A 65-kg trampoline artist jumps upward from the top of a platform with a vertical speed of 4.2 m/s. Figure 1 of 1 20 m Part A How fast is he going as he lands on the trampoline, 2.0 m below? (Egure 1)

Dependent variables are, as you might guess, variables that depend on certain conditions. An independent variable is a variable whose value can be freely changed. A variable is dependent if its value is adjusted as a direct consequence of a change in the independent variable.

For example, consider a square with side length x. Then its perimeter is 4 times the side length,

P = 4x

and its area is the square of the side length,

A = x ²

If x = 1, then P = 4 and A = 1. If x = 2, then P = 8 and A = 4. And so on. If we treat x as the independent variable, then P and A are dependent variables that depend on the value of x.

But you can also go the other way and express x as functions of P or A, making x a dependent variable that depends on the values of P or A. For example, solving for x in terms of P gives

P = 4x   ===>   x = P/4

Then if P = 4, we have x = 8. If P = 16, then x = 1. And so on. You can think of A in the same way.

You can even go one step further and express the area A as a function of the perimeter P :

P = 4x   ===>   x = P/4

Then

A = x ² = (P/4)² = P ²/16

So in this case, P is the independent variable upon which the dependent variable A depends. If P = 4, then A = 1. If P = 8, then A = 4. etc

In a scientific study, "independent variable" is associated with some quantity or measurement that you control, and the "dependent variable" is the quantity or measurement that you take in response to a change in the independent variable. The meaning of either is the same, but actual studies typically don't involve simple equations like the ones I use as examples here.

The total magnification of the two-lens system is -0.67, which means the image is reduced in size and inverted.

To find the total magnification, we first calculate the individual magnifications for each lens.

For the first lens (focal length = -12.5 cm), the magnification is -1.67, meaning the image is larger and inverted.

The image formed by the first lens becomes the object for the second lens (focal length = 20.0 cm).

For the second lens, the magnification is 0.4, meaning the image is reduced in size and upright.

To find the total magnification, multiply the individual magnifications: (-1.67) x (0.4) = -0.67.

The total magnification is -0.67, indicating a reduced, inverted image.

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Answer: Gravity creates stars and planets by pulling together the material from which they are made.

Explanation:

Gravity is what holds the planets in orbit around the sun and what keeps the moon in orbit around Earth. The gravitational pull of the moon pulls the seas towards it, causing ocean tides.

22.4 m/s² has a radius of 36.5 m.

Acceleration is the rate of change of velocity over time. It is expressed in terms of a vector quantity, with both magnitude and direction. Acceleration can be caused by the application of a force, such as gravity, or by changing the speed or direction of an object. In physics, acceleration occurs when an object changes its velocity, either by increasing or decreasing its speed or changing its direction. Acceleration is measured in meters per second squared (m/s²).

The centripetal acceleration when running at 11 m/s around the curve of an Olympic track, which has a radius of 36.5 m, is 22.4 m/s². The formula for centripetal acceleration is: a_c = v²/r, where v is the velocity and r is the radius. Using this formula, the centripetal acceleration is 11²/36.5, which equals 22.4 m/s².

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The runner's kinetic energy at this instant is 932.4 J.  The runner's kinetic energy increases by a factor of approximately 3.71 when he doubles his speed to reach the finish line.

a) The runner's kinetic energy at this instant can be calculated using the formula KE = 1/2mv^2, where m is the mass of the runner and v is the speed. Substituting the given values, we get
KEi = 1/2(61.0 kg)(5.40 m/s)^2 = 932.4 J


(b) If the runner doubles his speed to reach the finish line, his new speed would be 2(5.40 m/s) = 10.80 m/s. The new kinetic energy can be calculated using the same formula:

KEf = 1/2(61.0 kg)(10.80 m/s)^2 = 3459.6 J
The ratio of the final kinetic energy to the initial kinetic energy is:
KEf/KEi = 3459.6 J/932.4 J ≈ 3.71

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The disk's angular velocity, in rpm, 4.0 s later when 4 N tangential force is applied is 371. 55 rpm

Mass of disk = 4 kg

radius = 36/ 2 = 18 cm

Moment of inertia = 1/2 m R²

                             = 1/ 2 × 4 × 0.18²

                             = 0.0648 kgm²

Tangential force = 4N

ζ = Iα = rF

α= rF /I

   =( 0.18 × 3.5 )÷ 0.0648

   = 9.72 rad / s²

Initial angular speed = 0

After 4 sec the angular speed will be =ω = ω₀ + αt

                                                    = 9.72 × 4

                                                    = 38.89 rad/ s

 ω = (38. 89 × 60 ) ÷ 2π

   = 371. 55 rpm

The speed increase that is coordinated towards the middle is known as Outspread Speed increase and is estimated in Radians each Square Second and the justification behind speed increase is the Centripetal power. At the point when an article or a body moves with a non-uniform speed, it is digressive speed increase.

The force of tangential friction is asymptotically related to the force of static friction as the displacement rises. While the displacement is still relatively small in relation to the diameter of the area of contact, we discovered that the tangential force typically approaches the force of static friction.

Incomplete question:

4.0 kg, 36-cm-diameter metal disk, initially at rest, can rotate on an axle along its axis. A steady 4 N tangential force is applied to the edge of the disk. Part A What is the disk's angular velocity, in rpm, 4.0 s later?

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Answer:

Pluto is no longer considered a planet as a result of it's small size on the IAU scale.

Explanation:

The wave carries energy and momentum, and can interact with matter, causing phenomena such as absorption, reflection, refraction, and diffraction. Understanding the behavior of electromagnetic waves is crucial for many fields of science and technology, such as optics, electronics, telecommunications, and energy.

The proposed form for the electric and magnetic fields of the electromagnetic wave traveling at speed v in the x direction in a vacuum is given by E(x,t) = Emax sin(kx - wt) and B(x,t) = Bmax sin(kx - wt), where Emax and Bmax are the maximum values of the electric and magnetic fields, respectively, k is the wave number, w is the angular frequency, and t is time.
This form satisfies Maxwell's equations for the wave in vacuum, which state that the curl of the electric field is equal to the negative time rate of change of the magnetic field, and the curl of the magnetic field is equal to the time rate of change of the electric field.
The wave propagates through the vacuum as a disturbance in the electromagnetic field, consisting of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of propagation. The magnetic field is created by the motion of charged particles, such as electrons, while the electric field is created by the changing magnetic field.
In vacuum, the wave travels at a constant speed of v = c, the speed of light, and is unaffected by the presence of charges or currents. The wave can be polarized in different ways, such as linear, circular, or elliptical polarization, depending on the orientation and amplitude of the electric and magnetic fields.

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A) The magnitude of the magnetic field at points along the circle with radius R and centered on the wire carrying current I = 180 A is B = μ₀I/(2πR)

B) The numerical value of the magnetic field B at a distance of 0.41 m from the wire is 1.04 x 10^-5 T.

(A) The magnitude of the magnetic field at a distance r from an infinitely long wire carrying a current I is given by the formula

B = μ₀I/(2πr)

where μ₀ is the permeability of free space, which has a value of 4π x 10^-7 Tm/A.

For a circle with radius R centered on the wire, the magnetic field at any point on the circle will have a magnitude given by the above formula with r = R. Therefore,

B = μ₀I/(2πR)

(B) Substituting the given values, we get

B = (4π x 10^-7 Tm/A) x (180 A) / (2π x 0.41 m)

B = 1.04 x 10^-5 T

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Answer:

A solution is always transparent, light passes through with no scattering from solute particles which are molecule in size. ... A colloid is intermediate between a solution and a suspension. While a suspension will separate out a colloid will not. Colloids can be distinguished from solutions using the Tyndall effect.

Explanation:

When a suspension is allowed to stand, the particles separate. A colloid is a substance that exists between a solution and a suspension. A colloid will not separate from a suspension. The Tyndall effect can be used to distinguish colloids from solutions.

In chemistry, a suspension is a heterogeneous mixture of a fluid containing solid particles large enough to settle.

A suspension is a complex blend in which the solute particles do not disintegrate but rather become suspended throughout the bulk of the solvent and float freely in the medium.

A solution is a uniform mixture of one or more dissolved solutes in a solvent.

A solvent is a substance that dissolves a solute to produce a homogeneous mixture. The substance that dissolves in a solvent to form a homogeneous mixture is referred to as a solute.

A colloid is a mixture in which one substance is suspended throughout another, consisting of microscopically dispersed insoluble particles.

Larger particles in a suspension settle out, block or scatter light, and can be filtered out.

A colloid contains particles that are between the sizes of a solution and a colloid; they are not heavy enough to settle or be filtered out, but they still scatter light.

Thus, this way these three are related.

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The statement that is true is that; nuclear fission is used to produce electric power in nuclear reactors.

We know that a fission reaction has to do with a kind of reaction in which a radioactive nucleus is bombarded by the use of a particle and then there is the disintegration of the atomic nucleus in order to produce energy.

This has been one of the ways by which we can be able to generate electricity in several power plants across the world. The loss in the mass of the reactants is the equivalent of the energy produced.

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Answer:

(4) The physical and chemical properties of these minerals determine how humans use them.

Explanation:

All the materials and the metals found on earth shows certain characteristics naturally or in their physical state. These physical characteristics can be their look, their structure, their color, strength, melting point, boiling point, density, etc.

And chemical properties of the metals are defined as those characteristics or features of the metals that it exhibits when these metals reacts chemically.

The physical properties as well as the chemical properties distinguishes each metal from each other. These properties determines how people use these metals in their life.

The new force will be four times the original force.

The gravitational force between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. This is known as the universal law of gravitation, which states that F = G (m1m2/r^2), where F is the force, m1 and m2 are the masses of the objects, r is the distance between them, and G is the gravitational constant.In this scenario, if the mass of both objects is doubled and the distance between them is also doubled, the force will change. Let's suppose that the original force was F1 and the new force is F2. Since the distance between them is doubled, r is now 2r. And since the mass of both objects is doubled, the m1 and m2 are now 2m1 and 2m2, respectively.

Using the formula,

we can find the new force

F2:F2 = G (2m1 * 2m2)/(2r)^2F2

= G (4m1m2)/(4r^2)F2 = (m1m2/r^2) * G* 4F2 = 4F1

Therefore, the new force will be four times the original force.

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Answer:

Cosmic Radiation.

Terrestrial Radiation.

Internal Radiation.

Explanation:

Answer: Cosmic Radiation.

Terrestrial Radiation.

Internal Radiation.

Explanation:

The D. critical path is a series of events and activities with no slack time.

It is a path that defines the longest duration required to complete a project. It is significant in the project management methodology as it helps the project manager establish a timeline for the project while also identifying the activities that are most critical to the project's completion. If an activity on the critical path takes longer than anticipated, the whole project will be delayed, and if an activity is completed earlier than expected, then it might not be worth it to continue the project, and the client might not be willing to pay for it.

The critical path analysis allows managers to identify and control the critical factors that can impact a project's success, enabling them to focus on the most important areas and make informed decisions about the project. So the correct answer is D. critical path, is a series of events and activities with no slack time.

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Answer:

-32

Explanation:

Answer:

200 N/m

Explanation:

Hooke's Law:  F = -kx

x = 10 cm = 0.10 m

k = F/x = -(-20 N)/0.10 m = 200 N/m

Answer:

I think its uniform I dont really know

Answer:

Explanation:

To calculate the height of the table in this scenario, we can use the equations of motion. Let's define the variables first:

Initial velocity (u) = 2.50 m/s (given)

Time taken to reach the floor (t) = 0.391 s (given)

Acceleration due to gravity (g) = 9.8 m/s² (assuming the ball falls freely near the surface of the Earth)

Now, we can use the kinematic equation:

h = u * t + (1/2) * g * t²

Plugging in the given values, we have:

h = (2.50 m/s) * (0.391 s) + (1/2) * (9.8 m/s²) * (0.391 s)²

Simplifying the equation:

h = 0.97875 m + 0.07511 m

h = 1.05386 m

Therefore, the height of the table is approximately 1.05386 meters.

Answer:

1 ms-²

Explanation:

v = u + at

25 = 15 + a× 10

a= 1ms-²

Answer:

The maximum force is 1.8 N.

Explanation:

A pendulum is a vertically hanging spring with a stiffness of 30 N/m and a mass of 320 g. The excitable excitation oscillates vertically around the equilibrium position with an amplitude of 6 cm. Take g = 10m/s. The magnitude of the maximum pulling force of the distance from the suspension point during the oscillation of the weight is

stiffness, K = 30 n/m

mass, m = 320 g

amplitude, A = 6 cm = 0.06 m

g = 10 m/s^2

Let the maximum acceleration is a.

\(a = w^2 A\\\\a = \frac{K}{m}A\\\\Force, F = m a \\\\F = K A\\\\F = 30 \times 0.06 \\\\F = 1.8 N\)

Answer:

1. Installing solar panels on the roof. This is an example of renewable energy, and solar panels help provide electricity for a home.

2. Using LED lights instead of traditional lightbulbs. The modern LED lights use much less electricity and function up to 90% more efficiently than the traditional lightbulbs.

3. Using rain barrels to collect water from the roof. Installing rain barrels to collect rainwater to water your plants and garden is a great way to save water and cut down on your water bill.

Hope this helps! :)

Answer:

Answering the following questions will help you to focus on the outcomes of these experiments:

1.How does the length to height ratio (the IMA) of trial 1 compare to trial 2?

= Trial 1 is 5.09, and Trial 2 is 3.25. Trial 1 is higher because the height of the trial is less than trial 2.

2.Why is the actual mechanical advantage less than the ideal mechanical advantage in each of the trials?

= It is because the machine's ideal mechanical advantage reflects the increase or decrease in force that would have occurred without friction. It is always greater than the actual mechanical advantage because all machines have to overcome friction.

3.If a machine was 100% efficient, how would the AMA compare to the IMA?

= In any real machine, some of the efforts are used to overcome friction. Thus, the resistance force ratio to the effort (AMA) is less than the (IMA).

A frictionless machine would have an efficiency of 100%.

Answer:

x=3

-9x+4= -8-5x

+5x +5x

-4x+4= -8

-4 -4

-4x= -12

/-4. /-4

x=3

Answer:

C) he had more power running than walking

Explanation:

saw it on a quizlet. not 100% sure tho

Hiro walks up a flight of stairs in his apartment building. Later in the day, he runs up the same flight of stairs so He had more power running than walking.

In physics, power is the amount of energy transferred or converted per unit of time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.

Power is related to other quantities; for example, the power involved in moving a ground vehicle is the product of the traction force on the wheels and the velocity of the vehicle.

The output power of a motor is the product of the torque that the motor generates and the angular velocity of its output shaft

Since we know that Hiro will run on stairs to minimize the time of reaching his home so if time decreases then he has to increase his power as power is the ratio of work and time.

Hence Hiro walks up a flight of stairs in his apartment building. Later in the day, he runs up the same flight of stairs so He had more power running than walking.

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Answer:

\(118\; \rm Hz\).

Explanation:

The frequency \(f\) of a wave is equal to the number of wave cycles that go through a point on its path in unit time (where "unit time" is typically equal to one second.)

The wave in this question travels at a speed of \(v= 295\; \rm m\cdot s^{-1}\). In other words, the wave would have traveled \(295\; \rm m\) in each second. Consider a point on the path of this wave. If a peak was initially at that point, in one second that peak would be

How many wave cycles can fit into that \(295\; \rm m\)? The wavelength of this wave\(\lambda = 2.50\; \rm m\) gives the length of one wave cycle. Therefore:

\(\displaystyle \frac{295\;\rm m}{2.50\; \rm m} = 118\).

That is: there are \(118\) wave cycles in \(295\; \rm m\) of this wave.

On the other hand, Because that \(295\; \rm m\) of this wave goes through that point in each second, that \(118\) wave cycles will go through that point in the same amount of time. Hence, the frequency of this wave would be

Because one wave cycle per second is equivalent to one Hertz, the frequency of this wave can be written as:

\(f = 118\; \rm s^{-1} = 118\; \rm Hz\).

The calculations above can be expressed with the formula:

\(\displaystyle f = \frac{v}{\lambda}\),

where

Answer:

118

Explanation:

The mine involves digging tunnels and shafts deep underground is the underground mining.

Mining is the digging of the Earth deep down in search of some precious elements or resources found on Earth.

Underground mining is the digging down into the earth in order to create tunnels. The shafts need to be inserted into those tunnels so that it reaches the deposits of resources.

Thus, underground mining involves digging tunnels and shafts deep underground.

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Electric charge inside a sealed electrical system is influenced by power input signal and component resistance. The pace at which electrons travel is called current.

The elements influence very strong a current flow is: Resistance of the cable and its cross-section. the conductor's material composition and thickness. the possible difference between the conductor's two points. the rate of electron drift and its density

The amount or fluid velocity of electrons passing a location in the circuit inside one time is known as current. Cranking amps, or amps for short, is another name for current flow. More current is going to flow whenever the voltage is greater, and less current is going to move because when voltage is lesser.

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The potential difference (Vab) between the conductors is equal to the electromotive force (EMF) of the battery.

When a capacitor is charged by connecting its two conductors to opposite terminals of a battery, the battery acts as a source of electrical energy, which causes the buildup of charge on the plates of the capacitor.

The potential difference (Vab) between the conductors of the capacitor is equal to the amount of electrical energy stored in the capacitor per unit of charge, which is equivalent to the electromotive force (EMF) of the battery. Therefore, the potential difference (Vab) is equal to the voltage of the battery, which is the maximum potential difference that can be obtained across the capacitor.

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Answer:A

Explanation: