A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed out of the plane of the page. The external field decreases to 0.020 T in 12 milliseconds. (a) What is the magnitude of the change in the external magnetic flux enclosed by the coil? (b) What is the magnitude of the average voltage induced in the coil as the external flux is changing? (c) If the coil has a resistance of 4.0 ohms, what is the magnitude of the average current in the coil?

Answers

Answer 1

(a) 0.0068 Wb

Since the plane of the coil is perpendicular to the magnetic field, the magnetic flux through the coil is given by

[tex]\Phi = NBA[/tex]

where

N = 200 is the number of loops in the coil

B is the magnetic field intensity

[tex]A=8.5 cm^2 = 8.5\cdot 10^{-4} m^2[/tex] is the area of the coil

At the beginning, we have

[tex]B_i = 0.060 T[/tex]

so the initial magnetic flux is

[tex]B_i = (200)(0.060 T)(8.5\cdot 10^{-4} m^2)=0.0102 Wb[/tex]

at the end, we have

[tex]B_f=0.020 T[/tex]

so the final magnetic flux is

[tex]B_f = (200)(0.020 T)(8.5\cdot 10^{-4} m^2)=0.0034 Wb[/tex]

So the magnitude of the change in the external magnetic flux through the coil is

[tex]\Delta \Phi = |\Phi_f - \Phi_i|=|0.0034 Wb-0.0102 Wb|=0.0068 Wb[/tex]

(b) 0.567 V

The magnitude of the average voltage (emf) induced in the coil is given by Faraday-Newmann law

[tex]\epsilon= \frac{\Delta \Phi}{\Delta t}[/tex]

where

[tex]\Delta \Phi = 0.0068 Wb[/tex] is the variation of magnetic flux

[tex]\Delta t = 12 ms = 0.012 s[/tex] is the time interval

Substituting into the formula, we find

[tex]\epsilon=\frac{0.0068 Wb}{0.012 s}=0.567 V[/tex]

(c) 0.142 A

The average current in the coil can be found by using Ohm's law:

[tex]I=\frac{V}{R}[/tex]

where

I is the current

V is the voltage

R is the resistance

Here we have:

V = 0.567 V (induced voltage)

[tex]R=4.0 \Omega[/tex] (resistance of the coil)

Solving for I, we find

[tex]I=\frac{0.567 V}{4.0 \Omega}=0.142 A[/tex]

Answer 2
Final answer:

We calculate the change in magnetic flux with ΔΦ = n*A*(Bf - Bi). The average induced voltage (or emf) can be computed using Faraday’s Law (ΔV = - ΔΦ / Δt). The average current is calculated using Ohm's Law (I = ΔV / R).

Explanation:

This question involves the concepts of electromagnetic induction and Ohm's Law. To solve the problem, we'll use Faraday's Law of electromagnetic induction and Ohm's law.

(a) The magnitude of change in external magnetic flux enclosed by the coil is calculated using the formula: ΔΦ = n*A*(Bf - Bi) where ΔΦ is the change in flux, n is the number of loops, A is the cross-sectional area, Bf is the final magnetic field strength, and Bi is the initial magnetic field strength. Using the given values, ΔΦ = 200 * (8.5E-4 m²) * (0.020 T - 0.060 T) = -0.0068 Weber.

(b)The average voltage (or emf) induced in the coil as the external flux is changing is given by Faraday’s law: ΔV = - ΔΦ / Δt, where Δt is the change in time. Thus, ΔV = - (-0.0068 Wb) / 12E-3 s = 0.57 V.

(c)Finally, the average current in the coil can be found using Ohm's Law: I = ΔV / R, where R is the resistance. Hence, I = 0.57 V / 4.0 Ω = 0.1425 A.

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Related Questions

How do carbon-12 and carbon-13 differ?
Select all that apply.

They have different amounts of neutrons.
They have different amounts of electrons.
They have different mass numbers.
They have different atomic charges.

Answers

They have different amount of neutrons

Answer:

They have different amounts of neutrons.  They have different mass numbers.

An object is placed 8.5 cm in front of a convex spherical mirror of focal length −14.0 cm. What is the image distance? Show all work and include units of measure.

Answers

Given:

u = 8.5 cm

f = -14.0 cm

v = image distance

Using the mirror formula 1/u + 1/v = 1/f

1/8.5 + 1/v = 1/-14.0

Rewrite to solve for v:

v = (8.5 * -14.0) / (8.5 - (-14.0))

v = -119 / 22.5

v = -5.29 cm  ( round answer as needed.)

Calculate the number of moles of oxygen in a 12.5-l tank if the pressure is 25325 kpa and the temperature is 22°c

Answers

Answer:

= 129.06 moles

Explanation:

Using the ideal gas equation;

PV = nRT

Where; P is the pressure, V is the volumes, n is the number of moles, R is the ideal gas constant and T is the temperature.

In this case; V = 12.5 L, P = 25325 kpa or 249.94 atm, T = 22 + 273 = 295 K and R= 0.08206L atm/mol K

n = PV/RT

 = (12.5 × 249.94)/(0.08206 × 295)

 = 129.06 moles

An electromagnetic wave with an electric field that oscillates with a period of 8.43 ps is travelling in a vacuum. What is the wavelength of this electromagnetic wave?

Answers

"ps" stands for "pico-second".  It means 10⁻¹² second.

The period of this wave is 8.43 x 10⁻¹² second.

In a vacuum, the speed of any electromagnetic wave is 3 x 10⁸ m/s.

Wavelength = (speed) / (frequency)

But Frequency = 1 / period

So Wavelength = (speed) x (period)

Wavelength = (3 x 10⁸ m/s) x (8.43 x 10⁻¹² sec)

Wavelength = 2.5 x 10⁻³ meter

Wavelength = 2.5 millimeters

Final answer:

You can find the wavelength of an electromagnetic wave with a given period by first calculating frequency using the formula f = 1/T. Then, use the universal wave equation c = λv, to find the wavelength, λ = c/f. Plugging all the values, we find the wavelength is about 2.53 meters.

Explanation:

The subject of this question revolves around an

electromagnetic wave

with a given oscillation period and we need to find its wavelength. To solve this, we first have to convert the period into frequency, as the two are inverse to each other.

The frequency (f) can be calculated by taking the reciprocal of the period (T), so f = 1/T. Given that T = 8.43 ps (ps is picoseconds and 1 ps equals 10^-12 seconds), the frequency would therefore be f = 1/(8.43x10^-12 s) which equals approximately 1.19x10^11 Hz (Hz is the unit of frequency).

Now we use the universal wave equation, c = λv, where c is the speed of light (approximately 3 x 10^8 ms^-1 in a vacuum), v is the frequency, and λ is the wavelength we're trying to find. Solving for λ, we get λ = c/f. Substituting the values, we get λ = (3x10^8 m/s) / (1.19x10^11 Hz), which computes to approximately λ = 2.53m. Therefore, the wavelength of this electromagnetic wave is approximately 2.53 meters.

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Which of the following statements are true regarding transformers?Check all that apply.
In a transformer, if the primary coil contains more loops than the secondary coil, then it is a step-up transformer.A transformer converts mechanical energy into electrical energy.A transformer is used to increase or decrease a direct current voltage.A transformer is used to increase or decrease an alternating current voltage.In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.In a transformer, the power input is less than the power output.

Answers

Answer:

In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.

Explanation:

A transformer is made up of primary coil and secondary coil. when the number of loops in the secondary coil is less than the primary coil, the transformer is called step down transformer. Also if the number of loops in the secondary coil is more than the primary coil, then it is called a step-up transformer.  In a step-up transformer the voltage output will be greater.

Answer:

There are two correct options.

1. A transformer is used to increase or decrease an alternating current voltage.

2. In a transformer, if the secondary coil contains more loops than the primary coil, then it is a step-up transformer.

Explanation:

A transformer is a device which has two coils. One is primary coil and other is secondary coil.

Input is given to primary coil and output is taken out from secondary coil.

A transformer can increase or decrease the output voltage by setting the number of turns in primary and secondary coil.

If the number of turns in primary coil is less than the number of turns in secondary coil, then it is step up transformer. It increases the output voltage.

The relation between the number of turns and the voltage is given by

[tex]\frac{N_{s}}{N_{p}}=\frac{V_{s}}{V_{p}}=\frac{I_{p}}{I_{s}}[/tex]

Where, Np = number of turns in primary coil

Ns = number of turns in secondary coil

Vp = ac voltage across primary coil

Vs = ac voltage across secondary coil

Ip = ac current across primary coil

Is = ac current across secondary coil

The velocity of an object is equal to the distance divided by time. The equation is velocity = distance/time. If you wanted to calculate the TIME required for an object to travel a distance and you knew the velocity, you would A) multiply: velocity X distance. B) subtract: velocity – distance. C) divide: distance ÷ velocity D) add: velocity + distance

Answers

Answer: C) divide: distance ÷ velocity

Explanation:

The velocity [tex]V[/tex] equation is distance [tex]d[/tex] divided by time [tex]t[/tex]:

[tex]V=\frac{d}{t}[/tex]

If we isolate [tex]t[/tex] we will have:

[tex]t=\frac{d}{V}[/tex]

Hence, the correct option is C: distance divided by velocity.

1. All of the following would employee ocean engineers EXCEPT?
A. The military
B. Coastal Regions
C. Weather services
D. Scuba gear companies

2. Agriculture is to grain as aquaculture is to
A. Science
B. Seaweed
C. Fish Food
D. Aqueduct

3. How did American captain William Anderson eliminate the problem of ice packs when exploring the arctic?
A. He designed the ship to melt the ice
B. He went under the ice packs with a submarine
C. He developed a particularity narrow ship
D. He went when temperatures were warmer

4. The first echo sounder was used in a German submarine
True or False

5. Supporting all stakeholders means that?
A. Any solution benefits for all stakeholders equally
B. The solution favors human needs over environmental
C. One stakeholder is supported by the expense of the others
D. All needs are taken into account and solutions are designed to consider them all

6. ROVs can play an important role in managing man made disasters in the ocean
True or False

7. One of the biggest challenges in exploring polar regions is
A. Ice packs
B. Hurricanes
C. Polar bears and walruses
D. Lack of latitude and longitude

8. Regardless of the scientific question being asked, scientific research will include all of the following EXCEPT?
A. Use of the scientific method
B. A single approach in every situation
C. Exploration of work by previous scientists
D. Sharing results with the scientific community

9. Chemical oceanographers often study pollution because
A. Most pollution occurs in the ocean
B. Pollution creates chemical changes
C. No other field examines the implications of pollution
D. Only chemical oceanography uses the scientific method

10. Which of the following is a pinniped?
A. Walrus
B. Penguin
C. Arctic fox
D. Polar bear

11. The national oceanic and Atmospheric administration use to buoys to monitor
A. Ship traffic
B. Weather patterns via satellite
C. Movement of tectonic plates
D. Water conditions around coral reefs

12. Most marine science jobs that involve conducting research will require an advanced degree?
True or False

13. Offshore drilling is the concern of
A. Coastal regions
B. Freshwater lakes
C. Inland rivers and streams
D. The deeper parts of the ocean

Answers

Your Answers:

1: C. Weather Services

2: B. Seaweed

3: C. He developed a particularity narrow ship (I think.)

4:  True The founder/creator of the first echo sounder was German inventor, Alexander Behm.

5: B. The solution favors human needs over environmental. (I think.)

6: True (I think)

7: C. Polar bears and Walruses (I think.)

8: B. A single approach in every situation (I think)

9: A. Most pollution occurs in the ocean

10: A. Walrus Definition of a pinniped: a carnivorous aquatic mammal of the order <i>Pinnipedia</i>, such as a seal or walrus.

11: D. Water conditions around coral reefs (I think)

12: True

13: A. Coastal regions (I think)

Sorry if any of them are incorrect. Some of these I am unsure of how to answer. Hope I helped you,

-Anime.

Answer:

1.C.

2: B.

3: C.

4:  ?

5: B.

6: True

7: C.

8: B.

9: A.

10: A..

11: D.

Explanation:

The lowest frequency in the audible range is 20 Hz.a)What is the length of the shortest open-open tube needed to produce this frequency?b)What is the length of the shortest open-closed tube needed to produce this frequency?

Answers

a) 8.58 m

For an open-open tube, the fundamental frequency is given by

[tex]f=\frac{v}{2L}[/tex]

where

f is the fundamental frequency (the lowest frequency)

v is the speed of sound

L is the length of the tube

In this problem, we have

f = 20 Hz

v = 343 m/s (speed of sound in air)

Solving the equation for L, we find the shortest length of the tube:

[tex]L=\frac{v}{2f}=\frac{343 m/s}{2(20 Hz)}=8.58 m[/tex]

(b) 4.29 m

For an open-closed tube, the fundamental frequency is instead given by

[tex]f=\frac{v}{4L}[/tex]

Where in this problem, we have

f = 20 Hz

v = 343 m/s (speed of sound in air)

Solving the equation for L, we find the shortest length of the tube:

[tex]L=\frac{v}{4f}=\frac{343 m/s}{4(20 Hz)}=4.29 m[/tex]

many metamorphic rocks are found along the southwest border of mexico. what is a likely reason for this ?

Answers

The reason why there is an abundance of metamorphic rocks in the southwestern part of Mexico is the intense geologic activity in this area. In this area there is geologic activity triggered by the convergent plate boundary of the North American plate and the Cocos plate. The Cocos plate subducts bellow the North American plate, and that causes the surrounding crust to be exposed to high temperatures and pressures. Those high temperatures and pressure lead to metamorphism of the rocks that are deep into the crust. Also, the land is lifted up because of the subduction zone, so these metamorphic rocks start to emerge on the surface or very close to it because they have been pushed upwards.

The decay constant of a radioactive nuclide is 4.6 x 10^-3 s^-1. What is the half-life of the nuclide?
2.5 min
2.0 min
1.4 min
3.6 min
3.1 min

Answers

Answer:

2.5s

Explanation:

Given parameters:

Decay constant of the nuclide = 4.6 x 10⁻³s⁻¹

Unkown:

Half life =?

The half life is the time take for half of the radioactive nuclei to disintegrate. It is mathematically expressed as:

Half life = 0.693/λ

Where λ is the decay constant

Since we have been given λ we plug it into the equation:

Half life = 0.693/4.6 x 10⁻³

Half life = 0.693/0.0046

Half life =150. 65s

Now we convert to minutes because the options are in minutes:

60s = 1 minute

150.65s = 150.65/60 = 2.5s

The half life of the nuclide is 2.5s

Define gravity in your own words.

Answers

Answer:

The word "gravity" refers to the force that pulls an object to another object. More specifically, it is the force that the Earth or another heavenly body exerts on people or objects, pulling them toward it.

Explanation:

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A single circular loop with a radius of 35 cm is placed in a uniform external magnetic field with a strength of 0.50 T so that the plane of the coil is perpendicular to the field. The coil is pulled steadily out of the field in 15 s. Find the magnitude of the average induced emf during this interval. Show all work and include units of measure.

Answers

Answer:

0.0129 V

Explanation:

The average emf induced in the coil is given by Faraday-Newmann-Lenz:

[tex]\epsilon=-\frac{\Delta \Phi_B}{\Delta t}[/tex]

where

[tex]\Delta \Phi_B[/tex] is the variation of magnetic flux through the coil

[tex]\Delta t = 15 s[/tex] is the time interval

Here we have

B = 0.50 T is the strength of the magnetic field

The radius of the coil is

r = 35 cm = 0.35 m

So the area is

[tex]A=\pi r^2 = \pi (0.35 m)^2=0.385 m^2[/tex]

The initial flux through the coil is

[tex]\Phi_i = BA = (0.50 T)(0.385 m^2)=0.193 Wb[/tex]

while the final flux is zero, since the coil has been completely removed from the magnetic field region; so, the variation of magnetic flux is

[tex]\Delta \Phi = \Phi_f - \Phi_i = -0.193 Wb[/tex]

and so, the average emf induced is

[tex]\epsilon=-\frac{-0.193 Wb}{15 s}=0.0129 V[/tex]

State two advantages of a lead-acid accumulator over a leclanche cell​

Answers

Answer:

They are rechargeable

They have a longer life span

They are reusable

Explanation:

Lead acid accumulators and leclanche cells are types of electrochemical cells.

Leclanche cells are primary cells. Primary cells produce chemical reactions through which the electric current generated is irreversible.

Lead Acid Accumulators are secondary cells in which electric current generated is reversible.

This makes lead acid accumulators reusable, more durable and they have a longer life span.

Final answer:

The two advantages of a lead-acid accumulator over a Leclanché cell are its rechargeability and its higher current output, which makes it suitable for applications such as starting car engines.

Explanation:

There are two main advantages of a lead-acid accumulator (also known as a lead-acid battery) over a Leclanché cell.  

Rechargeability: One of the key advantages of a lead-acid accumulator is that it is rechargeable. This means that after the battery has been discharged (used), it can be recharged again with an external power source. This is in contrast to a Leclanché cell, which is typically not rechargeable. The ability to recharge a lead-acid battery prolongs its lifespan and makes it more cost-effective over the long term. Higher Current Output: Lead-acid accumulators can produce a high current output, which is necessary for starting automobile engines. Because of this, they are commonly utilized in vehicles. This is an advantage over the Leclanché cell, as it typically does not produce as high a current output.

It is important to note that, despite these advantages, lead-acid batteries contain a significant amount of lead and a caustic liquid electrolyte, both of which must be handled and disposed of properly due to their environmental impact.

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Which of these sentences features an endorsement? Select all that apply.

Pete's Pizza Parlor delivers hot and delicious pizza in a flash!
The crust on the pizza from Pete's Pizza Parlor is as thin and bland as cardboard.
Lou's Dress Boutique features all organic and high-quality clothing materials.
Lunch Bunch is the perfect portable lunch for home, work, or school.

Answers

Answer:

a

Explanation:

Work is only being done when what happens to an object?

A) the object does not move

B) the object disappears without explanation

C) it moves in the same direction as the force

D) The object moves in the opposite direction of the force

Ik it's not A or B

Answers

Answer:

C) it moves in the same direction as the force  

D) The object moves in the opposite direction of the force

Explanation:

As we know by work energy theorem that when work is done on the system of mass then

[tex]W_{net} = KE_f - KE_i[/tex]

now as per the definition of work done we know that

[tex]W = F.d[/tex]

[tex]W = Fdcos\theta[/tex]

so here we will say that when force is applied in the direction of the displacement of the object then it is always positive work and if work is applied in the opposite direction of the displacement of object then it is always negative work.

So here when force is applied then the point of application must move either in the direction of force or in the opposite direction of the force.

so correct answer will be

C) it moves in the same direction as the force  

D) The object moves in the opposite direction of the force

For every action there is an equal and opposite reaction. True or False

Answers

Final answer:

The statement 'For every action there is an equal and opposite reaction' is true as per Newton's third law. This law indicates that any force exerted on a body will lead to an equivalent counter force from that body. These forces apply to separate bodies and do not cancel each other out.

Explanation:

The statement 'For every action there is an equal and opposite reaction' is True. This principle is known as Newton's third law. As per this law, any force enacted upon a body will cause that body to exert an equivalent force in the opposite direction - an 'action-reaction' pair. For instance, if you push a wall, the wall pushes back with an equivalent force. Importantly, these forces act on separate bodies and therefore do not cancel each other out.

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Newton's third law states that for every action, there is an equal and opposite reaction. Understanding this law is crucial in physics for analyzing interactions between objects and systems to predict motion based on forces.

Newton's third law states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert a force of equal magnitude but in the opposite direction.

This law explains the concept of action-reaction pairs, where the forces between two interacting objects are always equal and opposite. An example of this is when you push against a wall, the wall pushes back with an equal force in the opposite direction.

Understanding Newton's third law is essential in physics to analyze the interactions between objects and systems and to predict their motion based on the forces involved.

In Figure 1, starting from the left, what magnetic poles are shown on the two bar magnets?

Answers

The answer is:North South North South.

Hope this helped :)

Answer: North, south, north, south.

Explanation:

In a usual magnetic field diagram, the vectors of the field "come" from the north pole and "enter" in the south pole.

In this case, we can see from where the field comes by the small arrows in the field lines, so in the figure the poles are:

North, South, North, South.

Where in the middle, the south pole of the left magnet is receiving the field that comes from the north pole in the other magnet, and the same for the outer poles.

20.What factor is more important in determining electrical force

21.Why do we need constants like k and G?

Answers

Answer:

20.The first factor is the amount of charge on each object. The greater the charge, the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is

Explanation:

Two physics question need quick help

Answers

Answer:

2.14 kW, I₂ < I₁

Explanation:

The three resistors are in parallel.  The net resistance is:

1/R = 1/R₁ + 1/R₂ + 1/R₃

1/R = 1/20 + 1/8 + 1/500

1/R = 0.177

R = 5.65

The power is:

P = IV

P = (V/R) V

P = V²/R

P = (110)² / 5.65

P = 2140 W

P = 2.14 kW

For two resistors in parallel, the one with the higher resistance has the smaller current.  I₂ < I₁.

How do you increase capacitance in a capacitor?

Answers

If you want to increase the Capacitance of Parallele Plate Capacitor then increase the surface area, reduce the separation between the plate and use a dielectric material in between the plate which have higher dielectric breakdown strength.

Is it possible for one sound wave to cancel another?

Answers

yes it is just like a sonar ping can cancel another ping it works the same way as a normal soundwave

hope this helps you

A thermally isolated system is made up of a hot piece of aluminum and a cold piece of copper; the aluminum and the copper are in thermal contact. The specific heat of aluminum is more than double that of copper. Which object experiences the greater temperature change during the time the system takes to reach thermal equilibrium?

a) It is impossible to tell without knowing the volumes.
b) It is impossible to tell without knowing the masses.
c) The copper experiences a greater temperature change.
d) Neither; both objects experience the same magnitude temperature change.
e) The aluminum experiences a greater temperature change.

Answers

Answer:

b) It is impossible to tell without knowing the masses.

Explanation:

The temperature change of a substance when it receives/gives off a certain amount of heat Q is given by

[tex]\Delta T= \frac{Q}{m C_s}[/tex]

where

Q is the amount of heat

m is the mass of the substance

Cs is the specific heat capacity of the substance

In this case, we have a hot piece of aluminum in contact with a cold piece of copper: the amount of heat given off by the aluminum is equal to the amount of heat absorbed by the copper, so Q is the same for the two substances. However, we see that the temperature change of the two substances depends on two other factors: the mass, m, and the specific heat, Cs. So, since we know only the specific heat of the two substances, but not their mass, we can't tell which object will experience the greater temperature change.

Which physicist first identified the electron as an independent part of the atom?

Answers

Answer: J. J. Thomson

Thomson conducted a series of experiments on cathode ray tubes, which led him to the discovery of electrons.

This is how on April 30th, 1897 Thomson announced the discovery of the electron (although at that time he called it a corpuscle)

This discovery was considered one of the milestones in science of the late nineteenth century, since it allowed to have a new conception of the structure of matter and its interaction with energy.

It should be noted that from this discovery, Thomson proposed a new model of the atom that although erroneous, remained valid for years and served as the basis for new postulates and research on the subject.

What is the anode in an alkaline battery?

Answers

For instance, in an alkaline battery, the anode is typically made of zinc, and manganese dioxide acts as the cathode. And the electrolyte between and inside those electrodes contains ions. ... These free electrons congregate inside the anode (the bottom, flat part of an alkaline battery)

Hope this helps:)

The anode is usually made of zinc, while the cathode is manganese dioxide. The anode is a negative electrode related with oxidation or electron release.

What is alkaline battery?

An alkaline battery  is a main battery that gets its power from the reaction of zinc metal and manganese dioxide.

Alkaline batteries provide a better energy density and a longer shelf life than zinc chloride batteries.

The anode is  a negative electrode related with oxidation or electron release. The anode is the negative pole during discharge and the positive pole during charge in a rechargeable cell.

Hence, the anode is typically made of zinc, while the cathode is manganese dioxide.

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Two charged objects separated by some distance attract each other. If the charges on both objects are doubled with no change in distance between them, what happens to the magnitude of the force between the objects?

a. the force between them quadruples
b. the between them doubles
c. the between them is halved
d. the force between them is quartered
e. the force between them is unchanged

Answers

Answer:

a. the force between them quadruples

Explanation:

The electrostatic force between two charges is given by

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where

k is the Coulomb's constant

q1 and q2 are the two charges

r is the separation between the two charges

In this problem, the charges on both objects are doubled, so

[tex]q_1' = 2q_1\\q_2' = 2q_2[/tex]

While the distance does not change, so the new force will be

[tex]F'= k \frac{(2q_1)(2q_2)}{r^2}=4 (k\frac{q_1 q_2}{r^2})=4 F[/tex]

so, the force will quadruple.

Walking across a carpet is an example of charge being transferred by

Answers

static electricity and friction

How do you do this problem?

Answers

Answer:

C

Explanation:

When A and B come in contact with each other, +12 - 12 = 0 so their changes cancel.

Now C has a charge of +12

When A and C come together they each have an equal share of that 12, so each of them has 6

So the answer is

A       B       C

6        0       6

which is C

The amplitude of a system moving in simple harmonic motion is doubled. Determine by what factor the following change.
(a) the total energy
(b) the maximum speed
(c) the maximum acceleration
(d) the period

Answers

(a) The total energy increases by a factor 4

The total energy of a simple harmonic system is given by:

[tex]E=\frac{1}{2}kA^2[/tex]

where

k is the spring constant

A is the amplitude of the motion

In this part of the problem, the amplitude is doubled:

A' = 2A

So the new total energy is

[tex]E=\frac{1}{2}k(A')^2=\frac{1}{2}k(2A)^2=4(\frac{1}{2}kA^2)=4E[/tex]

So, the energy quadruples.

(b) The maximum speed increases by a factor 2

The maximum speed in a simple harmonic motion is given by

[tex]v=\omega A[/tex]

where

[tex]\omega=\sqrt{\frac{k}{m}}[/tex] is the angular frequency, with k being the spring constant and m the mass

A is the amplitude

In this part of the problem, k and m do not change, so the angular frequency does not change. Instead, the amplitude is doubled:

A' = 2A

So the new maximum speed is

[tex]v'=\omega (A')=\omega (2A)=2 (\omega A)=2 v[/tex]

so, the maximum speed doubles.

(c) The maximum acceleration increases by a factor 2

The maximum acceleration in a simple harmonic motion is given by

[tex]a=\omega^2 A[/tex]

where

[tex]\omega=\sqrt{\frac{k}{m}}[/tex] is the angular frequency, with k being the spring constant and m the mass

A is the amplitude

In this part of the problem, k and m do not change, so the angular frequency does not change. Instead, the amplitude is doubled:

A' = 2A

So the new maximum acceleration is

[tex]a'=\omega^2 (A')=\omega^2 (2A)=2 (\omega^2 A)=2 a[/tex]

so, the maximum acceleration doubles.

(d) The period does not change

The period in a simple harmonic motion is given by

[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]

where m is the mass and k is the spring constant.

In this problem, the amplitude is doubled:

A' = 2A

However, we notice that the period does not depend on the amplitude, and since both m and k do not change, then the period will remain constant.

Final answer:

Doubling the amplitude in simple harmonic motion quadruples the total energy, doubles both the maximum speed and maximum acceleration, while the period remains unchanged. If the spring constant is doubled, the mass must be doubled to keep the same frequency.

Explanation:

Impact of Doubling the Amplitude on Simple Harmonic Motion

When the amplitude A of a system undergoing simple harmonic motion (SHM) is doubled, the following changes occur:

(a) Total energy of the system, which includes both kinetic and potential energy, is proportional to the square of the amplitude. Therefore, doubling the amplitude results in quadrupling the total energy (a factor of 4).

(b) Maximum speed (Vmax) of the system in SHM is directly proportional to the amplitude. As a result, doubling the amplitude doubles the maximum speed (a factor of 2).

(c) Maximum acceleration is also directly proportional to the amplitude. By doubling the amplitude, the maximum acceleration is also doubled (a factor of 2).

(d) The period of oscillation (T) is independent of the amplitude and will remain unchanged.

If the spring constant (k) of a simple harmonic oscillator is doubled, the mass (m) of the system needs to be doubled as well, in order to maintain the same frequency of motion, based on the formula for the frequency f = 1/(2π√(m/k)).

What happens when a particle of matter meets its corresponding antiparticle of antimatter?
A) They can form a complete atom. B) The combined mass of the two particles is completely transformed into energy (photons). C) They fuse to make a heavier particle. D) The question makes no sense, since antimatter does not really exist.

Answers

The correct answer is B) the combined mass of two particles is completely transformed into energy (photons).

How do you find the approximate frequency for this graph?

Answers

Answer:

Explanation:

Good thing it says approximately. Your best guess is just a guess. It takes 1 hz (or 1 sine wave) about 0.62 seconds before it begins to repeat itself.

The frequency is  # of cycles / time = 1 hz / 0.62 = 1.61 hz/second.

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