = 20 kg
g = 9.8 m / s²
W = 6 KJ
W = 6000 J
h = W / m g
h = 6000 / 20 * 9.8
h = 30.6 m
W = m g h is derived from W = F * d. According to Newton's second law of motion, F = m a. Since the object is moving vertically upwards, a = g. Therefore, F = m g and hence W = m g h
Therefore, the well is 30.6 m deep
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Please answer the question on the photo
Answer:
your answers is option d 75 ohms
What is TRUE about the rifling of a gun?
O
It produces grooves and lands.
It is another name for the inside of a gun barrel.
O
It only appears in .38 caliber firearms.
O
It can only be seen with a microscope.
Answer:
It produces grooves and lands.
Two 1.6 cm-diameter disks face each other, 1.2 mm apart. They are charged to ± 15 nC. What is the electric field strength between the disks?
The electric field between the disks is 8.43*10^6 N/C
What is electric field of charged spherical spheres ?
A simple application of Gauss' law will yield the electric field of a conducting sphere with charge Q. In the case of a sphere-shaped Gaussian surface with radius r > R, the electric field is directed outward and has the same strength at every point along the surface. Simply multiplying the electric field by the spherical surface's area yields the electric flux.
The electric field is observed to be the same as a point charge Q at the sphere's centre. A Gaussian surface at r R will encompass no charge because all the charge will be on the conducting surface, and by virtue of its symmetry, can be observed to be zero at all places inside the sphere
Diameter of the disks = 1.6cm
Radius of the disks = 1.6/2= 0.8cm= 0.008m
gap between 2 disks d = 1.2mm = 0.0012m
Charge Q = ±15nC
E =σ/ϵ = Q/Aϵ = 15*10^-9/(8.854*10^-12*3.14*(0.008^2))
= 8.43*10^6 N/C
here,
σ (sigma) is surface charge density (C/m^2) and
ϵ (epsilon) is permittivity of free space
The electric field between the disks is 8.43*10^6 N/C
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