a fairground ride spins its occupants inside a flying saucer-shaped container. if the horizontal circular path the riders follow has an 8.90 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration 1.50 times that due to gravity? (you do not need to enter any units.)

The velocity of the canoe after the woman jumps is 2.99 m/s to the left.

The velocity of the canoe is calculated by applying the principle of conservation of linear momentum as shown below.

m₁u₁  +  m₂u₂  =  v (m₁ + m₂)

where;

(53)(3.5) + 62(u) = 0(53 + 62)

185.5 + 62u = 0

-62u = 185.5

u = -185.5 / 62

u = -2.99 m/s

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Less brilliant and gas-rich galaxies could be found in the distance, distant (young) galaxies different from the galaxies that we see in the universe today.

All of space, time, and its objects, such as planets, stars, galaxies, and other types of matter and energy, are collectively referred to as the universe. The prevailing cosmological explanation for the universe's formation is the Big Bang theory. The universe has been expanding ever since the Big Bang, which occurred 13.7870.020 billion years ago, according to this theory. It is feasible to measure the size of the observable universe, which is around 93 billion light-years in diameter at the moment, even if the total spatial extent of the universe is unknown. Some of the earliest geocentric views of the cosmos, which centered on Earth, were developed by Greek and Indian philosophers. The Sun was positioned at the center of the Solar System by Nicolaus Copernicus in the heliocentric model, which was developed in response to increasingly precise astronomical measurements throughout time. When developing the law of universal gravitation, Isaac Newton built upon the research of Copernicus, Johannes Kepler's planetary motion equations, and Tycho Brahe's observations.

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The characterized the sound of the second wave of hip-hop, as characterized in the work of run-dmc and the beastie boys is that it is second wave.

S-waves (secondary waves or shear waves) are a swaying, rolling motion that rocks the ground back and forth perpendicular to the direction of the wave and lasts more slowly.

Wave – A secondary body wave that vibrates the ground perpendicular to the direction of wave propagation. They travel about 1.7 times faster than P waves. S-waves cannot travel through liquids such as water, lava, and the outer core of the Earth because liquids cannot withstand shear stress.59.903

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0.1894  is slope of tangent to the curve 1+y=sin(x[tex]y^2[/tex]) at point( π,-1)

The instantaneous rate of change of the specified function at a point is represented by the tangent. The derivative of the function at a given position is equal to the slope of the tangent at that location.

The slope of the tangent at a curve is given by:

slope = [tex]\frac{dy}{dx}[/tex]

let the slope be m

The given curve is:

1+y=sin(x[tex]y^2[/tex])

differentiating both side of the equation with respect to x we get:

[tex]\frac{dy}{dx}[/tex] = cos([tex]xy^2[/tex]) * [tex]\frac{d(xy^2)}{dx}[/tex]

=> [tex]\frac{dy}{dx}[/tex] = cos([tex]xy^2[/tex]) * ( [tex]y^2 + 2x \frac{dy}{dx}[/tex])

putting the value of x and y in the above equation we get

[tex]\frac{dy}{dx}[/tex] = cos([tex]-[/tex]π) * [tex]1+2\frac{dy}{dx}[/tex] π

=> [tex]\frac{dy}{dx}[/tex] =  [tex]1+2\frac{dy}{dx}[/tex] π

=>    [tex]\frac{dy}{dx}[/tex] = -1/(1-2π)

=>      [tex]\frac{dy}{dx}[/tex] = 0.1894

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An electron degenerate object is a white dwarf, whereas a neutron star is a neutron degenerate object. A white dwarf is less compact and has a larger radius than a neutron star.

A white dwarf is very dense, its mass is comparable to that of the Sun.

A white dwarf would collapse into a denser entity known as a neutron star if it reached the Chandrasekhar limit and nuclear reactions were to stop. This would happen if nuclear reactions continued to occur.

White dwarf stars are prevented from collapsing by the fact that electrons are fermions, while neutron stars are prevented from collapsing by the fact that electrons are fermions.

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If the car is traveling westward and slowing down, then the direction of the force on the car that causes it to slow down must act to eastward direction.

If the car is slowing down, a force must be pulling in the direction opposite to its velocity. In the given situation the car is moving westward and slowing down, so force that will slow it down will act towards eastward i.e. acceleration will be in eastward direction and negative because direction of acceleration is opposite to its motion.

what is acceleration:

Acceleration is the rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down.

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b) f(x) = cos(x) is the equation the satisfies the given conditon f(-x) = f(x)

To check for every function if they satisfies the conditon f(-x ) =f(x)

for option a)

f(x) = sin(x)

f(-x) = sin(-x)

=> -sin(x)

so in this option f(x) ≠ f(-x) so this option is not correct

for option b)

f(x)=cos(x)

f(-x) = cos(-x)

=> cos(x)

so in this option f(x) = f(-x) so this option is correct

for option c)

f(x) = log(x)

f(-x) = log(-x)

=> log(1/x)

so in this option f(x) ≠ f(-x) so this option is not correct

for option d)

f(x) = [tex]e^x[/tex]

f(-x) = [tex]e^-^x[/tex]

=> [tex]\frac{1}{e^x}[/tex]

so in this option f(x) ≠ f(-x) so this option is not correct

so only option B is correct.

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Complete question:

which of the following defines a function f for which f(-x)=-f(x)

a) f(x) = sin(x)

b) f(x) = cos(x)

c) f(x) =  log(x)

d) f(x)  = [tex]e^x[/tex]

At -272.997°C the nitrogen molecules will have an rms speed of 1.5 m/s

The speed of gas molecules is the speed experienced by gas particles based on their average speed. Molecular velocity is a representation of the overall value of the speed of gas molecules moving in a vessel.

Given that

The molecular mass of nitrogen is m = 28(1.66x 10⁻²⁷ kg) = 4.6 x 10⁻²⁶ kg

The speed ​​rms formula is

vrms = √[(3kT)/m]

So, the temperature

T = (v)²(m)/(3k)

T = (1.50 m/s)²(4.6 x 10⁻²⁶ kg)/(3(1.38 x 10⁻²³K)

T = (2.25 m/s) (4.6 x 10⁻²⁶ kg)/(4.14 x 10⁻²³K)

T = 10,35 x 10⁻²⁶/4.14 x 10⁻²³K

T = 2,5 x 10⁻³

T = 00025 K.

T = 2.5 mK

in °C

T = -272.997°C

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Answer:

4.5125m

Explanation:

Initial Velocity(U)=9.5m/s

Maximum Horizontal Distance (i.e maximum height) = ?

V^2=U^2-2gH (negative because the motion is against gravity i.e g is negative)

0^2=9.5^2-(2×10×H)

0=90.25-20H

20H=90.25

H=90.25/20=4.5125m

The radius of protons resulting orbit is 8.43 mm.

What is radius?

The reason the bone is called the radius is because it behaves like the radius (of a circle). It revolves around the ulna, and the distance from the ulna (the circle's center) to the edge of the radius, which is known as the styloid process of the radius, is where it connects to the hand's bones (the circle).

What is protons ?

Protons include the H+ ion or the hydrogen atom's nucleus. Regardless of the isotope, each hydrogen atom has one proton, each helium atom has two, each lithium atom has three, and so on.​

Potential difference, V=100V

Magnetic field ,B=0.004T

Force, F=qV= 2mv 2 (K.E.)

⇒V= [tex]\sqrt{2qv/m}[/tex]

for radius of path, mv²/ R = qvB

R = mv/ qB = m/qB*  [tex]\sqrt{2qv/m}[/tex]

R= 1/ 0.004 * [tex]\sqrt{9.1 * 10-31 * 2* 100 / 1.6*10-19}[/tex]

= 843.17 * 10⁻⁵m

= 8.43 mm

Hence, the radius of protons resulting orbit is 8.43 mm.

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The car, which needs time after beginning to accelerate to move 3.5km, will take 100 seconds.

The car will move as it has traveled 3.50 km at 62.5 m/s.

Question A

Vi = car initial velocity

a = increase in velocity of the car per second

s = distance travelled by the accelerating car in time t

VF = velocity of the accelerating car at time t

Since acceleration is constant (accelerate forward uniformly from question), we will use kinematic equations.

Velocity Final = Vi + acceleration * time

s = Vi * t + 1/2 * acceleration * time²

Velocity Final² = Vi² + 2 * acceleration * distance (s)

Given from question

Vi = 7.5 m/s

a = 0.55 m/s²

s = 3.5km

t = ?

S = Vi * t + 1/2 * acceleration * time²

3500m = 7.5m/s * t + 1/2 * 0.55 * t²

0.55t² + 15t - 7000 = 0

We will use roots of a quadratic equation to find t

ax² + bx + c = 0

x = (-b ± (√b² - 4*ac)) / 2a

t = (-15 ± (√15² + 4 * 0.55 * 7000)) / 2 * 0.55

t = -15 ± 125 / 1.1

t = -140 / 1.1 ║t = 110 / 1.1

t = -127.27 ; 100

So, the equation of 0.55t² + 15t - 7000 = 0 is satisfied with two values of t = -127.27 & 100

Since, we are talking about time, we will eliminate minus value and we will use the positive value.

Therefore, the time needs to accelerate to move the car by 3.5km after the beginning is 100 seconds.

Question B

Given from question

S = 3.5km = 3500m

Velocity Final = ?

Velocity Final² = Vi² + 2*acceleration*distance (s)

Velocity Final² = 7.5² + 2 * 0.55 * 3500

Velocity Final² = 3,906.25

Velocity Final = 62.5m/s

Since we already found the accelerating car travelled 3500m in 100s. we could also use the other formula :
Velocity Final = Vi + acceleration * time

= 7.5 + (0.55*100)

= 62.5 m/s

Therefore, the car is moving 62.5m/s after traveled 3.50km.

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The effect on the period of a pendulum if you double its length is the period increases by a factor of √2 and  if you decrease its length of a pendulum by 5.00% the period decreases by 2.5%.

A pendulum has an initial period of 2π√L/ g and then it has some new period T2 which is 2π√L2/g

(a) Give that L2 = 2L1

So we'll substitute in 2L1 in place of L2

T2 = 2π√2L1/g = √2T1

So when doubling the length, the period increases by a factor of √2

(b) Given that length of a pendulum decreases by 5.00%

Then length of remaining pendulum = L2 = 95% L1= 0.95L1

T2=  2π√L2/g =  2π√0.95L1/g = √0.95T1 = 0.975T1

Hence it decreases by  2.5%.

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After specific periods, 12.5g of a technetium-99m sample will still be intact.

Radionuclide scan is used for disease identification, classification, and tracking. The radionuclide is injected into the vein after being consumed in very small amounts. Various radionuclides are transported to various organs via human blood. Examples of radionuclides include strontium-90, cesium-137, and radium-226. Some are produced artificially, either on purpose or as consequences from nuclear reactions, while others are found produced naturally in nature.

Consider the fact that first order kinetics governs radioactive decay. So, keep in mind

ln [A]t=−kt + ln[A]₀ and by extension,

t[tex]\frac{1}{2}[/tex]=1n(2)/k

Now, let's derive the rate constant,

k=1n(2)/t[tex]\frac{1}{2}[/tex]

=0.116h⁻¹

Given

t=6h,

1n=Aτ/A₀

Aτ=12.5g

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A car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5 m/s. 160 m is the radius of the curve.

To find the radius of the curve, we can use the formula for centripetal acceleration:

a = v^2 / r

where a is the centripetal acceleration, v is the velocity, and r is the radius of the curve. In this case, we know that the velocity of the car is 20 m/s and the centripetal acceleration is 5 m/s2. We can solve for the radius of the curve by rearranging the formula and substituting the known values:

r = v^2 / a

= (20 m/s)^2 / 5 m/s2

= 800 m / 5 m/s2

= 160 m

Therefore, the radius of the curve is 160 m.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. When a vehicle turns, its velocity vector is altered by an acceleration in the new direction. The acceleration of the car in its present direction of motion is referred to as a linear acceleration (or tangential acceleration in circular motions).

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frequency is inversely proportional to the length. So, the magnitude of the final frequency is 341 Hz

Frequency can be defined as the number of complete revolution per second made by a vibrating body.

Given that a guitar string has its length shortened to 3/4 of its initial length. if the original frequency was 256 Hz, what will the final frequency be ?

Experiment shows that frequency is inversely proportional to the length of the string. That is, F [tex]\alpha[/tex] 1/L

F = V/L

V = FL

Since the speed of the sound is the same, we can say

F1L1 = F2L2

Where

Substitute all the parameters

256L = 3L/4 × F2

The L cancels out

256 = 3/4 × F2

F2 = 4/3 × 256

F2 = 1024/3

F2 = 341.3 Hz

Therefore, the final frequency will be 341.3 Hz

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a) The work done is 450 kJ

b) The kinetic energy gets lesser with time

c) The relation is v^2 = u^2 - 2as

d) The initial velocity is 30 m/s

We know that the work that is done is the product of the force and the distance that is moved by a body. We know that work is said to be done when the force that is applied moves a distance in the direction of the force.

1) Work done = Force * distance

= 6000 N * 75 m

= 450 kJ

2) The kinetic energy of the automobile would decrease with time.

3) To obtain the initial velocity we have to use the relation;

v^2 = u^2 - 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance covered

Given that;

F = ma

a = F/m

a = 6000 N / 1000-kg

a = 6 m/s^2

The we have;

0^2 = u^2 - (2 * 6 * 75)

u^2 =  (2 * 6 * 75)

u = √ (2 * 6 * 75)

u = √900

u = 30 m/s

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Rank the objects from least to greatest mass, according to the stars that produce each:

A property of a body that is a measure of inertia is usually viewed as a measure of the amount of matter contained in the body that causes it to have weight in a gravitational field. Mass is a dimensionless quantity that describes the amount of matter in a particle or object.

The mass of an object is a measure of its inertial properties or the amount of matter it contains. The weight of an object is a measure of the force exerted on it by gravity, or the force required to support it. Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass.

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The availability of the a galactic nucleus inside a galaxy experiencing starbursts can slow or stop the starburst process.

Due to "increasing financial concerns," Mars Wrigley quietly pulls Starburst candies from grocery shelves throughout Australia. An popular Australian lollipop brand got dropped by a US confectionery business after one social media user noticed her favorite delicacy was inexplicably gone while looking for it.

22 years after being renamed, Starburst will become Opal Fruit, according to a statement from the candy's manufacturer, Mars. Stores including Poundland, B&M, Home Bargains, Iceland, Savers, and others will sell the goods for fans to purchase.

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It takes 128 seconds for sorting an array using insertion sort having size 800000.

The straightforward sorting algorithm known as insertion sort produces the final sorted array one item at a time through comparisons. In comparison to more sophisticated algorithms like quicksort, heapsort, or merge sort, it performs significantly worse on huge lists.

The worst-case (and average-case) complexity of the insertion sort method is O ([tex]n^2[/tex]).

To put it another way, in the worst situation, the time needed to sort a list is inversely proportional to the square of the number of entries in the list.

The best-case time complexity of the insertion sort algorithm is O(n).

Therefore, we may argue that by considering the worst-case scenario for the problem.

We have, [tex]O(100000)^2[/tex] = 2 Sec

So for the array of size 800,000, it will take

[tex]= 8^2 \times O(100,000) = 8^2 \times 2[/tex]

=64*2 = 128 seconds

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This object's surface has an emissivity of 0.809.

Due to that,

15.0 cm in diameter

Climate = 112 °C

71.3 W Power

We must determine the area.

Using the area formula

Fill out the formula with the value

We must determine this object's surface's emissivity.

Using the emissivity formula

when area is A

Temperature is T.

Boltzmann constant of Stefan

power P

Fill out the formula with the value

As a result, this object's surface has an emissivity of 0.809.

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Harry's weight is 1200 N on earth, then Harry's weight on the planet Dreidel is 355 N.

The force of gravity or the weight of an object on a planet is affected by the gravitational acceleration on that planet.

R[tex]__e[/tex] = R

R[tex]__p[/tex] = 2R

ρ[tex]__p[/tex] = 1/3 ρ[tex]__e[/tex]

w[tex]__e[/tex]  = 1200 N

Determine the ratio of the mass of the earth to the mass of the planet through the relationship:

ρ = m/V → m = ρV

So:

[tex]\frac{me}{mp} = \frac{ p_e V_e}{p_pV_p}[/tex]    (1)

Where is the volume of the planet. If both the earth and the planet are considered a ball, then it has the shape:

V = 4/3πR³

So, if we substitute the form above into the equation, we will get:

[tex]\frac{me}{mp} = \frac{p_eR_e^3}{p_pR_p^3} \\\\\frac{me}{mp} = \frac{p_eR_e^3}{1/3p_p(2R)^3}\\\\\frac{me}{mp} = \frac{3}{8}[/tex] (2)

The weight of an object is expressed as:

[tex]w =G\frac{mM}{r^2}[/tex]

If we take the comparison of the object's weight when it is on the earth's surface from the planet's surface it meets the:

[tex]\frac{w_e}{w_p} = \frac{me}{mp} (\frac{R_p +R}{R_e} )^2\\\\\frac{1200}{w_p} = \frac{3}{8} (\frac{2R +R}{R} )^2\\\\\frac{1200}{w_p} = \frac{3}{8} (\frac{9}{1} )^2\\\\w_p= \frac{1200 (8)}{3 (9)} \\\\w_p= \frac{9600}{27} = 355 N[/tex]

Hence Harry's weight on the new planet is 355 N.

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(a) The act of a chicken scratching the ground is doing positive work.

(b) A person studying does no work.

(c) A crane lifting a bucket of concrete does positive work.

(d) The gravitational force on the bucket in part (c) does negative work.

(e) When a person sits down, their leg muscles are said to be doing negative work.

We are aware of the work equation as being the result of force and displacement.

(a) The work done will be positive as the chicken is scratching the ground. Here, the displacement is along the direction of force.

(b) As there is no displacement, work done is zero, learning the language of physics is not work.

(c) The crane uses the bucket to perform positive work, and the displacement in this case is in the force's direction.

(d) The force of gravity pulls the bucket downward. In this case, the work completed will be negative because the forces acting on the bucket are in opposition to one another.

(e) Since the muscle's applied force are opposite to the displacement, negative work will be done.

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In Newtonian physics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It is a mechanically accepted amount.

The angular momentum can be found by the formula:

L = m · v · r

Where:

mass of Earth = m = 10²⁴ ×5.972 kg

v = velocity of Earth around the Sun = 2.978×10⁴ m/s

r = distance from Sun = 1.496×10¹¹ m

Now, apply the formula:

L = 5.972×10²⁴ · 2.978×10⁴ · 1.496×10¹¹

  = 2.661×10⁴⁰ kg·m²/s

The angular momentum of Earth in its motion around the Sun is 2.661×10⁴⁰ kg·m²/s.

It is a mechanically accepted amount. It has both a magnitude and a direction, making it a vector quantity. If an item has a mass of m and a velocity of v (also a vector quantity), then it has momentum of p.

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If the density of the whole block is 7.75 g/mL, then the density of half of it is also 7.75 g/mL.  (a)

The density of any substance is the same ... mass/volume ... no matter how big or small the sample is.

If the substance is pure, then its density is always the same.  It doesn't matter whether your sample is a tiny drop in the middle of your finger-nail or a super-tanker full of it.

The observed lapse rate refers to the decrease in temperature with increasing tropospheric altitude. This is the temperature of the environment at different altitudes. It does not imply air movement. Adiabatic cooling relates only to rising air cooling by expansion.

The ambient Leakage Rate is the rate at which the air temperature increases. Our surroundings change as we rise into the atmosphere. Dry adiabaticity is when an unsaturated air mass expands and cools as it rises through the atmosphere or heats and compresses as it descends.

So the rising air cools slowly as it rises. The wet adiabatic decay rate is generally less negative than the dry adiabatic decay rate. If the environmental decay rate is greater than the dry adiabatic decay rate, the atmosphere is said to be absolutely unstable. This means that the rising air mass will always cool more slowly than its surroundings even if it is not saturated.

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The δs∘rxn  for the reaction  2NO(g)+O₂(g) → 2NO₂(g) is -146 J/K.

Entropy is a scientific concept and observable physical feature that is typically associated with a state of chaos, unpredictability, or uncertainty.

The unpredictability or chaos of the system would be gauged by entropy. As unpredictability rises, so does entropy. It has a state function as well as a wide range of attributes. The unit is present J⁻¹ K mol⁻¹ .

ΔS°rxn = 2 mol × S°(2NO(g) - S°O₂(g) - 1mol S°O₂

ΔS°rxn = 2 mol × 240 J/mol.K - 2 mol × 210 J/mol.K-1 mol  ×205.2 J/mol.K

ΔS°rxn = -146.8 J/K

Therefore, the δs∘rxn  for the reaction 2NO(g)+O₂(g)→2NO₂(g)  would be -146 J/K.

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The displacement in litres is 5.36 L.

Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors which change the measured quantity value without changing its effects.

Horsepower = 360

Displacement  327 inches³

1 L = 1000 cm³

1 inch = 2.54 cm

Displacement in litres is =

First find displacement in cubic centimetre =

= d = 327 inch³ X (2.54 cm / 1m)³

= d = 327 X 2.54

= d = 5358.57 cm³

We know that, 1 L = 1000 cm³,

Thus,

The displacement in Litres is =

= d =  5358.57 cm³ X (1L / 1000 cm³)

= d = 5.36 L

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If the vehicle strikes ice at the circle's base, 150N will cause it to move.

The International Bureau of Weights and Measures defines it as the mass of a certain international prototype constructed of platinum-iridium and stored there. Initially, it was specified as being equal to the mass of one liter (10-3 cubic meters) of pure water. A mass of 1 kilogram weighs roughly 2.20 pounds at the surface of the Earth (lb).

The metric system's fundamental unit of mass is the kilogram (kg). The mass of 1,000 cubic centimeters of water is very nearly equal to one kilogram, although it was initially intended to be exactly equal. The precise definition of a pound is 0.45359237 kg.

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Answer: This is hard! I don't know for sure what is the answer but I think the answer is because the merry go round is moving at a certain speed???

Explanation: I don't know

A. The speed of the waves will remain unchanged if the mass is tripled without stretching the wire.

B. The speed of the waves will be halved if the wire is replaced with an identical one, except twice as long. This is because the waves will have to travel twice the distance in the same amount of time.

C. The speed of the waves will remain unchanged if the wire is replaced with one of the same lengths, but two times as heavy.

D. The speed of the waves will be halved if the wire is stretched to thrice its original length. This is because the waves will have to travel thrice the distance in the same amount of time.

E. The speed of the waves will be halved if the mass is increased by a factor of 18.0 and the wire is stretched to double its original length. This is because the waves will have to travel twice the distance in the same amount of time. The speed of the waves will thus be V/2.

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