Two parallel rods are each 0.69 m in length. They are attached at their centers to a spring that is initially neither stretched nor compressed. The spring has a spring constant of 130 N/m. When 1200 A of current is in each rod in the same direction, the spring is observed to be compressed by 3.0 cm. Treat the rods as long, straight wires and find the separation between them when the current is present.

Answers

Answer 1

Answer:

Explanation:

Let the separation required be d .

Force between rod = 10⁻⁷ x  2 I₁ I₂ L / d

where I₁ and I₂ are current in them , d is distance of separation and L is length of wire .

Force between rod = 10⁻⁷ x  2 x 1200 x  1200 x .69  / d

= .1987 /d

Restoring Force by spring = k x where k is force constant and x is compression .

= 130 x .03

= 3.9 N

For balancing

Restoring Force by spring = Force between rod

.1987 /d = 3.9

d = .1987 /3.9

= .0509 m

= 5.09 cm .


Related Questions


An object
moves through space with balanced forces acting on it. Which statement
best describes the speed and direction of the object as long as the forces acting on it
remain balanced?

Pls answer number 4 and an explanation

Answers

Answer: G the speed and direction of the object will remain constant.

Definition of waves ​

Answers

Answer:

A wave can be described as a disturbance that travels through a medium from one location to another location.

Explanation:

If the height is 10m, what is the potential energy? Asuming that the mass is 10

Answers

[tex]\huge{\textit{\sf{{\color{m}{Answer}}{\color{b}{࿐}}}}}[/tex]

we know,

[tex] \boxed{potential \: energy = mgh}[/tex]

So,

[tex]\longmapsto10 \times 9.8 \times 10[/tex]

[tex]\longmapsto980 \: joules[/tex]

Which of these devices is a type of aerobic exercise machine?

Answers

Answer:

Aerobic exercise is an important component of a healthy lifestyle. Find out more about aerobic equipment that can help keep you fit.

Aerobic equipment simulates the movements of aerobic exercises such as walking, jogging, rowing, skiing, hiking, biking, and climbing. These activities rhythmically and continuously move your large muscles — the key to getting your heart beating fast enough and long enough for aerobic conditioning.

how much thermal energy is created when a 3000 kg suv brakes to a stop from 20 m/s on a level road?
a. 1,200,000 J
b. 600,000 J
c. 60,000 J
d. 30,000 J
e. 90,000,000 J ​

Answers

Answer:

b. 600,000 J

Explanation:

Applying the law of conservation of energy,

The thermal energy created = Kinetic energy of the suv.

Q' = 1/2(mv²)............... Equation 1

Where Q' = Thermal energy, m = mass of the suv, v = velocity of the suv.

From the question,

Given: m = 3000 kg, v = 20 m/s

Substitute these values into equation 1

Q' = 1/2(3000×20²)

Q' = 600000 J

Hence the right option is b. 600,000 J

Plz help The momentum of a baseball changes dramatically when struck by a bat.Momentum of the ball is not conserved. The best explanation for this is that

Answers

Answer:

The answer is C the ball is not in a closed system and experience an impulse.

Explanation:

If I have a sphere rolling on a table with an initial velocity and then it falls off the edge of the table, from this point on it is taken as if my initial velocity were zero, or it starts from the initial velocity that I had before in the table?

Answers

Answer:

The initial velocity after leaving the table is the same as it was before leaving the table (nothing is present to produce discontinuties in the velocity).

Before leaving the table the vertical velocity was zero and is zero when it leaves the table.

The horizontal velocity is constant with no forces present to change the velocity.

A 6.00 kg object at rest is suddenly broken apart into two fragments by an explosion. The fragment with mass 3.50 kg is moving 24.0m/s to the left. The other fragment is moving _______m/s to the right. Group of answer choices

Answers

Answer: 33.6 m/s

Explanation:

Given

The initial mass of the object is [tex]6\ kg[/tex]

It breaks into two fragments of 3.5 and 2.5 kg

3.5 kg part moves at 24 m/s towards left

Suppose 2.5 kg part moves with a speed of v towards the right

As the center of mass is at rest before the collision, it continues to remain at rest after the collision.

[tex]\therefore 6\times 0=3.5\times 24-2.5\times v\\\Rightarrow 3.5\times 24=2.5\times v\\\\\Rightarrow v=33.6\ m/s[/tex]

Therefore, the velocity of 2.5 kg mass is 33.6 m/s towards right.

A uniform rod of length 80cm rotated in the xy plane about a frictionless pin passing through one end (as shown in figure). If the angular
velocity of the rod is 4rad/s, find the linear velocity (in m/s) of its mid-point C
Rod
Pin
С
Select one:
O a. 0.5
O b. 1.6
O c. 1.3
O d. 0.8​

Answers

Answer:

Linear velocity (in m/s) = 1.6 m/s

Explanation:

Given:

Length of rotational plane = 80 cm

Angular  velocity of the rod = 4rad/s

Find:

Linear velocity (in m/s)

Computation:

Radius from mid point C = Length of rotational plane / 2

Radius from mid point C = 80 / 2

Radius from mid point C = 40 cm

Radius from mid point C = 0.4 m

Linear velocity (in m/s) = Angular  velocity of the rod x Radius from mid point C

Linear velocity (in m/s) = 0.4 x 4

Linear velocity (in m/s) = 1.6 m/s

which choice displays the effects of quantum mechanics? check all that apply

atoms

subatomic particles

particles that are 10^-9m

microtechnology systems

protons

neutrons

particles that are 10^-3m

Answers

Answer:

A,B,C,D,F,G

Explanation:

Edge 2021

The atoms, subatomic particles, particles that are 10^-9m, microtechnology systems, neutrons and particles that are 10^-3m  will displays the effects of quantum mechanics.

What is Quantum Mechanics?​

Quantum Mechanics is the branch of mechanics deals with the mathematical description of the motion and interaction of subatomic particles, incorporating the concepts of quantization of energy, wave–particle duality, the uncertainty principle, and the correspondence principle is Quantum Mechanics.

It is theory says at subatomic level, energy exists in discrete levels as "quanta" and particles behave as waves.

A Subatomic particles are the particle that are present inside an atom. These particles are electrons, protons, and neutrons.

Thus, atoms, subatomic particles, particles that are 10^-9m, microtechnology systems, neutrons and particles that are 10^-3m  will displays the effects of quantum mechanics.

Learn more about Quantum Mechanics;

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Phobos's Orbit. Phobos orbits Mars at a distance of 9,380 km from the center of the planet and has a period of 0.3189 days. Assume that Phobos's orbit is circular. Calculate the mass of Mars. Express your answer in units of kg. (Hint: Use the circular orbit velocity formula ; remember to use units of meters, kilograms, and seconds.) Please round the answer to four significant digits. m

Answers

Answer:

Explanation:

The relation between time period of moon in the orbit around a planet can be given by the following relation .

T² = 4 π² R³ / GM

G is gravitational constant , M is mass of the planet , R is radius of the orbit and T is time period of the moon .

Substituting the values in the equation

(.3189 x 24 x 60 x 60 s)²  = 4 x 3.14² x ( 9380 x 10³)³ / (6.67 x 10⁻¹¹ x M)

759.167 x 10⁶ = 8.25 x 10²⁰ x 39.43 / (6.67 x 10⁻¹¹ x M )

M = .06424  x 10²⁵

= 6.4 x 10²³ kg .

Question 3 of 5 What happens to the particles in a substance as it melts? O A. The particles slow down and become fixed in place. B. The particles move more quickly but stay fixed in place. O C. The particles slow down and move closer together, but they can still move around. O D. The particles move more quickly and begin to move from place to place. SUBMIT​

Answers

Answer:

D. The particles move more quickly and begin to move from place to place.

Explanation:

a 4 kg block is moving at 12 m/s on a horizontal frictionless surface. a constant force is applied such that the block slows with an acceleration of 3 m/s^2. how much work must this force do to stop the block?
a. -576 J
b. -360 J
c. -288 J
d. 360 J
e. 576 J​

Answers

Answer:

c. -288 J

Explanation:

Given;

mass of the block, m = 4 kg

velocity of the block, v = 12 m/s

deceleration of the block, a = 3 m/s²

Apply work-energy theorem;

work done in stopping the block = kinetic energy of the block

W = ¹/₂mv²

where;

W is the magnitude of the work done by the force

W = ¹/₂ x 4 x 12²

W = 288 J

Since the work done by the force is in opposite direction, then the value of the work done by the force is -288 J

A sample contains radioactive atoms of two types, A and B. Initially there are five times as many A atoms as there are B atoms. Two hours later, the numbers of the two atoms are equal. The half-life of A is 0.77 hours. What is the half-life of B in hours?

Answers

Answer:

Explanation:

Initially no of atoms of A = N₀(A)

Initially no of atoms of B = N₀(B)

5 X N₀(A)  = N₀(B)

N = N₀ [tex]e^{-\lambda t}[/tex]

N is no of atoms after time t , λ is decay constant and t is time .

For A

N(A) = N(A)₀ [tex]e^{-\lambda_1 t}[/tex]

For B

N(B) = N(B)₀ [tex]e^{-\lambda_2 t}[/tex]

N(A) = N(B) , for t = 2 h

N(A)₀ [tex]e^{-\lambda_1 t}[/tex] = N(B)₀ [tex]e^{-\lambda_2 t}[/tex]

N(A)₀ [tex]e^{-\lambda_1 t}[/tex] = 5 x N₀(A)  [tex]e^{-\lambda_2 t}[/tex]

[tex]e^{-\lambda_1 t}[/tex] = 5  [tex]e^{-\lambda_2 t}[/tex]

[tex]e^{\lambda_2 t}[/tex] = 5  [tex]e^{\lambda_1 t}[/tex]

half life = .693 / λ

For A

.77 =  .693 / λ₁

λ₁ = .9 h⁻¹

[tex]e^{\lambda_2 t}[/tex] = 5  [tex]e^{\lambda_1 t}[/tex]

Putting t = 2 h , λ₁ = .9 h⁻¹

[tex]e^{\lambda_2\times 2}[/tex] = 5  [tex]e^{.9\times 2}[/tex]

[tex]e^{\lambda_2\times 2}[/tex] = 30.25

2 x λ₂ = 3.41

λ₂ = 1.7047

Half life of B = .693 / 1.7047

= .4065 hours .

= .41 hours .

An 80 kg astronaut has gone outside his space capsule to do some repair work. Unfortunately, he forgot to lock his safety tether in place, and he has drifted 5.0 m away from the capsule. Fortunately, he has a 1000 W portable laser with fresh batteries that will operate it for 1.0 h. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen. His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a 10-h supply of oxygen.

Required:
How long will it take him to reach safety?

Answers

Answer:

t = 3.924 s

Explanation:

First, we will calculate the amount of work required to get the astronaut back to the capsule:

[tex]W = Fd\\[/tex]

where,

W = work required = ?

F = Force = Weight = mg = (80 kg)(9.81\ m/s²) = 784.8 N

d = distance = 5 m

Therefore,

[tex]W = (784.8\ N)(5\ m)\\W = 3924 J[/tex]

Now the time can be calculated as:

[tex]Power = \frac{W}{t}\\t = \frac{W}{Power}\\\\t = \frac{3924\ J}{1000\ W}\\\\[/tex]

t = 3.924 s

If 03.4 kg of water at 69°C is changed into steam at 100°C, how will the energy be used? specific heat capacity of water is 4200J/kg C and latent heat is 2,260 000J/Kg.

A. 7864513 J
B. 8126680 J
C. 329758 J
D. 742976 J

With explanation please

Answers

Answer:

The answer is B.

Explanation:

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A gondola can carry 20 skiers, with a total mass of up to 2250 kg. The gondola ascends at a constant speed from the base of a mountain, at 2150 m, to the summit at 3345 m. (a) How much work does the motor do in moving a full gondola up the mountain

Answers

Answer:

[tex]$2.63\times 10^{7} \ J$[/tex]

Explanation:

Given :

Total mass that a gondola can carry, m = 2250 kg

Displacement, s = 3345 - 2150

                           = 1195 m

Gravitational force, F = mg

                                  = 2250 x 9.8

                                 = 22050 N

Therefore the work done by the motor in moving the full gondola up the mountain,

W = F x s

    = 22050 x 1195

    = [tex]$2.63\times 10^{7}$[/tex] J

If the frequency of a wave is doubled, what happens to that waves energy

Answers

Answer:

If the frequency of a wave is doubled, what happens to its wavelength? If the frequency is doubled, the wavelength is only half as long. 3. ... As the frequency slows down, the wavelength increases.

Explanation:

26. Acceleration Tecle, with a mass of 65.0 kg, is
standing on an ice-skating rink. His friend
applies a force of 9.0 N to him. What is Tecle's
resulting acceleration?

Answers

Force = mass × acceleration

9 = 65 x acceleration

acceleration= 9/65 = 0.318 m/s2

Acceleration Tecle, with a mass of 65.0 kg, is standing on an ice-skating rink. His friend applies a force of 9.0 N to him.  Tecle's resulting acceleration is  0.318 m/s²

What is acceleration?

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

Force = mass × acceleration

9 = 65 x acceleration

acceleration= 9/65 = 0.318 m/s²

Acceleration Tecle, with a mass of 65.0 kg, is standing on an ice-skating rink. His friend applies a force of 9.0 N to him.  Tecle's resulting acceleration is  0.318 m/s²

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Aluminum has an alpha value of 25 x 10^-6 1/degrees C. What is the change in
length of a 4850 cm wire at 2 degrees C when the temp increase to 55 degrees
C?

Answers

Answer:

6.4 cm.

Explanation:

From the question given above, the following data were obtained:

Coefficient of linear expansion (α) = 25×10¯⁶ / °C

Original length (L) = 4850 cm

Initial temperature (T₁) = 2 °C

Final temperature (T₂) = 55 °C

Change in length (ΔL) =?

The change in the length of the wire can be obtained as follow:

α = ΔL / L(T₂ – T₁)

25×10¯⁶ = ΔL / 4850(55 – 2)

25×10¯⁶ = ΔL / 4850 × 53

25×10¯⁶ = ΔL / 257050

Cross multiply

ΔL = 25×10¯⁶ × 257050

ΔL = 6.4 cm

Therefore, the change in the length of the wire is 6.4 cm

If you cut a permanent magnet into four pieces,
you will have what?

A) four temporary magnets
B) four smaller permanent magnets
C) two north poles and two south poles
D)four objects that are no longer magnets

Answers

you would have C) two north poles and two south poles

Select the correct answer from each drop-down menu.
After World War II, political leaders from various countries discussed ways to strengthen individual-as well as
economies. They began promoting
to boost production and exports,

Answers

Answer: I think it’s Global for the 1st one

And free trade for the 2nd one

Explanation:

The correct answer is: "After World War II, political leaders from various countries discussed ways to strengthen individual economies." They began promoting economic policies to boost production and exports.

What happened after World War II?

After World War II, many countries were left with weakened economies and infrastructure, and there was a need for economic recovery and growth. To achieve this, political leaders from different countries came together to discuss ways to strengthen their individual economies and also promote international economic cooperation. One of the ways they did this was by promoting economic policies that aimed to boost production and exports. This involved policies that encouraged businesses to increase their output and create more jobs, as well as policies that made it easier for countries to trade with each other.

Hence, after World War II, political leaders from various countries discussed ways to strengthen their individual economies. They began promoting economic policies to boost production and exports.

Learn more about World War II's aftermath here.

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In an electric resistance of 20 ohms, if the current intensity passing through it
is doubled, its value becomes ........ ohms.
b. 20
d. 40
a. 10
c. 30​

Answers

Answer:

a.  10 ohms.

Explanation:

Given;

first electrical resistance, r₁ = 20 ohms

let the first current through the circuit = I₁

let the second current through the circuit, I₂ = 2I₁ (since it is doubled)

then, the new value of the resistance after doubling the current = r₂

the current intensity is given as;

[tex]\frac{dI}{dt} = I = \frac{v}{r} \\\\I_1r_1 = I_2r_2\\\\r_2 = \frac{I_1r_1}{I_2} \\\\r_2 = \frac{I_1 \times 20}{2I_1 } \\\\r_2 = 10 \ ohms[/tex]

Therefore, the new value of the resistance is 10 ohms.

Phase portraits (or phase diagrams) provide a powerful tool to visualize the dynamics of ODE systems.

a. True
b. False

Answers

the answer is True. hope i helped

The bands on Jupiter are ultimately caused by...


the Coriolis effect.


its magnetic fields.


precession.


the Great Red Spot.

Answers

Precision because it’s the answer

You have two electrical devices plugged into the same socket in parallel and draws 120 V. The first device has a resistance of 20 Ω the other device has a resistance of 10 Ω.
What is the total resistance?

Answers

The devices don't "draw" 120v. The 120v comes to your house from the power company. They decide it should be 120v and that's what they send you. It's hypothetically technically possible for you to change that, but if you try it, you'll definitely burn the house down.

The total resistance of those two devices in parallel is 6 and 2/3 ohms. That doesn't depend on what they're plugged into. It would still be 6 and 2/3 ohms if they were connected in parallel, wrapped in tissue, sealed in a jar of chicken soup and stored in a box on a high shelf.

But since they ARE plugged into 120v, they draw 18 Amperes from the socket, and they turn all of that electrical energy into 2160 watts of heat. That's about the same as a good size toaster oven, and you have to figure out a way to get rid of all that heat before you burn the house down.

You drop a 10 kg bowling ball off a 2 story building, what is the force generated by
the bowling ball when it hits the ground

Answers

Answer:i

Explanation:

Does the law of attraction actually have a basis in physics?

Answers

Answer:

Scientific theories are cited by proponents of the Law of Attraction as evidence in its favor. It, on the other hand, has no theoretical basis. A variety of scientists have questioned the promoters' abuse of scientific principles.

a 4 kg block is moving at 12 m/s on a horizontal frictionless surface. a constant force is applied such that the block slows with an acceleration of 3 m/s^2. how much work must this force do to stop the block?
a. -576 J
b. -360 J
c. -288 J
d. 360 J
e. 576 J
walk me through this please. NO LINKS. ​

Answers

Answer:

Is there a picture?

Explanation:

The instrument measuring the temperature change between inspired cool air and expired warm air is called?​

Answers

Answer:

It's called a Spirometer

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