An uncharged series RC circuit is to be connected across a battery. For each of the following changes, determine whether the time for the capacitor to reach 90% of its final charge would increase, decrease, or remain unchanged. Indicate your answers with "I," "D," or "U," respectively. (a) The RC time constant t is doubled. (b) The battery voltage is doubled. (c) A second resistor is added in series with the original resistor.

Answers

Answer 1

a) Increase

b) Unchanged

c) Increase

Explanation:

a)

The charge on a capacitor charging in a RC circuit connected to a battery follows the exponential equation:

[tex]Q(t)=Q_0 (1-e^{-\frac{t}{RC}})[/tex]

where

[tex]Q_0 = CV[/tex] is the final charge stored in the capacitor, where C is the capacitance and V is the voltage of the battery

t is the time

R is the resistance of the circuit

The capacitor reaches 90% of its final charge when

[tex]Q(t)=0.90Q_0[/tex]

Substituting and re-arranging the equation, we find:

[tex]0.90Q_0 = Q_0(1-e^{-\frac{t}{RC}})\\0.90=1-e^{-\frac{t}{RC}}\\e^{-\frac{t}{RC}}=0.10\\-\frac{t}{RC}=ln(0.10)\\t=-RCln(0.10)=2.30RC[/tex]

We see that if we double the RC constant, then [tex](RC)'=2(RC)[/tex]

So the time taken will double as well:

[tex]t'=2.30(RC)'=2.30(2RC)=2(2.30RC)=2t[/tex]

So, the answer is "increase"

b)

In this second part, the battery voltage is doubled.

According to the equation written in part a),

[tex]Q_0 =CV[/tex]

this means also that the final charge stored on the capacitor will also double.

However, the equation that gives us the time needed for the capacitor to reach 90% of its full charge is

[tex]t=2.30 RC[/tex]

We see that this equation does not depend at all on the voltage of the battery.

Therefore, if the battery voltage is doubled, the final charge on the capacitor will double as well, but the time needed for the capacitor to reach 90% of its charge will not change.

So the correct answer is

"unchanged"

c)

In this case, a second resistor is added in series with the original resistor of the circuit.

We know that for two resistors in series, the total resistance of the circuit is given by the sum of the individual resistances:

[tex]R=R_1+R_2[/tex]

Since each resistance is a positive value, this means that as we add new resistors, the total resistance of the circuit increases.

Therefore in this problem, if we add a resistor in series to the original circuit, this means that the total resistance of the circuit will increase.

The time taken for the capacitor to reach 90% of its final charge is still

[tex]t=2.30 RC[/tex]

As we can see, this time is directly proportional to the resistance of the circuit, R: therefore, if we add a resistor in series, the resistance of the circuit will increase, and therefore this time will increase as well.

So the correct answer is

"increase"

Answer 2
Final answer:

The time for the capacitor to reach 90% of its final charge in an RC circuit depends on the time constant. Doubling the time constant increases the time, while doubling the battery voltage or adding a second resistor in series does not change the time.

Explanation:

The time for the capacitor to reach 90% of its final charge in an RC circuit depends on the time constant, which is given by the product of the resistance (R) and the capacitance (C), i.e., RC. Let's analyze each change:

(a) If the time constant (t) is doubled, the time for the capacitor to reach 90% of its final charge will increase. This is because a larger time constant means it takes longer for the capacitor to charge or discharge.

(b) If the battery voltage is doubled, the time for the capacitor to reach 90% of its final charge will remain unchanged. This is because the time constant is determined by the product of R and C, and the battery voltage does not affect this product.

(c) If a second resistor is added in series with the original resistor, the time for the capacitor to reach 90% of its final charge would increase. This is because the total resistance in the circuit increases, which slows down the charging or discharging process.


Related Questions

What generates the magnetic field that surrounds a wire carrying an electric current?

Answers

Answer:

A,B,E

Explanation:

Magnetic fields are produced by moving electric charges.

What is an electromagnet?

Electromagnet is a temporary magnet. It is made by winding wire around an iron core. As current flows in the coil the iron becomes a magnet, and when the current is turned off it looses it's magnetic properties.

Magnetic fields are produced by moving electric charges.

Everything around us is made up of atoms, and each atom has a nucleus made of neutrons and protons with electrons that orbit around the nucleus. The orbiting electrons are tiny moving charges. A small magnetic field is created around each atom.

Magnetic fields produced from charges, similarly to electric fields, but are different in that the charges must be moving.

Long straight wire carrying a current is the example of a moving charge that generates a magnetic field.

Therefore,

Moving electric charges produced magnetic field.

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What is the main difference between the intertidal zone and the neritic zone?

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Answer:

the amount of time covered by water or C  

Answer:

the amount of time covered by water

Explanation:

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The earth is warmed by solar energy how is this energy transferred from the sun to the earth

Answers

Answer:

Energy is transferred from the Sun to the Earth through radiation. As water is heated by the sun, it evaporates. The water vapor then condenses and forms clouds in the atmosphere.

Explanation:

When the Sun's energy moves through space, it reaches Earth's atmosphere and finally the surface. This radiant solar energy warms the atmosphere and becomes heat energy. This heat energy is transferred throughout the planet's systems in three ways: by radiation, conduction, and convection.

The energy transferred from the sun to the earth in the form of electromagnetic radiation. This radiant energy warms earth.

What is radiation?

Radiation can be described as the energy that moves from one place to another in a form that can be defined as waves or particles.

There is a wide range of electromagnetic radiation from which visible light is one example.

Radiation with the highest energy like ultraviolet radiation, X-rays, and gamma rays. X-rays and gamma rays exhibit a lot of energy.

When radiations interact with atoms, they remove electrons and cause the atom to become ionized. Radiation can be transferred heat energy through space by electromagnetic radiation.

Most of the radiations that comes to the earth from the sun are invisible. Only a small part comes as visible light because light is composed of waves of different frequencies. Therefore, electromagnetic radiations coming from the sun warm the earth.

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How do you find the volume of a rock

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Answer:

You put the rock in a graduated cylinder and measure how many milliliters it goes up.

Explanation:

An object is pulled with two forces, 10 N northward and 15 N southward. The direction of the net force is to the An object is pulled with two forces, 10 N northward and 15 N southward. The direction of the net force is to the south. north. east. west. none of the above SubmitR

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Answer:

check image

Explanation:

For any question related to newons law of motion first draw the free body diagram(FBD),

The half-life of caffeine is 5 hours. If you ingested a 30 oz Big Gulp, how many oz of caffeine is left after one half life? * Your answer

Answers

Answer:

The amount of caffeine left after one half life of 5 hours is 15 oz.

Explanation:

Half life is the time taken for a radioactive substance to degenerate or decay to half of its original size.

The half life of caffeine is 5 hours. So ingesting a 30 oz, this would be reduced to half of its size after the first 5 hours.

So that:

After one half life of 5 hours, the value of caffeine that would be left is;

                                    [tex]\frac{30}{2}[/tex] = 15 oz

The amount of caffeine left after one half life of 5 hours is 15 oz.

A4 kg bowling ball begins rolling down a at bowling alloy at 6 m/s . When it strikes the pins, it is estimated to be moving at 5 m/s . How much onergy is lost due to friction?

Answers

Answer:

Energy lost due to friction is 22 J      

Explanation:

Mass of the ball m = 4 kg

Initially velocity of ball v = 6 m/sec

So kinetic energy of the ball [tex]KE=\frac{1}{2}mv^2[/tex]

[tex]KE=\frac{1}{2}\times 4\times 6^2=72J[/tex]

Now due to friction velocity decreases to 5 m/sec

Kinetic energy become

[tex]KE=\frac{1}{2}\times 4\times 5^2=50J[/tex]

Therefore energy lost due to friction = 72 -50 = 22 J

Final answer:

The energy lost due to friction as a 4 kg bowling ball slows down from 6 m/s to 5 m/s is 22 Joules. This is calculated using the difference between the initial and final kinetic energies.

Explanation:

The subject of this question is Physics, and it pertains to the High School level. The student is looking to understand the energy lost due to friction as a 4 kg bowling ball slows down from 6 m/s to 5 m/s. To calculate the energy lost, we use the kinetic energy formula:
Kinetic Energy (KE) = 1/2 m v^2

We calculate the initial and final kinetic energies and find the difference:

Initial KE = 1/2 (4 kg) (6 m/s)^2 = 72 JoulesFinal KE = 1/2 (4 kg) (5 m/s)^2 = 50 Joules

The energy lost due to friction is the difference between the initial and final kinetic energies:

Energy lost = Initial KE - Final KE = 72 Joules - 50 Joules = 22 Joules

What is zero uniform velocity motion

Answers

Answer:

A: In an observer's reference frame, motion lacking uniform velocity includes motion at constant or variable speed in a circle; and motion of a reciprocating device. Supposing the zero refers to the “uniform velocity” rather than the motion removes the possibility of an object at rest.

Explanation:

What happens to a flexible container of gas when it is heated

Answers

Answer:

There is an increase in volume of the container, because it is a flexible container and he no fixed volume.

Explanation:

Because of the application of temperature , the molecules tends to expand and will try to free up.

Because the container the fas is inside is flexible, it will amount to increase in volume.

V1/T1= V2/T2

Showing the connection between volume and temperature.

Recent research indicates that the variation in solar output ________.

Answers

is less than any of the anthropogenic factors affecting climate change
Final answer:

The variation in solar output, or solar irradiance, can affect Earth's climate. Increased solar output can cause global warming, while decreased output can lead to cooling. These changes may interact with human-induced climate change, adding complexity to the climate scenario.

Explanation:

Recent research indicates that the variation in solar output can have significant impacts on Earth's climate. The sun's energy output, also known as solar irradiance, is not constant but changes in cycles. An increase in the sun's solar output can intensify Earth's weather patterns and temperatures, leading to global warming, while a decrease can lead to a period of cooling, which can be severe enough to cause an ice age as what happened during the Maunder Minimum in the 17th century. These are not immediate changes but play out over many generations.

In terms of Earth's climate, the variation in solar output may at times overlap or interact with the effects of human-induced climate change, complicating the overall picture. Therefore, it is crucial to understand both natural and human-induced factors influencing our planet's climate.

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Three thermometers are in the same water bath. After thermal equilibrium is established, it is found that the Celsius thermometer reads 100°C, the Fahrenheit thermometer reads 212°F the Kelvin thermometer reads 273 K. Which one of the following statements is the most reasonable conclusion? a. The Kelvin thermometer is incorrect. b. The Celsius thermometer is incorrect. c. All three thermometers are incorrect. d. The three thermometers are at different temperatures. e. The Fahrenheit thermometer is incorrect.

Answers

Answer:

OPTION A, Kelvin Thermometer is Incorrect

Explanation:

Now, if you consider best two out of three results, then celsius and Fahrenheit thermometers read the same value, meaning both are right.

1) K = °C + 273

K = 100°C + 273

k = 373°C

Kelvin Thermometer is Incorrect

2) [tex]C = \frac{F - 32}{1.8}[/tex]

when we have 212°F

[tex]C = \frac{212 - 32}{1.8} \\\\= 100^\circ C[/tex]

which is correct

Brainly, can you please help me?

Answers

Answer:

yes

Explanation:

Answer:

with what

Explanation:

What factors determine the electrostatic force between two objects?

Answers

Answer:

The electrostatic force between two objects depends on two factors.

The first factor is the charge, if the charge of the two objects is large then the magnitude of the electrostatic force between them will also be large.

The second factor is the distance, if the distance between the charge is less the magnitude of electrostatic force will be large vice versa.

We can say that the electrostatic force is directly proportional to charge and inversely proportional to the separation between the charge.

Andrea asked her brother to take a 4 ft floating raft out of the water near the wave-swept shore. Using this raft as a measuring tool, she estimated that the wavelengths of these particular ocean waves were about 11 ft.

How fast are these surface ocean waves if the frequency remains 16 Hz?

Answer in units of ft/s.

Answers

Answer:

176ft/s

Explanation:

Speed of a wave is a function of the frequency and wavelength of the wave. It is expressed mathematically as:

V = fλ where:

V is the speed of the wave

f is the frequency

λ is the wavelength

Given f = 16Hz, λ = 11ft

V = 16×11

V = 176ft/s

HELP ASAP How are the bars in barred spiral galaxies thought to have formed?
A. separation
B. primordial collapse
C. merging
D. slow evolution

Answers

Answer:

D. slow evolution

Explanation:

The bars in barred spiral galaxies are formed through ; ( D ) slow evolution

Barred spiral galaxies are galaxies which appear with its center having a bar-shaped structure which is populated with stars, and this is found/commonly seen in about 50% of spiral galaxies.

The bar shaped center helps with the regulation of the movement of stars, dust and gas in the spiral galaxies.The bars are formed as the spiral galaxies continue to evolve slowly overtime.

Hence we can conclude that The bars in barred spiral galaxies are formed through slow evolution.

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How does temperature affect the density of a material. ?

Help ASAP please also I can’t use an explanation from google...

Answers

Answer:

Explanation:

Heating a substance causes molecules to speed up and spread slightly further apart, occupying a larger volume that results in a decrease in density. ... Hot water is less dense and will float on room-temperature water. Cold water is more dense and will sink in room-temperature water.

How are electromagnetic waves different from ocean waves

Answers

Final answer:

Electromagnetic waves can travel through matter and a vacuum, and carry energy via their electric and magnetic fields. Meanwhile, ocean waves are mechanical, requiring water to move and don't carry energy in the same way. This fundamental difference in propagation and energy transfer sets the two apart.

Explanation:

Electromagnetic waves and ocean waves differ significantly in their nature and behavior. Electromagnetic waves are disturbances in the electric and magnetic fields and do not require a medium to propagate. They can travel through both matter and a vacuum, such as outer space, and all electromagnetic waves move at the same speed in empty space. This makes them different from other waves, such as sound and water waves, which are mechanical and require a medium (like air or water) to travel through.

On the other hand, ocean waves are mechanical waves that require water to move. These can be modeled using sine or cosine functions, depending on their wavelength, amplitude, and frequency. Unlike electromagnetic waves, ocean waves cannot move through a vacuum or empty space.

Another key difference is in the way electromagnetic waves bring energy into a system due to their electric and magnetic fields. These fields can exert forces and move charges in the system and thus do work on them.

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Electromagnetic waves are produced by the vibration of charged particles, can travel through a vacuum, and always travel at the speed of light. Unlike them, ocean waves require a medium to travel and their properties are influenced by environmental factors.

Differences Between Electromagnetic Waves and Ocean Waves

Electromagnetic waves differ from ocean waves in several fundamental ways. While both are forms of energy propagation, electromagnetic waves are produced by the vibration of charged particles and do not require a medium, meaning they can travel through the vacuum of space. In contrast, ocean waves are mechanical waves that require a medium, such as water, to travel. Electromagnetic waves have both electric and magnetic components and travel at the speed of light, which is a constant 300 million meters per second, regardless of their frequency or wavelength.

Another key difference is in how the waves carry energy. Longer electromagnetic waves, like radio waves, carry less energy and have lower frequencies, while shorter waves, like gamma rays, carry more energy and have higher frequencies. Ocean waves, on the other hand, have their energy and properties determined by factors such as wind, the gravitational pull of the moon, and the Earth's topography.

_______ is a liquid that absorbs and releases thermal energy.

Answers

Answer:

Refrigerator is a liquid or substance that absorbs and releases thermal energy.

Explanation:

Refrigerator creates liquid by increasing the pressure of the refrigerator vapor inside and forcing them outside the refrigerator into the coils.This is the process which leads to the conversion of the hot gas in the refrigerator coils into liquid form.The liquid form of the refrigerator subsequently absorbs the heat that is created inside the refrigerator thereby cooling the air inside and releasing thermal energy in the process.

Light striking a metal plate can eject electrons from the plate's surface (this is called the photoelectric effect). Imagine that we place the plate in a vacuum and set up an electric field in the plate's vicinity that is uniform in magnitude and direction such that the electric field vector E at any point near the plate has a magnitude of 1000 N/C and points directly away from the plate, perpendicular to its surface. Electrons ejected by the photoelectric effect will have initial kinetic energies of no more than about 3 eV, where 1 eV = 1.6 x 10^-19 J. Roughly estimate the maximum distance that an ejected electron can get from the plate under these circumstances. (Hint: Consider an analogy to the behavoir of a thrown ball in a uniform gravitational field.)

Answers

Answer: The kinetic energy in physics can be defined as the energy possessed by the body when it is in motion relatively to the other bodies. This energy depends on the mass of the body and the square of the velocity. Its measurable unit is in Joules.

Answer and Explanation:

Given data:

The electric field is

E

=

1000

N

/

C

The initial kinetic energy of the ejected electrons is

k

=

3

e

V

=

(

3

×

1.6

×

10

19

)

J

The expression for the conservation of energy of the electrons is given by

k

=

U

p

k

=

e

V

Here

U

p

=

e

V

is the potential energy of the electron

Here

V

=

E

d

is the electric potential in electric field

Here

e

=

1.6

×

10

19

C

is the charge of the electon

Substituting the values in the above equation as,

k

=

q

V

k

=

e

(

E

d

)

(

3

×

1.6

×

10

19

J

)

=

(

1.6

×

10

19

C

)

(

1000

N

/

C

)

×

d

d

=

0.003

m

d

=

3

m

m

Explanation:

Waves are used in many practical applications to support work, entertainment, and health. One example is the use of ultrasound imaging to safely track the development of a growing fetus. What is a specific example of a practical application of waves in medicine, entertainment, safety, or other fields? Provide a brief explanation of how the properties of waves are useful to that application.

Answers

Answer:

A wave is defined as the disturbance of some property of a medium, be it the density, the pressure, or the electric field, propagating through space and thus transporting energy. An application of waves in medicine is ultrasound examinations. These images are taken in real time, showing the structure and the

movement of the internal organs, as well as the blood that goes through the blood vessels.

In entertainment, a common application of the waves is civil radio communication. This consists of the transmission of the signals of a certain type of electromagnetic waves. When they are modulated, the frequency or amplitude is modified and in this way the information is transmitted, from the emitter to the receivers. Then they transform into electrical impulses and then into audible sounds.

Explanation:

A specific example of a practical application of waves in medicine is the capturing of the body structures to detect abnormalities in them.

The Ultrasound Machine

The ultrasound machine is a device that generates high-frequency sound waves that are reflected off body structures. For example, to detect an abnormality like kidney stones, an ultrasound machine can be used to capture the kidney.

This image will be examined by a medical examiner who analyzes the nature of the stones.

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A metal rod A and a metal sphere B, on insulating stands, touch each other. They are originally neutral. A positively charged rod is brought near (but not touching) the far end of A. While the charged rod is still close, A and B are separated. The charged rod is then withdrawn. Is the sphere then positively charged, negatively charged, or neutral?

Answers

Answer:

The sphere is positively charged

Explanation:

This is because when the positively charged rod is brought near the metal rod A, the electrons in metal rod A and sphere B are attracted towards it into metal rod A while the positive charges in the are repelled into sphere B. So, when the charged rod is withdrawn, and metal rod A and sphere B are separated, metal rod A is now negatively charged, but sphere B is positively charged.

So, sphere B is positively charged.

Final answer:

After the process of charging by induction and separation while a positively charged rod is nearby, sphere B ends up being positively charged due to a deficit of electrons.

Explanation:

The question revolves around the concept of charging by induction, a fundamental concept in electrostatics within physics. In this situation, a metal rod A and a metal sphere B, both initially neutral and on insulating stands, are in contact. A positively charged rod is brought near rod A, causing electrons in the metal rod and sphere to be attracted towards the end closest to the charged rod. This leaves the portion of rod A farthest from the charged rod, and sphere B, positively charged due to the deficit of electrons.

When A and B are separated while the charged rod is still nearby, this separation of charges is maintained: rod A will retain a surplus of electrons (negatively charged) near the side of the positively charged rod, and sphere B will be left positively charged due to a deficit of electrons. Once the positively charged rod is removed, both objects retain their induction-caused charges. Therefore, sphere B ends up being positively charged.

A 1000 kg car traveling 20 m/s east experiences an impulse of 2000 Ns west. What is the final velocity of the car after the impulse has been applied?

Answers

Answer:

V=18 m/s

Explanation:

Impulse is represented by Δp. It can be expanded such as: Δp = m(v-u) , where m is mass, v is final velocity, and u is initial velocity. (sorry ib physics things)

You can substitute your given values into the equation.

Δp = -2000 (i kept this as negative since it is going the opposite direction to your initial velocity)

m = 1000 kg

u = 20 m/s

1.  -2000 = 1000(v-20)  --> -2000/1000

2.   -2 = v-20 --> -2 + 20

3.  v = 18 m/s

You can always double check your answer by substituting it back into the original equation to make sure the Δp = -2000

1.Two skaters, Evelyn and Lily, face each other on near frictionless ice. Evelyn has a mass of 57.4 kg, and Lily has a mass of 48.3 kg. Both are motionless until they push away with a force of 33 N. Then Evelyn has a velocity of 1.4 m/s. What is Lily's velocity

Answers

Answer:

-1.67 m/s

Explanation:

We can solve this problem by using the law of conservation of momentum: in fact, since the system is isolated (no external forces, since the ice is frictionless), the total momentum of Evelyin and Lily must be conserved.

The total momentum before is zero, since they are both at rest:

[tex]p_i = 0[/tex]

The total momentum after is:

[tex]p_f = mv+MV[/tex]

where

m = 48.3 kg is Lily's mass

M = 57.4 kg is Evelyin's mass

V = 1.4 m/s is Evelyn's velocity

v is the Lily's velocity

Since momentum is conserved,

[tex]p_i=p_f[/tex]

And so

[tex]0=mv+MV[/tex]

Solving for v, we find Lily's velocity:

[tex]v=-\frac{MV}{m}=-\frac{(57.4)(1.4)}{48.3}=-1.67 m/s[/tex]

And the negative sign indicates that her direction is opposite to Evelyn's direction.

How is the reaction quotient used to determine whether a system is at equilibrium?

Answers

The reaction quotient (Q) is used to determine whether a system is at equilibrium by comparing it to the equilibrium constant (K).

The reaction quotient (Q) is used to determine whether a system is at equilibrium by comparing it to the equilibrium constant (K).

Here's how the reaction quotient is used to assess the system's status:

1. If Q = K, the system is at equilibrium. This means that the concentrations of the reactants and products in the system are such that the forward and reverse reactions occur at the same rate.

2. If Q < K, the system is not at equilibrium and will shift to the right to reach equilibrium. This indicates that the concentrations of the products are lower than what is required for equilibrium, so the forward reaction will be favored.

3. If Q > K, the system is not at equilibrium and will shift to the left to reach equilibrium. This suggests that the concentrations of the products are higher than what is needed for equilibrium, so the reverse reaction will be favored.

By comparing the reaction quotient (Q) to the equilibrium constant (K), we can determine whether a system is at equilibrium, and if not, in which direction the reaction will proceed to establish equilibrium.

A basketball player makes a jump shot. The 0.599 kg ball is released at a height of 2.18 m above the floor with a speed of 7.05 m/s. The ball goes through the net 3.10 m above the floor at a speed of 4.19 m/s. What is the work done on the ball by air resistance, a nonconservative force?

Answers

Answer:

[tex]W_{drag} = 4.223\,J[/tex]

Explanation:

The situation can be described by the Principle of Energy Conservation and the Work-Energy Theorem:

[tex]U_{g,A}+K_{A} = U_{g,B} + K_{B} + W_{drag}[/tex]

The work done on the ball due to drag is:

[tex]W_{drag} = (U_{g,A}-U_{g,B})+(K_{A}-K_{B})[/tex]

[tex]W_{drag} = m\cdot g\cdot (h_{A}-h_{B})+ \frac{1}{2}\cdot m \cdot (v_{A}^{2}-v_{B}^{2})[/tex]

[tex]W_{drag} = (0.599\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (2.18\,m-3.10\,m)+\frac{1}{2}\cdot (0.599\,kg)\cdot [(7.05\,\frac{m}{s} )^{2}-(4.19\,\frac{m}{s} )^{2}][/tex]

[tex]W_{drag} = 4.223\,J[/tex]

Answer:

W = -4.22 J

Explanation:

Given

m = 0.599 kg

vi = 7.05 m/s

yi = 2.18 m

vf = 4.19 m/s

yf = 3.10 m

We apply the equations of the Principle of Energy Conservation and the Work-Energy Theorem

W = Ef - Ei

W = (Kf + Uf) - (Ki + Ui)

W = (m/2)(vf² - vi²) + mg(yf - yi)

W = (0.599 kg/2)((4.19 m/s)² - (7.05 m/s)²) + (0.599 kg)(9.81m/s²)(3.10 m - 2.18 m)

W = -4.22 J

You wish to lift a 12,000 lb stone by a vertical distance of 15 ft. Unfortunately, you can only generate a maximum pushing force of 2,000 lb. What is the amount of work you must input in order to move the stone

Answers

Answer:

5,760,000 lb-ft²/s²

Explanation:

Work done, W = mgy where m = mass of stone = 12,000 lb, g = 32 ft/s² and y = vertical distance = 15 ft.

So, W = mgy = 12,000 lb × 32 ft/s² × 15 ft. = 5,760,000 lb-ft²/s²

Sunspots change in number and location during the solar cycle. This phenomenon is connected to

Answers

Answer:

Continuously changing magnetic field of the Sun

Explanation:

The Sun is made up of plasma and is not solid like our planet. When it rotates the whole of the Sun doesn't rotate with same speed. The equatorial part completes the rotation in just 25 days whereas the poles do it in 35 days. Due to this the magnetic field lines entangle and reorganize them regularly.

The places where the field line exit and enter the surface of the Sun, temperature drops by around 1000 K thus these spots appear black in color and are known as Sun spots.

The magnetic field is not permanent as it will keep changing due to differential rotation. This will result in the change in the no. of location of Sun spots.

If we track the no. of sunspots visible with respect to years we will notice that they follow a cycle of 10.6 years. This is known as Solar cycle in which there comes a solar minima when we see very few sunspots. When it is solar maxima we can see more than 100 sunspots.

1 point

If you had an object (m=55kg) with a mechanical energy (TOTAL ENERGY)

of 4,306J and 2,940J of that is potential energy. What is the objects

velocity?

Answers

Given that,

Mass of object, m = 55 kg

Mechanical energy of the object, M = 4306 J    

Potential energy, P = 2940 J

We know that the mechanical energy is the sum of kinetic and potential energy such that,

Mechanical energy = kinetic energy + potential energy

[tex]K=M-P\\\\K=4306-2940\\\\K=1366\ J[/tex]

Kinetic energy is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]v is velocity of object

[tex]v=\sqrt{\dfrac{2K}{m}} \\\\v=\sqrt{\dfrac{2\times 1366}{55}} \\\\v=7.04\ m/s[/tex]

So, the velocity of object is 7.04 m/s.            

With an average speed of 67m/s, how long does it take a falcon to dive to the ground
along a 150m path?

Answers

Answer:

approx 2.23 seconds

Explanation:

150/67

s=d/t and t=d/s

I think you divide 150 and 67, which is like 2.238 and so on

Fig. 9.1
(i) On Fig. 9.1, mark the north and south poles of the magnet, using the letters N and S.
[2]
(ii) A small piece of unmagnetised iron is placed at A.
What, if anything, happens to it?
(iii)
A small piece of positively charged plastic is placed at B.
What, if anything, happens to it?​

Answers

Answer:

Okay let say from the diagram you have more force come in from the B point of the magnet and release out from A point of the magnet. so lets say north is always the attractive spot and south is your releasing spot.

Explanation:

meaning from magnet the north pole attracts objects and the south pole repeal object.

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