Given :
Capacity of capacitor is, [tex]C = 10\ \mu F[/tex].
To Find :
At what voltage can a 10 μF capacitor be energized to 0.45 J.
Solution :
We know, energy in capacitor is given by :
[tex]E = \dfrac{CV^2}{2}[/tex]
So,
[tex]V = \sqrt{\dfrac{2E}{C}}\\\\V = \sqrt{\dfrac{2\times 0.45}{10}}\ \mu V\\\\V = 0.3 \ \mu V[/tex]
Therefore, voltage required is [tex]0.3 \ \mu V[/tex] .
Assume air resistance is negligible unless otherwise stated. Calculate the displacement in m and velocity in m/s at the following times for a rock thrown straight down with an initial velocity of 14.4 m/s from the Verrazano Narrows bridge in New York City. The roadway of this bridge is 70.0 m above the water. (Enter the magnitudes.) (a) 0.500 s displacement m velocity m/s (b) 1.00 s displacement m velocity m/s (c) 1.50 s displacement m velocity m/s (d) 2.00 s displacement m velocity m/s (e) 2.50 s displacement m velocity m/s
Answer:
(a) 0.500 s displacement 70.0 m - 7.2 m velocity 7.2 m/s
(b) 1.00 s displacement 70.0 m - 28.8 m velocity -13.6 m/s
(c) 1.50 s displacement 70.0 m - 57.6 m velocity -20.4 m/s
(d) 2.00 s displacement 70.0 m - 92.8 m velocity -24.0 m/s
(e) 2.50 s displacement 70.0 m -134.4 m velocity -25.2 m/s
Breaking a Glass Soda Botle A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop-2.00 cm and the bottom of the bottle has a diameter of Dbot 6.50 cm. The glass breaks when it is exposed to Pmax = 70.0 MPa of pressure A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480 kg and moves downward at a speed of vi = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t 1.20×10-4 s . In this problem, the positive direction is upward Part A What is the force that her fist exerts on the top of the bottle? Express your answer in newtons to three significant figures Hints 4.00x104 N Submit My Answers Give Up Correct Part B What is the magnitude of the force exerted on the bottom of the bottle?
The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.
F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N
The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.
A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2
F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N
How to calculate force in physics?In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.
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A capacitor has plates of area
3.61 x 10-4 m2 which are separated
by 4.72 x 10-6 m. What is its
capacitance?
[?] * 10?! F.
Answer:
6.76875 • 10 ^-10 F
Explanation:
You just follow the formula:
C = εA/d
ε = 8.85 • 10^-12
A = 3.61 • 10^-4
D = 4.72 • 10 ^-6
So:
C = (8.85 • 10^-12)(3.61 • 10^-4)/4.72 • 10 ^-6 = 6.76875 • 10 ^-10 F
Good Luck! :)
How to calculate distance of a ball rolling down a ramp?
With the equation: it is possible to determine t for each of the four ramp segments. t 1 = t 2 - t 1, and t 2 = t 4 - t 3 Likewise, x is the distance between the designated spots for times 3 and 4, respectively.
Although the gravitational force is same when you roll the ball down a ramp, it is no longer in free fall. Now, it has a vector structure. Knowing the downward force and the ramp's incline makes the problem appear to be Pythagorean. Keep in mind that the ball will go at the same speed at the bottom of the ramp as it would have. A ball begins rolling down a ramp with constant acceleration at time zero (t=0), initially at rest. It moves 1 foot between t=0 and t=1 seconds, you see. How much movement occurs between t = 1 second and a.
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Using the conductor sizing guide, what conductor ampacity is needed for a 10-horsepower, 230-volt, single-phase motor: a.50 A
b.60 A
c.62.5 A
d.87.5 A
The correct conductor ampacity for a 10-horsepower, 230-volt, single-phase motor is option c. 62.5 A.
The ampacity of a conductor is a measure of the maximum amount of electrical current that can flow through it safely. The ampacity required for a motor is based on the size of the motor and the voltage of the electrical system. There are standard methods for determining the minimum ampacity for a given motor and voltage, such as the National Electric Code (NEC) and the American National Standards Institute (ANSI). The NEC and ANSI both state that the minimum ampacity for a 10-horsepower, 230-volt, single-phase motor is 62.5 amperes. It's important to note that using a conductor with ampacity lower than the recommended one may cause the motor to overheat and fail, leading to damage or even fire hazard.
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A physics student has a battery and three equal resistors. If she uses all of the
resistors, how should she arrange them in a circuit to obtain the largest current flow
through the battery and the total circuit?
O parallel
series
Question: A physics student has a battery and an assortment of resistors. If she uses all of the resistors, how should she arrange them in a circuit to obtain the maximum current flow through the battery and the circuit?
Ans: she should arrange them in parallel
We have that It has to be in series in order too obtain the smallest current drop across the circuit.
SeriesOption B
Charge FlowGenerally, voltage drops in a series circuit just as current drops across a parallel circuit
Therefore, we have that three batteries arranged in series, It has to be in series in order too obtain the smallest current drop across the circuit.
Series
Option B
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can u pls solve this question thank u!! i having my physics paper tomorrow!!
Answer:
13.875Ω & 5Ω
Explanation:
in the first diagram:-
R = Rs + Rp + Rs'
Rp => [tex]\frac{1}{7} + \frac{1}{1} = \frac{1+7}{7} = \frac{8}{7} \\[/tex]
Rp = [tex]\frac{7}{8}[/tex] = 0.875
4 + 0.875 + 9 = 13.875Ω
in the second diagram:-
R= Rp + Rs + Rp'
Rp => 1/6 + 1/3 = 1+2/6 = 3/6 => 2
Rp' => 1/3+1/3+1/3 = 3/3 => 1
R = 2 + 2 + 1 = 5 Ω
An object with a negative charge of 1.2 mC exerts an attractive force of 13.6 N on a second charged object
0.072 m away. What is the charge and polarity (positive or negative) of the 2nd obiect?
Answer: N 0.072
Explanation:
First thing i did was figure out what the negative charge was originaly
The charge and the polarity of the 2nd object is 0.072 N.
What is Force?Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.
Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.
Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.
Therefore, The charge and the polarity of the 2nd object is 0.072N.
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How is coal extracted from mountaintop removal mines? (site 2)
Coal is extracted from mountain top by removal of top soil and the use of explosives.
What is a coal?A coal is definitely as the solid substance that is made up of mainly carbon and other constituent elements such as hydrogen, sulfur, oxygen, and nitrogen.
The uses of coal include the following:
cement production, carbon fibers and foams, medicines, tars, synthetic petroleum-based fuels, and home and commercial heating.To extract coal from the mountain top the following is carried out:
The top soil of the area involved us being removed and
Explosives are then used to expose the underlying coal seams.
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Albert pushes a 6 kg 6 kg box across a level floor. He pushes with a force of 43 N 43 N and observes that the box accelerates in the direction of his push at a rate of 2 m/s22 m/s2 . What is the net force acting on the box
The net force acting on the box, and the frictional force acting backward is 25 N
Calculation:Here,
mass ,m = 12 Kg
F1 = 49 N
a = 2 m/s^2
Using the second law of motion
net force on the particle = m * a
net force on the particle = 12 * 2
the net force on the particle = 24 N
let the frictional force is f
F1 - f = Fnet
49 - f = 24
f = 25 N
How can you determine the total force exerted on an object?The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.
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60 points!
What is the average time for the toy car to move 1.0 m on dirt?
21.2 s
22.4 s
23.1 s
63.7 s
Answer:
it should be 23.1
Explanation:
You have to look at the scale and then you calculate it
A car accelerates uniformly from rest to 28.4 m/s in 8.26 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.52 x 104 N.
According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W
Step: 1Average power is defined as the work done per unit time.
Work done can be found by change in kinetic energy.
[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]
[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]
Explanation: Please refer to solution in this step.
Step: 2a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]
using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]
[tex]=38,933.2428 Watts[/tex]
b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]
using above equation we can find
the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]
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What is the KE of a 0.5 kg puffin flying at 22 m/s?
Important Formulas:
[tex]KE=.5mv^2[/tex]
Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2
__________________________________________________________
Given:
[tex]m=0.5kg[/tex]
[tex]v=22m/s[/tex]
[tex]KE=?[/tex]
__________________________________________________________
Finding kinetic energy:
[tex]KE=.5mv^2[/tex]
[tex]KE=.5(0.5)(22)^2[/tex]
__________________________________________________________
[tex]\fbox{KE = 121 Joules}[/tex]
The kinetic energy of Flying pluff is 121 KJ.
What is Kinetic energy?The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down from its current pace to a condition of rest.
Formally, a kinetic energy is any term that includes a derivative with respect to time in the Lagrangian of a system. According to classical physics, an object with mass m moving at a speed of v has kinetic energy equal to mv2.
Therefore, The kinetic energy of Flying pluff is 121 KJ.
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Small light has a resistance of 80 Ω. It is connected to a 9 V battery. How much current is there?
Explain why most foods and beverages
are mixtures.
Answer:
Most food and drinks are mixtures as they are not chemically bonded and also beacuse they are made up of two or more substances
Explanation:
Suppose you are pushing a stalled car. As the car gets going, you need less and less force to keep it going. For the first 15 m, your force decreases at a constant rate from 210.0 N to 40.0 N. How much work did you do on the car
The work done during this period will be 1875 J. It will be positive if the body is displaced in the same direction of the force.
Work done can be defined as the product of applied force and the distance through which the body is displaced where the force is applied.
The value of work can be zero, positive and negative. It depends on the direction of the body displaced.
Data given in the question is;
Let F be the average force applied by the worker
D is the displacement = 15 m
The average force is ;
[tex]F_{avg=\frac{F1+F2}{2}[/tex]
[tex]F_{avg=\frac{210+40}{2}\\[/tex]
[tex]F_{avg=125 J[/tex]
The work done by the worker will be:
W=Fd
W=125x15
W=1875 J
Hence the work done during this period will be 1875 J.
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If a moving ball is hit by another moving ball ,what effect of force can be observed in such a situation?
Could someone please help me..??
: ))
please give an explanation if possible..!
Answer:
A force acting on an object causes the object to change its shape or size
Explanation:
Two identical traveling waves, moving in the same direction, are out of phase by p/2 rad. What is the amplitude of the resultant wave in
the amplitude of the resultant is the amplitude of the two original waves times 1.85.
What transpires to the original two waves once they generate a new wave?The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.
What frequency does the sum of two waves produce?The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.
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Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from Part D, where y0=0. 75m, α=0. 95s^−1, and ω=6. 3s^−1
The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.
Given,
t = 0.25 s
y = 0.75 m
α = 0.95 rad/s²
ω = 6.3 rad/s
Wf=6.54 rad/sec
V=wr
6.54*0.75
V=4.91 m/s
The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.
If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.
Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.
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What causes the tectonic plates to move?
Answer:
The heat from the radioactive processes within the planets inferior causes the plates to move sometimes away from each other. This movement is called the tectonic shift
How does a series circuit differ from a parallel circuit?
[tex] \large \sf{Answer :- }[/tex]
[tex]\pink:\implies[/tex]In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each component.
[tex]\pink:\implies[/tex]In a series circuit, every device must function for the circuit to be complete. If one bulb burns out in a series circuit, the entire circuit is broken.
:⟹ In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each component.
\pink:\implies:⟹ In a series circuit, every device must function for the circuit to be complete. If one bulb burns out in a series circuit, the entire circuit is broken
which of the following is an explanation for the apparebtbincrease in the rate that the universe is expanding?
a. hadrons
b. dark energy
c. CMB radiation
d. dark matter
An explanation for the apparent increase in the rate at which the universe is expanding is dark energy. The correct option is b.
What is dark energy?A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.
We would first need to locate dark energy before scientists could even consider whether it could be possible to use it as a source of electricity.
Therefore, the correct option is b. dark energy.
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NO LINK ANSWERS NEED HELP FAST
According to Charles Law, if a balloon filled up with nitrogen gas is warmed so that its temperature increases, which of the following would be the result?
A. The volume inside the balloon would increase
B. The pressure inside the balloon would increase
C. The pressure inside the balloon would decrease
D. The volume inside the balloon would decrease
Answer:
B would be the correct answer
Which statement best describes how the gravitational attraction between objects is related to their distance from each other: A) The objects always attract each other.
B) The objects repel each other only if they have very different masses.
C) The objects always repel each other.
D) The objects attract each other only if they are moving toward each other.
Correct option is A) The objects always attract each other.
There is always a pull from gravity. It won't repel.
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
A rise in one quantity causes a fall in the value of the other since the two values are inversely proportionate. In other words, as the separation distance increases, the force of gravity decreases, and as the separation distance decreases, the force of gravity increases.
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What are the main mechanisms that affect the gene pool?
Answer: Natural selection, Genetic drift , Mutations and Gene flow
Explanation:
Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer.
left
same
right
opposite
If the cone of force is facing an observer, the impact comes from the opposite side of the observer.
What is Newton's third law of motion?
Newton's third law of motion states that action and reaction force are equal and opposite. That is for every action, there is an equal and opposite reaction.
Mathematically, the formula for Newton's third law of motion is given as;
Fa = - Fb
where;
Fa is the impact force or force exerted on BFb is the reaction force of B due to applied force of AThus, when a force is applied from a side, the observed force or reaction will be directed in opposite direction. The force exerted and the reaction force are both equal in magnitude but occurs in opposite direction.
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In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan
In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.
In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.
The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.
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A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
With the use of wave speed and echo formula, the distance is 540 m
What is Echo ?Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.
Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.
The wave speed V = Fλ
Where
V = ?F = 120 KHz = 120,000λ = 3 mm = 0.003 mV = 120000 × 0.003
V = 360 m/s
How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?
Speed V = 2S/t
where
S = distance ?t = time taken = 3 s360 = (2 × S)/3
360 × 3 = 2S
S = 1080/2
S = 540 m
Therefore, the cargo is 540 m away
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Initial State: An 8-month old child is at rest at the bottom of a staircase. Final State: The 8-month old child is at rest at the top of the staircase. Notes: The system includes the child and earth. The child uses the steps to slowly crawl up the staircase
Fortunately, even those who have the most severe instances of GBS eventually recover. Some people will still have some weakness when they recover.
The peripheral nervous system, or the network of nerves outside the brain and spinal cord, is mistakenly attacked by the body's immune system in the rare neurological illness known as Guillain-Barré syndrome (GBS). A person with GBS may experience anything from a very mild case with transient weakness to a nearly fatal paralysis that prevents them from breathing on their own.
Anyone can develop Guillain-Barré syndrome. Both sexes are equally prone to the illness, which can affect anyone at any age (although it tends to affect adults and elderly persons more frequently). One in 100,000 people are thought to be affected with GBS each year.
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which is an example of species diversity?
A. Variation in a flock of pigeons
B. Fire ant colony
C. Giraffes,earth worms,algae
D. A savanna and a tropical rain forest
Answer:
So, some examples may include the presence of four or five different species of tree in a woodland forest, or perhaps 100 different species of fish, crustaceans and coral in a certain reef.
l will post the option later
pls mark me brainlest
option d