What is torque per unit moment of inertia?.

The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).

A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.

A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.

On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.

Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.

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The light source and aperture are most important in determining the resolution of the microscope, as the resolution of the microscope is determined by the cone of light entering the lens, the refractive index, and the wavelength of the light.

The most important factor in determining the resolution of a microscope is the numerical aperture (NA) of the objective lens. The higher the NA, the higher the resolution. However, other factors also play a role. The numerical aperture of the condenser that forms the beam of light that illuminates the object on the slide should match the numerical aperture of the objective lens (or at least not be much smaller). Another factor is the refractive index of the medium between the objective lens and the slide. For low magnification lenses (low NA) this medium is usually air. Air has a refractive index of 1.0 (for the wavelengths of light used in microscopy).

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The kinetic energy of the merry-go round after 2.5 s is 72.4 J.

The acceleration of the merry go round is calculated from Newton's second law of motion.

F = ma

where;

W = mg

m = W / g

where;

m = ( 779 / 9.8 )

m = 79.5 kg

a = F / m

a = ( 43.1 N ) / ( 79.5 kg )

a = 0.54 m/s²

The velocity of the merry go round after 2.5 seconds is calculated as;

v = at

v = ( 0.54 x 2.5 s )

v = 1.35 m/s

The kinetic energy of the merry go round is calculated as;

K.E = ¹/₂ x 79.5 x 1.35²

K.E = 72.4 J

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A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.

In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.

photo of A description of completely elastic collision

When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.

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A collision that is fully elastic is one where there is no kinetic energy lost during the contact. In an inelastic collision, a proportion of the energy is converted into another kind of energy during the contact.

In elastic collisions, kinetic energy and momentum are both conserved. Consider two similar trolleys that are moving in the same direction at the same pace. With no loss of speed, they collide and bounce off one another. Since no power has been lost, this collision is fully elastic.

photo of A description of completely elastic collision

When a system's maximal quantity of kinetic energy is equal to zero, a relatively inelastic collision takes place.

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A pendulum bob's kinetic energy is greatest at the bottom of the pendulum. If kinetic energy is largest near the bottom of the pendulum, potential energy is lowest there.

An active pendulum has the most kinetic energy at the bottom of its swing when the weight moves fastest. An ideal pendulum system always contains a steady amount of mechanical energy, the sum of kinetic and potential energy.

When the pendulum swings, it moves back and forth between its equilibrium or rest positions. The pendulum has kinetic energy except at the tipping point of the system where the pendulum velocity is zero. Pendulums also have potential energy associated with their height from the equilibrium position.

As the pendulum swings, potential energy changes to kinetic energy, back to potential energy, back to kinetic energy, and so on.

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Newton, There will be mass is 4.080, So acceleration will be equals to 2.50 m per cent in the square.

The crate’s acceleration is 0 since its velocity is constant. As a result, the total of the forces equals zero. Because the forces resist each other, the lifting force must be equal to the weight of the item. The magnitude of the upward force on the container is thus 490.5 Newtons.

The amount of force is expressed as mass times length times time squared. The most common metric unit is the newton (N), which is defined as one kilogram times one meter over one second squared. Magnitude – Distance Formula – used to calculate the connection between apparent magnitude, absolute magnitude, and object distance.

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Answer:

400m/s

Explanation:

Frequency = 250hz

Wavelength = 1.6m

velocity =?

Velocity = Frequency × Wavelength

velocity = 250×1.6

V= 400m/s

Answer:

[tex]a=3.6\frac{m}{s^2}[/tex]

Explanation:

First, use kinematic equation #3: [tex]\Delta x=v_it+\frac{1}{2}at^2[/tex].  For this problem, let

[tex]\Delta x=48m\\v_i=0.0\frac{m}{s}\\t=5.2s[/tex]

Next, rewrite the kinematic equation to solve for acceleration (a):

[tex]a=2(\frac{\Delta x-v_it}{t^2})[/tex]

Last, put in the given values on the right side of the equation for acceleration and solve:

[tex]a=2(\frac{(48m)-[0.0\frac{m}{s}(5.2s)]}{(5.2s)^2})\\a=2(\frac{48m}{27.04s^2})\\a=3.55\frac{m}{s^2}[/tex]

Torque is calculated using the formula, τ = r × F, where, r is the perpendicular distance, F is the force.

It is also described as the cross product of distance vector and force vector. Mathematically, τ = r × F = r F sinθ, where, θ is the angle between r and F.

For example, a force is applied to a particle free to rotate about a fixed axis. Force is shown divided into perpendicular and parallel components. Torque is pointed outward from the page and has the magnitude

τ = r F sinθ

Newton-meters, sometimes known as N.m, are the SI units for torque. Although these units are the same as joules, torque isn't considered to be work or energy, therefore N.m should be used instead.

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Magnitude of vector is always positive, because a minus sign in a vector only indicates direction, not magnitude.

A quantity's measurement or its absolute value is referred to as its magnitude. A positive real number is used to represent the magnitude of an object. To put it another way, the magnitude of a quantity is just its size. You can't have a negative magnitude. It refers to the portion of the vector that does not point in any particular direction (positive or negative). For the formula to work, the values inside the summation must be squared, turning them into positive numbers.

Example:

∥a∥ = √ (-2²) + (-3²)

∥a∥ = √ 25

∥a∥ = 5

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A automobile with a mass of 1000 kg and a speed of 30 m/s has kinetic energy equal 450,000 J.

If an object's mass increases, so will its kinetic energy. The object's speed is given by v. The aforementioned connection demonstrates that an object's kinetic energy is directly proportional to the sum of its mass and velocity.

Possible explanation: Because kinetic energy and speed are closely correlated, an object's kinetic energy increases as its speed increases. The nonlinear (square) proportional relationship (KE v2) between kinetic energy and speed 1. As an object's speed doubles, its kinetic energy grows four times. 2. As the object's speed is halved, the kinetic energy falls by a factor of four.

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

K.E= 1/2* 1000* 30^2

K.E = 450,000 J

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The Tenth Amendment to the Constitution states that "The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the states or to the people." This amendment is a source of law that limits the powers of the federal government and reserves certain powers to the states or the people. It is a principle of federalism, which divides the power between the federal government and the state governments. The powers that are not delegated to the federal government are left to the states or the people to decide.

The specific heat capacity of the metal is 0.17 J/g*C.

To determine the specific heat capacity of the metal, we can use the formula:

Q = mcΔT

Where Q is the heat absorbed or released, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

We know that the heat absorbed by the metal is equal to the heat lost by the water:

Qmetal = Qwater

We know the mass of the water, the initial and final temperature of the water, and the mass of the metal and the initial and final temperature of the metal. We can use this information to calculate the heat absorbed by the water and the heat absorbed by the metal.

Qwater = mwater * cwater * ΔTwater

Qmetal = mmetal * cmetal * ΔTmetal

We know that the heat absorbed by the metal is equal to the heat lost by the water, so we can set the two equations equal to each other:

mwater * cwater * ΔTwater = mmetal * cmetal * ΔTmetal

And we know that the specific heat of water is 4.18 J/g*C and the mass and the initial and final temperature of the water and the mass and the initial and final temperature of the metal

cmetal = mwater * cwater * ΔTwater / mmetal * ΔTmetal

cmetal = (140.0 g * 4.18 J/gC * (24.6 - 25.0)°C ) / (120.9 g * (24.6 - 100)) = 0.17 J/gC

So the specific heat capacity of the metal is 0.17 J/g*C.

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The two factors upon which torque depends are the magnitude of force and the perpendicular distance from the point to the line of action of force.

It is also called as moment of force. The standard units of torque are N.m.

Mathematically, torque is written as, τ = r × F.

where, τ is torque, r is perpendicular distance, F is force.

Three factors affect how much torque a rigid body produces. the applied force, the vector of the lever arm that connects the torque measurement point to the application point of the force, and the angle formed by these vectors. τ = r F sinθ  

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Relative Centrifugal Force or g force is calculate with the formula-

g force (RCF)= (RPM)² x 1.118 x 10⁻⁵ x r where, r is the radius .

The relative centrifugal force, or g force, is the radial force generated by the spinning rotor in relation to the gravitational force of the Earth. The g force acting on particles is proportional to the rotational speed measured in revolutions per minute (RPM).

Increasing the rotational speed by a factor of four increases the centrifugal force. The centrifugal force increases with distance from the axis of rotation. When choosing the right centrifuge, these two parameters are crucial.

The RCF or g force is proportional to the rotational speed in RPM and the particle distance from the centre of rotation. When the rotational speed is given in RPM and the distance (r) is given in centimetres.

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change in momentum during this time is 2166.71 kg m/s.

To find the change in momentum during this time, we can use the equation for momentum, which is:

momentum = mass x velocity

We can also use the equation for acceleration:

       a = (vf - vi) / t

Where "a" is acceleration, "vf" is final velocity, "vi" is initial velocity and "t" is time.

We are given that the car's initial velocity is 18 m/s east, the acceleration is 1 m/s2, and the time is 1.57 s. We can use these values to find the car's final velocity:

vf = vi + (a x t)

vf = 18 + (1 x 1.57)

vf = 19.57 m/s east

Now that we know the final velocity of the car, we can use the equation for momentum to find the change in momentum:

change in momentum = mass x (vf - vi).

change in momentum = 1383 x (19.57 - 18).

change in momentum = 1383 x 1.57.

change in momentum = 2166.71 kg m/s.

So, during this 1.57s of time, the car's momentum changes from 18m/s to 19.57m/s east and total change in momentum is 2166.71 kg m/s.

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88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.

The Cascade Mountain Range is a part of the Pacific Ocean's massive Ring of Fire, which frequently experiences powerful earthquakes and volcanic eruptions.

Through the state of Washington, the mountain range runs from British Columbia (Canada) to California.

The name of the summit was given by George Vancouver, a British navigator for the Royal Navy who discovered North America's Pacific Coast, according to the United States Geology Survey (USGS), in honor of Alleyne FitzHerbert, a British diplomat and a friend of his.

Therefore, 88 kilometers northeast of Portland, amid the Cascade Mountains, is the stratovolcano Mount St. Helens. Since the volcano only developed about 40,000 years ago, it is a rather recent formation. It is the Cascade Range's most active, though.

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She puts her skis in with less pressure because her skis have a larger surface area than her shoes do. Thus, Ingrid doesn't need to ski to travel across the snow.

The pressure on the snow is reduced by the size of the skis. The pressure on the snow is lessened by the larger surface area of skis. This prevents the skis from burying themselves too deeply in the snow.

Pressure is defined as the force perpendicularly applied to an object's surface divided by the area across which it is distributed. Gauge pressure is the pressure in relation to the air pressure outside. To express pressure, various units are employed.

Ingrid can move over the snow without skiing because there is less pressure when she puts her skis on compared to her shoes.

The question is incomplete. The complete question is 'Ingrid lives in a cold country that sometimes gets lots of snow. When that happens , people can enjoy the sport of skiing. Ingrid goes outside to see if the snow is fit for skiing. She sinks into the snow , but when she puts her skis in, she can move over the snow without skiing. Why?'

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The force applied by the breaks on the bus traveling at 26.6m/s will be 34,546 Newtons.

First we have to calculate the negative acceleration applied by the breaks. We know that [tex]v^{2} - u=2as^{2}[/tex], where V is the final velocity, u is initial velocity, s is the displacement and a is the acceleration Therefore, by putting the given values, we get :

⇒(0 x 0)- (26.6 x 26.6)=2 x 47 x a

⇒-[tex]\frac{706.56}{2*47}[/tex]

⇒-7.51

∴ Acceleration applied by the breaks is -7.51 [tex]ms^{2}[/tex]

Now, by F=ma, we can calculate force as we already know the mass of the bus. Therefore,

⇒m x a

⇒4600kg x (-7.51)ms-2

⇒34,546 Newtons will be the answer.

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About 2,900 kilometers (1,802 miles) beneath the surface of the Earth, the core can be located.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Furthermore, it is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

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Answer:  A big Yes

Explanation: Viscosity depends strongly on temperature. In liquids, it usually decreases with increasing temperature, whereas, in most gases, Viscosity increases with increasing temperature.

As temperature increases, the average kinetic energy of the molecules also increases; it more easily overcomes the attractive forces between molecules. Therefore, Viscosity decreases with increasing temperature.

For example, when syrup is cold it has a high viscosity and can be difficult to pour. When heated in a microwave, the viscosity decreases and the syrup flows more freely. Similarly, Honey and oil tend to flow better at higher temperatures.

Both cohesion and molecular interchange contribute to liquid viscosity.  With high temperatures, viscosity increases in gases and decreases in liquids, the drag force will do the same.

When a liquid is heated, the kinetic energy of its molecules increases and the intermolecular attraction becomes weaker. Hence, the viscosity of a liquid decreases with an increase in its temperature.

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Newton's first law states that an object will continue to move unless a force acts on it. The second law states that force equals mass times acceleration.

Newton's first law, also known as the law of inertia, states that a body at rest will remain at rest and a body in motion will continue to move at a constant speed unless acted upon by an external force. I'm here. This means that the object will maintain its current state of motion unless a net force acts on it.

Newton's Second Law, also known as the Law of Acceleration or the Law of Force, states that the acceleration of a body is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the force on an object is equal to its mass multiplied by its acceleration.

Newton's Third Law, also known as the "Law of Action and Reaction" or "The Law of Reciprocity", states that for all actions there are equal and opposite reactions. This means that when one object exerts a force on her second object, the second object exerts an equal and opposite force on the first object.

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Answer:

[tex]m=\frac{w}{g}[/tex]

Explanation:

Since w=mg we can find the formula for mass

The following forces govern the motion of common objects that is gravity, friction, and applied forces.

Every thing was pulled downward by gravity, which prevented them from rising into the air. Every movement is subject to forces from friction in the opposite direction. Applied forces dictate how objects move according on the purpose of people who apply them.

The electromagnetic force, weak and strong nuclear forces, gravitational force, and other fundamental forces all play important roles in the cosmos. However, the main factors of relevance when it comes to the motion of common things are gravity, friction, and applied force.

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1 Nm (Newton-meter) is a unit of torque, which is a measure of the twisting force applied to an object, such as a shaft or a nut.

It is defined as the amount of force required to rotate an object around an axis by one radian (about 57.3 degrees). In other words, one Nm of torque is equal to the force of one Newton (N) acting at a distance of one meter (m) from the axis of rotation. It is a common unit of torque used in the field of mechanics and engineering, particularly in the design and operation of machines and vehicles. Torque is also related to the angular velocity of an object, and the rotational energy, which is calculated by multiplying the torque by the angle through which the object rotates. In a mechanical system, torque is often controlled by adjusting the position of the mechanical load or by applying a force to a lever to generate torque.

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The full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.

To calculate the full-load current of a 25 horsepower, 480-volt, 3-phase, squirrel-cage induction motor, you can use the formula:

Full-load current (I) = (Horsepower * 746) / (Voltage * 1.73 * Power factor)

where 1.73 is the square root of 3, which accounts for the 3-phase power and Power Factor is assumed to be 0.8

Plugging in the given values, we get:

I = (25 * 746) / (480 * 1.73 * 0.8)

I = 25746/(4801.73*0.8)

I = 25746/(4803.07)

I = 25*746/1478.4

I = 25*0.508

I = 12.7 A

Therefore, the full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.

It's worth noting that this is just an approximation and the current can vary depending on the motor design, the load and the power factor.

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Jamal should move the car from Point A to Point B,which will increase its potential energy.

The energy that an object has stored in it due to its position or configuration is known as potential energy. It is the energy an object possesses due to its position relative to other objects, stresses within itself, its electric charge, or other factors. The ability of an object to do work by virtue of its position is called potential energy. Examples of potential energy include the energy stored in a stretched elastic band or a raised weight

Jamal should move the car from Point A to Point B. This movement will result in the largest increase in potential energy because Point B is higher than Point A, and thus the car will gain potential energy as it moves to a higher elevation. The magnetic force that will act on the vehicle is the magnetic repulsion force. This force is created by the magnetic fields of the two cars, which act to push the cars apart. This force is what causes the car to move up the incline and gain potential energy.

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Newton's first law, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion with a constant velocity unless acted upon by an external force.

In simple terms, it says that an object will remain in its current state of motion unless acted upon by a net force.

This means that if an object is moving in a straight line at a constant speed, it will continue to move in that way unless something changes its motion.

Similarly, if an object is at rest, it will stay at rest unless something applies a force to it. This law is fundamental in understanding the principles of motion and forms the basis for many other laws of physics.

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The 50 kg mass on 4 m2  on will exert more pressure.

Pressure is described as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Mathematically pressure = force / area

From Newton's second law

force = mass x acceleration where Acceleration due to gravity = 9.8m/s²

Comparing both pressures where

P1 = 100x 9.8 / 10

p1 = 100 pa

p2 = 50 x  9.8/ 4

p2 = 125 pa

Therefore The 50 kg mass on 4 m2  on will exert more pressure since it exerts more pressure.

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