A slab of ice (density = 920 kg/m3, volume = 0.725 m3) floats on a freshwater lake. what is the maximum mass that a woman can have in order that she can stand on the ice without getting her feet wet?

The magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.

A unit vector is a type of quantity that has both magnitude and direction.

A unit vector can also be described as a single vector that can represent two vectors in terms of magnitude and direction.

A resultant vector is defined as a single vector that produces the same effect as is produced by a number of vectors collectively.

The unit vector of the two forces is calculated as follows;

R² = Fx² + Fy²

where;

R = √( Fx² + Fy²)

R = √( 100² + 153.2²)

R = 182.95 N

The direction of the vector is calculated as follows;

θ = arc tan (Fy/Fx)

θ = arc tan (153.2 / 100)

θ = 56.87⁰

Thus, the magnitude of the unit vector of the forces is 182.92 N and the direction is 56.87⁰.

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Nuclear fusion can release large amounts of energy is the True statement.

The nuclear fusion reaction occurs when two or more atom combine together to form a heavier atom. For example, when two hydrogen atoms fuse to form one helium atom.

This is the same process that powers the sun and creates huge amounts of energy several times greater than fission. It also doesn't produce highly radioactive fission products.

The nuclear fusion reaction releases large amount of energy, because Fusion reactions have an energy density many times greater than nuclear fission.

The reactions that produces far greater energy per unit of mass but even though the individual fission reactions are generally much more energetic than individual fusion ones, which are themselves millions of times more energetic than chemical reactions.

Thus, the statement is True.

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Answer:

I don't have the full details so... Position 1 + Position 2

That's if "0" doesn't count as a position.

Explanation:

"What was the distance traveled" is basically "how much did you travel?"

e.g. Position 1 was 12 miles, and Position 2 was 7. 12 + 7 = 19.

there was once a crab name mr crabs who had to go to the docter one day . mr crabs is a an animal in the arthropods phylum which was not surpising since he has 10 jointed legs

Traditional classifications of arthropods place them in the Trilobitomorpha (Trilobites), Chelicerata, Crustacea, Myriapoda, and Hexapoda subphyla.

Arthropod species make up more than 80% of all known extant animal species, with estimates ranging from 170,000 to 5–10 million.

On Earth, arthropods are regarded as the most successful creatures.

Arthropods, however, are also in charge of a number of helpful human functions, including crop pollination, honey production, devouring or parasitizing insect pests, garbage decomposition, and serving as food for various birds, fish, and mammals. Beneficial arthropods flourish in agricultural areas.

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(i) Max height is 122.5 meters.

(ii) Total time is 10 seconds.

The magnitude of the electric field e(r) at a distance r>rb from the center of the ball is [tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex].

Gauss's law, often referred to as Gauss's flux theorem, is a principle of physics and electromagnetic that establishes a connection between the distribution of electric charge and the consequent electric field.

Applying gauss law,

[tex]E = \frac{q}{E_{0}(4\pi R^{2}) }[/tex]

[tex]q =p(\frac{4}{3} \pi r_{b}^{3} )[/tex]

Now, plugging in the values of  [tex]q =p(\frac{4}{3} \pi r_{b}^{3} )[/tex] in the equation: [tex]E = \frac{q}{E_{0}(4\pi R^{2}) }[/tex]

[tex]E = \frac{p(\frac{4}{3}\pi r_{b} ^{3}) }{E_{0}(4\pi R^{2}) }[/tex]

[tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex]

Therefore, the magnitude of the electric field e(r) at a distance r>rb from the center of the ball is [tex]E = p \frac{r_{b}^{3} }{3E_{0} r^{2} }[/tex].

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The thickness of an anti-reflective coating is 96 nm.

Define Wavelength?

The wavelength in waves is defined as the distance between the crests and troughs. It can be calculated in the meter in the SI system. The crest is the upper part of the wave, and the trough is the lower part.

Given that,

The index of the anti-reflective coating is n = 1.3

The wavelength is denoted as  λ = 500 nm = 500×[tex]10^{-9}[/tex]m

The expression for interference can be written as

2t = (m+½)λf

m=0 is the minimum reflection order.

λf is referred to as the wavelength of the film.

By substituting the values in the above expression we get,

2t = (m+½)λf

2t = (0+½)λf

t = λf/4 (this will noted as equation 1 for more clarity )

The wavelength of the light in a medium with refractive index can be expressed as

λf = λ/n

By substituting the values in equation1 we get,

t = λf/4

t = (λ/n)/4

t = λ/4n = 500/(4×1.3) = 96 nm.

Therefore , the thickness of an anti-reflective coating is 96nm.

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The frequency of electromagnetic waves is 22.32 x 10⁹ Hz or 22.32 GHz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 13.44 mm = 0.01344 m

By substituting the given parameter, we can calculate the frequency of microwaves

c = λ . f

f = c / λ

f = 3 x 10⁸ / 0.01344

f = 22.32 x 10⁹ Hz

f = 22.32 GHz

Hence, the frequency of radiowaves is 22.32 x 10⁹ Hz or 22.32 GHz.

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Answer:

a) 0.03km + 80 cm is the right answer

The explanation on how the rudders turn the boat​ is by redirecting the fluid  which results in an opposite force aiding the motion of the boat.

This law was coined by Isaac Newton and it states that when object X exerts a force on another object Y, the object Y must exert a form of counter force which has the same magnitude but opposite in direction.

In the case of the rudder, it redirects the fluid which then exerts an equal force of the same magnitude and an opposite direction. This thereby results in the motion of the boat and is therefore the most appropriate choice.

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(a) The new speed of the aircraft with respect to the ground is 1,539.13 mph.

(b) The direction of the aircraft is 7⁰ north east.

The new speed of the air craft is the resultant speed of the aircraft and it is calculated as follows;

R² = A² + B² - 2AB cos(R)

where;

A = 701 mph + 848 cos(13)

A = 1,527.266 mph

B = 848 x sin(13)

B = 190.76 mph

R = √(A² + B²)

R = √[(1,527.66²) + (190.76²)]

R = 1,539.13 mph

θ = arc tan (y/x) = arc tan (B/A)

θ = arc tan (190.76/1527.66)

θ = 7⁰ north east (measured anticlockwise)

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No. Since the people selected were randomly, the responders constituted  random sample from the population.

Voluntary response sample is a sample which is made up of individuals who can volunteer to be included in response sample.

For example, If a radio host asks her listeners to conduct an online survey on her website about peoples opinion of her show. Each individual listener is voluntarily deciding to take part in survey or not.

The major drawback of sampling method is that these individuals who voluntarily respond is likely to have a stronger opinion which can be positive or negative from the rest of the population which eventually makes them an un-representative sample.

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Answer:

A. They consist of one or more atoms bonded together.

Explanation:

The blurring effects of the Earth's atmosphere would decide the smallest angular size that this telescope could resolve.

The term "angular size" refers to an object's apparent size as seen from an observer on Earth. The least angular size can be affected by the magnitude of lights received by telescopes, which can be changed by the earth's hazy atmosphere. Telescopes collect and amplify light from distant objects. Earth's atmosphere substantially limits astronomical observations for two basic reasons.

First, not all atmospheric wavelengths are equally transparent, and some wavelength regimes are completely out of range for ground-based telescopes. Therefore, while developing a telescope with a specific angular size, the earth's atmosphere must be considered.

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Gay-lussac's law assumes that the volume is held constant and the number of moles is held constant.

Gay-Lussac's law states that : The pressure and the temperature of an ideal gas are directly proportional, held mass and volume remains constant.

When the volume is kept as constant, the pressure of a gas will be  directly proportional to its temperature.

The law is named after the French physicist and chemist Joseph Gay-Lussac. In 1802, Gay-Lussac formulated this law. It was a formal statement which shows the relationship between temperature and pressure which was described by French physicist, Guillaume Amonton  in late 1600’s.

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A closed end manometer is manometer must take the atmospheric pressure into account to calculate the pressure exerted by a gas.

in closed end manometer, the pressure of gas is measured by measuring the height 'h' and there is no use of atmospheric pressure here.

A manometer could be a device that we utilize to measure the pressure of the pipelines (cab be of gas, water, fluid, etc.) Moreover, it is usually referred to as a U-shaped tube that's filled with a liquid. In this point, to  examine what is it and how it works.

Types of manometer

U-Tube Manometer.

Enlarged-Leg Manometer.

Well-Type Manometer.

Inclined-Tube Manometer.

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No. it will not change.

                                 [tex]\begin{aligned}f &= \mu R\\R &= mg \cdots (\text{from vertical equilibrium})\\\therefore\,\,\,f &= \mu.mg \\f &= (\mu g). m \cdots(\text{friction varies with mass})\\\end{aligned}[/tex]      

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The effect after the current is tripled is changing the drift velocity by a factor 3.

We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as

v = I / (n . A . q)

where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.

From the question above, we know that

I2 = 3 . I1

According to drift velocity formula, the drift velocity is proportional to current

v ~ I

Hence, the ratio of drift velocity and current is

v1 / v2 = I1 / I2

substitute the final current (I2)

v1 / v2 = I1 / (3.I1)

v1 / v2 = 1 / 3

v2 = 3v1

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Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position.

Manhattan distance is a popular heuristic function for sliding-tile puzzles. It is calculated by tallying the number of moves along the grid that each tile takes to move away from its intended position. The obvious option for a heuristic function is the Euclidean (straight-line) distance, which, as far as we are aware, can never underestimate the distance but might do so if there is a target obstacle to avoid on the way there.

Any problem-solving strategy that employs a practical approach or numerous short cuts in order to provide answers that might not be ideal but are adequate given a constrained timeline or deadline is known as a heuristic, or heuristic technique.

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The symbol of the element Nitrogen is N, its proton number is 7, its atomic mass is 14, its neutron number is 7 and finally Nitrogen belong to period 2 of the periodic table.

This is defined as a substance cannot be further broken down by any chemical reaction and examples include oxygen, nitrogen etc.

Nitrogen is an element and has an atomic number of 7 with a mass number of 14 and is present in period 2 in the periodic table.

For all atoms with no charge, the atomic number is equal to the number of proton. The number of proton is also equal to the number of electron which is why they all have the same value of 7.

Neutron = atomic mass - atomic number

                = 14 - 7 = 7

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Answer:

Directly

Explanation:

The extension of the elastic object is directly proportional to the force applied.

I hope this is the answer you are looking for and I hope this helps!

When Fez engages in team activities such as running or passing the ball, they are maintaining tension with an equal force on all sides.

Any physical object that is in contact with another one can apply forces to that object. The pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object is referred to as tension. The action-reaction pair of forces acting at each end of said elements can also be referred to as tension.

The force produced when a load is applied at one or more of the ends of a material in a direction away from the material's cross-section is known as the tension force. It's common to describe a tension force as a "pulling" force. To exert a tension force on the material, the load must be applied axially.

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Answer:

Independent variable: These are the factors or conditions that you manipulate in an experiment.

Dependent variables: These are the factor that you observe or measure.

Total distance traveled by an object traveling at an average speed of

0.0470 km/h for 2min 33s is 1.99 m.

Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place.

The following equation can be used to determine the distance traveled by an object traveling at an average speed:

distance traveled = average speed * time

When is this:

Given,

average speed = 0.0470 km/h

converting average speed from km/h to m/s

                           = 0.01305556 m/s

time = 2min 33s

converting time in seconds

       = 153s

thus, we know that

distance traveled = average speed * time

                              = 0.01305556 * 153

                              = 1.99 m

Therefore, the Total distance traveled by the object is 1.99m.

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The average velocity of ladybug crawling up the wall, v = 0.1 m/s.

To find average velocity using the formula,

v = dx / dt

where,

v is average velocity

dx is distance

dt is time

So, putting the values

We have,

v = 1m / 10s

v = 0.1 m/s

The difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.

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The temperature of a 1.59l flask containing 0.175mol of Ne at a pressure of 1.09atm is 120.70 K.

How do you find the temperature of the compound?

We know that the ideal gas law uses the formula:

PV = nRT

where,

P is referred as the pressure, which is measured in atmospheres (atm),

V is referred as the volume, which is measured in cubic meter ([tex]m^{3}[/tex]),

T  is referred as the temperature, which is measured in kelvin (K),

R  is referred as the ideal gas law constant , i.e., 0.0821 atm(L)/mol(K),

n is known as the number of moles (mol).

Given that,

P = 1 atm = 101 325 Pa

  1.09 atm = 1.09 atm x 101 325 Pa/atm = 110 444 Pa

n = 0.175 mol

V = 1.59 x 10⁻³ m³

By substituting the values in the ideal gas law formula,

PV = nRT

110 444 Pa x 1.59 x 10⁻³ m³ = 0.175 mol x 8.314 Jmol⁻¹K⁻¹ x T

T = 120.70 K

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Answer:

aqueduct- as opposed to an aquifer which is a geological formation

Answer: Доброе утро, ответ 5+5="4

Explanation: