Goal: Use dimensional analysis to solve conversion problems. 1. Observe: In the question, you are asked to convert kilometers to centimeters. To do this, first you will convert kilometers to meters. Drag the 1000 meters/1 kilometer tile down. A. What do you notice? __________________________________________________ B. Because kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis. How many meters are in 0.828 kilometers? ________________________________ C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, does your answer to B make sense? ______________________________________

Answer:

The maximum voltage that can be applied without damaging the resistor is 4.85 V

Explanation:

Electric Power in a Resistor

Given a resistor or resistance R connected to a circuit of voltage V carrying a current I. The relation between these three magnitudes is given by Ohm's Law:

V = R.I

The dissipated power P of a resistor can be calculated by the following equation, known as Joule's first law:

\(P = I^2.R\)

Solving the first equation for I:

\(\displaystyle I=\frac{V}{R}\)

Substituting in the second equation:

\(\displaystyle P=\frac{V^2}{R^2}.R\)

Simplifying:

\(\displaystyle P=\frac{V^2}{R}\)

Solving for V:

\(V=\sqrt{P.R}\)

The resistor has a resistance of R=47Ω and can hold a maximum power of P=0.5 W, thus the maximum voltage is:

\(V=\sqrt{0.5\cdot 47}\)

\(V=\sqrt{23.5}\)

V = 4.85 V

The maximum voltage that can be applied without damaging the resistor is 4.85 V

Answer:

melanie ran 8.3 meters per second

Explanation:

I think thats right, hope it helps.

The force exerted on the 0.25-kg baseball is 631 N.

To find the force exerted on the baseball, we can use the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to it multiplied by the time over which the force is applied.

In this case, we can find the change in momentum of the baseball by subtracting its initial momentum from its final momentum:

Δp = p_f - p_i
Δp = (0.25 kg)(56.0 m/s) - (0.25 kg)(45.0 m/s)
Δp = 3.5 kg m/s

We also know the ball-on-bat contact time, t, is 0.040 s.

Now we can rearrange the impulse-momentum equation to solve for the force:

F = Δp/t
F = (3.5 kg m/s) / (0.040 s)
F = 87.5 N

However, this force is the force exerted by the baseball on the bat, not the force exerted on the baseball itself.

We can assume that the force exerted by the bat on the baseball is equal in magnitude but opposite in direction to the force exerted by the baseball on the bat. Therefore, the force exerted on the baseball is:

F = -87.5 N (negative because it is in the opposite direction)
F = -1 * (-87.5 N) (multiply by -1 to get a positive value)
F = 87.5 N

Note that we can also use the formula for average force to solve this problem:

F = mΔv / t
F = (0.25 kg)(56.0 m/s - 45.0 m/s) / (0.040 s)
F = 631 N

This gives us the same final answer as before, but it is a more direct way to find the force.

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Answer:

The moment arm or lever arm is the perpendicular distance between the line of action of the force and the center of moments.

Explanation:

Moment = Force x Distance or M = (F)(d) 

The voltage across the capacitor 11 ms after closing the switch is  11 ms.

To solve this problem, we will use the time constant (τ) of the RC circuit, which is given by the product of the resistance (R) and the capacitance (C):

τ = RC

Since the capacitor is initially uncharged, the voltage across it (Vc) at time t is given by:

Vc = V0(1 - e^(-t/τ))

Where V0 is the voltage of the battery.

At time t = 11 ms, the switch is closed, and the capacitor begins to charge. We are asked to find the voltage across the capacitor at this time.

Since the switch is closed, the resistor is in the circuit, and we need to know its value to calculate the time constant.

However, we are not given the value of the resistor, so we cannot solve the problem with the information given.

We need either the value of the resistor or the time constant to calculate the voltage across the capacitor at 11 ms.

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Answer:

They transform energy

Explanation:

thermodynamics deals with transfers of energy from one place to another and from one form to another and it's also deal with the relationship between heat and other forms of energy

Answer:

the answer is  b

Explanation:

The particles in the cold water moved at a slow rate until an increase in temperature caused an increase in particle motion in the hot tea.

According to the kinetic theory of matter, the particles that compose matter are in constant random motion. The particles collide frequently with each other as well as with the walls of the container.

The temperature of the system refers to the average kinetic energy of the molecules of the body. At a lower temperature, the speed of the particles of water is slow. As the temperature increases, more kinetic energy is imparted to the molecules of water and they move faster.

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The velocity of the mass after the force has stopped acting is 14 m/s.

The velocity of an object is the speed at which the object is moving in a specified direction.

Momentum is related to velocity and mass by the formula:

The velocity of the mass after 8 seconds is first determined.

Change in linear momentum = (1/2 × 2 × 6) + (6 × 4) + (1/3 ×2 × 6) = 36 kgm/s

Initial momentum = 18 kg × 12 m/s = 216 kgm/s

Final momentum = 216 + 36 = 252 kgm/s

Final Velocity = final momentum/mass

Velocity = 252/18 = 14 m/s

After 8 seconds, the force stops acting.

Therefore, the velocity of the mass after the force has stopped acting is 14 m/s.

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Answer:

The answer is the third one.

C.

Hope this helps!

Answer:

option C) the iris

Explanation:

2023

The circular path is the shape of a charged particle's trajectory when it travels perpendicular to the a uniform magnetic field.

What is a magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is moving through a magnetic field.

In a magnetic field, a charged particle travels along a curved path because the magnetic force is perpendicular to the direction of motion. The particle keeps moving along this curved path until it completes a full circle.

Hence, the shape of the trajectory is circular followed by a charged particle as it moves perpendicular to a uniform magnetic field.

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Answer:

Isotopes are the elements having the same atomic number i.e same number of protons which in turn is equal to same number of electrons. Number of protons and electrons are equal as the atom is electrically neutral. So, the only option is A.

I hope it helps you !

Answer: B (on the rough side)

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Air will become turbulent around a thrown ball on the rough side of the ball because it will cause the air waves to be irregular. Option B is the right answer.

When an object is moving in air, it moves smoothly if the shape is streamlined and the body of the object is smooth.

An object will experience turbulence when the air waves are violent and are irregular.

Therefore, air will become turbulent around a thrown ball on the rough side of the ball because it will cause the air waves to be irregular.

The correct answer is option B.

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The dominant mechanism by which high-mass stars generate energy on the main sequence is called (d) the CNO cycle.

The CNO cycle, or the carbon-nitrogen-oxygen cycle, is a nuclear fusion process that occurs in the cores of high-mass stars. It involves the conversion of hydrogen into helium through a series of nuclear reactions mediated by carbon, nitrogen, and oxygen isotopes.

In the CNO cycle, carbon, nitrogen, and oxygen act as catalysts to facilitate the fusion of protons (hydrogen nuclei) into helium nuclei. This process releases a tremendous amount of energy in the form of gamma rays. The energy released powers the star and enables it to maintain its stability and luminosity on the main sequence.

The CNO cycle is more efficient than the proton-proton chain (option a) in high-mass stars due to their higher core temperatures. The proton-proton chain is the dominant energy generation mechanism in lower-mass stars like the Sun.

The carbon-carbon reaction (option b) and the triple-alpha process (option c) play significant roles in later stages of stellar evolution but are not the primary mechanisms for energy generation in high-mass stars. Neutrino cooling (option e) is not directly related to energy generation but is a process by which energy is lost from the star through the emission of neutrinos.

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Answer:

Option A is correct.

Explanation:

In the given triangle , x is the base and 14 is the hypotenuse for angle 33°.

cos 33 = base / hypotenuse

Putting the given values

cos 33 = x / 14

.84 = x / 14

x = .84 x 14

= 11.7

Option A is correct.

Answer:

We have the position vector given in terms of time t. r(t) = t^3*i + t^2*j

To find the velocity vector we have to differentiate r(t) with respect to time.

r'(t) = 3t^2*i + 2t*j

The vector representing acceleration is the derivative of the position vector

r''(t) = 6t*i + 2*j

When time t = 2.

The velocity vector is 3*2^2*i + 2*2*j

=> 12*i + 4*j

The speed is the absolute value of the velocity vector or sqrt(12^2 + 4^2) = sqrt (144 + 16) = sqrt 160

The acceleration vector is 6*2*i + 2*j

=> 12*i + 2*j

The required acceleration at t=2 is 12*i + 2*j and the speed is sqrt 160.

Explanation:

Can I have thx and brainliest?

We have that the electric field at the center of the metal ball due only to the charges on the surface of the metal ball is

\(E=7*10^{9}N/C\)

From the question we are told that

A solid metal ball of radius 1.5 cm

bearing a charge of -15 nC is located near a hollow plastic ball of radius 1.9 cm bearing

uniformly distributed charge of -7 nC

The distance between the centers of the balls is 9 cm

Generally the equation for the electric field  is mathematically given as

\(E=\frac{kq_2}{d^2}\\\\E=\frac{(9*10^9)7*10^{-2}}{9*10^{-2}}\\\\\)

\(E=7*10^{9}N/C\)

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Answer:D

Explanation:

Because u have to make observation then ask a question

Answer:

cellular respiration

Explanation:

Answer:

Explanation:

The higher the object is relative to some defined baseline (like the ground), the greater the potential energy.

Potential Energy = U = mgh

U is directly proportional to h (height of the object), so the greater the h the greater the U.

A particle moves along the x-axis so that its velocity and the position function of the particle is: x(t) = -(cos(t²/2)(t²/2 + 2) - sin(t²/2)) + C

∫v(t)dt = ∫-(t+1)sin(t²/2)dt

We can use integration by substitution. Let u = t²/2, then du/dt = t. Substituting in the integral, we get:

∫-(t+1)sin(t²/2)dt = -∫(u+2)sin(u) du/t

= -(cos(u)(u+2) - ∫cos(u) du) + C

= -(cos(t²/2)(t²/2 + 2) - sin(t²/2)) + C

Therefore, the position function of the particle is:

x(t) = -(cos(t²/2)(t²/2 + 2) - sin(t²/2)) + C

Velocity is a physical concept that describes the rate at which an object changes its position over time. It is a vector quantity that has both magnitude and direction. The magnitude of velocity is the speed at which an object is moving, while the direction of velocity is the direction in which the object is moving.

Velocity can be calculated using the formula v = Δx/Δt, where v is the velocity, Δx is the change in position, and Δt is the change in time. This formula is used to measure the average velocity of an object over a certain period of time. Velocity is an important concept in physics because it is used to describe the motion of objects in various situations. It is used to calculate the trajectory of objects in motion, the speed at which they move, and the distance they cover in a given time.

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As the air is compressed, the work done on the air causes its temperature to increase.

What is Thermodynamic Process?

A thermodynamic process is a physical change that occurs in a system as it exchanges heat and/or work with its surroundings. It involves a change in one or more thermodynamic variables, such as temperature, pressure, volume, or entropy. There are four main types of thermodynamic processes: isothermal, adiabatic, isobaric, and isochoric.

When we blow air with our mouth narrow open, we feel the air cool because of the adiabatic expansion of the air. Adiabatic expansion is a thermodynamic process in which the air expands rapidly without losing or gaining any heat to or from the surroundings. As the air expands, it does work against the pressure of the surrounding atmosphere, and this work causes the temperature of the air to decrease. This is known as the Joule-Thomson effect.

On the other hand, when the mouth is made wide open, we feel the air warm because of the adiabatic compression of the air. Adiabatic compression is a thermodynamic process in which the air is compressed rapidly without losing or gaining any heat to or from the surroundings.

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The main cause of the difference in temperature on a daily basis is because of the water surrounding the Florida.

The average thermal energy of the particles in a substance is measured by its temperature. It is a way to express how hot or cold an object is in relation to a reference point, typically a standard temperature scale like Celsius or Fahrenheit. It reflects the heat content of a body.

Florida's proximity to huge bodies of water, which have a moderate impact on the temperature, is mostly to blame for the difference in temperature swings between Florida and a dry desert climate. The water steadily absorbs heat and releases it, lowering temperature swings and fostering a more stable atmosphere. Florida also has a lower altitude than most other states, which helps to stabilize its temperature. Temperatures in Florida are kept warmer in part by the state's increasing sunshine. The larger temperature variations in the desert may also be a result of the shorter daylight hours, as the daytime temperatures can get quite hot and the overnight temperatures can go very low.

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Physical weathering refers to the breakdown of rocks and minerals on the Earth's surface without any change in their chemical composition. In conclusion, the option that represents physical weathering is "Flowing water carves erosion channels in a hillside."

Let's analyze each option to determine which one represents physical weathering:

1. Acid rain corrodes a monument: This is an example of chemical weathering, not physical weathering. Acid rain contains acidic substances that react with the minerals in the monument, causing them to dissolve or corrode over time.

2. Stalactites precipitate in a cave: This is an example of chemical weathering. Stalactites form when water containing dissolved minerals seeps into a cave and the minerals precipitate out of the water, gradually building up and forming icicle-like structures.

3. Flowing water carves erosion channels in a hillside: This is an example of physical weathering. As water flows over a hillside, it exerts force on the rocks and minerals, causing them to break apart and erode. Over time, this process creates erosion channels or valleys.

4. Calcium carbonate in limestone changes to calcium hydrogen carbonate: This is an example of chemical weathering, not physical weathering.

When carbon dioxide from the air dissolves in rainwater, it forms a weak acid that reacts with calcium carbonate in limestone, leading to its dissolution and the formation of calcium hydrogen carbonate.

In conclusion, the option that represents physical weathering is "Flowing water carves erosion channels in a hillside." Physical weathering involves the mechanical breakdown of rocks and minerals without any change in their chemical composition.

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Answer:

Hope this helps :)

Thanxx :)

A. The distance between the slits is approximately 3.21 × \(10^{-6}\) m.

B. The wavelength of the second source of light is approximately 4.48 × \(10^{-7}\) m.

Part A:

To find the distance between the slits (d), we can use the formula for the interference pattern:

d * sin(θ) = m * λ

Where:

d is the distance between the slits

θ is the angle between the line perpendicular to the slits and the direction of the bright band

m is the order of the bright band (m = 1, 2, 3, ...)

λ is the wavelength of the light

In this case, we know that adjacent bright bands are 2.2 cm apart, which can be converted to meters by dividing by 100:

2.2 cm = 0.022 m

We can consider the first-order (m = 1) bright band. The angle θ can be approximated as the tangent of the angle:

θ ≈ tan(θ) = opposite/adjacent = 0.022 m / 4.5 m

Now we can rearrange the formula to solve for d:

d = (m * λ) / sin(θ)

Using the values we have:

d = (1 * 5.6 × \(10^{-7}\) m) / sin(0.022 m / 4.5 m)

Calculating this expression:

d ≈ 3.21  × \(10^{-6}\) m

Therefore, the distance between the slits is approximately 3.21  × \(10^{-6}\) m.

Part B:

For the second source of light, we know that the fifth-order minimum (m = 5) occurs at the same point on the screen as the fourth-order minimum (m = 4) for the previous light. Let's assume the wavelength of the second source of light is λ'.

We can set up the following equation using the formula for interference patterns:

d * sin(θ) = m * λ'

For the fourth-order minimum, we have:

d * sin(θ) = 4 * λ

And for the fifth-order minimum, we have:

d * sin(θ) = 5 * λ'

Since both minima occur at the same point on the screen, the values of sin(θ) and d are the same for both equations. Therefore, we can equate the right sides of the equations:

4 * λ = 5 * λ'

To find λ', we can rearrange the equation:

λ' = (4 * λ) / 5

Substituting the known value for λ:

λ' = (4 * 5.6 × \(10^{-7}\) m) / 5

Calculating this expression:

λ' = 4.48 × \(10^{-7}\) m

Therefore, the wavelength of the second source of light is approximately 4.48 × \(10^{-7}\) m.

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