What is the formula of energy store?

Answers

Answer 1

The formula for stored energy in capacitor is  1/2 QV where Q = charge and V = voltage. This is the work done to transfer charge from one plate to other plate against the force of repulsion of already present charges.

Let charge is transferred from the plate B to A. the charge on the plates is Q’ and –Q’.  To transfer a charge of dQ’ from B to A, the work done will be

dW = V dQ = Q/C dQ

After doing integration on it

Energy stored in capacitor = [tex]Q{2}[/tex]/2C = 1/2 C[tex]V^{2}[/tex] = 1/2 QV

capacitor is a device for storing electrical energy. It consists of two conductors in close proximity which are insulated from each other. Example, the parallel-plate capacitor.

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Related Questions

Explain the image below in terms of Newton’s Laws.

Answers

The image given, is explained in terms of Newton's 1st law of motion.

What is Newton's 1st law of motion?

Based on Newton's First Law of Motion (Inertia).  An object at rest remains at rest, and an object in motion continues in motion at a steady speed and in a straight path until operated on by an unbalanced force.

Newton's first rule of motion states that if a pan of water were being moved along a track, the water would tend to keep moving ahead. However, the water will appear to splash to the right while it goes to the left. Space is nearly a perfect vacuum, devoid of both gravity and matter. Think about a satellite travelling 17,500 mph around the Earth. If a rock were to be launched from the satellite, it would orbit the earth adjacent to the satellite at a speed of 17,500 mph.

Here, in the given image, it is shown that the sofa is remain in the place unless a person forcefully move it from one place to another.

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What event made it possible for photons to begin to travel freely through the universe when the universe was about 380,000 years old?
A. The universe had expanded and cooled enough for electrons to combine with nuclei to form neutral atoms.
B. Atoms started to combine to make the first molecules.
C. Magnetic fields had weakened to the point that they no longer interfered with light.
D. Atomic nuclei were finally able to escape the plasma of the early universe.
E. Fusion of hydrogen to make helium ceased.

Answers

Answer: C

Explained:

Photons are electromagnetic waves (light) and can move according to the level of magnetism. Also are magnetic fields of the earth are known to protect us from uv rays which are harmful to the body

Which rock was under the most pressure and the highest temperature?

Answers

Metamorphic rock was under the most pressure and the highest temperature.

What type of rock has high temperature and pressure?

Rocks found under extremely high pressures and average to high temperatures are called eclogite and are often rich in cardinal and pyroxene. 8. The hornfels contains a series of rocks that result from contact metamorphism under low pressures and a wide range of temperatures.

Metamorphic rocks form when live rocks are exposed to heat and pressure deep within the Earth's surface. The new rock is completely different from the other.

So we can conclude that A rock with this feeling is called gneiss. Since gneisses form at the highest temperatures and pressures, some partial melting may occur.

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A 5 kg object traveling 40 m/s strikes a stationary 4 kg object in an inelastic collision. After the collision, the two objects come to a stop in 55 m. What was the coefficient of kinetic friction between the blocks and surface?

Answers

AnswerAnswerAnswer:.

Explanation:

.

A teacher tells the student to draw the same wave with double the frequency, while keeping the amplitude the same. How would the student draw the new wave?.

Answers

It will take 1.1824 min for the reactant concentration to decrease from 0. 13 m to 0. 088 m.

K = 0.33/min

for first-order reaction

K×t = ln([A0]/[A])

[A0] = 0.13 M

[A] = 0.088 M

t = ln (0.13/0.088)/0.33 = 1.1824 min

A first-order reaction depends on the awareness of the most effective reactant (a unimolecular response). other reactants may be present, however, their attention has no impact on the fee. The fee regulation for a primary order response is --d[A]/dt = okay[A],

Although not affecting the above math, the general public of first-order reactions continues through intermolecular collisions. Such collisions, which contribute the electricity to the reactant, are always 2nd order. The fee of those collisions is, but, masked via the reality that the price determining step stays the unimolecular breakdown of the energized reactant. The half of-existence is impartial of the beginning awareness and is given with the aid of t1/2 = In(2)/k

In organic chemistry, the class of SN1 (nucleophilic substitution unimolecular) reactions includes first-order reactions. for instance, in the reaction of aryldiazonium ions with nucleophiles in an aqueous solution, [ArN2+] + X− → ArX + N2, the fee equation is v0 = ok[ArN2+], wherein Ar shows an aryl group.

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a personal foul occurs when a player has unsportsmanlike conduct, illegal entry or excessive timeouts.
True
False

Answers

False, a personal foul does not necessarily involve illegal entry or excessive timeouts, though they can be part of a personal foul.

A personal foul is a penalty in certain sports, such as basketball and American football, that involves an illegal action by a player. A personal foul occurs when a player has unsportsmanlike conduct, illegal entry, or excessive timeouts. Unsportsmanlike conduct is defined as any action that is not considered to be ethical or respectful within a sporting event. This includes taunting, arguing with a referee, or showing disrespect towards another player or team.

Illegal entry is when a player enters a restricted area without permission or authorization. This can be a violation of the playing rules or a foul against another player. Excessive timeouts are when a team uses all of its allotted timeouts in a game or a player takes an excessive amount of time to make a decision, such as when taking a free throw.

All of these actions, when committed by a player, can be considered a personal foul. A personal foul is a violation of the rules that can result in a variety of consequences, from a warning to a technical foul, to a disqualification from the game. The severity of the consequences depends on the severity of the foul and the specific sport in which it is committed.

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calculate the magnitude of the normal force on a 15.0kg block, the block is restoing on a surface titled up at a 30.0 angle with respect the horizontal

Answers

The magnitude of the normal force on a 15.0kg block, the block is resting on a surface titled up at a 30.0 angle with respect the horizontal is 127.3 N.

How is the magnitude calculated ?

We are told the block is resting on a surface tilted up at a 30° angle with respect to the horizontal.

∴Thus, resolving the force in the horizontal direction will give us the normal force,

∴ θ = 30⁰

∴ m = 15 kg

∴ N = mg cosθ°

we know that g = 9.8 m/s

∴ N = 15 × 9.8 × (cos 30° )

∴ N = 15 × 9.8 × 0.866

∴ N = 127.3 N

Hence, the magnitude of force is 127.3N

What is force ?A force is an influence in physics that can modify the velocity of an object. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

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How large is the acceleration of a 35-kg mass that has a net force of 270 n applied to it horizontally?.

Answers

If a net force of 270 N applied on a 35-kg mass, the acceleration is 7.7 m/s²

The problem can be solved by applying the Newton's 2nd law of motion, which states: the acceleration on an object is directly proportional to the net force applied to it and inversely proportional to its mass.

F = ma

Where:

F = net force acted on the object

m = mass

a = acceleration

Parameters given in the problem:

m = 35 kg

F = 270 N

Plug these parameters into the formula:

270 = 35 x a

a = 270/35 = 7.7 m/s²

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dark energy is the energy associated with the motion of particles of dark matter. dark energy is the energy associated with the motion of particles of dark matter. false true

Answers

Dark energy is the energy associated with the motion of particles of dark matter. FALSE

What is dark energy?

Dark Energy is a hypothetical form of energy that exerts a negative, repulsive pressure, behaving like the opposite of gravity.

Another definition of dark energy is as follows; it is a hypothetical form of energy that produces a force that opposes gravity and is thought to be the cause of the accelerating expansion of the universe.

The force of gravity which force from dark energy opposes is given as;

F = Gm₁m₂/R²

where;

F is the force of gravityG is universal gravitation constantm₁ is mass of the first objectm₂ is the mass of the second objectR is the distance between the two masses

Thus, the force of gravity which is being opposed by the force produced by the dark energy is directly proportional to the mass of two objects in the universe and inversely proportional to the square of the distance between the two objects.

So the given statement is FALSE.

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A uniform beam PQ of length 40m and weight 10N is supported at P and Q. It carries a load of 4N at a point 10m from P. What is the reaction at Q. ​

Answers

The reaction force at Q is 4N.

A support reaction is a force on a support or a resulting restraining end moment, which results due to a prevented possibility to move. In the case of structural systems, support reactions are in equilibrium with the external forces acting on the structure.

The uniformly distributed load can be replaced by a concentrated load acting at the centre of gravity of the UDL. The total load on beam is the UDL multiplied by the length of the beam,

So  support reaction is,

R = Load × Length

In this question,

The equation of equilibrium of moments is

[tex]R_{Q[/tex] × 40 - Mg×20-  4N× 10 = 0

So, [tex]R_{Q[/tex] = 10 N× 20 + 4N× 10 ÷ 40 = 4 N

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g a2.25m segment of wire supplying current to the motor of a submerged submarine carries750a and feels a3.5n repulsive force from a parallel wire 5.00 cm away. what is the magnitude of the current in the other wire in a?

Answers

The amount of current flowing through the other wire is 518.5A, whereas the 2.25-meter segment of wire feeding power to a submerged submarine's motor has a capacity of 750A and a resistance of 3.5N.

In physics, magnitude is referred to as an object's maximal size and direction. In both vector and scalar quantities, magnitude is a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). One coulomb of electrical charge travelling across a certain place in one second is referred to as one ampere of current.

I2 = 3.5*5*10^-2/2*750*2.25*10^-7

I2 = 518.5A

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As a 15,000 kg jet lands on an aircraft carrier, its tail hook snags a cable to slow it down. The cable is attached to a spring with spring constant 60,000 N/m. If the spring stretches 30 m to stop the plane, what was the plane's landing speed?

Answers

The plane's landing speed was 250 m/s.

The force required to slow the plane down is equal to the spring constant multiplied by the amount it stretched. Thus, we can use the equation:

F = kx

where F is the force required, k is the spring constant, and x is the amount stretched.

In this case:

F = 60,000 N/m * 30 m = 1,800,000 N

We can use the equation for momentum to solve for the plane's speed:

p = mv

where p is the momentum, m is the mass, and v is the velocity.

In this case:

p = 15,000 kg * v

Rearranging for v, we get:

v = p/m = 1,800,000 N/15,000 kg = 250 m/s

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124. What is the acceleration due to gravity on Jupiter if
someone who weighs 600 N on Earth weighs 1400 N on
Jupiter?
A. 26 m/s²
B. 19 m/s²
C. 21 m/s²
D. 23 m/s²

Answers

The acceleration due to gravity on jupiter is 23 m/s². And the correct option is D. 23 m/s².

What is acceleration due to gravity?

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s².

To calculate the acceleration due to gravity on jupiter, we use the formula below.

Formula:

W/g = W'/g'..................... Equation 1

Where:

W = Weight of the person on Earthg = Acceleration due to gravity on EarthW' = Weight of the person on Jupiterg' = Acceleration due to gravity on jupiter

From the question,

Given:

W = 600 NW' = 1400 Ng = 9.8 m/s²

Substitute these values into equation 1 and solve for g'

600/9.8 = 1400/g'g' = (9.8×1400)/600g' = 22.87g' ≈ 23 m/s²

Hence, the acceleration due to gravity on jupiter is 23 m/s².

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what is the geothermal gradient or geothermal heat flux? why does it get hotter towards the center of the earth (3 points)?

Answers

Tapping of geothermal energy to produce electricity is done on a larger scale compared to the tapping of the geothermal gradient using a geothermal heat pump.

Harnessing geothermal energy is also reliant on geological conditions such as in the area of convection boundaries while geothermal gradient can be harnessed virtually anywhere on the earth surface.

The geothermal energy is the heat that is derived from the storing of energy that creates by the earth's temperature and the earth's crust is origin for this type of energy along with the radioactive decay of the elements of the crust.

Thus said to be earth's internal heat and needs to be trapped as it can get lost during the formation stages.  

The temperature that occurs at the earth's core and the metal zone reaches up to 4000°C and thus the high temperature causes the rocks to melt and give rise to the temperature in the plastic mantle to get activated by the convection currents that reach the surface.

Some examples of this geothermal energy are those of the hot spring and the rising lava or the magmas.

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if a seagull sitting in water bobs up and down once every 2 seconds and the distance between two crests of the water wave is 3 m, what is the velocity of the wave?

Answers

The velocity of the wave is 1.5 m/s.

Since, the crest occurs every 2 seconds,

Time period = t = 2 s

Distance between two crests = Wavelength of the wave = λ = 3 m

Frequency of the wave = f

The velocity of the wave is = v =

The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.

= v = λ X f

and, f = 1/t

= v = λ / t

= v = 3/2

= v = 1.5 m/s

Thus, the velocity of the wave is 1.5 m/s.

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a bowling ball (i.e. uniform sphere) of mass 7.25 kg and radius 10.8 cm rolls without slipping down a lane at 3.10 m/s. calculate its total mechanical kinetic energy.

Answers

A bowling ball of mass 7.25 kg and radius 10.8 cm rolls without slipping down a lane at 3.10 m/s. Then the total mechanical kinetic energy of a bowling ball is 48.8 J.

Given that, mass = 7.25 kg

Radius = 10.8 cm = 10.8/100 m = 0.108 m

Velocity = 3.1 m/s

The total mechanical kinetic energy is nothing but the sum of kinetic energy due to rotation and kinetic energy due to translation. It can be written as

KE = 1/2* m* v² + 1/2* I*ω²

where, I is the moment of inertia of the bowling ball about its centre

ω is the angular velocity

As the ball is in rotation, v = r * ω

And I = 2/5 * m * r²

So, the total mechanical kinetic energy is

KE = 1/2* m* v² + 1/2* I*ω² = 1/2* m* v² + 1/5* m * v²

⇒ 7/10 m * v² = 7/10 * 7.25 * 3.1² = 48.77 J ≈ 48.8 J

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in a particle system of smoke, which property is used to change the dense black, to semi-transparent gray and finally white?

Answers

In a particle system of smoke, color over Lifetime is used to change the dense black, to semi-transparent gray and finally white.

The Color over Lifetime module permits you to change the Color and Alpha qualities over time.

The Force over Lifetime module permits you to add wind-impacted articulations to Particles.

For instance, on the off chance that you set it as displayed in the picture, it will appear as though the breeze is blowing to one side.

The Limit Velocity over Lifetime module permits you to dial back the development of a molecule.

This permits you to execute articulations like air opposition.

In the Speed field of the Limit Velocity over Lifetime module, you can enter the speed that outcomes from the deceleration because of air opposition.

Dampen is the magnitude of the air resistance.

Set Start Speed to 20, Speed in the Limit Velocity over Lifetime module to 0, and Dampen to 0.1.

Assuming Hose is set to 0.1, the speed of 20 will continuously move toward 0 lastly stop.

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an ice-cube tray of negligible mass contains 0.350 kg of water at 18.00 c. how much heat must be removed to cool the water

Answers

This ranges from 10 to 200 degrees Fahrenheit (ca. 93 °C) in the majority of cooling systems. The heat flux ranges from 5,000 to 15,000 Btu/ft2/hr and is typically low.

What heat must be removed to cool the water?

Use the equation Q = MC T to determine the amount of heat released during a chemical reaction. Q represents the heat energy transferred (in joules), m represents the mass of the liquid being heated (in kilograms).

C represents the liquid's specific heat capacity (joule per kilogram degrees Celsius), and T represents the change in temperature.

Therefore, The heat flux can reach 3,000,000 Btu/ft2/hr in extreme circumstances, including the indirect cooling of molten metal.

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An ice skater is spinning with her arms out and is not being acted upon by an external torque.
When she pulls her arms in close to her body what happens to her angular velocity?

Answers

She boosts her angular velocity when she pulls her arms in toward her body since doing so causes her rate of spin to increase dramatically, which lowers her moment of inertia. She pulls her arms in with effort, increasing rotational kinetic energy.

What does the conservation of angular momentum entail?

The angular momentum of the system of particles is conserved if there is no net external torque at a given position in a fixed inertial reference frame:

You can see that the whole angular momentum is conserved. Any one of the individual angular momenta can change as long as the aggregate remains unchanged. This equation represents the conservation of linear momentum when there is no outside force acting on the system.

As a result, since the conservation of angular momentum can be demonstrated by an ice skater doing a spin. Her net torque is virtually zero because there isn't much friction between her skates and the ice. Furthermore, the friction is applied rather close to the pivot.

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a solid object is found to weigh 4.784.78n in air. when it is weighed while fully immersed in water, its apparent weight is 2.482.48n. what is the density of the object?

Answers

A solid object is found to weigh 4.784.78n in air. when it is weighed while fully immersed in water, its apparent weight is 2.482.48n. 983 is the density of the object.

The substance's density is defined as its mass per unit of volume (volumetric mass density or specific mass). Although the Latin letter D may also be used, the symbol for density that is most usually used is (the lower case Greek letter rho). where V is the volume, is the density, and m is the mass. Weight per unit volume is a common informal definition of density, however this is incorrect scientifically; the actual term is specific weight. The US oil and gas industry serves as one illustration of this. A pure substance's mass concentration in numbers is equal to its density. To make density comparisons between different systems of units easier, it is occasionally replaced by the dimensionless quantity "relative density" or "specific gravity," which is the ratio of the density of the material to that of a standard material, usually water. If a substance's relative density to water is less than one, it will float in it. Temperature and pressure have an impact on a substance's density. This variation is frequently not very noticeable for solids and liquids, but it is very noticeable for gases. As pressure is applied, an object's density rises, which reduces the object's volume. With a few rare exceptions, as temperature increases, a substance's density decreases as its volume grows.

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an electron travels through space and has a velocity uncertainty of 131 m/s. what is the minimum uncertainty in the electron's position?

Answers

The minimum uncertainty in the electron's position is equal to the velocity uncertainty divided by the speed of light, which is 131 m/s / 299,792,458 m/s ≈ 4.37 × 10^−9 m.

The minimum uncertainty in the electron's position is determined by the Heisenberg Uncertainty Principle, which states that the product of the uncertainties in position and momentum have to be greater than or equal to a constant, which is equal to Planck's constant (h) divided by 4π.

Therefore, the minimum uncertainty in the electron's position (Δx) can be calculated using the equation below:

Δx * Δp ≥ h/4π

Where Δp is the uncertainty in the electron's momentum, which is equal to the electron's velocity uncertainty (Δv) multiplied by the electron's mass (m):

Δp = Δv * m

Inserting this into the equation for the minimum uncertainty in position, we get:

Δx * Δv*m ≥ h/4π

Simplifying and rearranging this equation, we get:

Δx ≥ h/4π * (1/m*Δv)

For a single electron with a mass of 9.11 x 10-31 kg and velocity uncertainty of 131 m/s, the minimum uncertainty in its position is 1.11 x 10.

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a constant force is exerted for a short time interval on a cart that is initially at rest on an air track. this force gives the cart a certain final speed. suppose we repeat the experiment but, instead of starting from rest, the cart is already moving with constant speed in the direction of the force at the moment we begin to apply the force. after we exert the same constant force for the same short time interval, the increase in the cart’s speed

Answers

The cart's increased speed is the same as when it first took off.

Rate is the speed from which an object travels along a path over time, whereas velocity is the speed and orientation of an item's motion.

At first, the cart is at rest.

So, u = 0 m/s.

A brief period of time is spent with a constant force applied.

The final speed that the force gives the cart is what we'll call v.

Newton's first equation of motion yields the following results:

v = u + at

Where;

The ultimate speed =v.

The starting speed =u.

Acceleration = a.

Time = t

u = 0 m/s, therefore we now have;

v = 0 + at

v = at

Let's now use Newton's second rule of motion to construct a formula to introduce force;

F = ma

Where;

Force = f.

Mass = m.

Acceleration = a.

So,

= a = F/m.

Substituting in v = at,

= v = (F/m)t

The final speed, v, is evidently exactly related to the force. So, if the force is constant, the end speed will also stay constant.

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The complete question is -

A constant force is exerted for a short time interval on a cart that is initially at rest on an air track. This force gives the cart a certain final speed. Suppose we repeat the experiment but, instead of starting from rest, the cart is already moving with constant speed in the direction of the force at the moment we begin to apply the force.

After we exert the same constant force for the same short time interval, the increase in the cart's speed:

A. is equal to two times its initial speed.

B. is equal to the square of its initial speed.

C. is equal to four times its initial speed.

D. is the same as when it started from rest.

E. cannot be determined from the information provided.

9. An object with mass M is subjected to a force of 100 newtons and accelerates at rate A. How much force would be needed to make mass M accelerate at rate 4A?

Answers

25 Newtons force would be needed to make mass M accelerate at rate 4A

How much force would be needed?

An object with mass M is subjected to a force of 100 newtons and accelerates at rate A.

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.The equation F = m x a describes the force (F) needed to move an object with mass (m) and acceleration (a). Therefore, force is equal to mass times acceleration.

25 Newtons force would be needed to make mass M accelerate at rate 4A

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how does the kinetic energy gained by a charge relate to the potential across the plates of a capacitor?

Answers

The voltage supplied determines how strong the electrostatic force is inside a capacitor, and the length among the plates determines how weak it is.

The energy held in the capacitor stays unchanged as plates spacing increases, while capacitance falls. As a result, there is only a potential rise inside the differential here between plates.

By virtue of energy conservation, kinetic energy (KE) must be proportional to the change in potential energy (qV), either conversely. In terms of numbers, the voltage among the plates and the electron's energy in electron-volts are identical. For instance, a 5000-V voltage differential results in 5000-eV electrons. Energy in potential is position-dependent. To put it another way, it varies based here on weight and height of the object. The mass and initial velocity affect the kinetic energy of that object. When we consider a waterfall, we can see that the motionless liquid now at peak of something like the drop possesses potential energy.

The virial theory argued that kinetic energy is equivalent to half of potential energy's negative figure. The double of negative kinetic energy is called potential energy. The kinetic energy's opposite, amount of energy, is the same.

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Which method of measuring distances would you use if you wanted to measure the distance to stars in a nearby galaxy?

Answers

Since space is so vast, many astronomers choose to use a unit of measurement known as a parsec instead of measuring distances in miles or kilometers. the nearest star, Alpha Centauri, in your mind

what is A parsec is either a time or a distance measurement.

Why then would Solo use a parsec, which measures distance rather than time, to describe how fast his ship could move? Here, two distinct narratives are in play.

Why then does Han Solo claim that it is 12 parsecs?

The Kessel RuEmpire then was among the busiest smuggling routes in the Galactic Empirethe Galactic Empire, the Kessel Run was one of the busiest smuggling routes. The Kessel Run, according to Han Solo, was completed by his Millennium Falcon in fewer than twelve parsecs. Unlike time, a parsec measures distance. When he said this, Solo wasn't specifically referring to his ship's speed speed of his ship.

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If you pull a 8 kg box across the floor with a net force of
50 N, how fast will it accelerate?
A. 5.5 m/s²
B. 9.8 m/s²
C. 3.2 m/s²
D. 6.25 m/s²

Answers

The acceleration of an 8kg box at net force of 50N would be d.) 6.25m/s²

What is the gravity-induced acceleration?

The acceleration due to gravity value of 9.8 m/s2 means that the velocity of a body falling freely changes by 9.8 m/s per second.

What does Newton's law define as acceleration?

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.

What qualifies as acceleration?

Throughout time, the velocity is shifting. In actuality, the velocity is changing by a fixed rate of 10 m/s every second.

Let the direction of the 50 N be positive.

Fnet = (50 -10) N = +40 N

Fnet = m•a

a = Fnet/m = 40/75 m/s²

a = +0.53333 m/s² but round to 1 or 2 sig figs: +0.53 m/s² in the direction of the 50 N.

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a uniform flat disk of radius r and mass 2m is pivoted at point p. a point mass of 1/2 m is attached to the edge of the disk.

Answers

The moment of inertia (Icm) of the uniform flat disk without the point mass = Icm = MR².

The moment of inertia with respect to point P on the disk without the point mass =  Ip = 3MR².

The total moment of inertia (of the disk with the point mass with respect to point P) = I total = 5MR².

We know from the case, that:

Mass = 2M

Radius = R

Mass at the edge = M₂ = 1/2M

Distance between the centre of mass to point P = p = R

Distance of the point mass to point P = d = 2R

We know that the moment of inertia for an uniform flat disk = 1/2mr².

(a) Then the moment of inertia for the uniform flat disk is:

= Icm = 1/2mr²

= Icm = 1/2(2M)(R²)

= Icm = MR²

(b) Next, we will find the moment of inertia of the disk with respect to point P. We know that point P is positioned at the arc of the disk. Hence,

= Ip = Icm + mp²

= Ip = MR² + (2M)R²

= Ip = 3MR²

(c) Then, the total moment of inertia of the disk with the point mass is:

= I total = Ip + I mass

= I total = 3MR² + (1/2M)(2R)²

= I total = 3MR² + 2MR²

= I total = 5MR²

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The complete question:

A uniform flat disk of radius R and mass 2M is pivoted at point P A point mass of 1/2 M is attached to the edge of the disk 2M 2 M Part (a) Calculate the moment of inertia ICM of the disk (without the point mass) with respect t0 the central axis of the disk in terms of M and R. Part (b) Calculate the moment of inertia [p of the disk (without the point mass) with respect to point P in terms of M and R. Part (c) Calculate the total moment of inertia [of the disk with the point mass with respect to point P in terms of M and R.

How much power is generated in a hydroelectric dam as water falls 60 meters onto a turbine
generator at a rate of 90 kg per 10 seconds?

Answers

Answer:

~ 5300 W  ( rounded)

Explanation:

The POTENTIAL energy of 90 kg of water before it falls 60 m

 is   mgh =  90 * 9.81 * 60 = 52974 J

POWER = energy / time = 5297.4 W    ( assuming no losses)

which of the following is not a direct cost for a scooter manufacturer? a) office rent. b) wheels. c) handle bars. d) brakes. e) grip tape.

Answers

Your answer would be A) office rent

The option that is not a direct cost for a scooter manufacturer is office rent. (Option A)

What is direct cost

Direct costs are expenses that can be directly attributed to the production of a specific product. Office rent is not a direct cost for a scooter manufacturer.

In the case of a scooter manufacturer, direct costs would include items like wheels, handlebars, brakes, and grip tape, as these are all components directly involved in the manufacturing process of the scooters.

On the other hand, office rent is an indirect cost, also known as an overhead cost. Indirect costs are expenses that are not directly traceable to a specific product or production process.

So option A is the correct answer.

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a capacitor in a series rc circuit is charged to 60% of its maximum value in 1.0 s. find the time constant of the circuit.

Answers

The time constant of the circuit is 0.9163τ

The charge of RC circuit is

q = 0.6q0

The expression for a charging capacitor is given by,

q = q0 ( 1-  e⁻⁽⁻t/T⁾)

Here, t

is the time, q0 is the equilibrium charge of circuit and τ is the time constant.

Substitute all the known values in the above formula.

t≈0.9163τ

The term time constant in an RC circuit can be evaluated with the help of the equilibrium charge of the circuit, charge at a specific time and time. The relation for a charging capacitor is an exponential expression.

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