h) Find the inverse Laplace transforms of the equation. When the X(s) =1 /(s²+9s+20)​

Answer: Wind energy is powered by wind, and solar energy is powered by the Sun.

It take 1.33 second to a Dalmatian to accelerate from rest to its top speed.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

given parameters:

initial speed, u = 0

final speed, v =16.5 m/s.

distance covered, s = 11 meters.

We have to find: time t = ?

We know that:

s = ut +(v-u)t/2

⇒ 11 = 0 + (16.5 -0)t/2

⇒ t = 22/16.5 second = 1.33 second.

So,  it take 1.33 second to a Dalmatian to accelerate from rest to its top speed.

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The value of spring constant (k) is 25 N/m.

Conservation of energy, potential energy of a stretched spring, gravitational potential energy, frequency of oscillation in a spring coupled to a mass, and variation of acceleration due to gravity with altitude are the principles necessary to answer the given problem.

To begin, use energy conservation to equal change in gravitational potential energy on mass attached to spring and elastic potential energy of stretched spring. Then, in the equation, substitute the specified numbers and solve for the spring constant. Then, calculate the amplitude by taking half of the value of spring stretching from equilibrium, and the frequency of oscillation by using the calculation for frequency of oscillation in a stretched string in terms of mass and spring constant.

Formula apply

U=mgh

U=1/2kx^2

putting the value of K ,x ,mass and g then

k is 25N/m

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The length of the rod at 60 degree Celsius is 1.010025m.

It defines the material's property of expanding when temperature is increased.

The change in length related to the coefficient of linear expansion is given by

ΔL = αLΔT

where ΔT is the change in temperature, L is the original length and ΔL is the change in length.

Substitute the values from question, we get the coefficient of linear expansion as

α = ΔL /LΔT

α = (1.005-1) / 1 x(40-20)
α= 2.5 x 10⁻⁴ /°C

Length at 60°C, L' =1.005 [1 + 2.5 x 10⁻⁴x (60-40)]

L' = 1.010025 m

Thus, the length at 60°C is 1.010025 m

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The frequency of the wave is 0.33 Hz.

The celerity of the wave is wave is 4.95 m/s.

As the celerity of the wave increases, the wavelength increases.

The frequency of the wave is calculated by applying the following formula.

v = fλ

where;

f = 1 / T

f = 1 / 3 s

f = 0.33 Hz

The celerity of the wave is wave is calculated as follows;

v = fλ

v = ( 0.33 Hz ) x ( 15 m )

v = 4.95 m/s

λ = v / f

Thus, from the above equation as the celerity of the wave increases, the wavelength increases.

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Answer:

285.79 N

Explanation:

Mass m of tightrope walker = 74.0 kg

distance of both ends pf rope = 10 m

angle at both ends of the rope = 8.00°

acceleration a of leap = 7.80 \(m/s^{2}\)

Force exerted on the rope due to the acceleration will be,

F = ma

F = 74 x 7.80 = 577.2 N

This force creates a tension that is evenly divided on the ropes from the midpoint, i.e force on each end of the rope = 288.6 N

Tension T = F sin∅

T = 288.6 sin 8.00° = 285.79 N

If the ball is in contact with the wall for 0.011 s, then the average acceleration of the ball while it is in contact with the wall would be  -1116.36 m/s².

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem a tennis ball with a velocity of 7.57 m/s to the right is thrown perpendicularly at a wall. After striking the wall, the ball rebounds in the opposite direction with a velocity of −4.71 m/s to the left.

By using the first equation of the motion,

v = u + at

- 4.71 = 7.57 + a × 0.011

a = - 4.71 - 7.57 / 0.011

a = -1116.36 m/s²

Thus, the acceleration of the tennis ball would be  -1116.36 m/s² .

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The constant acceleration of the train is 0.33 m/s.

The average velocity can be calculated by using the formula:

velocity = distance/time

For the 1st car, the velocity is calculated as:

v₁ = 8.60 m / 1.80 s = 4.78 m / s

For the second car, velocity can be calculated as:

v₂ = 8.60 m / 1.66 s = 5.34 m / s

Now we can solve for the acceleration using the formula:

v₂² = v₁² + 2 a d

Rewriting in terms of a, we get

a = (v₂² – v₁²) / 2 d

a = (5.34)² – (4.78)² / (2 × 8.6)

a = 0.33 m/s

Therefore, the constant acceleration of the train is 0.33m/s.

what is acceleration explain?

acceleration, fee at which speed modifications with time, in terms of each pace and course. A factor or an object shifting in a directly line is improved if it hastens or slows down. motion on a circle is improved even if the velocity is steady, due to the fact the route is constantly converting

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Answer:

Heat energy is transferred from the ground to the atmosphere through the process of convection. Convection occurs when warm air rises, carrying heat energy with it, and cooler air moves in to take its place. This process continues until the air reaches the upper atmosphere, where it cools and sinks, releasing its heat energy into the atmosphere.

Explanation:

Answer:

Through sun's radiation

Explanation:

The sun's radiation strikes the ground, thus warming the rocks. As the rock's temperature rises due to conduction, heat energy is released into the atmosphere, forming a bubble of air which is warmer than the surrounding air. This bubble of air rises into the atmosphere.

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Answer:

Follows are the solution to the given question:

Explanation:

In this question the missing file of the circuit is not be which is defined in attached file please find it.

In Option 1, this statement is true because the current is on \(R_3 \ and \ R_4\), that is the same.

In option 2, this statement is false because \(Rcd=R_3+R_4\) therefore it implies that Rcd is always larger then \(R_3\).

In option 3,  this statement is true because the voltage of \(R_1 \ and \ R_2\) is always equal.

In option 4, this statement is true because \(Rab= \frac{1}{(\frac{1}{R1}+\frac{1}{R2})}=\frac{R1R2}{(R1+R2)}. \frac{R2}{(R1+R2)}\)is always smaller then 1 therefore,\(R_1 \times (\frac{R2}{(R1+R2)})\) is always equal to R1.

The three ways an emf can be induced in the loop are changing the magnetic field, changing the area of the loop and changing the angle between the field and the loop.

Faraday's first law of electromagnetic induction states that whenever a conductor is placed in a varying magnetic field, an electromotive force is induced.

Mathematically, the formula for Faraday's first law is given as;

E = - ( N dФ ) / ( dt )

where;

The three ( 3 ) ways an emf can be induced in the loop is listed below;

To induced an emf in a loop, there must be change in the magnetic flux of the loop.

Mathematically, the formula for magnetic flux is given as;

Ф = BA cosθ

where;

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The initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.

The initial speed of the second ball is calculated as follows;

v = √2gh

v = √(2 x 9.8 x 45)

v = 29.7 m/s

t = √(2h/g)

t = √(2 x 5/9.8)

t = 1.01 s

vf = vi + gt

29.7 = vi + 9.8(1.01)

29.7 = vi + 9.9

vi = 19.8 m/s

Thus, the initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.

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An acidic solution is indicated by values between 0 and 7. A basic answer is indicated by values between 7 and 14. A solution is neutral when its pH value is exactly 7, meaning it is neither acidic nor basic.

By taking into account the reactivity of both the cation and the anion with water, we may determine whether a salt solution will be acidic, basic, or neutral. Water will not react with either species, leaving a neutral solution.

Since phenolphthalein's colour change is easier to see, it is typically preferred. It would be wise to utilize phenolphthalein, which is used and undergoes a sharp change at the equivalency point.

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Values between 0 and 7 suggest an acidic solution. Values between 7 and 14 indicate a basic response. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

We can tell whether a salt solution will be acidic, basic, or neutral by considering how the cation and anion react with water. Both species will not interact with water, leaving a neutral solution.

It is often used because phenolphthalein's color change is simpler to see. It is advisable to use phenolphthalein, which has a strong change at the equivalence point and is widely utilized. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

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Location B which is situated at some distance from the mountain is the best location to build a house because of possible volcanic events.

When building a house a lot of things are taken into consideration to ensure that that the structure will survive for a long time.

In the case of the structures shows in the images in the questions, we can see that location B which gives some distance from the mountain is the best location to build a house because of possible volcanic events.

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The rms voltage measured across the secondary coil is 565.68 V.

The root mean square (RMS) value of an alternating current (AC) or voltage is the equivalent steady direct current (DC) value that produces the same heating effect or power dissipation in a resistor. In other words, it is the DC voltage or current that would produce the same amount of heat as the AC voltage or current over a given time period.

The rms voltage (V_rms) across the secondary coil can be calculated using the formula:

V_rms,secondary = (N_secondary/N_primary) * V_rms,primary

where N_secondary is the number of turns in the secondary coil, N_primary is the number of turns in the primary coil, and V_rms,primary is the rms voltage across the primary coil.

The rms voltage across the primary coil can be found from the given voltage function:

V_rms,primary = (1/√2) * V_peak,primary

where V_peak,primary = 200 V is the peak voltage across the primary coil.

Substituting the values, we get:

V_rms,primary = (1/√2) * 200 V = 141.42 V

Now, using the formula above, we can calculate the rms voltage across the secondary coil:

V_rms,secondary = (700/175) * 141.42 V = 565.68 V

Therefore, the rms voltage measured across the secondary coil is 565.68 V.

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Answer:

The rescue workers can get energy to the batteries in their equipment during rescue missions by using a generator to convert the kinetic energy to potential energy. Potential energy is then stored in the battery.

Explanation:

Answer:

?

Explanation:

Answer:

the way a mineral breaks apart

Explanation:

The way a mineral breaks apart involves fracture and cleavage.

These characteristics are very important in mineral identification especially during physical observations. Minerals have different cleavage properties and fracture planes.

Answer:

A:the way a mineral breaks apart

Explanation:

In soccer, when a foul is committed by a member of the opposing team, the opposing team is awarded various types of kicks depending on the location of the foul.

Goal Kick: A goal kick is awarded to the defending team when the attacking team last touched the ball before it went out of bounds over the goal line, either on the ground or in the air, and not scoring a goal. It is taken from within the defending team's goal area. A goal kick does not result in any points for either team.

Free Kick: A free kick is awarded to the team that was fouled. The location of the free kick depends on the severity and location of the foul. If the foul occurred within the opposing team's penalty area, a penalty kick may be awarded, which is taken from the penalty spot, 12 yards away from the goal line.

The opposing team must be at least 10 yards away from the ball. Points can be scored directly from a free kick if the ball is kicked into the opponent's goal without touching any other player. The number of points scored depends on the rules of the competition but is typically counted as one goal.

Drop Kick: A drop kick is not typically awarded as a result of a foul. It is a type of restart used to begin or resume play after a stoppage, such as a goal being scored or a halftime break. The player drops the ball and kicks it just after it touches the ground. Points can be scored if the ball crosses the opponent's goal line and into the goal.

Corner Kick: A corner kick is awarded to the attacking team when the ball goes out of bounds over the goal line, with the defending team being the last to touch it. The kick is taken from the corner nearest to where the ball went out of play. Points can be scored directly from a corner kick if the ball is kicked into the opponent's goal without touching any other player.

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At the time when the sun pulls on earth should be large so it should be pulled on each other equally.

Here the gravitational force that lies between two masses should be proportional with respect to the product of mass that should be divided via the square of the distance that lies between them. The acceleration should be measured when the force should be divided by the mass. Here the two forces should be equal and opposite

Therefore, the option b is correct.

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When a mass m particle is released onto a smooth inclined plane (where the frictional force F=0), it will glide down the slope.

We resolve in the direction of motion in order to get the particle's sliding acceleration.

F=ma, 

mg cos(90∘−θ)=ma, 

g cos(90∘−θ)=a, 

g sin(θ)=a.

How many Newtons is the net force while the block is travelling at a constant speed?

Zero. Newton's first law of motion states that any object travelling at a constant speed experiences no net external forces, hence the total amount of forces acting on the object must be zero. The mathematical expression for an item being under no net external force is Fnet=0 or F=0.

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Speed of the rocket under uniform circular motion is 4.97 × \(10^7\) m/s.

A fictitious force that moves in a circle and is directed away from the center of the circle is called centrifugal force. When measurements are taken in an inertial frame of reference, the force does not exist. It only becomes relevant when we switch from a ground/inertial reference frame to a rotating reference frame.

As the rocket is in uniform circular motion, the gravitational force due to earth and centrifugal force must be equal in magnitude.

The magnitude of gravitational force due to earth, \(F_G = \frac{G M m}{R^2}\)

And, the magnitude of centrifugal force, \(F_C = \frac{mv^2}{R}\)

Where,

G = universal gravitational constant =   6.67 * 10-11 N (m/kg)².

M = the mass of the earth = 5.97 x \(10^{24\) Kg.

m =  the mass of the rocket = 0.5 x \(10^6\)kg.

R = the orbit of the rocket = \({8*10^6}\)m.

For uniform circular motion,

\(\frac{G M m}{R^2}\) = \(\frac{mv^2}{R}\)

⇒ v² = \(\frac{GM}{R}\)

⇒v² =\(\frac{6.67 * 10^{-11 } *5.97 x 10^{24 } }{8*10^6}\)

⇒ v = 4.97 × \(10^7\) m/s.

Hence, the speed of the rocket is 4.97 × \(10^7\) m/s.

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If the engine of a boat on a river is turned off while the boat is moving with a steady speed, several things would happen Loss of propulsion,Drifting,Loss of steering control and Potential hazards.

Loss of propulsion: Without the engine running, the boat would lose its power source for propulsion. The boat would gradually slow down and eventually come to a stop unless other external forces, such as currents or wind, continue to move it.

Drifting: Once the boat comes to a stop, it would start to drift with the current of the river or be affected by wind forces. The direction and speed of the drift would depend on the strength and direction of the current or wind.

Loss of steering control: When the engine is turned off, the boat's steering mechanism, such as a rudder, would also lose power. Without the ability to steer, the boat would follow the course determined by the river's current or the wind direction.

Potential hazards: Depending on the surroundings and the current conditions, there could be potential hazards for a boat that is no longer under power. These hazards might include other vessels, obstacles, shallow areas, or strong currents. The boat's crew would need to take appropriate actions to ensure the safety of the boat and its occupants.

It's important to note that the specific behavior of the boat after the engine is turned off can vary depending on factors such as the size and design of the boat, the strength and direction of the current, and the presence of wind or other external forces.
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If you transmitted radio signal to the Moon when it is 379,000 km from Earth and waited to receive the echo, you would wait approximately 2.52 seconds.

Radio waves are the type of electromagnetic radiation with longest wavelengths in electromagnetic spectrum, with frequencies of 300 gigahertz and below.

The time it takes for a radio signal to travel from Earth to the Moon and back depends on distance between the two objects and speed of light, which is approximately 299,792,458 meters per second.

So, Time = (2 x distance) / speed of light

distance is the distance between Earth and the Moon, which is approximately 379,000 km or 379,000,000 meters.

Time = (2 x 379,000,000) / 299,792,458

Time = 2.52 seconds

Therefore, if you transmitted a radio signal to the Moon when it is 379,000 km from Earth and waited to receive the echo, you would wait approximately 2.52 seconds.

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Explanation:

See image for definitions....look at the units and fill the blanks appropriatly

a) To find the net charge on the sphere, we first need to find the total area of the surface. The surface area of a sphere is given by:

A = 4πr^2

where r is the radius of the sphere. In this case, the sphere has a diameter of 1.2 m, so the radius is 0.6 m. Therefore, the surface area of the sphere is:

A = 4π(0.6 m)^2 = 4.52 m^2

The total charge on the surface can be found by multiplying the charge density by the surface area:

Q = σA = (8.1 µC/m^2) (4.52 m^2) = 36.6 µC

Therefore, the net charge on the sphere is 36.6 µC.

b) The electric flux emanating from the surface of the sphere can be found using Gauss's Law, which states that the electric flux through any closed surface is proportional to the charge enclosed within the surface.

Since the sphere has a uniform surface charge density, we can assume that the charge is evenly distributed throughout the entire surface. Therefore, we can imagine a hypothetical sphere of radius r < 0.6 m concentric with the original sphere, and use this to find the electric flux through the surface.

The electric field at a distance r from the center of a uniformly charged sphere is given by:

E = kQr / R^3

where k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), Q is the total charge on the sphere, and R is the radius of the sphere. Using the values Q = 36.6 µC and R = 0.6 m, we can solve for the electric field at a radius r:

E = (8.99 x 10^9 Nm^2/C^2)(36.6 x 10^-6 C) / (0.6 m)^3 * r^2

The electric flux through a spherical surface of radius r is given by:

Φ = E A = E 4π r^2

Substituting the expression for E, we get:

Φ = (8.99 x 10^9 Nm^2/C^2)(36.6 x 10^-6 C) / (0.6 m)^3 * 4π r^2

Simplifying and cancelling terms, we get:

Φ = 4.27 x 10^5 Nm^2/C

Therefore, the total electric flux emanating from the surface of the sphere is 4.27 x 10^5 Nm^2/C.

For the game of tug of war to be in equilibrium, the force of each girl must be equal (25 N = 25N).

Equilibrium of forces exist if the size and direction of the forces acting on an object are exactly balanced, then there is no net force acting on the object and the object is said to be in equilibrium.

For a game of tug of war consisting of two girls to be in equilibrium, the force of the girl on the right must be equal to the force of the girl on the left.

Force of girl A = Force of girl B

Example;

If the force exerted by girl A = 25 N, then the force that must be exerted by girl to ensure equilibrium of the forces = 25 N

Thus, for the game of tug of war to be in equilibrium, the force of each girl must be equal (25 N = 25N).

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