a frictionless pulley has the shape of a uniform solid disk of mass 4.00 kg and radius 17.0 cm . a 2.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley(figure 1), and the stone is released from rest. as it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. how far must the stone fall so that the pulley has 4.30 j of kinetic energy?

The angle θ between P and Q vector is 18.43°.

In physics, a vector is a quantity that has both magnitude and direction. It is typically represented by an arrow with the same direction as the quantity and a length proportional to the magnitude of the quantity.

A vector, while having magnitude and direction, does not have position. A vector quantity is any physical quantity that has both directions and magnitude.

According to given parameters:

PQ sinθ = (1/3) PQ cosθ

tanθ = 1/3

θ = 18.43°

Hence, the angle θ between P and Q vector is 18.43°

Learn more about vector quantity here:

https://brainly.com/question/774036

#SPJ1

Option D: Apply a force of magnitude 2F for a period of time t=2T to a mass m object. The impulse will rise as the force, the passage of time, or the object's mass increase.

The force times the length of time that the force is applied to an item results in the impulse. For a force to impose an impulse on an item, both the force applied and the time period during which it is applied must be non-zero. The scenario in which a force of magnitude 2F is applied to an item of mass m over a period of time t = 2T results in option D being the right response. This is so that, since the impulse is computed as the product of force and time, the impulse will not change if the force and time are both doubled. Alternatives like A, B, and C wouldn't cause an impulse to be applied to an object.

learn more about magnitude here:

https://brainly.com/question/28173919

#SPJ4

The speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).

Sound waves are waves of energy that travel through air, water, or other materials as vibrations. Sound waves form when an object vibrates in a medium like air.

The speed of sound in air is approximately 1,116 feet per second at sea level and decreases with increasing altitude. At an air temperature of 0°C (32°F), the speed of sound is about 1,010 feet per second.
Therefore, the speed of a sound wave will be closest to 1,000 feet per second at an air temperature of 0°C (32°F).

To learn more about sound wave
https://brainly.com/question/16093793
#SPJ4

When the accumulation of snow and ice during the winter months exceeds the ice melt during the summer months, the mass of a glacier increases.

The complete question:

"the mass of a glacier ____ when the accumulation of snow and ice during the winter months is larger than ice melt during summer months. fill in the blank with the best word choice from the list below.

a. increases

b. decreases."

To learn more about glaciers refer to :

https://brainly.com/question/424537

#SPJ4

The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.

The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().

Here,

r=2.5 ohm

V= 6.2 volts

P=4.5 watt

P=V²/R

R=V²/P

R=6.2*6.2/4.5

R=8.54 ohm that is about 9 ohm.

I=V/R

I=0.726 A

EMF=V+Ir

=6.2+0.726*2.5

=6.20+1.81

=8.01 volts

The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.

To know more about resistance,

https://brainly.com/question/13258713

#SPJ1

The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulphate.

Concentration in chemistry is defined as the abundance of an ingredient divided by the total volume of a combination. There are four sorts of mathematical descriptions: mass concentration, molar concentration, number concentration, and volume concentration. The amount of a material, such as salt, that is present in a certain amount of tissue or liquid, such as blood. When there is less water present, a material becomes more concentrated. When a person does not drink enough water, the salt in his or her urine may become more concentrated. A substance's concentration is the amount of solute contained in a given amount of solution. Molarity is the number of moles of solute in one liter of solution and is used to express concentrations.

Here,

The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulfate.

To know more about concentration,

https://brainly.com/question/12705024

#SPJ4

(1) The total pressure of the pipe at point 1 is 1.85 x 10⁵ Pa.

(2) The total pressure of the pipe at point 2 is  146,950 Pa.

The total pressure at position 1 and 2 is calculated by applying Bernoulli's equation as shown below.

P (t) = P₀ + ρgh

where;

The total pressure of the pipe at point 1 is calculated as follows;

P (t) = ( 1.85 x 10⁵ )  +   ( 1000 x 9.8 x 0 )

P (t) = 1.85 x 10⁵ Pa

The total pressure of the pipe at point 2 is calculated as follows;

P (t) = ( 1.2 x 10⁵ ) + ( 1000 x 9.8 x 2.75 )

P (t) = 146,950 Pa

Learn  more about total pressure here: https://brainly.com/question/26101731

#SPJ1

The complete question is below:

Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.85 x 10ª Pa and 1.20 x105 Pa. The

radius of the pipe at points 1 and 2 respectively is 3.30 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine

the following.

(1) the total pressure at point 1

(2) the total pressure at point 2

When a person or business avoids paying their tax responsibilities, it is a criminal violation that entails fines and penalties.

If Chloe doesn't pay her overdue taxes, then Internal Revenue Service will impose penalties. The threat is removed after she makes a payment. Now, she will finish her work more swiftly. This illustrates the application of behavior control.

On the contrary hand, tax avoidance is entirely legal. Qualified taxpayers may claim a variety of deductions, credits, or income adjustments in accordance with IRS regulations. For instance, some homeowners are permitted to write off the interest they pay off their mortgage.

To know more about responsibilities visit:

https://brainly.com/question/29332075

#SPJ4

C. 27 N force must be applied to lift the object.

To learn more about The mechanical advantage of a pulley system refer to:

https://brainly.com/question/1303344

#SPJ1

The equation relating Kp and Kc for a given reaction is Kp = Kc (RT)^Δn.

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions connected by an equal sign, and it expresses the relationship between the two expressions. Equations can be used to solve for unknown quantities, to describe physical phenomena, and to model real-world situations. Different kinds of equations are used in various fields of science and mathematics, ranging from simple linear equations to complex differential equations.

Where:

Kp is the equilibrium constant for the reaction at a given pressure

Kc is the equilibrium constant for the reaction at a given concentration

R is the ideal gas constant and is equal to 0.0821 atmL/molK

T is the temperature in Kelvin

Δn is determined from the coefficients of the balanced equation, and represents the sum of the moles of products minus the sum of the moles of reactants in the reaction.

To learn more about equation
https://brainly.com/question/26408808
#SPJ4

The constant of proportionality (k) is used to represent the rate at which the drug is removed.

Proportionality is a mathematical concept that describes the relationship between two variables in which the ratio of their values is always constant. This ratio is known as a proportion and is expressed as a fraction.

The differential equation for the amount x(t) is given by:
dx/dt = r - kx
This equation states that the rate of change of x (dx/dt) is equal to the rate of infusion (r) minus the rate of removal (kx).
The rate of removal is proportional to the amount of the drug present at time t (x).
Therefore, the constant of proportionality (k) is used to represent the rate at which the drug is removed.

To learn more about proportionality
https://brainly.com/question/17010736
#SPJ4

In a command economy, the government is responsible for producing the goods that people need.

In a command economy, what does the government accomplish?

The production and distribution of goods and services are directed and regulated by the government in a command economy. The prices at which these goods and services are sold are set by the government, which also controls and manages the production and supply of these goods and services.

The government also decides what will be produced in terms of goods and services as well as how resources will be distributed. The majority of the resources and businesses are owned by the government, which also sets production targets and determines how they will be achieved.

The government also sets the wage rate and manages the flow of money, including the interest rate. Additionally, the government offers its citizens basic services like health care and education.

To learn more about command economy refer :

https://brainly.com/question/4379731

#SPJ1

Due to Eugene's intense control, the emotional environment for mom, jaja, and kambili is very confined and controlled.

The children never laugh, speak up, truly experience childhood, or grin as a result of Papa's ways. Additionally, they are never permitted to make mistakes or be themselves. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He is this way also because he virtually sees himself as a god and uses the bible to justify everything.

Eugene, the father, is incredibly controlling, which restricts and controls the emotional atmosphere for mom, jaja, and kambili. Due to papa's ways, the kids never speak up, laugh, or truly experience childhood. They also never smile. They're never let to make mistakes or be themselves, either. Papa is very severe because he did not have a lot growing up and wants his children to appreciate what they have. He too thinks this way; he uses the Bible to support all he does and almost considers himself to be divine.

Learn more about the atmosphere here: https://brainly.com/question/1844421

#SPJ4

The spring constant can be obtained as 0.12.

We know that in the question, we have been told that A 3.0 g spider is dangling at the end of a silk thread. You soon discover that you can give the spider the largest amplitude on his little bungee cord if you tap exactly once every second.

Thus using;

T = 2π√m/k

m = mass of the spider

k = spring constant

T = time in seconds

Then;

1 = 2 * 3.142√3 * 10^-3/K

1/2 * 3.142 = √3 * 10^-3/K

(1/2 * 3.142 )^2 = 3 * 10^-3/K

K = 3 * 10^-3/(1/2 * 3.142 )^2

K = 0.12

Learn more about the spring constant:https://brainly.com/question/14159361

#SPJ1

Data mining can be used to organize large volumes of data into meaningful patterns and summaries.

Large data sets are sorted through in data mining in order to find patterns and relationships that may be used in data analysis to assist solve business challenges. Enterprises can forecast future trends and make more educated business decisions thanks to data mining techniques and technologies.

Data mining is a crucial component of data analytics as a whole and one of the fundamental fields in data science, which makes use of cutting-edge analytics methods to unearth valuable information in data sets. Data mining, at a more detailed level, is a step in the knowledge discovery in databases (KDD) procedure, a data science approach for obtaining, processing, and evaluating data. Although they are often used interchangeably, data mining and KDD are more frequently understood to be separate concepts.

To learn more about data mining:

https://brainly.com/question/29052328

#SPJ4

The celestial meridian is a hypothetical line that passes through the NCP, the zenith, the north point on the horizon, and the south point on the horizon before ending at the south point.

To learn more about celestial meridian refer to:

https://brainly.com/question/28997796

#SPJ4

If one could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr), the time it will take to drive around the Earth's equator is 250.47hours.

The time it will take to cover a certain distance can be calculated using the following formula;

Speed = distance ÷ time

According to this question, one could drive a Jetson's flying car at a constant speed of 160km/hr (100 mi/hr) across oceans and space. The distance around Earth at the Equator, its circumference, is 40,075 kilometers (24,901 miles).

Time = Distance ÷ speed

Time = 40,075km ÷ 160km/hr

Time = 250.47hours

Therefore, 250.47hours is the time it will take to cover around the Earth's equator.

Learn more about distance at: https://brainly.com/question/541239

#SPJ1

The internal torque acting at point C is 800 lb-ft clockwise, and at point D is  1500 ft-lb anti-clockwise.

The shaft is bearing at a and b. As the shaft is at rest and not rotating in any direction. So the internal torque must be balancing the external torques acting on the shaft. Near the bearing A, the the external torque acting on the shaft is 1500 lb-ft clockwise, so at point D there must be an anti-clockwise torque. So the torque acting on the D is 1500 ft-lb.

Similarly, near the bearing B the external torque acting on the shaft is 800 lb-ft anti-clockwise, so there must be an equal and external clockwise torque working on point C to balance the 800 anti-clockwise torque. So the internal torque working on point C is 800 lb-ft.

--The given question is incomplete, the complete question is:

"the support bearings at a and b allow free turning of the shaft. (figure 1) figure1 of 1 part a determine the resultant internal torque acting on the cross section at points c and d . enter your answers in newton-meters to three significant figures separated by a comma."

To know more about torque, here

https://brainly.com/question/25708791

#SPJ4

If the value is positive, the member is in tension; otherwise, the member is in compression if the value is negative.

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull. A force is not something that an object possesses or possesses. Another object applies a force to another. The concept of a force is not restricted to living or non-living things.

Here,

If the value is positive, the member is in tension; if it is negative, the member is in compression.

To know more about force,

https://brainly.com/question/30174273

#SPJ4

When an Olympic track runner begins at rest and has an acceleration of 1.6 m/s2 for 3.7 seconds, then has zero acceleration for the remainder of the race, the runner's speed at time t is 2.08 m/s.

Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number.

Here,

put the values of Vi, a and t in first equation of motion

Vf = Vi + a×t

Vf = 0 + 1.6×1.3

Vf = 2.08 m/s

The runner's speed at time t as 1.3 seconds is 2.08 m/s when Olympic track runner starts from rest and has an acceleration of 1.6 m/s2 for 3.7 s, then has zero acceleration for the remainder of the race.

To know more about velocity,

https://brainly.com/question/14541874

#SPJ4

Answer:

Temperature

Explanation:

Commonly when speaking about the temperature outside we will refer to it as --degrees Fahrenheit or Celsius. So if I were to tell my friend that it is currently 68 degrees outside, that would mean that the current temperature is 68 degrees Fahrenheit or Celsius outside.

-Hope this helped

The force applied by the ball on the wall is 3.994 Newton, if the mass of the ball is 58 gm, and initial velocity is 34 m/s.

Mass of the ball, m = 58 gm = 0.058 kg

Initial velocity of the ball, u = +34 m/s

Time of the applied force, t = 1 sec

Final velocity of the ball, after collision, v = -34 m/s  [negative: as the direction is opposite]

Let the force applied by the ball on the wall is F. We know the rate of change of momentum of an object is equal to the force applied by the object. So,

F = (m₁v₁ - m₂v₂)/t

F = (0.058 × 34 - 0.058(-34))

F = 3.944 N

To know more about force, here

https://brainly.com/question/13191643

#SPJ4

a) The final speed of the UFO is 0 m/s.

b) The acceleration of the UFO is 0.0076 m/s^2.

We know that the speed would have to do with the rate of change of the displacement of the object with time. We known that within the time in which the UFO has a constant acceleration then the final velocity  of the UFO is 0 m/s.

We have that;

v^2 = u^2 - 2as

v = final velocity

a = acceleration

s = displacement

u = initial speed

The final speed of the UFO is 0 m/s

We then have;

u^2 = 2as

a = u^2/2s

a = (17)^2/2 * 19096

a = 0.0076 m/s^2

Learn more about acceleration:https://brainly.com/question/12550364

#SPJ1

It would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.

Average speed is the measure of an object's overall rate of motion in a given direction. It is calculated by dividing the total distance traveled by the total time taken. Average speed can be calculated over a certain period of time, or it can be calculated over the entire duration of a journey.

At an average speed of 45 km/hour, a hummingbird would travel 45 km in one hour.
Therefore, it would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.

To learn more about average speed
https://brainly.com/question/24739297
#SPJ4

The magnitude of the frictional force Fr acting on the object is 10 N.

option B.

The magnitude of the frictional force Fr acting on the object is calculated by applying the following formula.

F - Fr = ma

where;

50 N - Fr = 4 kg  x  10 m/s²

50 N - Fr = 40 N

Fr = 50 N - 40 N

Fr = 10 N

Learn more about force of friction here: https://brainly.com/question/20241845

#SPJ1

1. The net force is 79.1°

The angle between those two forces is 120 degrees (because the triangle is equilateral) so the net force on particle 3 is the vector sum of the two forces.

The direction of the force on particle 3 due to particle 1 is along the line joining particles 1 and 3. The direction of the force on particle 3 due to particle 2 is along the line joining particles 2 and 3.

To find the net electric force acting on particle 3 due to particles 1 and 2, we can use Coulomb's law, which states that the force between two point charges is given by the equation:

[tex]F = k * (q1 * q2) / r^2[/tex]

where F is the force, k is the Coulomb constant [tex](8.99 x 10^9 N * m^2/C^2)[/tex], q1 and q2 are the charges of the two particles, and r is the distance between the two particles.

In this case, we have three particles placed at the corners of an equilateral triangle, with a side length of 3.1 cm. Since the triangle is equilateral, all three sides are equal in length, so r1 = r2 = 3.1 cm

The net force on particle 3 is the vector sum of the two forces acting on it due to particles 1 and 2.

F3 = F31 + F32 where F31 is the force on particle 3 due to particle 1 and F32 is the force on particle 3 due to particle 2

[tex]F31 = k * (q3 * q1) / r1^2[/tex]

[tex]F32 = k * (q3 * q2) / r2^2[/tex]

[tex]F31 = 8.99 x 10^9 N * m^2/C^2 * (8.0 nC * -8.4 nC) / (3.1 cm)^2[/tex]

[tex]F32 = 8.99 x 10^9 N * m^2/C^2 * (8.0 nC * -16.8 nC) / (3.1 cm)^2[/tex]

[tex]F31 = -9.52 * 10^{-4 N}[/tex]

[tex]F32 = -1.93 * 10^{-3 N}[/tex]

[tex]F3 = F31 + F32 = -2.88 * 10^{-3 N}[/tex]

After solving, The net force = 79.1°

The direction of the force on particle 3 due to particle 1 is along the line joining particles 1 and 3. The direction of the force on particle 3 due to particle 2 is along the line joining particles 2 and 3.

The angle between those two forces is 120 degrees (because the triangle is equilateral) so the net force on particle 3 is the vector sum of the two forces

2. Particle 3 will move in the direction of the net force acting on it, which is the vector sum of the two forces acting on it due to particles 1 and 2.

Since the net force is [tex]-2.88 * 10^{-3 N}[/tex], and the angle between the direction of the forces on particle 3 due to particles 1 and 2 is 120 degrees, particle 3 will move in the direction of the angle bisector of the angle between those two forces.

The angle bisector of 120 degrees is 60 degrees, thus the net force is acting on particle 3 at 60 degrees with respect to the positive x-axis.

The instant after being released, particle 3 will move in the direction of the net force vector and it will have a velocity vector pointing in the same direction as the net force.

To learn more about net force:

https://brainly.com/question/14361879

#SPJ4

During Stanford University's "Search for Isolated Fractionally Charged Particles," more than 100 million more oil droplets were measured, hence option A is correct.

Theoretically, every charge must be a multiple of the charge of an elementary particle or an electron.

Similar automated equipment to that of Millikan and Fletcher was employed. No droplet with a fractional charge was discovered.

Therefore, even if the quantity used today for the elementary charge differs slightly from what Millikan and Fletcher measured, it is generally agreed that all charge is made up of multiples of the elementary charge.

Learn more about Millikan and Fletcher, here:

https://brainly.com/question/14619441

#SPJ1

Near the equator, energy is more readily emitted than absorbed. Near the poles, energy is mostly absorbed rather than radiated. In depth ocean currents, energy is transported from the equator to the poles.

Energy is described as the capacity to apply a force sufficient to move an object, or the capacity to "accomplish work." Despite the vagueness of the definition, the concept is actually quite straightforward: electricity simply denotes the force that drives objects. Potential energy falls into two distinct kinds.

The ability to work is the most fundamental definition of energy. Energy is what moves and transforms things. It is many in shape and is found everywhere. Food preparation demands energy.

To know more about Energy visit:

https://brainly.com/question/1932868

#SPJ4

When a softball is thrown from an 80-meter-high building at a velocity of 10 meters per second, the height after t seconds is 148 feet.

Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number.

Here,

The maximum height the ball will reach is the vertex of the parabola s(t)=48+80t-16t2. first, we need to solve for t. The vertex of any parabola of the form f(x)=ax2+bx+c is found by using x=-b/2a. In this case, x=t, b=80 and a=-16. Substituting we get:

]t=-80/((2)(-16)--->t=-80/-32--->t=5/2

Putting this value of t in the original formula will give us the maximum height:

s(t)=48+80t-16t2

s(5/2)=48+80(5/2)-16(5/2)2

s(5/2)=48+200-16(25/4)

s(5/2)=248-100

smax=148 feet

It's height, in meters, after t seconds is 148 feet when softball is thrown off of a building that is 80 meters high at a velocity of 10 meters per second.

To know more about velocity,

https://brainly.com/question/13262345

#SPJ4

The two methods most commonly used to limit the effects of indirectly transmitted x-ray photons are shielding and filtration.

Shielding is the process of placing materials between the x-ray source and the patient that absorb the x-ray photons, thus reducing the amount of radiation that reaches the patient. Common shielding materials include lead, tungsten, and concrete.

Filtration, on the other hand, involves the use of filters to reduce the energy of the x-ray beam by absorbing some of the lower-energy x-ray photons. These filters can be made of materials such as aluminum, copper, or polyethylene.

Both methods are effective at reducing the amount of radiation that reaches the patient and are used in combination to provide the greatest protection.

Learn more about filtration:

https://brainly.com/question/26104477

#SPJ4