find the linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping:

Therefore, the magnitude of the net force on the mower is 134.9 N.

Force is an influence that can cause an object to undergo a change in motion or acceleration. It is a vector quantity, which means it has both magnitude (size or strength) and direction. Force can be measured in units such as newtons (N) or pounds (lbs). It can result from a variety of sources, including gravity, electromagnetic fields, and contact between objects.

Here,

First, we need to resolve the pushing force into horizontal and vertical components.

F_horizontal = 264.8 N * cos(55.0°) = 152.9 N

F_vertical = 264.8 N * sin(55.0°) = 210.7 N

Since the net external force on the mower is horizontal to the right and the force of friction opposes the motion, we can write:

Net force = F_horizontal - f

where f is the force of friction.

Substituting the given values, we get:

Net force = 152.9 N - 18.0 N = 134.9 N

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Answer:

the reading of the balance must decrease

Explanation:

The balance of the span is within a fluid the air, for which it is subjected to the pressure of the same, if we write the equilibrium equation we have

          F_net = B -W - F_armosphere

in this case F_net = 540 N

where the thrust is given by Archimedes' principle which states that the thrust is equal to the weight of the fluid dislodged

          B = ρ g V

in this case the density of the air is

           ρ = 1.1 kg / m³

therefore the value of the thrust is small

the force of the air is

            P = F / A

            F = P A

the air pressure is approximately P = 1 10⁵ Pa

Thus

      B <F_atmosphere

Now we can analyze what happens when we remove the air from the room, the pressure at atmospheric pressure decreases therefore the force of the air decreases, while there is some air the thrust is maintained even when it also decreases since the density of the air decreases when decreasing the Pressure.

Consequently, the reading of the balance changes depending on how the thrust and the air force decreases, in general the air force decreases much faster than the thrust, therefore the reading of the balance must decrease

a) The total surface area of tin G in terms of π is 170π cm².

b) The mass of tin H is 336 g.

To solve the given problem, we need to determine the total surface area of tin G in terms of π and the mass of tin H. Since the mass of an empty cylindrical tin is proportional to its surface area, we can use the given information to find the solutions.

a) Total surface area of tin G in terms of π:

The surface area of a cylinder consists of two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by:

Lateral surface area = 2πrh

where r is the radius of the base and h is the height of the cylinder.

In the case of tin G, the given dimensions are a radius of 5 cm and a height of 12 cm. Substituting these values into the formula, we can calculate the lateral surface area:

Lateral surface area = 2π(5 cm)(12 cm)

Lateral surface area = 120π cm²

Since the total surface area of the cylinder includes the two circular bases as well, we need to add their areas. The area of a circle is given by:

Area of a circle = πr²

The radius of the circular base of tin G is 5 cm, so the area of each circular base is:

Area of each circular base = π(5 cm)²

Area of each circular base = 25π cm²

To find the total surface area of tin G, we sum the lateral surface area and the areas of the two circular bases:

Total surface area of tin G = Lateral surface area + 2 × Area of each circular base

Total surface area of tin G = 120π cm² + 2 × 25π cm²

Total surface area of tin G = 120π cm² + 50π cm²

Total surface area of tin G = 170π cm²

Therefore, the total surface area of tin G in terms of π is 170π cm².

b) Mass of tin H:

We are given that the surface area of tin H is 792π cm². We can assume that the same proportionality factor applies as in tin G, so we can set up the following proportion:

(surface area of tin G) / (mass of tin G) = (surface area of tin H) / (mass of tin H)

Using the given values, we have:

(170π cm²) / (72 g) = (792π cm²) / (mass of tin H)

Cross-multiplying and solving for the mass of tin H, we get:

(170π cm²) × (mass of tin H) = (72 g) × (792π cm²)

mass of tin H = (72 g) × (792π cm²) / (170π cm²)

mass of tin H = 336 g

Therefore, the mass of tin H is 336 g.

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Answer:

A

Explanation:

The height that will illustrate the distance will be d = 6.36m

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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Answer:

\(f=1.98\times 10^7\ Hz\)

Explanation:

Given that,

The radius of circle, r = 0.53 m

The magnitude of the magnetic field, B = 1.3 T

We need to find the oscillator frequency. It is given by :

\(f=\dfrac{qB}{2\pi m}\)

Put all the values,

\(f=\dfrac{1.6\times 10^{-19}\times 1.3}{2\pi \times 1.67\times 10^{-27}}\\\\f=1.98\times 10^7\ Hz\)

So, the oscillator frequency is \(1.98\times 10^7\ Hz\).

The carbon has a mass of 3.0 g and a volume of 10 cm³. So we will calculate the density. The formula to calculate its density is:

d = m/v

We substitute the data in the formula and solve:

d = 3.0 g/10 cm³

d = 0.3 g/cm³

Therefore the density of the carbon sample is 0.3 g/cm³. Opction "A".

Approximately 0.123 kg of liquid water at 26 degrees Celsius would be needed to melt 41 grams of ice.

To calculate the minimum amount of liquid water required to melt 41 grams of ice at 0°C, we need to consider the energy required for the phase change from solid to liquid, which is known as the specific heat of fusion of ice.

The energy required to melt 1 kg of ice is 3.33×105 J/kg.

Therefore, the energy required to melt 41 grams of ice is (3.33×105 J/kg) × (41/1000) kg = 13653 J.

To calculate the amount of liquid water required, we use the specific heat capacity of water, which is 4180 J/kg/°C.

Assuming the initial temperature of water is 26°C, the amount of water needed can be calculated as (13653 J) ÷ (4180 J/kg/°C) ÷ (26°C) = 0.123 kg or approximately 123 ml of water.

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Answer:

If this is Pre-Algebra or Algebra.

Arithmetic mean (average) = Sum of values/Number of values.

Explanation:

Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

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It is possible that students may have misunderstood the information taught by Ms. Kontos about human vision due to various factors such as prior knowledge, attention, motivation, and the way the information was presented.

To improve on this lesson and help students gain a more accurate understanding of human vision, two strategies based on contemporary principles and theories of learning and cognition are:

Incorporating visual aids and hands-on activities: By using visual aids such as diagrams, videos, and animations, students can better understand the complex processes involved in human vision. Hands-on activities such as creating simple models or simulations of the eye can also help students connect what they have learned to real-life situations.

Encouraging metacognition: Encouraging students to think about their own thinking processes, or metacognition, can help them understand their own learning style and identify areas where they need further clarification. By encouraging students to ask questions, discuss what they have learned, and reflect on their own understanding, they can build a more accurate understanding of the topic.

These strategies can help students gain a deeper and more accurate understanding of human vision and improve their learning outcomes.

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The final area of the plate is 4.0000352 \(m^2\) if the temperature raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7.

Expecting that the plate of iron is rectangular, we can involve the recipe for warm extension of solids to compute the last region of the plate. The equation for direct warm development is given by ΔL = αLΔT, where ΔL is the adjustment of length, α is the coefficient of straight extension, L is the first length, and ΔT is the adjustment of temperature.

Since the region of the plate is given by A = L*W, where L is the length and W is the width, we can involve the equation for straight warm extension to compute the adjustment of length of the plate and afterward use it to compute the last region.

ΔL = αLΔT = \((1.1 x 10^-7 m/oC)(2 m)(80 oC) = 1.76 x 10^-5 m\)

The last length of the plate is L + ΔL = 2 m + 1.76 x \(10^-5\) m = 2.0000176 m (approx.)

The last width of the plate is thought to be unaltered as it isn't impacted by the adjustment of temperature.

Thusly, the last region of the plate is A = L*W = (2.0000176 m)(2 m) = 4.0000352 \(m^2\) (approx.)

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Energy is that which has the ability to cause change in matter.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

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Answer:

C. They allow light to pass only if their directions of polarizations are exactly 90° apart.

Explanation:

If two polarizers are placed in a straight line, one behind the other, they allow light to pass only if their directions of polarizations are exactly 90° apart.

Answer:

A. It must stay the same, but kinetic energy (KE) can be transformed to PE and PE can be transformed to KE within the system.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Potential energy (PE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Furthermore, the total energy of a physical object or body is the sum of the potential energy and kinetic energy possessed by the object or body.

Mathematically, it is given by the formula;

Total energy = P.E + K.E

The Law of Conservation of Energy states that energy cannot be destroyed but can only be transformed or converted from one form to another.

In this scenario, a system has both potential energy (PE) and kinetic energy (KE).

According to the law of conservation of energy, we can infer or deduce that the total energy of the system must stay the same because it cannot be destroyed, but kinetic energy (KE) can be transformed to potential energy (PE) and potential energy (PE) can be transformed to kinetic energy (KE) within the system.

When the pressure (100 N) and weight (40 kg) are entered into the appropriate fields, the gravity is 2 m/s².

Force and acceleration are linked by the equation F=ma. The characters "F," "m," and "a" stand for acceleration, mass, and force, respectively. Force is the ability of one object to exert a pull or force on another. Acceleration is the rate at which an object's speed changes.

Speed increase is the pace of progress of speed. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.

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1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

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Answer:

lets go brandon!

Explanation:

Answer:

Explanation:

Energy is the capacity to do work. It exist in various forms which can be converted or transformed from one form into another. Examples of energy transformations are:

1. Turning on a light with the switch. (Electrical energy is transformed into light energy)

2. Lighting of a gas cooker. (Chemical energy is converted to heat and light energy)

3. Throwing a stone from a height to the ground. (The kinetic energy of the stone is converted to sound, heat and gravitational potential energy)

4. Turning on an electrical fan. (Electrical energy is converted to mechanical and sound energy)

5. Blaring of siren of an ambulance. (Electrical energy is converted to sound energy)

The correct statement which best describes a magnetic object from among the options above is:

They have many spinning electrons oriented in the same direction that create magnetic fields.

The correct answer choice is option a.

When magnetic material spins its electrons in the same axis in the magnetic field, the force of current which passes through the same direction results in the attraction which exists between the magnetic object and magnetic substance.

So therefore, we can now confirm that when we consider the orientation of electrons of magnetic material in a direction similar to field, it causes attraction.

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Answer:

Explanation:

Initial velocity in y direction Vy = 22.3 m /s

initial acceleration in x direction ax = .203 m /s ²

time of acceleration t = 56.7 s

final velocity in x direction

v  = u + a t

Vx = 0 + .203 x 56.7 = 11.51 m /s

Final velocity in y direction will remain same as initial velocity in y direction = 22.3 m /s because there is no acceleration in y direction .

Magnitude of final velocity

= √ ( Vx² + Vy²)

= √ (22.3² + 11.51² )

= √ ( 497.29 + 132.48)

= 25.1 m /s

Direction of final velocity  from y direction be Ф

TanФ = Vx / Vy = 11.51 / 22.3 = .516

Ф = 27.3° .

To calculate the mass of the block, we need to use the formula:

mass = density x volume

The density of lead is approximately 11.34 grams per cubic centimeter.

The volume of the block is:

30cm x 80cm x 60cm = 144,000 cubic centimeters

Therefore, the mass of the block of lead is:

11.34 g/cm3 x 144,000 cm3 = 1,632,960 grams

So the mass of the block of lead is 1,632,960 grams.

The mass of the block of lead is 1632.96 kg.

To find the mass of a block of lead with dimensions 30 cm by 80 cm by 60 cm, we need to know the density of lead. The density of lead is 11.34 g/cm³. The formula for mass is

mass = density x volume.

The volume of the lead block is 30 cm x 80 cm x 60 cm = 144000 cm³.

Therefore, mass = 11.34 g/cm³ x 144000 cm³ = 1632960 g.

The mass of the block of lead is 1632.96 kg.The mass of a block of lead is determined by the formula

mass = density x volume.

The density of lead is 11.34 g/cm³. The block of lead has dimensions of 30 cm by 80 cm by 60 cm, therefore its volume can be calculated as 30 cm x 80 cm x 60 cm = 144000 cm³.The formula for the mass of an object is

mass = density x volume.

From the provided values, we can calculate the mass of the block of lead as follows:

mass = 11.34 g/cm³ x 144000 cm³ = 1632960 g.Since 1 kg = 1000 g,

we can convert the mass from grams to kilograms by dividing the answer by 1000:

mass = 1632960 g / 1000 = 1632.96 kg.

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Answer:

The induced emf  is  \(\epsilon = 0.1041 \ V\)  

Explanation:

From the question we are told that

   The  radius of the circular loop is  \(r = 9.50 \ cm = 0.095 \ m\)

     The  intensity of the wave is  \(I = 0.0215 \ W/m^2\)

      The wavelength is  \(\lambda = 6.90\ m\)

Generally the intensity is mathematically represented as

         \(I = \frac{ c * B^2 }{ 2 * \mu_o }\)

Here  \(\mu_o\) is the permeability of free space with value  

         \(\mu_o = 4 \pi *10^{-7} N/A^2\)

B is the magnetic field which can be mathematically represented from the equation as

          \(B = \sqrt{ \frac{ 2 * \mu_o * I }{ c} }\)

substituting values

          \(B = \sqrt{ \frac{ 2 * 4\pi *10^{-7} * 0.0215 }{ 3.0*10^{8}} }\)

          \(B = 1.342 *10^{-8} \ T\)

The  area is mathematically represented as

       \(A = \pi r^2\)

substituting values

       \(A = 3.142 * (0.095)^2\)

       \(A = 0.0284\)

The angular velocity is mathematically represented as

        \(w = 2 * \pi * \frac{c}{\lambda }\)

substituting values          

       \(w = 2 * 3.142 * \frac{3.0*10^{8}}{ 6.90 }\)  

        \(w = 2.732 *10^{8} rad \ s^{-1}\)  

Generally the induced emf is mathematically represented as

        \(\epsilon = N * B * A * w * sin (wt )\)

At maximum induced emf  \(sin (wt) = 1\)

    So

         \(\epsilon = N * B * A * w\)

substituting values

         \(\epsilon = 1 * 1.342 *10^{-8} * 0.0284 *2.732 *10^{8}\)  

         \(\epsilon = 0.1041 \ V\)  

The instantaneous velocity of the plate at 250,000 years is 5 mm/year.

The finite velocity of the plate for the entire million-year timespan is 2 mm/year.

The instantaneous velocity is the rate of change of displacement   with time. It measures the velocity at a specific period of time.

The instantaneous velocity of the plate at 250,000 years is 5 mm/year.

The finite velocity of the plate for the entire million-year timespan is calculated as follows;

\(v = \frac{2 \ km}{1 \times 10^6 \ year} = \frac{2 \times 10^6 \ mm}{1 \times 10^6 \ year} = 2 \ mm/year\)

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Answer:

Good Atoms Of Conductors: Copper , Silver, Gold , Aluminum, and Steel

Good Atoms Of Bad Conductors: Glass , Wood , Cork , Cotton Wool, and Air

I hope this helps you :)

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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According to the pavlovian perspective, people who suffer from PTSD are classically conditioned.

This is referred to as post traumatic stress disorder which is a mental disorder from a terrifying incident.

The pavlovian perspective however view this disorder as being a type of classical conditioned one.

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Answer:

2 Pascal (Pa)

Explanation:

Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:

Pressure (P) = Force (F) / Area (A)

Given:

Force exerted by the air inside the balloon (F) = 1 N

Area of the balloon (A) = 0.5 m^2

Plugging in the given values into the formula for pressure, we get:

P = F / A

P = 1 N / 0.5 m^2

Using basic arithmetic, we can calculate the pressure inside the balloon:

P = 2 N/m^2

So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.