The diagram below shows two identical metal spheres, A and B, separated by a distance d. Each sphere has mass m and possesses charge q. Sphere A has a positive charge & sphere B has a negative charge.
Which diagram best represents the directions of the gravitational force, Fg , and the electrostatic force, Fe , acting on sphere A due to the mass and charge of sphere B? [Vectors are not drawn to scale.]

Answer: 0.28 A

Explanation:

Answer: The spring constant of a given spring is \(40 N/m\).

Explanation:

Given,

Force (F) = 20N

The displacement of the spring\(= x = 0.5 m\)

To find: Spring constant (k) = ?

As we know that,

Hook's law states that,

\(F = k\) · \(x\)

Therefore, \(k = \frac{F}{x}\)

\(k = \frac{20}{0.5}\)

\(k = \frac{(20)(10)}{5}\)

\(k = 40 N/m\)

Hence, The spring constant of a given spring is \(40 N/m\).

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Answer:c

Explanation:c

This question involves the concepts of the time period, orbital radius, and gravitational constant.

The theoretical period of the moon is "658 hr".

The theoretical time period of the moon around the earth can be found using the following formula:

\(\frac{T^2}{R^3}=\frac{4\pi^2}{GM}\)

where,

T = Time Period of Moon = ?

R = Orbital Radius = 3.84 x 10⁸ m

G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

M = Mass of Earth = 5.97 x 10²⁴ kg

Therefore,

\(\frac{T^2}{(3.84\ x\ 10^8\ m)^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\T^2=(9.91\ x\ 10^{-14}\ s^2/m^3)(56.62\ x\ 10^{24}\ m^3)\\\\T=\sqrt{561.34\ x\ 10^{10}\ s^2}\)

T = 2.37 x 10⁶ s\((\frac{1\ h}{3600\ s})\)

T = 658 hr

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The attached picture shows the derivation of the formula for orbital speed.

Answer:

ΔV1 = ΔV2 = I1 R1 = I2 R2

The first answer is correct - the voltage drop is the same across either resistor

I = I1 + I2    because the current splits on entering the resistors

False. The Clean Water Act can still be applicable to ponds that are not adjacent to open water if they are considered "waters of the United States" under the act, which can include wetlands and other bodies of water that are connected to navigable waters.

The Clean Water Act (CWA) aims to protect all navigable waters in the United States, including ponds that may not be directly adjacent to open water. The CWA regulates the discharge of pollutants and requires permits for certain activities that could potentially harm water quality. Even if a pond is not adjacent to open water, it may still be protected under the CWA if it has a significant connection to other waters, such as through underground or surface water flow.

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Given data

*The given initial velocity of the football is v = 20.2 m/s

*The angle above the horizontal is

*The value of the acceleration due to gravity is a = -9.8 m/s^2

The vertical component of the velocity is calculated as

The formula for the time required by the ball to reach the maximum height is given by the equation of motion as

*Here v_f = 0 m/s is the final velocity of the football at maximum height

Substitute the known values in the above expression as

The total time is taken by the football before it hits the ground is calculated as

The correct statement is A) for a longer time than in New York. The hard-boiled egg would need to be placed in boiling water for a longer time in Quito compared to New York City.

The boiling point of water decreases with increasing altitude. Since Quito is located at an altitude of 2,850 meters above sea level, the boiling point of water is lower than at sea level. This means that the water in Quito boils at a lower temperature than in New York City. When cooking a hard-boiled egg, the water needs to reach a certain temperature to properly cook the egg. In Quito, the water will take longer to reach that temperature due to the lower boiling point, requiring a longer cooking time for the egg to become hard-boiled.

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Answer:

Conductor

Explanation:

A battery holds all of the energy in itself. So without the battery, the circuit cannot work.

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Answer:

Carbon (see below)

Explanation:

To identify an element on the period table, you can use its atomic number—or its number of protons.

The atomic number of an element is located in the upper left-hand corner of each square in the periodic table. Refer to IMAGE.A for more info.

If you look at the periodic table, you can spot carbon in the nonmetals.

Carbon's upper left-hand corner has a 6. Refer to IMAGE.B for more info.

Answer:

0.0021576N

Explanation:

F=(k)(q1q2/r^2)

F=(8.99×10^9)(3×10^-6)(2×10^-6)/(5^2)

F=0.0021576N

Answer:

\(r = \frac{v}{i} = v = ri \\ i = \frac{v}{r} \)

That's true.

-- a bell starts ringing (wave) when you tap it (simple pulse)

-- a pond starts rippling (wave) when a stone drops in (simple shock)

-- a guitar strings starts waving when you pluck it

Answer:

2

cos

(

x

)

−

√

3

=

0

2

cos

(

x

)

-

3

=

0

5

3

y

+

5

2

=

5

5

3

y

+

5

2

=

5

x

−

4

≥

0

Explanation:hopefully this helps you

The impulse that Earth exerts on a 210 g apple that is falling from a tree during the first 0.50 seconds can be calculated using the formula for impulse.

Impulse is defined as the change in momentum of an object, and is given by the equation:

J = Δp

where,

J is the impulse.

Δp is the change in momentum.

To calculate the impulse that Earth exerts on the apple, we need to know the initial momentum and the final momentum of the apple during the first 0.50 seconds.

Since the apple is falling freely, its initial momentum is zero (because it is at rest), and its final momentum can be calculated using the formula:

p = mv

where,

p is the momentum.

m is the mass.

v is the velocity.

Since the apple is falling freely, we can use the equation for free fall to find the velocity:

v = gt

where g is the acceleration due to gravity, and t is the time.

At the end of 0.50 seconds, the velocity of the apple can be calculated as: v = gt = (9.8 m/s²)(0.50 s) = 4.9 m/s.

Therefore, the final momentum of the apple can be calculated as:

p = mv = (0.210 kg)(4.9 m/s) = 1.029 kg m/s.

The change in momentum (Δp) during the first 0.50 seconds is simply the final momentum, since the initial momentum is zero.

Therefore, the impulse that Earth exerts on the apple during the first 0.50 seconds is given by:J = Δp = 1.029 kg m/s

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The quantity that must be measured in order to calculate the coefficient of friction is angle at which the surface is tilted

Since the block of mass m slides at a constant speed,

a = 0

If tilted at an angle θ,

∑ Fy = m ay

N - Wy = 0

N = m g cos θ

∑ Fx = m ax

Wx - f = 0

f = m g sin θ

f = μ N

f = Frictional force

μ = Co efficient of friction

N = Normal force

μ = f / N

μ = m g sin θ / m g cos θ

μ = sin θ / cos θ

μ = tan θ

μ ∝ θ

Therefore, to calculate the coefficient of friction, the quantity that needs to be measured is angle of tilt

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Answer:

Fossil fuels store energy from the sun as

Explanation:

The mass of an atom that have six protons; six neutrons; and six electron is 12. The mass of an atom is the total of its protons and neutron

Atom is the smallest structure of the chemical element. Atom contain protons, neutrons and electrons. Protons is a subatomic that contains positive electric charge where the electrons is a subatomic that contains negative electric charge or the opposite of the protons. Neutrons is a subatomic that contain no electric charge. The mass number of an atom is formulated as mass number = protons + neutrons. Hence:

mass number = protons + neutrons.

mass number = 6 + 6

mass number = 12

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Answer:

pls refer to attachments

Explanation:

is this the full question?

Answer:

1258.46

Explanation:

Acellus

Answer:

North Korea I'm pretty sure

Answer:

101 N

Explanation:

The force of friction acting on him will be 101.43 N

Kinetic friction is defined as a force that acts between moving surfaces.

F (kinetic friction) = mu * F (normal)

mu =  0.09

mass = 115 kg      

F (kinetic friction) = mu * mg

F (kinetic friction)  =  0.09 * 115  * 9.8

                              = 101.43 N

The force of friction acting on him will be 101.43 N

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Answer:

a

 \(a = 21.7 \ m/s^2\)

b

\(F = 108.5 \ N\)  

Explanation:

From the question we told that

   The mass is  m  =  5 kg

    The initial speed \(u = 5 m/s\)

    The time taken to attain \(v = 70 \ m/s\) is  t =  3 s

Generally from kinematic equation we have that

     \(v = u + at\)

=> \(70 = 5 + a * 3\)

=>  \(a = 21.7 \ m/s^2\)

Generally  the force acting is mathematically represented

        \(F = m * a\)

=>      \(F = 5 * 21.7\)  

=>      \(F = 108.5 \ N\)  

Answer:

all of the above conditions are necessary for electric current to flow

Explanation:

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Part A :The position of the particle in vector form is given by\(r⃗ (t)=R[cos(ωt)i^+sin(ωt)j^]\)where R is the radius of the circle and ω is the angular velocity.The velocity of the particle is given by taking the derivative of the position vector with respect to time.

Taking derivative with respect to time on both side we get \(v⃗ (t)=d/dt R[cos(ωt)i^+sin(ωt)j^]= R[-in(ωt)ωi^+cos(ωt)ωj^]=ωR[-sin(ωt)i^+cos(ωt)j^]v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\)Thus the velocity of the mass at a time t is given by \(v⃗ (t)=ωR[-sin(ωt)i^+cos(ωt)j^]\).

Part B :

We have to find the velocity at time -t. The velocity of the particle is given by taking the derivative of the position vector with respect to time. Thus the velocity of the mass at a time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)

\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)Part C :

The average acceleration of the particle can be computed using the formulaa = \(Δv/Δt\)The velocity at time t is given by\(v⃗ (t) = ωR[-sin(ωt)i^+cos(ωt)j^]\)

The velocity at time -t is given by \(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)

\(v⃗ (-t) = ωR[sin(ωt)i^ - cos(ωt)j^]\)The change in velocity over the interval from -t to t is therefore

\(Δv = v(t) - v(-t) = 2ωR[sin(ωt)i^ + cos(ωt)j^]\)

The time interval over which this change occurs is\(Δt = 2t\)Thus the average acceleration of the particle is given by a = \(Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)

\(a = Δv/Δt = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\)

The acceleration can be expressed in terms of R, ω, t, and the unit vectors \(i^ and j^\) as \(a = ω^2R[sin(ωt)i^ + cos(ωt)j^]/t\).

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Answer:

B. Conductivity.

Explanation:

Conductivity is the quantity of heat passing per second through a slab of unit cross-sectional area when the temperature gradient between the two faces is unity when put in heat.

Answer:

Electrical energy is transferred from the wall socket to the computer. Electrical energy is transformed to sound and light energy when the computer is turned on. Electrical energy is transformed to heat energy when the computer stays on.