The answers to your questions are as written below
A) capacitance of a parallel plate capacitor = 442.5 * 10⁻¹³ F
B) The charge on each plate is = 2655 * 10⁻¹³ C
C) The electric field between the plates is ; 2 * 10³ N/C
D) The estimated area of the plates is ; 1.695 * 10⁹ m²
A) Calculate the capacitance of a parallel plate capacitor
Plate dimension = 30 cm * 5 cm
Air gap ( d ) = 3 mm = 3 * 10⁻³ m
First step : calculate the area of the plate
Area of plate = 30 * 10⁻²m * 5 * 10⁻² m
= 150 * 10⁻⁴ m²
Next step : determine the capacitance
Capacitance = ε₀A / d
= ( 8.85 * 10⁻¹² * 150 * 10⁻⁴ ) / 3 * 10⁻³
= 442.5 * 10⁻¹³ F
B) Calculate the charge on each plate if a 6-V battery is connectedcharge on each plate can be calculated with the formula below
Q = CV
= 442.5 * 10⁻¹³ * 6
= 2655 * 10⁻¹³ C
C) Determine the electric field between the platesElectric field between plates ( E ) = V / d
= 6 / 3 * 10⁻³
= 2 * 10³ N/C
D) Estimate the area of the platesRequired capacitance = 5 F
Air gap ( d ) = 3 * 10⁻³ m
applying the equation below
C = ε₀A / d -----
5 = ( 8.85 * 10⁻¹² * A ) / 3 * 10⁻³
Therefore A :
A = ( 5 * 3 * 10⁻³ ) / 8.85 * 10⁻¹²
= 15 * 10⁻³ / 8.85 * 10⁻¹²
= 1.695 * 10⁹ m²
Hence we can conclude that the answers to your questions are as written above.
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Calculate the capacitance of capacitor having 5V voltage and energy of 40J.
The current in the wires of a circuit is 60.0 milliAmps. If the
voltage impressed across the ends of the circuit were tripled
(with no change in its resistance), then its new current would
be milliAmps.
Answer:
180 m amp
Explanation:
V = IR
v/r = i mutiply both sides by
3
3v / r = 3 i so the current will triple to 180 mAmp
I will give brainlisted for the correct answer!
2. Box A has 2x the mass of Box B. Compare the inertia of the 2 bodies.
Box A has 2x the mass of Box B so Box A has more inertia as compared to Box B.
Relationship between inertia and massMore the mass of an object, there is more inertia of the body. Thus, if mass of two bodies is same their inertia will also be same. Hence, inertia of A and B will be same as mass of both A and B are same.
So we can conclude that Box A has 2x the mass of Box B so Box A has more inertia as compared to Box B.
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A constant force of 10N is applied to a 2−kg crate on a rough surface that is sitting on it. The crate undergoes a frictional force against the force that moves it over the surface. (a) Assuming the coefficient of friction is \mu_k=0.24μ k =0.24, find the magnitude of the friction force opposes the motion?(b) What is the net force on the
WITH EXPLANATION PLEASE.
Answer:
Explanation:
The kinetic friction between crate and the surface can be calculated as follows: [tex]f_{k}=\mu_{k}N=\mu_{k}mg=(0.24)(2)(10)=4.8 N[/tex]
Assume that the direction of the 10 N constant force is on the right, the kinetic friction will go the left, then:
[tex]\sum F=F_{net}=F-f_{k}=10-4.8=5.2 N[/tex]
A constant force of 10 N is applied to a crate of mass 2 kg on a rough surface, then the net force on the crate is 5.2 N
What is friction?Friction is the resistance to a thing sliding or rolling over another solid object. Although frictional forces can be helpful, such as the traction required to walk without sliding, they also provide a significant level of resistance to motion.
The forces of attraction, also called as adhesion, between both the contact zones of the surfaces, that are always microscopically uneven, seem to be the main contributor to friction among metals.
These "welded" joints are sheared, and friction is created by the irregularities of a harder surface scuffing down against the softer surface.
From the given data in the question,
Firstly, calculate the friction between the crate and the surface,
[tex]f_k\\[/tex] = [tex]\mu_k[/tex]mg
= (0.24)(2)(10)
= 4.8 N
Now, let's calculate the net force,
ΣF = F(N) = F - [tex]f_k[/tex]
= 10 - 7.8
= 5.2 N
Therefore, the net force will be equal to 5.2 N.
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What is the difference between magnitude of displacement and magnitude of velocity
if a copper coin with a volume of exactly 50 cubic cm is dropped into the volume of water 4cubic cm,how much water will be overflown (water is half way of the can)
Answer:
50 cubic cm
Explanation:
As the water displaces 50 cubic centimeters the amount of water that must leave the container for it to be able to be dropped into it is also 50 cubic as the water which was in its place must have gone somewhere.
3. Use the information about acceleration shown in Figure 2 as evidence to determine the magnitude of the net force acting on the scooter.
a. The net force from t = 1 to t = 6 s is 112 N
b. The net force from t = 7 to t = 12 s is 0 N
ForceForce is that thing which causes a change in motion of an object. The net force is given mathematically as F = ma where
m = mass of object and a = acceleration of objectNet forceThis is the resultant sum of all the forces acting on an object. It is also given by F = ma where
m = mass of object and a = net acceleration of objecta. Net force from t = 1 to t = 6 sThe net force from t = 1 to t = 6 s is 112 N
From the table from time t = 1 to t = 6 s, the acceleration a = 1.4 m/s². Since m = 80 kg,
F = ma
= 80 kg × 1.4 m/s²
= 112 kgm/s²
= 112 N
So, the net force from t = 1 to t = 6 s is 112 N
b. Net force from t = 7 to 12 sThe net force from t = 7 to t = 12 s is 0 N
From the table from t = 7 to t = 12 s, the acceleration a = 0 m/s²
Since m = 80 kg,
F = ma
= 80 kg × 0 m/s²
= 0 kgm/s²
= 0 N
So, the net force from t = 7 to t = 12 s is 0 N
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A Rich has been hooked and is puilling on the line as shown in the figure below.
RO
18
If the pole makes an angle of 25° with the horizontal, the distance between the point where the line is attached to the pole and the anglers hand is L. 2.45 m, and the fish
pulls on the line such that the tension in the line is T-166 Nat an angle 35.0 below the horizontal, determine the magnitude (in N.m) of the torque exerted by the fish
about an axis perpendicular to the page and passing through the angler's hand.
Nm
For the magnitude in N.m of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand is mathematically given as
Z = 360.33Nm
What is the magnitude in N.m of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand?
Generally, the equation for the Torque is mathematically given as
Z = force x perpendicular distance
Z = Tcos30° x L
Z = 166(0.886) x 2.45
Z = 360.33Nm
In conclusion s the magnitude in N.m of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand
Z = 360.33Nm
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A 7500 kg truck is speeding up at 5 m/s down a 1000m on-ramp to the highway.
What is the force exerted on the truck?
Answer:
37500 N
Explanation:
F = ma
F = 7500 (5 m/s^2) = 37500 N
A 0.5 kg turntable with a radius of 15 cm is rotating 78 times per minute.
A. What is the angular momentum of the turntable?
B. A 100 gram bar which is as long as the diameter of the turntable is dropped on the
turntable such that the bar is rotating about its center. What is the new angular velocity of the turntable-bar system?
C. In order to stop the turntable and bar in just one rotation, how much force must be applied to the edge of the turntable (assuming the force is applied perpendicular to the radius)?
Answer:
c
Explanation:
Which two generalizations can be made based on what you know about cycles of matter in a closed system?
New matter is added, and old matter is destroyed.
Matter changes its physical form, allowing it to return to its original state.
The amount of matter within the system remains the same.
Matter and energy can cross the boundaries of the system.
0 The cycle has a well-defined starting and stopping point.
Answer: It's 2 and 3
Explanation:
Compare and contrast heat and temperature. Cite examples from the readings to support your comparison. Also cite examples from what you may already know.
(THIS NEEDS TO BE LONG I WILL GIVE 100 POINTS!!!!)
Answer:
Heat is a form of energy. It is measured in Joules. ... The temperature of an object relates to both the kinetic energy of its particles and the number of particles. Temperature is the average kinetic energy of the particles in a substance.
Explanation:
6 verify it in the laboratory. State Hooke's law. Describe how you can A force of 40 N stretches a wire through 30 cm. What force will stretch it through 5.00 and through what length will a force of 100N stretch it? What assumption have you made? State Hooke's law
A stone of mass 5g is projected with a rubber catapult. if the catapult is stretched through a distance of 7cm by an average force of 70 North, calculate the instantaneous velocity of the stone when released
Explanation:
solution: mass m = 5g = 0.005kg; extension e = 7cm = 0.07m; force f = 70 N; velocity = ?; using: work done in elastic material w = 1/2 fe = 1/2 ke2 = 1/2 mv2 - the kinetic energy of the moving stone. 1/2 fe =...
What is maxwell’s theory about atoms?
Answer:
it states that the atom will rest confortably in the ground state and will not collapse for lack of energy
List three methods of energy transport in nature and explain how the energy is being transferred in each of those methods. Which two are means by which energy is transported inside the Sun?
This question is for my college astronomy class!
First normal transportation is the light energy of sun is transmitted to our earth .
Next for transportation inside sun they are
Fusion and fissionFusion means when two hydrogen atoms reacts to form helium nucleus .
Fission means when one nucleus is broken into two or more nucleus
Explanation:
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1. Zahra oscillates a swing and makes 100 complete cycles in 20 seconds. Find: a. Period (
Answer:
Explanation:
Period is : [tex]T=\frac{t}{n}=\frac{20}{100}=0.2[/tex] s
Kinetic is calculated using ___
Answer:
Ek= 1/2*m*v^2
Explanation:
kinetic energy= 1/2* mass * square velocity
A town is considering building a biodiesel power plant that would burn a biomass to generate electricity. Which of the following correctly lists an advantage and a disadvantage of this project?
Advantage: it could get rid of some unwanted waste. Disadvantage it would emit pollution into the air.
Advantage: it reduces dependence on fossil fuels. Disadvantage: it would create new jobs for the area.
Advantage: it produces carbon dioxide, Disadvantage: building the power plant would be expensive.
Advantage: it would use existing garbage and agricultural waste. Disadvantage: there is no way to use the power created.
Answer:
Advantage: it could get rid of some unwanted waste. Disadvantage: it would emit pollution into the air.
By what percent is the torque of a motor decreased if its permanent magnets lose 6.5 % of their strength
8. A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is x(t) = 5.0 cm + (4.00 cm/s) - (0.625 cm/s2)t2. (a) Find the turtle's initial velocity, initial position, and initial acceleration. (b) At what time is the velocity of the turtle zero? (c) How long after starting does it take the turtle to return to its starting point? (d) At what times t is the turtle a distance of 30.00 cm from its starting point? What is the velocity at each of these times?
(a) The turtle's initial velocity is 4 m/s, initial position of the turtle is 5 cm, and initial acceleration is -1.25 m/s².
(b) The time when the velocity of the turtle is zero is 3.2 s.
(c) The time taken for the turtle to return to its starting point is 6.4 s.
(d) The time taken for the turtle to travel 30 cm is 0.08 s.
Initial velocity of the turtleThe initial velocity of the turtle is calculated as follows;
[tex]v = \frac{dx}{dt} \\\\x = 5 + 4t -0.625t^2\\\\v(t) = 4 - 1.25t\\\\v(0) = 4-0\\\\v(0) = 4 \ m/s[/tex]
Initial acceleration of the turtleThe initial acceleration of the turtle is calculated as follows;
[tex]a = \frac{dv}{dt} \\\\v(t) = 4 - 1.25t\\\\a = -1.25\ m/s^2[/tex]
Initial position of the turtlex(t) = 5 + 4t - 0.625t²
x(0) = 5 cm
Time when the velocity becomes zerov(t) = 4 - 1.25t
0 = 4 - 1.25t
1.25t = 4
t = 4/1.25
t = 3.2 s
Time taken to return to starting pointThe total distance traveled is calculated as follows
v² = u² + 2ad
0 = (4)² + 2(-1.25)d
0 = 16 - 2.5d
2.5d = 16
d = 16/2.5
d = 6.4 m
Time to travel the given distance;
d = ut + ¹/₂at²
6.4 = (4)t + ¹/₂(-1.25)t²
6.4 = 4t - 0.625t²
0.625t² - 4t + 6.4 = 0
solve the quadratic equation using formula method;
t = 3.2 s
The time travel the distance two times, = 2 x 3.2 s = 6.4 s
Time taken for the turtle to travel 30 cmd = ut + ¹/₂at²
0.3 = (4)t + ¹/₂(-1.25)t²
0.3 = 4t - 0.625t²
0.625t² - 4t + 0.3 = 0
solve the quadratic equation using formula method;
t = 0.08 s
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A baseball is thrown a distance of 60 meters. What is it’s speed if it takes 1.5 seconds to cover the distance
Answer:
V = S / d = 60 m / 1.5 sec = 40 m/s
Note 40 m/s = 40 * 3.28 = 131 ft/sec
131 ft/sec = 131 ft/sec / (88 ft/sec / 60 mph) = 89 mi/hr
Definition law of moments
When an object is balanced (in equilibrium) the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
A Cadillac Escalade has a mass of 2,569.6 kg, if it accelerates at 4.65 m/s^2 what is the net force of the car?
Answer:
11948.64 Newtons
Explanation:
A kitten sits in a lightweight basket near the edge
Answer:
So where's the problem now?
A kitten is just sitting
Which has more momentum, a 5000 kg truck moving at 20 km per hour or a 1000 kg truck moving at 50 km per hour?
Answer:
First truck has greater momnetum
Explanation:
momentum = m * v
truck a 5000 * 20 = 10 0000
truck b 1000 * 50 = 5 0000
Write a letter to an influential person about how and why to take action on climate change.
Take action on climate change has a positive effect on health of organisms and environment.
How and why to take action on climate change?Spread awareness and encourage friends, family and co-workers to reduce carbon pollution, reduce burning of fossil fuels by using electrical vehicle and devices. Always buy sustainable products and avoid the use of plastics.
We have to take action on climate change because it improved health, maintain the population of organism, and reduced inequality. So we can conclude that take action on climate change has a positive effect on health of organisms and environment.
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Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.
Find the period T of the right pendulum for small displacements in s.
The period (T) of the right pendulum for small displacements in s is equal to 1.49 seconds.
How to calculate the period (T).Mathematically, the time taken by this pendulum to undergo a small displacement is given by this formula:
[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
Where:
L is the length.g is the acceleration due to gravity.Scientific data:
Acceleration due to gravity (g) = 9.8 m/s².
Assuming a randomized variable for the length of the rope to be 1.2 meter. Also, we know that the right pendulum has a radius of 1/2L.
1/2L = L/2
L/2 = 1.1/2
L/2 = 0.55 meter.
Substituting the parameters into the formula, we have;
[tex]T=2\times 3.142 \sqrt{\frac{0.55}{9.8} }\\\\T=6.284 \times \sqrt{0.0561} \\\\T=6.284 \times 0.2369[/tex]
T = 1.49 seconds.
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You perform an experiment to test how far a cannon will shoot a performer at
different angles. The data are shown below.
Angle
Distance (feet)
110
32°
36°
120
40°
128
440
133
48°
127
52
119
56°
109
60°
100
64°
91
68°
77
72°
63
At which angle will the performer travel the longest distance?
Answer:
44°
Explanation:
Look for the longest distance under the 'Distance ' column....look to the left to find the corresponding angle
Table clearly shows that the longest distance (133 ft) occurs at angle of 44°
