consider the previous problem involving the velocity addition law. let us pose a more general problem with a series of observers in a line: suppose one observer sees a second observer moving away from them at a speed . the second observer sees a third moving away from her in the same direction at . similarly, the third observer sees a fourth moving away from him, and so on up to some large number n. what is the speed of the n-th observer relative to the first observer?

The time difference between the arrival of the sound at the two friends is 27.4 milliseconds

In getting the difference between the arrival of the sound at the two friends, we first find the following:

Speed of sound at [tex]26.1^{o} C[/tex](v1):

[tex]v1=331*\sqrt{\frac{26.1+273K}{273K} }[/tex]

v1=346.5m/s

Speed of sound at [tex]-22.2^{o} C[/tex](v2):

[tex]v2=331*\sqrt{\frac{-22.2+273K}{273K} }[/tex]

v2=317.3m/s

The time difference:

Change in time, Δt=(d/v2)-(d/v1), where d=103m

Change in time=(103/317.3)-(103/346.5)

                      Δt=27.4ms

Change in time=27.4milliseconds

The question was incomplete, complete question is given below:

If the air inside the warehouse is at a warm 26.1​*​​C while the outside air is a chilly -22.2​*​​C, and each friend is standing 103 meters from the person in the doorway, then what is the time difference between the arrival of the sound at the two friends? Give your answer as a positive value in milliseconds

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Answer:

7.06663336 kg

Explanation

to get the mass of an object divide the force of gravity(9.8) from the weight (in this case, 69.3 N) to get 7.06663336 kg. Or round it (if it's okay with your teacher) and get 7.07 or 7.1 kg

The average velocity is 10m/s.

How to slove the average velocity?

It travels for 5 sec at 15m/s

            distance = speed x time

                            = 15 x 5

                            = 75 m

then, travels for 100 m at 8m/s

                     time = distance/time

                              = 100/8

                              = 12.5 sec

Average velocity= total distance travelled/ total time taken

                            = 100+75/5+12.5

                            = 175/17.5

                            = 10 m/s

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The mass of the objects in kilograms could be obtained as;  100 Kg and  16.3 Kg.

The term weight has to do with the effect of the gravitational force on an object hat is found on the surface of the earth. Note that the weight is a force an d the direction of the weight must always be towards the center of the earth.

Now we are asked to convert 981N and 160N to kilograms. Recall that the weight is the product of the mass of the object in kilograms to the acceleration due to gravity.

Mass = weight/acceleration due to gravity

1)  981N/9.8 m/s^2

= 100 Kg

2) 160N/9.8 m/s^2

= 16.3 Kg

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The value of the acceleration at the given speed is  0.26333 m/s²

Acceleration is the price of the alternate speed of an object with admire to time. Accelerations are vector quantities. The orientation of an item's acceleration is given via the orientation of the net force appearing on that item.

Acceleration is the rate at which pace adjustments with time, in phrases of both velocity and path. A point or an item shifting in a direct line is extended if it accelerates or slows down. movement on a circle is extended despite the fact that the rate is constant because the route is usually changing.

Given,

mass of car = 2 tones

                    = 2000 kg

power transfer of wheel = efficiency × bp

P = 0.9 × 57000

P = 51300 W

Acceleration:-

Net force = mass × acceleration

2000 × a = F - ( Fr - Fg)

2000a = 1670.0418 - ( 360v+ 783.37)

Acceleration =  0.26333 m/s²

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Answer:

Force:

F = 3130 N

Explanation:

Given:

m = 1500 kg

V₀ = 5 m/s

V = 25 m/s

Δt = 10.0 s

μ = 0.009

g = 9.8 m/s²

___________

F - ?

1)

Car acceleration:

a = (V - V₀) / Δt = (25 - 5) / 10.0 = 2 m/s²

2)

Friction force:

F₁ = μ*m*g

3)

According to Newton's second law:

m*a  = F - F₁

Force:

F = m*a + F₁

F = m*a + μ*m*g

F = m*( a + μ*g) = 1500*(2 + 0.009*9.8) ≈ 3130 N

The final velocity of the ball moving initially with a velocity of 4 m/s across a 1.8 meter high table when it hits the floor is 5.94 m / s

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance

In vertical motion,

u = 0

s = 1.8 m

a = 9.8 m / s²

v² = 0 + ( 2 * 9.8 * 1.8 )

v² = 35.28

v = 5.94 m / s

The equation used above is an equation of motion. There are 5 equations of motion.

Therefore, the final velocity of the ball is 5.94 m / s

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The force of a magentic field is given by the next formula

We have F force, I current, B magnetic field, L lenght and sin theta which represents the angle between them. This is important because this interactions depends on the direction.

Based on the information, the angle is 90 because is perpendicular, as it is mentioned on the text

The hawk’s centripetal acceleration is 2.23 m/s²

The magnitude of the acceleration under new conditions is 2.316 m/s²

radius of the horizontal arc = 10.3 m

the initial constant speed = 4.8 m/s

we know that the centripetal acceleration is given by

    [tex]a_{c}[/tex]  = [tex]\frac{v^{2} }{r}[/tex]

   [tex]a_{c}[/tex]  = 23.04/10.3

    [tex]a_{c}[/tex]  = 2.23 m/s²

It continues to fly but now with some tangential acceleration

[tex]a_{t}[/tex] = 0.63 m/s²

therefore the net value of acceleration is given by the resultant of the centripetal acceleration and the tangential acceleration

so

[tex]a_{net}[/tex]  =  [tex]\sqrt{a_{c} ^{2} +a_{t} ^{2} }[/tex]

[tex]a_{net}[/tex]  =  [tex]\sqrt{4.97 + 0.396}[/tex]

[tex]a_{net}[/tex]  =  2.316 m/s²

So the magnitude of  net acceleration will become 2.316 m/s².

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A person with moment of inertia i is spinning at an angular velocity ω. At some point in time he moves his arm position such that his moment of inertia changes to 2i.  the rotational kinetic energy k of the person after the change, in terms of his initial rotational kinetic energy is 1/4 .

The moment of inertia of a rigid body, also referred to as the mass moment of inertia, angular mass, second moment of mass, or more precisely, rotational inertia, is a property that establishes the torque required for the desired angular acceleration about a rotational axis, much like mass establishes the force required for the desired acceleration. The amount of torque required to modify the body's rate of rotation depends on the mass distribution of the body and the axis selected. For example, larger moments require more torque.

The moment of inertia for a point mass is equal to the mass squared by the perpendicular distance from the axis of rotation. This is an extensive (additive) property.

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Mass x Acceleration equals force. Net force is equal to 7N plus 10N, or 17N, at a 60-degree angle with R equal to 12.2N.

The definition of force in physics is: The push and pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A force is an effect that tends to move a stationary object into motion, stop a moving object, alter the direction and speed of a moving object, or alter the size and shape of a body.

Any of the four fundamental forces in physics—gravitational, electromagnetism, strong, and weak—that control how objects and particles interact as well as how some particles decay—is referred to as a fundamental force or fundamental interaction.

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The phrase "energy that a ball has and produces as it rolls down a hill"  is an example of kinetic energy.

Kinetic energy is a type of energy that a particle or an object possesses as a result of its motion. By exerting a net force on an object, work is done, which transfers energy; as a result, the object accelerates and gains kinetic energy.

A moving object or particle's ability to move depends on both its mass and motion. This is known as kinetic energy. Translation (or movement along a path from one place to another), rotation about an axis, vibration, or any combination of motions are examples of possible types of motion.

A body's squared translational kinetic energy, or 1/2mv², is equal to one-half the product of its mass, m, and its velocity, v.

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Answer:

Accelerate according to the applied force.

Explanation:

According to Newton's second law of motion, a force applied on a body produces acceleration in its own direction. Therefore, if you hit a baseball with a bat it will accelerate according to the applied force.

Answer:

Explanation:

Given:

m -  Baseball mass

F - Force applied from the side of the bat to the baseball

_________________________

a - ?

2 Newton's law:

a = F / m

Correct answer:

Accelerate according to the applied force

Answer:

slow twitch fibers

Explanation:

Slow twitch fibers can maintain a force for a longer period of time than fast twitch fibers

The initial velocity of the car with the mass of 3000kg before the inelastic collision is 1.347m/s.

For two objects, the relative speed between them equals the change in distance between them divided by the change in time.

In an inelastic collision, the momentum of the bodies remain constant even after collision. This works on the principle of conservation of momentum.

p = m.v

where, p = momentum of the body,

m = mass of the body,

v = velocity of the body

Here,

m₁. u₁ + m₂. u₂ = m₁. v₁ + m₂. v₂

Therefore, the velocity of 3000kg car (m₂) can be calculated by this formula:

m₁ = 2100 kg

u₁ = 10m/s

m₂ = 3000kg

u₂ = ?

v₁ = v₂ = 4.91 m/s

Therefore,

m₁. u₁ + m₂. u₂ = m₁. v₁ + m₂. v₂

(2100kg × 10) + (3000 × u₂) = (2100 × 4.91) + (3000 ×4.91)

21000 + 3000u₂ = 10,311 + 14730

3000u₂ = (10311+14730) - 21000

3000u₂ = 25041 - 21000

3000u₂ = 4041

u₂ = 4041/3000

u₂ = 1.347m/s

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The angle between them is 90°

A = √(1^2 + 1^2) = √2

B = √(1^2 + 1^2) = √2

The magnitude of both vectors is √2

Dot product

A.B = (i + j) . (i - j)

A.B = 1 - 1 = 0

The dot product of two vectors is equal to ABCosx

A.B = ABCosx

0 = √2 × √2 × Cosx

0 = Cosx

∴ x = 90°

The angle between them is 90°

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles formed by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.

The angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.

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Mechanical energy can be described as a sum of kinetic and potential energy in an object that is used to do work

In the field of physics, we can describe mechanical energy that is either stored in an object at the time of rest or the energy of an object that is in a particular motion. As kinetic energy is the motion or movement energy and potential energy is the stored energy at rest, hence mechanical energy is the sum of both these energies.

In other words, we can also describe mechanical energy as an energy that is contained in a particular object that allows it to perform a specific work. It depends on the mechanical energy of an object to determine the amount of work it can do.

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Answer:

mechanical energy or A

Explanation:

Hope this helps

Speed is a scalar quantity which only has magnitude but lack of direction. Speed is the distance that an object travels divided by the time it takes. Therefore we can mathematically express as:

[tex]\displaystyle v=\dfrac{s}{t}[/tex]

Where v is speed, s is distance and t is time. From the problem, we are given the distance equal 900 meters and time it takes is 10.2 seconds. Therefore substitute s = 900 meters and t = 10.2 seconds.

[tex]\displaystyle{v=\dfrac{900 \ \, \sf{meters}}{10.2 \ \, \sf{seconds}}}\\\\\displaystyle{v=88.24 \ \, \sf{m/s}}[/tex]

Therefore, the speed of rocket is 88.24 m/s or 90 m/s when rounding to one significant figure.

The train was moving with a velocity of 342.5 m/s when it started to slow down

From the question given above, the following data were obtained:

Considering the above data, we can obtain the initial velocity of the train as follow:

v = u + at

0 = u + (-2.5 × 137)

0 = u - 342.5

Collect like terms

u = 0 + 342.5

u = 342.5 m/s

Thus, from the above calculation, we can say that the train was moving with a velocity of 342.5 m/s

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Uniform line movement

Data:

t = ?

d = 5 mt

V = 15 m/s

The rectilinear movement formula:

     V = d/t

We clear for time t:

     t = d/v

     t = (15 m)/(5 m/s)

     t = 3 s

Answer: The dog takes 3 seconds to travel 15 meters ✅.

The MRU is defined as the movement in which an object moves in a straight line, in a single direction, covering equal distances in the same time interval, maintaining a constant speed and no acceleration throughout its movement.

His formula for uniform rectilinear motion is as follows:

We first apply the data to the problem.

Once having the data Now we will find the time.

So the result of the problem is 3 seconds.

Happy 2023.

The information which would be considered in deciding what should be done in restoring everglades is the cost, terrain and environmental effects.

This is referred to a natural region of tropical wetlands which can be found in the southern region of the U.S. state of Florida. It is home to a lot of organisms ranging from plants to animals which ensures that they survive the various conditions due to the availability of nutrients etc.

The information which would be considered in deciding what should be done in restoring everglades is the cost as a cheap reliable method is preferable and also the effect on the environment as a whole.

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Answer:

See below

Explanation:

d istance = 1/2 a t ^2

  100        = 1/2 (a) 2^2      solves for a = 50 ft/s^2

F = ma

  = (200+ 155) ( 50) =  17750   lb ft/ s^2     ( this is 2454 N )

The force must the ejector seat launch with to meet these requirements is 17750   lb ft/ s².

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given that distance = 1/2 a t²

100        = 1/2 (a) 2²     solves for a = 50 ft/s²

 F = ma

 F = (200+ 155) ( 50) =  17750   lb ft/ s²    ( this is 2454 N )

The force must the ejector seat launch with to meet these requirements is 17750   lb ft/ s².

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If a skydiver jumps out of a plane and is in freefall, then his acceleration would be 9.8 meters / second².

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem statement if a skydiver jumps out of a plane and is in freefall, the acceleration due to gravity would be 9.8 meters / second².

Thus, if a skydiver jumps out of a plane and is in freefall, then its acceleration due to gravity would be 9.8 meters / second².

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Heat budget is the balance between incoming solar radiation and outgoing terrestrial radiation.

What is the heat budget?

A heat budget represents a perfect balance between incoming heat (insolation) absorbed by the earth and outgoing heat (terrestrial radiation) departing it as radiation. If incoming and leaving heat is not in equilibrium, the Earth will either become too warm or too cold.

The sun is the primary source of energy that sustains life on earth. At the surface of the earth, solar energy arrives in the form of short-wave solar radiation. Through the process of absorption, this energy is then transformed into heat. In the form of long-wave terrestrial radiation, the earth returns the same quantity of energy to space as it receives from space. The term "heat budget" refers to the equilibrium that must be maintained between the quantity of insolation the earth receives from the sun and the amount of radiation it emits into space.

Hence, on the basis of the physical principle of energy conservation, this radiation budget accounts for the balance between incoming and outgoing radiation.

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9V and 12V are the  voltage of the battery respectively.

[tex]v_1=q/c=27 \mu c/3.00 \mu F=9v[/tex]

[tex]v_2=36.0 \mu c/3.00 \mu F=12V[/tex]

The electric potential difference per unit charge between two places in an electric field is referred to as voltage (also known as electric potential difference, electromotive force, electric pressure, or electric tension). The letters "V" or "E" are used to represent voltage in calculations and other mathematical contexts.

Voltage is the amount of effort needed to transport a unit of charge between two places in a static electric field. The voltage is the difference in potential energy between two places in a circuit, according to our definition. The potential of one point is higher than that of the other points. Voltage or potential difference refers to the difference in charge between higher and lower potentials.

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The spring was compressed by 0.684 m

Soring constant, k = 4.75

The applied force, F = 3.25 N

Note that spring will compress back by the same distance it expands

Compression, x = ?

Using the equation F = kx

3.25 = 4.75x

x = 3.25/4.75

x = 0.684 m

The spring was compressed by 0.684 m

A. 1.65 x 10^-10 m

The relationship between the speed(v), frequency(f), and wavelength(λ) of an electromagnetic wave is given as:

v = λf

From the question:

Substituting the values of v and f into the equation v = λf

Therefore, the wavelength of the electromagnetic wave is 1.65 x 10^-10 m

The average velocity of Iguana is -2.55m/s when it crawls from 5m to -18m in 9 seconds.

Average velocity of a body is defined as the total displacement divided by the total time taken by the body.

Here, initial position of iguana is 5m and the final position of the iguana is -18m.

Total displacement D is,

D = final position - initial position.

D = -18-5

D = -23m

Total time taken by the iguana is 9.0 seconds.

Average velocity(V) = total displacement/total time taken.

Putting values,

V = -23/9

V = -2.55m/s.

So, the average velocity of the iguana is -2.55m/s.

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The reducing agent in the reaction is Sodium and the oxidizing agent in the reaction is oxygen.

The provided chemical reaction is,

4Na+O₂ → 2Na₂O

Oxidation is the process of addition of oxygen or the removal of electrons from the product. Oxidation number increases in this case. Compound which undergoes reduction is called oxidizing agent.

Reduction is the process of removal of oxygen or the addition of electrons from the product. Oxidation number decreases in this case. compound which undergoes oxidation is called reducing agent.

In the reaction,

Oxygen is added to Na. So, Na is oxidized, hence it is the reducing agent and Oxygen is getting reduced, so, it is the oxidizing agent.

Reducing agent → Na.

Oxidizing agent → O₂.

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