crew members attempt to escape from a damaged submarine 146 m below the surface.what force must be applied to a pop-out hatch, which is 0.826 m by 0.413 m, to push it out at that depth? assume that the density of the ocean water is 1024 kg/m3 and the internal air pressure is at 1.00 atm.

Answers

Answer 1

A force of 5.12 x \(10^{-5}\) N (or about 115,000 pounds) must be applied to the pop-out hatch to push it out at a depth of 146 m below the surface.

To solve this problem, we need to use the principle of buoyancy and the formula for pressure at a depth in a fluid.The force required to push the hatch out is equal to the force exerted by the water pressure on the hatch.

The water pressure at a depth of 146 m can be calculated using the formula:P = ρgh

where P is the pressure, ρ is the density of the fluid (in kg/m³), g is the acceleration due to gravity (in m/s²), and h is the depth (in meters).

Substituting the given values, we get:

P = (1024 kg/m²) x (9.81 m/s²) x (146 m) = 1.50 x \(10^{6}\) Pa

This is the pressure exerted by the water on the hatch. To calculate the force required to push the hatch out, we need to multiply this pressure by the area of the hatch. The area of the hatch is given as:

A = (0.826 m) x (0.413 m) = 0.341 m²

Therefore, the force required to push the hatch out is:

F = P x A = (1.50 x \(10^{6}\) Pa) x (0.341 m²) = 5.12 x \(10^{5}\) N

So, a force of 5.12 x\(10^{5}\)  N (or about 115,000 pounds) must be applied to the pop-out hatch to push it out at a depth of 146 m below the surface.

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Related Questions

A certain child's near point is 14.0 cm; her far point (with eyes relaxed) is 123 cm. Each eye lens is 2.00 cm from the retina.
(a) Between what limits, measured in diopters, does the power of this lens-cornea combination vary?
lower bound_________ diopters upper bound __________ diopters (b) Calculate the power of the eyeglass lens the child should use for relaxed distance vision. ______diopters
Is the lens converging or diverging? a. converging b. diverging

Answers

The lens is used for distance vision and the power is positive, it is a converging lens.

To calculate the limits of the power of the lens-cornea combination, we need to consider the near point and the far point of the child's vision.

The near point of the child is 14.0 cm, which represents the closest distance at which she can focus on an object. The far point is 123 cm, which represents the farthest distance at which she can focus without any strain.

The power of a lens is given by the formula:

Power (P) = 1 / focal length (f)

To find the limits of the power, we can calculate the focal lengths corresponding to the near point and the far point.

For the near point:

f_near = 1 / (near point distance)

f_near = 1 / 0.14 m

f_near ≈ 7.14 diopters (rounded to two decimal places)

For the far point:

f_far = 1 / (far point distance)

f_far = 1 / 1.23 m

f_far ≈ 0.81 diopters (rounded to two decimal places)

Therefore, the lower bound of the power is approximately 0.81 diopters, and the upper bound is approximately 7.14 diopters.

To calculate the power of the eyeglass lens for relaxed distance vision, we need to find the difference between the far point and the relaxed position (2.00 cm from the retina). This difference represents the additional power needed to correct the child's vision for distance.

Power_relaxed = 1 / (far point distance - relaxed position distance)

Power_relaxed = 1 / (1.23 m - 0.02 m)

Power_relaxed ≈ 0.83 diopters (rounded to two decimal places)

The lens needed for relaxed distance vision should have a power of approximately 0.83 diopters.

Since the lens is used for distance vision and the power is positive, it is a converging lens.

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Un clavadista salta del trampolín de 2.8 m con una velocidad inicial de 3.2 m/s.
a. Determina la altura máxima:
b. El tiempo para llegar a la altura máxima:
c. El tiempo para tocar el agua:
d. La velocidad al tocar el agua.

Answers

The maximum height achieved by the body is 2.645 meters.

What is the maximum height achieved by the body when thrown upwards with velocity {v}?

The maximum height achieved by the body when thrown upwards with velocity {v} is -

h{max} = v²/2g

Given is to find the maximum height achieved by the body.

The maximum height achieved by the body is -

h{max} = v²/2g

h{max} = (2.3)²/20

h{max} = (2.3)²/20

h{max} = 2.645 meters

Therefore, the maximum height achieved by the body is 2.645 meters.

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{A diver jumps off the 2.8 m springboard with an initial velocity of 3.2 m/s.

to. Determine the maximum height.}

According to the Newton’s first law of motion , which of the following objects will change in motion
A. a biker on a smooth and level road , pedaling at a constant rate .
B. a train pulling on another train , each with the same amount of force .
C. a ball rolling across the floor with friction acting in the opposite direction.
D. A chair sitting on the floor with balanced forces acting in opposite directions.

Answers

the correct answer is C

I need help guysss , how can I get a Tutor on here

Answers

Answer:

it would say ask and see the tutor

Answer:

You type out your question and it should ask you where you want to post it. You choices are tutor or community. Choose community.

Explanation:

I just did it and it worked. Good luck

In operant conditioning, many complex behaviors are learned through shaping.
T or F

Answers

True because in operant conditioning, many complex behaviors are learned through shaping.

The diagram below shows a high school pool with a length of 50 m. A member of swim team swims
five lengths of the pool: from X to Yfrom Y to X, from X to Y again, from Y to X again, and lastly
from X to Y, ending at point Y. Which of the following correctly states the distance and displacement
of the swimmer?
50 m
a. Distance 250 m, displacement 0 m
6. Distance 250 m, displacement 50 m
c. Distance 0 m, displacement 250 m
d. Distance 50 m, displacement 250 m

Answers

Explanation:

Distance 250m, displacement 50m

a flatbed truck is carrying a 20.0-kg crate up a sloping road. the coefficient of static friction between the crate and the bed is 0.400. what is the maximum angle of slope that the truck can climb at constant speed if the crate is to stay in place

Answers

The maximum angle of the slope that the truck can climb at a constant speed if the crate is to stay in place is 21.8°.

This is the angle of the slope at which the gravitational force is balanced by the static frictional force.

The weight of the crate is:

W = mg = 20 kg × 9.8 m/s² = 196 N.

The normal force that is exerted on the crate by the truck bed is:

Fg = mgcosθ

Ff = μFn = μmgcosθ

The frictional force is acting in the opposite direction to the motion of the truck. So, in this case, it opposes the gravitational force. Hence, the maximum angle of slope that the truck can climb at a constant speed if the crate is to stay in place is given by:

Ff = Fg ⇒ μmgcosθ = mg sinθ ⇒ tanθ = μcosθ ⇒ θ = tan⁻¹μ = tan⁻¹(0.400) = 21.8°

The maximum angle of the slope that the truck can climb at a constant speed if the crate is to stay in place is 21.8°.

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Mars has a mass of 6.4 x 10^23 kg. It has a moon named Photos with a mass of kg. 1.07 x 10^16 a. If their centers are 9400 km apart, what is the force of gravity acting on Phobos? (2 points)​

Answers

the force of gravity acting on the Phobos will be 5.169 * 10¹² N.

What is Gravitational force?

Gravitational force is the attractive force exerted by the earth on all the objects in the universe. An example of gravitational force is when a ball is thrown upwards, it falls back on the ground because of gravitational force.

Given,  A natural satellite of mass 1.07*10⁶ kg orbits Mars

Since the mass of mars is  6.4 x 10^23 kg

From the general formula of gravitational force

Gravitational force = m *m'*G/ r²

In our case,

m = 1.07*10⁶ kg

m' = mass of mars =  6.4 x 10^23 kg

r = distance between the centres = 9400 km

Thus,

Gravitational force = (6.67*10⁻¹¹* 6.4 x 10²³* 1.07*10⁶)/9400²

Gravitational force = 5.169 * 10¹² N

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A subpanel in an older house that is wired with non-metallic sheathed cable (nm) has one circuit with a grounding wire. the grounding wire:_____.

Answers

A subpanel in an older house that is wired with non-metallic sheathed cable (nm) has one circuit with a grounding wire. the grounding wire should be connected to a separate grounded buss bar.

Brass, Aluminum or Copper Bus bars are metal strips or rods. They come in a variety of shapes and sizes that determine the maximum current (ampacity) they can carry safely and reliably. This also means that it is important to install the best one for a particular application.

Its job is to receive power from the delivery point and distribute it to the output circuits. However, unlike cables, no insulation is usually required. Busbars are often arranged in separate housings. Bus bars are used as nodes or nodes in power distribution applications and can be housed in switchgear or control cabinets and bus bar enclosures.

The grounding bar is used in environments where a common grounding point or grounding point is required or required in the distribution network. One of the main advantages of brass, aluminum, or copper grounding bars is that they can be placed anywhere on the chassis or rack.

This makes installation faster and more efficient than cables. A grounded (or neutral) bus reduces the need for regular maintenance and reduces the risk of downtime. This is very important in industries where uninterrupted power distribution is essential. Telecom and power supplies are two prominent examples.

However, it is not uncommon for some neutral bus bars to have insulation.

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convert 1074022,08 (tonnes/ year) to (kmol/second)

Answers

1074022.08 tonnes/year is equivalent to 340 kmol/second assuming an average molar mass of 100 g/mol.

To convert 1074022.08 tonnes/year to kmol/second, we need to consider the molar mass of the substance involved. Since the question does not specify the substance, let's assume we are converting a substance with an average molar mass of 100 g/mol.

First, convert tonnes/year to kilograms/second by dividing by 31,536,000 (the number of seconds in a year). Thus, 1074022.08 tonnes/year is equivalent to 34 kg/s.

Next, convert kilograms to moles by dividing by the molar mass. In this case, dividing 34 kg/s by 0.1 kg/mol (since 100 g/mol is equivalent to 0.1 kg/mol) gives us 340 kmol/s.

1074022.08 tonnes/year is equivalent to 340 kmol/second when assuming an average molar mass of 100 g/mol.

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A thin lens of focal length 68 cm forms a real image 4.6 times as high as the object. How far apart are the object and image? Answer in units of cm.

Answers

A thin lens of focal length 68 cm forms a real image 4.6 times as high as the object. The object and image are approximately 299.13 cm apart.

To solve this problem, we can utilize the lens formula:

1/f = 1/v - 1/u

where f is the focal length of the lens, v is the image distance, and u is the object distance. Given that the focal length (f) is 68 cm, we can proceed to find the image and object distances.

Let's assume the height of the object is "h." Since the problem states that the real image formed is 4.6 times as high as the object, the height of the image is 4.6h.

Now, using the magnification formula:

magnification (m) = height of the image (h') / height of the object (h) = -v/u

Given that the magnification is 4.6, we can write:

4.6 = 4.6h / h = -v / u

Simplifying this equation, we get:

-4.6u = v

Now, substituting the values into the lens formula, we have:

1/68 = 1/(-4.6u) - 1/u

To solve for u, we can combine the fractions:

1/68 = (-1 + 4.6) / (-4.6u)

1/68 = 3.6 / (-4.6u)

Cross-multiplying, we find:

-4.6u = 3.6 * 68

Simplifying further:

-4.6u = 244.8

Dividing both sides by -4.6, we get:

u ≈ -53.39 cm

Since the object distance cannot be negative, we take the magnitude of the value:

u ≈ 53.39 cm

Now, we can substitute the value of u into the magnification equation to find v:

4.6 = -v / 53.39

Cross-multiplying and solving for v, we find:

v ≈ -245.74 cm

Taking the magnitude of v, we have:

v ≈ 245.74 cm

To find the distance between the object and image, we add the magnitudes of u and v:

53.39 + 245.74 ≈ 299.13 cm

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1. The International unit of volume closest in size to a liter is:
a. gallon.
b. Ounce
c. Liter
d. cup.

Answers

The customary system of measurement is used, in which a gallon is the closest unit of volume to a liter. Option (A) is correct.

The International unit of volume closest in size to a liter is: Liter. The definition of liter, which is the International System unit of volume is "a volume of 1000 cubic centimeters." Since the International System unit of volume is "a volume of 1000 cubic centimeters," the International unit of volume closest in size to a liter is the liter.

In everyday life, liters are frequently utilized to calculate the volume of liquid or dry matter. The liter is used in science and technology for calculations and information storage. A container that holds 1 liter of water is the same as a 1 liter container that holds oil or flour.A liter is abbreviated as "L" or "l" in scientific notation.

It's also abbreviated as "ℓ" (which looks like a script lowercase letter "L") on the Internet, but this is not widely used. In most countries, the metric system of measurement is used for quantity, weight, and volume. In the United States, Liberia, and Myanmar, however, the customary system of measurement is used, in which a gallon is the closest unit of volume to a liter.

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a 1500 kg car is traveling at 20 m/s rounds a curve so that it’s centripetal force is 7500 n. what is the radius of the curve

Answers

The radius of the curve is 80 m when its centripetal force is 7500 N.

Given Information:  

Mass of the Car (m) = 1500 kg

The velocity of the Car (v) = 20 m/s

Centripetal Force (F) = 7500 N.

Now, Centripetal Force is given by,

\(F = \frac{mv^{2} }{r}\)

Putting all these values in the formula for centripetal force,

\(7500 = \frac{1500*20^{2} }{R}\)

\(R = \frac{1500 * 400}{7500} = 80\)

Hence, the radius of the curve is 80 m.

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in terms of axial tilt, which of the jovians shows us the largest inclination?

Answers

Uranus has the largest axial tilt or inclination.

Among the jovian planets (Jupiter, Saturn, Uranus, and Neptune), Uranus has the largest axial tilt or inclination. Uranus is known for its extreme axial tilt of approximately 98 degrees. This means that the axis around which Uranus rotates is almost parallel to its orbital plane around the Sun. As a result, Uranus experiences extreme seasons, with one pole constantly facing the Sun for a prolonged period while the other pole remains in darkness. The large axial tilt of Uranus distinguishes it from the other jovian planets, which have relatively smaller axial tilts.

Out of these four planets, Uranus has the largest axial tilt, with a tilt of approximately 97.8 degrees. This means that its rotational axis is almost parallel to its orbital plane. As a result, the polar regions of Uranus receive more sunlight than the equatorial regions during different parts of its orbit, leading to some unusual weather patterns and phenomena.

Jupiter has an axial tilt of only 3.13 degrees, Saturn has a tilt of 26.73 degrees, and Neptune has a tilt of 28.32 degrees. Therefore, Uranus has the largest inclination or axial tilt of all the Jovian planets.

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Drag the tiles to the correct boxes to complete the pairs.
Match the following astronomers to their contributions.
Galileo Galilei
Albert Einstein
Henrietta Swan Leavitt
Edwin Hubble
Georges Lemaître
theorized that the universe had a beginning
showed that the universe was expanding
demonstrated a method to calculate the distance of celestial bodies
was the first to use a telescope to observe the planets
huit a model of the inverse haced on relativity
2020 Edmentum. All rights reserved.

Answers

Answer:

Georges Lemaître  - theorized that the universe had a beginning

Albert Einstein  - huit a model of the inverse haced on relativity

Galileo Galilei  - was the first to use a telescope to observe the planets

Edwin Hubble  - showed that the universe was expanding

Henrietta Swan Leavitt  - demonstrated a method to calculate the distance of celestial bodies

is my choices report if wrong

Galileo Galilei was the first to use a telescope to observe the planets

Albert Einstein built a model of the universe based on relativity

Henrietta Swan Leavitt demonstrated a method to calculate the distance of celestial bodies

Edwin Hubble showed that the universe was expanding

Georges Lemaître theorized that the universe had a beginning

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, The first person to observe the planets through a telescope was Galileo Galilei.

Based on relativity, Albert Einstein created a model of the universe.

A technique to determine the separation between celestial bodies was demonstrated by Henrietta Swan Leavitt.

Edwin Hubble demonstrated the expansion of the universe

According to Georges Lemaître, the universe had a beginning.

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what is the kinetic energy of an object with a mass of 80 kg and velocity of 12 m/s east?

Answers

Answer:

KE = 1296 J

Explanation:

what is the volume of the cone to the nearest whole number? responses a 283 m3283 m 3 b 94 m394 m 3 c 31 m331 m 3 d 188 m3

Answers

So, the volume of cone of whole number is 94.

Frist step should be: To find the volume First, take the measurement of the diameter (broad measurement you can take of the base), then measure or evaluate the height. If you earlier have plans or schematics, just get the lengths from there.

change the length units to the same base, e.g., centimeters or inches, then follow the formula above or use our online volume of a cone calculator.

The output is all the time in cubic units, e.g., cubic feet, cubic inches, cubic yards, cubic mm, cubic cm, cubic meters, and so on.

The cone is not as famous as some other bodies in construction and engineering, but it has its uses.

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HELP ASAP PLEASE ! Which terms best describe what happened to the light in the image below?

Select all that apply.
A dispersion

B reflection

C diffraction

D refraction

HELP ASAP PLEASE ! Which terms best describe what happened to the light in the image below?Select all

Answers

Answer: A) and D)

Explanation:

ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m

Answers

Answer:

2. 1.85

Explanation:

the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85

How does your collected data help you to see if you meet your criteria for success

Answers

Collected data plays a crucial role in evaluating whether the criteria for success have been met. By analyzing the collected data, one can assess the progress made towards achieving the desired goals and determine if the criteria have been fulfilled.

Data provides an objective measure of performance or outcomes, allowing for an evidence-based assessment of success. It helps to quantify and track key metrics or indicators related to the criteria for success. By comparing the actual data with the predetermined benchmarks or targets, one can determine if the criteria have been met or if further improvements are required.

Data analysis also enables the identification of trends, patterns, and correlations, providing insights into the factors influencing success. It helps in identifying areas of strength and areas that need improvement. Additionally, data can be used for comparative analysis, benchmarking against previous periods or similar projects, to gain a broader perspective on success.

In summary, collected data provides an objective basis for evaluating progress and success by comparing actual performance against predetermined criteria, identifying areas of improvement, and gaining insights for future decision-making.

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X rays, because they have more energy, travel through space faster than visible light.TrueFalse

Answers

X-rays are a form of electromagnetic radiation that have higher energy than visible light. As a result, X-rays travel through space at a faster speed than visible light.  True.

This is because X-rays have a shorter wavelength and higher frequency than visible light, which gives them more energy.

The speed of light in a vacuum is a fundamental constant of nature and is the same for all forms of electromagnetic radiation, including X-rays. However, X-rays can travel faster through materials that are denser than air, such as metal or dense materials, because they can penetrate these materials more easily.

Therefore, X-rays travel through space faster than visible light due to their higher energy and shorter wavelength, but they may travel more slowly through certain materials in the presence of a medium.  

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another structure that most cells have in common is

Answers

Answer:

All cells share four common components: (1) a plasma membrane, an outer covering that separates the cell's interior from its surrounding environment; (2) cytoplasm, consisting of a jelly-like region within the cell in which other cellular components are found; (3) DNA, the genetic material of the cell; and (4) ...

Explanation:

i took the test

which would be an example of biopsychology​

Answers

A psychiatrist prescribes medication for depression.

Biopsychology examines topics including how your eyes are able to inform your mind what you're reading, how the mind translates this information, and the way your brain communicates along with your hand to transport the mouse and click on distinct hyperlinks. Biopsychology is a branch of psychology that analyzes how the brain, neurotransmitters, and other elements of our biology influence our behaviors, thoughts, and emotions.

Biopsychologists try and recognize the connection between the mind and apprehensive gadget and their relationship to behavior. Biopsychologists are outstanding among different psychologists because they observe the whole range of mental phenomena but continually from an organic perspective. it's miles their behavioral orientation and know-how that make their contribution to neuroscience unique.

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As shown in the picture above, a sled of mass 67 kilograms is pulled
horizontally to the right by a rope which exerts 800 N of force. As a
result, the sled moves at a constant velocity. The coefficient of kinetic
friction between the sled and the ground is (round to nearest hundredth
(2nd decimal place i.e. 0.18).

Answers

Explanation:

F net of sled = Tension force by rope - Kinetic friction between ground.

F normal of sled = mg = (67kg)(9.81kg/m^2) = 657.27N.

Kinetic friction = 0.18 (I cannot see the value) * Normal force of sled = 0.18 * 657.27N = 118.31N

So F net of sled = 800N - 118.31N = 681.69N.

(I cannot see what the question is asking for, please check on your own!)

What are the two action-reaction force pairs when a ball is hung by a string?
Describe the direction of each of the four forces and the objects that exert those forces. Include whether they are contact or noncontact forces.

Answers

When a ball is hung by a string, there are two action-reaction force pairs:

1. The force of the ball pulling down on the string is equal in magnitude and opposite in direction to the force of the string pulling up on the ball. The direction of the force of the ball pulling down on the string is downwards, while the direction of the force of the string pulling up on the ball is upwards. Both of these forces are contact forces.

2. The force of the string pulling down on the attachment point (such as a hook or a nail) is equal in magnitude and opposite in direction to the force of the attachment point pulling up on the string. The direction of the force of the string pulling down on the attachment point is downwards, while the direction of the force of the attachment point pulling up on the string is upwards. Both of these forces are contact forces.

In summary, when a ball is hung by a string, there are two action-reaction force pairs: the force of the ball pulling down on the string and the force of the string pulling up on the ball, and the force of the string pulling down on the attachment point and the force of the attachment point pulling up on the string.



What is the net force of a scooter acting on the road with an impulse of 550 Ns for 10s.

Answers

Answer:

55N

Explanation:

Impulse is the product of Force and Time

Impulse = Force * Time

Given

Impulse = 550Ns

Time = 10s

Force = Impulse/Time

Force = 550/10

Force = 55N

Hence the net force on the scooter is 55N

Look at the diagram. The electricity supplier charges 14p per unit. How much did this electricity cost over the 24 hour period

Look at the diagram. The electricity supplier charges 14p per unit. How much did this electricity cost

Answers

Total units

31487-3146323units

Cost°

14(23)$322

two charges, each of magnitude 4.02 c, are placed at the ends of a meter stick. find the electric potential (relative to infinity) at the 39.7 cm mark of the meter stick.

Answers

At the 39.7 cm mark on the meter stick, the electric potential (relative to infinity) is -140.74 x 106 V.

What does "electric potential" mean?

Electric potential is the effort required to transport an units charge from one place to another in the presence of an electric field. Earth is typically chosen as the reference point, but any location outside the range of the applied electric charge can be used. potential electricity.

Let the negative charge be located at the left end of the meter stick and the positive charge at the right end. E = kq / x2, where k is the Coulomb constant (8.99 x 109 Nm2/C2) and q seems to be the charge at the left end of the meter stick, can be used to calculate the electric field at a location x cm from the left end of the meter stick (4.02 C).

The following equation can be applied to compute the electrical potential difference seen between left end of the meter stick & infinity:

ΔV left = -kq / d = -kq / 100 cm = -kq / 0.01 m = -8.99 x 10^9 Nm^2/C^2 * 4.02 C / 0.01 m = -359.57 x 10^6 V

Similarly, the electric potential difference between the right end of the meter stick and infinity can be calculated as:

ΔV right = kq / d = kq / 100 cm = kq / 0.01 m = 8.99 x 10^9 Nm^2/C^2 * 4.02 C / 0.01 m = 359.57 x 10^6 V

The total electric potential difference between the 39.7 cm mark and infinity can then be calculated as:

ΔV_total = ΔV_left + ΔV_right * (100 cm - 39.7 cm) / 100 cm = -359.57 x 10^6 V + 359.57 x 10^6 V * (100 cm - 39.7 cm) / 100 cm = -359.57 x 10^6 V + 218.83 x 10^6 V = -140.74 x 10^6 V

Therefore, the electric potential (V) at the 39.7 cm mark relative to infinity can be calculated as:

V = ΔV_total = -140.74 x 10^6 V

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fill in the blanks
8) Kinetic energy is the energy of ________.



9)The potential energy of an object depends on its ________ and its height.



10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.

Answers

Answer: Kinetic energy is the energy an object has because of its motion

(if it needs to be a one worded answer than just type motion)

The potential energy of an object depends on its mass and its height.

The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.

Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.

As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.

Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes. JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make?

Answers

Answer:

9/20

Explanation:

According to this question, Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes while JoJo made 42 cupcakes. This means that in total, (42 + 35) cupcakes has been made by both Lucy and JoJo

That is, 77 cupcakes out of 140 has been made. This is 77/140 i.e. 11/20

Since 77/140 cupcakes has been made, Lucy and JoJo still need to make;

140 - 77 = 63 cupcakes to meet up their target for the school dance.

This means that the fraction left is 63/140

63/140 in its lowest term is 9/20

Hence, 9/20 of the cupcakes still need to be made by Lucy and JoJo.

Explanation: 140 - 35 = 105 - 42 = 63

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