The intensity of an earthquake wave passing through the Earth is measured to be at a distance of 54 km from the source. (a) What was its intensity when it passed a point only 1.0 km from the source

Answer:

According to Newton's second law of motion, a net force causes the acceleration of mass according to Fnet = ma. For uniform circular motion, the acceleration is centripetal acceleration: a = ac. Therefore, the magnitude of centripetal force, Fc, is F c = m a c F c = m a c .

Explanation:

The cross-sectional area of the lead bar is \(9.188 \times 10^{-4} \ m^2\).

The Young's modulus (E)of lead bar is given as 1.6 x 10¹⁰ Pa.

The cross-sectional area of the bar is calculated as follows;

\(E = \frac{stress}{strain} = \frac{F/A}{e/l} = \frac{Fl}{Ae} \\\\A = \frac{Fl}{Ee}\)

where;

\(A = \frac{(mg) l}{Ee} \\\\A = \frac{(10^3 \times 9.8) \times 3}{1.6 \times 10^{10} \times 2 \times 10^{-3}} \\\\A = 9.188 \times 10^{-4} \ m^2\)

Thus, the cross-sectional area of the lead bar is \(9.188 \times 10^{-4} \ m^2\).

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Answer:

Rapid human population growth has a number of consequences. Population grows fastest in the world's poorest countries. High fertility rates have historically had a strong relation with poverty, and high childhood mortality rates

Explanation:

i got it from goo.gle but i hope that helps:)

have a good day bro

The force on the larger piston of cross-sectional area 230 cm² is 11500 N.

Force can be defined as the product of mass and acceleration.

To calculate the force on the larger piston, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the force on the larger piston is 11500 N.

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The wavelength of the sound is 2.6 x 10⁻³ m.

The wavelength of the sound or distance travelled by the sound wave is calculated by applying the following formula.

v = fλ

λ = v / f

where;

The wavelength of the sound is calculated as follows;

λ = v / f

λ = ( 343 m/s ) / ( 134,000 Hz )

λ = 2.6 x 10⁻³ m

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The maximum height reached by the model rocket is 300.5 metre. (b) Time to reach maximum height is 8.5 seconds and (c) the time for which the model rocket was in air is 17.3 seconds.

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it.

Given:

Initial velocity of the model rocket = 50m/s

Constant acceleration of rocket = 2 u

Height to which acceleration was in account= 150m

First we need to find the final velocity at 150 metres.

We can do so simply by using Newton's third law of motion,

Velocity at 150 metre = under root (2500 + 600)

Velocity at 150 meter = 55.7

Maximum height height reached by the model rocket can be find using the equation for max height.

.i.e. maximum height = u × u/2g + initial distance traveled

maximum height = 55.7×55.7/19.6 + 150

maximum height = 156.5 + 150

Maximum height= 300.5 m

Time taken to reach maximum height = time taken before acceleration stops + time after which acceleration stops

Time taken to reach maximum height = 5.7/2 + 55.7/9.8

Time taken to reach maximum height = 2.85 + 5.7

Time taken to reach maximum height = 8.5 seconds

The rocket will be air for the time = time to reach maximum height + time to fall to the ground

The rocket will be air for the time = 8.5+ 7.8

The rocket will be air for the time = 17.3 seconds.

Therefore, the maximum height reached by the model rocket is 300.5 meter, time to reach maximum height is 8.5 seconds and the time for which the model rocket was in air is 17.3 seconds.

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Answer:

I think you would need too time your friend and know how too divide that time by other racers to see how much faster she needs to get. I THINK.

Fan made of plastic bottle is an innovative way to reuse plastic bottles and can be easily made at home. This can be done by following simple steps, and a few materials are required to make it. The fan can be created by using a plastic bottle, scissors, string, a ruler, and a marker.

First, the bottle needs to be cut into half, and the upper part needs to be cut into three equal sections, then fold each section to make a blade. With the help of a ruler and marker, make a mark on each section, then make a hole in the center of each blade. Insert a string through the holes and tie the ends of the strings. The fan is ready to use by holding the string and swinging it back and forth.

The use of plastic bottle fans can significantly reduce the number of plastic waste and provide a practical solution to avoid environmental pollution. Besides, it is easy to make, and the materials are readily available, which can be used for various occasions, such as picnics, camping, or any outdoor activities.

In conclusion, the creation of a fan made of plastic bottle with string is an excellent way to reuse plastic bottles and can be made with simple steps. This project encourages everyone to contribute to environmental protection by utilizing what is available at home and reducing the number of plastic wastes.

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1 Newton force is equal to the 10⁻⁵ dynes. The unit of force will be dyne and the value of force will be 0.1 dynes.

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration.

Its SI unit is Newton, MKS unit is kgm/s² and CGS unit is dyne.

The given formulae are;

F = k I l

k is a constant with unit=  N A-1 m-1

I is currently measured in mA = 10⁻³A

l is the length measured in mm= 10⁻³ m

F = k I l

F= N A-1 m-1× 10⁻³A×10⁻³ m

F= 10⁻⁶ N                 ( 1N = 10⁻⁵ dyne)

F= 0.1 dyne

Hence the unit of force will be dyne and the value of force will be 0.1 dynes.

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The spring constant is  400 N/m and The mass which would produce an extension of 3.0 cm is 0.0459 kg.

Here we are dealing with a problem related to hook's law which states that the force required to expand or compress a spring by a few distances is corresponding to that distance. This can be expressed scientifically as F= -kx, where F is the force connected to the spring and x is the displacement of the spring, with negative esteem illustrating the displacement of the spring once it is extended; and here k is the spring constant.

For the first case, we are given the force applied which is 20 N, and the extended length which is 5cm =0.05 m,

So the spring constant will be, k= F/x=  20/0.05 = 400 N/m

For the second  case we are given that the spring constant which is 15 N/m  and the extension is 3.0 cm =0.03 m.

Since we know F= mg ( where g is the acceleration due to gravity )

So the hanging mass, will be

=>F= kx

=>mg=kx

=>m=kx/g

      =15 x0.03/9.8

     = 0.0459 kg

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Answer:

in this case the weight of the vehicle does not change , consequently the friction force should not change

Explanation:

The friction force is a macroscopic manifestation of the interactions of the molecules between the two surfaces, this force in the case of solid is expressed by the relation

          fr = μ N

          W-N= 0

          N = W

as in this case the weight of the vehicle does not change nor does the Normal one, consequently the friction force should not change

The rope's tension, the degree of friction factor, and also the mass of crate all affect the crate's acceleration.

Between contacting materials that are sliding or attempting to slide over one another, there's an external force called friction. For illustration, friction makes it challenging to push a book down the floor.

Net force is equal to the sum of the resistive and rope forces.

The applied load is the same as the weight of crate, or mg, with g is the speed from gravity when m is the container's mass because the floor is straight and the object is not moving upwards.

In this case, the amount of contact is given by:

frictional force = y * mg

where y represents the kinetic friction coefficient.

When everything is added, we have:

net force is equal to T-y*mg.

Using Newton ’s second as well:

T-y*mg = ma

where a represents the crate's acceleration.

Solving for a, we get:

a = (T - y * mg) / m

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ANSWER

A. 9600 kg

EXPLANATION

Given:

• The volume of the substance, V = 12m³

• The relative density of the substance, 0.8

• The density of water, 1000 kg/m³

Unknown:

• The mass of the substance, m

The relative density of a substance is defined as,

And the density of a substance is,

Let's solve the first formula for the density of the substance,

Then, solve the second formula for m,

Hence, the mass of this substance is 9600 kg

The kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.

The average kinetic energy (KE) is defined as the one-half of the mass of each gas molecule times multiplied by the square of RMS velocity.

\(\rm {KE = \frac{1}{2} mv^2}\)

where,

KE is the kinetic energy

m is the mass of each molecule

(V)rms is the RMS velocity

According to the law of conservation of energy, kinetic energy gets converted into potential energy. In that case, speed does not play a major role.

When an electron collides with the other electron Its energy gets transferred to the other electrons. The moving electrons get stuck and come to rest.

Hence the kinetic energy of an electron transformed into potential energy when it interacts with other electrons without changing its speed.

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The reaction of load L is 0 (no horizontal force), and the reaction of load R is 10 kN (vertical upward force).

To determine the reactions of the loads L and R, consider the equilibrium of the forces acting on the structure.

First, analyze the vertical equilibrium. The sum of the vertical forces must be zero:

ΣFy = R − 7 kN − 3 kN

ΣFy = 0

This gives:

R = 10kN

Next, analyze the horizontal equilibrium. The sum of the horizontal forces must be zero:

ΣFx = L

ΣFx = 0

This indicates that there is no horizontal force acting on the structure.

Therefore, the reaction of load L is zero (no horizontal force), and the reaction of load R is 10 kN (vertical upward force).

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Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

25.487 km did the scramjet travel during its 11 second test.

Given that the scramjet travels at a speed seven times that of sound, speed v is equal to 7 x 331 m/s or 2317 m/s.

(A) We require the scramjet's travel time over a distance of

       d = 5000 km (5x10^6 m).

Using the formula

time taken = distance traveled/speed,

we can calculate the following:

(5x10^6)/2317 sec

= (5x10^6)/(23175x60) minute

= 5000000/139020 minutes

= 35.97 seconds

As 1 second equals 1/60 of a minute, Therefore, the travel time on Scramjet from San Francisco to New York will be 35.97 minutes.

(B) The distance covered by the Scramjet in 11 seconds must now be determined. as a result,

using speed, distance, and time relation.

Distance = Speed x Time

               = 7  x 331  x 11

                =  25487 m

Since 1 metre equals 1/1000 of a kilometer, 25487 m of 25.487 km

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(a) The mass of the puck is 0.16 kg

(b)  The amplitude of the oscillation is 4.3 cm.

The mass of the puck is calculated by applying the formula for the period of the oscillation.

T = 2π √ ( m /k )

T / 2π = √ ( m /k )

T² / 4π² = m/k

m = k ( T² / 4π² )

where;

The mass of the puck is calculated as;

m = 4.5 ( 1.2² / 4π²)

m = 0.16 kg

The amplitude of the oscillation is calculated as follows;

a = ω²A

where;

ω = √ ( k /m )

ω² = k / m

from this equation "a = ω²A" make amplitude "A" the subject of the formula.

A = a / ω²

A = (a) / (k / m)

A = ( 1.2 ) / ( 4.5 / 0.16)

A = (1.2) / ( 0.03556)

A = 0.043 m = 4.3 cm

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Explanation:

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Answer:

It will take 0.46 seconds to reach home plate by ball.

Explanation:

Explanation:

The sun is what makes the water cycle work. The sun provides what almost everything on Earth needs to go—energy, or heat. Heat causes liquid and frozen water to evaporate into water vapor gas, which rises high in the sky to form clouds... clouds that move over the globe and drop rain and snow.

Answer:

"The sun is what makes the water cycle work. ... Heat causes liquid and frozen water to evaporate into water vapor gas, which rises high in the sky to form clouds... clouds that move over the globe and drop rain and snow. This process is a large part of the water cycle."

Explanation:

The kinetic energy of the flywheel after 1 minute of rotation, given that it has a mass of 50 and radius of 40 cm is 32.4 KJ (Option D)

We'll begin by obtaining the velocity of the flywheel. This is shown below:

v = at

v = 0.6 × 60

v = 36 m/s

Finally, we shall determine the kinetic energy of the flywheel. Details below:

KE = ½mv²

KE = ½ × 50 × 36²

KE = 25 × 1296

KE = 32400 J

Divide by 1000 to express in KJ

KE = 32400 / 1000

KE = 32.4 KJ

Thus, the kinetic energy is 32.4 KJ (Option D)

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The number of turns determines the strength; whether the core is made of soft or hard magnetic material. Soft iron is more easily magnetized than steel. As a result, using a soft core increases the electromagnet's strength.

The magnetic field is mathematically described as a vector field. This vector field can be directly plotted as a grid of many vectors. Each vector points in the same direction as a compass and has a length proportional to the strength of the magnetic force. This technique is demonstrated by arranging many small compasses in a grid pattern and placing the grid in a magnetic field. The only difference is that a compass does not indicate field strength. Field lines are another way to represent the information contained within a vector field. We remove the grid pattern and connect the vectors with smooth lines. We are free to draw as many lines as we want.

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Answer:

cory

Explanation:

Answer: BABY YODA FOR LIFE

Explanation: Because I said so!

According to the question the tension in each wire is 1.96 N.

Tension is a term that describes the psychological and physical state of a person or system in which there is a high degree of stress, uncertainty, and anxiety. It is often associated with conflict and is often experienced when individuals or groups feel threatened or constrained in some way. Tension can be experienced in a variety of different contexts, from interpersonal relationships to the workplace. It can result from a variety of different factors, including a lack of communication, conflicting goals or expectations, and unmet needs.

The body is in equilibrium when the sum of all forces acting on it is equal to zero. In this case, the forces acting on the metal tube are the two wires and the weight of the tube due to gravity.

The tension in each wire is equal to the weight of the tube divided by the length of the tube. This is because the tube is suspended horizontally, so the forces in each wire must be equal in order to keep the tube in equilibrium.

Therefore, the tension in each wire is:

T = (9 kg × 9.8 m/s2) / (5 cm × 0.01 m)

= 1.96 N

Therefore, the tension in each wire is 1.96 N.

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Answer:

h = 16.9 m

Explanation:

When a ball is thrown upward, its velocity gradually decreases, until it stops for a moment, when it reaches the maximum height, while its height increases. Thus, the law conservation of energy states in this case, that:

Kinetic Energy Lost by Ball = Potential Energy Gained by Ball

(0.5)m(Vf² - Vi²) = mgh

h = (0.5)(Vf² - Vi²)/g

where,

Vf = Final Speed of Ball = 0 m/s (Since, ball stops for a moment at highest point)

Vi = Initial Speed of Ball = 18.2 m/s

g = acceleration due to gravity = - 9.8 m/s² ( negative for upward motion)

h = maximum height the ball can reach = ?

Therefore, using values in the equation, we get:

h = (0.5)[(0 m/s)² - (18.2 m/s)²]/(-9.8 m/s²)

h = 16.9 m