Find points that are in phase with point A and B respectively Determine wavelength, T, F and the speed of the wave

(a) The amplitude of the wave is 0.2 m.

(b) The period of the wave is  4 s.

(c) The wavelength of the wave is 100 m.

(a) The amplitude of the wave is the maximum displacement of the wave.

amplitude of the wave = 0.2 m

(b) The period of the wave is the time taken for the wave to make one complete cycle.

period of the wave = 5.5 s - 1.5 s = 4 s

(c) The wavelength of the wave is calculated as follows;

λ = v / f

where;

f = 1/t = 1 / 4s = 0.25 Hz

λ = ( 25 m/s ) / 0.25 Hz

λ = 100 m

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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:

interphase

Explanation:

Answer:

Curvature

Explanation:

Answer:

Explanation:

F = GMm/d²

a_M = F/M = Gm/d²

a₁₅ = 6.674e-11(9.00)/0.50² = 2.40e-9 m/s²

a₉ = 6.674e-11(15.0)/0.50² = 4.00e-9 m/s²

The acceleration of a moving body can be calculated using universal gravitational constant G. The acceleration of point mass of 9 Kg is 2.40×10⁻⁹ m/s² and that for point mass of 15 kg is 4.004 ×10⁻⁹ m/s² .

Acceleration of a body is its rate of change in velocity which have a unit of m/s² and g in terms of gravity. As the velocity change per time increases the acceleration of the body also increases.

The acceleration of a point mass placed at a distance r can be calculated using the gravitational constant G = 6.674×10⁻¹¹ m³/(s² kg) as follows:

a = G × (m/r²).

The acceleration of point mass with 9 kg is then calculated as follows:

acceleration = 6.674×10⁻¹¹ m³/(s² kg) ×  9 kg/(0.5 m)²

                     = 2.40×10⁻⁹ m/s²

The acceleration of point mass with 15 kg is then calculated as follows:

acceleration = 6.674×10⁻¹¹ m³/(s² kg) ×  15 kg/(0.5 m)²

                     = 4.004×10⁻⁹ m/s²

Therefore, the acceleration of point mass of 9 Kg is 2.40×10⁻⁹ m/s² and that for point mass of 15 kg is 4.004 ×10⁻⁹ m/s² .

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Answer:

Explanation:

Let v be the velocity acquired by electron in electric field

V q = 1/2 m v²

V is potential difference applied on charge q , m is mass of charge , v is velocity acquired

2400 x 1.6 x 10⁻¹⁹ = .5 x 9.1 x 10⁻³¹ x v²

v² = 844 x 10¹²

v = 29.05 x 10⁶ m /s

Maximum force will be exerted on moving electron when it moves perpendicular to magnetic field .

Maximum force = Bqv , where B is magnetic field , q is charge on electron and v is velocity of electron

= 1.7 x 1.6 x 10⁻¹⁹ x 29.05 x 10⁶

= 79.02 x 10⁻¹³ N .

Minimum force will be zero when electron moves along the direction of magnetic field .

(a) The maximum force on the  electron due to the magnetic field will be  F= 79.02 x 10⁻¹³ N .

(b) Minimum force will be zero when electron moves along the direction of magnetic field .

Whenever a current is passes through a wire then the magnetic fields are generated around the wire and if any other charged particle comes under the influence of this magnetic field then the magnetic force is applied in the charge.

Let v be the velocity acquired by an electron in electric field

\(Vq=\dfrac{1}{2}mv^2\)

V is potential difference applied on charge q ,

m is mass of charge ,

v is velocity acquired

2400 x 1.6 x 10⁻¹⁹ = .5 x 9.1 x 10⁻³¹ x v²

v² = 844 x 10¹²

v = 29.05 x 10⁶ m /s

Maximum force will be exerted on the moving electron when it moves perpendicular to the magnetic field .

Maximum force = Bqv , where B is magnetic field , q is charge on an electron and v is velocity of electron

F=Bqv

F= 1.7 x 1.6 x 10⁻¹⁹ x 29.05 x 10⁶

F= 79.02 x 10⁻¹³ N .

Minimum force will be zero when electron moves along the direction of magnetic field .

Hence the maximum force on the  electron due to the magnetic field will be  F= 79.02 x 10⁻¹³ N and the Minimum force will be zero when electron moves along the direction of magnetic field .

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Answer:

the answer to your question is false.

Answer:

Explanation: Acceleration due to gravity is the acceleration acquired by an object due to the gravitational force. It is a vector quantity, denoted by g and its SI unit is m ... The mass of the earth is about 6E24 kg and the earth radius (Re) is 6371 km which gives G= 9.8m/s/s as the acceleration constant at earth's surface.  I hope this is helpful :)

Acceleration on a body that approached the earth and comes within 6 earth radii of the earth’s surface is 0.2046 m/s²

Acceleration is rate of change of velocity with respect to time.

i.e. a = dv/dt

if an object changes its velocity in short time, we can say that it has grater acceleration.

a= dv/dt =Δv/Δt =  \(\frac{v_{2}- v_{1} }{t_{2}- t_{1}}\)

where    v₂= initial velocity

             v₁= final velocity

             t₂= initial time

             t₁ = final time  

Acceleration due to gravity is nothing but acceleration produced in the body due to gravitational force. According to second newton's second law, F=ma, force is responsible for the acceleration of the body. it is denoted by g and which is equal to 9.8 m/s². Acceleration due to gravity is affected by the height at which a body is from the surface of the earth.

Acceleration due to gravity at height h is given by,

g(h) = GM ÷ (R+h)²

where

g(h) = acceleration due to gravity at height h.

G = universal gravitational constant.

M = mass of the planet(earth)

R= radius of the planet(earth)

h = height of the object from surface.

Given,

G = 6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²

M = 5.97 × 10²⁴ kg

R = 6.3 × 10⁶ m

h=  6R

g(h) = (6.67 × 10⁻¹¹)×(5.97 × 10²⁴) ÷(R+6R)²

g(h) = 3.98×10¹⁴ ÷ (7×6.3 × 10⁶)²

g(h) = 0.2046 m/s²

Hence acceleration due to gravity of body is 0.2046 m/s²

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The mass of the planet is  5.98 × 10^24 kg.

To calculate the mass of the planet, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the period of revolution of a planet around the sun is directly proportional to the cube of the semi-major axis of its orbit.

First, we need to convert the period of the satellite's orbit to seconds. We know that there are 60 minutes in an hour, so the period can be expressed as (6 × 60 + 12) minutes, which equals 372 minutes. Multiplying this by 60 seconds, we get a period of 22,320 seconds.

Next, we need to find the semi-major axis of the orbit. In a circular orbit, the semi-major axis is equal to the radius of the orbit. Therefore, the semi-major axis is 8.8 × 10^6 m.

Now, we can apply Kepler's Third Law to calculate the mass of the planet. The formula is T^2 = (4π^2/GM) × a^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the planet, and a is the semi-major axis of the orbit.

Rearranging the formula, we can solve for the mass of the planet:
M = (4π^2/G) × a^3 / T^2

Plugging in the values, we get:
M = (4 × π^2 / 6.67430 × 10^-11) × (8.8 × 10^6)^3 / (22,320)^2

Evaluating this expression, we find that the mass of the planet is approximately 5.98 × 10^24 kg.

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Answer:

Speed=distance/time

Explanation:

Speed=distance/time

16)

15/3 meters per second

5 meters per second

17)

100 kilometers=100,000 meters

1 hour=3,600 seconds

100,000/3,600=27.7777 (7 repeating)

About 27.78 meters per second

18)

9 minutes=540 seconds

540+12=552 seconds

2,000/552≈3.62 meters per second

19)

100 kilometers=100,000 meters

45 minutes=2,700 seconds

100,000/2,700=37.037037037 (037 repeating)

About 37.04 meters per second

20)

5k=5,000 meters

20 minutes=1,200 seconds

1,200+36=1,236 seconds

5,000/1,236≈4.05 meters per second

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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It as dangerous to be hit by the gun as by the bullet because of the following;

(A) The butt distributes the recoil force over an area much larger than that of the bullet.

(B) The rifle has a much lower speed than the bullet.

The principle of conservation of linear momentum states that in an isolated system, the total momentum of the system is conserved.

That is the sum of the initial momentum is equal to the sum of the final momentum.

momentum of the gun = momentum of the bullet

Mu = mU

where;

If the forward momentum of a bullet is the same as the backward momentum of the gun, the speed of the gun will be smaller than the speed of the bullet since the mass of the gun is bigger than mass of the bullet.

We cannot conclude on the kinetic energy, since it depends on both mass and velocity.

Finally, the butt distributes the recoil force over an area much larger than that of the bullet, since the butt has a larger surface area and will hit more surface area than the bullet.

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By Newton's second law, the forces acting on the astronaut (the normal force n of the rocket pushing up on the astronaut, and her weight mg pulling her downward) have a net effect of

n - mg = ma

where

m = 88.9 kg

g = 9.80 m/s²

a = 47.2 mi/s² ≈ 75,960 m/s²

Then

n = m (g + a) ≈ 6.75 × 10⁶ N

The following vector components are:

a) A+ B - 84.21°

b) A-B - 18.74°

c) B-A - -84.21°

To use components to find the given vectors, break each vector into its x and y components using trigonometry.

Assume the positive x-axis points to the right and the positive y-axis points up.

For vector A, the magnitude of the x-component is given by Acos(60°) and the magnitude of the y-component is given by Asin(60°),

Ax = Acos(60°) = 2.8 cm × 0.5 = 1.4 cm

Ay = Asin(60°) = 2.8 cm × 0.866 = 2.425 cm

For vector B,  the negative sign since the vector is below the x-axis,

Bx = Bcos(60°) = 1.9 cm × 0.5 = 0.95 cm

By = -Bsin(60°) = -1.9 cm × 0.866 = -1.6494 cm

a) To find A + B, add the x and y components separately:

(A + B)x = Ax + Bx = 1.4 cm + 0.95 cm = 2.35 cm

(A + B)y = Ay + By = 2.425 cm - 1.6494 cm = 0.7756 cm

Then, the vector A + B has a magnitude of √[(2.35 cm)² + (0.7756 cm)²] = 2.466 cm and an angle of tan⁻¹(0.7756 cm / 2.35 cm) = 18.74° above the positive x-axis.

b) To find A - B, subtract the x and y components separately:

(A - B)x = Ax - Bx = 1.4 cm - 0.95 cm = 0.45 cm

(A - B)y = Ay - By = 2.425 cm + 1.6494 cm = 4.0744 cm

Then, the vector A - B has a magnitude of √[(0.45 cm)² + (4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(4.0744 cm / 0.45 cm) = 84.21° above the positive x-axis.

c) To find B - A, subtract the x and y components separately:

(B - A)x = Bx - Ax = 0.95 cm - 1.4 cm = -0.45 cm

(B - A)y = By - Ay = -1.6494 cm - 2.425 cm = -4.0744 cm

Then, the vector B - A has a magnitude of √[(-0.45 cm)² + (-4.0744 cm)²] = 4.091 cm and an angle of tan⁻¹(-4.0744 cm / -0.45 cm) = -84.21° below the positive x-axis.

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Answer:

An object which experiences either a change in the magnitude or the direction of the velocity vector can be said to be accelerating. This explains why an object moving in a circle at constant speed can be said to accelerate - the direction of the velocity changes.

if a car turns a corner at constant speed, it is accelerating because its direction is changing. The quicker you turn, the greater the acceleration. So there is an acceleration when velocity changes either in magnitude (an increase or decrease in speed) or in direction, or both.

Explanation:

The statements that accurately describe sound waves are:

2,3,4,6

1. Sound waves require a medium to transfer energy. Unlike electromagnetic waves, such as light, sound waves cannot propagate through a vacuum. They need a material medium, such as air, water, or solids, to transfer their energy.

2. Sound is heard when a vibration strikes the ear. Sound is a mechanical wave that is produced by vibrations or oscillations of objects. When these vibrations reach our ears, they are detected by the auditory system, which allows us to perceive sound.

3. When particles of a medium interact, part of the wave's energy is lost. Sound waves experience energy losses due to factors like friction, absorption, and scattering. As the wave propagates through a medium, some of its energy is converted into other forms, such as heat, resulting in a decrease in the wave's intensity.

4. A wave's energy can be distinguished from other movements of the medium. Sound waves carry energy in the form of vibrations or oscillations of particles within a medium. These movements are distinct from other random or uncorrelated motions of the medium's particles that do not contribute to the propagation of the sound wave.

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The momentum of the traveling truck is 30000 kgm/s.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

Momentum also can be defined by kinetic energy

KE = 1/2 . m . v²

KE = P² / 2m

where KE is kinetic energy

From the question above, the given parameters are :

m = 1200 kg

v = 25 m/s

By using the momentum formula, we get

P = m . v

P = 1200 . 25

P = 30000 kgm/s

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Answer:

t = 6 minutes

Explanation:

Given that,

Force,\(F=6.8\times 10^5\ N\)

Initial speed of the train, u = 0

Final speed of the train, v = 80 km/h = 22.22 m/s

The mass of the train, \(m=1.1\times 10^7\ kg\)

We need to find the time taken by the train to come to rest. We know that,

F = ma

\(F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{1.1\times10^7\times (22.22-0)}{6.8\times 10^5}\\\\t=359.44\ s\)

or

t = 6 minutes (approx)

So, the required time is equal to 6 minutes.

The best description of a well-designed testable question is "The question is clearly stated, the question can be tested in an experiment, and the results can be measured".

This type of question is the one that focuses on facts and aims at testing a hypothesis.

Some features include:

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Answer:

b

Explanation:

The reaction is in A in vertical direction is W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ).

In terms of psychology, "stress" and "strain" are sometimes used interchangeably in popular culture, as in the expressions "I'm feeling stressed" or "I'm under a lot of pressure."

In engineering, these phrases have specific, technical meanings. If a hook in the steel wire is attached,

If you hang the wire from the ceiling while placing a weight on the lower end, it will sag. By dividing the length change by the starting length, the strain in the wire may be computed.

Thus, as per the given scenario, W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ) will be the equation.

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Answer:

i think its D

Explanation:

Answer:

The highness or lowness of a sound is perceived as pitch. Pitch is a perceptual property of sound that allows us to distinguish between sounds that have the same loudness and duration, but differ in their frequency content. The pitch of a sound is determined by the frequency of the sound wave, with higher frequencies producing higher pitches and lower frequencies producing lower pitches. The pitch is what makes a sound distinguishable and is important in music, language, and communication.

Answer:

If this is Pre-Algebra or Algebra.

Arithmetic mean (average) = Sum of values/Number of values.

Explanation:

The wavelength is given by:

where v is the velocity and f is the frequency. In this case the velocity is that of the light (since we have electromagnetic radiation), and the frequency is 2.5e7, then we have:

Answer:3 N —->

Explanation:

In the case when  the forces act on the car as shown in the picture so here the net force should be 3N.

Since

A parachute in the back of the car is released to help slow down the car.

So here the net force should be

= 10 N - 7N

= 3 N

Hence, In the case when  the forces act on the car as shown in the picture so here the net force should be 3N.

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The word "less" belongs in the blank.

You're letting Physics scare you so stiff that you're afraid to even think about it.  But right now, I'm asking you to do just that . . . turn your brain on and THINK about this question for about 3 seconds:

Here's what the question is asking:  

If you push on a ping-pong ball and a school-bus with the same strength of  force, which one will move away from you faster ?

The difference in these numbers is likely due to the fact that there are a few very highly paid female tennis players who skew the average upwards.

Average is a term used to describe a value that is representative of a set of data. It is calculated by adding up all the values in a set and dividing by the number of values in the set. Average can be used to describe the mean, median, or mode of a set of data. It is often used to average out the highs and lows in a set of data, to give an overall picture of the data set. Average can also be used to compare different sets of data to each other.

The median, however, only takes into account the middle value of the data set, so it doesn't take into account outliers like the highly paid female tennis players. This is why the median is usually considered a better measure of central tendency than the average.

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Answer:

Explanation:

 What are the benefits of 3D design and 3D printing software?

The height of the mountain  is 1002.048 m.

The perpendicular force per unit area, or the stress at a point within a confined fluid, is referred to as pressure in the physical sciences.

Atmospheric pressure is the force of the atmosphere pressing down on each square meter of Earth's surface. Pascals are used to express pressure in SI units; one pascal is equivalent to one newton per square meter.

Given parameters:

at the base of a mountain, the reading of a mercury barometer is = 75.58cm = 0.7558 m.

at the summit  of a mountain, the reading of a mercury barometer is = 66.37cm = 0.6637 m.

Let the height of the mountain = h.

Then,

h × density of air × g = ( 0.7558 - 0.6637) m × density of mercury × g

⇒ h × 1.25kg/m³​ = 0.0921 m × 13600kg/m³

⇒ h = 1002.048 m.

Hence,  the height of the mountain  is 1002.048 m.

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