with what minimal horizontal velocity must the cliff divers leave the top of the cliff is they are to miss the rock?

By using uniform motion, the time taken is 1.25 seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

F = 8 N

m = 2 kg

vo = 2 m/s

vt = 7 m/s

Find the acceleration by second Newton's Law

F = m.a

8 = 2 . a

a = 4 m/s²

Find the time taken

vt = vo + a . t

7 = 2 + 4t

4t = 5

t = 1.25 seconds

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Answer:

60N

Explanation:

Fnet=m.a

Fnet=(20)(3)

Fnet=60N

A monounsaturated fatty acid is a 14 carbon-long hydrocarbon chain with a single c=c double bond between the third and fourth carbon and carboxyl group at one end.

MUFAs, or monounsaturated fatty acids, are a form of unsaturated fat. Fatty acids are lipid macromolecules composed of a hydrocarbon and a terminal carboxylic acid. Fatty acids are classed as lipids because they are nonpolar and hydrophobic. It can be used as an energy source by the organism through beta-oxidation in the mitochondria. Triacylglycerol also contains fatty acids. The term "mono," which means "one," refers to the fact that monounsaturated fats have only one double bond. Plant foods and animal products both include monounsaturated fat.

Olive oil is a healthy example of monounsaturated fat that many people are familiar with. At normal temperature, these lipids are generally liquid, but when cold, they solidify. Monounsaturated fats, like all other forms of fats, include nine calories per gram. Myristoleic acid is the chemical name for a 14-chain monounsaturated fatty acid (MUFA).

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The activity of the source in Becquerel is 333.3Bq

The number of nuclei that disintegrate or decay per unit time is known as Activity.

Given that a sample of radioactive material emits 400000 particles over a period of 20 minutes.

Activity A = dN/dt

A = 400000 / 1200

A = 333.3 particles / s

A = 333.3 Bq

Therefore,

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Option B) cost driver

10-9 In a cost function, the dependent variable and the cost driver are the lines of causality. In the high-low strategy, picking the highest and lowest observations of the cost driver is therefore suitable.

If the highest and lowest activity levels reflect the company’s general cost pattern, the high-low technique can be reasonably accurate. However, the high low technique will give false results if the two extreme activity levels are systematically different.

Find the activity with the highest cost and highest operational unit.

Add the highest activity to the variable cost per unit.

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Jams, marmalades, preserves, and conserves are fruit merchandise preserved with the aid of sugar. these merchandises fluctuate in gel consistency, substances, and the way the fruit is ready. they're easy to make at home. Jams are made from crushed or ground fruit and commonly have a thick consistency due to excessive pectin content material.

Jelly is a semisolid aggregate of fruit juice and sugar that is clear and firm enough to hold its form. The fruit gives every unfold its precise flavor and color. It additionally components the liquid to dissolve the relaxation of the important elements and furnishes some or all of the pectin and acid. high best, flavorful fruits make the fine jellied merchandise.

Marmalade is a fruit hold crafted from the juice and peel of citrus end result boiled with sugar and water. it is able to be made out of lemons, limes, grapefruits, mandarins, sweet oranges, bergamots, and other citrus end results, or any aggregate thereof marmalades.

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Considering the defintion of area of a rectangle and multiplication in scientific notation, the area of the lake is 7.2×10⁷ m².

Area is the measure of the region or surface enclosed by a geometric figure.

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.

The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:

Area of a rectangle= a×b

where a and b are the measures of the two sides.

In this case, you know that a rectangular lake has:

Then, the area of the lake can be calculated as:

Area of the lake= 6.0×10³ m× 1.2×10⁴ m

To multiply numbers in scientific notation, you multiply the numbers that are not powers of 10 and add the exponents that are powers of ten. In this case:

Area of the lake= (6.0× 1.2)×10³⁺⁴ m²

Area of the lake= 7.2×10⁷ m²

Finally, the area of the lake is 7.2×10⁷ m².

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NADH carries the electrons from NADH dehydrogenase to cytochrome c reductase.

Nicotinamide adenine dinucleotide (NAD) and hydrogen (H) are two molecules that naturally occur in the body and are involved in the chemical reaction that produces energy. Supplements containing NADH are used medically.

NADH is used to treat dementia and Alzheimer's disease as well as to enhance mental clarity, alertness, attention, and memory. NADH is utilized to treat chronic fatigue syndrome and enhance athletic performance due to its function in energy production (CFS).

Our bodies' production of NADH is involved in the body's process of generating energy. While there is some data that supports NADH supplements may lower cholesterol, lower blood pressure, aid in the treatment of chronic fatigue syndrome by supplying energy, and improve Parkinson's disease patients' nerve signals.

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NADH carries the electrons from NADH dehydrogenase to cytochrome c reductase.

Nicotinamide adenine dinucleotide (NAD) and hydrogen (H) are two molecules that naturally occur in the body and are involved in the chemical reaction that produces energy. Supplements containing NADH are used medically.

NADH is used to treat dementia and Alzheimer's disease as well as to enhance mental clarity, alertness, attention, and memory. NADH is utilized to treat chronic fatigue syndrome and enhance athletic performance due to its function in energy production (CFS).

Our bodies' production of NADH is involved in the body's process of generating energy. While there is some data that supports NADH supplements may lower cholesterol, lower blood pressure, aid in the treatment of chronic fatigue syndrome by supplying energy, and improve Parkinson's disease patients' nerve signals.

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A side of any triangle is less than the sum of the other two sides so the third side must be less than 24cm.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

In any triangle, the sum of two sides is always greater than the third side.

If the third side is equal to the sum of two sides then it will be a straight line rather than a triangle.

It means 10 + 14 > third side

24 cm > third side

Hence "A side of any triangle is less than the sum of the other two sides so the third side must be less than 24cm".

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A cyclist who accelerates steadily from a stop to 15 km/hr in 72 seconds would reach 4.167 meters per second after 55 seconds.

The total displacement covered by any object per unit of time is known as velocity.

As given in the problem a bicyclist accelerates at a constant rate from a standstill to 15 km/hr in 72 sec.

15 kilometers / hour = 15×1000 /3600

                                 =4.167 meters / seconds

v = u + at

4.167 = 0 +a*72

a =4.167/72

a = 0.05787 meters /second²

Speed after 55 seconds = 0.05787*55

                                                                         =3.18285 meters/ seconds

Distance after 72 seconds,

s = ut + 0.5at²

  =0 + 0.5× 0.05787×72²

  =150 meters

Thus, the bicyclist would have traveled 150 meters after 72 seconds.

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A 2.0 micr of capacitor that is initially uncharged is charged through a 50-kilo ohm resistor, it will take a time of 2.3sec to charge 90%.

C or Q may be equal. Thus, the charge needed to raise a conductor’s potential through unity is numerically equivalent to the conductor’s capacitance.

There is no current flowing across the circuit when a capacitor is fully charged. This is true because the voltage source’s potential difference across the capacitor is also equal.

In other words, the charging current reaches zero and the capacitor voltage equals the source voltage.

The charge present on the capacitor is changing in time as follows:

q(t)=qo (1−e−tRC)

Here,

• qo is provided as the maximum charge on the capacitor.

• R=50000 Ω is the resistor value.

• C=2⋅10−6 F is the capacitance of the capacitor.

Solving for the time, we obtain:

t=−RCln(1−qq0)

Here,

• q=0.9qo is the charge on the capacitor at the moment t;

The Computation yields:

t=−5⋅10^4Ω⋅2⋅10^-6 F⋅ln(1−0.9q0)

≈0.23 s

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Answer:

Any object that is falling through the air is called a projectile

A measure of the number of links between one object and another object in a relationship is called the cardinality.

The number of cardinal (fundamental) members of a set is referred to as cardinality. A non-negative integer can have a limited or infinite degree of cardinality. For instance, the number of people living in the United States has a cardinality of about 270,000,000, whereas the number of integers has an unbounded cardinality.

Think about set A. If A only contains a limited number of elements, then A's cardinality is equal to A's element count. For instance, |A|=5 if A=2,4,6,8,10.

The empty set has a cardinality of 0, which is zero. When we write #=0, it means either "the cardinality of the empty set is zero" or "the empty set has no elements."

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When atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

Atoms can combine with each other through sharing of the electrons, donating the electrons etc. to make molecules.

When atoms combine by forming covalent bonds, the resulting collection of atoms is called a molecule. We can therefore say that a molecule is the simplest unit of a covalent compound.

Thus, when atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.

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By using Hooke's Law, the work done is 400 joule.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The potential energy of spring can be determined as

PE = 1/2 . k . x²

where PE is potential energy

From the question above, we know that

PE1 = 100 J

x1 = 1 m

x2 = x1 + 1 m = 2 m

Potential energy is proportional to squared displacement, the ratio of PE can be written as

PE1 / PE2 = x1² / x2²

100 / PE2 = 1² / 2²

PE2 = 400 joule

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The radius of the wire in millimeters is 0.33 mm.

The length of the copper wire is l.

l = 40.93 cm

The mass of the copper wire is m.

m = 1.141 g

The density of the copper is p.

p = 8.933 g/cm³

The volume of the copper of the wire is,

[tex]Density = \frac{ Mass}{ Volume}[/tex]

[tex] Volume = \frac{Mass}{ Density}[/tex]

[tex]v = \frac{m}{p} [/tex]

[tex]v = \frac{1.141}{8.933}[/tex]

= 0.15 m³

The volume of the copper wire is 0.15 m³.

The radius of the copper wire is,

The volume of the wire = π × (radius)² × height

v = π × r² × l

[tex]r ^{2} = \frac{v}{\pi \times l} [/tex]

[tex] r ^{2} = \frac{7 \times 0.15}{22 \times 40.933} [/tex]

r = 0.033 cm

The radius of the copper wire is 0.033 cm.

The radius of the copper wire in millimeters is,

1 cm = 10 mm

0.033 cm = 0.33 mm

Therefore, the radius of the wire in millimeters is 0.33 mm.

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The faraway was that reflected the sound of gunshot is 510m.

A sort of energy created by vibrations is sound. The vibration of an object causes the molecules of the air around it to move. These molecules collide with molecules nearby, causing those molecules to vibrate as well. As a result, they collide with more surrounding air molecules. Divide the sound's speed by the amount of time needed to hear the echo to determine how far the surface is. 1020 m/s equals 340 m/s divided by 3 s.

1020/3= 340 m/s

The distance should be divided by 2, though, as the sound is reflected. Received upto

510m that is

1020/2 = 510m

In order to evaluate the exposure to gunfire sound, the peak sound pressure level (SPL), spreading of the pressure wave, and other physical features of the impulse noise from firearms were researched in real-world shooting scenarios

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The area of the dog run in square meters is 86.4 m².

The area of a given shape is the amount of space enclosed within the given shape.

The area of different shapes is calculated using different formulas.

Some formulas for calculating the area of shape area;

The given exercise area is a rectangle.

The area of the exercise area = length * breadth

Length = 27 m

breadth = 3.3 m

Area = 27 * 3.2

Area = 86.4 m²

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The results tell you about your hypothesis and whether the assumptions about the problem are correct and aligned with the experimental results or not.

Scientific claims are statements made in science based on an experiment.

If your theory is confirmed, you may come up with methods to improve it and test those ideas. In either case, the act of experimenting frequently generates entirely new issues to research.

The outcomes inform you of your hypothesis and whether or not your problem-solving presumptions are accurate and consistent with the experimental outcomes.

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The percent uncertainty in the measurement ( 5.8 ± 0.25 m) is 4.31%.

By definition, a percentage is a value out of a possible 100. The measurement's absolute error is multiplied by the measurement's value to determine the percentage. The result is then multiplied by 100.

Percent uncertainty:

Uncertainty is stated as a percentage, or fractional uncertainty is fractional uncertainty multiplied by 100.

Consider the measurement,

5.8 ± 0.25 m

Let 5.8 ± 0.25 m = x ± Δx

Then,

x = 5.8 and Δx = 0.25

The percent uncertainty will be:

% uncertainty = [ Δx / x ] × 100

% uncertainty = [ (0.25 m) / ( 5.8 m) ] × 100

% uncertainty = ( 0.04310344827 ) × 100

% uncertainty = 4.31 %

Therefore, the percent uncertainty of the measurement 5.8 ± 0.25 m is 4.31 %.

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By the half-life of radioactive, the Iodine-131 experienced 15 half-lives.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 8 min

t = 120 min

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = No(1/2)^(120/8)

N = No / 32768

As we know that half-lives is (No / (2^n)), Hence

N = No / 32768

N = No / 2^(²log(32768))

N = No / 2¹⁵

Hence, the Iodine-131 experienced 15 half-lives.

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The scales readings are 1133.3 N and 566.6 N.

Weight = 1700 N

Calculating the scale reading is necessary.

We are aware that he weighs twice as much on one scale, for a total of 1700 N. These can be expressed as two concurrent equations.

W=scale1+scale2

1700=scale1+scale2...(i)

scale1=2x scale2...(ii)

Put the value from equation (II) into equation (I)

1700=2x scale2+scale2

1700=3scale2

[tex]scale2=\frac{1700}{3}[/tex]

scale2= 566.66 N

Put the value from equation (II) into equation (I)

1700= scale1+566.66

scale1= 1700-566.66

scale1= 1133.33N

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1.6133 long will take it to drift than that at present.

We use V = S/T

Where v = velocity

S= distance

T= time

We can rework this to T=S/V

Given that 3cm/y converts into m

1m = 0.01 *3

3m/y

1km = 1000m

484000 m

Now, T=S/V

T = 484000/0.03

T = 16133333.33 x [tex]10^{-7}[/tex]

T = 1.6133

about 3 cm per year

SSM Due to continental drift, the North American and European continents are drifting apart at an average speed of about 3 cm per year.

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The symbol of the element helium is He, its proton number is 2, its atomic mass is 4, its neutron number is 2 and finally; helium belong to period 1 of the periodic table.

However, helium is a noble gas, meaning it has a stable octet electronic configuration ( having 8 valence electrons)

According to the periodic table, helium belong group 0 of the periodic table which is the 8th group. It belongs to period 1

A chemical element refers a chemical substance which cannot be split into simpler units by chemical ordinary means.

Elements in the periodic table are generally categorized as metals, nonmetals and metalloids.

In addition, an atom is the smallest part of element which can take part in a chemical reaction.

Some examples of elements are as follows including their symbols

So therefore, the symbol of the element helium is He, its proton number is 2, its atomic mass is 4, its neutron number is 2 and finally; helium belong to period 1 of the periodic table.

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By ideal gas approximation, the pressure will rise until 1.25 times greater than the initial pressure.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

T1 = 25 ⁰C = 298 K

T2 = 100 ⁰C = 373 K

Assume that P1 = P

When the initial and final temperature is the same, we can use the ratio of pressure and temperature as

P1 / T1 = P2 / T2

P / 298 = P2 / 373

P2 = 1.25 P

Hence, the pressure will rise until 1.25 times greater than the initial pressure.

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Answer: The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.

Explanation:

Answer: The Slope method calculates the flowrate of material in each stream from the slope of the moving cumulative sum with respect to time.

Explanation: hope this helps!!!!

The person running from rest that catch up the bicycle in 30 s has an acceleration of: 0.66 m/s²

The formulas and procedures we will use to solve this exercise are:

Where:

Information about the problem:

Applying the velocity formula and clearing the distance we have:

v = x/t

x = v * t

x(bicycle) = 10 m/s * 30 s

x(bicycle) = 300 m

With the distance the bicycle has traveled  in 30 s we can calculate the person's acceleration

Applying the acceleration formula we have:

a = 2 * [x - (vi * t)] / t²

a = 2 * [300 m - (0 m/s * 30 s)] / (30 s)²

a = 2 * [300 m - (0 m)] / 900 s²

a = 600 m - 0 m / 900 s²

a = 600 m / 900 s²

a = 0.66 m/s²

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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According to electromagnetic waves, the wavelength of light is 410.96 nm.

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

f = 7.3 x 10¹⁴ Hz

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

c = λ . f

λ = c / f

λ = 3 x 10⁸ / 7.3 x 10¹⁴

λ = 4.1096 x 10¯⁷ m

λ = 410.96 x 10¯⁹ m

λ = 410.96 nm

Hence, the wavelength of the light is 410.96 nm.

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