A tensile load of 190 kN is applied to a round metal bar with a diameter of 16mm and a gage length Of 50mm. Under this load the bar elastically deforms so that the gage length increases to 50.1349 mm and the diameter decreases to 15.99 mm. Determine the modulus of elasticity and Poisson s ratio for this metal.

The relative permittivity of the insulator is εr = 1 / 2 = 0.5.

The relative permittivity of the insulator is calculated by applying the equation for the Coulomb force.

F = (kq²) / r²

where;

The initial force equation becomes;

3 = (kq²) / r²

Let's denote the relative permittivity as εr.

The new force equation becomes;

1.5 = (kq² x εr) / r²

Divide the two force equations;

(3 / 1.5) = (kq²) / (kq² x εr)

2 = 1 / εr

εr = 1/2 = 0.5

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a) 12.1 Average.

B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.

A) Determine the average length and express the answer using the correct number of significant figures:

12.2+12.1+12=36.3/3 = 12.1 Average.

B)  Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:

It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.

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The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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The equations x is rcos and y is rsin can be used to convert polar coordinates to rectangle coordinates.

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Answer:

20 kg*m/s

Explanation:

we're looking for the change in the cars momentum . the formula to identify the cars momentum is Δp=m*vf-m*vi . In this case m= mass , vf= velocity final, and vi= velocity initial . The mass is how much the car weighs , which is 4 kg . Velocity final would be 8 m/s since that's how fast it last was . Velocity initial would be 3 m/s since it had first started at that speed . Now we can jus plug it into the formula .

m= 4 kg

vf= 8 m/s

vi= 3 m/s

Δp= (4)*(8) - (4)*(3)

Δp= 32-12

Δp= 20 kg*m/s

hope this helps .

An example of a a predator in the Ethiopian Highlands ecosystem is the

Wolf.The wolf is a carnivore which acts as a predator to other smaller

animals in the ecosystem.

Preys are mostly smaller animals in which the predators feed on for food.

They are usually herbivores and primary consumers in the ecosystem.

Examples of Preys include:

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The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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Answer: C

Explanation:

Find the acceleration using this kinematic equation:

\(v_f=v_i+at\\66=0+a*8\\a=8.25m/s^2\)

Now use this kinematic equation to find the displacement:

\(v_f^2=v_i^2+2a*d\\66^2=0^2+2(8.25)d\\4356=16.5d\\d=264m\)

Answer:

Explanation:

Since the stove is moving with a constant velocity, we know that the net force on the stove is zero. Therefore, the force of friction acting on the stove must be equal in magnitude and opposite in direction to the horizontal force being applied by the contractor. We can use Newton's second law to solve for the normal force and force of friction:

ΣF = ma

where ΣF is the net force, m is the mass of the stove, and a is the acceleration of the stove (which is zero in this case).

First, we need to convert the velocity to m/s and the forces to Newtons (N):

18 cm/s = 0.18 m/s

85 N [fwd] - force applied by contractor

447 N [down] - force of gravity on the stove

Now we can solve for the normal force:

ΣFy = 0 (since the stove is not accelerating in the y-direction)

FN - 447 N = 0

FN = 447 N

Therefore, the normal force acting on the stove is 447 N.

Next, we can solve for the force of friction:

ΣFx = 0 (since the stove is moving at a constant velocity)

Ff - 85 N = 0

Ff = 85 N [bkwd]

Therefore, the force of friction acting on the stove is 85 N [bkwd].

Finally, we can solve for the total force applied by the floor:

ΣF = ma = 0 (since the stove is not accelerating)

Ffloor - 85 N - 447 N = 0

Ffloor = 532 N [up]

Therefore, the total force applied by the floor on the stove is 532 N [up].

The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².

Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length

Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.

The young's modulus will be calculated by the formula below,

Y = (4gl³) / (bd³) x ( M / y )

Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )

Y = 3.92 x 10¹⁰ N/m².

Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².

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The value of Current I​ is  I =1320.".

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.

V = IR,

  =  R=ρ A/1

​l= RA/ρ

V= IR, I= R/V 5.5

R= ρ l/A, = 5.5* 10 3 20/2 * 24

 I =1320.

The passage of electric charge across a surface at a rate measured in amperes, or amps, is the SI unit of electric current.

Therefore, The value of Current I​ is  I =1320."

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The owner's velocity is in the opposite direction of the combined velocity of the dog and the cat, and its magnitude is approximately 0.916 m/s.

To solve the given problem, we can use the principle of conservation of momentum to find the direction and magnitude of the owner's velocity.

Let's denote the velocity of the dog as v1 (northward), the velocity of the cat as v2 (eastward), and the velocity of the owner as v (unknown).

According to the conservation of momentum, the total momentum before the interaction is equal to the total momentum after the interaction.

The total momentum before the interaction is given by:

Total momentum before = (mass of the dog * velocity of the dog) + (mass of the cat * velocity of the cat) + (mass of the owner * velocity of the owner)

Mass of the dog (m1) = 24.4 kg

Velocity of the dog (v1) = 2.14 m/s

Mass of the cat (m2) = 5.53 kg

Velocity of the cat (v2) = 3.56 m/s

Mass of the owner (m3) = 78.5 kg

Velocity of the owner (v) = unknown

Total momentum before = (24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v)

The total momentum after the interaction is zero since the owner has the same momentum as the pets taken together.

Total momentum after = 0

Equating the two expressions:

(24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v) = 0

Simplifying the equation:

(52.216 kg·m/s) + (19.6488 kg·m/s) + (78.5 kg * v) = 0

71.8648 kg·m/s + (78.5 kg * v) = 0

Solving for v:

78.5 kg * v = -71.8648 kg·m/s

v = -71.8648 kg·m/s / 78.5 kg

v ≈ -0.916 m/s

Therefore, the direction of the owner's velocity is opposite to the combined velocity of the dog and the cat, and the magnitude of the owner's velocity is approximately 0.916 m/s.

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The upward acceleration of the acrobat is 1.833 m/s².

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:

Mass of the acrobat; M = 588 N.

Weight of the acrobat acting downwards; W = 588 N.

Upward force provided by each of the two ropes; f = 349 N.

Hence, net force acting on the acrobat in upward direction = 2f -w

= (2×349 - 588 ) N.

= 110 N.

Hence, the upward acceleration of the acrobat is = net force/ mass

= 110/60 m/s².

=1.833 m/s².

So, the upward acceleration of the acrobat is 1.833 m/s².

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True,

molecular gastronomy was created by two scientists from Oxford University. Molecular gastronomy is a sub-discipline of food science that investigates the physical and chemical transformations of ingredients during cooking. It was first established by physicist Nicholas Kurti and chemist Hervé This, both from Oxford University. The term "molecular gastronomy" was coined in 1988 during a workshop on the science of cooking, which aimed to bridge the gap between scientific research and culinary arts.

Molecular gastronomy explores various aspects of food, such as flavor, texture, and presentation, and combines scientific knowledge with culinary techniques. This innovative approach to cooking has led to the creation of many unique and modern dishes, often featuring unexpected combinations of ingredients and visually appealing presentations.
The objective of molecular gastronomy is not only to create innovative dishes but also to understand and improve traditional cooking methods. This has led to advancements in food technology, as well as a deeper understanding of the science behind cooking processes. As a result, molecular gastronomy has become a popular and influential trend in the culinary world, inspiring chefs and home cooks alike to experiment with new techniques and ingredients.

In summary, molecular gastronomy was created by two scientists from Oxford University, Nicholas Kurti and Hervé This. Their groundbreaking work has had a significant impact on the culinary world and has led to many exciting innovations in food preparation and presentation.

Answer:

Solar radiation

Explanation:

Visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

==>  Energy

==>  Radio noise, heat, visible light, ultraviolet radiation, X-rays, gamma rays

==>  They carry all these kinds of energy wherever they go.  Not only to the Earth.

In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.

a}The work is done by the piston in the process is 199 cal.

b) The increase in internal energy of the gas is  703 cal

c) The heat was supplied to the gas is  3771 J

(a) To calculate the work done by the piston, we can use the formula:

Work = P * ΔV

Where P is the constant pressure and ΔV is the change in volume. Since the pressure is constant, the work done is given by:

Work = P * (\(V_2 - V_1\))

Since the amount of gas is constant (1 mole), we can use the ideal gas law to calculate the initial and final volumes:

PV = nRT

\(V_1 = (nRT_1) / P_1\)

\(V_2 = (nRT_2) / P_2\)

Here, n is the number of moles (1 mole), R is the gas constant (1.99 cal/mol·°C), T1 is the initial temperature (27 °C + 273 = 300 K), T2 is the final temperature (127 °C + 273 = 400 K), and P1 and P2 are the initial and final pressures, respectively (both 1 atm).

Substituting the values into the equation, we have:

V1 = (1 mol * 1.99 cal/mol·°C * 300 K) / (1 atm) ≈ 597 cal

V2 = (1 mol * 1.99 cal/mol·°C * 400 K) / (1 atm) ≈ 796 cal

Therefore, the work done by the piston is:

Work = 1 atm * (796 cal - 597 cal) = 199 cal

(b) The increase in internal energy of the gas can be calculated using the equation:

ΔU = n * C * ΔT

Where ΔU is the change in internal energy, n is the number of moles (1 mole), C is the molar heat capacity (7.03 cal/mol·°C), and ΔT is the change in temperature (127 °C - 27 °C = 100 °C).

Substituting the values into the equation, we have:

ΔU = 1 mol * 7.03 cal/mol·°C * 100 °C = 703 cal

(c) The heat supplied to the gas can be calculated using the equation:

Q = ΔU + Work

Substituting the values calculated in parts (a) and (b), we have:

Q = 703 cal + 199 cal = 902 cal

Since 1 cal = 4.184 J, the heat supplied to the gas is:

Q = 902 cal * 4.184 J/cal ≈ 3771 J

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Answer:

Conductors- copper, aluminum, gold, and silver.

Insulators- glass, air, plastic, rubber, and wood.

Explanation:

Answer: 5 conductors are copper, aluminum, gold, iron, and silver and 5 insulators are glass, air, plastic, rubber, and wood.

Answer:

neither will happen

Explanation:

cause the water is already defreezed

As a result, the combined Honda-Toyota system's post-collision speed is 7.5 m/s.

The system's center of mass was v/2 before to the collision since one automobile had a velocity of v and the other zero. The total momentum is equal to the entire mass times the velocity of the center of mass, or (2m)(v/2) = mv before and after.

Initial momentum of Honda = m1 * v1

= 200 kg * 30 m/s

= 6000 kg·m/s

Final momentum of combined system = (m1 + m2) * v_final

Setting the two momenta equal to each other, we get:

6000 kg·m/s = 800 kg * v_final

Solving for v_final, we get:

v_final = 6000 kg·m/s / 800 kg

= 7.5 m/s

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The bug will cross the sticky region once in each cycle of its motion, where a cycle is defined as one complete round trip from the top of the bowl to the bottom and back to the top.

To find the number of cycles the bug goes through, we can use conservation of mechanical energy. At the top of the bowl, the bug has only potential energy, which is converted to kinetic energy as it slides down the bowl. At the bottom of the bowl, all of the potential energy has been converted to kinetic energy, and as the bug slides up the other side of the bowl, the kinetic energy is converted back into potential energy. At the top of the bowl again, the bug has only potential energy, and the cycle repeats.

Because there is no friction (except for the sticky patch), the total mechanical energy of the system is conserved. Therefore, the potential energy at the top of the bowl is equal to the potential energy at the bottom of the bowl, and the kinetic energy at the bottom of the bowl is equal to the kinetic energy at the top of the bowl.

We can set the potential energy at the top of the bowl to zero, and use the conservation of energy to find the potential energy at the bottom of the bowl:

mgh = (1/2)mv^2

where m is the mass of the bug, g is the acceleration due to gravity, h is the depth of the bowl, and v is the speed of the bug at the bottom of the bowl.

Solving for v, we get:

v = sqrt(2gh)

Plugging in the numbers, we get:

v = sqrt(29.810.12) = 0.775 m/s

The time it takes for the bug to slide from the top of the bowl to the bottom and back up to the top is twice the time it takes to slide from the top to the bottom:

t = 2sqrt(2h/g) = 2sqrt(2*0.12/9.81) = 0.774 s

Therefore, the frequency of the bug's motion is:

f = 1/t = 1/0.774 = 1.29 Hz

Since the bug completes one cycle in each oscillation, the bug will cross the sticky region 1.29 times per second, or approximately once every 0.78 seconds.

earth energy budget is the relationship between how much energy the earth receive from the sun and energy the earth radiates out.

Energy is described as the quantitative property that is displaced to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

The term earth's energy budget is also described as the  balance between of the amount of energy, that gets to the earth. from the Sun and the energy that leaves Earth and returns to the universe.

The earth's energy budget was mainly three types as shown:

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For a spacecraft is traveling with a velocity of Vox-5690 m/s:

To solve this problem, use the equations of motion to calculate the final velocity and the vertical component of the velocity. Assume that the initial velocity in the y-direction is zero.

Given:

Initial velocity in the x-direction (V₀ₓ) = -5690 m/s

Time of engine firing (t) = 865 s

Acceleration in the x-direction (ax) = 1.45 m/s²

Acceleration in the y-direction (ay) = -8.66 m/s²

(a) To calculate the final velocity (v), use the equation:

v = V₀ₓ + ax × t

Substituting the values:

v = -5690 m/s + 1.45 m/s² × 865 s

v = -5690 m/s + 1254.25 m/s

v ≈ 685.25 m/s

Therefore, the final velocity (v) is approximately 685.25 m/s.

(b) To calculate the vertical component of the velocity (vy), use the equation:

vy = ay × t

Substituting the values:

vy = -8.66 m/s² * 865 s

vy = -7484.9 m/s

Therefore, the vertical component of the velocity (vy) is -7484.9 m/s.

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 a. The function that describes the oscillations of the object can be described using a sinusoidal function.

b. Yes, the function is shifted in the x-direction.

c. No, the function is not squeezed or stretched along the y-axis.

d. No, the function is not squeezed or stretched along the x-direction. The equation describing the position of the object in time can be expressed as :x(t) = A * cos(ωt + φ)

e. x(0) = A * cos(ω * 0 + φ) = 2 is the equation describing position of the object in time.

a. The function that describes the oscillations of the object can be described using a sinusoidal function. A common function used to represent oscillatory motion is the cosine function or the sine function. In this case, since the object is in the equilibrium position at t=0 and t=2s, we can use the cosine function to describe its oscillations.

b. Yes, the function is shifted in the x-direction. The equilibrium position of the object is at x=2m, which means the function is shifted 2 units to the right along the x-axis.

c. No, the function is not squeezed or stretched along the y-axis. The amplitude of the oscillations remains constant at 0.2 m.

d. No, the function is not squeezed or stretched along the x-direction. The period of the oscillations remains constant, indicating that the function is not compressed or stretched along the x-axis.

The equation describing the position of the object in time can be expressed as follows:

x(t) = A * cos(ωt + φ)

Where:

- x(t) represents the position of the object at time t.

- A is the amplitude of the oscillations (0.2 m in this case).

- ω is the angular frequency, given by ω = 2π / T, where T is the period of oscillation.

- φ is the phase constant, representing the initial phase of the oscillation.

e. To determine the equation describing the position of the object in time, we need to find the values of ω and φ. Since the object is in the equilibrium position at t=0 and t=2s, we can use this information to determine the values.

At t=0, the object is in the equilibrium position, so we have:

x(0) = A * cos(0 + φ) = 2

At t=2s, the object is in the equilibrium position again, so we have:

x(2) = A * cos(2ω + φ) = 2

Now,

At t=0, we have:

x(0) = A * cos(ω * 0 + φ) = 2

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A chopper’s speed increases from 35 m/s to 60 m/s in 5 seconds. Therefore, the acceleration of this helicopter is 5m/s².

The term an acceleration is the name we supply to any process where the velocity changes.

Therefore, velocity is a speed and a direction, there are only two ways for you to accelerate is change your speed or change your direction or change both.

Given:

Initial speed = 35 m/s

Final speed = 60 m/s

Time = 5 s

v = u + at

60 = 35 + a(5)

60 - 35 = 5a

25 = 5a

a = 5

Thus, the acceleration of this helicopter is 5m/s².

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Answer:

The correct answer is A) It is upright and 1.5m behind the mirror

Explanation:

Your reflection must be upright, meaning vertical/erect, and the distance will be the exact same. Also, the reflected ray appears as if it had traveled from an object located behind the mirror.

Answer:

The correct answer is D. solids and liquids because their particles are arranged more closely together.

Answer:

those who are attracted to magnets. ex: iron, cobalt and nickel