Prove the correctness of RSA. You can refer to the content on pages 178 and 179. Basically, you need to consider two cases, gcd (x, n) = 1 and gcd (x,n) is not equal to 1. For the 2nd case, you need to use x = s.q for proof (The textbook uses x = r.p)

The number of pascal equivalent to 1 inch of mercury is 3386.53 pascal

From the question given above, we were told that:

29.92 inches of mercury = 1 atm

101325 pascal = 1 atm

Thus,

29.92 inches of mercury = 101325 pascal

29.92 inches of mercury = 101325 pascal

Therefore,

1 inches of mercury = 101325 / 29.92

Thus, the number of pascal equivalent to 1 inch of mercury is 3386.53 pascal

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Answer:

substances have different melting and boiling points to one another.

Explanation:

Explanation:

Each substance will have a different mass, so when the amount of heat and the change in temperature are held constant, the only variable is the mass. Therefore, because mass is the only variable, so because substances have different masses, they will have different specific heats.

The distance travelled by the block of mass m will be l₀ + x or d which can be calculated through implementing the Conservation of energy from Work energy theorem

For  l₀ + x, (from figure)

sinᶿ = h / (l₀+x) ----- equation 1

We know from conservation of energy,

Ka + Ua = Kc + Uc

Here

Ka = kinetic energy at point A

Ua = potential energy at point A

Kc = kinetic energy at point C

Uc = potential energy at point C

Since the block is at rest Ka = 0 & block comes to rest after moving Kc = 0 as well

Therefore Ua = Uc

Ua = m.g.h

Uc = ½ kx²

m.g.h = ½ kx²

h = kx²/2mg ---- equation 2

Substitute the obtained value of h i.e. equation 2 in equation 1 for calculation of distance travelled by the block on an inclined plane.

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Answer:

d = (2mg sinθ) / k

Explanation:

We can use the conservation of energy.

At the point when the block comes to rest, all of its initial potential energy mgh is converted into the potential energy stored in the spring (1/2)kx², where x is the amount by which the spring is compressed.

Using trigonometry, we can see that the height h of the incline is equal to

d sinθ

where d is the distance traveled by the block down the incline.

We know this because d represents an incline and to find the y value of an incline we use sinθ

Therefore, we can write:

mgh = (1/2)kx²

Substituting h = d sinθ and solving for d, we get:

mgd sinθ = (1/2)kd²

d = (2mgsinθ)/k

Therefore, the correct answer for the distance that the block slides down the incline before coming momentarily to rest is (2mg sinθ)/k.

I hope this helped! :)

The correct answer is D. Amount of time and area of physical contact between the substances.

Explanation:

Heat transfer refers to the flow of thermal energy or heat between two or more objects. This process involves multiple factors and implies heat from the hottest object goes to the coldest one until there is an equilibrium. To begin, heat transfer depends on the amount of thermal energy in the objects because objects must have a different amount of thermal energy for heat to flow.

Besides this, the amount of energy that flows depends on the time and the contact between the substances of objects. Indeed, objects need to be in contact or close to each other for heat to transfer, and the time needs to be enough for the process to occur. For example, if you place a pot over the fire just for a few seconds it is likely the heat transferred is minimal, which does not occur if you leave the pot more time. At the same time if the pot is in close contact with fire more heat will be transferred.-

Answer:

the answer is D on edginuity.

Explanation:

Answer:

When you put un-like poles together (South facing North) you can feel magnetic attraction. In the Northern Hemisphere, your compass needle points North, but if you think about it for a moment, you will discover that the magnetic pole in the Earth's Northern Hemisphere has to be a South polarity.

Thus, the maximum height of the ball thrown on the moon will be six times greater than the maximum height of the identical ball thrown on Earth, assuming the same total time of flight and ignoring the effects of Earth's atmosphere.

Assuming the same total time of flight for both balls, the difference between the maximum height of the ball thrown on the moon (hm) and the maximum height of an identical ball thrown on the earth (he) can be attributed to the difference in gravitational forces.

The gravitational force on the moon is approximately 1/6th of that on Earth.

Since the vertical motion of the balls is affected by gravity, the height (h) is proportional to the initial vertical velocity (v) squared divided by twice the gravitational acceleration (g): h = (v^2) / (2g).

Given the same initial vertical velocity for both balls, the difference in height can be found by comparing their respective gravitational accelerations:

hm = (v^2) / (2 * (g/6)) and he = (v^2) / (2 * g)

The difference in maximum height can be represented as:

hm - he = (v^2) / (2 * (g/6)) - (v^2) / (2 * g)

To further simplify and find the ratio of maximum heights on the moon and Earth, divide hm by he:
hm / he = [(v^2) / (2 * (g/6))] / [(v^2) / (2 * g)] = 6/1

Therefore, the maximum height of the ball thrown on the moon will be six times greater than the maximum height of the identical ball thrown on Earth.

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Answer:

it is becuase light travel faster then sound thus light come to us first

Explanation:

to dlatego, że światło podróżuje szybciej niż dźwięk, to światło dociera do nas jako pierwsze

Answer:

The gradient of the graph is the mass of the object.

Explanation:

In a force-accleration graph, you are plotting force against acceleration. And from the formula for Force; F = ma

Make the mass subject of the formula; u'll get m = F/a. meaning that to get the mass of the object u have to find the gradient of the force-accleration graph.

Answer:

\(f = ma\)

Explanation:

where m is the inertial mass of the object. This equation indicates that a graph of acceleration vs force should be a straight line.

Answer:

the current is 3.5 A

Explanation:

The computation of the current is shown below:

As we know that

Current [A] = Electrical power [W] ÷ Potential difference [V]

Now convert KW TO W = × 1000

So, the current is

= 800W ÷ 230V

= 3.5 A

Hence, the current is 3.5 A

Answer: The answer to 3 to is less inertia. The answer to 4 is large amount of inertia. The answer to 5 is large amount of inertia. The answer to 6 is more fuel. Number 6 is kind of unkown considering I can’t see the other answer but I guess it’s more fuel.

Explanation: Inertia is the resistance of the object to any change in its motion, including a change in direction. An object will stay still or keep moving at the same speed and in a straight line, unless it is acted upon by an external unbalanced force. So when there is more inertia, it’s harder to control, but when it has less inertia, it’s more loose and easier to move around.

Answer:

5 cm

Explanation:

Answer:

60 J of heat are released from the system: Q=-60 J

20 J of work is done on the system: W=-20 J

∆U=Q-W

∆U=-60-(-20)

∆U=-40 J

Explanation:

If the heat is released from the system, Q should be negative.

If the heat is gained by the system, Q should be positive.

If the work is done on the system, W should be negative.

If the work is done by the system, W should be positive.

Answer:

\(V_{2.2} =2.2V\)

Fast and loose: that's a classic voltage divider. the drop from the i-th resistor is \(R_i \over {\sum R}\) of the drop across the whole series. In our situation, it's \(2.2\cdot 10^3 \over {2.2\cdot10^3 + 6.8\cdot 10^3\) of 9 V. By plugging numbers in a calculator, it's 22/90 of 9V, or 2.2V

With Ohm's Law

The series is equivalent of a single resistor of Resistance \(2.2\cdot 10^3+6.8\cdot 10^3 \Omega = 9.0 k\Omega\). By Ohm's first Law (\(V=Ri\)) the current flowing through the resistor is \(9V = 9*10^3\Omega i \rightarrow i=1mA\). At this point, the drop across the first resistor is, again by Ohm's law\(V = 2.2 \cdot 10^3 \Omega \cdot 1\cdot 10^{-3} A = 2.2V\)

SinФ = w/l

SinФ = 4.33 / 5.0

Ф = arcsin 4.33/5.0

Ф = 59.99 degrees

Round to 60 degrees

Scientific sociology is one of the three methods of sociological investigation that fits the topic the best.

It is possible to define sociology as the scientific study of society, which includes a complete analysis of both internal and external elements that can have an impact on social structures and interaction patterns.

It should be noted that while the sociology field is very broad and full of opportunities that are required to complete the study that is being discussed in the work, this study focuses on social interaction and culture, which help to determine the things that can be used to learn more about the society.

In conclusion, of the three methods of sociological inquiry, scientific sociology is the most effective for the study of society.

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Answer:

v = 3.24 m/s

Explanation:

Since we don't have time, we can use the formula;

(Final distance - initial distance)/time = (initial velocity + final velocity)/2

Thus;

(x_f - x_i)/t = ½(v_xi + v_xf)

We are given;

x_i = 0 m

x_f = 5 m

v_xi = 0 m/s

v_xf = 5 m/s

Thus, plugging in the relevant values;

(5 - 0)/t = (0 + 5)/2

5/t = 5/2

t = 2 s

Using Newton's first law of motion, we can find the acceleration.

v = u + at

Applying to this question;

5 = 0 + a(2)

5 = 2a

a = 5/2

a = 2.5 m/s²

To get the speed, in m/s, of the block when it had traveled only 2.1 m from the top, we will use the formula;

v² = u² + 2as

v² = 0² + 2(2.5 × 2.1)

v² = 10.5

v = √10.5

v = 3.24 m/s

His final velocity at the end of the 2.6 seconds will be  25.48 m/s

given

time = 2.6 seconds

initial velocity = u = 0

acceleration = acceleration due to gravity = 9.8 \(m/s^{2}\)  (since , it is a free fall )

final velocity = ?

using kinematics equation

v = u + at

v = u - g*t

v = - 9.8 * 2.6 = - 25.48 m/s

His final velocity at the end of the 2.6 seconds will be  25.48 m/s in downward direction

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To find frequency, you need to know the number of cycles or oscillations that occur in a given unit of time. This can be expressed as Hertz (Hz), which is the number of cycles per second.

The frequency of a wave can be determined by several methods, including:

Counting the number of cycles in a given time interval: This method involves counting the number of complete cycles of a wave in a specific time interval, such as one second, and dividing that number by the time interval.

Measuring the time it takes for one cycle: This method involves measuring the time it takes for one complete cycle of a wave, and then converting this time into frequency by dividing 1 by the time interval.

Using a spectrophotometer or frequency analyzer: This method involves using specialized equipment to measure the frequency of a wave by analyzing the wave's spectral components.

Once you have determined the frequency, you can use it to calculate other properties of wave, such as its wavelength, velocity, and energy. It's important to note that frequency is proportional to the velocity of the wave, and it is also an important parameter in understanding the behavior of many physical systems, such as sound waves, electromagnetic waves, and vibrations.

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(3) Knowing an object’s position requires which of the following displacement ( option C).

(4) Two people are pulling on a chain in opposite directions with forces of 500 N and 600 N. The forces would best be described as unbalanced forces ( option B).

(5) The reference point can change when describing motion. It is just the chosen starting point (option C ).

(6) Which of the following is NOT true of gravitational force, depends on speed ( option C ).

The displacement of an object is the change in the position of the object, obtained from the difference between the object's final position and initial position.

When two people pulling on a chain in opposite directions with forces of 500 N and 600 N, the forces would best be described as unbalanced forces because 600 N is greater than 500 N.

A reference point is a place or object used for comparison to determine if something is in motion. When describing motion, the reference point can change to show  the motion of the object.

Gravitational force is a non contact force between objects placed on Earth surface. Gravitational force depends on mass of the objects, and the distance between the objects.

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At time t = 15/16, the object reaches a state of zero velocity, indicating a momentary pause in its motion. Prior to this time, the object moves in one direction, while after this time, it changes direction and moves in the opposite direction. The value t = 15/16 represents the specific moment when the object transitions from one direction to another and experiences a brief period of rest.

To find the velocity v(t) of the object at any time t, we differentiate the given distance function s(t) = 9 - 15t + 8t² with respect to time:

v(t) = d/dt (9 - 15t + 8t²)

Applying the power rule of differentiation, we obtain:

v(t) = -15 + 16t

Therefore, the velocity v(t) of the object at any time t is given by v(t) = -15 + 16t.

To determine when the object is at rest, we set the velocity v(t) equal to zero and solve for t:

-15 + 16t = 0

Adding 15 to both sides of the equation, we have:

16t = 15

Finally, dividing both sides by 16, we find

t = 15/16

Hence, the object is at rest when t = 15/16.

This means that at time t = 15/16, the object's velocity is zero, indicating that it is momentarily stationary. Before this time, the object is moving in one direction, and after this time, it is moving in the opposite direction. The value t = 15/16 represents the specific point in time when the direction of motion changes, and the object is at rest for an instant.

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A. The total force acting on the plane during take-off is 563,140 N. This is calculated by multiplying the thrust of each engine (281,570 N) by the number of engines (2).

An engine is an mechanical device that converts energy into useful work, typically in the form of rotational force. Engines are used in a variety of applications, from cars and airplanes to power plants and generators.

b. The acceleration the plane experiences during take-off can be calculated using Newton's Second Law of Motion, which states that Force = Mass x Acceleration. Therefore, the acceleration is 563,140 N / 369,000 kg = 1.53 m/s2.
c. To calculate the time it takes the plane to reach take-off speeds, we can use the kinematic equation for average acceleration, which states that the time taken is equal to the change in velocity (76 m/s) divided by the acceleration (1.53 m/s2). Therefore, the time taken is 49.8 seconds.
d. Using the kinematic equation for displacement, we can calculate the displacement the plane covers during take-off. This equation states that displacement is equal to the initial velocity (0 m/s) multiplied by the time taken (49.8 seconds) plus one-half of the acceleration (1.53 m/s2) multiplied by the time taken squared (49.8 seconds x 49.8 seconds). Therefore, the displacement is 3,814.7 m.

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Kinetic energy depends on the mass and the motion

XO

also i ate a apple

The final speeds of the spheres are 3.47 m/s and 3.08 m/s.

We can use conservation of momentum to solve this problem since there are no external forces acting on the system.

The initial momentum of the system is:

p_initial = m₁ * v₁ + m₂ * v₂

where m₁ and m₂ are the masses of the spheres, and v₁ and v₂ are their initial velocities (4.00 m/s and 0 m/s, respectively).

After the collision, the momentum of the system is:

p_final = m₁ * v1' + m₂ * v₂'

where v₁' and v₂' are the final velocities of the spheres. We also know that the angle between the first sphere's final path and its initial path is 60 degrees, which means that the angle between the two spheres after the collision is 150 degrees (90 + 60).

Using conservation of momentum, we can set the initial and final momenta equal to each other:

m₁ * v₁ + m₂ * v₂ = m₁ * v₁' + m₂ * v₂'

We can also break down the final velocities into their x and y components using trigonometry. Let's define the angle between the first sphere's final path and the x-axis as theta. Now we can use conservation of momentum to solve for the final velocities:

m₁ * v₁ + m₂ * v₂ = m₁ * v₁' * cos(theta) + m₂ * v₂' * cos(150 degrees)

0 = m₁ * v₁' * sin(theta) + m₂ * v₂' * sin(150 degrees)

Solving the first equation for v₂', we get:

v₂' = (m₁ * v₁ + m₂ * v₂ - m₁ * v₁' * cos(theta)) / (m₂ * cos(150 degrees))

Substituting this expression into the second equation and solving for v₁', we get:

v₁' = (m₂ * sin(150 degrees) * v₁ + m₂ * sin(150 degrees) * v₂ + m₁ * sin(theta) * v₁' - m₁ * sin(theta) * m₂ * v₁ * cos(theta) / cos(150 degrees)) / (m₁ * sin(theta))

Plugging in the given values and solving, we get:

v₁' = 3.47 m/s

v₂' = 3.08 m/s

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Answer:

Below

Explanation:

FIND TOTAL NORTH DISPLACEMENT

   40 sin 35     + 50       + 10 sin 20   = 76.363 mi

FIND TOTAL E-W DISPLACEMENT  

  40 cos 35        -   10 cos 20 = 23.369 mi

Total resultant displacement ( using pythag theorem)

   sqrt ( 76.363^2 + 23.369^2 ) = 79.86  mi

    angle = arctan ( 79.23 / 23.37) = 73 °  North of East

The stars are 0.11 arcseconds apart. This is determined by using the formula for angular resolution: θ = 1.22 λ/D, where θ is the angular resolution in radians, λ is the wavelength of light, and D is the diameter of the telescope's mirror.

Plugging in the given values, we get: θ = 1.22 x (570 x 10^-9 m) / 0.61 m = 1.14 x 10^-6 radians. To convert this to arcseconds, we multiply by 206,265, giving us an angular resolution of 0.236 arcseconds. Since the two stars are "barely resolved," we can assume that they are just beyond this limit, so we can estimate their separation as approximately 0.11 arcseconds.

The diffraction causes light waves to spread out as they pass through an opening or aperture. In the case of a telescope, the aperture is the mirror, and the spreading of the light waves limits the telescope's ability to distinguish between two closely spaced objects. The formula for angular resolution takes into account the wavelength of light and the size of the aperture, and tells us how close together two objects must be in order to be resolved by the telescope. In this case, the stars are 18 light-years away, but their angular separation as seen from Earth is what determines whether they can be resolved or not.

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Given parameters:

Mass of object = 6.7kg

Velocity  = 8m/s

Unknown parameter:

Kinetic energy  = ?

Energy is defined as the ability to do work. There are two forms of energy;

Kinetic and potential energy.

Kinetic energy is the energy due to the motion of a body. Whereas, potential energy is the energy due to the position of a body usually at rest.

Kinetic energy is mathematically expressed as;

             Kinetic energy  = \(\frac{1}{2} m v^{2}\)

where m is the mass of the body

           v is the velocity of the body

Since we have been given both mass and velocity, input the parameter to solve for the unknown;

            Kinetic energy  = \(\frac{1}{2}\) x 6.7 x 8²   = 214.4‬J

So the kinetic energy of the body is  214.4‬J