two charged conducting spheres are separated by a distance d, as shown in the figure above. one sphere has charge 5q, the other has charge -q, and the diameter of each sphere is much smaller than d. each sphere exerts a force of magnitude f on the other. the spheres are brought together and touch briefly. after touching, the left sphere has charge 2q. the spheres are then returned to their original locations. what is the magnitude of the new force between the spheres?

Equilibrium and instant are ideas that are involved in this query. The unidentified object should mass "500 g."

A particle's or an object's mass is a dimensionless number that indicates how much matter is present. The kilogram is the International System's (SI) preferred unit of mass (kg).

Equilibrium must be attained in order for the meter stick to balance. The moment owing to each mass must be the same for equilibrium.

F1 d1 = F2 d2

M1 = G1 and M2 = G2

m1 d1 = m2 d2

where,

200 g is the known object's mass, or m1.

m2 = unknown object's mass =?

20 cm is d1 — the distance from the known object's fulcrum.

d2 = distance from unknown object's fulcrum = 8 cm

Therefore,

(200 g) (20 cm) = (m2) (8 cm) (8 cm)

m2 = (20 cm) x (8 cm) x (200 g)

m2 = 500 g

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Answer:

C: Energy of motion

Explanation:

Answer:

Work is defined as force thru a distance:   W = F * S

Power is defined as Work per unit time  P = W / t

So we an write:  P = F * S / t  = 2000 N * 50 m / 5 s = 20,000 N-m/s

Since a Joule/sec is equivalent to a Watt

The power required is 20,000 Watts or 20  Kw

Also, you can convert to Hp since 1 Hp = 746 Watts

Answer:

They come in different kinds, called elements, but each atom shares certain characteristics in common. All atoms have a dense central core called the atomic nucleus. ... All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.

The velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.

To find the velocity with which electrons drift in a silver wire, we can use the formula:

I = nAvq

where:

I is the current (in amperes),

n is the number of free electrons per unit volume (in m^3),

A is the cross-sectional area of the wire (in m^2),

v is the drift velocity of electrons (in m/s), and

q is the charge of an electron (approximately 1.6 x 10^-19 C).

Given:

I = 5.0 A (current)

n = 5.8 x 10^28 m^-3 (number of free electrons per m^3)

A = πr^2 = π(0.002 m)^2 (cross-sectional area)

q = 1.6 x 10^-19 C (charge of an electron)

First, we calculate the cross-sectional area of the wire:

A = π(0.002 m)^2 = 1.2566 x 10^-5 m^2

Next, we rearrange the formula and solve for v:

v = I / (nAq)

v = 5.0 A / (5.8 x 10^28 m^-3 * 1.2566 x 10^-5 m^2 * 1.6 x 10^-19 C)

v ≈ 1.58 x 10^-4 m/s

Therefore, the velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.

The drift velocity represents the average velocity at which the electrons move in the wire under the influence of an electric field. It is relatively small due to frequent collisions with lattice ions and other electrons within the wire.

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Answer:

Magnetism surrounding the wire draws the needle toward the wire.

Explanation:

The wire itself has it's own magnetism also, that's why, if you put a compass near it, then the compass will get confused and point the wrong direction.

Thanks!

MiniMeteorologist

The new gravitational force between the two heavenly bodies is six times the original gravitational force.

The gravitational force between two heavenly bodies can be calculated using Newton's law of universal gravitation;

F1 = G × (m1 × m2) / r²...eq (1)

gravitational constant = G

mass 1 = m1

mass 2 = m2

radius = r

distance between them constant,

we can calculate the new gravitational force F2 using the formula:

F2 = G × (m1 × m2) / r²; where

gravitational constant = G

mass 1 = 2m1 (doubled)

mass 2 = 3m2 (tripled)

radius = r

on substitution,

F2 = G × (2m1 × 3m2) / r²

= G × (6m1m2) / r²

= 6 × G × (m1m2) / r²

⇒ (G × (m1 × m2) / r² = F1 )...from eq. (1)

= 6 × F1

⇒ F2 = 6F1

Therefore, the new gravitational force will be six times the original gravitational force when one mass is doubled and the other mass is tripled.

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If one of the masses in a gravitational system is doubled and the other mass is tripled while keeping the distance between the bodies constant, then the new gravitational force will increase by a multiple of:

6 (2 x 3 = 6)

We know from Newton's Law of Gravitation that the gravitational force between two objects is:

F = G * (m1 * m2) / r^2

Where:

F = Gravitational force

G = Universal gravitational constant

m1 = Mass of first object

m2 = Mass of second object

r = Distance between the objects

Since the distance (r) between the two bodies remains constant in the given scenario, it drops out when calculating the change in force.

We are only concerned with how the change in masses affects the force.

Based on the equation, we can see that the gravitational force is directly proportional to the product of the two masses (m1 * m2).

If one mass doubles and the other mass triples, their product will increase by a multiple of 2 x 3 = 6.

Therefore, the new gravitational force between the two heavenly bodies will increase by a factor of 6, compared to the original gravitational force when only one mass was doubled and the other mass tripled, while keeping the distance constant between them.

(a) The maximum frequency of revolution is 4.0 rad/s.

b (i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path.

b (ii) The speed of the mass can be found using the minimum tension in the string is 2 m/s.

The maximum frequency of revolution is given by the maximum tension in the string, which is 60 N.

T = mv² / r

where;

The linear speed is given by:

v = 2πrf

where;

f = √T / (mr²))

f = √(60 / (0.60 x 1.20²))

f = 4.0 rad/s

(i) The tension in the string is maximum when the object is at the top of its path and minimum when it is at the bottom of its path. This is because the tension provides the centripetal force that keeps the object moving in a circular path.

(ii) The speed of the mass can be found using the minimum tension in the string, which is 2.1 N:

T = mv² / r = 2.1 N

Rearranging and solving for v, we get:

v = √(Tr / m)

v = √(2.1 x 1.20 / 0.60)

v = 2.0 m/s

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To shade the area around a magnet and show how strong the magnetic field is, one should use dark shading to show where the field is strong and light shading to show where the field is weak. The field lines show the direction and strength of the magnetic field, which can be mapped out using iron filings. The iron filings align themselves with the field lines, forming a pattern that shows the direction and strength of the field.

The magnetic field strength decreases as you move away from the magnet. The area around the magnet where the field is strong is called the magnetic field's "region of influence."

The lines of force around a magnet can be drawn to show the direction of the magnetic field. The force exerted on a charged particle in a magnetic field is proportional to the particle's speed, the strength of the field, and the angle between the particle's velocity and the field's direction.

There are several methods for illustrating magnetic field lines, including plotting magnetic field vectors on a grid of points, using iron filings, and drawing diagrams.

Magnetic field lines are imaginary lines used to visualize the magnetic field's direction and strength. When plotting magnetic field lines, the density of lines indicates the field's strength, with denser lines indicating a stronger field.

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Answer:

Well AM/Fm is digitally using soundwaves for cars through signal, which we cant hear without one (radio). Concerts are in real life and use wavelegnths that we hear because it bounces off overytihing.

Explanation:

Answer:

\(x = 2\sqrt 2\)

Explanation:

Given

\(Hypotenuse = 4\)

Required

Find x

Since the triangle is a 45-45-90 triangle, the following relationship exists

\(x^2 + x^2 = 4^2\) --- i.e. the other legs are equal

So, we have:

\(2x^2 = 16\)

Divide both sides by 2

\(x^2=8\)

Take square roots of both sides

\(x = \sqrt 8\)

Simplify

\(x = 2\sqrt 2\)

Answer:

7√2

Explanation:

Answer:

D

Explanation:

Also the capitol of Utah is Salt Lake City

Hope this helps!

Answer:

Utah

Explanation:

The Great Salt Lake, located in the northern part of the U.S. state of Utah, is the largest salt water lake in the Western Hemisphere, and the eighth-largest terminal lake in the world.

Starting from rest, the disc completes \(\theta\) revolutions after \(t\) seconds according to

\(\theta=\dfrac\alpha2t^2\)

with angular acceleration \(\alpha\). It completes 10 rev in 2 s, which means

\(10\,\mathrm{rev}=\dfrac\alpha2(2\,\mathrm s)^2\implies\alpha=5\dfrac{\rm rev}{\mathrm s^2}\)

Find the time it takes to complete 20 rev with this acceleration:

\(20\,\mathrm{rev}=\dfrac12\left(5\dfrac{\rm rev}{\mathrm s^2}\right)t^2\implies t=\sqrt8\,\mathrm s\approx2.83\,\mathrm s\)

so it takes approximately 0.83 s to complete 10 more rev.

Answer:

1/8

Explanation:

2R is the same as 1D, so you are a full diameter above yhe earth. The diameter of the earth is 12,742km, space starts at 100km so it probably isn't a third or a quarter. it is most likely an 1/8 or 1/9. if I had to guess it would be 1/8

The power of a laser beam, measured in watts, gives us information about the rate at which energy is delivered by the beam. However, to compare the number of photons per second delivered by different beams, we need to consider the energy of each individual photon.

The energy of a photon can be calculated using Planck's equation:

E = hf

where E is the energy, h is Planck's constant (approximately 6.626 × 10^-34 J·s), and f is the frequency of the light.

Since both lasers emit light beams with the same power of 1 mW, their energies per second are equal. However, the energy of each individual photon depends on the frequency of the light.

Green light has a higher frequency than red light, which means that each green photon carries more energy than each red photon. Therefore, the green laser pointer delivers fewer photons per second compared to the red laser pointer to maintain the same energy output.

In conclusion, the red laser pointer delivers more photons per second than the green laser pointer, even though both have the same power output of 1 mW.

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Answer:

In order to convert density to grams, you have to put the mass on one side of the equation, and the density and the volume on the other. Therefore, d * v = m. Multiply the density by the volume. Using the example in step 1, you would multiply 2 g/mL by 4mL.

Explanation:

ok

Answer:

Forms over water, warm humid air mass, it's a polar air mass

Explanation: I think that's right sorry if it's not..

GL! :)

Answer:

The maximum payload would be 37,500 lbs.

Explanation:

To calculate the maximum payload, we need to determine the difference between the maximum zero fuel weight and the basic operating weight (BOW). The payload refers to the weight of the cargo, passengers, and any additional items carried by the aircraft.

Given information:

Basic Operating Weight (BOW): 100,500 lbs

Maximum Zero Fuel Weight: 138,000 lbs

Maximum Payload = Maximum Zero Fuel Weight - Basic Operating Weight

Maximum Payload = 138,000 lbs - 100,500 lbs

Maximum Payload = 37,500 lbs

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Answer:

Below

Explanation:

384 400 km / 300 000 km/s = 1.28 seconds

Answer:

1022

Explanation:

No recooil and wall hack and

\(\\ \bull\tt\longmapsto Avg\:Velocity=\dfrac{Total\:Displacement}{Total\:Time}\)

First we have to find displacement

\(\\ \bull\tt\longmapsto Distaplacement=120-100=20m\)

\(\\ \bull\tt\longmapsto Avg\:Velocity=\dfrac{20}{4+6}\)

\(\\ \bull\tt\longmapsto Avg\:Velocity=\dfrac{20}{10}\)

\(\\ \bull\tt\longmapsto Avg\:Velocity=2m/s\)

Answer:

Equinox.

Explanation:

It is Equinox because Equinox is defined as the time when the sun rays passes through the Earth's equator. This happen twice in the year around 21 March and 23 September. It is the time when the center of the sun is directly above the equator.

This normally occur when the Earth axis is either tilted toward or away from the sun which lead to equal amount of daylight and darkness.

Answer:

distance and length are the same quantity

Answer:

Explanation:

The simultaneous expansion and contraction of the layers should nonstick even the most stubborn glassware!!

Answer:

a. The ratio of their resistance is 2783:64

b. The ratio of their energy is 4:23

c. The charge on the first bulb is 5.75 C

The charge on the second bulb is \(0.\overline {36}\) C

Explanation:

The voltage on one of the electric bulbs, V₁ = 40  volts

The power rating of the bulb, P₁ = 230 w

The voltage on the other electric bulbs, V₂ = 110 volts

The power rating of the bulb, P₂ = 40 w

a. The power is given by the formula, P = I·V = V²/R

Therefore, R = V²/P

For the first bulb, the resistance, R₁ = 40²/230 ≈ 6.96

The resistance of the second bulb, R₂ = 110²/40

The ratio of their resistance, R₂/R₁ = (110²/40)/(40²/230) = 2783/64

∴ The ratio of their resistance, R₂:R₁ = 2783:64

b. The energy of a bulb, E = t × P

Where;

t = The time in which the bulb is powered on

∴ The energy of the first bulb, E₁ = 230 w × t

The energy of the second bulb, E₂ = 40 w × t

The ratio of their energy, E₂/E₁ = (40 w × t)/(230 w × t) = 4/23

∴ The ratio of their energy, E₂:E₁ = 4:23

c. The charge on a bulb, 'Q', is given by the formula, Q = I × t

Where;

I = The current flowing through the bulb

From P = I·V, we get;

I = P/V

For the first bulb, the current, I = 230 w/40 V = 5.75 amperes

The charge on the first bulb per second (t = 1) is therefore;

Q₁ = 5.75 A × 1 s = 5.75 C

The charge on the first bulb, Q₁ = 5.75 C

Similarly, the charge on the second bulb, Q₂ = (40 W/110 V) × 1 s = \(0.\overline {36}\) C

The charge on the second bulb, Q₂ = \(0.\overline {36}\) C.

d. The question has left out parts

A negatively charged balloon is brought near a neutral, conducting sphere. The opposite side of the conducting sphere is touched. When touched, electrons move from the negatively charged balloon to the opposite side of the conducting sphere. This occurs due to the process of electrostatic induction.

When a negatively charged balloon is brought near a neutral conducting sphere and then touched, electrons move from the negatively charged balloon to the opposite side of the conducting sphere.

This occurs due to the process of electrostatic induction, where the presence of a charged object (the balloon) causes the redistribution of charge in a nearby conductor (the conducting sphere).

The negatively charged balloon repels electrons in the conducting sphere, causing them to move to the opposite side of the sphere due to the repulsive force.

When the opposite side of the sphere is touched, electrons can transfer to that side, equalizing the charge distribution and resulting in a redistribution of charge on the conducting sphere.

This process is temporary and the conducting sphere will return to its original state of being neutral once the charged balloon is removed.

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The three components of the journey's vector is 267.7 m, the displacement by the time taken is 22.3 m/min, the average speed is 23 m/min and the average speed with a precision of ±5% and ±20 s is 21.9 m/min to 23 m/min.

Magnitude is a measure of the size or intensity of something. It is usually a numerical quantity or value, such as size, energy, power, intensity, brightness, strength, or speed. Magnitude is a mathematical concept that is used to compare and evaluate different values.

Using this theorem, we can find the magnitude of the displacement (d) by taking the square root of the sum of the squares of the three components of the journey's vector.
d = √(160² + (180*cos45)² + (250*cos35)²)
d = √(25600 + 25600 + 20625)
d = √71725
d ≈ 267.7 m

To calculate the average speed, we need to divide the magnitude of the displacement by the time taken.
Average Speed = d/t
Average Speed = 267.7 m/12 min
Average Speed = 22.3 m/min
To account for the precision of ±5%, we can add or subtract 5% of the displacement, and ±20 s of the time taken.

Using the new values, we can calculate the average speed as follows:
Average Speed = (267.7 ± 13.4 m)/(12 min ± 20 s)
Average Speed = (254.3 m - 281.1 m)/(11 min 40 s - 12 min 20 s)
Average Speed = (254.3 m/11 min 40 s) - (281.1 m/12 min 20 s)
Average Speed = 21.9 m/min - 23 m/min
Therefore, the average speed with a precision of ±5% and ±20 s is 21.9 m/min to 23 m/min.

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Doppler's effect:

The Doppler effect states that the frequency of sound increases as it source approaches you and it decreases as the source turns away from you.

When the ambulance drives past you, the pitch of the siren is lower. This is due to the fact that the frequency of the wavelength decreases.

A higher pitch means frequency increases and a lower pitch means frequency decreases.

Therefore, the correct answer is option B. decreases

Explanation:

56777^7744 hold the 4 nd add 2

What is permeability? b. pore spaces that are interconnected to allow the movement of air or water. Permeability is a measure of the ability of a material to allow the flow of fluids through it.

It is a measure of the interconnectedness of the pore spaces in a material. Materials with high permeability allow fluids to flow through them more easily than materials with low permeability.

What is the capillary fringe? b. material above the water table that is moistened by the rise of capillary water against gravity. The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Capillary action is the ability of water to move upwards against gravity through the narrow spaces between soil particles. The capillary fringe is typically a few centimeters thick, but it can be thicker in some soils.

Permeability is a measure of the ability of a material to allow the flow of fluids through it.

The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Permeability is important in a variety of applications, including groundwater recharge, well design, and the construction of dams and levees. The capillary fringe is important for plant growth, as it provides water to plants that are not located directly above the water table.

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Answer:

Explanation:

Gain  of kinetic energy + work done by friction = loss of potential energy

= 1 / 2 m ( 25² - 8² ) + work done by friction = m x 9.8 x ( 12 + 12 )

= .5 x 100 x ( 625 - 64 ) + work done by friction = 100 x 9.8 x 24

28050 + work done by friction = 23520

work done by friction = -4530 J