. a pulley consists of a uniform disk with mass m and radius is r and is free to rotate around a frictionless axle through its center. a mass m is hung from a string wrapped around the pulley. if the string does not slip, what is the acceleration of m?

Answer:

2

Explanation:

Due to the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn together by a stronger gravitational attraction. As a result, the gravitational pull between two objects grows as their respective masses rise.

Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be attracted by stronger gravitational forces. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

The attraction created by gravity is between masses. The gravitational force, commonly known as the gravity force, increases with the size of the masses. With an increase in the distance between masses, the gravitational pull rapidly lessens.

Therefore, second have greater gravitational force.

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Answer:

660 centimeters

Explanation:

There are 100 cm in 1 m. To convert from m to cm, multiply by 100.

\(6.6 \times 100 = 660\)

There are 660 cm in 1 m.

Answer: Kinetic energy of electron = 7.45 x 10^-16 J We know that Potential difference = Work done per unit charge = Kinetic energy of electron / ( 1.6 x 10^-19 ) = (7.45 x 10^-16) / ( 1.6 x 10^-19) = 4656.25 V

Explanation:

The potential difference between the plates is \(4650.43V\)

The Potential difference is also defined as the work done per unit charge.

Work done = kinetic energy = \(7.45*10^{-16}J\)

Charge on one electron = \(1.602*10^{-19}C\)

Potential difference,

                         \(V=\frac{7.45*10^{-16}}{1.602*10^{-19} }=4650.43Volt\)

Hence, the potential difference between the plates is \(4650.43V\)

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Answer:

None of the above. The tension in the rope is equal to the sum weight and mass times acceleration. Acceleration of the child points upwards toward the center of the motion.

Explanation:

The child is in a centripetal motion. As a result, acceleration of the child would point towards the center of the swing.

When the child is at the lowest point of the swing, the center of the swing is right above the child. Hence, the acceleration of the child would point directly upwards.

The weight of the child points downwards at all time.

Tension in the rope always point along the rope towards the center of the swing. Because the child is at the lowest point of the swing, the rope would be vertical, and tension in the rope would point upwards.

Both tension from the rope and weight are in the vertical direction. However, because weight points downwards while tension points upwards, magnitude of the resultant net force would be the difference between the magnitude of tension and magnitude of weight.

At the same time, the resultant force on the child is nonzero because it is equal to mass times acceleration (both are nonzero). Thus:

\((\text{net force}) = (\text{tension}) - (\text{weight})\).

\((\text{tension}) = (\text{net force}) + (\text{weight})\).

Therefore, the tension in rope would be equal to neither weight nor mass times acceleration, but the sum of the two.

Answer: Deposition

Explanation: Deposition is the process by which a gas changes to a solid.

The intensity of an electromagnetic wave depends on its wavelength and peak electric or magnetic field magnitude. In case (a), for a wave with a wavelength of 620 nm and a peak electric field magnitude of 3.1 V/m, the intensity is calculated to be approximately 1.43 × 10^14 W/m². In case (b), for a wave with an angular frequency of 5.9 × 10^18 rad/s and a peak magnetic field magnitude of 10^-10 T, the intensity is approximately 5.48 × 10^4 W/m².

The intensity of an electromagnetic wave is determined by the square of the electric or magnetic field magnitude. The formula to calculate intensity is given by:

Intensity = (1/2) * ε₀ * c * E₀², for electric field magnitude

Intensity = (1/2) * B₀² / μ₀, for magnetic field magnitude

In case (a), the wavelength of the wave is 620 nm, which corresponds to a frequency of approximately 4.84 × 10^14 Hz. Since speed of light (c) is approximately 3 × 10^8 m/s, we can calculate the angular frequency (ω) as 2πf, which gives us approximately 3.04 × 10^15 rad/s. Using the formula for intensity with the peak electric field magnitude of 3.1 V/m, we substitute the values and obtain an intensity of approximately 1.43 × 10^14 W/m².

In case (b), the angular frequency is given as 5.9 × 10^18 rad/s, and the peak magnetic field magnitude is 10^-10 T. Using the formula for intensity with the peak magnetic field magnitude, we substitute the values and obtain an intensity of approximately 5.48 × 10^4 W/m².

These calculations provide the respective intensities of the electromagnetic waves described in each case, based on the given parameters of wavelength, electric field magnitude, angular frequency, and magnetic field magnitude.

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The total momentum vectors will not change prior to or following a collision. When two objects collide at an angle from one another, their momentum will not change. Thus, the momentum of objects colliding remains constant.

Because momentum is dependent on mass and velocity, objects in space can have momentum. Mass is a property that does not change depending on where an object is, unlike other properties like weight.

Simply said, mass is the continuous amount of matter that makes up an item. Thus, momentum is a property of objects in space.

Therefore, Both the ship and the individual are moving at a 2 km/h rate.

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Answer:

B

Explanation:

i hope it hleps

Answer:

Explanation:

Newton's Third Law states that "every action has an equal and opposite reaction". In a rocket, burning fuel creates a push on the front of the rocket pushing it forward. This creates an equal and opposite push on the exhaust gas backwards.

The vector BR in unit vector notation is:

BR = 8.485 î + 8.485 j

What is Vector?

Vectors can be added together to find the result, which is known as the vector sum. The vector sum can be found using the head-to-tail method, where the tail of one vector is placed at the head of the other vector. The vector sum is the vector that goes from the tail of the first vector to the head of the second vector.

To write the vector BR in unit vector notation, we need to find its components in the i and j directions.

Given that the magnitude of the vector is 12.0 and it makes an angle of 45 degrees with the positive x-axis, we can use trigonometry to find the components.

The x-component (i-direction) of the vector is given by:

Bx = B cos θ = 12.0 cos 45° = 8.485

The y-component (j-direction) of the vector is given by:

By = B sin θ = 12.0 sin 45° = 8.485

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Using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

Given:

Voltage input (V) = 30V

Initial speed (w) = 0

Step size (h) = 0.4s

Time at which speed is to be determined (t) = 0.8s

We need to determine the speed (w) at t = 0.8s using Heun's method.

We have k₁ = f(t₁, W₁) = 0.02 + 0.06w₁ (using the given equation)

At t = 0 and w = 0 (initial conditions), we have:

k₁ = 0.02 + 0.06(0) = 0.02

We have k₂ = f(t₁ + h, w₁ + k₁h) = 0.02 + 0.06(w₁ + 0.02h)

So, at t = 0.4s and w = 0 (initial conditions), we have:

k₂ = 0.02 + 0.06(0.02 * 0.4) = 0.02 + 0.00048 = 0.02048

So, W₂ = w₁ + (k₁ + k₂)(h/2)

   = 0 + (0.02 + 0.02048)(0.4/2)

   = 0.04048(0.2)

   = 0.008096

Therefore, using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

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The complete question is:

The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at t = 0.8 s by using the Runge-Kutta 2nd order Heun's method. Heun's method: Wi+1=W₁ = w₁ + (-/-^₁ + = -K ₂ ) h where, k₁ = f(t₁, W₁) and k₂ = f(t₁ + h, w₁ + k₁h), the speed (w) at t = 0.8s is approximately 0.0081.

Given parameters:

Mass of load = 20kg

Height of man = 1.4m

Unknown:

Work done by man = ?

Work done is the force applied to move a body in a particular direction.

Often times, it is mathematically expressed as;

           Work done  = Force x distance

In this problem, we use the formula of potential energy to find the work done;

     Work done  = Potential energy  = mgh

where m is the mass of the load

            g is the acceleration due to gravity  = 9.8m/s²

            h is the height of the body

Now, input the parameters, and solve for work done;

        Work done = 20 x 9.8 x 1.4  = 274.4J

The work done by man is  274.4J

Answer:

30 miles people hour (mph)

Explanation:

The maximum speed for one flat tyre is 30mph, for both tyres it is 20 mph and for two tyres on the same side it is 30mph. When a tyre is punctured driving at high speed should be avoided and not too long distance should be covered to avoid further accident and for the safety of other vehicles. Speed limit and distance for flat tires should be strictly followed.

Answer:

10.4 m/s²

Explanation:

use the formula:  V² = Vo² - 2aΔx

Plug in the known values then solve for a.  Vo = 0 because the car starts from rest.

(25 m/s)² = 0 + 2a(30m)

a = (625 m²/s²)/(2)(30m) = 10.4 m/s²

Answer:

Vf = final velocity = 1.96 [m/s]

Explanation:

To solve this problem we must use the following equation of kinematics.

\(v_{f}^{2}=v_{o}^{2}-2*g*x\)

where:

Vf = final velocity [m/s]

Vo = initial velocity = 9.98 [m/s]

g = gravity acceleration = 9.81 [m/s²]

x = vertical distance [m]

\(v_{f}^{2}=(9.98)^{2}-2*9.81*4.88\\v_{f}^{2} = 99.6-95.74\\v_{f}=\sqrt{3.8544}\\v_{f}=1.96[m/s]\)

Note: The negative sign of the gravity acceleration means that the gravity acceleration is pointing in the opposite direction of the movement.

Answer:

In this lab, we used a virtual spectrometer to analyze the elements present in unknown astronomical objects. We observed that Moon One had hydrogen, helium, and carbon present, while Moon Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present. Planet One had hydrogen, helium, lithium, sodium, and carbon present, while Planet Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present.

It is essential to use many types of equipment when studying space because the electromagnetic spectrum is made up of many different wavelengths and frequencies, and each one provides different information. If carbon was the most common element found in the moons and planets, oxygen would be missing, which is necessary for the carbon cycle to occur. The electromagnetic spectrum helps us find out the make-up of stars by allowing us to detect the different wavelengths and frequencies of light they emit, which can tell us the elements they are composed of.

It is useful to determine the elements that a planet or moon is made up of because it can provide insight into the planet's atmosphere, climate, and potential for life. Knowing the elements present can also help us understand the history of the planet or moon, such as how it was formed and how it has evolved over time.

The increase in dihedral of a swept-wing airplane with weak static directional stability would cause an increase in both the Mach tuck tendency and the Dutch roll tendency, but would not have a significant effect on longitudinal stability.

Dihedral refers to the angle between the wings and the horizontal plane. Increasing the dihedral angle of a swept-wing airplane would cause the wings to be angled upwards, which can increase the roll stability of the aircraft.

However, it can also cause an increase in the Mach tuck tendency, which is the tendency of an aircraft to pitch nose-down as it approaches the speed of sound. This is because the upward-angled wings can cause a reduction in lift at high speeds, leading to a nose-down pitching moment.

Additionally, an increase in dihedral can also increase the Dutch roll tendency, which is an oscillation in which the aircraft rolls and yaws simultaneously. This can be caused by the wing's dihedral effect and the vertical fin's directional stability.

A swept-wing aircraft with weak static directional stability is already prone to Dutch roll, and an increase in dihedral would exacerbate this tendency.

Longitudinal stability refers to the aircraft's tendency to return to its original pitch attitude after a disturbance. While an increase in dihedral can affect roll stability and Mach tuck tendency, it would not have a significant effect on longitudinal stability.

Longitudinal stability is primarily influenced by the position of the aircraft's center of gravity, the size and position of the horizontal stabilizer, and the wing's angle of incidence.

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The acceleration due to gravity on that planet is 6.13 m/s², if the height of drop of wrench is 1.52 m and time is 0.705 seconds.

Initial velocity of the wrench, u = 0   [initially at rest]

Height travelled by the wrench, h = 1.52 m

Time taken to travel through 1.52 m height, t = 0.705 sec

Let the acceleration due to gravity at that planet is g.

By the second equation of motion,

h = ut + 0.5gt²

1.52 = 0 × t + 0.5 × g × 0.705²

1.52 = 0.248g

g = 1.52/0.248

g = 6.13 m/s²

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The given statement "scientists are concerned about the decrease in ozone is allowing more ultraviolet" is true because ozone is a molecule made up of three oxygen atoms that exist in the Earth's atmosphere. It's a form of oxygen that absorbs almost all of the Sun's harmful ultraviolet light.

Ultraviolet rays are very harmful to humans, causing skin cancer, immune system breakdowns, and cataracts in the eyes. When the ozone layer is damaged or thinned, it can allow more ultraviolet rays to penetrate the atmosphere, which is why scientists are so concerned about ozone depletion.What are the impacts of ozone depletion?It is estimated that a 1% reduction in the ozone layer increases the incidence of non-melanoma skin cancer by 2%.A decrease of 10% in the ozone layer may result in a 20% increase in the incidence of skin cancer.The thinning of the ozone layer may result in a decrease in plant production, which may result in food supply shortages.A decrease in ozone may have an impact on phytoplankton, which play a crucial role in ocean food webs. These tiny creatures consume carbon dioxide and produce half of the world's oxygen. As phytoplankton numbers decline, ocean ecosystems may change, affecting everything from fish populations to weather patterns.

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Answer:

1. A

2. D

3. B

4. C

Explanation:

1. A- Aristotle thought that the Earth was flat and that anyone who sailed off the edge of the ocean would fall of Earth, this theory of course later got disproved by Kepler and other scientists

2. D- Kepler suggested the modern model of the Solar System because after months and months of looking out the telescope and making models of the Solar System, Kepler finally made the conclusion of the official Solar System.

3. B- Egyptians thought did not move and all the planets, including the sun revolved around it. Later, Kepler disproved this theory with the modern Solar System.

4. C- This is the path that planets follow to revolve around the Sun. People first thought that planets moved in a circular motion but actually they moved in a ellipse because the Sun's gravity pulled planets closer at some parts more than others.

The voltage drops across each capacitor in the circuit are approximately 6.2V each.

To find the voltage drops across each capacitor in a series circuit, we need to use the formula:

V = Q / C

Where V is the voltage drop across the capacitor, Q is the charge stored in the capacitor, and C is the capacitance of the capacitor.

Let's calculate the charge stored in each capacitor first.

For capacitor C1 with a capacitance of 5.2μF, we can use the formula:

Q1 = C1 * V

Substituting the values, we get:

Q1 = 5.2μF * 6.2V

Calculating this, we find:

Q1 = 32.24μC

Similarly, for capacitor C2 with a capacitance of 11.5μF, we have:

Q2 = C2 * V

Substituting the values, we get:

Q2 = 11.5μF * 6.2V

Calculating this, we find:

Q2 = 71.3μC

Now that we have the charges stored in each capacitor, we can find the voltage drops across each capacitor using the formula:

V = Q / C

For capacitor C1:

V1 = Q1 / C1

Substituting the values, we get:

V1 = 32.24μC / 5.2μF

Calculating this, we find:

V1 ≈ 6.2V

For capacitor C2:

V2 = Q2 / C2

Substituting the values, we get:

V2 = 71.3μC / 11.5μF

Calculating this, we find:

V2 ≈ 6.2V

Therefore, the voltage drops across each capacitor in the circuit are approximately 6.2V each.

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Answer:

2kg

Explanation:

F= ma

F = 0.5N and a = 0.25m/s²

m = F/a

= 0.5/ 0.25

= 2kg

Answer:

D

Explanation: need good posture other wise will injury yourself during activity

42000 kilometers

Explanation:

distance is velocity × time

28000 ×1.5

42000

remember to match units

thats why i wrote 1.5 hours instead of 90minutes

Answer:

all of the above conditions are necessary for electric current to flow

Explanation:

mark as brainliest

Answer:

Which of the following is NOT TRUE about a longitudinal wave?

Explanation:

Answer:

4.8 A

Explanation:

Voltage = current x resistance

(V = IR)

12 = I (0.5 +2)

I = 4.8 A

Answer: below

Explanation: Density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume

Answer:

Density is defined as the amount of matter contained in unit volume of body

The initial and final current are both zero because direct current does not pass thru a capacitor:

Current thru a capacitor is described as:

i = -E/R e^-t / RC

When switch is first closed t = -0 and i - E/R = -9/10 = -.9 amps

Perhaps this is what was meant by "first closed"

As t goes to infinity i, in the circuit goes to zero

Answer:

correct answer is C on usatestprep

Explanation:

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