An Atwood machine is constructed using two wheels (with the masses concentrated at the rims). The left wheel has a mass of 1.9 kg and radius 20.81 cm. The right wheel has a mass of 2.4 kg and radius 28.8 cm. The hanging mass on the left is 2 kg and on the right 1.39 kg.
What is the acceleration of the hanging
mass on the left? Use down as the positive direction. The acceleration of gravity is
9.8 m/s².
Answer in units of m/s²

Answer:

b.A new battery is developed, requiring the mining of non-renewable metals.

Option B. A new battery is developed, requiring the ,mining of non -renewable metals is the example of resource depletion due to technology.

when the consumption of non renewable  and renewable resources for energy, electronic goods, industry good etc purposes. At a fast pace where these resources doesn't get enough time to replenished.

New battery is developed at faster pace and the raw material obtained for the production by mining of earths core.  Natural resources are  depleted as not enough time is given to earth to make new one.

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The magnitude in simple way defined as "distance or quantity." In the sense of motion, it depicts the absolute or relative direction or size in which an object moves. It is used to describe the scope or size of something.

A quantity's magnitude is a number that indicates how large or small a measurement of that quantity is in comparison to a specified reference value (that reference value is most of the time taken to be zero). Magnitude is defined in physics as the maximum extent of size and direction of an object. Magnitude is simply a numerical value, whereas intensity conveys the concept of impact. In physics, it's generally refers to distance or quantity.

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To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination.

To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination. Manually graph the provided equations and discover the point(s) that they all cross to solve a system. The coordinate of just this point will provide you with the values for exact variables you are attempting to solve for.

There are four methods for resolving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of either equation will remain equal if simply add the same integer to both sides. Both sides of either equation would remain equal when we deduct the same integer from both sides.

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The average force exerted on the ball during the collision is 5.3 Newtons.

Force is a concept in physics that describes the interaction between two bodies. It is a vector quantity, meaning it has both a magnitude (amount of force) and a direction. Force can cause a change in an object's shape, speed, and direction of motion. Examples of forces include gravity, friction, tension, and electromagnetic forces. Forces can be used to push, pull, twist, and bend objects. Force is measured in newtons (N), and is the product of mass and acceleration. Force is an essential part of understanding the universe and how objects interact with each other.

Momentum is defined as mass multiplied by velocity,
and thus the initial momentum of the ball is 0.2 kg x 34 m/s = 6.8 kg m/s. After the collision, the momentum of the ball is 0.2 kg x 26 m/s = 5.2 kg m/s.
Thus, the change in momentum is 6.8 kg m/s - 5.2 kg m/s = 1.6 kg m/s.
The average force exerted on the ball during the collision can be calculated by dividing the change in momentum by the time of the collision:
Average force = 1.6 kg m/s / 0.3 s = 5.3 N.
This means that the average force exerted on the ball during the collision is 5.3 Newtons.

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SE service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes is true.

A conductor is a material or device that allows electricity to flow freely through it. It is typically a highly conductive material such as copper, aluminum or silver. Conductors are essential components of most electrical circuits and devices, and serve to connect different parts of an electrical system. As electricity flows through a conductor, it encounters resistance, which is the opposition to the flow of electricity through the material. The amount of resistance in a conductor depends on the material it is made of, its length, and its cross-sectional area.

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Answer:

C

Explanation:

C is the usual case

The car will travel around 4.13 miles in 5 minutes

Explain distance.

The term "distance" refers to the size or magnitude of the difference between two positions. The distance between two positions and the distance traveled between them are not the same thing, it should be noted. The distance traveled is the total length of a path that connects two points.

The speed will be: Given that the car travels at a constant speed, 258 miles are covered in 312 minutes,

Distance/Time x Speed

Speed = 258/312

Speed = 0.827

The distance, d, that the car travels in m minutes will therefore be represented by the following equation:

Distance equals 0.827 x 5.

= 4.135 miles away

=  about 4.13 miles in 5 minutes

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kg ms-1 is the Si derived unit for momentum. The external force net is equal to the shift in momentum of a, according to Newton's second motion law in terms of momentum.

Momentum is a vector number since it has both direction and magnitude. Newton seconds, abbreviated N s, or kg m s 1 are the units of momentum. To differentiate it from rotational momentum, this is frequently referred to it as linear momentum.

Therefor, the Newton-second can also be used as the SI unit by momentum in physics (Ns). In the CGS system, an object's mass is calculated in grams, and its velocity is calculated in centimeters per second. Consequently, the momentum unit.

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(a)  the force of kinetic friction in case 1 is equal to the force of kinetic friction in case 2. (b) because the normal force is the same in the two cases, and friction is independent of surface area.

Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is concerning as static friction. Kinetic friction is friction that occurs when two systems are in contact and moving about one another.

There are just two variables that affect the kinetic friction force acting on a moving object: the normal force and the coefficient of friction between the two surfaces.

Motion is constantly resisted by kinetic friction. As a result, it always behaves in the opposite direction of motion and is therefore negative with regard to the surface.

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Answer : Gretchen's rate of speed is 72.5 kilometers per hour.

What is the distance?

-- Distance is defined as the product of speed and time.

-- Since there are 3600 seconds in an hour, we can divide the time it takes -- Gretchen to travel 5500 meters by 3600 to find the number of hours it takes her:

⇒ 275 seconds / 3600 seconds/hour = 0.0763888889 hours.

Next, we need to convert the distance she travels to kilometers.

-- Since there are 1000 meters in a kilometer, we can divide the distance Gretchen travels by 1000 to find the number of kilometers she travels:

⇒ 5500 meters / 1000 meters/kilometer = 5.5 kilometers.

Now that we have the distance Gretchen travels and the time it takes her to travel that distance in the appropriate units, we can divide the distance by the time to find her rate of speed in kilometers per hour:

⇒ 5.5 kilometers / 0.0763888889 hours = 72.5 kilometers/hour.

Thus, Gretchen's rate of speed is 72.5 kilometers per hour.

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Yes, it is possible to draw a Gaussian surface to compute the electric field around a charged dipole.

To do so, draw a closed surface that encloses the charges of the dipole and apply Gauss' Law. This will allow you to calculate the electric field at any point on the surface.

The Gaussian surface should be chosen so that it encloses both charges from the dipole, and should be large enough to ensure that the electric field is uniform across the surface. The electric field can then be calculated by using Gauss' Law, which states that the total electric flux through the surface must be equal to the charge enclosed by the surface divided by the permittivity of free space.

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A meter is the metric system's standard unit of length (m). One meter (m) is divided into 100 equal centimeters (cm).

The International System of Units, abbreviated SI in all languages and sometimes pneumatically as the SI system, is the modern version of the metric system and the world's most widely used measurement system. The SI is a coherent system of measurement that begins with seven base units: the second (symbol s, the unit of time), the metre (m, length), the kilogram (kg, mass), the ampere (A, electric current), the kelvin (K, thermodynamic temperature), the mole (mol, amount of substance), and the candela (cd, luminous intensity). These are widely accepted and followed around the world. The SI unit for mass is kilogram, the SI unit for length is meter, and the SI unit for time is second.

Here,

A meter is the standard unit of length in the metric system (m). One meter (m) is equal to 100 centimeters (cm).

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The highest energy is the light with a short wavelength. Red has the least value since it has the shorter wavelengths of all visible light. Violet light has the shortest wavelength of all visible light, giving it the most energy. The longest wavelength and lowest energy are found in radio waves.

Mass is a scalar quantity, which means it is a physical quantity that has only magnitude and no direction.

Unlike vector quantities, such as velocity or acceleration, scalar quantities do not have a direction associated with them. Mass is a measure of the amount of matter in an object and it is always a positive value, regardless of the direction of the object.

The unit of mass is the kilogram(kg) or pound(lb) etc. It is an important physical quantity in physics and is used to calculate the weight of an object under the influence of gravity and also used to calculate the force required to move an object. It's a scalar quantity because it doesn't have any direction.

It's just a number that represents how much matter is present in an object, as opposed to vector quantities like velocity or acceleration which have both magnitude and direction.

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The rate of change of momentum equals the mass multiplied by the rate of change of velocity. Newton's Second Law may thus be recast as force = rate of change of momentum.

The change in momentum (p) of an object is defined as the change in the product of its mass and velocity. To modify the momentum of an item, a force is necessary. This applied force can change the direction of the item or enhance or reduce its momentum.

The rate of change (ROC) of anything relates to how rapidly it changes over time. It is therefore the speeding up or slowing down of changes.

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Horsepower and RPMs, which are both dependent on measurement or some other method, are used to calculate torque for motors. Use this equation to calculate torque (in ft-lb) for motors: T = rpm/(HP*5252).

Result for an image How can you figure out how much torque is needed to spin a shaf,

To get load torque, divide the pressure (F) by the pulley's radius, which is the distance from the rotating axis (r). The needed torque for the operation is (20 N x 0.05 m = 1.0 Nm if the load's mass (green boxes) is 20 Newtons and the pulley's radius is 5 centimeters distant.

The power that can turn an item about its axis is measured as torque. In linear kinematics, force is what makes an object move faster. Likewise, an angular acceleration is brought on by torque. The rotating counterpart of linear force is thus what torque is.

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The kinetic energy for the object which has a mass m of 10 kg with velocity of 1 m is 5 m/s.

The kinetic energy of an object increases with its mass. v indicates the object's speed. This relationship shows that an object's kinetic energy is inversely proportional to the product of its mass and velocity.

Possible justification: Because kinetic energy and speed have a strong relationship, an object's kinetic energy rises as its speed does. Kinetic energy's nonlinear (square) proportional relationship with speed (KE v2) 1. When an object's speed doubles, its kinetic energy increases by a factor of four. 2.

The kinetic energy decreases by a factor of four as the object's speed is cut in half.

K.E = 1/2 * m * v^2

K.E = 1/2 * 10 * 1^2

K.E = 1/2 * 10

K.E = 5

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The projectiles launch allows to find the answer for the initial velocity of the stone is:  v = 8.49 m / s

Given data :

In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff

          y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

where y and y₀ are the current and initial position,  is the initial vertical velocity, g the acceleration of gravity and t the time

When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 31.2 m

                0 = y₀ + 0 - ½ g t²

                   t =  [tex]\sqrt{\frac{2yo}{g} }[/tex]

Let's calculate

         t = [tex]\sqrt{\frac{2*31.2}{9.8} }[/tex]

         t = 2.52 s

They indicate that the stone fell at a horizontal distance of 21.4 m,

x = [tex]v_{ox}[/tex]t

=    v_{ox} = x / t

     v_{ox}  = 21.4 / 2.52

                 = 8.49 m/s

In conclusion, using the projectiles launch we can find the answer for the initial velocity of the stone is:

           v = 8.49 m/s

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The magnitude isn't always 1. It's +ve or zero. A vector with a -ve sign in front of it has the same magnitude but is pointing in the opposite direction. The - sign is part of the magnitude, not the direction.

A "resultant vector," like all vectors, is neither positive nor negative. It has a magnitude (which is greater than zero) and a direction. Scalars are what "components" are. They are vector projections onto the x and y axes (or other axes). They are not magnitudes because the angle between the vector and the axes can be positive or negative (as you note). The direction of the projection along the axis is indicated by the + or - sign.

"Component vectors" are vectors that add up in the x and y directions to the given vector. They have magnitude and direction because they are vectors, but the only possible directions are +x/-x and +y/-y. They are not +ve or -ve because these terms have no meaning.

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It's important to have a clear understanding of vector sum and trigonometry concepts to be able to determine the magnitude and coordinate direction angles of the resultant force.

The vector sum can be found by adding the vectors head-to-tail, which means that the tail of one vector is placed at the head of the next vector. The vector sum is known as the Resultant force.

To find the magnitude of the resultant force, we use the Pythagorean theorem, which states that the magnitude of the vector is equal to the square root of the sum of the squares of the vector's components. In other words,

|R| = √(Fx^2 + Fy^2 + Fz^2)

To find the direction angles of the resultant force, we use the trigonometric functions. The coordinate direction angles are the angles between the positive x, y, and z-axes and the projection of vector onto the xy, yz, and xz planes.

The angle with the x-axis is arctan(Fy/Fx)

The angle with the y-axis is arctan(Fz/Fx)

The angle with the z-axis is arctan(Fz/Fy)

It's worth noting that these angles are measured in a counterclockwise direction and that these angles are not unique, you can add or subtract multiples of 360° to get the same vector.

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Answer:

The SI unit for torque is the Newton-meter. In imperial units, the Foot-pound is often used.

Explanation:

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The mole, commonly known as mol, is a SI unit used to calculate how many particles are present in a given substance. 6.022*10^23( it's a standard value) atoms or other fundamental building blocks, such as molecules, make up one mole.

One mole of a given chemical is equivalent to 6.022 x 10^23. (such as atoms, molecules, or ions). The mole concept can be used to convert between mass and particle quantity.

The ratio of atomic mass units to grams affects Avogadro's number, or the number in a mole. A mole of hydrogen atoms weighs around one gram in comparison to one hydrogen atom's mass, which is approximately one unit. 6.022 10^23 is referred to as "Avogadro's constant" or "Avogadro's number."

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Four ways of solving an equation are 1) Graphical method 2) Elimination method, 3) Substitution method 4) Cross multiplication method

Graphical method: To solve linear equations graphically, first draw the graph for both equations in the same coordinate graph and locate the intersection point on the graph.

Elimination method: In this method, any of the coefficients is first eliminated by equating. After eliminating the coefficient, the equations are resolved to get the other equation. For example:

3x + 2y = 9 ———–(i)

x – y = 6 ———–(ii)

Here, if equation (ii) is multiplied by 3, the coefficient of “x” will become the equal and can be eliminated.

So, multiply equation (ii) × 3 and then subtract equation (i)

3x + 2y - 9 - 3x-3y-18 = 0

y = -9/5

Now, put the value of y = 1.8 in equation (ii).

So, x – 1.8 = 6

x = 4.2

Substitution method: To solve a linear equation using this method, first, take the value of one variable separately from any of the equations. Then, substitute the value of this variable in the second equation and solve it.

Cross multiplication method: Linear equations can be easily solved using this method. In this technique is used to simplify the solution. Following formula is used for solving 2 variable equation:

x /(b₁ c₂ − b₂ c₁) = y / (c₁ a₂ − c₁ a₁) = 1 /(b₂ a₁− b₁a₂)

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Answer: c

Explanation:

I say "C" because we use technology to communicate over long distances instantly, so we have progressed in making rockets, shoes, health/high gene, etc.

          Technology is a branch of science which enables human life make easier with practical purposes. Technology improve human life in many way.  c,d ,e and f these all  improves human life by technology development.

Computers discovers new life to human life daily activities communication over the great distance , research and acess tons of information at fingertips. Computer has open source and cheap. Airplanes wipes the travel barrier for longer distance. We can travel longer distances with in hours.

Discovery of nearby galaxies gives lot of information about our galaxy shapes and nature of universe. One of best invention in human history is medical diagnostics, which enables human to detect diseases at early stages give better treatment to save life.

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Answer: divide the output force by the input force

Explanation: your welcome

The mechanical advantage which a simple machine provides can be calculated by dividing the output displacement by the input displacement. Thus, the correct option is B.

The mechanical advantage of a simple machine can be defined as the ratio of output force applied on the object to input force. Mechanical advantage is also the ratio of load overcame by a simple machine to the effort which is applied by that machine. The formula for mechanical advantage of a simple machine is given as:

M.A. = output force / input force

M.A. = Load / effort

Thus, the mechanical advantage of a simple machine depends both on the output force of the simple machine and the input force of the machine.

Therefore, the correct option is B.

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The formula FG = mg relates an object's weight (FG) to its mass (m) and the acceleration due to gravity (g). The weight of an object is the force exerted on it by gravity and is measured in newtons (N). The mass of an object is a measure of its inertia, or the amount of matter it contains, and is measured in kilograms (kg). The acceleration due to gravity is a constant value that is approximately 9.8 m/s^2 on the surface of the Earth.

According to the formula, the weight of an object is directly proportional to its mass and the acceleration due to gravity. Therefore, if the mass of an object remains constant, any changes in its weight can only be caused by changes in the acceleration due to gravity.

For example, an object weighs 10 N on the surface of the Earth, but if you take it to a planet where the acceleration due to gravity is less, the weight of the object will decrease, even though its mass remains the same. The same applies to the opposite, If you take the same object to a planet where the acceleration due to gravity is higher, the weight of the object will increase, even though its mass remains the same.

In summary, the formula FG = mg shows that an object's weight is directly proportional to its mass and the acceleration due to gravity. If an object's mass remains constant, any changes in its weight can only be caused by changes in the acceleration due to gravity.

If you are measuring the electrical potential difference from a rectangular 9v battery, you would choose a DC setting.

The correct setting to measure the electrical potential difference from a rectangular 9v battery is the DC volts setting on a multimeter.

This is because the battery produces Direct Current (DC) voltage, which is measured in volts (V).

When using the multimeter, you should ensure that the negative and positive leads are connected to the correct terminals on the battery, and that the multimeter is set to the correct voltage range.

This will ensure accurate readings from the battery.

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Yes, the dimensional formula of work and torque is the same. It depends on the unit of work and torque.

The torque is described as the turning effect of force and is a vector quantity. It is based on the force's strength and the angle at which it is perpendicular to the line of action. The unit of torque is N.m.

Work is described as the force applied over a certain distance.  Work is a mechanical manifestation of energy. The standard unit of work is the joule or N.m.

As the units of both the physical quantities are the same, the dimensional formula is also the same.

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Mass times velocity equals momentum. Consequently, if two items have the same velocity, a lighter one will move at a faster rate

p = mv

p =momentum, m =mass, v =velocity

Almost every action that involves motion has momentum. It is an important tenet of physics. In athletics, the term "momentum" is frequently used. For instance, if a team is moving forward and trying to stop, it will be difficult.

singular nouns Momenta, plural for momentums. force or rate of motion; impulse, as of a tangible thing or sequence of events: Going downward, the automobile picked up speed.

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Material or an item that creates a magnetic area is called a magnet. The domain actually defines the all the attractive and repulsive property of all the magnet.

As per the definition we know that the properties and interaction of magnets are called magnetism.

The force which is created during the attraction and repugnance of magnets towards different magnets or objects is called magnetism. Generally it results because of the existence of the electric field.

It is the most essential effect that causes a shift in the magnetic field that influences the electric field and vice versa.

Hence, magnetism is the property of magnets interacting in the field.

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