A ball of mass M swings in a horizontal circle at the end of a string of radius R at an initial tangential speed v0 as it undergoes uniform centripetal motion. A student gradually pulls the string inward such that the radius of the circle decreases, as shown in the figure. Which of the following predictions is correct regarding the angular momentum and rotational inertia of the ball about the axis of revolution as the ball is pulled inward? The angular momentum of the ball increases. The rotational inertia of the ball about the axis of revolution decreases. A The angular momentum of the ball increases. The rotational inertia of the ball about the axis of revolution stays the same. B The angular momentum of the ball remains constant. The rotational inertia of the ball about the axis of revolution decreases. C The angular momentum of the ball remains constant. The rotational inertia of the ball about the axis of revolution stays the same. D

The electric force between the droplets, and the horizontal acceleration this force produce on the droplets are: 5.84*10^-7 N and 0.32 m/s² respectively

In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.

To solve this exercise the electric force formulas and the procedures we will use are:

Where:

Given Info:

Applying the electric force formula we have:

F = (k * q1 * q2)/r²

F = [(9 *10^9 N*m²/C² * (2.9*10^-11 C) * (2.9*10^-11 C)]/ (3.6*10^-3 m)²

F = 7.569*10^-12 N*m² /1.296*10^-5 m²

F = 5.84*10^-7 N

Applying the force formula and clearing the acceleration, we get:

a= F/m

a= 5.84*10^-7 N/ 1.8*10^-6 kg

a= 0.32 m/s²

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Given:

The height from the ground is h = 350 m

The gravitational potential energy is GPE = 120,200 J

To find the mass of the hiker.

Explanation:

The mass of the hiker can be calculated by the formula

Here, g =9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the mass of the hiker will be

Thus, the mass of the hiker is 35.044 kg

An electrician, 44 years old, was startled. He responds to verbal cues and speaks erratically. blow 12 breaths per minute with a BVM.

An electrician is a tradesperson with expertise in wiring electrical systems for stationary machines, transmission lines, and other associated machinery. Electricians may work on new electrical component installations or the upkeep and repair of current electrical infrastructure. In factories, businesses, and residences, electricians are responsible for fixing, setting up, and maintaining the electrical power, lighting, and communications systems.

• Setting up and maintaining electrical devices, systems, and equipment.

• Using and maintaining power and hand tools like drills, pliers, and screwdrivers.

• Fixing wire infrastructure.

• Setting up conduits, wires, and tubing for electrical use.

• Checking systems, tools, and equipment.

Depending on the electrician's specialty, different working conditions apply. Typically, an electrician's job requires them to climb ladders and lift equipment and supplies. An electrician occasionally has to operate on scaffolding or in a small area, and they frequently have to bend over, stoop down, or kneel to make connections in tight spaces. Many of the days that construction electricians work may be spent in noisy, unclean outside or semi-outdoor construction sites. Industrial plants' heat, dust, and noise may be exposed to industrial electricians. Electricians who specialize in power systems may be called upon to perform emergency repairs in all types of bad weather.

A 44 year old electrician has been shocked. He is responsive to verbal stimuli and has garbled speech. His airway is open ad he is breathing shallowly at a rate of 8 times per minute. his pulse is slow and irregular. Which one of the following actions should the EMT perform next?

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Simply multiplying the appliance's wattage by the number of hours it is used each day will accomplish this.

You must divide this figure by 1,000 since you require kilowatt- hours and this gives you watt-hours (a kilowatt equals 1,000 watts). The Energy Information Agency (EIA) estimates that the typical American home uses 10,715 kilowatt-hours (kWh) of energy annually. It takes 29,360 watts (W) per day to power a home for a day, which can be divided by 24 to get an average of 1,223 W. According to data from industry watchdog Ofgem from January 2022, the typical dual fuel variable tariff cost £1,277 per year, or £106.41 per month.

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Answer:

v = 2.89 m / s

Explanation:

This is a kinematics exercise, the centripetal acceleration is

         a = v² / r

where a is the acceleration, v is the velocity and r the radius

let's clear

       v = √a r

let's calculate

       v = √ (27 0.31)

       v = 2.89 m / s

this is the speed of the drum which is constant

The tangential speed of the rim will be "2.89 m/s".

Tangential speed seems to be the rate beyond which the item moving throughout a circle travels.

A wider radius indicates that perhaps the thing goes a considerable distance.

According to the question,

Radius, r = 0.31 m

Acceleration, a = 27 m/s²

We know,

→ \(a = \frac{v^2}{r}\)

or,

→ \(v= \sqrt{ar}\)

By substituting the values,

     \(= \sqrt{27\times 0.31}\)

     \(= 2.89 \ m/s\)

Thus the answer above is right.

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His final velocity at the end of the 2.6 seconds will be  25.48 m/s

given

time = 2.6 seconds

initial velocity = u = 0

acceleration = acceleration due to gravity = 9.8 \(m/s^{2}\)  (since , it is a free fall )

final velocity = ?

using kinematics equation

v = u + at

v = u - g*t

v = - 9.8 * 2.6 = - 25.48 m/s

His final velocity at the end of the 2.6 seconds will be  25.48 m/s in downward direction

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An electric light bulb marked 100W is used in a home in which the wall outlet is 220V. We need to find the resistance of the filament in the bulb. The formula to calculate the resistance is given by;Resistance = Voltage/CurrentAs we have power and voltage.

So we can use the following formula to calculate the current.

Power = Voltage × CurrentCurrent = Power / VoltagePutting

The value of voltage and power in the above formula we get: Current = 100 / 220 = 0.4545 Amps Now, putting the value of voltage and current in the formula of resistance we get;

Resistance = 220 / 0.4545Resistance = 483.87 Ω

As we know that power is equal to voltage times current or P = VI, we can also calculate the resistance using the formula:

Resistance = (Voltage)^2 / PowerResistance = (220)^2 / 100Resistance = 484 Ω (approximately).

Hence, the resistance of the filament in the bulb is 483.87Ω or approximately 484 Ω.

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Answer:

maybe A 100 minutes of intense activity weekly

The acceleration is maximum when the displacement of the object is maximum.

We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.

The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.

The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.

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The current at point A = 3A, The current at B = 6 A, the current at C = 2.25 A, the current at D = 18 A.

The current flowing in the circuit is calculated as follows;

Same current will be flowing at point A and C since they are in series, while different current will be flowing in the rest of the circuit.

Total resistance  is calculated as;

1/R = 1/(3 + 9) + 1/6 + 1/2

1/R = 1/12 + 1/6 + 1/2

R = 1.33

The total current in the circuit;

I = V/R

I = 36 V / 1.33

I = 27 A

Current at B = 36 / 6 = 6 A

Current at D = 36 / 2 = 18 A

Current at A and C = 27 A - (6 + 18)A = 3 A

Current at A = 3 / 12 x 3 A = 0.75 A

current at C = 9 / 12  x 3A = 2.25 A

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Answer:

CounterClockWise

Explanation:

Or just left

In order to determine the density of a cylinder, we need to know its mass and volume. The mass of the cylinder is given as 29.2 grams, but the volume is not provided. Without the volume, it is impossible to calculate the density of the cylinder.

As for whether or not the cylinder will float in water, that also depends on its density. If the density of the cylinder is less than the density of water (1), then it will float. However, without knowing the density of the cylinder, it is impossible to determine whether or not it will float in water.

Answer:

v = 0.363 m/s

Explanation:

Given that,

The table is 0.55m tall and the tennis ball lands 0.12m away from the table.

Here, u = 0 (at rest) for initial vertical velocity as it rolls off the edge of a table.

Let t is the time to fall from the vertical height. So,

\(h=ut+\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 0.55}{9.8}} \\\\t=0.33\ s\)

It can be assumed to find the initial horizontal velocity of the tennis ball. It can be given by :

\(v_x=\dfrac{x}{t}\\\\v_x=\dfrac{0.12}{0.33}\\\\v_x=0.363\ m/s\)

Hence, the initial horizontal velocity is 0.363 m/s.

In which of the processes is the temperature of the gas increasing .The temperature of a gas can increase during the process of compression or heating.

The temperature of the gas increases during compression or heating.  Compression: When a gas is compressed, it is subjected to external pressure, causing the gas molecules to come closer together. This results in an increase in temperature due to the increased kinetic energy of the gas molecules.

Heating: If a gas is heated, the average kinetic energy of its molecules increases, leading to a rise in temperature. This increase in temperature occurs because the added energy causes the gas molecules to move faster and collide more frequently, resulting in increased molecular motion and a higher temperature.

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Explanation:

Hey there!

Universal gravitation constant (g) is the force of gravitation produced between two bodies of unit mass each separated by unit distance between their centers. The value of universal gravitation constant (g) is 6.67 Nm²/kg², which is constant all over the world. So, that's why it is called universal gravitation constant.

Hope it helps....

(a) The emf induced in the wire is 0.112 V.

(b) The direction of the current will into the page.

(c) The polarity of A will be positive and L will be negative.

(d)  The current flowing through the wire is 0.224 A.

The emf induced in the wire is calculated as follows;

EMF = BLv

EMF = (8 x 10⁻²) x 0.2 x 7

EMF = 0.112 V

Since, the magnetic field is out of the page, the current will follow counter clockwise and will point into the page.

The current is flowing counter currently, hence the polarity of A will be positive and L will be negative.

V = IR

I = V/R

I = (0.112)/0.5

I = 0.224 A

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The barriers to success for an Electric Automated Bike could include technological limitations, high costs, limited infrastructure, regulatory challenges, and consumer acceptance.

The success of an Electric Automated Bike could face several barriers.

Firstly, technological limitations could impact the performance and reliability of the bike's electric and automated systems. Issues such as battery range, charging infrastructure, and the efficiency of automated features may need to be addressed for widespread adoption.

Secondly, high costs can hinder the market penetration of electric automated bikes. The advanced technology, including electric motors, sensors, and automated systems, may contribute to higher prices, making them less affordable for the average consumer.

Limited infrastructure is another barrier. Electric automated bikes may require dedicated charging stations or infrastructure to support their operation, which may not be widely available or accessible in certain areas.

Regulatory challenges may also arise, as there may be a need for specific regulations and standards to govern the operation and safety of electric automated bikes. Ensuring compliance with existing laws or advocating for new regulations can be a complex process.

Finally, consumer acceptance and behavior play a crucial role. The market may require time to adapt to new technologies and embrace the concept of automated biking.

Consumer concerns about safety, reliability, and convenience need to be addressed to build trust and encourage adoption.

Overcoming these barriers requires a collaborative effort between technology developers, policymakers, infrastructure providers, and consumer awareness campaigns to address the challenges and create an environment conducive to the success of electric automated bikes.

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The principle that describes the uniform nature of pressure throughout a fluid is Pascal's Principle.

What does Pascal's principle state?

Pascal's principle states that when a pressure is applied to a confined fluid, the pressure is transmitted undiminished and equally in all directions throughout the fluid. This means that if an external force is applied to a confined fluid (like a gas or liquid), this force will be evenly distributed throughout the entire container, no matter where it is applied. For example, if you were to press down on a piston in a cylinder filled with oil, the same pressure would be felt on the other side of the cylinder as well.

This principle states that "pressure applied at any point in a confined incompressible fluid is transmitted undiminished to every part of the fluid and to the walls of the containing vessel." This explains why pressure is constant throughout a fluid since any applied pressure is distributed evenly to every portion of the fluid.

Therefore, Pascal's Principle is the correct answer.

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The largest deflection from the isoelectric line in the ECG is found in the QRS complex.

The correct option is D.

An ECG (electrocardiogram) is a medical test that records the electrical activity of the heart. It is a non-invasive procedure that involves attaching electrodes to the skin of the chest, arms, and legs, which detects the electrical signals generated by the heart as it beats. These signals are amplified and recorded, producing a visual representation of the heart's electrical activity over time, known as an ECG waveform.

The QRS complex is the largest deflection from the isoelectric line in the ECG. It represents the depolarization of the ventricles and is typically a sharp, narrow peak.

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Energy refers to the ability or capacity to do work. Energy can be of various types as follows:

Kinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.

The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.

Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.

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Answer:

Without food your not able to produce energy thats why you cannot work so long

Answer:

False

Explanation:

Target zone is generally approximatly 70% (maybe 80%)  of your maximum amount of work you can do.

The force constant of the spring is 61.3 N/m of a 5.00-kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. The object is set into vertical oscillations having a period of 2.70 s.

The force constant of the spring can be found using the formula:
\(k = \frac{ (4π^{2} m) }{T^{2} }\)

where k is the force constant, m is the mass of the object (5.00 kg), and T is the period of oscillation (2.70 s).
Plugging in the given values, we get:
\(k =\frac{ (4π^{2} *5.00 kg)}{(2.70 s)^{2} }\)
k = 61.3 N/m
Therefore, the force constant of the spring is 61.3 N/m.
The formula for calculating the force constant of a spring is based on Hooke's law, which states that the force exerted by a spring is proportional to the displacement of the object from its equilibrium position.

The force constant is a measure of the stiffness of the spring, and it represents the amount of force required to stretch or compress the spring by a certain distance.
We can determine the force constant of a spring by knowing the mass of the object attached to the spring and the period of oscillation of the system. In this particular case, the force constant is 61.3 N/m.

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The steel string is stretched by 0.06 mm.

We can use Hooke's Law to find the amount of stretch in the steel string:

F = kΔL

where F is the tension force, k is the spring constant (related to the Young's modulus), and ΔL is the amount of stretch.

Rearranging the equation, we get:

ΔL = F / k

The spring constant k can be expressed as:

k = A * E / L

where A is the cross-sectional area of the string, E is Young's modulus, and L is the original length of the string.

Substituting the given values, we get:

A = \(πr^2 = π(0.5 mm)^2 = 0.785 mm^2\)

k = (π/4) * (1.0 mm)^2 * (20 × \(10^10 N/m^2\)) / (1.8 m) = 5.50 × \(10^4 N/m\)

Now we can find the amount of stretch:

ΔL = (3.3 × \(10^3 N)\)/ (5.50 × \(10^4 N/m\)) = 0.06 mm

Therefore, the steel string is stretched by 0.06 mm.

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Answer:

Gravitational attraction caused the volume of the nebula to decrease, which raised the particle motion and temperature at the center of the nebula to the necessary 14 million Kelvin.

Explanation:

Plato/edmentum sample answer

Gravitational attraction caused the volume of the nebula to decrease, which raised the particle motion and temperature at the center of the nebula to the necessary 14 million Kelvin.

Newton's law of universal gravitation is usually stated as that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.[note 1] The publication of the theory has become known as the "first great unification", as it marked the unification of the previously described phenomena of gravity on Earth with known astronomical behaviors.

This is a general physical law derived from empirical observations by what Isaac Newton called inductive reasoning. It is a part of classical mechanics and was formulated in Newton's work Philosophiæ Naturalis Principia Mathematica ("the Principia"), first published on 5 July 1687. When Newton presented Book 1 of the unpublished text in April 1686 to the Royal Society, Robert Hooke made a claim that Newton had obtained the inverse square law from him.

In today's language, the law states that every point mass attracts every other point mass by a force acting along the line intersecting the two points. The force is proportional to the product of the two masses, and inversely proportional to the square of the distance between them.

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The magnitude of the acceleration of the elevator is approximately 3.51 \(m/s^2\).

(a) The scale reading when the elevator is at rest gives the normal force acting on the person, which is equal in magnitude to the person's weight. Thus, the weight of the person is 598 N when the elevator is at rest.

(b) The weight of an object is given by the product of its mass and the acceleration due to gravity.

weight = mass x acceleration due to gravity

598 N = mass x 9.81 \(m/s^2\)

mass = 60.9 kg

Therefore, the person's mass is approximately 60.9 kg.

(c) We can use Newton's second law (F = ma) to find the acceleration of the elevator. The net force acting on the person is given by:

net force = final force - initial force

net force = 384 N - 598 N

net force = -214 N

net force = mass x acceleration

-214 N = 60.9 kg x acceleration

acceleration = -3.51 \(m/s^2\)

Therefore, the magnitude of the acceleration of the elevator is approximately 3.51 \(m/s^2\).

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Answer:

pressure = force ie 500 N divided by area ie 0.05m².

p=f by a

p= 500n divided by 0.05 m²

p= 10,000 pascal