Pressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force (in N) must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 22.0 cm in diameter and the gauge pressure inside is 3.20 atm? Neglect the weight of the lid.

Answers

Answer 1

First, let's convert the diameter to meters and the pressure to Pascal:

22 cm = 0.22 m

3.2 atm = 3.2 * 101325 Pa = 324240 Pa.

Now, let's find the area of the lid:

\(\begin{gathered} A=\frac{\pi d^2}{4}\\ \\ A=\frac{\pi\cdot0.22^2}{4}\\ \\ A=0.03801327\text{ m^^b2} \end{gathered}\)

To find the force, let's use the pressure formula:

\(\begin{gathered} P=\frac{F}{A}\\ \\ F=P\cdot A\\ \\ F=324240\cdot0.03801327\\ \\ F=12325.42\text{ N} \end{gathered}\)


Related Questions

the heat capacity of 0.125Kg of water is measured to be 523j/k at a room temperature.Hence, calculate the heat capacity of water
(a) per unit mass
(b) per unit volume​

Answers

Answer:

A. 4148 J/K/Kg

B. 4148 J/K/L

Explanation:

A. Heat capacity per unit mass is known as the specific heat capacity, c.

C = Heat capacity/mass(kg)

C = (523 J/K) / 0.125 Kg = 4148 J/K/Kg

B. Volume of water = mass/density

Density of water = 1 Kg/L

Volume of water = 0.125 Kg/ 1Kg/L

Volume of water = 0.125 L

Heat capacity per unit volume = (523 J/K) / 0.125 L

Heat capacity per unit volume = 4148 J/K/L

Refer to the data. How many males are taller than 175 cm and approximately what percentage of the total is that?

Answers

Answer:

Males over 175 cm = 10 Percentage of total = 50%

Explanation:

Males measuring;

161 - 165 = 2

166 - 170 = 1

171 - 175 = 7

176 - 180 = 1

181 - 185 = 6

186 - 190 = 3

Males taller than 175 cm = 1 + 6 + 3 = 10

Total number of Males = 2 + 1 + 7 + 1 + 6 + 3  = 20

Percentage of total over 175 cm

= 10 / 20

= 50%

Refer to the data. How many males are taller than 175 cm and approximately what percentage of the total

Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.

Answers

The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .

Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.

This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.

The number of protons in an atom is called the atomic number or Z-number.

The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.

Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.

However, different isotopes of an element can have different numbers of neutrons.

This means that they have a different atomic mass or A-number.

Therefore, they have the same A-number but different Z-number.

Therefore the correct Option is B.

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10. In a laboratory experiment, students recorded the
following length data: 12.2 cm, 12.1 cm, 12 cm,
11.9 cm, and 12.20 cm. (a) Determine the average
length and express the answer using the correct
number of significant figures. (b) Based on your
average length calculation in part (a), discuss the
importance of recording measurements to the
appropriate number of significant figures.

Answers

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.

What does the average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.The mean, median, and mode are the three primary varieties of average. Each of these methods operates slightly differently and frequently yields values typically a little off. The average that is most frequently used is the mean. You add all the values and divide this sum by the total number of values to obtain the mean value.Averages are mostly used to track changes over time within a sample group or cohort.Since averages can be used to compare different quantities of the same category, we employ them. The calculation of averages has limits since it cannot reveal how something is distributed among individuals. For instance, the distribution of income is not shown by per capita income.

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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A force of 100N makes an angle of 60° with Y-axis, it's horizontal component is ?

Answers

Answer:

50\(\sqrt{3}\)

Explanation:

As the force makes an angle 60 degree with y axis , the horizontal component (along x axis) will be 100sin(60) = 50\(\sqrt{3}\)

Need ASAP! Please Provide the Answer. I do not need an explanation. Thank you.

An iguana runs back and forth along the ground. The horizontal position of the iguana in meters over time is shown below.

Need ASAP! Please Provide the Answer. I do not need an explanation. Thank you.An iguana runs back and

Answers

The displacement of the iguana between 0 and 5 seconds is 6 m and the distance is 15 m.

What is displacement?

The displacement of an object is the change in the position of the object.

Displacement = change in position of the iguana

Displacement = position (5 seconds) - Position (0 seconds)

Displacement = 6 m - 0 m = 6 m

Distance traveled by the iguana

This the total path covered by iguana in the first 5 seconds.

Distance = speed x time

speed = (6 - 0) / (3 - 1) = 3 m/s

Distance traveled by 0 and 5 seconds = 5 x 3 m/s = 15 m

Thus, the displacement of the iguana between 0 and 5 seconds is 6 m and the distance is 15 m.

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Help please..
Kepler’s third law states that:
A. the orbits of the planets are elliptical.
B. the planets move slower when they are closer to the Sun and faster when they are farther from the Sun.
C. the square of the ratio of the periods of any two planets revolving around the Sun is equal to the cube of the ratio of their average distance from the Sun.
D. objects attract other objects with a force that is directly proportional to the product of their masses, and inversely proportional to the square of the distance between them.

Answers

Answer:

c

Explanation:

a cube totally submerged in water . calculate the buoyant force acting on this cube . given : g=10N/kg , volume of the cube =24m3 , density of water = 1000 kg/m3?

Answers

Answer:

\(F_B=235200\ N\)

Explanation:

Given that,

The volume of the cube, V = 24 m³

The density of water, d = 1000 kg/m³

We need to find the buoyant force acting on this cube when it totally submerged in water. The formula for the buoyant force is given by :

\(F_B=dgV\)

Substitute all the values,

\(F_B=1000\times 9.8\times 24\\\\F_B=235200\ N\)

So, the required force is equal to 235200  N.

a 3000 kg car accelerates uniformly from 15 m/s to 60 m/s in 5 seconds. determine the net force on the car during this time ​

Answers

Answer:

F = 2700 N

Explanation:

Given that,

Mass of a car, m = 3000 kg

Initial velocity, u = 15 m/s

Final velocity, v = 60 m/s

Time, t = 5 s

We need to find the net force on the car during this time ​. The net force on an object is given by the product of mass and acceleration. So,

F = ma

a is acceleration, a = (v-u)/t

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{3000\times (60-15)}{5}\\\\F=27000\ N\)

So, 27000 N is the net force on the car during this time .

Physical activities teaches an individual sense of responsibility and initiative.
True Or False

Answers

Answer:

true

Explanation:

Physical fitness is a personal responsibility so I would say true

the correct answer is true :)

A car is heading North at 18 m/s.
The driver flicks the wheel, and within 3 seconds he has the car headed South at 12
m/s.
What is the acceleration?

A car is heading North at 18 m/s.The driver flicks the wheel, and within 3 seconds he has the car headed

Answers

Answer:

10 m/s south

Explanation:

From 18 m/s North to 12 m/s South is a total change of 30 m/s towards the South.

So, Change in velocity = 30 m/s South

Time = 3 s

30/3=10 so 10 m/s South

PLS HURRY!!!! 15 PTS!!! The pictures represent three different states of matter.
Which order of pictures places molecules with the most
amount of motion to the least amount of motion?
O X Y Z
O ZYX
O Y Z
O Y - X - Z

PLS HURRY!!!! 15 PTS!!! The pictures represent three different states of matter.Which order of pictures

Answers

Xyz I think!
I’m so sorry if I’m wrong!!!

Given that the solar spectrum corresponds to a temperature of T=5800K and peaks at a wavelength of λ =500nm, use Wien’s law to determine the wavelength ( λ ') corresponding to the peak of the blackbody curve (a) in the core of the Sun, where the temperature is T'=107 K, (b) in the solar convection zone (105 K), and (c) just below the solar photosphere (104 K). [Hint: =′′ λ T = λ ′ T ′ (why?)] What form (visible, infrared, X ray, etc.) does the radiation take in each case?

Answers

Explanation:

Given that the solar spectrum corresponds to a temperature of T=5800K and peaks at a wavelength of λ =500nm, use Wien’s law to determine the wavelength ( λ ') corresponding to the peak of the blackbody curve (a) in the core of the Sun, where the temperature is T'=107 K, (b) in the solar convection zone (105 K), and (c) just below the solar photosphere (104 K). [Hint: =′′ λ T = λ ′ T ′ (why?)] What form (visible, infrared, X ray, etc.) does the radiation take in each case?

A 6.8 KG object moves with a velocity of 8 M/S what’s it's kinetic energy?

Answers

Answer:

Explanation:

KE = ½mv² = ½(6.8)8² = 217.6 J

round as appropriate because that result is way too much precision for the inputs provided. Arguably should be 200 J based on the single significant digit of the velocity.

g A nucleus of mass M (given) at rest emits an alpha particle. The kinetic energy of the alpha particle is K1 (given). The mass of the alpha particle is given (m1) and the mass of the daughter nucleus is also given (m2). a) write the nuclear reaction equation; b) express the kinetic energy of the daughter nucleus in terms of the given quantities c) express the Q factor of this reaction in terms of the given quantities.

Answers

Answer:

Following are the responses to the given question:

Explanation:

In point a:

Nucleus denoting, he refers to those same nuclei of the helium ( that is alpha particle)

\({z}^{N^{A}}\to z-2^{N^{A-4}} + 2^{He^{4}}\)

In point b:

Let the kinetic energy of \(\alpha\) particle = \(K_1\)

\(\to K_1 = \frac{mass \times (velocity)^2}{2}\)

The velocity of \(\alpha\) particle \((v_1)= (2 \times \frac{k_1}{m_1})^\frac{1}{2}\)

Let daughter core velocity be =\(v_2\)

Preserving linear acceleration since there was no external factor we can write

\(\to m_2 \times v_2 = m_1 \times v_1\\\\\to v_2 = \frac{m_1\times v_1}{m_2}\\\\\to v_2 = \frac{m_1\times (2 \times \frac{k_1}{m_1})^{\frac{1}{2}}}{m_2}\)

Daughter nuclei energy can be written as:

\(\to \frac{mass \times (velocity)^2}{2}\\\\\to \frac{m_2 \times (m_1)^2 \times 2 \times k_1}{(2\times m_1 \times (m_2)^2)}\\\\ \to (\frac{m_1}{m_2}) \times k_1\)

In point c:

Initial weight = M

Total product weight \(= m_1 + m_2\)

You can use the total release energy (Q-factor) as =\((M - (m_1+m_2)) c^2\)

You are pulling a sled along a level surface. The weight on the sled increases as some packages are added. How do you think that the force you exert to pull the sled changes?

A. It increases
B. It decreases
C. It remains the same


Answers

the answer is A: it increases
As the weight of the sled gets heavier, you exert more force to pull the sled, which leads you to answer A

Answer: A it increases cuz da more heavy the object or whatever the more force u gotta use to pull it

Each tire on a car has a radius of 0.330 m and is rotating with an angular speed of 13.9 revolutions/s. Find the linear speed v of the car, assuming that the tires are not slipping against the ground.

Each tire on a car has a radius of 0.330 m and is rotating with an angular speed of 13.9 revolutions/s.

Answers

Answer:

the linear speed of the car is 28.83 m/s

Explanation:

Given;

radius of the car, r = 0.33 m

angular speed of each tire, ω = 13.9 rev/s = 13.9 x 2π = 87.35 rad/s

The linear speed of the car is calculated as;

V = ωr

V = 87.35 rad/s x 0.33 m

V = 28.83 m/s

Therefore, the linear speed of the car is 28.83 m/s

Why does the globe lean to the left?


A.

Earth rotates on its axis.


B.

Earth rotates around the sun.


C.

Earth is on a tilted axis.


D.

Earth is on a vertical axis

PLEASE HURRY

Answers

Answer:

Earth is on a tilted axis.

Explanation:

For the change in tires in problem #1, what is your true speed if you do not adjust the speedometer
for the new tire size and speedometer reads 55 mph?

Answers

Your true speed if you do not  adjust the speedometer for the new tire size is 68.9 mph.

What is your true speed?

If you do not adjust the speedometer for the new tire size and speedometer reads 55 mph, your true speed is calculated as follows;

Let your true speed = v

New circumference of the tire / old circumference of the tire = d / 55 mph

The new circumference of the tire is 104 inches

The old circumference of the tire is 83 inches

( 104 / 83 ) = v / 55 mph

v = 55 mph x ( 104 / 83 )

v = 68.9 mph

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The complete question is below:

For the change in tires in problem #1 where new circumference of the tire is 104 inches and the old circumference of the tire is 83 inches , what is your true speed if you do not adjust the speedometer

for the new tire size and speedometer reads 55 mph?

Two objects are placed touching each other. Object A has a temperature of 1 T and Object B has a temperature of 2 T. What will be trueafter some time has passed?

Answers

After some time has passed the two objects will attain equilibrium temperature of 1.5T.

Equilibrium point

When the two objects at different temperatures are placed in close contact to each other, after some time, the two objects will attain equilibrium temperature where the temperature of the two objects will be the same, this point where the two temperatures are the same is known as equilibrium point.

Final temperature of the two objects

The final temperature of the two objects is calculated as follows;

\(T_f = \frac{T+ 2T}{2} \\\\T_f = 1.5 T\)

Thus, after some time has passed the two objects will attain equilibrium temperature of 1.5T.

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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Waves can carry either ____ or __________ energy?

Answers

Mechanical or Electromagnetic

Answer:

ways can carry either __machanical___ or electromagnetic energy

On a hot day, you sit on the edge of a pool and dip your feet into the water, causing changes to occur that are related to the physical and thermal properties of your feet and of the water. Select the statements that accurately describe what is happening, in terms of the heat and temperature of the objects and substances. There may be more than one accurate statement.

Answers

The true statements are;

Heat from your feet raises the temperature of the water.

Your feet transfer heat into the surrounding water, reducing the temperature of your feet. B and C

What are thermal changes?

The term thermal changes has t do with the changes in the heat properties of the substance. We know that when you put your leg in water there is a thermal exchange between the water and your leg.

Owing to the fact that heat is transferred from your leg to the water, your leg will feel cool while the temperature of the water will increase slightly.

Having said all these, the true statements are;

Heat from your feet raises the temperature of the water.

Your feet transfer heat into the surrounding water, reducing the temperature of your feet.

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Missing parts;

On a hot day, you sit on the edge of a pool and dip your feet into the water, causing changes to occur that are

related to the physical and thermal properties of your feet and of the water. Select the statements that

accurately describe what is happening, in terms of the heat and temperature of the objects and substances.

There may be more than one accurate statement.

A. Cold from the water reduces the temperature of your feet.

B. Heat from your feet raises the temperature of the water.

C. Your feet transfer heat into the surrounding water, reducing the temperature of your feet.

D. Cold from the water moves into your warm feet.

For a specific gas, how does its emission spectrum relate to its absorption spectrum?

a) Bright lines in its emission spectrum have different wavelengths than the dark lines of its absorption spectrum.
b) They do not relate directly.
c) Dark lines in its emission spectrum have the same wavelengths as the bright lines of its absorption spectrum.
d) Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum.

Answers

Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum. Hence, option (d) is correct.

What are emission spectrum and  absorption spectrum?

The electromagnetic radiation spectrum that is emitted when an atom or molecule changes from a high energy state to a lower energy state is known as the emission spectrum of a chemical element or chemical compound.

Absorption spectrum: An electromagnetic spectrum where a drop in radiation strength at particular wavelengths or ranges of wavelengths indicative of an absorbing substance (such as chlorophyll) is particularly visible as a pattern of dark lines or bands, in contrast to emission spectrum.

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Total energy of a particle executing S.H.M of amplitude A is proportional to:
(a)A?
(b) A-2
(c) A
(d) A-​

Answers

Answer:

If x = A sin w t    where w is the angular frequency

then v = w A cos w t

Since KE = 1/2 m Vmax^2 and Vmax = w A     maximum KE

the total energy is proportional to A^2

Also, since the maximum potential energy is

PEmax = 1/2 K A^2    where the KE is zero (maximum amplitude)

one can again see that the total energy is proportional to A^2

A gas at pressure 100 atm and volume 3.7 L has the pressure reduced to 32 atm what is the new volume of the gas

Answers

Answer:

The new volume is  \(11.6L\)

Explanation:

      This problem is on the application of Boyle's law which states that" the volume of a given mass of gas at constant temperature is inversely  proportional to the pressure"

\(pressure \alpha \frac{1}{volume}\)

Given data

initial pressure p1= 100atm

initial volume v1= 3.7L

final pressure p2= 32 atm

final volume v2= ?

Apply Boyle's law we have

\(p1v1= p2v2\\\)

\(v2= \frac{p1v1}{p2}\)

Substituting our data we have

\(v2= \frac{100*3.7}{32} \\v2=\frac{370}{32} \\v2= 11.6 L\)

The new volume is \(11.6L\)

Assess how you,young person ,could use social media to promote respect for the different right in the Bill of right

Answers

As a young person, can use social media platforms to promote respect for the different rights in the Bill of Rights by sharing information, starting conversations, and advocating for change.

Here are some ways you can use social media to promote respect for the different rights in the Bill of Rights:

Share Information: Use your social media accounts to share information about the different rights in the Bill of Rights. Share graphics, infographics, and articles about each of the rights, and what they mean. You can also share stories of people whose rights have been violated or those who have fought for their rights.Start Conversations: Start conversations about the different rights in the Bill of Rights. Ask questions, share your thoughts, and encourage others to share their perspectives. Engage in respectful dialogue and learn from each other.Advocate for Change: Use your social media to advocate for change. Share information about policies or laws that may be impacting the rights of certain groups of people, and encourage your followers to take action. This can include signing petitions, contacting their representatives, or joining protests.

Highlight Positive Examples: Use social media to highlight positive examples of individuals or organizations that are respecting the different rights in the Bill of Rights. Share stories of people who are fighting for justice and equality, and celebrate when positive change is made.

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What are two reasons early astronomers developed the geocentric model of
the solar system?
A. The model could explain why all the stars move in the same way
across the sky.
B. The model could explain why moons revolve around other planets
and not around the Sun.
C. The model could explain the apparent motions of the Sun and
Moon across the sky.
D. The model could explain the apparent backward motion of some
of the planets in the sky.

Answers

The two reasons early astronomers developed the geocentric model of the solar system are:

C. The model could explain the apparent motions of the Sun and Moon across the sky.

D. The model could explain the apparent backward motion of some of the planets in the sky.

The geocentric model, also known as the Ptolemaic model, was a model of the solar system in which the Earth was at the center and the Sun, Moon, and planets revolved around it. This model was developed by the ancient Greeks and was widely accepted for many centuries. It was able to explain the apparent daily motion of the stars and the annual motion of the Sun across the sky, as well as the apparent backward motion of some of the planets, known as retrograde motion. However, it was eventually superseded by the heliocentric model, which placed the Sun at the center of the solar system and was able to better explain the observed motions of the planets.

Answer:

C And A

Explanation:

Hope this helps. Take care and have a good day

Explain how we could test for the accuracy of the period you calculated (and don't mean by using a calculator). How could you experimentally find it?

Answers

Answer:

Here are the steps to perform the experiment:

1. Set up a pendulum by suspending a weight from a fixed point using a string or a rod. Ensure that the length of the string or the rod is constant.

2. Displace the weight by a small angle and release it to allow it to oscillate back and forth.

3. Use a stopwatch or a timer to measure the time it takes for the pendulum to complete one full oscillation (i.e., from one extreme position to the other and back to the original position).

4. Repeat the measurement several times to get an average value for the time period.

5. Compare the measured time period to the calculated value using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

If the measured value is close to the calculated value, then the calculated period can be considered accurate. However, if the measured value is significantly different from the calculated value, then the calculated period may need to be revised or further experiments may need to be performed to determine the source of the error.

It is important to note that experimental errors such as human error in measuring the time or the length of the pendulum can affect the accuracy of the measurement. Therefore, it is recommended to repeat the experiment several times to minimize these errors and obtain a more accurate value.

Particles q1= -66.3 μC, q2 = +108 μC, and q3 = -43.2 μC are in a line. Particles q1 and q2 are separated by 0.550 m and particles q2 and q3 are separated by 0.550 m. What is the net force on particle q2?

Remember:
Negative forces (-F) will point Left
Positive forces (+F) will point Right

Will mark brainliest IF answer is correct.

Particles q1= -66.3 C, q2 = +108 C, and q3 = -43.2 C are in a line. Particles q1 and q2 are separated

Answers

To calculate the net force on particle q2, we need to calculate the individual forces exerted by q1 and q3 on q2, considering their charges and separation distances.

Using Coulomb's Law, the force between two charged particles can be calculated as:

\(F = (k * |q1 * q2|) / r^2\)

where F is the force, k is Coulomb's constant (8.99 x 10^9 N m²/C²), q1 and q2 are the charges of the particles, and r is the separation distance between them.

For q1 and q2:

F1 = (8.99 x 10^9 N m²/C²) * (|-66.3 x 10^-6 C * 108 x 10^-6 C|) / (0.550 m)²

For q2 and q3:

F2 = (8.99 x 10^9 N m²/C²) * (|108 x 10^-6 C * -43.2 x 10^-6 C|) / (0.550 m)²

The net force on q2 is the vector sum of F1 and F2:

Net Force = F1 + F2

By calculating these values and performing the addition, we can determine the net force acting on particle q2.

Therefore, To calculate the net force on particle q2, we need to calculate the individual forces exerted by q1 and q3 on q2, considering their charges and separation distances.

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a certain chemical reaction releases 33.0 kj?g of heat for each gram of reactant consumed. how can you calculate what mass of reactant will produce 1230.j In which stage of the cell cycle does the cell condense chromatin into chromosomes?. If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)? When you write a two column proof, the first thing in the reason column is always.....I WILL MARK BRAINLIST Exercise 7. Assume that u(t,x) solves the heat equation on the interval [0,L], with zero Dirichlet condition, and assume that u(0,x)0 for all x[0,L]. We now show the conclusion u(t,x)0 in another way. For simplicity, we also require that u is continuous (in particular, u(0,0)=u(0,L)=0) (b) Compute t v xx2 v using the p.d.e. for u and reach a contradiction. (c) Let 0 and deduce that u0 everywhere. How many HCL-molecules in 1,5mol HCL Malachi asks students in his class, "How long does it take you to get to school?" The histogram shows the data. Which statement best describes the distribution? While preparing a budget, there are some estimates that must be made more than a year in advance. This particular aspect is not considered while preparing a _____. If logx y = 2, which of the following is true. y = x^2 y = 2x x = y^2 x = 2y one reason organizations create teams is to . a. assert control over employees' actions b. relieve workers of decision-making responsibility c. strengthen the role of managers as supervisors d. limit flexibility e. capitalize on the knowledge and motivation of workers Match each drawing on the left with its word description on the right Why is it important that a country establishes a form of government item7 item 7 methanogens are a type of archaea found in various habitats on the planet, including deep-sea vents in the deepest parts of the ocean. they produce methane gas by reducing carbon dioxide, using hydrogen gas under anaerobic conditions. given these characteristics, methanogens are a type of The Ring of Fire is _______. a. the arc stretching from New Zealand to the Aleutian Islands b. composed of over 75% of the worlds active and dormant volcanoes c. can be found along the coast of North and South America d. all of the above the number is between 3,000 and 6,00050%of the digits are the same digitthe number is oddthe digit in the hundreds place and the ones place is the same digitthe sum of the digit in the hundreds place and and the ones place is twothe digit in the thousands place is greater than any of the other digitsthe difference between the tens place and the ones place is one the digit in the tens place is called a "hero"the digital root of the number is the number of pennies in a nickel in the event of a non-material breach of a contract, the duty to perform is not excused and the non-breaching party must resume performance of the contractual obligations undertaken. Q2. The two axes of an x-y positioning table are each driven by a stepping motor connected to a leadscrew with a 10:1 gear reduction. The number of step angles on each stepping motor is 20. Each leadscrew has a pitch = 5.0 mm and provides an axis range = 300.0 mm. There are 16 bits in each binary register used by the controller to store position data for the two axes. a) What is the control resolution of each axis? b) What are the required the rotational speeds and corresponding pulse train frequencies of each stepping motor in order to drive the table at 600 mm/min in a straight line from point (25,25) to point (100,150)? Ignore acceleration. Q3. A leadscrew coupled directly to a de servomotor is used to drive one of the table axes of an NC milling machine. The leadscrew has 5 threads/in. The optical encoder attached to the leadscrew emits 100 pulses/rev of the leadscrew. The motor rotates at a maximum speed of 800 rev/min. Determine: a) The control resolution of the system, expressed in linear travel distance of the table axis; b) the frequency of the pulse train emitted by the optical encoder when the servomotor operates at maximum speed; and c) the travel speed of the table at the maximum rpm of the motor. Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P. The tension in the wire is T.In Above:T = PP = T + 25 NP = T + 100 NT > PP + T = 125 NP is closest to:245 N125 N1225 N25 N187.5 NT is closest to:980 N100 N125 N150 N75 N Complete the grouped relative frequency distribution for the data. Write each relative frequency as a decimal rounded to the nearest hundredth not as a percentage (note that we are using a class width of 6) Heat energy refers to the kinetic energy of molecules. Heat can move in a number of different ways: when warm air rises causing the gas or liquid to circulate, the process that is said to occur is ________.A) latent heat transferB) conductionC) convectionD) radiationE) evaporation