A solid 66 kg cylinder has a radius of 0.10 m. What minimum work is required to get the cylinder rolling without slipping at a rotational speed of 20 s−1?

To identify the intervals where the acceleration is positive, we need to examine the slope of the position-time graph since the slope represents the velocity, and the change in velocity over time gives us the acceleration.

Velocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second. Velocity or speed: the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed ​​or velocity is the quotient of the displacement with the time interval. Speed ​​or velocity is a vector quantity.

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Answer:

La velocidad con la que se debe lanzar el trineo es aproximadamente 9.96 m/s

Explanation:

La masa del trineo, m = 2 kg

El ángulo de inclinación del trineo, θ = 30 °

El coeficiente de fricción, μ = 0,15

La altura a la que debe ascender el trineo, h = 4 m

La reacción normal del trineo en la rampa, N = m · g · cos (θ)

La fuerza de fricción \(F_f\) = N × μ

Dónde;

g = Th aceleración debida a la gravedad ≈ 9.81 m/s²

∴ \(F_f\)  = 0.15 × 2 kg × 9.81 m/s² × cos (30°) ≈ 2.55 N

La longitud de la rampa que se mueve el trineo, l = h/(sin(θ))

∴ l = 4/(sin(30°)) = 8

La longitud de la rampa que se mueve el trineo, l = 8 m

El trabajo realizado sobre la fricción, \(W_f\) = \(F_f\) × l

\(W_f\) = 2.55 × 8 ≈ 20.4

El trabajo realizado sobre la fricción, \(W_f\) ≈ 20.4 Julios

El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. = m·g·h

∴ P.E. = 2 kg × 9.81 m/s² × 4 m ≈ 78.48 Joules

El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. ≈ 78.48 Joules

El trabajo total requerido para levantar el trineo 4 metros por la rampa, \(W_t\) = \(W_f\) + P.E.

\(W_t\) = 20.4 J + 78.84 J ≈ 99.24 J

Energía cinética, K.E. = 1/2 × m × v²

La energía cinética necesaria para mover el trineo por la rampa, K.E. se da de la siguiente manera;

K.E. = 1/2 × 2 kg × v² ≈ 99.24 J

∴ v² ≈ 99.24 J/(1/2 × 2 kg)

La velocidad con la que se debe lanzar el trineo para que ascienda 4 metros por la rampa, v ≈ 9.96 m/s

The person who would have more kinetic energy between the man and the son, would be the man.

The man and the boy can have the same kinetic energy if the son was running faster than his father.

Since the man has a greater mass than his son and they are running at the same speed, the man will have more kinetic energy. This is because the kinetic energy is directly proportional to the mass when the velocity is constant.

For them to have the same kinetic, the son would have to run at a higher speed than the man, so that the product of 0.5 * mass * speed^2 is equal for both of them. In other words, the smaller mass of the son would need to be compensated for by a higher velocity (speed), resulting in equal kinetic energy.

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Giants gaseous exoplanets nearer to their stars are often called as hot Jupiters.

Jupiter or Saturn in our solar system are gas giants. They are composed mostly of helium or hydrogen gases. Gas giants exoplanets nearer to their stars are often called as hot Jupiters. There are many categories into this. Exoplanets are massive planets that orbit very close to their parent stars. "Hot Jupiters" are discovered by astronomer and they were surprised because theories of planetary formation had indicated that giant planets should only form at large distances from stars. Proxima Centauri sometimes referred to as Alpha Centauri, is an exoplanet orbiting in the zone of the red dwarf star Proxima Centauri (it is the closest star to the Sun). Gas giants are also referred to as failed stars.

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In a a camera equipped with a 55-mm-focal-length lens, what is the object distance if the image height equals the object height.The object is effectively located at an infinite distance from the camera lens.

To determine the object distance in this scenario, where the image height equals the object height, we can use the lens formula:

1/f = 1/d_o + 1/d_i

Where:

f is the focal length of the lens,

d_o is the object distance,

and d_i is the image distance.

Given that the focal length (f) is 55 mm, and the image height (h_i) equals the object height (h_o), we can assume that the image distance (d_i) is equal to the focal length (f) due to the nature of the scenario.

Substituting the known values into the lens formula, we have:

1/55 = 1/d_o + 1/55

Simplifying the equation, we get:

1/d_o = 1/55 - 1/55

1/d_o = 0

Since the equation results in 0, it implies that the object distance (d_o) is at infinity in this scenario. The object is effectively located at an infinite distance from the camera lens.

As for the distance between the object and the image on the film, it is not possible to determine it precisely without additional information, such as the specific type of camera and the positioning of the film plane relative to the lens. However, in typical camera setups, the image on the film is formed when the object is located at the focal point of the lens or at a significant distance from the lens, resulting in a sharp image on the film plane.

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To use a capacitor to light a bulb, you would need a capacitor, a resistor, a diode, and a light bulb. The capacitor would need to be charged to a high voltage using a power supply.

When the capacitor is charged, it stores electrical energy, which can be released through the resistor and diode to power the light bulb. The resistor controls flow of current to bulb, and the diode ensures that current flows in only one direction. When the capacitor is discharged, the process can be repeated to light the bulb again. This system is known as a capacitor discharge lamp and is commonly used in emergency lighting and other applications where a reliable source of light is required.

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wZAnswer:d

Explanation:

efwdx

Parallax is a valuable technique used in astronomy to measure the distances of nearby celestial objects accurately. It relies on the apparent shift in an object's position when viewed from different locations on Earth's orbit and utilizes trigonometry to calculate the distance to the object.

Parallax is the apparent shift or change in the position of an object when viewed from different perspectives. This effect occurs when an observer changes their viewing angle. In astronomy, parallax is used to measure the distances of stars, planets, and other celestial objects.

The principle behind parallax is simple: Observers on Earth have slightly different views of a nearby object compared to a distant one, due to the difference in the observer's location on the planet. By measuring the apparent shift in the position of an object when viewed from two different points (such as two different locations on Earth), astronomers can calculate the object's distance.

The baseline used for measuring the parallax is the distance between the two observing points. In the case of celestial objects, the baseline is the distance between two points on the Earth's orbit, which are six months apart. This is because the Earth's position is significantly different after half a year due to its revolution around the Sun.

To measure parallax accurately, astronomers use specialized instruments like telescopes and cameras to observe the position of stars or other celestial objects at different times of the year. By comparing the apparent shifts in the object's position, they can determine the parallax angle. Using trigonometry, they can then calculate the distance to the object.

The formula used to calculate the distance to the object is:

Distance (in parsecs) = 1 / Parallax (in arcseconds)

That 1 parsec is approximately equal to 3.26 light-years.

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The altimeter records a lesser than actual altitude when  the temperature is colder than standard.

The term altitude refers to  given height above sea level. Usually a device called an altimeter is used to measure the altitude.

Sometimes, the altimeter may record a value that is less than the actual value of the altitude because  the temperature is colder than standard.

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Answer:

\(\frac{a}{b}=c\) which agrees with the third answer in your list of answer options

Explanation:

Start with:

\(a=b\,*\,c\)

divide both sides by b to isolate c on the right:

\(\frac{a}{b} =\frac{b\,*\,c}{b} \\\frac{a}{b} =c\)

Answer:

Explanation:

Given:

U =12 V

E = 60 J

________

q - ?

E = U·I·t

q = I·t

E = U·q

q = E / U = 60 / 12 = 5 С

Answer:

what do you mean

Explanation:

The -ve charges in the top left, and lower left and right corners of the square, indicates, based on the relationship between the +ve and -ve charges, that the net force on the positive charge is in the direction;

d) 6

An electric charge is a material property that enables the material to be acted on by the force of an electric field.

The charges on the vertices of the square are;

Charge on the top left corner = -q

Top right corner = +q

Lower right corner = -q

Lower left corner = -q

Like charges repel and unlike charges attract. The net electric force on a charge, can be found using the formula;

\(F = \frac{k\cdot q_1 \cdot q_2}{R^2}\)

Therefore, the attractive force due to the -ve charge on the top left corner is to the left indicated by the arrow 5

The attractive force due to the -ve charge in the lower right is in the direction of the arrow 1, while the attractive force due to the -ve charge in the lower left is in the direction of the arrow 6

The resultant force due to the force represented by arrows numbered 5 and 1 is also in the direction of the arrow 6, which indicates that the net force on the positive charge is in the direction of the arrow 6. The correct option is therefore;

d) 6

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Answer:What is the acceleration of a car that moves from rest to 15.0 m/s in 10.0 s? Vi=0, vf= 15.0 m/s,t=10.0s, a=? a= vf =vi/tA=15.0m/s-0m/s/10.0s = 15.0s/10.0s m/s*1/s =1.50 m/s^2 11.

Explanation:

The sum of the formal charges of the atoms in a molecule or polyatomic ion must equal the overall charge of the species. Formal charge is a way of keeping track of the distribution of electrons in a molecule or ion.

It is calculated by subtracting the number of electrons assigned to an atom in a molecule from the number of valence electrons of that atom in the neutral state. For a neutral molecule, the sum of the formal charges of all the atoms should be zero. For a polyatomic ion with a positive or negative charge, the sum of the formal charges of all the atoms should be equal to the overall charge of the ion. This is a useful tool for determining the most likely arrangement of atoms in a molecule or ion, and for predicting the polarity of a molecule.

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The service disconnecting switch for an installation consisting of a limited load on a single branch circuit should have a rating of not less than 15 ampere.

A service disconnecting switch is a device which disconnects all the conductors of the system from the main source of supply. The limitation of current is due to the high heat produce. As heat in a conductor is a function of current. Like: H = i²Rt

Where I is the current, R is the resistance of the device, and t is the time of current flow. We can see by the formula that heat is directly proportional to the square of the current. More is the current more will be the heat produced.

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The solar energy that falls on the house each second is 20,000 W.

The rate at which the solar energy falls on the house is the amount of solar power that is transfer to the house.

Mathematically, the relationship between power and energy is given as;

P = E/t

where;

Power is the rate at which energy is transfer in a given time period.

The area of the house is calculated as follows;

A = length x width

A = 10 m x 10 m

A = 100 m²

1 m² = 200 W

100 m² = ?

= 100 x 200 W

= 20,000 W

Thus, the solar energy that falls on the house each second increases with increase in the area of the house as shown in the calculation above.

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Answer:

See below

Explanation:

acceleration = change in velocity / change in time

  Or      F = m * a

      So the first one   Accel = 40 m/s / 20 s = 2 m/s^2

   Or    100 N = 50 * a     A = 2 m/s^2       Same answer two different ways...

The others are similar ......

Explanation:

divide the distance by the time it takes to travel that same distance, then add your direction to it.

Or change in displacement divided by change in time.

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2200 × 2.9

We have the final answer as

Hope this helps you

The thermal energy released when the pan is cooling down with a mass of aluminum is 500 grams and the specific heat capacity is 900J/Kg°C is 83.4 kJ.

Thermal energy is the energy generated by the heat. Thermal energy depends on the mass of the substance, specific heat capacity, and temperature change. The unit of thermal energy is the joule(J).

From the given,

mass of the aluminium pan (m) = 500g = 0.5kg

Specific heat capacity (C) = 900J/kg°C

Temperature initial(T₁) = 204°C

Temperature final (T₂) = 21°C

Change in temperature (ΔT) = T₁ - T₂ = 204 - 21 = 183°C

Thermal energy (Q) = m×C×ΔT

                                = 0.5×900×183

                                =82350J

Thus, the thermal energy released when the pan is cooling down is Q=82.4J.

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Answer:

D. ) The force would be zero newtons

Explanation:

Because

If you are at the center of the earth, gravity is zero because all the mass around you is pulling "up" (every direction there is up!)

So F=mg so if g is zero F is also zero

The soil loss in  \(Mg ha^{-1}\) (Ton/ha) if the bulk density of the soil is 1.01  \(Mg m^{-3}\)  is option a. 0.202 Mg/ha.

For expressing the soil loss in \(Mg ha^{-1}\), need to convert the units appropriately. First, convert the soil loss from millimetres (mm) to meters (m) by dividing it by 1,000 (1 mm = 0.001 m). Thus, the soil loss is 0.0002 m.

Next, calculate the volume of soil lost per unit area (ha). The volume can be obtained by multiplying the soil loss (0.0002 m) by the area (ha). Since the bulk density of the soil is given as 1.01 \(Mg m^{-3}\), can convert the volume to mass by multiplying it by the bulk density.

Using the formula:

Soil loss (Mg ha-1) = Soil loss (m) × Bulk density (\(Mg m^{-3}\)) × Area (ha)

Substituting the values:

Soil loss (\(Mg ha-1\)) = 0.0002 m × 1.01 \(Mg m^{-3}\) × 1 ha

Calculating the result:

Soil loss (\(Mg ha-1\)) = 0.0002 × 1.01 = 0.000202 \(Mg ha-1\)

Therefore, the correct answer is option a. 0.202 Mg/ha.

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Answer:

im means into

e means out of

Explanation:

Using the definitions of immigration and emigration as points of reference, the following explanation applies.

Both terms are derived from migration which means moving from one place to another.

By further explanation:

The "im" in the definition of immigration means "into" while the "e" in the definition of emigration means "out of"

The speed of the water at the lower level is 2.5 m/s. As we can see, the decrease in speed is due to the increase in cross-sectional area of the pipe, which allows the water to flow more slowly.

To solve this problem, we can use the principle of conservation of mass, which states that the mass of a fluid flowing through a pipe must remain constant. This means that the product of the cross-sectional area and the speed of the water must be constant throughout the pipe.
Let's denote the speed of the water at the lower level as v2. We can use the formula for the conservation of mass to find v2:
A1v1 = A2v2
Where A1 and v1 are the cross-sectional area and speed of the water at the higher level, and A2 is the cross-sectional area at the lower level.
Substituting the given values, we get:
(4.0 cm^2)(5.0 m/s) = (8.0 cm^2)(v2)
Simplifying, we get:
v2 = (4.0 cm^2)(5.0 m/s) / (8.0 cm^2) = 2.5 m/s
Therefore, the speed of the water at the lower level is 2.5 m/s. As we can see, the decrease in speed is due to the increase in cross-sectional area of the pipe, which allows the water to flow more slowly.

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(A) The pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.
(B) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow

(a) The pressure transients at the mid-point of the pipeline can be calculated using the water hammer equation. Water hammer refers to the sudden changes in pressure and flow rate that occur when there are rapid variations in fluid flow. The equation is given by:

ΔP = (ρ × ΔV × c) / A

Where:

ΔP = Pressure change

ρ = Density of water

ΔV = Change in velocity

c = Wave speed

A = Cross-sectional area of the pipe

First, let's calculate the change in velocity:

ΔV = Q / A

Q = Flow rate = 0.12 m/s

A = π × ((d/2)^2 - ((d-2t)/2)^2)

d = Internal diameter of the pipe = 300 mm = 0.3 m

t = Pipe wall thickness = 5 mm = 0.005 m

Substituting the values:

A = π × ((0.3/2)^2 - ((0.3-2(0.005))/2)^2

A = π × (0.15^2 - 0.1495^2) = 0.0707 m^2

ΔV = 0.12 / 0.0707 = 1.696 m/s

Next, let's calculate the wave speed:

c = √(E / ρ)

E = Young's modulus of steel = 210x10^9 Pa

ρ = Density of water = 1000 kg/m^3

c = √(210x10^9 / 1000) = 4585.9 m/s

Finally, substituting the values into the water hammer equation:

ΔP = (1000 × 1.696 × 4585.9) / 0.0707 = 1,208,277 Pa

Therefore, the pressure transients at the mid-point of the pipeline are approximately 1,208,277 Pa.

(b) Friction in the pipeline affects the calculated pressure transients by increasing the overall resistance to flow. As water moves through the pipe, it encounters frictional forces between the water and the pipe wall. This friction causes a pressure drop along the length of the pipeline.

The presence of friction results in a higher effective wave speed, which affects the calculation of pressure transients. The actual wave speed in the presence of friction can be higher than the wave speed calculated using the Young's modulus of steel alone. This higher effective wave speed leads to a reduced pressure rise during the transient event.

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Answer:

Loyalty-Being loyal is important to being a good citizen because it shows that you acknowledge the effort others have put in to what you are doing and it shows that you enjoy what you are doing. Loyalty is important to a productive community because it promotes good work and effort

Explanation:

Answer:

60 Ns

Explanation:

change in momentum = Fxt

6*10

60 Ns

A force of 6.0 N acts on a 4.0 Kg object for 10.0 s. The object's change in momentum is 60 kg-m/sec.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

change in momentum = force . time

change in momentum = 6 . 10 = 60

A force of 6.0 N acts on a 4.0 Kg object for 10.0 s. The object's change in momentum is 60 kg-m/sec.

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The main difference between eddies in physical space and wave numbers in spectral space is that eddies are physical phenomena, while wave numbers are mathematical representations.

Eddies in physical space are circular or swirling movements of fluid that occur within a larger flow of fluid.

These eddies are typically caused by the interaction of different fluid layers or the presence of obstacles within the fluid flow. Eddies can occur in a variety of different sizes, from small, localized eddies to larger, more widespread ones. In contrast, wave numbers in spectral space are a mathematical representation of the frequency or wavelength of a wave.

The wave number is typically represented by the symbol "k" and is defined as the inverse of the wavelength of the wave. The wave number is used to describe the spatial variation of a wave in space and is a key parameter in the analysis of waves in spectral space.

In summary, eddies are physical phenomena that occur within fluid flows, while wave numbers are mathematical representations of the frequency or wavelength of a wave in spectral space. Both eddies and wave numbers are important concepts in the study of fluid dynamics and wave mechanics.

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