a conducting sphere with an interior cavity has been given a charge of 2.0 nc. what is the charge on the inner surface of the sphere?

(a) The tension T2 must be greater than the tension T1 because it is pointing downwards, supporting both masses.

(b) The acceleration of the system is 9.74 m/s².

(c) The tension in T₁ is -0.78 N and T₂ is 1.02 N.

There are two tensions in the cord and their magnitude is obtained from the following equation.

T₁ = m₁a - m₁g

T₁ = m₁ (a - g )

T₂ = m₂g - m₂a

T₂ = m₂ (g - a )

The resultant tension in the cord is determined as;

( T₂ - T₁)R = Iα

where;

( T₂ - T₁)R = I(aR)

where;

T₂ - T₁ = Ia

m₂g - m₂a - ( m₁a - m₁g ) = Ia

m₂g - m₂a - m₁a + m₁g = Ia

- m₂a - m₁a + m₂g + m₁g = Ia

a(m₂ + m₁) + Ia = m₂g + m₁g

a (m₂ + m₁ + I ) = m₂g + m₁g

a = ( m₂g + m₁g ) / ( m₂ + m₁ + I )

I = ¹/₂MR²

I = ¹/₂ x 8.6 x 0.2²

I = 0.172 kgm²

a = ( 17 x 9.8  + 13 x 9.8 ) / ( 17 + 13 + 0.172 )

a = 9.74 m/s²

The tension in the cords is calculated as;

T₁ = m₁ (a - g )

T₁ = 13 (9.74 - 9.8 )

T₁ = -0.78 N

T₂ = 17 (9.8 - 9.74 )

T₂ = 1.02 N

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A 180 kg hippo is riding a bicycle at a speed of 6. 0 m/s. 0.135 sec will it take to stop the bicycle

The kinetic energy of an object can be calculated using the equation:

KE = (1/2) × m × v^2

where m is the mass of the object, v is its velocity.

The work done by the brakes is given by the force of the brakes multiplied by the distance over which the brakes are applied. This can be written as:

W = F × d

As the force of the brakes is equal to the force that opposes the motion of the object and the force is constant, then,

F × d = KE

W = (1/2) × m × v^2

d = (2 × KE) / F

where d is the distance over which the brakes are applied, F is the force of the brakes and m, v are the mass and velocity of the object

Now we can substitute the known values into this equation:

d = (2 × (1/2) × 180 kg × (6 m/s)^2) / 1600 N = 0.81 m

Now we can find the time it takes to stop the bicycle:

t = d / v = 0.81 m / 6 m/s = 0.135 s

So it will take the hippo 0.135 seconds to stop the bicycle using the brakes.

The energy that an object has when it moves is called kinetic energy. It is equivalent to the amount of work required to propel an object from rest to its current velocity. The following equation can be used to determine an object's kinetic energy:

where v is the object's speed and m is its mass. The joule (J) is the unit of kinetic energy.

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The energy to run the mechanical clock (or grandfather clock) come from the kinetic energy from a human hand.

option D.

Mechanical energy is a type of energy that a body or object possess  due to its motion or height above the ground.

There are two type of mechanical energy and they include the following;

The kinetic energy of an object is obtained when the speed of the object increases or when the object is set in motion.

To run the mechanical clock or grandfather clock, the human hand is used pedal the clock to supply the energy needed for the clock to run.

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The density of seawater at a depth where the pressure is 680 atm is 2576 kg/m3. Bulk modulus is defined to be measure of its resistance to compression.

The bulk modulus of a substance is a measure of its resistance to compression. It is defined as the ratio of the change in pressure to the resulting fractional change in volume. The density of a substance can be affected by changes in pressure. The equation to calculate density at a certain pressure is:

density = density surface x (1 + (bulk modulus x pressure) / (density surface x gravity x height surface))

where density surface is the density of the substance at the surface, bulk modulus is the bulk modulus of the substance, pressure is the pressure at a given depth, gravity is the acceleration due to gravity, and height surface is the height of the surface of the substance.

In the case of seawater:

density = 1030 kg/m3 x (1 + (2.3*10^9 N/m2 x 680 atm) / (1030 kg/m3 x 9.8 m/s^2 x 0))

density = 1030 kg/m3 x (1 + 1.502)

density = 1030 kg/m3 x 2.502

density ≈ 2576 kg/m3

So the density of seawater at a depth where the pressure is 680 atm is approximately 2576 kg/m3.

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Answer: I am not sure about this but here you go

he overall displacement of the particle, δx, is equal to the final position of the particle minus its initial position. Since the initial and final velocities of the particle are given, the displacement can be calculated using the equation δx = vft - vit, where vf is the final velocity, vi is the initial velocity, and t is the time interval. In this case, δx = 18.0 m/s11.5 s - 29.0 m/s11.5 s = -131 m. Therefore, the overall displacement of the particle is -131 m.

(a) Energy per photon is [tex]3.8 x 10^{-19 }J[/tex] and Number of photons per second is [tex]2.63 x 10^{20}[/tex] photons/s.

A 100-W yellow lightbulb emitting at 550 nm has a wavelength of [tex]550 x 10^{-9 }[/tex]meters. The energy per photon can be calculated using the relationship:

Energy per photon = h * c / wavelength

where h is Planck's constant ([tex]6.62607015 x 10^{-34} Js[/tex]) and c is the speed of light (299792458 m/s).

Substitute the values:

Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (550 x 10^{-9} m)[/tex]

Energy per photon = [tex]3.8 x 10^{-19 }J[/tex]

To calculate the number of photons emitted per second, we can use the relationship:

Number of photons per second = Power / Energy per photon

By substituting the values:

Number of photons per second = [tex]100 W / (3.8 x 10^{-19} J)[/tex]

Number of photons per second = [tex]2.63 x 10^{20}[/tex] photons/s

(b) Energy per photon is [tex]2.0 x 10^{-25 }J[/tex] and Number of photons per second is [tex]5.0 x 10^{25}[/tex] photons/s

A 1-kW microwave source emitting at a wavelength of 1 cm has a wavelength of 1 x 10^-2 meters. The energy per photon can be calculated using the same relationship as before:

Energy per photon = h * c / wavelength

Energy per photon = [tex](6.62607015 x 10^{-34} Js) * (299792458 m/s) / (1 x 10^{-2} m)[/tex]

Energy per photon = [tex]2.0 x 10^{-25 }J[/tex]

To calculate the number of photons emitted per second, we can use the same relationship as before:

Number of photons per second = Power / Energy per photon

Number of photons per second = [tex]1000 W / (2.0 x 10^{-25} J)[/tex]

Number of photons per second = [tex]5.0 x 10^{25}[/tex] photons/s.

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There's no harm done because this is really the low current there is and not many electrons transferred between you and the doorknob.

Voltage just says what is the tendency for charges to move. But it's actually the current that does harm to the body, which is the number of charges per second that move.

Electric field is the voltage or the potential difference between two points divided by the distance between them. We can solve this for V by multiplying both sides by d. So V is electric field times distance. We have electric field of about 3 times 10 to the six volts per meter when air starts to have dielectric breakdown and starts conducting and you have a spark. That's times by the separation between your finger and the doorknob which is one millimeter, which is one times 10 to the minus three meters. So the voltage must be about 3,000 volts.And in this case, there is not very many charges, and so no harm done.

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The other end of the pool is approximately 24.2 meters away.

Pool is a game played on a table with six pockets, in which players use a cue stick to hit balls into the pockets. The game is enjoyed by people of all ages, and is especially popular in the United States and Europe.

The other end of the pool is approximately 24.2 meters away. This can be determined using the equation
speed = distance/time
In this case, the speed of the wave is 0.643 m/s, the time is 36.7 s, and the distance is unknown. We can rearrange the equation to solve for the distance:
distance = speed * time
Therefore, the distance is 0.643 m/s * 36.7 s = 24.2 m. This means that the other end of the pool is approximately 24.2 meters away.

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Answer:

-compressions

-rarefactions

Explanation: research

A michelson interferometer receives beams of monochromatic light. The central spot in the interferometer pattern changes from brilliant to dark and back to bright 1608 times as a result of the movable mirror being moved by 0.301 mm. then the light's wavelength is 3.74.

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

This length is typically set in meters in wireless systems (m) Colors that are monochromatic are all variations of a single hue, including tints, hues, and tones. Lighter and darker shades of the primary color or hue will make up a monochromatic color scheme.

d=mλ / 2

so λ = 2d/m

= {2* 0.301 *10^(-3)}/1608

λ = 0.000602/1608

λ = 3.74

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Most geologist think the movement of Earth’s plates are caused by: convection currents in the mantle. Option C- is the correct answer.

This occurs as a result of differential heating. Lighter (less dense), warm material rises while heavier (more dense) cool material sinks. It is this movement that creates circulation patterns known as convection currents in the atmosphere, in water, and in the mantle of Earth.

These convection currents are in three forms namely:

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The elastic potential energy of the spring is  375 J. Option C

We have to note that the elastic potential energy has to do with the energy that has been stored in the elastic material and it can be released to do work once the spring has been stretched.

It should be noted that we would have that;

The elastic potential energy which we have shown as E is obtained from;

E = 1/2Fx

F = force applied

x = The stretching of the spring

Then

E = 0.5 * 150 * 5

E = 375 J

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Hence, The net electric field flux is 2. 26* 10^ 5 N m2/C.

The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field. It also refers to the physical field of a charged particle system. The electric field can be thought of as an electric property associated with any point in space where a charge exists in any form. The electric force per unit charge is another way to describe an electric field. The formula for the electric field is E = F /Q. Volts per metre (V/m) is the SI unit for the electric field. This unit is the same as Newton's per coulomb. These are derived units in which Newton is a unit of force and Coulomb is a unit of charge.

Here,

Charge, Q=2.00 uC

Electric field E = 100 N/C i

Radius R = 10.0 cm

We need to find the flux. It can be calculate using Gauss's law

The flux of the net electric field,

flux=Q/E0

=2*10^-6/8.85*10^-12

=2.26*10^5 Nm²/C

Hence, The flux of the net electric field is 2. 26 × 10^5 N · m^2/C.

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"Rod cells in the eye detect light and dark." completes the sentence.

Light is defined as electromagnetic radiation visible to the human eye with wavelengths ranging from 380 to 750 nm. Light is a type of electromagnetic radiation that enables or makes objects visible to the human eye. It's also known as visible radiation to the eye. Light contains photons, which are tiny packets of energy. Lux (lx) (lx) The unit of illumination is the lux, which is equal to one lumen per square metre. The metric equivalent of footcandles is one lux equals 0.0929 footcandles.

Here,

"In the eye, rod cells detect light and dark." completes the sentence.

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A bar magnet will pull unmagnetized iron toward it. A current loop is comparable to an atom. When placed in a bar magnet's magnetic field, a piece of iron, which has magnetic properties, aligns into two poles.

It is the north pole if the north pole reports the side in front of it, and vice versa if the south pole reports the south pole. When placed in a bar magnet's magnetic field, a piece of iron, which has magnetic properties, aligns into two poles.

An atom possesses charges that are in motion, which results in current. The rotational orbits of the atoms allow them to function as an analogous current loop. But despite the absence of current, iron is drawn to magnetic.

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Eduardo rode his bicycle 24 meters to his friends house and it took him 2 minutes to arrive at his friends house, then Eduardo's average speed was 727 meters/hour.

Average speed is calculated by dividing total distance traveled by the total amount of time it took to travel that distance.

Given distance - 24m and time is 2 minutes

convert minutes to hours

Now, Average speed = distance traveled / time traveled = 24 meters / (2 minutes / 60 minutes) = 24 meters/ 0.033 hour

Hence, Average speed = 24 / 0.033 = 727 meters/hour

So, Eduardo's average speed was 727 meters/hour.

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Answer:55

Explanation: hope thi heps!

The weight of an 8200 N spacecraft when it is 43200 km above earth's surface is 136.5 N

The formula for the gravitational force between two objects is:

F = GMm/r²

Where:

G = gravitational constant

M, m = mass of the objects

r = distance between objects.

Notice that the gravitational force is inversely proportional to the square of the distance.

Hence,

F1 : F2 = (r2)² : (r1)²

In this case:

r1 = 6400

r2 = 6400 + 43200 = 49600

The gravitational force between earth and the spacecraft represents the weight of the satellite. Hence,

w1 : w2 = (r2)² : (r1)²

8200 : w2 = 49600² : 6400²

w2 = 136.5 N

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Answer:

Explanation:

Cedric is correct because he used the inverse of subtraction and added 4.5

We observe the Andromeda galaxy as it was 2.5 million years ago since it is around 2.5 million light years away.

We observe the Andromeda galaxy as it was 2.5 million years ago since it is around 2.5 million light years away. The Andromeda galaxy's light was first visible 2.5 million years ago. The Andromeda galaxy may have gotten a few thousand light years nearer to us during those 2.5 million years. While the diameter of the Andromeda galaxy itself is roughly 200 thousand light years, the uncertainty in the 2.5 million light year distance estimate is on the order of 100 thousand light years (simply because estimating the distance to other galaxies is difficult).

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The value of g inside the earth at half of its radius is 4.9 m/s², if the value of g at the surface of the earth is 9.8 m/s².

Let the uniform density of the earth, = ρ

Radius of the earth, = R

We know the relation between the uniform density(ρ) of the earth and the acceleration due to gravity of the earth is as follows:

g = Gρ(4/3)πR

Let the value of acceleration due to gravity at (r = R/2) is g₁.

Then g₁ = Gρ(4/3)π(R/2)

g₁ = (1/2)Gρ(4/3)π(R)

g₁ = (1/2) × g

g₁ = (1/2) × 9.81 = 4.9 m/s²

Hence the correct option is 1.

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For myself and my loved ones, I would wish for good health, happiness, and success so that even if my wish did not come true, I would still have the things that matter most in life.

To interact with individuals from all over the world and fully appreciate all cultures, I would first wish for the capacity to comprehend and speak all languages with ease. This would significantly improve my capacity for international travel and communication. My second desire is for unrestricted riches and resources so that I might support charity causes, assist people in need, and have a constructive effect on society. To enjoy my money and resources and carry on having a beneficial influence on the world, a long and healthy life is my third and last wish.

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The potential energy of the system at point A= 6 joules.

We know that there is no loss of energy when a conservative force acts on it.  The total energy is constant it is only transferred to another form which can be easily calculated.

For a conservative force

Total energy = gravitational potential energy + kinetic energy

Now calculating total energy at point B

Total energy =  21  + 0 (velocity is 0 so kinetic energy is zero)

Total energy =  21 joules

Total energy at point A

21 = gpe  +  15

gravitational potential energy = 6 joules

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The pressure at the bottom of the water layer is 1.22 x 10⁵ Pa

The fluid's weight divided by the surface area gives an estimate of the pressure that the fluid exerts on its surroundings. The density of the fluid can be calculated by multiplying its mass by the acceleration caused by gravity. In this case, we are given that:

Depth of oil (h oil) = 80 cm = 0.8 m

Depth of water (h water) = 140 cm = 1.4 m

Density of water (ρ water) = 1000 kg/m³

Density of oil (ρ oil) = 881 kg/m³

The Standard Atmospheric Pressure (P) = 101325 Pa = 1.01 x 10⁵ Pa

To calculate the pressure due to the weight of liquid, we can use this following formula:

P= ρ g h

Where:

P = pressure

ρ = density of liquid

g = acceleration due to gravity

H = depth of the liquid

To calculate the absolute pressure at the bottom of the water layer, we use:

P(absolute)= P x [ρ(water) × h(water)× g] + [ ρ(oil) × h(oil)× g]

P(absolute) = 1.01 x10⁵ + (1000 x 1.4 x 9.8) + (881 x 0.8 x 9.8)

P(absolute) = 1.01 x10⁵ + 0.21 x 10⁵

P(absolute) = 1.22 x 10⁵ Pa

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A hypothetical planet has seven times the mass of Earth and twice the radius of Earth.

what is  hypothetical planet?

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The boundary condition at a perfectly insulated surface (at x = 0, for example) can be expressed as [latex] -k frac{partial T(0, t)}{partial x}=0 [/latex]

This node is the default boundary condition for all Heat Transfer interfaces. This boundary condition means that there is no heat flux across the boundary:

and hence specifies where the domain is well insulated. Intuitively, this equation says that the temperature gradient across the boundary is zero. For this to be true, the temperature on one side of the boundary must equal the temperature on the other side. Because there is no temperature difference across the boundary, heat cannot transfer across it. As the default boundary condition, it can be applied only on external boundaries; but when added manually, it can be applied also on interior boundaries.

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The buoyant force exerted on the 1 kg rock by the water is 2 N.

The buoyant force is the force exerted by a fluid (in this case, water) on an object that is submerged in it. To find the buoyant force, we need to subtract the weight of the object when it is submerged in the fluid from the weight of the object when it is suspended above the fluid.

The weight of the rock when it is suspended above water is 9.8 N (the weight of the rock is equal to its mass multiplied by the acceleration due to gravity, which is 9.8 m/s²).

The weight of the rock when it is suspended beneath the surface of the water is 7.8 N.

To find the buoyant force, we can use the following formula:

Buoyant force = weight of object above fluid - weight of object below fluid

Buoyant force = 9.8 N - 7.8 N = 2 N

Therefore, the buoyant force exerted on the 1 kg rock by the water is 2 N.

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A positive charge and a negative charge held a certain distance apart are released and when they move, the force on each particle increases.

The charge carriers  are the positively charged proton and the negatively charged electron. The movement of any of these charged particles constitutes and explained as electric current.

When there are more or fewer protons in an atom than electrons, the substance has an electric charge. Protons have a positive charge on them, while electrons have a negative charge on them. If a substance has more protons than electrons, it is positively charged; if it has more electrons, it is negatively charged.

The SI units for charge can be written as ampere-second or coulomb.

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The change in internal energy of an ideal gas is 826.9 J. Internal energy, represented by the symbol U, is the total energy of a system.

The change in internal energy of an ideal gas can be calculated using the equation:

ΔU = nCΔT

where ΔU is the change in internal energy, n is the number of moles of gas, C is the heat capacity at constant volume, and ΔT is the change in temperature.

Since the heat capacity at constant volume for an ideal gas is (3/2)R, we can use the ideal-gas equation to find the number of moles n = PV/RT = (810^-3 m^3)(101325 Pa)/(8.314 J/molK)(340 K) = 0.965 mol

We know that the volume of the gas expanded to 2.3 times its initial volume, thus the change in volume is 2.3 - 1 = 1.3 times

The change in internal energy can be calculated by using the equation:

ΔU = nCv(ΔT) + nRT ln(Vf/Vi)

where Cv is the heat capacity at constant volume = (3/2)R, T is the temperature, and Vf and Vi are the final and initial volume respectively.

So, ΔU = 0.965 x (3/2) x 8.314 x (340) + 0.965 x 8.314 x 340 x ln(2.3) = 826.9 J

Therefore, the change in internal energy of the gas is 826.9 J.

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The very slight sound of the impact will reach the spider first, as sound travels faster than the disturbance traveling along the radial thread of the web.

The speed of sound is about 343 meters per second, while the disturbance traveling through the web is much slower.

The spider's ability to detect and react to sound is an important part of its survival, as it allows it to detect predators and other potential threats. Additionally, spiders use sound to communicate with each other and to find potential mating partners.

By understanding how sound travels and how spiders use sound to detect their environment, we can gain a better understanding of how spiders interact with their environment and how they communicate with each other.

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