calculate the moment of inertia of a skater given the following information. the 58.0–kg skater is approximated as a cylinder that has a 0.102–m radius.

Answers

Answer 1

The Moment of Inertia of skater of mass 58 Kg with approximated radius of 0.102 m will be 0.301 kg m².will be 0.301 kg m².

We have a 58 kg skater who is approximated as a cylinder that has a radius of 0.102 m.

We have to determine the Moment of Inertia of the of the skater.

What is Moment of Inertia? What is its general formula?

Moment of inertia is the property of the body by which it resists angular acceleration. The general formula of Moment of Inertia is given by -

I = Σ m[i] r[i]².

According to the question -

Mass of skater = 58 Kg

Radius = 0.102 m

Now, the moment of inertia of the cylinder about the axis of cylinder is -

I = 1/2 MR²

I = 0.5 x 58 x 58 x 0.102 x 0.102

I = 1682 x 0.010404

I = 0.301 kg m²

Hence, the Moment of Inertia of skater of mass 58 Kg with  approximated radius of 0.102 m will be 0.301 kg m².

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Related Questions

A 2so-ml bottle of a sports drink solution contains 4.soy mass of sodium chloride. what is the molal concentration of sodium chloride in this bottle of sports drink?

Answers

A 2SO-mL bottle of a sports drink solution contains 4.SO% mass of sodium chloride.

The molal concentration of sodium chloride in this bottle of sports drink is 0.806 m

What do you understand by molal concentration?

Molal concentration is also known as molality.

It is defined as the total moles of solute dissolved in per kg of the solvent.

It is used to determine the concentration of the solute when it is dissolved in solvent. The unit of molality is mol/ kg.

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At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?

Answers

To travel directly southward relative to the ground, the bird should head

to an angle direction of approximately South 23.58° East.

The velocity of the bird can be directed such that the resultant velocity of

the bird and the wind will be in the southward direction.

component of the velocity is;

The magnitude of the velocity of the bird = 100 km/h

The direction of the bird = North-South direction

The magnitude of the velocity of the wind = 40 km/h

The direction of the wind = East-west direction

The component vector of the two velocities are;

Velocity of bird, v = -100·j

The velocity of wind, v = 40·i

The direction of the velocity of the bird will be southward if it has a

component of velocity to accommodate the velocity of the wind.

Let θ represent the angle of the direction of the bird relative to the

negative x-axis, we have;

-100 × cos(θ) = -40·i

θ ≈ 66.42° in the third quadrat, given that both the y, and x, values are

negative.

In the South-West direction, the angle is, therefore; 90 - 66.42 ≈ 23.58°

Therefore, the bird should fly in the direction south 23.58° east to fly

directly southward relative to the ground.

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What is the equiliibrium constant k for a redox reaction involving the transfer of 6 mol electrons?

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The equilibrium constant for a chemical reaction is equal to the value of the reaction. The equilibrium constant that is denoted by k is Keq = 1.8E4

What is equilibrium constant ?

The equilibrium constant for a chemical reaction is equal to the value of the reaction quotient at chemical equilibrium, a state that a dynamic chemical system approaches when enough time has elapsed and at which its composition has no observable tendency to change further.

We know that,[tex]\Delta G = -nFE0[/tex]

and,[tex]\Delta G = - RT ln Keq[/tex]

So, ln Keq = (nFE0 ) / (RT)         ----- (i)

E₀ = standard cell potential = 0.042 V

n = number of electrons transferred in the rxn = 6

F = 96,485 C/mol ,

 R = 8.314 J / mol * K

As T is not given so assuming it to be room temperature. So, T = 298 K

Putting all the values in equation (i):

ln Keq = (6 X 96,485 C.mol-1 X 0.042 V ) / (8.314 J mol-1 K-1 X 298 K)

ln Keq = 24314.22 C.V / 2477.572 J

Now, 1 coloumb X 1 volt = 1 joule

So, ln Keq = 24314.22 / 2477.572 = 9.814

Keq = 18288

Rounding to two significant figures:

Keq = 18000 = 1.8 X 104

So in scientific notation: Keq = 1.8E4

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The+amplitude+of+an+oscillator+decreases+to+36.8%+of+its+ini-+tial+value+in+10.0+s.+what+is+the+value+of+the+time+constant?

Answers

The oscillator's amplitude decreases with time at a time constant of five.

Given the information below:

0.368 as the amplitude fell by 36.8%.

10.0 seconds have passed.

To calculate the time constant's value:

Mathematically, the formula: gives the amplitude for damped harmonic motion.

[tex]X/X_{o} =e^{t/2r}[/tex]

t is the time.τ is the time constant.X is the instantaneous value of amplitude.[tex]X_{0}[/tex] is the initial value of amplitude.

Substituting the given parameters into the formula, we have:

Time constant = 5

What is the amplitude of the oscillator?

The amplitude of oscillation is defined as distance from the mean or equilibrium position to either extreme. Oscillation is termed as  one complete to and fro motion of the particle from its mean position.

What is meant by harmonic oscillation?

In classical mechanics, a harmonic oscillator is a system that, when displaced from it's equilibrium position, experiences a restoring force F proportional to the displacement x , where k is a positive constant.

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A 30 hp 460v 3-phase motor requires 35 amps at full load. the power factor is 0.86 determine the efficiency of the motor.

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A 30 hp 460v 3-section motor requires 35 amps at complete load. The strength thing is 0.86 which determines the motor performance of 93.32.

Given records:

Output electricity of motor = 30 hp

We recognize that 1 hp = 746 w

∴ Output = 30 × 746 = 22380 w

→ complete load cutting-edge

= 35 amp

→ Line voltage

= 460 v

→ power issue = 0.76

→ enter to the motor =?

⇒ [tex]P_{in} \sqrt{3}V_{L} I_{FL} cos[/tex]∅

⇒ [tex]p_{in} =\sqrt{3}[/tex] × 460 × 35 × 0.36

⇒ [tex]p_{in} = 23981.97 w[/tex]

We know that efficiency [tex]n=[/tex] output/input

⇒ [tex]n = \frac{22380}{23981.97}[/tex]

⇒ [tex]n = 0.9332[/tex]

[tex]% n = 93.32%[/tex]Efficiency % = 93.32%

So the efficiency in the question given above is 93.32%.

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An electron confined to a one-dimensional box of length 0.3 nm jumps from the n = 3 quantum state to the n = 2 quantum state. what is the wavelength, in nm, of the emitted photon?

Answers

232 nm is the wavelength of the emitted photon.

[tex]E = (h^{2} /8mxL^{2} )* n^{2}[/tex]

For n=3 we a energy equal :9.62 * 10^-19 J= 6.01 eV

For n=1 the energy is: 1.069 *10^-19 J=0.66 eV

The energy difference Is 5.35 eV so by using this relationship

λ=1240/Energy = 232 nm

What is a wavelength ?

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm) (mm).

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A carnot engine operates on steam between 65 c and 425 c. what is the ideal efficiency?

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A Carnot engine operates on steam between [tex]65^0[/tex] and [tex]425^0[/tex]. The ideal efficiency of the Carnot engine will be -1.065.

How to calculate the efficiency of the Carnot engine?

To find efficiency of the Carnot engine, following formula is used:

[tex]\eta =1-\frac{T_2}{T_1}[/tex]

where, [tex]T_1, T_2[/tex] are the temperatures on which the engine operates. They are always in Kelvin.

Now, we will convert Celsius to Kelvin.

[tex]65^0=338.15K\\425^0=698.15K[/tex]

Substituting the values in the formula,

We get:

[tex]\eta = 1-\frac{698.15}{338.15} \\\eta = 1-2.065\\\eta = -1.065[/tex]

Hence, the ideal efficiency of the Carnot engine will be -1.065.

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Why does reduction in soil moisture content pose an impending disaster for many areas in the world?

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The study, which was published in Nature, demonstrates that soil moisture levels, which are influenced by temperature increases and extreme weather conditions like droughts, can have a "significant negative influence" on a region's capacity to store carbon.

It concludes that the "CO2 fertilizations effect," a process wherein rising CO2 levels in the atmosphere boost the growth and, consequently, carbon uptake of plants, would likely cause an increase in the pace at which land absorbs carbon until the second part of this century.

The lead author told Carbon Brief that after this, the fertilizations is anticipated to "hit a pinnacle". This peak, when paired with the detrimental effects of soil moisture changes, could significantly shift the land's role as a carbon sink to source greatly accelerating climate change.

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Assume baldwin is producing 2,325 units of bill next year. what would bill's plant utilization be?

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The plant utilization Baldwin is producing 2,325 units of bill next year be 155%.

What is plant utilization of electricity?

The ratio of a piece of equipment's actual use time to its prospective use time is known as the utilisation factor, often referred to as the utilisation factor. The ratio is typically explained as being the sum of the energy used throughout time divided by the maximum amount that might be used.

The "end result" of the production, transmission, and distribution of electric power is utilisation. At the utilisation point, the energy transported by the transmission and distribution system is converted into usable work, light, heat, or a combination of these things.

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Help with this pls will make brainlest

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Answer:

bro just copy and paste the questions for us

Explanation:

I can’t see the page properly

What is the name for the difference between the value in the null hypothesis and the true population parameter?

Answers

Effect size is the name for the difference between the value in the null hypothesis and the true population parameter.

What is population parameter?

A population parameter in statistics is a value that expresses information about a large group or population. It is important to distinguish between this and parameters, which are constant values for a particular mathematical function in other branches of mathematics.

Additionally, keep in mind that a population parameter is not a statistic, which provides information on a sample, or subset, of a particular population. You might be able to get a statistic that accurately represents the true value of a population with a well-designed study.

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A 100g sample of radioactive material has decayed to 25g in 12 hours what is the half-life?

Answers

Answer:

24 hrs

Explanation:

12 hrs =25 g

24hrs = 50g

A bicyclist accelerates at a constant rate from a standstill to 30 km/hr in 45 sec. a) how fast is the bicyclist traveling after 35 sec? b) how far has the bicyclist traveled after 45 sec?

Answers

distance travelled by bicycle after 35 sec = 30 X 35/ 3600 = 0.27km and after 45 sec is 0.3km by a velocity 30km/hr

we know by the formula velocity= d/t so 30km/h after 40 seconds = 40/ 3600=0.01hr

so distance travelled by bicycle after 35 sec = 30 X 35/ 3600 = 0.27km and after 45 sec is 0.3km.

The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. In the SI, speed is a coherent derived unit whose quantity is expressed in meters per second as the scalar absolute value (magnitude) of velocity (metric system).

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in which of the following cases does a car have a negative velocity and a positive acceleration? a car that is traveling in the

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There is a positive acceleration where −x direction decreasing in speed.

What is acceleration?

The term acceleration refers to the change of velocity with time of the body. Now we know that both velocity and acceleration  are both vector quantities. We have to put the direction into consideration when looking at the acceleration of a body.

The case in which the car has a positive acceleration is the option where a car has a negative velocity and a positive acceleration is −x direction decreasing in speed.

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Missing parts;

In which of the following cases does a car have a negative velocity and a positive acceleration? A car that is traveling in the Check all that apply. Check all that apply.

a.+x direction decreasing in speed.

b.+x direction increasing in speed.

c.−x direction decreasing in speed.

d.−x direction increasing in speed.

e.−x direction at a constant 20 m/s.

the g string on a guitar is a 0.44-mm-diameter steel string with a linear density of 1.1 g/m . when the string is properly tuned to 196 hz, the wave speed on the string is 250 m/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.

Answers

The G string on a guitar stretches by 1.696 mm when it is first tuned by using the formula of young's modulus.

Expression for the velocity of the waves on the stretched string

ν = √T/μ

Where, T = tension on the string

250 =√T/ 1.1 × 10⁻³

T = 68.75 N

The young modulus of the steel is given by

Y = 200 × 10⁹ Pa

Y = (T/A)/(Δl/l)

Δl = Tl/AY

By putting the values, we get,

Δl = 68.75 × 0.75/ 200 × 10⁹ × π × (0.22 × 10⁻³)²

Δl = 1.696 × 10⁻³m

Or, Δl = 1.696 mm

Hence, by 1.696 mm, the G string stretch when it is first tuned.

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How many kilojoules of heat must be supplied to 4.1 g of ice at -26 oc to convert it to steam at 147 oc?

Answers

The amount of heat supplied to 4.1 g of ice at -26°C  to convert it to steam at 147°C will be 12.81 kJ.

What is the heat supplied?

The heat supplied is by the summation of the sensible heat and the latent heat of the substance.

Heat = Sensible heat + Latent heat

The mass of the substance is 4.1 grams (4.1 × 10⁻³ kilograms).  

The sensible heat is given as

Q = mCΔT

Where C is the specific heat at constant volume (4.18 kJ / kg-K up to 100°C and 0.718 kJ / kg-K after 100°C), m is the mass and ΔT is the temperature difference.

The latent heat is given as

Q = mL, where L is the specific latent heat of a substance (334 kJ / kg at 0°C and 2230 kJ / kg at 100°C).

Heat = 4.1 × 10⁻³ × [4.18(0 + 26) + 334 + 4.18(100 - 0) + 2230 + 0.718(147 - 100)]

Heat = 4.1 × 10⁻³ × [108.68 + 334 + 418 + 2230 + 33.746]

Heat = 4.1 × 10⁻³ × 3124.426

Heat = 12.810 kJ

The amount of heat supplied to 4.1 g of ice at -26°C  to convert it to steam at 147°C will be 12.81 kJ.

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to be effective, why must agreement aimed at preventing or reducing ozone depletion be international?
I have to get it done.. it's pass due

Answers

The agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.

Why must agreements aimed at preventing or reducing ozone depletion be international?

The agreement must be aimed at preventing or reducing ozone depletion internationally because ozone depletion is the most dangerous cause of human activities such as chlorofluorocarbon gas. Ozone is the protective layer that can filter incoming solar radiation from harmful ultraviolet radiation. The Montreal Protocol is a global agreement to protect the ozone layer of the earth by preventing the use of chemicals that deplete it.

So we can conclude that the agreement must be aimed at preventing or reducing ozone depletion internationally to save the ozone layer from more damage.

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You synthesize an rna in a reaction containing a 2:1 ratio of ctp and utp (2c:1u). the codons for proline are ccu, ccc, cca, and ccg. what proportion of triplets will encode proline?

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only cca and ccu  code can  encode for proline and utilized in reaction containing a 2:1 ratio of ctp and utp

The rate-limiting stage of de novo CTP biosynthesis is the conversion of uridine triphosphate (UTP) into cytidine triphosphate (CTP), which is mediated by cytidine triphosphate synthetase (CTPS) (Scheme 17). 46,178. Therefore, CTPS activity controls the rates of RNA, DNA, and phospholipid synthesis occurring inside of cells

A codon is a DNA or RNA sequence of three nucleotides (a trinucleotide) that forms a unit of genomic information encoding a particular amino acid or signaling the termination of protein synthesis (stop signals). There are 64 different codons: 61 specify amino acids and 3 are used as stop signals.

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What does acceleration measure?
A. Change in velocity over time
B. Change in speed over time
C. Change in distance over time
D. Change in displacement over time​

Answers

The question is “A. Change in velocity over time”

Answer: A.) Change in Velocity over Time

Explanation:

The definition of acceleration is Δv/t, or the change in velocity over time. Acceleration, like velocity, will therefore have a magnitude, as well as a direction.

Whenever an electrically charged particle is accelerated, it radiates energy in the form of?.

Answers

Answer:

electromagnetic radiation

Explanation:

an ammeter is calibrated so that it shows a full scale deflection when it measures a current of 2.0a

Answers

The shunt resistance utilized will be 9:1 in relation to the ammeter's resistance.

A certain amount of current must flow through a moving coil meter in order for FS to be deflected. Understanding this quantity makes it easier to calculate the resistance needed to convert to a voltmeter. Consequently, the more sensitive the meter is, the less the voltage measurement method affects the actual voltage (lower current required to induce a full-scale deflection of the meter).

The full-scale deflection of an ammeter is produced with a current of 1 amp (r1 = 1V = V; r2 = 10V = 0.1V).

The ammeter's resistance to the shunt resistance was compared, with the resulting ratio being r2r1 = 0.1V V0.1V = 0.1*0.9V = 9:1.

The complete question is-An ammeter gives full scale deflection with a current of 1 amp. It is converted into an ammeter of range 10 amp. The ratio of the resistance of ammeter to the shunt resistance used will be

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you put a bottle of soft drink in a refrigerator and leave it until its temperature has dropped 10.0 k. what is its temperature change in (a) ◦f and (b) ◦c?

Answers

The correct answer is  F = 18.

Given that it is a physical quantity, the temperature has units that can be used to measure it. Kelvin is used as the SI unit of temperature. However, we also use the units of Celsius and Fahrenheit to measure temperature. The temperature units are connected in the following way:

C = 5/9 (F - 32)

K = C + 273

Temperature is a physical characteristic that can be used to determine how cold or hot a body is. The scales to utilise for recording temperature are Celsius, Kelvin, or Fahrenheit, and these scales have a correlation to convert one reading into another scale reading.

Temperature change in Kelvin, K = 10K

Temperature change in Celsius

C = K

or C = 10

Temperature change in Fahrenheit

F =1.8C

or F = 1.8 x 10

or F = 18.

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you are practicing for a 200m dash with a friend. your friends runs with an average speed of 2.5m/s. if you run with an average speed of 2.7 m/s, how long will you have to wait for your friend at the finish line?

Answers

You will have to wait for 5.92 seconds at the finish line for your friend to finish the dash.

The total distance of the dash is d = 200 meters.

Friends run with an average speed of v₁ = 2.5 m/s.

Your average speed is v₂ = 2.7 m/s.

Now, the speed of an object or particle is defined as the speed of the object per unit time.

Therefore,

Speed = distance / time

Now, friend's times will be:

v₁ = d / t₁

t₁ = d / v₁

t₁ = ( 200 m) / (2.5 m/s)

t₁ = 80 seconds

Your time to finish the dash is:

v₂ = d / t₂

t₂ = d / v₂

t₂ = ( 200 m) / ( 2.7 m/s)

t₂ = 74.07 seconds

The time you have to wait for your friend at the finish line will be:

t = t₁ - t₂

t = 80 - 74.07

t = 5.92 seconds.

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true or false: it is possible for an object to nnove for 10 seconds at a high speed and end up with an average velocity of zero.

Answers

Yes. it is possible for an object to move for 10 seconds at a high speed and end up with an average velocity of zero.

What is average velocity?

Velocity is answer to the question: How fast are you changing your position?  It's basically asking for a comparison of where you are at two different times and makes rate of change quantitative.  To make sense out of this, let's first write it as words equation:

The average velocity = (How far did you move?) / (How long did it take you?)

That way, doing either a bigger distance in the same time or the same distance in a shorter time both give a larger number to velocity and agree with our sense of what it means to move faster.

For the above question:

Average velocity is displacement over the time. Displacement is difference between your final position and your initial position. If you traveled in circular path, very fast, or very slow, and ended up back where you started, your displacement would be zero. Dividing your displacement of zero, by time your trip took, will give you an average velocity of zero.

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Music thudded out of the shop and mingled with some of the other noises of the city.


Add more details after the sentence.

Answers

Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

Indeed, this was a beautiful ceremony and although I was a tourist, I thoroughly enjoyed myself and even participated in the killing of the goat which was the reason for the festival and celebration.

What is a Narration?

This refers to the storytelling that is done with the aid of a narrator in order to advance a plot.

Hence, we can see that Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

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when an object is thrown upwards, when it reaches its maximum height, its instantaneous velocity is and its acceleration is

Answers

At maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.

We have an object thrown upwards.

We have to determine its velocity and acceleration at maximum height.

At maximum height, the direction of velocity vector is ?

A maximum height the direction of velocity vector does not exist as it is a null vector at that point.

According to the question -

When the object reaches its maximum height, it will no longer continue to move in the upward direction. For a instant of time in which the ball achieves maximum height - the velocity of the ball becomes 0.

Now, the acceleration due to gravity acts on the ball in the downward direction and is equal to 9.8 m/[tex]s^{2}[/tex]

Hence, at maximum height, the velocity is 0 and the acceleration is equal to acceleration due to gravity in the downward direction.

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a cannonball explodes into several fragments in mid-air. the total momentum of the fragments after this explosion: group of answer choices is the same as the momentum of the cannonball immediately before the explosion is more than the momentum of the cannonball immediately before the explosion is less than the momentum of the cannonball immediately before the explosion has been changed into the kinetic energy of the fragments has been changed into radiant energy

Answers

If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

According to the Law of Conservation of Momentum, the momentum of two or more bodies remains conserved unless an external force acts upon them.

In the given case, the force acting on the cannonball is the gravitational force which is the same as the force acting on the fragments of the cannonball after the explosion.

As the forces are the same in both cases, the momentum before and after collision remains the same.

Thus, If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

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What depth of oil, specific gravity of 0.750, will produce a pressure of 26 psig?

Answers

The depth of oil, specific gravity of 0.750, will produce a pressure of 26 psig is =92.3 ft

PSIG refers to pounds per square inch Gauge (S.G.) oil = 0.750

P(ress )=30 psig = 30lb/in²

density of water ρ(w)= 62.4 pound/ft³

=62.4/(12)³  lb/in³

=0.03611  lb/in³

p(ress)=ρ H

30=(s.g) xρ H

30 = 0.750X 62.4/(12)³   H

H = 30x (12)3/0.750 x 62.4

H = 1107.69 in.

=92.3 ft

Relative gravity is another name for specific gravity. Since it lacks any dimensions, it must be a dimensionless quantity. The ratio of a substance's density to that of water at a specific temperature can be used to characterize it. It is significant to remember that temperature is a key factor in influencing any substance's specific gravity. As a result, a substance's specific gravity is a quality that depends on its temperature. Additionally, every substance's specific gravity is impacted by pressure.

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What training intensity is required during the working rounds in high-intensity interval training (hiit)?

Answers

High-intensity exercise which is called as hiit to raise heart rate greatly to at least 80% of one's maximal heart rate.

What is  high-intensity interval training?

High-intensity interval training is a style of exercise that relies almost entirely on the anaerobic energy release mechanism and alternates brief bursts of vigorous or explosive anaerobic activity with brief rest periods till exhaustion.

High Intensity Tactical Training (HITT), a comprehensive strength and conditioning programme that includes programming, facilities, and training, is open to Marines who are on active duty and those who are in the reserves. It places a focus on physical toughness and readiness for war.

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If a glass has an index of refraction, n = 1.52, what is the speed of light inside the glass? show calculations with equation and numbers plugged in.

Answers

If a glass has an index of refraction, n = 1.52,

The speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].

How to find the refractive index?

To find the refractive index of a material, following formula is used:

Refractive index = Speed of light in air / Speed of light in the crown glass

We are given the value of refractive index is 1.52.

We know that the speed of light is [tex]3\times10^8m/s[/tex].

We will substitute the numerical values in the formula, we get:

[tex]1.52=\frac{3\times10^8m/s}{\text{ Speed of light in crown glass} \text}\\[/tex]

[tex]\text{ Speed of light in crown glass} \text=\frac{3\times10^8}{1.52}[/tex]

Hence, the speed of light inside the glass will be [tex]1.97\times10^8m/s[/tex].

To learn more about refractive index, refer to:

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