Define the term " relative permittivity " ​

Answer:

A TURNING CAR WITH CONSTANT SPEED......NON-EX OF INERTIA

Explanation:

(a) At 20 kHz, the reactance of the inductor is X_L = 2πfL = 2π(20,000 Hz)(20 mH) = 1,256 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/1,256 Ω = 7.14 mA.

Reactance is an electrical phenomenon that occurs when an alternating current (AC) is applied to an inductive circuit. It is a type of opposition to the flow of electric current due to the inductance of the circuit. Reactance is measured in ohms and is the result of the inductive effect of the circuit components. When an AC voltage is applied to a circuit, the current that flows through the inductive circuit opposes the voltage change and produces an opposing voltage across the inductor which is called reactance.

(b) At 60 Hz, the reactance of the inductor is X_L = 2πfL = 2π(60 Hz)(20 mH) = 377 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/377 Ω = 23.87 mA. At lower frequencies, the reactance of the inductor is lower, so the current through the inductor is higher.

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About the possibility of a collision between this asteroid and the Earth the true statement is there is not enough information to determine whether there is danger of a collision.

What is asteroid?

A tiny, stony object called an asteroid orbits the Sun. They are made up of materials left over from the formation of the solar system and are typically found in the asteroid belt. Most asteroids are less than one kilometer in diameter, but some can be much larger. Asteroids are commonly composed of minerals and metals, such as iron, magnesium, and silicon. Asteroids are classified into three main types: C-type, S-type, and M-type. C-type asteroids are the most common and make up around 75% of known asteroids. They are made up of dark, carbon-rich material and are often referred to as "carbonaceous chondrites". S-type asteroids are made up of silicate material, such as clay and silica, and are typically brighter than C-type asteroids. M-type asteroids are made of metallic material, such as iron and nickel, and are the least common type.

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The method that will give the most accurate measurement is P = l²R, because it has the least uncertainty.

The power dissipated in a circuit is given by the following formula as shown below.

P = I²R

P = VI

where;

Percentage uncertainty gives the error associated with each measurement. The greater the value of percentage uncertainty, the greater the error associated with the measurement.

To determine the method that will given the most accurate measurement, we will find out the method with least error.

For the first method, =  I²R

Total uncertainty for first method =  I²R = ( 0.5 % )² x ( 0.1 % ) = 0.0025%

Total uncertainty for second method = VI = ( 0.5% x 0.5 % ) = 0.25 %

Thus, the measurement with the least uncertainty is the first method, I²R.

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Answer:

Kinetic Energy?

Explanation:

Work: N-m = Joule (J)

Power: J/s = Watt (W)

Energy: Joule (J)

37500 Newton meter is the pressure

The length of the unstretched bungee is 50 m.

The speed of the bungee jumper is calculated by applying the formula for kinetic energy as shown below.

K.E = ¹/₂mv²

where;

mv² = 2 K.E

v² = (2 x K.E ) / ( m )

v = √ [  (2 x K.E ) / ( m ) ]

v = √ [  (2 x 35,280 ) / ( 72 ) ]

v = 31.3 m/s

The length of the unstretched bungee is calculated as follows;

P.E = K.E

mgL =  ¹/₂mv²

L = ( v² ) / ( 2g )

L = ( 31.3² ) / ( 2 x 9.8 )

L = 50 m

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According to the description provided, it seems that Serena is achieving generativity through the variation of generativity known as "generativity in work."

Generativity in work refers to the ability to find meaning and purpose in one's work, and to contribute to the betterment of society through that work.

Serena's work as a genealogist at the local historical society is a clear example of this, as she is helping people connect with their roots and understand their family history, which can be a powerful source of meaning and identity.

Additionally, her work is preserving and sharing important historical information, which contributes to the community's understanding of its past and can inform decisions about the future.

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The conductance is obtained here as 0.10 ohm -1.

We know that the usefulness of a metallic conductor lies in the ability of the conductor to be able to serve as a conduit for the passage of the electric current and this can be seen from the values of the conductivity as well as the conductance of the wire.

We know that;

K = σ a/l

σ = conductivity

a = cross sectional area

l = length

K = 0.65 ohm-1 cm-1 * 1.5 cm2/ 9.5 cm

K = 0.10 ohm -1

The wire would be found to have a conductance of 0.10 ohm -1.

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The kinetic energy before the collision was 8Joules.

The energy due to the motion of a body is called kinetic energy where as everything moving around us has kinetic energy.

For above given information,

the mass of the metal ball at rest, m₁ = 3.0 kg

The velocity of the ball at rest = 0 m/s

The mass of the metal ball that hits the one at rest, m₂ = 1.0 kg

The velocity of the metal ball that hits the one at rest, v₂ = 4.0 m/s

The velocity with which the 3.0 kg ball moves forward = 2.0 m/s

The velocity with which the 1.0 kg ball bounces back = 2.0 m/s

So, the kinetic energy, K.E. = 1/2 × m × v²

Where;

m = The mass of the of the object in motion

v = The velocity of the object

Before the collision, we have;

Initial K.E. = 1/2 × m₁ × v₁² + 1/2 × m₂ × v₂²

∴ Initial K.E. = 1/2 × 3.0 kg × (0 m/s)² + 1/2 × 1.0 kg × (4.0 m/s) ² = 8 J

The kinetic energy before the collision is equal to the initial K.E. = 8 J.

Thus, the kinetic energy before the collision was 8Joules.

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[tex]\texttt{mass}=\dfrac{weight}{g}[/tex]

weight = 1225N

acceleration due to gravity = 9.8 m/s^2

[tex]\texttt{mass}=\dfrac{1225}{9.8}[/tex]

[tex]\fbox{mass = 125 kg}[/tex]

One way to increase the amount of force that comes out of a hydraulic lift is by increasing the area of the larger piston. Since pressure is equal to force divided by area, if the area of the larger piston is increased, the pressure on the larger piston will be less, but the force will remain the same. This means that the force applied to the small piston will be amplified on the larger piston, resulting in a greater force being exerted by the larger piston.

Another way to increase the amount of force that comes out of a hydraulic lift is by decreasing the area of the small piston. As in this case the pressure is same on both pistons but the force would be more on the small piston and thus will be amplified to a greater force on the larger piston.

By using both methods together, the effect of increasing the force that comes out of a hydraulic lift is even greater.

The gravitational force between them would be twice as much.

option D is the correct answer.

Newton's law of universal gravitation states that the force of attraction between two object in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

Mathematically, the formula for Newton's law of universal gravitation is given as;

F = ( Gm₁m₂ ) / ( R² )

where;

When mass of one of the objects doubles, the new gravitational force will be calculated as;

F' = ( Gm₁ x 2m₂ ) / ( R² )

F' =  2( Gm₁m₂ ) / ( R² )

F' = 2F

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Parallel springs with spring constants of 32.0 N/m for k1 and 32.4 N/m for k2 stretch by d1 and d2 respectively when a mass of 0.200 kg is applied to them.

A spring constant is what?

A spring property that can be described as the ration of the force acting on the springs to the motion it produces.The rigidity of the spring is how we determine spring constant. In other words, we may define its constant as that of the force that was used to cause the spring's displacement to be one unit. It follows that a spring's spring constant will increase with increasing spring stiffness.

A displacement is what?

Displacement: If  things change in relation to a reference point, the difference between the initial and final positions of those things is known as displacement. Displacement can be measured in terms of distance and direction from the reference point. It is a vector quantity, meaning that it has both a magnitude and a direction. In physics, displacement is typically used to describe the movement of an object over time.

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The volume of the cone is 15.7 cm^3.

Density of cone is 0.38 kg/cm^3

Radius of the cone = 3 cm

Height of the cone = 10 cm

Formula used:

Volume of a cone = (1/3) × π × r^2 × h

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Where, r = radius of the cone

h = Height of the cone

Volume of the cone = (1/3) × π × r^2 × h

(1/3) × π × 3^2 × 10

(1/3) × (22/7) × 3^2 × 10

15.7 cm^3

Density = mass/volume

Density = 6kg/15.7 cm^3

Density = 0.38 kg/cm^3

Hence, the volume of the cone is

15.7 cm^3

And density of cone is 0.38 kg/cm^3

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C. 0.500 km

We can use the equation for gravitational force (F = G * m1 * m2 / r^2) where G is the gravitational constant, m1 and m2 are the two masses, and r is the distance between the two masses.

Given that the gravitational force acting on the astronaut from the ISS is 7.0 E−7 N and the mass of the astronaut is 250 kg and the mass of the ISS is 420,000 kg.

We can rearrange the equation to solve for the distance r:

r = (G * m1 * m2 / F)^(1/2)

r = (6.67 E−11 N*m2/kg2 * 250 kg * 420,000 kg / 7.0 E−7 N)^(1/2)

r = 0.5 km

So the astronaut is 0.5 km away from the ISS.

In this lab, you observed how different factors such as velocity, gradient, and , or amount of water in a stream, affect the rate of , the transport of materials from one area to another by water.

Volume, Erosion

How did changing from a light drizzle to a downpour affect the river and the sediment in it? Check all that apply.

3.The velocity of the river increased.

4.There was more erosion in the stream.

5.The type of sediment that moved changed.

Answer:

you can calculate the horizontal distance i.e s by applying the motion formula.

Explanation:

First .you should calculate the time period of the ball

h=ut + 1/2 at²

then,v²=u² +2as

a=v-u÷t

1. Charges qB and qC have different signs.

2. The ratio qC/qB is 9/4.

3. The sign of charge qA must be the same as that of either qB or qC lesser magnitude.

Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.

1. As net force on qA is zero, charges qB and qC have different signs.

2. The ratio qC/qB is = (3d)²/(2d)² = 9/4.

3. As the net force on qA is zero,  the sign of charge qA must be the same as that of either qB or qC lesser magnitude.

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If the rocket engines apply a constant upward force F until the rocket reaches a height of 100m and then shut off, the motion of the rocket can be described as a vertical projectile motion.

At the time of take-off, the rocket is at rest and has an initial velocity of 0 m/s. As the rocket engines apply a constant force F, the rocket will accelerate upward. The acceleration of the rocket can be determined by Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma).

The upward force F will cause the rocket to accelerate upward until it reaches a height of 100 m. At this point, the engines shut off and the rocket will continue to move upward under the influence of gravity alone. As it reaches the highest point, its vertical velocity will be zero and it will start to fall back to the ground.

It's important to note that the force applied by the engines and the height reached by the rocket are not enough to calculate the velocity and trajectory of the rocket. More information such as time elapsed, the force of the engines and the air resistance is needed to have a more accurate picture of the situation.

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Answer:

130 N

Explanation:

g is directly proportional to the mass of the planet (M) and indirectly proportional to the square of the radius of the planet (R²).

g = GM/R²

G = gravitational constant

Therefore if Earth increases in mass by X5 and increases in radius by X5, then the value of g (9.8 m/s²) changes by a factor of 5/5² = 5/25 = 1/5.

Weight = W = mg

(650N)(1/5) = 130 N

Answer:

Explanation:

a) To find the height of the stone above the ground at time t = 3 seconds, we need to substitute t = 3 into the function h(t) = -5t² + 30t + 2 and solve for h(3).

h(3) = (-53²) + (303) + 2 = -45 + 90 + 2 = 37m

b) To find from what height above the ground the stone was released, we need to find the value of h(0), which represents the height of the stone at time t = 0, which is the time the stone was released.

h(0) = (-50²) + (300) + 2 = 2 m

c) To find the time at which the stone is 27 m above the ground, we need to solve for t in the equation h(t) = 27.

27 = (-5t²) + (30t) + 2

27 = -5t² + 30t + 2

25 = -5t² + 30t

5t² - 30t - 25 = 0

(5t-5)(t+5) = 0

t = 1 or t = -5

As time cannot be negative, the time at which the stone is 27 m above the ground is t = 1 sec.

Answer:

409.66

Explanation:

Given:

\omega_0=0\: \rm rad/sω0=0rad/s

v=24.8\: \rm m/sv=24.8m/s

t=10.1\: \rm st=10.10s

d=38.9\:\rm cmd=38.9cm

The final angular speed

\omega=\frac{v}{R}=\frac{24.8}{0.389/2}=127.5\:\rm rad/sω=Rv=0.389/49.6.0=127.5rad/s

(a)

\phi=\frac{\omega+\omega_0}{2}=\rm \frac{127.5+0.00}{2}\times 10.1= 2575\: radϕ=2ω+ω0=127.5+0.00×10.1=2575.5rad

N=\frac{\phi}{2\pi}=\frac{2575}{2\pi}=409.66N=2πϕ=2575=409.66

From the principle of moment, for the first pole, FL = 264.6N , FR = 166.6 N . For the second pole, FL = 378 N, FR = 280 N.

A moment of a force can be defined as the product of a force and its perpendicular distance. It is measured in Nm

Given that a pole vaulter shown in the diagram holds his pole horizontal by exerting an upward force FL with his leading hand and downwards forces FR with his trailing hand.

To calculate the force FL, first calculate the force FR by taking moment at FL.

For the first diagram,

a) Taking the moment at FL,

Clockwise moment = 98 × (3 - 1.3)

Anticlockwise moment = FR × 1

Clockwise moment will be equal to anticlockwise moment. That is,

98 × 1.7 = FR × 1

FR = 166.6 N

b) To calculate the force FR downwards, equilibrium to be attained, the sum of upward forces must be equal to the sum of downward forces. That is,

FL = FR + Fg

FL = 166.6 + 98

FL = 264.6 N

Therefore, the FL upward force and the FR downward force are 264.6 N and 166.6 N respectively

For the second diagram,

a) Taking the moment at FL,

Clockwise moment = 98 × (2.7 - 0.7)

Anticlockwise moment = FR × 0.7

Clockwise moment will be equal to anticlockwise moment. That is,

98 × 2 = FR × 0.7

FR = 196/0.7

FR = 280 N

b) To calculate the force FR downwards, equilibrium to be attained, the sum of upward forces must be equal to the sum of downward forces. That is,

FL = FR + Fg

FL = 280 + 98

FL = 378 N

Therefore, the FL upward force and the FR downward force are 280 N and 378 N respectively

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In the above case, It is not possible for it to rain cats and dogs as it is a figure of speech and not a literal occurrence. Similarly, humans cannot turn into a different species as it goes against the laws of science and biology.

While it may be possible for genetic mutations to occur, they are extremely rare and would not result in a change of species. Therefore, it is not realistic to expect these things to happen.

The statement above is not entirely accurate. Raining cats and dogs is a phrase used to describe heavy rain, it is not a real phenomenon. And humans cannot turn into a different species, it is a biological impossibility.

The concept of evolution over millions of years has led to the development of different species, but one species cannot turn into another within a short period of time or through any known scientific means.

Therefore, It is important to understand that some things are truly impossible, and it is not realistic to assume otherwise.

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Even though some things may be impossible such as raining cats and dogs, and humans turning into a different species, realistically, it can happen but at a very extremley low percent? explain

The magnitude and direction of the net electric force on each of the spheres is 1.92 x 10⁻⁵ N to the right.

The net electric force on the charges is calculated as follows;

F (net) = F (AB) + F (BC)

where;

The electric force between sphere A and B is calculated as follows;

F ( AB ) = kq₁q₂ / r²

where;

F (AB) = ( 9 x 10⁹ x 5.1 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.03² )

F (AB) = 8.16 x 10⁻⁵

since it is between two positive charges, it will be repulsive, hence F (AB) = - 8.16 x 10⁻⁵

The electric force between sphere B and C is calculated as follows;

F (BC) = ( 9 x 10⁹ x 2.8 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.02² )

F (BC) = 1.008 x 10⁻⁴ N

since the force is between opposite charges, it will attractive, so F (BC) is positive.

The net force on each sphere is calculated as;

F (net) =  -8.16 x 10⁻⁵ N +  1.008 x 10⁻⁴ N

F (net) = 1.92 x 10⁻⁵ N

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The coefficient of kinetic friction between the chair and the waxed floor, does she just reach the glass without knocking it over is,

[tex]\mu_k[/tex]= Coefficient of kinetic friction = 0.102

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between the two surfaces.

Greek letter mu (μ) is typically used to represent it. In mathematics, is equal to F/N, where F is the frictional force and N is the normal force.

The coefficient of friction is dimensionless because both F and N are expressed in units of force (such as newtons or pounds).

For both static and kinetic friction, the coefficient of friction has different values. When an object experiences static friction, the frictional force resists any applied force, and the object stays at rest until the static frictional force is removed.

Using Energy conservation:

KEi + PEi + Wf = KEf + PEf

KEi = 0, since initially Albertine was at rest

KEf = 0, since finally Albertine need to be at rest to just reach the glass

PEi = (1/2)*k*x^2 = Initial Potential energy due to compression of spring

PEf = 0 (since at final position compression in spring is zero)

Wf = Work-done by friction = Ff×d = -μκ*m*g*d

So,

0 + (1/2)*k*x^2 -[tex]\mu_k[/tex]*m*g*d = 0 + 0

[tex]\mu_k[/tex]= k*x^2/(2*m*g*d)

Using given values:

[tex]\mu_k[/tex] = 95.0*5.00^2/(2*60.0*9.80*19.8)

[tex]\mu_k[/tex]= Coefficient of kinetic friction = 0.102

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