The inventor of a new machine claims that its actual mechanical advantage is 4. Literature on the machine reports its input distance is 81 meters and its output distance is 27 meters. Find the machine's ideal mechanical advantage, and determine whether the developer's claim could be true.

Answers

Answer 1
Final answer:

The ideal mechanical advantage (IMA) of the machine is 3. The developer's claim of an actual mechanical advantage (AMA) of 4 is higher than the calculated IMA, suggesting that some energy is lost to friction. Therefore, the claim is not true.

Explanation:

The ideal mechanical advantage (IMA) of a machine is calculated by dividing the input distance by the output distance. In this case, the input distance is 81 meters and the output distance is 27 meters. Therefore, the IMA of the machine is 81/27 = 3.

The developer's claim of an actual mechanical advantage (AMA) of 4 is higher than the calculated IMA of 3. This suggests that some energy is lost to friction in the machine, reducing its efficiency and resulting in a lower AMA. Therefore, based on the calculated IMA, the developer's claim could not be true.


Related Questions

The speed of sound in dry air is approximately 340 m/s to 342 m/s at 0°c. true or false

Answers

The answer is false! Hope this is correct and helps 

This answer is false!

Light goes from flint glass into ethanol. the angle of refraction in the ethanol is 25.6 ◦ , the index of refraction for flint glass is 1.61, and the index of refraction for ethanol is 1.36. what is the angle of incidence in the glass? answer in units of ◦ .

Answers

Snell's law gives the relationship between the angle of incidence and the angle of refraction:
[tex]n_i \sin \theta_i = n_r \sin \theta_r[/tex]
where
[tex]n_i[/tex] is the refractive index of the first medium
[tex]n_r[/tex] is the refractive index of the second medium
[tex]\theta_i[/tex] is the angle of incidence
[tex]\theta_r[/tex] is the angle of refraction

In our problem, 
[tex]n_i =1.61[/tex]
[tex]n_r=1.36[/tex]
[tex]\theta_r =25.6^{\circ}[/tex]
So if we re-arrange Snell's law and we use these data, we can find the angle of incidence:
[tex]\sin \theta_i = \frac{n_r}{n_i} \sin \theta_r = \frac{1.36}{1.61} \sin (25.6^{\circ}) = 0.365 [/tex]
which gives 
[tex]\theta_i = \arcsin(0.365)=21.4^{\circ}[/tex]
Final answer:

The angle of incidence can be solved by using Snell's law of refraction as follows: θ1 = arcsin[(n2*sin(θ2)) / n1], which when calculating, provides the angle of incidence.

Explanation:

The problem presented in the question can be solved using Snell's Law of refraction. Snell's law is defined as n1*sin(θ1) = n2*sin(θ2), where n1 and n2 are the indices of refraction, and θ1 and θ2 are the angles of incidence and refraction, respectively.

From the given data in the problem we know that n1 = 1.61 (flint glass), n2 = 1.36 (ethanol), and θ2 = 25.6°. What we want to find is θ1 (angle of incidence in glass).

First, rearrange Snell's law to solve for θ1. θ1 = arcsin[(n2*sin(θ2)) / n1]. By substituting the known values, we find θ1 = arcsin[(1.36 * sin(25.6°)) / 1.61].

By calculating this expression, we would obtain the angle of incidence in the glass in degrees.

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Two men each have a mass of 90 kg. If the gravitational force between them is 8.64 10-8 N, how far apart are they? G = 6.67 × 10-11 N⋅(m/kg)2

Answers

Applicable formular:

F = Gm1m2/d^2, where F = gravitational force, m1 & m2 = mass of the two bodies, G = Gravitational constant, d = distance between the bodies.

Substituting;

8.64*10^-8 = (6.67*10^-11*90*90)/d^2
d^2 = (6.67*10^-11*90^2)/(8.64*10^-8)
d = Sqrt [(6.67*10^-11*90^2)/(8.64*10^-8)] = 2.5 m

The two men are 2.5 m apart.

Answer:

2.5

Explanation:

-a p e x

What is the magnitude of δv12 if the bulb is removed from the socket (i.e. the circuit is not closed)?

Answers

If the socket is open after removing the bulb, then the substitute value is
I = 0 A
ΔV₁₂ = IR
= (OA)(2Ω)
= 0 V

Since the circuit is incomplete or not closed, no current flows in the circuit. as per ohm's law , Voltage is directly proportional to current and is given as

V = Voltage = i R where i = current , R = resistance

as no current flows in the circuit, i = 0

the resistance R can not be zero. hence

V = 0 (R)

V = 0 Volts

so the magnitude of the Voltage is zero Volts

A circuit consisting of a 140 µF capacitor in series with a 2 MΩ resistor is connected across a 6 V battery. What is the time constant of the circuit? Answer in units of s.

Answers

The time constant of an RC circuit is given by the product between the resistance and the capacitance of the circuit:
[tex]\tau = RC[/tex]
where R is the resistance and C the capacitance.

For the circuit in our problem, 
[tex]R=2M\Omega = 2 \cdot 10^6 \Omega[/tex]
and
[tex]C=140 \mu F = 140 \cdot 10^{-6}F[/tex]

Therefore, the time constant of this circuit is
[tex]\tau =RC=(2 \cdot 10^{6} \Omega)(140 \cdot 10^{-6} F)=280 s[/tex]

Which statement about the speed of light is true?

A. The speed of light is faster for EM waves traveling through a medium.

B. No object or EM wave can move faster than the speed of light in a vacuum.

C. The speed of light changes depending on the motion of the source.

D. Energy, frequency, and wavelength all affect the speed of light.

Answers

' B ' is the only true one.

Final answer:

Option B is correct; the speed of light is a universal constant in a vacuum and is unaltered by the source's motion or the observer. The speed decreases in different media while the frequency remains constant, leading to a change in wavelength.

Explanation:

The correct statement about the speed of light is that no object or electromagnetic (EM) wave can move faster than the speed of light in a vacuum. This is expressed as option B: No object or EM wave can move faster than the speed of light in a vacuum.

It is a fundamental postulate of the theory of relativity that the speed of light in a vacuum is a constant, which is approximately 3.00×108 m/s, and does not depend on the motion of the source or the observer. In fact, the speed of light will slow down when it passes through a medium due to interactions with the material's atoms, which change its permittivity and/or permeability.

The wavelength and speed of light can change as light enters different media; however, the frequency remains constant. This phenomenon can be explained using the relation n = c/v, where 'n' is the index of refraction, 'c' is the speed of light in a vacuum, and 'v' is the speed of light in the medium. Since the frequency (f) is unaltered, and we know that v = λf (where λ is the wavelength), the wavelength must adjust to accommodate the change in speed when light travels through various media.

One object has a charge of +5.0 · 10-6 c, and a second object has a charge of +2.0 · 10-6
c. the objects are 0.5 meters apart. what is the electrostatic force between them?

Answers

The electrostatic force between two charged objects is given by
[tex]F=k \frac{q_1 q_2}{r^2} [/tex]
where
k is the Coulomb's constant
q1 is the charge of the first object
q2 is the charge of the second object
r is the separation between the two objects

In our problem:
[tex]q_1=+5.0 \cdot 10^{-6} C[/tex]
[tex]q_2 = +2.0 \cdot 10^{-6} C[/tex]
[tex]r=0.5 m[/tex]
So if we plug these numbers into the equation, we can find the electrostatic force between the two objects:
[tex]F=(8.99 \cdot 10^9 Nm^2C^{-2}) \frac{(5.0 \cdot 10^{-6} C)(2.0 \cdot 10^{-6}C)}{(0.5 m)^2}=0.36 N [/tex]

Final answer:

Using Coulomb's Law, the electrostatic force between two positive charges of +5.0 · 10^-6 C and +2.0 · 10^-6 C, 0.5 meters apart, is calculated to be approximately 0.0719 Newtons, indicating a repulsive force.

Explanation:

To calculate the electrostatic force between two charges, we use Coulomb's Law, which is expressed as F = k * |q1 * q2| / r2, where F is the force between the charges, k is the Coulomb's constant (approximately 8.987 x 109 N m2/C2), q1 and q2 are the magnitudes of the charges, and r is the distance between the centers of the two charges.

For the charges of +5.0 · 10-6 C and +2.0 · 10-6 C separated by 0.5 meters, we substitute these values into the formula to get the electrostatic force. Therefore, F = (8.987 x 109) * (5.0 x 10-6 * 2.0 x 10-6)/(0.5)2.

After calculating, F equals approximately 0.0719 Newtons. This force is repulsive since both charges are positive.

Total mechanical energy is equal to _____.
PE + KE
PE × KE
PE ÷ KE
PE - KE

Answers

Total mechanical energy is

potential energy plus genetic energy

The answer is the first choice

Answer:

The total mechanical energy is equal to P.E+K.E.

(a) is correct.

Explanation:

Potential energy :

Potential energy is the store energy and It is represents by U.

It is defined as:

[tex]P.E= U =mgh[/tex]

Where, m = mass of the object

g = acceleration due to gravity

h =height

Kinetic energy :

Kinetic energy is defined as the energy of motion. It represents by K.

It is defined as:

[tex]K.E = \dfrac{1}{2}mv^2[/tex]

Where, m = mass of the object

v = velocity of the object

According to law of conservation,

The total mechanical energy is the sum of the potential energy and kinetic energy is constant in time.

[tex]T = P.E+K.E[/tex]

Hence, The total mechanical energy is equal to P.E+K.E.

How does the doppler effect explain differences in sound pitch? choose all that apply?

Answers

Doppler effect explains that the approaching sound wave has a shorter apparent wavelength than the sound wave moving away thus the approaching sound wave has a higher pitch than the sound wave moving away.

What is doppler effect?

As a wave is approaching towards an observer is amplitude and frequency increases for the observer. Whereas , when it goes away from the observer, thus when it assume longer wavelength the frequency decreases and the intensity of the wave that the observer collects reduces.

The frequency of a sound wave is called pitch. As the wavelength of the wave increases, its pitch decreases. The apparent wavelength of the sound waves near to the observer will be lower.

When the wave moves away its apparent wavelength increases result in the decreased pitch of the sound waves for the observer.

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Which of the following are properties of acids?

Check all that apply.

A. React with certain metals to produce hydrogen gas
B. React with other acids to produce salt and water
C. Taste sour
D. Corrosive

Answers

The properties of acids are: (A), (C) and (D).

Explanation:
Acids taste sour, and most acids are poisonous. Furthermore, acids react with certain metals to produce hydrogen gas. Few acids are corrosive as well. The option (B) is not valid because acids react with BASES (not with other acids) to produce salt and water. Hence A, C and D are the correct options.

The true statements as regarding the properties of acids are:

React with certain metals to produce hydrogen gas (option A)Taste sour (option C)Corrosive (option D)

What are the properties of acids?

An acid is a substance which dissolves in water to produced hydronium ion as the only positive ion.

Acid is know for it unique properties which differentiate them from other substances. Such properties includes:

Acids reacts with metals to produce hydrogen gas.Acids have sour taste.Acids are corrosive in natureAcids react with base to form salt and waterAcids have a pH lower than 7Acid turn blue litmus paper red

With the above information about acids, we can conclude that the correct  statement as given from the options are:

React with certain metals to produce hydrogen gas (option A)Taste sour (option C)Corrosive (option D)

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Suppose the exhaust system on a heat engine is not functioning properly. Which statement best explains how this will affect the engine?

A) The temperature of the gas will not increase during the compression stage.
B) Burned gases will not be released into the surrounding air.
C) The fuel-air mixture will not be able to enter the cylinder.
D) Combustion and subsequent gas expansion will not occur.

Answers

If the exhaust system on a heat engine is not functioning properly then burned gases will not be released into the surrounding air. Therefore, option (B) is correct.

What is the exhaust system?

An exhaust system can be used to guide reaction exhaust gases away from the controlled combustion in an engine. The entire system delivers burnt gases from the engine and involves one or more exhaust pipes.

An exhaust pipe should be carefully designed to carry toxic gases away from the users of the machine. Generators and furnaces can immediately fill an enclosed space with poisonous exhaust gases such as carbon monoxide, hydrocarbons, and nitrogen oxides.

The gases from most kinds of machines are very hot and the pipe must be heat-resistant. It should not pass near anything that can burn or can be damaged by heat. A chimney also serves as an exhaust pipe in a stationary system.

If the exhaust system is not functioning properly then burned gases will not be emitted into the surrounding air.

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Answer:B)

Explanation:

A wave is traveling through a particular medium. The wave source is then modified so that it now emits waves at a higher frequency. Does the wavelength

A.)increase
B.) decrease
C.) stay the same
D.) depend on other factors

Answers

Final answer:

The frequency and wavelength of a wave, traveling through a medium, are inversely related. Therefore if the frequency of the wave increases, the wavelength decreases.

Explanation:

When a wave travels through a medium, it does so with a specific speed determined by the medium's properties itself. The frequency and wavelength of a wave are inversely related according to the wave equation speed = frequency x wavelength. Therefore, if the frequency of a wave increases (as per the question), the wavelength would decrease in order to maintain the same wave speed.

To think of it more intuitively, you can consider that a wave hitting a point more frequently (higher frequency) would mean that the waves are 'packed' closer together, which means a smaller wavelength.

So, the correct answer to your question is B.) decrease.

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Which of the following is an example of social facilitation?

A. The football player who practices hard so he can be on the varsity team
B. The Olympic bicycle racer who goes faster when he is racing against a person rather than the clock
C. The bowler who bowls best when he is practicing on his own
D. The tennis player who is frustrated when the crowd yells at her

Answers

Option B i.e The Olympic bicycle racer who goes faster when is racing against a person rather than a clock.

As the social facilitation refers to the improvement of performance produced by the presence of others, The Olympic bicycle racer who goes faster when is racing against a person rather than a clock is the best example of social facilitation.

The tennis player who is frustrated when the crowd yells at her is not an example of social facilitation. Though there are presence of people, but their yell at her frustrated her which would worsen her performance.

Answer:

The correct answer is option B, The Olympic bicycle racer who goes faster when he is racing against a person rather than the clock

Explanation:

In social facilitation, a person works/performs better than his/her normal work/performance as he/she is in presence of other people. There are basically two type of social facilitation –  

a) co-action effects – when a person  works with other person as a co-worker

b) audience effect – when a person works in the mere presence of another person.  

In this case , an Olympic racer competes with another racer, thus this would be a co –action effect.  

Two beams of coherent light are shining on the same sheet of white paper. when referring to the crests and troughs of such waves, where will darkness appear on the paper?

Answers

Middle of the paper

The middle of the paper will serve as the node and there will be darkness seen at this node.

What is a wave?

A wave is a disturbance along a medium which transfers energy. In this case, the two waves will constitute a standing wave.

The middle of the paper will serve as the node and there will be darkness seen at this node.

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Form of communication that reaches large audiences without personal contact.

Answers

Socialization is the process of internalization of the norms and ideologies of society by an individual. It encompasses learning and teaching to attain social and cultural continuity. It also has various forms. One of which is the MASS MEDIUM/MEDIA which is a form of communication that does not need personal contact to relay or convey and information. Examples of which are books, films, internet, magazines and so forth.

The form of communication that doesn't require personal contact and capable of getting to a large audience is referred to as mass media.

What is Communication?

This is the process in which information is transferred from one person to another.

Mass media which comprises of newspapers, internet etc reach large audiences without personal contact and is the commonest means in these present day.

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What is the source of the radioactive nuclei present in spent fuel rods?

Answers

The answer is nuclear fission.  The source of the radioactive nuclei present in spent fuel rods is nuclear fission.  Nuclear fission is the process in which a large nucleus splits into two smaller nuclei with the release of energy. 

Maggie participated in a race. She ran 100 meters west and then turned back and ran to the starting line to complete the race. Maggie covered this entire distance in 40 seconds. What are her average speed and average velocity?

Answers

Her total distance was 200 meters, since she ran 100 meters west and the same 100 meters back. This gives an average speed of 200 m / 40 s = 5 m/s.

However, her displacement was 0, since she ended at the same place she began, therefore, her average velocity is 0 / 40 s = 0.

Answer:

Explanation:

:)

If it takes a cheetah 0.25 seconds to go from 10m/s to 15 m/s what is the cheetahs acceleration

Answers

acceleration= change in velocity /time taken
=5/0.25 =20m/s^2

The acceleration of the cheetah going from 10 m/s to 15 m/s in 0.25 seconds is 20 m/s², calculated using the acceleration formula a = Δv / Δt.

You want to know the acceleration of a cheetah that goes from 10 m/s to 15 m/s in 0.25 seconds. To calculate the acceleration, you can use the formula:

a = Δv / Δt

Where a represents acceleration, Δv is the change in velocity, and Δt is the change in time. In this case:

Δv = 15 m/s - 10 m/s = 5 m/s

Δt = 0.25 s

Now, plug these values into the formula:

a = 5 m/s / 0.25 s

a = 20 m/s²

So, the cheetah's acceleration is 20 m/s². This is a straightforward example of calculating linear acceleration.

In which of the following forms of energy might you find specially placed tiles on the floor?

Answers

kinetic energy.Kinetic energy is the energy of motion. Floor tiles with electromechanical technology produce electricity when people step on them because movement results in a rotatory motion that generates electrical energy. Kinetic tiles usually work on process known as the piezoelectric effect.^-^

Answer:

Passive solar

Explanation:

Compared with the peak wavelength given off by the Sun, what ls the peak wavelongth given off by a hotter star?

Answers

The spectrum of the Sun, whose surface temperature is about 5,800 K, peaks at a wavelength of light and other electromagnetic radiation that on the whole follow ... Furthermore, the hotter star gives off more of its energy at shorter wavelengths.

Element Z has a half-life of 20 minutes. In an events chain concept map tracing the nuclear decay of a 200g sample of element Z, would any of element Z remain after 160 minutes? If so, how much?

Answers

Radioactive decay expression is stated as:

N(t) = N(o) e^(-0.693t/t1/2)

N(t) = Amount remaining after time t, N(o) = Initial amount at t=0, t1/2 = Half-life.

This expression is of exponential type and thus there is an amount remaining at any given time.

At t = 120 minutes, the amount remaining can be calculated as follows:
Substituting for the values given;
N(160) = 200*e^(-0.693*120/20) = 3.13 g
Final answer:

Given a half-life of 20 minutes for element Z, a 200g sample would undergo eight cycles of reduction by half over 160 minutes, leaving 0.78g of element Z remaining. The element doesn't disappear but transforms into 'daughter elements'.

Explanation:

The concept being discussed here is known as the half-life, which is the time it takes for half the atoms in a sample to decay. In this case, element Z has a half-life of 20 minutes. Given that the half-life is the time it takes for half of a substance to decay, we would use this information to determine the remaining quantity of element Z after 160 minutes.

A 200g sample of Element Z would undergo eight half-life cycles in 160 minutes (20 minutes per cycle). Following the pattern of half-life decay, after each cycle the remaining amount would be 100g, 50g, 25g, 12.5g, 6.25g, 3.125g, 1.56g, and finally 0.78g. So, after 160 minutes, there would be 0.78g of element Z remaining.

Please note that the substance doesn't completely disappear but transforms into decay products or, using the metaphor, 'daughter elements' while element Z is the 'parent' element.

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hey im studying and need help....

Answers

area B cause it lets say ice for intense it goes from ice to water and then to gas depending on how hot the heat is

What is a charestic of an electromagnetic wave?

Answers

it travels at the speed of light 

The electron has the positron as its antiparticle
a. True
b. False

Answers

True
Hope it helps, let me know if this is the answer, so other people know too, and if its not they will ignore this :-)

True

electron has negative charge on it. the antiparticle has the same amount of charge on it but of opposite polarity. hence the antiparticle must have positive charge on it. positron has positive charge on it having same magnitude as that on the electron. hence the above statement is true.

Which type of mirror is used to focus light rays?

Answers

Astronomical (reflecting) telescopes. In a reflecting telescope, instead of a convex objective lens, a concave mirror is used to collect parallel rays from the object and form an image at the focal point
i be leave it is a concave mirror
and please do not report me be cause people do that and say my answers are not good


Tara's cell phone plan costs $39.00 a month, which includes 100 text messages. After she uses all of her text messages, it will cost her $.15 per text message

Answers

i think it is $585.hope it is right

If continental crust were thinner than its average thickness of 40 km, would it depress the mantle more or less than it does now? Explain.

Answers

The continental crust is the layer of granitic, sedimentary and metamorphic rocks which form the continents and the areas of shallow seabed close to their shores, known as continental shelves.

It is less dense than the material of the Earth's mantle and thus "floats" on top of it.

Continental crust is also less dense than oceanic crust, though it is considerably thicker; mostly 35 to 40 km versus the average oceanic thickness of around 7-10 km.

About 40% of the Earth's surface is now underlain by continental crust.

If the continental crust were thinner, it would depress the mantle less because of the reduced mass above the mantle, leading to less displacement below.

If the continental crust were thinner than its average thickness of 40 km, it would depress the mantle less than it does now. This is because the Earth's crust and mantle are in a state of isostatic equilibrium, which is similar to floating objects on a fluid, where less material above results in less displacement below. The continental crust is thicker and less dense compared to the oceanic crust, which allows it to float higher above the mantle. When the crust is loaded with additional weight, such as through mountain building or glaciation, it depresses further into the mantle due to the added mass. Conversely, if the continental crust were thinner, there would be less mass pushing down on the mantle, leading to a reduced depression of the crust into the mantle.

What is the frequency of a microwave that has a wavelength of 5 cm?what is the frequency of a microwave that has a wavelength of 5 cm?

Answers

v= frequency x wavelength

The average velocity of a microwave is 3x10^8m/s.

3x10^8m/s= (.05m) x frequency

f= 6x10^9Hz

Frequency of a microwave is 6 × 10⁹ Hz

Given that;

Wavelength of microwave = 5 cm = 0.05 m

Find:

Frequency of a microwave

Computation:

Velocity of microwave = 3 × 10⁸ m/s

Velocity = Frequency × Wavelength

3 × 10⁸ = Frequency of a microwave × 0.05

Frequency of a microwave = 6 × 10⁹ Hz

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This is junior year english

Answers

D. is the correct answer.
I think the answer is D

When you put a ice cube in a warm drink and the ice cube thermal energy decreases and the drink thermal energy increases, how does the energy move? What is the situation when the ice cube would give off the heat?

Answers

Thermal energy always flows spontaneously from the body that is at a higher temperature to the body that has a lower temperature.
 In this case, the thermal energy flows from the hot beverage that is at the temperature t1 to the ice cube at the temperature t2 until the two reach the same temperature t3.
 Where:
 t1> t2 <t3.
 The ice cube would emit heat if the temperature of the liquid with which it comes in contact with the smaller than that of the ice.
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