I really need your help, please help me. How do I solve for ke without even having mass

I Really Need Your Help, Please Help Me. How Do I Solve For Ke Without Even Having Mass

Answers

Answer 1
I’m not fully sure - I’m studying the same topic as you in school and we haven’t covered it yet. BUT I can help you a teeny bit....

Note: You May know this but velocity means speed.

The formula for calculating kinetic energy is :

Ek = 1/2 mv2

E= kinetic energy ( J )
M= mass (kg)
V = velocity (m/s)
I Really Need Your Help, Please Help Me. How Do I Solve For Ke Without Even Having Mass

Related Questions

In the simple AC circuit shown on the right, C = 0.075 F, L = 0.085 H.c=0.075FL=0.085HA.) Express the resonance angular frequency, ω0, in terms of L and C.B.)Calculate the value of ω0, in radians per second.

Answers

The resonance angular frequency (ω0) in a simple AC circuit can be expressed in terms of the inductance (L) and capacitance (C) as ω0 = 1 / √(LC). To calculate the value of ω0 in radians per second, we need to substitute the given values of L and C into the equation.

In a simple AC circuit consisting of an inductor (L) and a capacitor (C), the resonance angular frequency (ω0) is the frequency at which the circuit exhibits maximum response or resonance. It can be calculated using the formula ω0 = 1 / √(LC), where L is the inductance and C is the capacitance.

To calculate the value of ω0, we substitute the given values of L = 0.085 H and C = 0.075 F into the equation. Plugging these values into the formula, we get ω0 = 1 / √(0.085 * 0.075).

Simplifying the expression, we find ω0 = 1 / √(0.006375) = 1 / 0.0799 ≈ 12.518 radians per second.

Therefore, the value of ω0, in radians per second, for the given circuit is approximately 12.518.

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place a card over the open top of a glass filled to the brim with water and invert it. why does the card stay in place? try it sideways.

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Answer:

The card stays in place because of the air pressure inside the glass and the weight of the water. When the glass is filled with water and the card is placed on top, there is no air between the water and the card. When the glass is inverted, the weight of the water creates a vacuum, and the air pressure inside the glass decreases. This decrease in air pressure creates a force that presses the card against the mouth of the glass, which keeps the card in place.

When the glass is tilted sideways, the water can leak out and break the vacuum seal, causing the card to fall off. The force of gravity on the water pulls it towards the edge of the glass, creating a gap between the water and the card, which allows air to flow into the glass, breaking the vacuum seal.

When you place a card over the open top of a glass filled to the brim with water and invert it, the card stays in place because of the forces of air pressure and surface tension.

Air pressure is the force of the air pushing down on the top of the card. Surface tension is the force between two particles of water that creates a thin film of the liquid on the surface.

This creates an upward force which helps to keep the card in place. If the card is placed sideways, air pressure is no longer pushing down on the card, but surface tension is still helping to keep the card in place.

The card will stay in place because the water molecules are attracted to each other and form a bond which helps to keep the card in place.

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A clock pendulum swings from a height of 40cm. The mass of the pendulum is 25g.

Gravitational field strength is 9.8N/KG

Find the downward velocity of thr pendulum

Answers

The downward velocity of the pendulum is 2.8 m/s

How can one determine the downward velocity of the pendulum?

The downward velocity of the pendulum can be found using the formula:

v = √(2gh)

where v is the velocity, g is the gravitational field strength (9.8 N/kg), h is the height (40 cm), and √ is the square root.

Converting the height to meters and plugging in the values we get:

v = √(2 * 9.8 * 0.4) = √(7.84) = 2.8 m/s

Therefore, the downward velocity of the pendulum is 2.8 m/s.

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According to Levins Morales, in "What Race Isn't: Teaching About Racism, when confronted with the reality that
race is not biologically real, does she find it problematic to respond "We're all human beings" why or why not? Is this
similar to stating "All Lives Matter"?

Answers

Answer: According to author bell hooks, in "What Race Isn't: Teaching About Racism," when confronted with the reality that race is not biologically real, it is problematic to respond "We're all human beings" because it obscures the ways in which race and racism are social constructs that impact people's lives. This response can be seen as similar to stating "All Lives Matter" because it ignores the systemic inequalities and racial injustices that some communities face. Both of these responses downplay the complexities and nuances of race and racism, and prioritize the idea of racial unity over acknowledging and addressing systemic inequalities and injustices.

if you have any questions, let me know​

if you have any questions, let me know

Answers

Answer:

The red car would experience the greatest acceleration.

Explanation:

Newton says that Force equals mass times acceleration or F = ma

We get a = F/m

If we want the greatest acceleration or a, mass or m must be the lowest.

A glide reflection is the composition of transformations that results when a translation is followed by a _____ across a line parallel to the translation vector. reflection

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A glide reflection is the composition of transformations that results when a translation is followed by a reflection across a line parallel to the translation vector.

In a glide reflection, an object is first translated (shifted) along a certain direction and distance. Then, a reflection is applied to the translated object across a line that is parallel to the direction of the translation. This combination of translation and reflection creates a new figure that has both a translation component and a reflection component. The resulting figure is symmetric with respect to the line of reflection and exhibits the characteristic glide or "sliding" effect due to the translation.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C

Explanation:

through the desk....here desk is the student's medium to hear the sound. its oblivious because when he lifts his head away from the desk he hears nothing else

What factors led to the decline of the Spanish and Portugeuse based on their height of power in the 1450 to 1750 time period?

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The decline of the Spanish and Portuguese empires between 1450 and 1750 can be attributed to a combination of economic decline, political instability, military defeats, and religious and cultural factors. These factors weakened their global influence, ultimately leading to their downfall during this time period.

Several factors led to the decline of the Spanish and Portuguese empires between 1450 and 1750, which were once at the height of their power during this time period.


Firstly, economic decline played a major role in their downfall. The Spanish and Portuguese economies were heavily dependent on their colonies for resources, such as gold, silver, and agricultural products.

However, as other European nations started to establish their own colonies, the demand for goods from the Spanish and Portuguese colonies decreased. This led to a decrease in their trade revenue, and in turn, weakened their economies.


Secondly, political instability contributed to their decline. Both empires faced various internal conflicts, such as the War of Spanish Succession (1701-1714) and the Portuguese Restoration War (1640-1668). These wars drained their resources and weakened their central governments, making it difficult for them to maintain control over their vast territories.


Thirdly, military defeats and the rise of other European powers also played a significant role in the decline of the Spanish and Portuguese empires. For example, Spain suffered several military defeats against England, the Dutch Republic, and France, which led to the loss of some of their territories.

Similarly, Portugal lost its colonies in Asia to the Dutch and British, which further weakened their global influence.


Lastly, the religious and cultural factors cannot be ignored. The Spanish and Portuguese empires were strong supporters of Catholicism, which often led to conflicts with Protestant nations.

The aggressive spread of their religion and cultural practices in their colonies also created tensions, leading to resistance and uprisings among the local populations.

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a car sitting at a red light begins to accelerate at 2.0 m/s 2 m/s2 when the light turns green. it continues with this acceleration until it reaches a speed of 20 m/sm/s . it then travels at this speed for another few minutes. how far does the car travel in the first 34 ss after the light changes to green?

Answers

The car travels a distance of 820m in the first 34s after the light changes to green.

Acceleration, a = 2ms⁻²

Initial velocity, u = 0 ms⁻¹ (Since the car start from rest)

Final velocity, v = 20 ms⁻¹

From first equation of motion,

v - u = at

20 - 0 = 2 × t

20 = 2t

t = 10s

From second equation of motion,

S = ut + ¹/₂ at²

Distance travelled during 10s:

S₁ = 0 × 10 + ¹/₂ × (10)²

S₁ = 100m

Distance travelled for the remaining 36s:

S₂ = v × t

S₂ = 20 × 36

S₂ = 720m

Total distance travelled:

S = S₁ + S₂

S = 100 + 720

S = 820m

Therefore, the car travels a distance of 820m in the first 34s after the light changes to green.

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A classmate states that continental drift could not be possible because it would take far too much force to move tectonic plates. Describe the hypotheses scientists use to explain the movement of tectonic plates. Which hypothesis do many scientists think may explain the great force needed to move the plates?

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The theory of plate tectonics explains the movement of the Earth's lithosphere (the rigid outer shell) that consists of several large tectonic plates. The movement of these plates is believed to be driven by convection currents in the Earth's mantle, which is the layer beneath the lithosphere.

Scientists have developed two main hypotheses to explain the driving forces behind plate tectonics: ridge push and slab pull.

Ridge push is the hypothesis that the force driving plate movement comes from the elevated position of the mid-ocean ridges, where new crust is formed by volcanic activity. As new crust is created at the ridge, it pushes the older crust away from the ridge and towards the subduction zones, where it is recycled back into the mantle. This process creates a kind of conveyor belt that drives the plates apart from each other.

Slab pull is the hypothesis that the force driving plate movement comes from the sinking of the oceanic lithosphere at subduction zones. As an oceanic plate is subducted beneath another plate, it pulls the rest of the plate along with it, causing the entire plate to move. This process creates tension in the lithosphere, which is released through the movement of the plates.

While both hypotheses have their merits, most scientists believe that slab pull is the primary driving force behind plate movement. The force required to subduct a cold, dense oceanic plate beneath another plate is thought to be sufficient to overcome the resistance of the lithosphere and move the plates. Additionally, evidence suggests that subduction zones are where the majority of plate motion occurs.

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A student in Europe performs the same experiment, but the AC frequency there is 50 Hz. How different length of sensitized tape will he need in order to get 25 spark marks, compared to the length of your tape for the same number of marks? Give the result in centimeters.

Answers

Answer and Explanation:

The computation is shown below:

The ac frequency in the United States is 60 Hz

The ac frequency in Europe is 50 Hz

So,

Time for 25 spark in United stated is 25 ÷ 60 s

Time for 25 spark in Europe is 25 ÷ 50 s

Now

Tape length in United States is

= 0.5 × 9.8 × (25 ÷ 60)^2

= 0.85 m

= 85 cm

And,  

Tape length in europe is

= 0.5 × 9.8 × (25 ÷ 50)^2

= 1.225 m

= 122.5 cm

So, As it can be seen that

= 122.5 cm - 85 cm

=  37.5 cm

Europe has 37.5 cm more than in the United States

In a circuit, what is responsible for lighting a bulb?

1. flow of neutrons

2. flow of protons

3. flow of electrons

4. flow of photons​

Answers

Answer:

3) flow of electrons, if im correct

Answer:

3

Explanation:

The flow of electrons. A current means the flow of electrons and without a current there would be no electricity therefore the bulb would not light up.

Which will have the greater acceleration rolling down an incline— a bowling ball or a volleyball?

Answers

Answer:

Bowling ball

Explanation:

The bowling ball's mass will make it roll down the incline faster than the lighter volleyball.

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A. It Implies That M Is Finitely Generated. B. It Implies That M Has Nonzero Elements Of Nonzero Order. C. When Every Non-Null Element Has Null . D. In The Case That The Ring R Is A Body. E. None Of The Above Alternatives Gives A
Which of the following alternatives give a true statement. Justify your answer.
A modulus M over a ring R has a finite basis:
a. It implies that M is finitely generated.
b. It implies that M has nonzero elements of nonzero order.
C. When every non-null element has null .
d. in the case that the ring R is a body.
e. None of the above alternatives gives a true statement.
Which of the following statements are true?
a. If a subset of a module generates that whole module, then the subset cannot be
empty.
b. Every submodule S of a module M verifies the inequality C. Two different subsets of M have to generate two different submodules of M.
d. If S generates a submodule N of the module M, then contains S.
e. Neither statement is true.

Answers

The correct answer is e. None of the above alternatives gives a true statement. None of the statements in options a, b, c, and d are true when it comes to a modulus M over a ring R having a finite basis.

When a modulus M can be formed entirely from a finite set of elements, the modulus M is said to be finitely generated. M's finite basis does not, however, automatically imply that M is finitely generated. A basis is a set of linearly independent elements, and it might not be enough to produce all of the components of the modulus.

According to the assertion in option b, M must include nonzero items of nonzero order if it has a finite basis. This is untrue, though. The smallest positive number k, such that the element raised to the power of k equals the identity element, is referred to as the order of an element.

According to option c, every non-null element in a modulus with a finite basis has a null. Nevertheless, this claim is likewise untrue. It is possible for a modulus with a finite basis to have non-null elements without a null element.

According to option d, a ring R is a body, or a field, and only then can a modulus have a finite basis. However, this assertion is also untrue. Even though the ring R is not a field, a modulus can nonetheless have a finite basis. None of the given alternatives provides a true statement about a modulus M over a ring R having a finite basis.

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A 0.05 kg golf ball at rest was hit with a force of 200N. The golf ball left the club at an angle of 35° to the horizontal at 49m/s. What was the final velocity as it hits the ground

Answers

Note that when the ball is in the air, the only force acting on it is the downward pull of gravity, so the force of the swing is a red herring.

The ball hits the ground at the same height from which it was hit, so its final velocity will have the same magnitude of 49 m/s, but pointing at an angle of 35° below the horizontal.

it is a set of measure designed to determine the level of physical fitness?

plss Pa answer po(^_^)​

Answers

The PFT or physical fitness test is a set of measures designed to determine the level of physical fitness.....

What happens to the thermal energy of the air inside a building when an air conditioner is turned on?

Answers

Answer:

Thermal energy in the building decreases.

Explanation:

Answer:

A - Thermal energy in the building decreases.

Explanation:

What is CGS unit of weight ​

Answers

Answer:

\( \boxed{dyne}\)

Explanation:

The weight of a body is defined as the force with which it is attracted towards the centre of a planet. A spring balance measures it. It's unit is Newton ( N ) in the SI system and dyne in the CGS system.

Hope I helped!

Best regards!

Weight is force.

The CGS unit of force is the dyne.

The SI unit of force is the Newton.

GIVING BRAINLIEST !
answer quick !!!!!

What is the mass of a 1000 N person on Ea

Answers

Answer:

225-Ib person weighs 1000 N

Rank the design scenarios (A through F) on the basis of the tension in the supporting cable Rank from largest to smallest. To rank items as equivalent, overlap them.

Answers

To rank the design scenarios (A through F) on the basis of the tension in the supporting cable, we need to consider the forces acting on each scenario and how they affect the tension in the cable. So, to rank the scenarios from largest to smallest tension in the supporting cable, we have:  A > B > C > E > F > D

Scenario A: In this scenario, the weight of the structure is supported entirely by the cable, so the tension in the cable will be the largest of all the scenarios.
Scenario B: In this scenario, the weight of the structure is partially supported by the cable and partially supported by the legs. The tension in the cable will be less than in Scenario A, but still quite high.
Scenario C: This scenario is similar to Scenario B, but with a shorter span. The tension in the cable will be slightly less than in Scenario B.
Scenario D: In this scenario, the weight of the structure is supported entirely by the legs, so there will be no tension in the cable.
Scenario E: In this scenario, the weight of the structure is supported by two cables at an angle. The tension in each cable will be less than in Scenario A, but more than in Scenario B or C.
Scenario F: In this scenario, the weight of the structure is supported by multiple cables at different angles. The tension in each cable will be less than in Scenario E, but more than in Scenario B or C.

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what is the vapor pressure of a solution that contains 0.72 mole fraction of ethanol? the vapor pressure of pure ethanol is 93 torr.please choose the correct answer from the following choices, and then select the submit answer button.

Answers

the vapor pressure of the solution is 66.96 torr. The correct answer is not provided, but it can be found by comparing it with the available options.

The vapor pressure of a solution can be calculated using Raoult's law, which states that the vapor pressure of a solution is proportional to the mole fraction of the solvent in the solution.

The vapor pressure of the solution containing 0.72 mole fraction of ethanol can be calculated as:

P = X_solvent * P°_solvent

where P is the vapor pressure of the solution, X_solvent is the mole fraction of ethanol in the solution, and P°_solvent is the vapor pressure of pure ethanol.

Plugging in the given values, we get:

P = 0.72 * 93 torr = 66.96 torr

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The text states that luminous matter in the Milky Way seems to be much like the tip of an iceberg. This refers to the idea that ________. luminous matter emits white light, much like the light reflected from icebergs dark matter represents much more mass and extends much further from the galactic center than the visible stars of the Milky Way black holes are much more interesting than ordinary stars that give off light the luminous matter of the Milky Way is essentially floating on the surface of a great sea of dark matter

Answers

The idea that the luminous matter in the Milky Way is much like the tip of an iceberg refers to the fact that the visible stars and gas clouds in the galaxy only make up a small fraction of the total matter present. Just like the tip of an iceberg only represents a small portion of the ice below the surface, the luminous matter we can see in the Milky Way is only a small fraction of the total matter present.

This is because the majority of the matter in the Milky Way is made up of dark matter, which does not emit or absorb light and is therefore invisible to telescopes.
Scientists estimate that dark matter makes up around 85% of the total matter in the universe, and its presence is inferred from the gravitational effects it has on luminous matter. Dark matter is thought to be distributed throughout the galaxy, forming a halo around the visible stars and gas clouds. It extends much further from the galactic center than the luminous matter, which is essentially floating on the surface of a great sea of dark matter.
Although black holes are certainly interesting objects in the Milky Way, they do not play a significant role in the idea that luminous matter is like the tip of an iceberg. Instead, it is the presence of dark matter that dominates the total matter present in the galaxy and makes up the vast majority of its mass. Therefore, the idea that the luminous matter in the Milky Way is much like the tip of an iceberg emphasizes the importance of dark matter in shaping the structure and evolution of galaxies like our own.

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Because the neutron has no charge, its mass must be found in some way other than by using a mass spectrometer. When a neutron and a proton meet (assume both to be almost stationary), they combine and form a deuteron, emitting a gamma ray whose energy is 2.2233 MeV. The masses of the proton and the deuteron are 1.007 276 467 u and 2.013 553 212 u, respectively. Based on this data, what is the mass of the neutron

Answers

Answer:

Explanation:

Energy of gamma ray = 2.2233 MeV

Let mass of neutron be n  amu  

mass defect of deuteron = 2.013553212 - ( 1.007 276 467 + n ) u .

in terms of energy this mass defect will be equal to energy of gamma ray

1 amu = 931 MeV

931 [ 2.013553212 - ( 1.007 276 467 + n ) ] =  2.2233

( 1.007 276 467 + n ) -  2.013553212  = .00238807733

n = 1.008664822 amu

so mass of neutron = 1.008664822 amu

7. A scientist studying a squid observes that the squid at rest
draws in 0.60 kg of water and then ejects that mass
of water back out in 0.15 seconds at a velocity of 15.0 m/s.
What is the average force on the squid during the
propulsion?

Answers

The average force on the squid during the ejection of 0.60 kg of water at a velocity of 15.0 m/s in 0.15 seconds is 60 N.              

We can calculate the average force with the average acceleration as follows:

\( F = m\overline{a} \)   (1)

Where:

m: is the mass of water = 0.60 kg\(\overline{a} \): is the average acceleration

The average acceleration is given by the change of velocity in an interval of time

\( \overline{a} = \frac{v_{f} - v_{i}}{t_{f} - t_{i}} \)   (2)

Where:

\(v_{i}\): is the initial velocity = 0 (the squid is at rest)\(v_{f}\): is the final velocity = 15.0 m/s\(t_{i}\): is the initial time = 0   \(t_{f}\): is the final time = 0.15 s

Now we can find the average force after entering equation (2) into (1)

\( F = m(\frac{v_{f} - v_{i}}{t_{f} - t_{i}}) = 0.60 kg(\frac{15.0 m/s - 0}{0.15 s}) = 60 N \)  

Therefore, the average force on the squid during the propulsion is 60 N.

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Which of the following statements about conservation of mass is true?

Which of the following statements about conservation of mass is true?

Answers

The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.

The correct answer choice is option c.

Understanding why mass mass is conserved in both physical and chemical changes.

It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.

The mass of matter is the same through out in both physical and chemical changes.

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Resistance is a force that __________. A. Speeds objects up B. Slows objects down C. Changes an object's inertia D. Does not relate to object's motion Please select the best answer from the choices provided. A B C D.

Answers

Answer:

A

Not even sure but i think so..

To solve this we need to know each and every concept related to resistance and its calculation. Therefore, resistance is a force that Slows objects down.

What is resistance?

The quality of material that allows the flow of current flow is referred to as resistance. The movement of stream is surely opposed by resistance.

Furthermore, the resistance unit is ohms, which is symbolized by the Greek capital letter omega. An object's electrical resistance is the measure of its resistance to the electric current flowing through it.

Furthermore, the resistance is affected by the voltage across such a resistor as well as the current running through it. Resistance is a measure of the resistance to flow of current in a certain electrical circuit.

Therefore, resistance is a force that Slows objects down.

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name two types of common chemical reactions

Answers

Two types of common chemical reactions are combustion reactions and precipitation reactions.

Combustion reactions and precipitation reactions are two types of common chemical reactions.

Combustion reactions involve the rapid combination of a substance with oxygen, resulting in the release of energy in the form of heat and light.

For example, the burning of gasoline in an engine is a combustion reaction.

Precipitation reactions, on the other hand, occur when two aqueous solutions react to form an insoluble solid called a precipitate.

This reaction is driven by the formation of a solid that is no longer soluble in the solution.

An example of a precipitation reaction is when silver nitrate and sodium chloride solutions combine to form silver chloride, which precipitates as a solid.

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what are electric field lines?

Answers

An imaginary line or curve representing an electric field is called a "electric field line" and it can be traced from any point along it to determine the direction of the electric field there.

1. Electric field lines with a positive charge at one end and a negative charge at the other

2. The number of field lines that begin or terminate at a charge is inversely correlated with the charge's size.

We may determine the direction of the electric force that will act on a positive charge if it is placed at any given spot by looking at the direction of the electric field line at that location. Since we are aware that a charge would experience a force when placed in an electric field and that force is a vector quantity, it is necessary to describe both its magnitude and its direction. The direction of the electric field in space determines the direction of the electric force acting on a charge. If the charge is negatively charged, an electric force will act on it that is counter to the direction of the point's electric field.

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A compounded reverted gear train is to be designed as a step up gear to increase the speed by 48 times. With pressure angle of 20

, specify suitable numbers of teeth to minimize gearbox size and avoid interference problem in the teeth. Sketch the designed compounded reverted gear system, indicating the gear positions and their numbers of teeth.

Answers

The first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48.

To design a compounded reverted gear train as a step-up gear with a speed increase of 48 times while minimizing the gearbox size and avoiding interference problems, we need to carefully select the numbers of teeth for the gears.

The compounded reverted gear train consists of two sets of gears: the first set is the compound gear train, and the second set is the reverted gear train. The compound gear train is used to achieve a moderate speed increase, and the reverted gear train further amplifies the speed.

To determine suitable numbers of teeth, we can start by considering the speed increase ratio of 48. This ratio can be achieved by breaking it down into smaller ratios for the compound and reverted gear sets. For example, we can choose a speed increase ratio of 6 in the compound gear train and a ratio of 8 in the reverted gear train.

Next, we need to select suitable numbers of teeth for each gear to avoid interference problems and ensure smooth operation. To minimize gearbox size, we aim to keep the gears as small as possible. One approach is to use gears with a small number of teeth, which can help reduce their size.

For the compound gear train, we can select gears with, for example, 12 and 72 teeth. This gives a speed increase ratio of 6. For the reverted gear train, we can choose gears with 8 and 64 teeth, resulting in a speed increase ratio of 8.

The sketch of the designed compounded reverted gear system would show the gear positions and their numbers of teeth as follows:

     ----    12 teeth    ----

   /                              \

--- 72 teeth 8 teeth ---

\ /

      ---- 64 teeth ----

In this configuration, the first gear set (12-72) provides a speed increase of 6, and the second gear set (8-64) further increases the speed by a factor of 8, resulting in an overall speed increase of 48. By carefully selecting the numbers of teeth and the gear ratios, we can achieve the desired speed increase while minimizing the size of the gearbox and avoiding interference problems between the gear teeth.

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A balloon weighing 15 grams is filled with helium (density = 0.180 kg/m³) to a volume of 6.0 m³ and attached to a spring of force constant 120 N/m. It Determine the extension of the spring, L, when the balloon is in equilibrium. The density of air is 1.29 kg/m³.

Answers

The extension of the spring, L, when the balloon is in equilibrium is 0.63 m.

Weight of the balloon = 15 g = 0.015 kg

Density of helium = 0.180 kg/m³

Volume of balloon = 6.0 m³

Force constant of spring, k = 120 N/m

Density of air = 1.29 kg/m³

Extension of the spring, L, when the balloon is in equilibrium using Hooke's law, F = kx

Let's first find the buoyancy force on the balloon when it is filled with helium and determine its weight. Buoyancy force = weight of the air displaced by the balloon

Buoyancy force = Density of air × volume of the balloon × gravitational acceleration = 1.29 kg/m³ × 6.0 m³ × 9.8 m/s² = 75.768 N

Weight of the balloon = Mass of the balloon × gravitational acceleration= 0.015 kg × 9.8 m/s² = 0.147 N

Therefore, the net force acting on the balloon when it is filled with helium is given by

Net force = Buoyancy force - Weight of balloon = 75.768 N - 0.147 N = 75.621 N

This net force acts upward on the balloon.

Now, using Hooke's law, we can determine the extension of the spring, L, when the balloon is in equilibrium.

F = kx, where F is the net force acting on the balloon, and k is the force constant of the spring.

Substituting the values of F and k, we get75.621 N = 120 N/m × L

Therefore,

L = 75.621 N / 120 N/m = 0.63 m

Therefore, the extension of the spring, L, when the balloon is in equilibrium is 0.63 m.

To know more about Hooke's law, refer to the link below:

https://brainly.com/question/30379950#

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