A disc rotates about a fixed axis with an initial angular velocity of 5.0 rad/s counterclockwise. Upon completing 2 revolutions, the disc has an angular velocity of 2.5 rad/s.
(a) Find the angular acceleration of the disc. (Ans : -0.75 rad/s2 )
(b) Calculate the time taken by the disc to complete the 2 revolutions. (Ans : 3.33 s)
(c) If the disc maintains the same constant angular acceleration until it reaches 2.5 rad/s clockwise, sketch the graph of angular velocity versus time from 5.0 rad/s counterclockwise to 2.5 rad/s clockwise.

Answer:16

Explanation:

as F=BIL so by placing value's B is magnetic field 4 and i is current 2A and l is length that js 2 m so answer is

Given: i=10A,B=0.15 T,θ=45

∘

and l=2 m

Force on a current carrying wire of finite length =

F

=l(

i

×

B

)

Hence, magnitude of force, F=Bilsinθ

=0.15×10×2×sin45

∘

=

2

3

N

The magnitude of the frictional force that must be overcome is 42.04 N.

The magnitude of the frictional force that must be overcome is calculated by applying Newton's second law of motion as follows;

Mathematically, the formula for the frictional force is given as;

F = μmg

where;

The magnitude of the frictional force that must be overcome is calculated as;

F = 0.39 x 11 kg  x  9.8 m/s²

F = 42.04 N

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Answer:

The concentrations of the reactants and the products. The temperature of the system. The partial pressures of the gases involved (if any)

Explanation:

The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.

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A cell phone more likely to break when dropped from a higher height than a lower one because it has more potential energy at high height.

Potential energy is the energy stored by an object as a result of its position relative to other objects, internal tensions, electric charge, or other reasons.

Potential energy is commonly defined as an object's gravitational potential energy, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The joule is the SI unit of energy.

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word potential energy was coined by the 19th-century Scottish engineer and physicist William Rankine.

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Answer:

Horizontal component of pull = (cos 55 x 33.9) = 19.4N.

Net horizontal force = (19.4 - 14.2) = 5.2N.

Work = (fd) = (5.2 x 13.5) = 70.2 Joules.

Rounded to 1 decimal place throughout.

Explanation:

The total work done on the vacuum is 70.2 J.

What is work done?

Work done is equal to product of force applied and distance moved.

Work = Force x Distance

Given is a custodian pulls a vacuum 13.5 m with a 33.9 N force at a 55.0° angle, against a 14.2 N friction force.

Horizontal component of pull = (cos 55 x 33.9) = 19.4N.

Net horizontal force = (19.4 - 14.2) = 5.2N.

Work done by vacuum will be

Work =5.2 x 13.5

Work =70.2 J

Thus, the total work done on the vacuum is 70.2 J.

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Answer:

Whenever one body exerts a force on a second body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts

Explanation:

Answer: According to Khan Academy "Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.

Explanation: This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself. We sometimes refer to this law loosely as action-reaction, where the force exerted is the action and the force experienced as a consequence is the reaction.

We can readily see Newton’s third law at work by taking a look at how people move about. Consider a swimmer pushing off from the side of a pool, as illustrated below.

A swimmer pushes on the wall with her feet, which causes the wall to push back on her feet due to Newton's third law."

Hope this helps ^_^ and have a great day

The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.

Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.

There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider

On the number line, we can see the movement as follows

1 0 -1 -2 -3= 4km

Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.

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Answer:

The unit is the barn, which is equal to 10-28 m^2 or 10-24 cm^2

Explanation:

The standard unit for measuring a nuclear cross section (denoted as σ)

Answer:analize a afirmacao a seguir e tudo que envolve o gerenciamento da marca e que ultrapassa as acoes com objetivos economicos e refere se a cultura principios e valores

Explanation:

Answer: 12,339

Explanation:

Explanation:

Potential Energy = m g h

400 J   =  8 kg  * 9.81 m/s^2  * h

400 / (8 *9.81) = h = 5.1 m

The equation "Force = Mass x Acceleration" represents Newton's second law of motion. This law states that the force acting on an object is directly proportional to its mass and the acceleration it experiences. It can be mathematically expressed as F = ma, where F is the force, m is the mass of the object, and a is the acceleration.

The number of times times larger is the United States water consumption PER PERSON compared to the World water consumption PER PERSON is 100 to 175 gallons of water

Every day, the average American uses 100 to 175 gallons of water. We use almost 4 trillion cubic meters of freshwater annually on a global scale! In some areas, agriculture can use up to 90% of the available freshwater.

Although the water resources in the United States are enormous, they are not limitless. Given that the average American's water footprint, or the total amount of water consumed directly and indirectly, is about twice that of the rest of the world, it is extremely important to save and safeguard this water.

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Answer:

the brain's size-distance mechanism changes its perceived size and makes the moon appear very large.

Explanation:

the moon is changing its apparent position in depth while the light stimulus remains constant

Answer:

The form of energy that can move from place to place across the universe is electromagnetic energy.

Electromagnetic energy is a form of energy that is produced by the movement of electrically charged particles. It is characterized by its wavelength or frequency and can range from gamma rays, X-rays, ultraviolet (UV) rays, visible light, infrared radiation, microwaves, to radio waves.

Answer:

2.1 m/s

Explanation:

According to law of conservation of momentum;

m1u1 + m2u2 = (m1+m2)v

m1 and m2 are the masses

u1 and u2 are the initial velocities

v is the common velocity

Given

m1 = 2150kg

m2 = 3250kg

u1 = 10.0m/s

u2 = ?

v = 5.22m/s

Substitute and get u2

2150(10) + 3250u2 = (2150+3250)5.22

21,500 + 3250u2 = 5400(5.22)

3250u2 = 28,188 - 21500

3250u2 = 6688

u2 = 6688/3250

u2 = 2.1 m/s

Hence the 3250 kg car’s initial velocity has an initial velocity of  2.1 m/s

the expression for diffraction grating allows to find the results for the questions for the angular separation are:

i) The third order is Δθ = 0.203 rad.

ii) The first order with water is Δθ = 0.046 rad.

The diffraction grating is a system formed by a large number of equally spaced lines whose diffraction is given by the expression.

          d sin θ = m λ

Where d is the distance between two lines, θ is the angle of diffraction, the order of diffraction and λ is the wavelength.

i) Let's start by looking for the separation between two lines

Let's use a rule of direct proportions. If there are 300 lines in 1 mm, what distance is there between two lines.

         d = 1 lines (1 mm / 300 lines) = 3,333 10⁻³ mm

         d = 3.333 10⁻⁶ m

Let's find the angle of diffraction for the third order (m = 3) for each wavelength.

λ₁ = 400 nm = 400 10⁻⁹ m

         sin θ₁ = \(\frac{m \ \lambda }{d}\)m λ/ d

         sin θ₁ = \(\frac{3 \ 400 \ 10^{-9} }{3.333 \ 10^{-6} }\)  

         θ₁ = sin⁻¹ 0.3600

         θ₁ = 0.368 rad

λ₂ = 600 nm = 600 10⁻⁹ m

         sin θ₂ = \(\frac{3 \ 600 \ 10^{-9} }{3.333 \ 10^{-6} }\)  

         θ₂ = sin⁻¹ 0.5401

         θ₂ = 0.571 rad

The angular separation is

         Δθ = θ₂ - θ₁

         Δθ = 0.571 - 0.368

         Δθ = 0.203 rad

ii) In this case, the separation between the network and the observation screen is filled with water.

When the rays leave the network they undergo a refraction process, for which they must comply with the relationship.

           \(n_i \ sin \theta_1 = n_r \ sin \theta_r\)

The incident side is in the air, therefore its refractive index is n_i = 1 and when it passes into the water with refractive index n_r = 1.33.

Let's start looking for the incident angles for the first order of diffraction.

      m = 1

λ₁ = 400 nm

         θ₁ = sin⁻¹  \(\frac{1 \ 400 \ 10^{-9}}{3.33 \ 10^{-6}}\)

         θ₁ = 0.120 rad

λ₂ = 600 nm

        θ₂ = sin⁻¹¹ \(\frac{1 \ 600 \ 10^{-9} }{3.33 \ 10^{-6}}\)

        θ₂ = 0.181 rad

we use the equation of refraction.

         \(\theta_r\)  = sin⁻¹ (\(\frac{n_i}{n_r} \ sin \ \theta_i\) )

λ₁ = 400 nm  

       θ₁ = sin¹ (\(\frac{1 sin 0.120}{1.33}\)

       θ₁ = 0.090 rad

λ₂ = 600 nm

        θ₂ =sin⁻¹  \(\frac{1 sin 0.181}{1.33}\)

        θ₂ = 0.1358 rad

The angular separation is

          Δθ = 0.1358 - 0.090

          Δθ = 0.046 rad.

In conclusion using the relation for the diffraction grating we can find the results for the questions about angular separation are:

       i) The third order is Δθ = 0.203 rad.

      ii) The first order with water is Δθ = 0.046 rad.

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ANSWER

3.65 m

EXPLANATION

Given:

• The proper length of the car, L₀ = 8.0 m

• The speed of the car, v = 0.89c

Find:

• The contracted length of the car, L

The length contraction of an object, which is the shortening of the actual length of the object when it is moving relative to the observer's frame, is given by the equation,

Replace the known values and solve,

Hence, the contracted length of the car is 3.65 m, rounded to the nearest hundredth.

The amount of friction depends on the force pushing the surfaces together. If this force increases, the hills and valleys of the surfaces can come into closer contact. The close contact increases the friction between the surfaces.

Given

Solar radiation at the top of the atmosphere,

Solar radiation at the bottom of the atmosphere,

Solar radiation absorbed by the atmosphere is

The time, t=24 hr=24x60x60 s

Specific heat,

The radius of the earth,

The length with the atmosphere,

To find

Determine how much the temperature would increase in the atmosphere by the absorption of the solar radiation

Explanation

Volume of the atmosphere,

Now,

Mass

Thus the change in temperature is

Conclusion

The change in temperature is

Answer:

the gravitational force decreases

Energy is a fundamental concept in physics that represents the ability or capacity of a system to do work.

It is a scalar quantity, meaning it has magnitude but no specific direction. Energy exists in various forms and can be converted from one form to another. The characteristics of energy include:

1. Forms of Energy: Energy can exist in different forms such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (heat), chemical energy, electrical energy, and many more.

2. Conservation of Energy: The law of conservation of energy states that energy cannot be created or destroyed; it can only be transformed from one form to another. The total amount of energy in a closed system remains constant.

3. Transfer and Conversion: Energy can be transferred from one object to another or converted from one form to another. For example, electrical energy can be converted into light energy in a light bulb.

4. Units of Measurement: Energy is typically measured in joules (J) in the International System of Units (SI). Other common units include kilowatt-hours (kWh) for larger quantities of energy and calories (cal) for thermal energy.

5. Energy and Work: Energy is closely related to the concept of work. When work is done on an object, energy is transferred to it or from it, resulting in a change in its energy state.

Understanding the nature and characteristics of energy is crucial in various fields, including physics, engineering, and environmental science, as it plays a central role in explaining and analyzing various phenomena and processes.

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Answer:

The temperature rises because for a given volume of gas, a rise pressure of the gas in pressure results in a proportionate rise in the temperature of the gas

Similarly when the handle is raised to draw air causes a fall in pressure that results in proportionate fall in temperature, for a given volume of gas

Explanation:

From Gay-Lussac's law, states that the pressure of a given mass of gas is directly proportional to its Kelvin temperature, provided that the volume is held constant

Mathematically, the law states that Pressure ∝  Temperature, at constant Volume

Therefore;

P₁/T₁ = P₂/T₂

Similarly, by kinetic theory of gases, we have;

The

\(P = \dfrac{n \cdot MW \cdot v_{rms}^2}{3 \cdot V}\)

\(v_{rms} = \sqrt{\dfrac{3 \cdot R \cdot T}{MW} }\)

Therefore, as in order for the hand pump to inflate the bicycle tires, the air in the pump has to be compressed to force it into the tire, thereby increasing the pressure, of the air in a given volume of the pump which results in the raising of the temperature of the air in the pump, which raises the temperature of the wall of the pump.

The temperature of the air in the pump also falls as the pressure in the pump is reduced by raising the pump handle, to reduce the air pressure inside the pump and and allow air to be taken into the pump.

Answer:

Depends on position

Explanation:

Rest:

A body is said to be at rest, if it does not change its position with respect to its surroundings.

Motion:

A body is said to be in motion, if it changes its position with respect to its surroundings.

The state of rest and motion is relative

The time the wheel would take for the disk with twice the radius and twice the mass to come to a stop would be 480 seconds.

This is because the moment of inertia, which is the measure of an object's resistance to changes in its rotation rate, depends on both the mass and the radius of the disk. Specifically, the moment of inertia of a solid disk is given by

I = 1/2 * mass * radius^2.

Since the disk in question has twice the mass and twice the radius, its moment of inertia will be 8 times greater than the original disk. This means that it will take 8 times longer for the disk to come to a stop under the same frictional force.

Therefore, the time it would take for the disk with twice the radius and twice the mass to come to a stop is 8 * 60 seconds = 480 seconds.

Therefore, the time the wheel would take to come to a stop from the same initial rotational speed If the disk had twice the radius and twice the mass is 480 seconds.

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For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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