The final velocity of the bicycle with initial velocity 7.6m/s and acceleration 4.2 m/s² is 28.4 m/s.
What is Velocity?
velocity is defined as the displacement per unit time.
What is Acceleration?
Acceleration is defined as the rate of change of velocity per unit time
i.e.
acceleration = (final velocity (v)-initial velocity)/time taken (t)
given:
initial velocity of the bicycle (u) = 7.6m/s
acceleration of the bicycle (a)=4.2m/s²
displacement of the bicycle=89m
using newtons third law of motion :
v²-u²=2×a×s
using the given value in question we get
v² = (7.6)²+2×4.2×89
v=28.4 m/s
the final velocity of the bicycle with initial velocity 7.6m/s and acceleration 4.2 m/s² is 28.4 m/s.
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In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue).
The top of a pool table is a height ℎ=2.75 ft from the floor. If a player's ball lands a distance =16.50 ft from the table edge, what is her break shot speed 0?
The break shot speed of the player is determined as 96.5 ft/s.
Time of motion of the playeruse the following kinematic equation to determine the time of motion of the player.
h = vt + ¹/₂gt²
h = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 2.75/32.17)
t = 0.171 s
break shot speedvx = x/t
vx = 16.5 ft / 0.171 s
vx = 96.5 ft/s
Thus, the break shot speed of the player is determined as 96.5 ft/s.
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Two point charges Q₁ = +6.00 nC and Q₂ = -2.00 nC are separated by 45.0 cm.
(a) What is the electric potential at a point midway between the charges?
V
(b) What is the potential energy of the pair of charges?
J
What is the significance of the algebraic sign of your answer?
Positive work must be done to separate the charges.
Negative work must be done to separate the charges.
Answer:
(a) The electric potential at a point midway between the charges is 160 V.
(b) The potential energy of the pair of charges is -2.4x10⁻⁷ J.
What is electrical potential energy?
The effort necessary to assemble a system of point charges by bringing them close together, as in the system from an infinite distance, is defined as the electric potential energy of the system. Alternatively, the electric potential energy of any given charge or system of charges is defined as the total work performed by an external agent in moving the charge or system of charges from infinity to the current configuration without acceleration.
Explanation:
The electric potential at a point between two point charges Q₁ = +6.00nC and Q₂ = -2.00 nC separated by 45.0 cm is found to be 160 V and the potential energy of the pair of charges is -2.4 x 10⁻⁷ J.
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A river is moving east at vWE = 2.29 m/s. A boat starts from the dock heading θ = 39.3 degrees north of west at vBW = 7.18 m/s, relative to the water. The river is w = 1130 m wide.
What is the speed of the boat, in m/s, with respect to Earth?
Answer:
The speed of the boat, in m/s, with respect to Earth, is vBE = 7.52 m/s.
Explanation:
vBE = vBW + vWE
vBE = 7.18 m/s + 2.29 m/s
vBE = 7.52 m/s
the magnitude of B-3A
Answer:
the magnitude of b 3A
Explanation:
2b 1 a
How many acres are in 1 square mile? One acre is equal to 43,560 ft2.
Answer:
There are 640 acres in 1 square mile I think
6. A swimming pool has the dimensions (1.w.h)
28.5 mx 10.0 mx 2.30 m. When it is full of water,
what is the force on the bottom?
The force exerted at the bottom of the swimming pool is 6.42 × 10⁶ N.m².
The length of the swimming pool is l = 28.5 m.
The breadth of the swimming pool is b = 10 m.
Then the area of the swimming pool is:
A = l × b
A = 28.5 m × 10 m
A = 285 m²
The depth of the pool is h = 2.30 m
The pressure exerted at the bottom of the pool is equal to the density of water.
P = ρ × g × h
P = 1000 kg/m³ × 9.8 m/s² × 2.30 m
P = 22540 N
Therefore, the force exerted by the water at the bottom of the swimming pool is:
F = P × A
F = 22540 × 285
F = 6.42 × 10⁶ N.m²
Hence, the force exerted on the bottom is 6.42 × 10⁶ N.m².
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If you were a member of Congress, what legislation would you introduce if acid rain from a coal
There are many reasons. The easiest solution is because the rain that we remember acidic has a low pH; it has a better amount of hydrogen ions.
Acid rain manipulation implies three adjustments a notably extra complicated and cumbersome regulatory program beneath the Clean Air Act, new emission manipulation prices for initial rollback requirements and next offsets, and on account of these, new impediments to utility and commercial plant creation, expansion, and modernization.
The Acid Rain application (ARP) has brought widespread discounts in sulfur dioxide (SO2) and nitrogen oxide (NOX) emissions from fossil fuel-fired strength flora, full-size environmental and human fitness blessings, and a ways lower-than-anticipated prices.
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Didn't mean the first rating. It wouldn't allow me to change it. D is correct. Thank you :)
Answer:
ok
Explanation:
je cuene8snw72me8rntirn3ue 2 eje eue due rbd
If one oscillation has 3.0 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?
The ratio of their amplitudes is 3.
The relation between energy and amplitude is as follows:
[tex]E_{1} = \frac{1}{2} KA_{1} ^{2}[/tex]
[tex]E_{2} =\frac{1}{2} KA_{2} ^{2}[/tex]
As, we know , one oscillation has 3.0 times the energy of a second one of equal frequency and mass i.e.,
[tex]E_{1} = 3E_{2}[/tex]
So, [tex]\frac{1}{2} KA_{1} ^{2} = 3(\frac{1}{2}KA_{2} ^{2} )[/tex]
[tex]A_{1} ^{2} = 3A_{2} ^{2}[/tex]
[tex]\frac{A_{1}^{2} }{A_{2}^{2} } = 3[/tex]
Therefore, the ratio of their amplitudes is 3.
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Give four reason why seeds are nursed
Answer:
1)It is possible to provide favourable growth conditions.
2) It is convenient to look after the 'Baby' seedlings .
3) Eliminates the problem of difficult soils
4) Easy weed control.
Explanation:
please make my answer as brainelist
Answer:
1. It is practical to care for the "Baby" seedlings.
2) It is possible to provide favorable conditions for growth, including germination and expansion.
3) Removes the issue of problematic soils.
4) Simple weed management.
5) Lower field management expenses.
6) Increased consistency of the crop.
7) Higher yields.
8) Better utilization of hybrid seeds.
9) A shorter growing season and more effective use of the land.
10) More precise harvest date prediction.
Explanation:
Plants are grown using the indirect seedling technique known as transplantation. This process involves growing seeds into seedlings inside nurseries, a controlled environment, and then transferring those seedlings to a field.
The seeds are not exposed to the risk of direct seedling damage from birds, rats, snails, and other biotic and abiotic stressors, which is one of the many benefits of this method.
Since the primary plant and the weeds are not the same age, there is a less crop-weed competition using this technique.
With this technique, even alien plants have time to adapt and flourish in their new environment.
A skateboarder initially traveling at 1.8 m/s accelerates at a rate of 1.5 m/s² for 2.5 s. How far does the skateboarder go in this time?
The skateboarder will travel a distance of 9.19 m
We know that,
a = ( v - u ) / t
Δv = ( v + u ) / 2 ( If acceleration is constant )
Δv = d / t
where,
a = Acceleration
v= Final velocity
u = Initial velocity
t = Time taken
d = Displacement
Δv = Average velocity
Given that,
u = 1.8 m / s
a = 1.5 m / s²
t = 2.5 s
a = ( v - u ) / t
1.5 = ( v - 1.8 ) / 2.5
v = 3.75 + 1.8
v = 5.55 m / s
Δv = ( 5.55 + 1.8 ) / 2
Δv = 3.675 m / s
d = Δv * t = 3.675 * 2.5
d = 9.19 m
If the initial and final velocity is known, average velocity can be calculated by taking the average value of initial and final velocity, if the acceleration is constant.
Therefore, the skateboarder will travel a distance of 9.19 m
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At Boston's Fenway Park, it is 310 feet (94.5 m) from homeplate to the left field wall The Green Monster which is 30 feet (9.2 m) high. If a batter hits a baseball at an initial height of 0.9 m, given the following velocities, does it clear the wall, hit the wall, or fall short?
If the velocity of x direction is 25 m/s
If the velocity of y direction is 20.5 m/s
Find the maximum height
Baseball will hit the wall due to less height from the The Green Monster wall.
from the data, we have in
velocity of x direction is 25 m/s
velocity of y direction is 20.5 m/s
now, the horizontally:
velocity=distance/time
time=distance/velocity
time=94.5/25
t=3.76sec
now for vertically: we will apply kinematics equation
s=ut+[tex]\frac{at^2}{2}[/tex]
now putting the values,
s=77.08-69.27
s=7.80m
now,
the initial height from baseball hit=0.9m
now, total height=0.9+7.80
s=8.7
8.7 m is less than wall height
so it will hit the wall
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. Which pair of concurrent forces could produce
a resultant force having a magnitude of 15.
Newtons?
1) 10. N. 10. N
3) 4.7 N. 4.7 N
2) 10. N. 30. N
4) 4.7 N. 5.0 N
Answer:
Only 1)
3) and 4) can't be added to produce 15
2) 10 and 30 cannot produce a force of less than 20
Aliens are bombarding the Earth with asteroids from an orbit of 100km. If they launch the
asteroid with a speed of 100.0m/s, how long do the earthlings have to evacuate their city?
Distance is the overall motion of an object with no regard to its path. we can define distance as how much floor an item has included no matter it's beginning or ending point.
Given,
Distance = 100km
=100000
Speed =100m/sec
Distance=speed × time
Time= [tex]\frac{distance}{speed}[/tex]
Time =100000/100
time =1000 sec
Distance is a numerical or on occasion qualitative size of how far apart items or factors are. In physics or regular usage, the space might also check with a physical length or an estimation primarily based on other standards.
Displacement is described because of the alternate the function of an item. it's miles a vector amount and has a course and value. it's miles represented as an arrow that points from the beginning role to the very last function. as an example- If an item moves from A role to B, then the item's function modifications.
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1. Brittney Vargas undergoes 2 displacements while playing field hockey. First, she goes
26.5 m, West. She then turns and goes 18.7 m, South. What is Brittney's resultant
displacement? (Magnitude and direction!!!)
The resultant displacement is 32.4 m due west of south.
What is the displacement?The term displacement has to do with the change in the position of a body in a particular direction. Displacement is a vector quantity. We have to find the resultant displacement algebraically;
Hence;
Resultant displacement = √((26.5)^2 + 18.7)^2
Resultant displacement = 32.4 m due west of south
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The graph provided represents voltage and current data for resistor R. What is the resistance of R?
0.50 Ω
2.0 Ω
9.0
4.5
B. The resistance R of the circuit is determined as 2.0 ohms.
What is ohm's law?
Ohm's Law states that the current flowing in a circuit is directly proportional to the applied potential difference and inversely proportional to the resistance.
V = IR
R = V/I
The slope of the given graph is the resistance of the circuit.
Choosing point (0 A, 0 V) and (4.5 A, 9 V)
R = ΔV/ΔI
R = (9 - 0 ) / (4.5 - 0)
R = 9/4.5
R = 2.0 ohms
Thus, the resistance R of the circuit is determined as 2.0 ohms.
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A fishing boat leaves a marina with a constant speed of 3.4 m/s. A speedboat leaves the marina 12 s later with an initial speed of 2.8 m/s and an acceleration of 1.7 m/s2. Let the time the speedboat leaves the marina be t = 0 and let the direction of travel of both boats be the positive x direction.
Write position-time equations for fishing boat.
Express your answer in terms of t .
When does the speedboat catch up with the fishing boat?
(a) The position-time equations for fishing boat is x = 3.4t + 40.8
(b) The time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
Position-time equations for fishing boat
The position-time equations for fishing boat will be obtained by applying the principle of relative velocity as follows;
Let the time when the speedboat catches up = t
let the total time spent by fishing boat = t + 12
Distance traveled by the fishingx = 3.4(t + 12)
x = 3.4t + 40.8
Distance between between the fishing boat and speed boatfishing boat is moving at a constant speed = 3.4 m/s
speed boat started moving 12 seconds later,
distance between the boats = 3.4 m/s x 12 s = 40.8 m
final velocity of the speedboatv = u + at
v = 2.8 + 1.7t
set up the following equation to determine the time when the two boats meet.
vt - x = 40.8
t(2.8 + 1.7t) - (3.4t + 40.8) = 40.8
2.8t + 1.7t² - 3.4t - 40.8 = 40.8
1.7t² - 0.6t - 81.6 = 0
solve the quadratic equation using formula method as shown below;
a = 1.7, b = -0.6, c = -81.6
t = 7.1 seconds
Thus, the time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
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Mudflows composed of soil, volcanic debris, and water can occur as the result of an explosive volcanic eruption. What are these mudflows called?
These mudflows are called Lahar.
A quickly moving mixture of rock debris and water that begins on a volcano's slopes is referred to as a lahar in Indonesian. Other names for lahars are volcanic mudflows and debris floods. The size, pace, and volume of material transported by a moving lahar can constantly alter as it rushes downstream. It resembles a swirling slurry of wet concrete.
The melting of snow and ice as well as the ingestion of river or lake water by the moving slurry may both add to its water consumption. A lahar's starting flow may be quite tiny, but as it entrains and integrates everything in its path, including rocks, dirt, vegetation, even structures like houses and bridges, it may increase in volume.
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Number of Humans
(Billions)
The World's Population Growth
7.0-
6.0
5.0-
4.0
3.0
2.0-
1.0-
0
1000
1200
+
1400
1600
1800
2000
Answer: The world population increased from 1 billion in 1800 to around 8 billion today. The world population growth rate declined from around 2% per year 50
Explanation:
What can you conclude about mass and speed as they relate to kinetic energy?
Answer: The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity. This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.
Explanation:
Answer: Mass and speed are both contributors to the amount of kinetic energy in a moving object.
Explanation: Edmentum answer
What equation is used to determine the total resistance in a series circuit?
R = R1 + R2 + R3
This is the formula for resistance in a series circuit.
Two trains leave a train station traveling in the same direction. They leave at the same time. Train A moves at 41.1 mph and Train B moves at 26.5 mph. How long will it take Train A to be 39.1 miles ahead of Train B?
The time taken for Train A to be 39.1 miles ahead of Train B is 2.7 hours
How to determine the relative speedSpeed of Train A = 41.1 mphSpeed of Train B = 26.5 mphRelative speed =?Relative speed = 41.1 - 26.5
Relative speed = 14.6 mph
How to determine the time to be 39.1 miles apartRelative speed = 14.6 mphDistance = 39.1 milesTime =?Relative speed = distance / time
14.6 = 39.1 / time
Cross multiply
14.6 × time = 39.1
Divide both side by 14.6
Time = 39.1 / 14.6
Time = 2.7 hours
Thus, it will take train A 2.7 hours to be 39.1 miles ahead of Train B
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14. Sometimes, gas particles are similar to
billiard balls on a pool table. Explain how their
behavior is similar.
Gas particles and billiard balls are similar in several ways. They are both small and have a lot of energy. They move randomly. They exert pressure on their surroundings.
Gas particles are about 100,000 times smaller than the width of a human hair, and they have a lot of kinetic energy, which is the energy of motion. Billiard balls are also small, and they have a lot of kinetic energy when they are moving.
They move randomly. Gas particles and billiard balls move randomly in all directions. They collide with each other and with the walls of their container, but they never stop moving.
They exert pressure on their surroundings. The pressure of a gas is caused by the collisions of the gas particles with the walls of their container. The pressure of a billiard ball is caused by the collisions of the billiard ball with the surface of the pool table.
However, there are also some important differences between gas particles and billiard balls:
Gas particles are much smaller than billiard balls. This means that gas particles have a much lower mass than billiard balls.
Gas particles are not solid objects. They are actually just a collection of atoms or molecules that are moving very quickly. Billiard balls, on the other hand, are solid objects.
Despite these differences, gas particles and billiard balls are both good models for the behavior of matter at the molecular level.
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The average monthly temperatures in Lima, Peru are graphed below.
Which of the following conclusions could be made from this data?
A. It tends to rain more in July than in December.
B. It tends to be warmer in February than in August.
C. It tends to be warmer in July than in December.
D. It tends to rain more in February than in August.
Answer:
B. It tends to be warmer in February than in August.
Explanation:
Glad to help.
Reacting quickly to avoid being struck, the diner moves 2.00 m horizontally directly toward the waiter opening the champagne bottle. Determine the horizontal distance, d in meters, between the waiter and the diner at the time the cork reaches where the diner had previously been sitting.
The horizontal distance d in meters between the waiter and the diner at the time the cork reaches where the diner had previously been sitting is 9.7 m
What is distance?The term distance refers to the quantity of length between two points. it is usually measured in meters but has other units.
Given data
u = 15.6
∅ = 78.5 deg
g = 9.81
solving for time tt = 2 * u * sin ∅ / g
t = 2 * 15.6 * sin 78.5 / 9.81
t = 30.57 / 9.81
t = 3.12 s
Solving for horizontal distance, d in metersd = u * co ∅ * t
d = 15.6 * cos 78.5 * 3.12
d = 9.7 m
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complete question
The cork from a champagne bottle slips through the hands of a waiter opening it, moving with an initial velocity v0 = 15.6 m/s at an angle θ = 78.5° above horizontal. A diner is sitting a horizontal distance d away when this happens. Assume the cork leaves the waiter’s hands at the same vertical level as the diner and that the cork falls back to this vertical level when it reaches the diner. Use a Cartesian coordinate system with the origin at the cork's initial position.
Calculate the time, td in seconds, for the cork to reach the diner.
Reacting quickly to avoid being struck, the diner moves 2.00 m horizontally directly toward the waiter opening the champagne bottle. Determine the horizontal distance, d in meters, between the waiter and the diner at the time the cork reaches where the diner had previously been sitting.
A person walking through snow sinks into it. The person makes a change so that they do not sink as far next time they go out. What do they do?
A Crouch as they walk to lower their centre of mass.
B Run as fast as they can to increase the power they dissipate.
C Wear shoes with a much larger area on the bottom to increase the area of their feet in contact with the snow.
D Wear a heavy backpack to increase their weight and so make them more stable.
In order to not to sink in snow they Wear shoes with a much larger area on the bottom to increase the surface area of their feet in contact with the snow
The size of the snow shoes prevents them from sinking into the snow. They have a big surface. since the relationship between surface area and pressure is inverse. Therefore, when the surface area is big, less pressure will be placed on the ground by the shoes.
In comparison to the bottoms of shoes alone, the snowshoes have a larger contact surface with the snow. Because they cover a larger surface area than would be the case if he were wearing only shoes, they lessen the pressure that the person's weight puts on the snow. will not become as firmly embedded in the snow as a result
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If we try to walk on snow, our feet will sink in the snow because our feet has less surface area.
We know that lesser the surface area the more is the pressure on the surface. If we put on skies, we can move over the snow easily because skies have larger surface area and hence decrease the pressure on the snow.
Hence decrease the pressure on the snow while we walk on snow.
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An object is moving forward along a straight path. Find the object’s position relative to it’s starting point if it moves 12.8 cm/s for 0.5 min.
The distance traveled by the object from its initial position is 384 cm.
Distance is the sum of an object's movements, regardless of direction. Without respect to the object's starting or finishing positions, distance can be defined as the amount of space it has traveled.
An object is moving in a straight path.
The speed of the object from its initial position is 12.8 cm/s.
The object is moving for 05 minutes.
Then, t = 0.5 min = 0.5 × 60 = 30 seconds.
Now, the speed of an object is the distance of the object per unit time.
Therefore,
s = d / t
d = s × t
d = ( 12.8 cm/s ) × ( 30 s )
d = 384 cm
Hence, the object's position from its initial position is 384 cm.
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If you lift a one liter water bottle over your head by one half meter, determine:
a) The amount of force you a =
Newtons or 2.2 lbs
1.96 Newton amount of force needed to lift a one liter water bottle over the head by one half meter.
Given that water has a density of 1 kg/L, a kilogram of water weighs precisely one litre.
we have given volume = 1 litre
from density we can find mass of water
density=mass/volume
mass=density×volume
mass= 1 × 1000
mass=1000g or 1 kg
now we have to find force
h=0.5m
force= Mgh
where m stands for mass in kilograms, g for gravity's acceleration (9.8 m/s2 at the earth's surface), and h for height in meters.
now put the values in equation
F=1 kg×9.8×0.2
F=1.96 Newton
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Suppose you need to design a parachute system to help a remote camera land safely
a at the bottom of a cave. The camera will drop from a height of one story. It has a
mass of about 500 g A carton of eggs inside a box will model the camera, For your
test to be successful, none of the
eggs can break when the box lands. You may use
string, plastic bags, paper, and any fabrics you have a to make a model parachute.
Identify the criteria and constraints. Describe your model and draw a picture of it.
Describe how you could test your model and what you would do after the first test.
The correct answer is hang glider.
A hang-glider cannot take off from low ground since it has no power. It needs to be launched from a high location, such a mountain or a hill. The major force acting on a hang-glider is gravity. The weight of the wing and the pilot together is this. The push that keeps the aerofoil flying through the air is produced by the weight. The hang-aerofoil glider's wing's form prevents it from falling to the ground like a stone. It results in lift. An area of low pressure is created by the aerofoil's acceleration of the air passing over the top of the wing. The air moving beneath the wing is compressed as the wing moves forward and downward. After then, the aerofoil is lifted up into the region of low pressure.
The air will gradually drop if it is still. A hang-glider descends at a speed of roughly 3.6 km/h (slow walking), or about 1 meter per second. A hang-glider needs to locate air coming up at the same rate as the glider is going down in order to maintain height. A hang-glider can fly along a cliff without losing height, for instance, if there is a light breeze coming straight from the sea, the air is being forced vertically upward by the cliff at 3.6 km/h, and the glider is flying over a vertical coastal cliff. The glider will begin to gain altitude in a stronger breeze.
Some hang-glider pilots equip their craft with tiny motors and propellers. They become microlights as a result and can now take off and climb from flat ground like a regular aircraft.
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Consider a 2D plate with surface area A = 100 cm2
that we charge with a certain
charge Q. How large does Q need to be for the field of the plate to levitate a load of m = 100 kg
that has charge q = 25 µC?
The value of charge in the plate to levitate a load of mass of 100 kg will be 1.33 x 10^-5 C.
The electric field(E) produced by a 2D plate is given by the following formula:
E = σ/2ε
Here σ is the surface charge density = Charge/Area = Q/A
To levitate a plate, the force exerted by this field should be equal to the weight of the load.
Thus,
Electric force due to plate = Weight of the load
qE = mg
Putting the given values in the above equation
Q x Q/2Aε = mg
Q^2 = mg(2ε)(A)
On solving
Q = 1.33 x 10^-5 Coulombs.
Thus, The value of charge in the plate to levitate a load of mass of 100 kg will be 1.33 x 10^-5 C.
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