8. Which formula gives you the measure of how much work has been
done?
a. work input = Fe x De
b. efficiency = work output/ work input
c. MA = effort arm + resistance arm
d. work force x distance
=

In the small angle approximation, the normal mode frequencies of the double pendulum can be found by linearizing the equations of motion around the equilibrium positions. The normal mode frequencies depend on the lengths of the pendulums and the gravitational acceleration.

The small angle approximation assumes that the angles of the pendulums are small, which allows us to linearize the equations of motion. By expanding the trigonometric functions in the Lagrangian to first order in the angles Ø1 and Ø2, we can simplify the expression.

To find the normal mode frequencies, we need to consider small oscillations around the equilibrium positions. Let's denote the equilibrium angles as Ø1 = Ø2 = 0. We can write Ø1(t) = θ1(t) and Ø2(t) = θ2(t), where θ1 and θ2 represent the small deviations from the equilibrium angles.

By substituting these expressions into the linearized Lagrangian and applying the Euler-Lagrange equations, we obtain two coupled differential equations for θ1 and θ2. These equations can be written in matrix form as M * X'' + K * X = 0, where X is the column vector [θ1, θ2] and M and K are matrices related to the mass and stiffness of the system.

Solving this eigenvalue problem, we find the normal mode frequencies as the square roots of the eigenvalues of the matrix (K * M^(-1)), where M^(-1) is the inverse of the mass matrix.

The normal mode frequencies depend on the lengths of the pendulums (l) and the gravitational acceleration (g). The precise expressions for the frequencies can be obtained by calculating the eigenvalues of the matrix (K * M^(-1)) using the given Lagrangian.

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The tension or compression of F CD = 3375 lb (G), F HI = 5625 lb (G), F CJ = 6750 lb (G)

Latin roots for the verb "to stretch" give us the word "tension." testing a portion of the force, such as a particular type of pull force. Any two physically connected objects may apply forces to one another. Depending on the kinds of things in contact, this contact forces different names. The force tensions are what we refer to when one of the items applying the force is a rope, string, chain, or cable. The force that results from compressing a material or object is called the compression force. Compression forces are the result of shearing forces aligning into one another. From hand tools to compression brakes, the compression force is employed to power everything. An essential engineering aspect is the compressive strength of materials and structures.

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The complete question:

Determine the force in members CD of the truss, and state if the member is in tension or compression. Take P = 1570lb. Determine the force in members HI of the truss, and state if the member is in tension or compression. Take P = 1570lb . Determine the force in members CJ of the truss, and state if the member is in tension or compression. Take P = 1570lb .

Answer:

She is going at 30.4 m/s at the top of the 35-meter hill.    

Explanation:

We can find the velocity of the skier by energy conservation:

\( E_{1} = E_{2} \)

On the top of the hill 1 (h₁), she has only potential energy since she starts from rest. Now, on the top of the hill 2 (h₂), she has potential energy and kinetic energy.

\( mgh_{1} = mgh_{2} + \frac{1}{2}mv_{2}^{2} \)    (1)

Where:

m: is the mass of the skier

h₁: is the height 1 = 82 m

h₂: is the height 2 = 35 m

g: is the acceleration due to gravity = 9.81 m/s²  

v₂: is the speed of the skier at the top of h₂ =?

Now, by solving equation (1) for v₂ we have:

\( v_{2}^{2} = \frac{2mg(h_{1} - h_{2})}{m} \)  

\( v_{2} = \sqrt{2g(h_{1} - h_{2})} = \sqrt{2*9.81 m/s^{2}*(82 m - 35 m)} = 30.4 m/s \)    

Therefore, she is going at 30.4 m/s at the top of the 35-meter hill.

I hope it helps you!  

lan can decrease the magnetic force on the washers by increasing the distance between the magnet and the pile of metal washers.

A material or object that creates a magnetic field is called a magnet.

The most noteworthy characteristic of a magnet, a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc., as well as the ability to attract or repel other magnets, is caused by this invisible magnetic field.

The strength of the magnetic force produced by a magnet increases when the distance between the magnet and an object experiencing the magnetic force is reduced.

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Combination of these two waves produces a new wave with a similar appearance to the originals but a larger amplitude. So, the statement is true.

Constructive interference is the scientific term for this circumstance, in which the final wave is larger in amplitude than either of the two initial waves.

Interference is a phenomenon where two waves combine to create a new wave that may have a bigger, smaller, or identical amplitude.

Two waves of the same type can interfere with one another, such as interference between two light waves or interference between two sound waves.

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When the masses are released from rest, the block of mass m will accelerate downwards with a force of mg, where g is the acceleration due to gravity. This will cause the cord to move and the block of mass 2m will accelerate upwards with a force of 2mg. Since the pulley is massless and frictionless, the tension in the cord will be the same on both sides of the pulley.

The force exerted by the table on the stand can be found using Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. Therefore, the normal force exerted by the table on the stand is equal in magnitude and opposite in direction to the weight of the entire system.

The weight of the system can be found by adding up the weights of all the components. The block of mass m has a weight of mg, the block of mass 2m has a weight of 2mg, and the stand has a weight of 4mg. Therefore, the total weight of the system is 7mg.

Therefore, the normal force exerted by the table on the stand is 7mg upwards.

To find the normal force that the table exerts to support the entire system, we'll consider the following terms: massless frictionless pulley, frictionless bearings, stand of mass 4m, massless cord, block of mass m, and block of mass 2m.

Step 1: Identify the forces acting on the system.
The entire system consists of the stand (4m) and the two blocks (m and 2m). The force acting on the system is gravity, pulling each mass downward. The total gravitational force is (4m + m + 2m) * g, where g is the acceleration due to gravity (9.81 m/s²).

Step 2: Calculate the total gravitational force.
Total gravitational force = (4m + m + 2m) * g = (7m) * g

Step 3: Determine the normal force exerted by the table.
The normal force is equal in magnitude and opposite in direction to the total gravitational force acting on the system. Since the system is at rest on the table, there is no net vertical force, meaning that the normal force must balance out the gravitational force.

Normal force = Total gravitational force = (7m) * g

So, the normal force exerted by the table to support the entire system is (7m) * g.

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Yes, temperature can be defined as a derived quantity in terms of length, mass, and time.

A derived quantity is a physical quantity that can be expressed in terms of base quantities through a combination of multiplication and division. In the case of temperature, it can be expressed using the concept of the ideal gas law.
The ideal gas law is given by the equation:

PV = nRT,

where P is pressure, V is volume, n is the number of moles of the gas, R is the ideal gas constant, and T is temperature.
1. Pressure (P) is a derived quantity defined as Force/Area. Force is mass (M) times acceleration, and acceleration is length (L) divided by time (T) squared. So, pressure can be expressed as ML/T².
2. Volume (V) is a derived quantity and is a measure of space occupied by a substance. It is expressed in terms of length (L) cubed, or L³.
Now, rearranging the ideal gas law to solve for temperature, we get:
T = (PV) / (nR)
Substituting the derived quantities for pressure and volume, we get:
T = (ML/T² * L³) / (nR)
T = (ML⁴) / (nRT²)
As you can see, temperature is expressed as a derived quantity in terms of length, mass, and time.

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Answer:

let us use the expression v = ./2gS in both the cases.

a) In the first case g = 9.8 m/s^2 and S = 10.3 m.

So v = 14.21 m/s

b) in the second case, g = 1.64 m/s^2 and S = 4.2 m = 3.71 m/s

00

Explanation:

Hardy-Weinberg equilibrium is a useful tool for understanding how populations evolve over time. By understanding the conditions that must be met for a population to be in equilibrium, scientists can study how genetic drift, natural selection, and other factors can cause populations to change over time.

If a population is in Hardy-Weinberg equilibrium, then the frequency of alleles and genotypes in a population will not change from one generation to the next.

Answer: If a population is in Hardy-Weinberg equilibrium, then the frequency of alleles and genotypes in a population will not change from one generation to the next. A population must meet the following conditions to be in Hardy-Weinberg equilibrium:

1. Random mating - Individuals must choose their mates randomly.

2. No mutation - There must be no new mutations introduced into the gene pool.

3. Large population - The population must be large enough to prevent random fluctuations in allele frequencies.

4. No immigration or emigration - There must be no migration of individuals into or out of the population.

5. No natural selection - There must be no selective pressure on any specific genotype.

The Hardy-Weinberg equation can be used to determine the frequency of alleles and genotypes in a population. The equation is as follows:

p² + 2pq + q² = 1

Where:

p = frequency of the dominant allele

q = frequency of the recessive allele

p² = frequency of the homozygous dominant genotype

q² = frequency of the homozygous recessive genotype

2pq = frequency of the heterozygous genotype

Conclusion: Hardy-Weinberg equilibrium is a useful tool for understanding how populations evolve over time. By understanding the conditions that must be met for a population to be in equilibrium, scientists can study how genetic drift, natural selection, and other factors can cause populations to change over time.

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Answer:

i hope it will help you

THANK YOU

Explanation:

thank you

Answer:

3,240,000

Explanation:

72,000 times 45= 3,240,000

There is no rounded number unless u are dividing.

Answer:

It helps prevents falls and supports your body. So having a strong core is beneficial to everyone because it allows your body to function properly. Improved Balance and Stability. Core exercises train the muscles in your pelvis, lower back, hips and abdomen to work together.

To determine the percentage of the initial energy stored in the inductor that is eventually dissipated in the resistor, we need to calculate the energy dissipated in the resistor compared to the initial energy stored in the inductor.

The energy stored in an inductor is given by the formula:

E = (1/2) * L * I^2

where E is the energy, L is the inductance, and I is the current.

The power dissipated in a resistor is given by the formula:

P = I^2 * R

where P is the power, I is the current, and R is the resistance.

Since power is the rate of energy dissipation, we can express the energy dissipated in the resistor as:

Energy_dissipated = P * t

where t is the time.

Let's assume that initially, the energy stored in the inductor is E_initial.

The energy dissipated in the resistor can be calculated as follows:

Energy_dissipated = P * t = (I^2 * R) * t

To calculate the percentage of energy dissipated, we can use the formula:

Percentage = (Energy_dissipated / E_initial) * 100

Given the resistance R = 40 Ω, we can proceed with the calculations.

However, to perform the calculation, we need additional information such as the current or the time involved in the circuit. Please provide the missing information so that we can continue the calculation accurately.

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Among the reasons for the frequent use of composite measures is that they give a more comprehensive and accurate indication of a given variable. Besides, the researcher is seldom able to develop in advance single indicators of complex concepts. A single data item might not have enough categories to provide a range of variation. And lastly, they are efficient data reduction devices.

So, the correct answer is option (e) all of these choices.

Composite measures are used to combine several variables or scores into a single measurement or index. In other words, they are multidimensional measurement tools. It is useful to make this kind of index because it is possible to calculate the reliability and validity of composite measures, which are statistical measures that indicate whether or not the measurements were conducted accurately or are otherwise legitimate.

For example, if a researcher wants to assess the economic development of a country, he/she could create a composite measure by combining data on GDP per capita, literacy rates, and poverty rates. In this case, each of the three variables reflects a different aspect of economic development.

So, the correct answer is E.

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Answer: the first is positive and second is equal

Explanation:

Answer: 1. Positive

Explanation:

Because there is negative charges and positive charges

Answer:

In a longitudinal wave, the crest and trough of a transverse wave correspond respectively to the compression, and the rarefaction.

Explanation:

At that moment, the distance between the cars is changing at a rate of 5.46 meters per second.

Velocity/speed: The rate at which a body's displacement or distance changes is referred to as the body's velocity/speed .A vector quantity is one that has magnitude and direction.

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At this moment, the first car is 5 meters from the intersection, while the second is 12 meters away.

Thus, we have the Distance between the two cars at the Present= √(12² + 5²) = 13 m

The formula for distance change rate is;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd / dt = 2 × 5 × 7 + 2 × 12 × 3  = 142

dd/dt = 142/26 = 5.46 m/s.

At that moment, the distance between the cars was changing at a rate of 5.46 meters per second.

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Answer:

The car that is hald as massive

Explanation:

We can use the eqation for kinetic energy to solve this problem

KE = 1/2mv^2 (where m is mass and v is velocity/speed)

Lets give the original car a mass of 100kg and use the equation

KE = 1/2(100kg)(16m/s)^2 = 12800J

and now lets find kinetic energy of the half as massive car

KE2 = 1/2(50kg)(32m/s)^2 = 25600J

From this, we find that the hald as massive car will experience a greater kinetic energy while travling at double the velocity

Answer:

83790 J.

Explanation:

Potential Energy: This can be defined as the energy possessed by a body, by vitue of it position in the gravitational field. The S.I unit of Potential Energy is Joules (J).

From the question,

P.E = mgh........................................... Equation 1

Where P.E = potential Energy of the bell, m = mass of the bell, h = height of the tower, g = Acceleration due to gravity.

Given: m = 190 kg, h = 45 m.

Constant: g = 9.8 m/s²

Substitute these values into equation 1

P.E = 190×45×9.8

P.E = 83790 J.

Hence the potential energy of the bell is  83790 J.

The biggest advantage of using the trigonometric parallax method at a telescope on Pluto would be the ability to accurately measure the distances to nearby stars.

The trigonometric parallax method involves measuring the apparent shift in position of a star against the background of more distant stars as the observer's position changes due to the Earth's motion around the Sun.

By measuring this apparent shift in position, astronomers can determine the angle between the direction of the star and the direction of the Sun, known as the parallax angle. Using basic trigonometry, the distance to the star can then be calculated.

The trigonometric parallax method is most effective for measuring distances to stars that are relatively close to the Sun, as the parallax angle decreases rapidly with distance.

Therefore, using this method from a telescope on Pluto, which is over 5 billion kilometers away from the Sun, would allow for extremely accurate measurements of the distances to nearby stars that are otherwise difficult to measure accurately.

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Answer:

it C

Explanation:

and have a good day :)))

Answer : (c) Newton's second law

The formula (F = m x a) comes under Newton's second law of motion, which revolves around the concept of momentum and force.

Answer:

sa64

Explanation:

Answer:

The velocity of the crossbow as it recoils is 5 m/s. This can be calculated using the conservation of momentum. The momentum of the system before the bow was triggered is 0 (since the bow is stationary). After launching the bolt, the momentum of the system is (0.10 kg * 25 m/s), so in order for the momentum of the system to remain constant, the crossbow must recoil with a momentum of (5.0 kg * -5 m/s).

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

To determine the acceleration due to gravity on the distant planet, we can follow these steps:

1. Find the time period (T) of one oscillation:
Since the pendulum completes 100 oscillations in 360 seconds, the time period for one oscillation is:
T = 360 s / 100 oscillations = 3.6 s

2. Use the formula for the period of a simple pendulum:
T = 2π√(L/g)
where L is the length of the pendulum (1.20 m) and g is the acceleration due to gravity.

3. Solve for g:
Square both sides of the equation:
T² = 4π²(L/g)
Now, isolate g:
g = 4π²L/T²

4. Substitute the known values:
g = (4 * π² * 1.20 m) / (3.6 s)²
g ≈ 9.8 m/s²

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

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The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.

Find the force experienced by a particle with a charge of (3x10^-8 c) when it is a distance of (2x10^-2 m) away from a second particle with a charge of (6x10^-7 c)

Each fee = -Q

L is the length between charges.

decreased force =

As seen above, two particles, each with a charge of Q, are locked at a distance L apart. A net electric force F acts on every atom. The initial two particles are now locked on either side of a particle with a charge of +q.

Having said that,

The pressure at either end is

...(I)

If the charge q is positioned in the middle, then

Each end charge is under a force of

....(II)

We must determine the value of q.

Equation use (II)

Fill out the formula using the value of F.

Consequently, q is valued at q/8

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