a frictionless, solid disk pulley has a mass of 7.07 kg, a radius of 66.0 cm, and is free to rotate vertically about an axle. a rope is wrapped around the disk, a 1.53 kg mass is attached to the end of the rope, and the mass is allowed to fall vertically. what is the angular acceleration of the pulley?

Answer:

Explanation:

velocity is the change in displacement of a body with respect to time. Given the displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t², where t is the time in seconds, instantaneous velocity is expressed by differentiating the displacement with respect to time

Velocity = dd/dt

Velocity = -0.65 + 2(0.21)t²⁻¹

Velocity = -0.65 + 0.42t

The instantaneous velocity of the block when t = 2.0 s can be gotten by substituting t = 2.0s into the expression above:

Velocity = -0.65 + 0.42(2)

Velocity = -0.65 + 0.84

Velocity = 0.19

Hence the instantaneous velocity of the block when t = 2.0 s is 0.19m/s

The axial resistance of an axon is calculated using the formula R = ρL/A, where ρ is the resistivity, L is the length, and A is the cross-sectional area. In this case, the axial resistance is 11.28 MΩ.

The resistance along the axon is calculated using the following formula:

R = ρL/A

where:

R is the resistance in ohms

ρ is the resistivity in ohms per meter

L is the length in meters

A is the cross-sectional area in meters squared

In this case, we have:

ρ = 1.6 x 107 Ω.m

L = 0.5 mm = 0.0005 m

A = πr² = π(5 x 10-6)² = 7.854 x 10-13 m²

Therefore, the resistance is:

R = ρL/A = (1.6 x 107 Ω.m)(0.0005 m) / (7.854 x 10-13 m²) = 11.28 MΩ

Therefore, the axial resistance of the axon is 11.28 MΩ.

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The function x(t) will approach zero as t increases, and as it does so, it will cross the origin at most once. Therefore, an overdamped or critically damped oscillator can cross the origin at most once.

An overdamped or critically damped oscillator can cross the origin at most once. Here's how you can show that: The differential equation for an oscillator system of mass m is given as;

$$m \frac{d^2x}{dt^2} + b\frac{dx}{dt} + kx = 0$$

where m, b, and k are constants, and x represents the displacement of the oscillator from its equilibrium position.

The solution to this equation can be obtained by assuming that the displacement is proportional to the function e^(rt), where r is a constant.

Substituting this into the differential equation yields the characteristic equation of the form;

$$mr^2 + br + k = 0$$

The roots of the characteristic equation are;

$$r = \frac{-b \pm \sqrt{b^2 - 4mk}}{2m}$$

The roots of the characteristic equation determine the nature of the system's oscillation. If the roots are complex conjugates, the system is said to be underdamped, whereas if the roots are real and distinct, the system is said to be overdamped, and if the roots are real and equal, the system is said to be critically damped. In the case of an overdamped or critically damped oscillator, the roots of the characteristic equation are real and distinct or real and equal, respectively.

Suppose the system's displacement starts at a nonzero position and at rest. The displacement will then decrease to zero, and as it does so, it will cross the origin at most once.

This is because the solution of the differential equation is of the form;

$$x(t) = c_1e^{r_1t} + c_2e^{r_2t}$$

where c1 and c2 are constants, and r1 and r2 are the roots of the characteristic equation.

In the case of an overdamped or critically damped oscillator, the roots are both negative and distinct or negative and equal.

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Answer:

Total momentum = 16 Kgm/s

Explanation:

Let the momentum of the two balls be A and B respectively.

Momentum A = 16 kgm/s

Momentum B = 0 kgm/s (since the ball is at rest).

Total momentum = A + B

Total momentum = 16 + 0

Total momentum = 16 Kgm/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

\( Momentum = mass * velocity \)

Total momentum of both the balls after the collision is 16 Kg.m/s

Given:

Momentum= 16 kg.m/s

To find:

Total momentum of both the balls after the collision.

What is momentum?

 Consider the momentum of the two balls be A and B respectively.

Momentum A = 16 kg.m/s

Momentum B = 0 kg.m/s (since the ball is at rest).

Total momentum = A + B

⇒ 16 + 0

Total momentum= 16 kg.m/s

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Ede vech 7 bends aa ess krke 7 carbon aa jai Carbon de jada koi hor laga hove tah oh lekna Carbon de jagha

Explanation:

In celestial mechanics, escape velocity or escape speed is the minimum speed needed for a free, non-propelled object to escape from the gravitational influence of a primary body, thus reaching an infinite distance from it. It is typically stated as an ideal speed, ignoring atmospheric friction.

I hope you help :)

Answer:

The object will travel at the speed of 16 m/s.

Explanation:

Given

To determine

How fast is the object traveling?

Important Tip:

The product of the mass and velocity of an object —  momentum.

Using the formula

\(p = mv\)

where

Thus, in order to determine the speed of the object, all we need to do is to substitute p = 64 and m = 4 in the formula

\(p = mv\)

\(64\:=\:4\times v\)

switch the equation

\(\:4\times \:v\:=64\)

divide both sides by 4

\(\frac{4v}{4}=\frac{64}{4}\)

simplify

\(v=16\) m/s

Therefore, the object will travel at the speed of 16 m/s.

Answer:

As atoms in the spoon vibrates about their equilibrium positions and transfer energy form one end to other end. This process is called conduction.

Answer:

The degree of reflection whether faint or bright you see on the surface of an object is an indication that light particles had hit the surface. Since light is a wave and as part of its characteristics can get reflected. However, the amount of light reflected by a surface is dependent on the smoothness of the surface which can be shiny or dull, it can also be dependent on the nature of the surface which can be glass, water, and so on. So, from the question, you can see a faint reflection on the surface of a shiny plate or cup because of the smoothness of the surface which reflects the lights that hit it from a particular direction at the same angle.

Answer:

B

Explanation:

just took the test

Answer:

b

Explanation:

When loading a trailer, more than half the weight should be placed in the back half of the trailer. The given statement is false.

When loading a trailer, more than half of the weight should actually be placed in the front half of the trailer, not the back half. This helps to maintain stability and control while towing the trailer.

Ideally, 60% of the weight should be placed towards the front half, with the remaining 40% distributed towards the back half.
In order to ensure proper weight distribution and trailer stability, it is essential to place more than half of the load weight in the front half of the trailer, rather than the back half.

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Answer:

Explanation:

mass, m = 500 kg

initial velocity, u = 36 km/h = 10 m/s

final velocity, v = 0

distance, s = 40 m

\(v^{2} = u^{2} + 2as\)

\(0^{2} = 10 ^{2} +\) 2 × a × 40

0 = 100 + 80 a

- 80a = 100 - 0

-80a = 100

a = -100 / 80

a = -1.25 m/\(s^{2}\)

force, f = ?

mass = 500 kg

acceleration = -1.25 m/s^2

f = ma

= 500 × -1.25

= -625 N

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Answer:

stars #3

Explanation:

they didn't know it was stars

Higher Power Efficiency  and Eliminates Risk of Compressor Breakdown

Answer:

Change in force = 1.66 × 10⁵ N

Explanation:

Given:

Initial pressure = 837 mmHg

Final pressure = 842 mmHg

Rectangle (10 m ⨯ 25 m)

Find:

Change in force

Computation:

Change in force = (Change in pressure)(Area)(133 pa / 1 mmHg)

Change in force = (842 - 837)(10 m ⨯ 25 m)(133 pa / 1 mmHg)

Change in force = (166,250)

Change in force = 1.66 × 10⁵ N

The normal force acting on a 77.3-kg man is traveling upward in an elevator at a constant velocity of 9.9 m/s is 757.54 N

∑ Fy = m a

Fn - Fg = m a

Fg = m g

Fg = Force of gravity

m = Mass

g = Acceleration due to gravity  

Fn = Normal force

m = 77.3 kg

g = 9.8 m / s²

Fg = 77.3 * 9.8

Fg = 757.54 N

Since velocity is constant, a = 0

Fn - Fg = 0

Fn = Fg

Fn = 757.54 N

Therefore, the normal force acting on him is 757.54 N

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Answer:

C. 4.0 J

Explanation:

Work is equal to the change in kinetic energy or kinetic energy final - kinetic energy initial. 1/2 mv^2 is the equation for kinetic energy. SInce the mass is the same, you don't have to include it when solving. 1/2 times 1^2 = 1/2. 1/2 times 3^2 = 4.5. 4.5 - 0.5 = 4 J

The event that took place during the Copernican revolution, when most people started to believe in a heliocentric model of the solar system is B. Copernicus rediscovered Aristarchus's heliocentric model.

Aristarchus of Samos is renowned for his heliocentric world model, which supersedes the geocentric concept in which the earth is the center of the universe and rotates around the sun.

Ancient Greek astronomer and mathematician Aristarchus of Samos proposed the first known heliocentric model, which put the Sun at the center of the known universe and assumed that the Earth revolved once a day around the Sun and once a year around its axis.

Therefore, option B is correct.

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missing options:

A. Aristotle developed his model of the solar system.

B. Copernicus rediscovered Aristarchus's heliocentric model.

C.Kepler's laws of planetary motion.

D.Newton's theories of gravity were dismissed and considered invalid.

Lewis structure is a type of representation which is used to show the valency and outermost orbital configuration of an atom.

Lewis structures are also known as Lewis dot formulas or Lewis dot structures. These are the diagrams which show the bonding between atoms of a molecule, as well as the lone pairs of the electrons which may exist in the molecule. A Lewis structure can be drawn for any kind of covalently bonded molecules, as well as coordination compounds.

The Lewis structure was named after Gilbert N. Lewis, who was known to introduced it in his 1916 article "The Atom and the Molecule". The Lewis structure of barium and helium has two dots which denotes two electrons or its valency, the structure of aluminium shows three dots as its valency, argon shows 8 electrons which is a noble gas and has zero valency.

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Answer:

Wavelength.

Explanation:

1 period, or wavelength, is measured from one crest to another or from one trough to another.

Answer:

T = 51.25°C

Explanation:

Applying the law of conservation of energy, we get:

where,

m₁ = mass of cold water = 175 g

m₂ = mass of hot water = 125 g

T = Final temperature of the mixture = ?

Therefore,

\((175\ g)(T-20^oC) = (125\ g)(95^oC-T)\\\\T-20^oC = (0.7143)(95^oC-T)\\\\T(1+0.7143) = 20^oC+67.86^oC\\\\T = \frac{87.86^oC}{1.7143}\)

T = 51.25°C

Answer:

first

Explanation:

Newton's Newton's first law of motion states that for every action and there's an equal and opposite reaction

Answer:

D. Third

Explanation:

Thomas Edison invented the first incandescent light bulb and, at one point, had a monopoly on the electrical power delivery. Correct option is 3.

Thomas Edison was an American inventor and businessman who is best known for his development of the incandescent light bulb. He began working on the light bulb in 1878 and by 1879, he had developed a bulb that could burn for several hours. Edison went on to improve the design of the bulb and also developed a system for delivering electrical power to homes and businesses, which he called the Edison Electric Light Company.

At its height, the Edison Electric Light Company held a monopoly on the electrical power delivery industry, which allowed Edison to control the distribution of electrical power to homes and businesses. This monopoly lasted for several years until the arrival of competitors, such as George Westinghouse, who developed an alternative system for delivering electrical power.

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The most precise pipettor cannot be determined solely based on tables, as precision is determined by multiple parameters and depends on the specific experiment being performed.

To determine the most precise pipettor, one would need to look at the average, standard deviation, and coefficient of variation of the results obtained with each pipettor, as well as any systematic biases that might have affected the results.

Precision is a measure of the reproducibility or repeatability of a measurement, and is an important characteristic of laboratory equipment such as pipettors.

To determine the most precise pipettor, multiple parameters need to be considered, including the average, standard deviation, and coefficient of variation of the results obtained with each pipettor, as well as any systematic biases that might have affected the results.

The average is the mean or average value of the results obtained with each pipettor. The standard deviation is a measure of the variability or spread of the results, and is calculated as the square root of the variance. The coefficient of variation is a measure of the relative variability of the results and is calculated as the standard deviation divided by the mean.

The pipettor with the smallest standard deviation or coefficient of variation would be considered the most precise, as this would indicate that the results obtained with that pipettor are the most consistent and reproducible.

However, it is also important to consider any systematic biases that might have affected the results. For example, if one pipettor consistently gives results that are lower than expected, it may be considered less precise even if its standard deviation is smaller.

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When two objects are rubbed on their surfaces, one gets negatively charged. This polarization causes, the flow of electrons to the positive pole of another object is called the static electricity.

Static electricity is the flow of electrons that occurs due to the temporary polarization of two bodies. When a conducting surface rub on other surface, they gets electrons by frictional force.

These free flow of electrons make them negatively charged. When this negatively charged body comes in contact with a non conducting surface they latter gets polarized by the electrons of negatively charged body.

The positive charges of the nonconducting surface gets attracted to the negative body and the electrons flow from the negatively charged body to the partially polarized positive body. This is called static electricity.

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Answer:

A. Two small objects hsgsggahahahahahshgsgegwfw

The cold case current can be determined using the hot case current and the temperatures of the wire in the hot and cold cases, through the equation: I_cold = I_hot * (1 + α * (T_hot - T0)) / (1 + α * (T_cold - T0)).

The resistance of the wire is a function of its temperature, and can be expressed as,

R = R0 * (1 + α * (T - T0))

where R0 is the resistance of the wire at a reference temperature T0, α is the temperature coefficient of resistance, and T is the temperature of the wire.

Using Ohm's law and the expression for the resistance as a function of temperature,

V_hot = I * R_hot = I * R0 * (1 + α * (T_hot - T0))

V_cold = I * R_cold = I * R0 * (1 + α * (T_cold - T0))

where V_hot and V_cold are the potential differences across the wire in the hot and cold cases, respectively.

Since the potential difference across the wire is the same in the hot and cold cases, we can equate these expressions,

V_hot = V_cold

I * R0 * (1 + α * (T_hot - T0)) = I * R0 * (1 + α * (T_cold - T0))

Simplifying and solving for the cold case current I_cold,

I_cold = I_hot * (1 + α * (T_hot - T0)) / (1 + α * (T_cold - T0))

where I_hot is the current flowing through the wire in the hot case. This expression shows that the cold case current depends on the hot case current and the temperatures of the wire in the hot and cold cases.

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The head loss and pressure drop in a 10-m length of the pipe are 126 Pa.

To determine the head loss and pressure drop of glycerin flowing upward in a 75-mm-diameter pipe with a centerline velocity of 1.0 m/s, we can use the Darcy-Weisbach equation:
ΔP = f (L/D) (ρV^2/2)
Where:
ΔP = pressure drop
f = friction factor (dependent on the Reynolds number and pipe roughness)
L = length of pipe (10 m in this case)
D = diameter of pipe (75 mm = 0.075 m)
ρ = density of glycerin at 20 °C (1,259 kg/m^3)
V = centerline velocity (1.0 m/s)
First, we need to calculate the Reynolds number:
Re = (ρVD)/μ
Where:
μ = dynamic viscosity of glycerin at 20 °C (0.001 Pa·s)
Re = (1,259 kg/m^3 x 1.0 m/s x 0.075 m) / 0.001 Pa·s = 94,425
Using a Moody diagram, we can determine that the friction factor for this Reynolds number and pipe roughness is approximately 0.019.
Plugging in these values to the Darcy-Weisbach equation, we get:
ΔP = 0.019 (10 m / 0.075 m) (1,259 kg/m^3 x 1.0 m/s^2 / 2) = 126 Pa
Therefore, the head loss and pressure drop in a 10-m length of the pipe are 126 Pa.

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Answer:

A) 250 J

B) 150 J

C) The efficiency = 0.6 and the percentage efficiency = 60%

Explanation:

The question relates to definition of terms in energy transfer and the calculation of efficiency

The parameters of the given are;

The energy the object transfers = 150 J

The amount of electrical energy supplied to the motor = 250 J

Therefore, we have;

A) The total energy supplied to the motor = The amount of electrical energy supplied to the motor = 250 J

B) The useful energy transferred = The energy used to do work = 150 J

C) The efficiency = (Useful energy transferred (out))/(Total energy supplied (in)

\(The \ efficiency = \dfrac{Useful \ energy \ transferred \ (out)}{Total \ energy supplied \ (in)} = \dfrac{150 \, J}{250 \, J} = 0.6\)

The percentage efficiency is given as follows;

\(The \ percentage \ efficiency = \dfrac{Useful \ energy \ transferred \ (out)}{Total \ energy supplied \ (in)} \times 100\)

\(\therefore The \ percentage \ efficiency = \dfrac{150 \, J}{250 \, J} \times 100 = 0.6 \times 100 = 60\%\)

Answer:

A) 250 J

B) 150 J

C) efficiency = 0.6, percentage efficiency = 60%

Explanation: