Imagine a simple spring, a simple harmonic oscillator where where the mass is 1 kg and the spring constant is 10 N/m.

The angular frequency would be around 3.162 and frequency would be 0.503 (I think). I was doing a question and the question said if the mass of this system gets increased with a factor of for, so for a 4 kg, how does the frequency change?

I calculated it to be 2.4834 but the answer said it will decrease to 1/2 of its original value. How can it decrease when it has clearly have increased from 0.503 to 2.4834? Did I calculate wrong?

Note: I might have calculated the frequencies wrong, steps of how to do it will be appreciated as well.

Moving from the element with atomic number 10 to atomic number 11 on the periodic table changes observed are :

Reactivity increases,

Sodium has more shell,

Valence electrons in sodium are farther from the nucleus,

Atomic number 11 does not have a full electron shell

In increasing order of atomic number, the elements are listed. The amount of protons in an atom's nucleus is indicated by its atomic number. An element's identity is determined by its proton count. The number of protons determines an element's identity.

The indirect relativistic effect amplifies the decreases in the binding energies of the valence d and f electrons as they move down the periodic table. As a result, the d electrons in the heavier coinage metals become more chemically active, leading to higher oxidation states in these elements.

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c . The book has potential energy and the bike has kinetic energy statement is correct

Let's use an illustration to demonstrate P. E. and K.E. The hammer has potential energy, which it will have as you raise it higher. On the other hand, the hammer will have kinetic energy when you lower it to strike the surface of the table.

Only chemical energy, which is potential energy held inside the item and in the union of its atoms and molecules, is not regarded as kinetic energy. Motion is created by kinetic energy. Any item in motion has kinetic energy. The more kinetic energy an item possesses, the heavier and quicker it moves. The wheels of a bicycle spin when you push off the pedals.

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Answer:

The average speed for the entire trip is 18.75 m/s.  How is average speed calculated?The average speed is the ratio of total length traveled to total time taken to travel that length.Thus, if then,where Sa is average speed of the traveller.WE cannot average the two speeds in conditions of equal distance. WE  need equal time.Here 15 m/s for 10 km would take 666.67 seconds.   and 25 m/s for another 10 km would take 400 seconds. The Total time: 1066.67 seconds. The Total distance 20 km. The  average speed =  20000 m/1066.67 seconds = 18.75 m/s.  If We had gone 15 m/s for the same *time* as going at 25 m/s, then we  could have averaged the speeds directly.  Hence, The average speed for the entire trip is 18.75 m/s.  Learn more about average speed here:brainly.com/question/12322912

Explanation:

Hypothesis: If I lower the amount of prey, then the frog population would lower, because the frogs would not have any food and then they would die.

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The calculated pressure is 55 KPa.

The amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Its abbreviation is "p" or "P." An isochoric process in thermodynamics is a thermodynamic process in which the volume of the closed system experiencing the process remains constant. It is also known as a constant-volume process, isovolumetric process, or isometric process.

At the triple point of water, a constant volume gas thermometer registers a pressure of P tr = 40 kPa= 40 *10³ Pa.

Water's boiling point is T=100°C=373.16K.

Let P represent the pressure at the water's boiling point.

The temperature pressure relation for a constant volume gas thermometer is provided below:

T= P/ Ptr *273.16K

P= 273.16 TP tr

= 273.16 /373.16*40*10³

=54620Pa

=5.42*10³ Pa ≅ 55 KPa

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The balance of star's equilibrium is essentially brought about by two forces. These forces are the star's inner gravitational pull and the thermal energy produced by fusion processes' outward pressure push. These two forces prevent a star's collapse and constantly maintain a star in equilibrium.

A star's equilibrium with respect to gravity is governed by two forces. These two forces are distinguished as the star's gravity and its outward pressure push, respectively. It is a self-regulating and stable process that keeps the stars in this equilibrium.

star's equilibrium is the term used to describe this state of the stars. The fusion events occurring in a star's core produce an outward pressure force.

From the high-pressure core to the low-pressure surface, which is balanced by inward gravity, is the direction of pressure force in stars.

A star will experience a rise in internal gravity if we add more matter to it, which is again counterbalanced by internal pressure to maintain the star stable.

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In order to quadruple the amount of lift created by an airfoil, the air velocity must be doubled.

What is airfoil?

A wing, a sail, or the blades of a propeller, rotor, or turbine are examples of objects whose motion through a gas can provide significant lift, and an airfoil or aerofoil is the cross-sectional shape of such an item.

By applying a downward push to the air as it passes, an airfoil produces lift. The air must exert an equal and opposite (upward) force on the airfoil, which produces lift, in accordance with Newton's third law.

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The number of water molecules in the hot tub is 1.47×10²⁷ molecules

The following data were obtained from the question:

The number of water molecules in the hot tub can be obtained as follow

Number of molecules = Mass of water / mass of one molcule

Number of molecules = 4.38×10³ / 2.98×10⁻²⁴

Number of molecules = 1.47×10²⁷ molecules

Thus, number of molecules in the hot tub 1.47×10²⁷ molecules

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The distribution coefficient was found to be 1.61.

First we calculate solubility of caffeine, when dissolved in methylene chloride,

Solubility (in g/ml) = mass of caffeine/volume of solvent

Solubility = 1/28

Now, solubility of caffiene when dissolved in water,

Solubility (in g/mol) = 1/46

Now, we calculate distribution coefficient, (kd) by taking the ratio of the solublities i.e..

Distribution coefficient,(Kd) = solubility of caffeine, when dissolved in methylene chloride / solubility of caffeine when dissolved in water.

Kd= (1/28) / (1/46)

Kd= 1.61

Thus, distribution coefficient was calculated and found to be 1.61.

The distribution coefficient of the solute is defined as the ratio of the concentration of solute dissolved in organic solvent to the concentration of solute dissolved in aqueous phase.

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Answer:

In rectilinear motion F = M a describes the motion of a particle

Γ = I α      (torque equals moment of inertia times angular acceleration is the equivalent law in circular motion)

A fixed central force is perpendicular to the direction of motion and cannot change the torque about the point. (for mechanical forces)

However, for electrical forces, F = Q V X B and a changing magnetic field at the center of motion can produce a force perpendicular to the direction of motion.

Perhaps, the question needs to be more specific.

With the concept of Probability the chance of getting exactly 2 defective bulbs is 0.311

Probability is the branch of mathematics which deals with the determination of the chance or likeliness of an event to occur. Probability may be defined as the ratio of favorable outcomes to the total number of outcomes in an event, mathematically,

[tex]Probability( X)=\frac{F}{T}[/tex]

where,

[tex]F[/tex] = favorable outcomes for a random event X.

[tex]T[/tex] =  total outcomes for a random event X.

X = Random event.

Here in the question, there are 24 light bulbs out of which 3 are defective. A person picks 10 bulbs at random, in which we have to find the probability that he selects exactly 2 light bulbs.

So, here the event is X = exactly 2 bulbs are defective out of 10 bulbs.

Now, using Combination, the total number of outcomes possible are,

T = ²⁴[tex]C[/tex]₁₀

The total number of favorable outcomes are,

F = ³[tex]C[/tex]₂ײ¹[tex]C[/tex]₈

The probability of the event X will be,

P(X) =³[tex]C[/tex]₂ײ¹[tex]C[/tex] / ²⁴[tex]C[/tex]₁₀

P(X) = 0.311

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You need to do the necessary calculations and check how they can be ranked.

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The magnitude of the net force causing the car to slow down is 6900 N.

We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as

F = m . a

where F is force, m is mass and a is acceleration

From the question above, we know that

m = 2300 kg

a = 3 m/s²

By substituting the given parameters, we can calculate the net force

F = m . a

F = 2300 . 3

F = 6900 N

Hence, the net force causing to slowdown is 6900 N

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Unlike the consecutive numeric storage method, which uses each digit as an indexing unit, the terminal-digit numeric storage method divides a number into three groups of digits.

What does terminal-digit numeric storage mean?

The fundamental numeric method might not be practical, so a different option is to use terminal-digit filing, which separates a number into three groups of digits. The goal is to denote primary (first), secondary, and tertiary (final) groupings of numbers.  These primary, secondary, and tertiary numbers tell the location of the record.

What does consecutive numeric storage mean?

Each digit serves as an indexing unit in the consecutive storage method, also known as serial or straight number filing. To determine  filing order, a number's first digits are compared. Following a comparison of the first two digits, the third digits are evaluated, and so on. The numbers used may be written on the record or may be a component of the record itself, such as a number on an invoice. As each new record is added to the system, the number assigned to it increases.

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The 10 push-ups must Jaycie complete to do 200 J of work. If one push-up is applying a force of 10 N to raise her center of gravity 2 m.

As, we know that

W = F × S

where,

F is the force

W is the work done by the body

S is the distance travelled by the body

Given,

F = 10N

S = 2m

By substituting all the values, we get

W = 10 × 2

W = 20J

So, the 20J work is done by one push up.

Therefore,

200/20

= 10 push ups

Thus, we concluded that the 10 push-ups must Jaycie complete to do 200 J of work. If one push-up is applying a force of 10 N to raise her center of gravity 2 m.

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A tank is in the shape of an inverted cone, having height h = 3.31 m and base radius r = 0.799 m. of water is poured into the tank at a rate of 11.8 m/s.

It take to fill the tank

Using the similarity of triangles,

[tex]\frac{0.799}{r} =\frac{3.31}{h} \\r=0.241h[/tex]

Volume of water tank

[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \times 3.14\times (0.241h)^2\times h\\V=0.0608h^3[/tex]

The resultant velocity of the parachute is 3.4 m/s.

The term resultant velocity refers to the effective velocity  with which the parachute moves. We know that velocity is a vector quantity. Recall that a vector is known to have both magnitude and direction.

Given that the magnitude of the resultant vector can only be obtained geometrically we have;

Vertical component =   3.0 m/s

Horizontal component = 1.6 m/s

Resultant velocity = √(3)^2 + (1.6)^2

= 3.4 m/s

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Atomic electron arrangement is the only factor that affects how they behave chemically.

The electron arrangement is independent of whether an atom contains three or four neutrons. All that matters is how many protons there are and how many electrons there are to match them, which determines how these atoms will behave chemically. When grouping atoms in the periodic table, we designated a box as an element when all of the atoms have the same number of protons (with a corresponding symbol) Thus, the sole difference between the various forms of an element is its number of neutrons; we refer to these forms as the element's isotopes. Both lithium-6 and lithium-7 have three protons and three neutrons.

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Gold fillings, also called inlays or onlays, consist of alloys of gold, copper, and other metals. This type of filling is usually the most durable and is considered to last 20 years or more, but it is also the most expensive.

Gold fillings are less common than they used to be, but are still a viable option for obtaining fillings. Gold is durable and resilient, so with proper care, gold fillings can last a lifetime.

Gold is one of the oldest tooth restoration solutions in dentistry and is still used today due to its durability. Gold crowns are rarely used in modern dentistry (except for aesthetic reasons), but gold components are used in combination with other metals such as nickel, chromium, and palladium.

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An object is thrown 16 m/s straight up from a 7 m tall cliff. 5.73 seconds  time does it take to hit the ground.

From the statement, We have object thrown straight up from a tall cliff and we have to determine how much time does it take to hit the ground below.

initial velocity [u] = 16 m/s

Height of cliff [h] = 7 m

Time taken by the object to attain maximum height with reference to cliff-

v = u + at

0 = u - gt

u = gt

t = u/g = 16/9.8 = 1.63 seconds

Maximum height attained with reference to cliff will be =v² - u² = 2aS

v = 0 [at maximum height]

-u² = - 2gS

u² = 2gS

S = u²/2g = (16 x 16)/(2 x 9.8) = 13.1 meters

Now, the all distance covered by the ball from maximum height untill it reaches the ground =

Downward distance (Max. height to cliff) + 7 m = 13.1 + 7 = 20.1 m

Now, time took  from top to reach the ground will be -

S = ut + 1/2 at²

S = 0 + 1/2 at²

S = 1/2 at²

t [2] = √2S/g = √(2 x 20.1)/(9.8) = 4.1 s

Hence, the time taken by the ball to hit the ground below will be =

1.63 + 4.1 = 5.73 seconds

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Answer:

Small Devices

Explanation:

firefighters wear small electronic devices that transmit to a location at a command system.

The region near Tropic zone has the highest average temperatures all year round because the sunlight comes direct on the tropic zone.

In the regions between the equator and the tropics i.e. equatorial region, the solar radiation reaches directly the land vertically during daytime almost the whole year. The temperature is very hot and warm in these regions. Due to high temperatures, more water evaporates in this region and the air has more moisture and high humidity is present. Sunlight hits the Earth directly at the Equator. The sunlight spread over a large area, when we move from the Equator to the poles the temperature becomes decreases. Sunlight falls on a smaller surface area at the Equator so heats up very quickly as compared to the poles.

So we can conclude that Tropic zone has the highest average temperatures all year round because the sunlight comes direct on the tropic zone.

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The net force is 46 N to the left.

We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as

R = F1 + F2 + ... + Fn

where R is force resultant (net force)

From the question above, we know that

(Assume that the right direction is positive and left direction is negative)

F1 = -175 N

F2 = 234 N

F3 = 75 N

F4 = -225 N

F5 = 45 N

By substituting the following parameters, we can calculate the net force

R = F1 + F2 + F3 + F4 + F5

R = -175 + 234 + 75 - 225 + 45

R = -46 N

Hence, the net force is -46 N

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The moment of inertia of the propeller will be "0.3058 k.gm²"

Given.

Angle of rotation, = 124 rad/s

Work completed, W = 2351.3 J

The Work-Energy Principle is used as,

Kinetic energy Equals Net work done; (W) = (K.E)

We are aware,

→ K.E = × l × ω²

then,

→ W = × l × ω²

By exchanging the values, we obtain

2351.3 = × l × (124)²

thus, The moment of inertia,

I = 2351.3 × 2/[tex]124^{2}[/tex]

= 0.3058 k.gm²

The moment of inertia of the propeller will be "0.3058 k.gm²"

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The missing value of medium Air, glass, brass, Wave speed m/s 346, 5,640, 4,700, Frequency Hz 55, 55, 55, and Wavelength m 6.3, 102, is 85.

The frequency of a sound wave is what your ear understands as pitch. A better frequency sound has a better pitch, and a lower frequency sound has a decreased pitch. There are five essential traits of sound waves wavelength, amplitude, frequency, time period, and speed. The wavelength of a legitimate wave shows the gap that the wave travels earlier than it repeats itself. The wavelength itself is a longitudinal wave that shows the compressions and rarefactions of the sound wave.

Sound waves may be defined by way of five traits Wavelength, Amplitude, Time-period, Frequency, and pace or velocity. The minimum distance in which a sound wave repeats itself is known as its wavelength. that is it is the duration of one complete wave. Pitch. The musical term for frequency is pitch. The better the frequency, the better the pitch. the velocity of sound, the velocity at which sound waves propagate thru exclusive substances. the modern fee for the velocity of sound is 331.29 meters 1,086.nine toes in keeping with a second.

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For all practical purposes, the capacitor will have nearly all of its voltage discharged after 5-time constants. Although it never completely discharges to 0 volts, a capacitor does come extremely nearby.

A capacitor does not hold charges, if by charges you mean electric charges. This is a typical misunderstanding, maybe as a result of the term charge's various interpretations. A capacitor's terminals exchange an equal amount of charge when a charge is applied to one of them. The capacitor's overall charge is constant. They save it specifically in an electric field. All of the protons are drawn to all of the electrons. On each capacitor plate, the protons and electrons are distributed equally at equilibrium.

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Answer: 30.3 seconds

Explanation:

1000 m=1 km

33m * 1 km/1000 m=

33 * 1/1000=

33/1000=0.033 km

1/0.033=30.3030...

30.3030=30.3 seconds

The uncertainty in the density is 1.71 g/cm^3 (±0.03)

The density of a body is the ratio of the mass to the volume of the copper sphere. We have been given the mass of the copper sphere and its volume thus we can now find the density of the sphere.

Mass = 112.25 g

Volume = 4/3 π r^3 =  4/3 * 3.142 * (2.50)^3 = 65.5cm^3

Density = 112.25 g/65.5cm^3 = 1.71 g/cm^3

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A circuit element that hinders the flow of current is called a resistor.

Nearly all electronic circuit boards use resistors, which are passive parts. The name "resistor" comes from the resistor's function of exhibiting resistance to current flow.

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Air in a thunderstorm is being heated to temperatures higher than those of the surrounding air by the process of condensation, and because of this, the air is unstable.

A thunderstorm is a small-scale storm that includes both thunder and lighting. Additionally, it frequently delivers heavy rain as well as violent gusts. Some thunderstorms have a chance of producing hail and/or tornadoes. Localized heavy snow showers during the winter may also include thunder and lightning.

In every region of the country and at any time of the year, severe thunderstorms pose a variety of risks to people's lives and property, including flooding, lightning-induced wildfires, tornadoes, wind, and hail. Warm, wet air rises into cold air, creating thunderstorms. Condensation occurs when the warm air cools, which causes water vapor to condense into tiny water droplets. Lower in the atmosphere, the cooled air rises once more after warming.

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