Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.10×10^6 N
, one at an angle 17.0 ∘
west of north, and the other at an angle 17.0 ∘
east of north, as they pull the tanker a distance 0.630 km
toward the north. What is the total work done by the two tugboats on the supertanker?
Express your answer in joules, to three significant figures.

For force F2 cos2 c + cos2 c + cos2 45 + cos2 * 60 = 1 cos c = 0.5 c = 60 degree, force F1 = 450 * (cos(45) * cos(30) j - cos(45) * sin(30) i + sin(45) k).

What is a force in science?

In science, the term "force" has a particular definition. At this point, describing a force as a push or a pull is perfectly acceptable. There is no such thing as a force that an object "has in it" or "contains." A force is applied to one thing by another.

What different types of force are there?

A force is a push or pull that an object feels as a result of interacting with another object. The Force of Friction is one of many forces. Tension force Standard Force.

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The velocity of the car before it began to accelerate is 36.6 m/s.

The initial velocity of the car is calculated by applying the third kinematic equation.

v² = u² - 2as

where;

When the car stops, the final velocity, u will be equal to zero.

v² = u² - 2as

0 = u² - 2as

u² = 2as

u = √ (2as)

u = √ ( 2 x 3.2 x 210 )

u = 36.6 m/s

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The biggest drawback of ballistic stretching, aside from the risk of damage, is that it doesn't give the stretched muscle enough time to adjust to the extended position.

Instead can make the muscles tighten up by continually inducing the stretch response (or myotatic reflex). Overstretching or bouncing might be detrimental. Microtrauma or rips in the muscles or connective tissue may result from it. As a result, this can produce a flaw that manifests itself later on in the run. Stretching should be done for a set amount of time, usually between 5 and 10 minutes.

Reduced maximal strength when done before strength training; decreased long-term training benefit when done before or during strength; increased chance of injury when done before strength or endurance training.

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All energy transformations in an ecosystem starts with the sun.

In the ecosystem, every living being depends on some kind of energy to survive. There are different types of sources of energy in the world. Like: Solar energy, wind energy, tidal energy, fuel energy.

However sun is the only reason behind every transformation of energy. For example wind energy generates from the movement of the wind. But wind is generated due to the pressure difference of two different placed, and this pressure difference is due to the temperature difference of that places. Which ultimately depends on the sun.

In other example, fuel energy derived from the fossils. Fossils are the decomposition of dead plants and animals in the presence or absence of oxygen. But theses plants and animal needs solar energy for photosynthesis and for their survival. So we can say that the sun is the only reason behind every transformation of energy in the eco system.

Hence the option b is correct.

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Answer:

Ratio of g = 9:1

Explanation:

Given,

The ratio of the radius of planets = 1:3

let the mass of the planets be M

We can say that,

The radius of planet 1 = 1x

The radius of planet 2 = 3x

We know that g = GM/[tex]R^{2}[/tex]

g on first planet = GM / [tex]x^{2}[/tex] ,  g on second planet = GM/ 9[tex]x^{2}[/tex]

g on first planet: g on second planet  =  GM/[tex]x^{2}[/tex] * 9[tex]x^{2}[/tex] / GM

                                                                = 9:1

Newton-meters are used as the torque SI unit. Foot-pounds are frequently used in imperial units.

Sir Isaac He is credited with much more than only revelation of the theory of physics; he also created a number of both the fundamental concepts regulating visible light, the laws of motion, and made important contributions to calculus.

A 1 kilogram item can accelerate by 1 m per seconds square with a 1 Newton (N) force applied. A 1 kilogram object might be propelled by 300 N of force at a speed of 300 meters per second square or a 300 kg object at a speed of 1 meter per second squared. A 300 N force is considered to be a sizable force.

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A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair. 

Proton donors, also known as Brnsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H3O+ under the unique situation of aqueous solutions.

The Arrhenius theory was expanded upon by Brnsted and Lowry to take non-aqueous solvents into account.

A hydrogen atom is typically bound to a chemical structure in a Brnsted or Arrhenius acid that is still energetically advantageous after the loss of H+. Aqueous Arrhenius acids have distinguishing characteristics that serve as a useful definition of an acid.

Therefore, A Brnsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H+) or establish a covalent bond with an electron pair. 

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The equivalent resistance of the three-resistor series network would be 100 ω.

The equivalent resistance of a three resistor series network composed of resistances 20 ω, 30 ω and 50 ω can be determined by adding the individual resistances together.

In this case, the equivalent resistance of the three resistor series network is 100 ω, as 20 ω + 30 ω + 50 ω = 100 ω.

When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistances.

This is because current passing through the circuit must pass through each resistor in series, thus reducing the overall resistance of the circuit.

As such, the equivalent resistance of the three resistor series network is 100 ω.

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The sum of the kinetic energy of the boy and the bicycle is 1920 J.

Given data:

Boy's weight is m=45.0kg

The mass of the bike is M = 15.0 kg.

The speed of the bicycle is v = 8.00 m/s.

The kinetic energy of an object is defined as the energy that an object has due to its motion. The combined kinetic energy of the boy's bicycle system is given by:

KE= 0.5 (m+M) v²

Resolve by replacing the values ​​with:

KE = 0.5 (45 + 15) * 64 joules

ke=1920

From this we can conclude that the combined kinetic energy of the boy and the bicycle is 1920 J.

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Answer:

4 cm/s

Explanation:

Speed = distance over time

The total number of conductors, the kind of cable clamps being used, and any additional devices in the box must all be taken into account when determining the minimum cubic-inch capacity needed for the box.

In this case, you have two 12-2 AWG and two 14-2 AWG nonmetallic-sheathed cables, which means a total of 8 conductors.

The two 14-2 AWG conductors are spliced together and serve as a switch loop, so they count as 2 conductors.

The 12-2 AWG conductors are connected to a receptacle, which is 2 conductors. The two 14-2 AWG conductors are connected to a toggle switch, which is 2 conductors.

The minimum cubic-inch volume required for the box is determined by the National Electrical Code (NEC). According to the NEC, the minimum box volume for 8 conductors is 18 cubic inches.

This is based on the assumption that cable clamps are used and that the box is not crowded with any other devices.

In conclusion, the minimum cubic-inch volume required for the box in this scenario is 18 cubic inches.

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It will take 5x105 seconds to get to this pace.

Speed refers to the rate at which a length varies over time. It has a time-distance dimension. The outcome is the High silica element of speed, which combines the fundamental time units and the fundamental measure of length. As a result, the SI unit for velocity is the metre per second, or m per s.

Velocity is the term for the rate of movement. The measurement of a velocity shift called acceleration. Given that it includes both magnitude and direction, it is a vector quantity. Due to the fact that it determines how quickly velocity changes, acceleration is just a vector quantity.

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Mass is a better measure of the amount of matter than weight is because: C) mass is independent of location. Therefore, option C is the correct answer.

The mass of an object is a measure of how much object it contains. The kilogram (kg) is the fundamental SI ( International System of Units) unit of mass. On the other hand, weight is a unit of force equal to the gravitational pull on an object. The terms mass and weight are frequently confused. However, the main distinction between the two is their reliance on location. 

The weight of an object is dependent on its location, whereas its mass is independent of its location. For example, the gravitational force on the moon is approximately one-sixth than the gravitational force on Earth. As a result, an object will weigh six times more on Earth than it will on the moon. On the other hand, mass does not change with location because it is determined solely by the amount of matter present in an object. Therefore, the mass of an object on the moon and on Earth is the same.

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6.2137119 miles per hour is equal to 10 km/h. (8 digits rounded) Speed is measured in kilometers per hour.

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It is accurate to say that light can pass through opaque materials like wood and aluminum foil.

Electromagnetic radiation that appears to human eyes as light. The spectrum of electromagnetic radiation's wavelengths is very wide. Light carries information about time and space. For the study of optics, optical communications, and a wide range of other related, both established and emerging technologies, this characteristic serves as the fundamental building block.

Examples of technologies that manipulate light include lasers, holography, and fiber-optic communication systems. In a vacuum, all forms of light travel at the same speeds as the electromagnetic spectrum, of which only a small portion is visible to humans. Furthermore, it is without a doubt possible for non-visible light to pass through wood, including radio waves, x-rays, and photons with gamma energy.

Because of this, it is true that light can pass through opaque materials like wood and aluminum foil.

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Complete question " TRUE OR FALSE Light can travel through materials that you cannot see through, like wood or aluminum foil".

The relation between the force and the angle is given by 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 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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In this case, 0.25 moles are present in 10 gram.

The amount of moles in 10 g of sodium hydroxide (NaOH) is known to be 0. NaOH equals 0.25 moles in a mole. Inferred from the query that In 10, 0 grams of sodium hydroxide.

How many moles are there? (NaOH ) : You must adhere to the grams to moles formula in order to accurately calculate the number of moles, n, of a substance with a given mass, m, (in grams): The molar mass of this substance is M, and n = m / M.

NaoH = 40 is typically used to calculate sodium hydroxide's molar mass.

moles = 10 /40 = 0.25

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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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Given that our line depicts the displacement of our object over time and that an object's instantaneous velocity (at t=1 is zero) is the derivative of that object's displacement at a particular point.

As we saw in the section above, we can also state that the instantaneous velocity at time t = 1 is roughly 2 meters per second. The limit of an object's average velocity as time passes toward zero is the object's instantaneous velocity.

By dividing the amount of time it took an object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V, d, and t are the variables in the equation:

V = d/t, where V is the speed and t is time.

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Answer:

L = E / M         energy input / water evaporated     (J/kg)

E = 60 J / s          60 J input in 1 sec

L = 60 J / (.006 / 60) kg = 600,000 J / kg

The specific latent heat of the vaporization of water is 6×10⁵ J/kg.

The amount of heat required to evaporate a certain mass of water can be calculated using the formula:

Q = ml

where Q is the heat required, m is the mass of water evaporated, and l is the specific latent heat of vaporization of water.

In this problem, we know that a heater with a power output of 60W evaporates 6x10⁻³ kg of boiling water in 60 seconds. We can calculate the amount of heat supplied by the heater using the formula:

Q = Pt

where P is the power of the heater and t is the time for which it is operating. Substituting the given values, we get:

Q = 60 W × 60 s

Q = 3600 J

We can now calculate the specific latent heat of the vaporization of water by rearranging the formula:

l = Q/m

Substituting the given values, we get:

l = 3600 J / (6×10⁻³kg)

l = 6×10⁵ J/kg

Therefore, the specific latent heat of the vaporization of water is equal to 6×10⁵J/kg.

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As per the law of conservation of energy, since the work done on the object is equal to m×g×h, the energy gained by the object = m×g×h, which in this case is the potential energy E.

The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in metres.

Similar to this, when a spring is moved away from its equilibrium position, it gains some energy, which we can notice by the stress our hands experience when we stretch it. Potential energy is a type of energy that arises from a change in its position or state, according to our definition.

Let's learn the formula, unit, and examples of potential energy after understanding potential energy and what it means.

m is the mass in kilograms

g is the acceleration due to gravity

h is the height in meters

Potential Energy Unit

Gravitational potential energy has the same units as kinetic energy: kg m2 / s2

Note: All energy has the same units – kg m2 / s2, and is measured using the unit Joule (J).

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When molecules are in the gaseous phase they tend to move away from each other as no intermolecular forces is acting upon them.

Particles in a gaseous phase are well separated with no regular arrangements. The gas particles vibrate and move freely at very high speeds.

The states of matter depends on the balance between the kinetic energy of the individual particles (atoms or molecules) and the intermolecular forces. the kinetic energy keeps the molecules apart and moving around, and is a function of the temperature of the substance and the forces try to draw the particles together.

Heating and cooling can also change the kinetic energy of the particles in a substance and so it can be said that we can change the physical state of a substance by changing its temperature.

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To win a  driver negligence claim, the victim (plaintiff) must prove four things: OBLIGATIONS, BREACH OF DUTY, CAUSE OF INJURY AND DAMAGE.

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In order to find the magnitude of the resultant force and the angle it makes with the positive x-axis, you will need to know the magnitudes and directions of the individual forces acting on the object, as well as their point of application.

This information can then be used to calculate the vector sum of the forces using vector addition. The magnitude of the resultant force can be found using the Pythagorean theorem, and the angle it makes with the positive x-axis can be found using trigonometry.

To find the magnitude of the resultant force, you can use the Pythagorean theorem to calculate the length of the hypotenuse of a right triangle formed by the individual forces. The magnitude of the resultant force is equal to the square root of the sum of the squares of the magnitudes of the individual forces.

To find the angle that the resultant force makes with the positive x-axis, you can use trigonometry. The angle is found by taking the arctangent of the y-component of the resultant force divided by the x-component of the resultant force.

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A system of objects that are not moving with respect to one another frame of reference. A frame of reference is a set of objects that are not moving relative to each other. It is used to define the position and motion of objects in space.

This is a basic concept in physics and is used to provide a point of reference for measuring and comparing the motion of objects. For example, when measuring the motion of a car in terms of distance and time, the starting position of the car is considered the reference point, and the motion of the car is measured relative to that point.

The frame of reference is also used when measuring the motion of objects in a rotating system, such as the planets in the solar system. In this case, the center of the system is the reference point and the motion of the planets is measured relative to it. Understanding how frames of reference work are important for understanding the laws of motion and the principles of mechanics.

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The correct order of coal formation is a) Peat b) lignite c) bituminous coal and d) Anthracite.

All the stages of coal formation depend on the conditions in which the plant was buried.

Peat: This is the stage-1 process of coal formation, when the decomposition of the plant of takes place in the absence of oxygen. e.g.:- underwater. This  leads to the presence of organic content in the coal.

Ligament: It is when buried plant is subjected to the increased vertical pressure from continuously accumulating sediments.

Bituminous coal: it is the third stage in which plant traces gets disappeared. It is mostly used as a source of heat energy.

Anthracite: it is the 4th stage, in which coal becomes "hard coal" due to the presence of high heat and high pressure. it burns with short flames and less smoke.

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Newton's 1st, 2nd, 3rd, and 4th laws are 1) Law of inertia 2) Force's law and 3) Action-reaction relationship.

Newton's 1st law is also called the law of inertia. A balling rolling on the ground stops after some time due to the opposite force of friction working between the ball and the ground.

Newton's 2nd law of force states that the rate of change of momentum of an object is equal to the force applied by the object. When a bullet is fired from a gun change in the momentum of the bullet generate the force that cause the bullet to be fired and to generate the recoil velocity in the gun.

Newton's 3rd law states the action-reaction relationship. When a rocket is launched from the earth, it applies a force on the ground that generate the enough reaction force that causes the rocket to generate orbital velocity.

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3 methods of solving an equation are 1) Graphical method 2) Substitution method 3) 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.

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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The tools meant for cutting and piercing always have sharp edges because they have less area of contact.

Less area of contact means that the tools can apply more pressure while cutting. It also becomes easier as the surface area is less, more pressure will be applied on the object.

According to the formula P= F/A, force is directly proportional to the pressure, and according to the theory of less area of contact, cutting tools always have sharp edges not blunt edges.

For example, tools used for cutting edges such as blades, knives, etc., are provided with sharp edges to cut things easily.

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