A 10,300 kg railroad car traveling at a velocity of 19 m/s strikes a second boxcar at rest. If the two cars stick together and move off with a velocity of 6 m/s, what is the mass of the second car?

Since we're measuring in football fields, I assume the 100 different people are in America. Since, the people aren't stripped of their possessions before this match between a rabid gorilla with no enhancement. And "winning" is consider overcoming or neutralizing an obstacle.

The easy answer is the person with a conceal carry gun/weapon wins.

But that is too simple, lets break it down: the fight is with a 500lb rabid gorilla who is 12x stronger than an average man with canine teeth that can bite up to 1,300 pounds per square inch. The gorilla has bones 3x stronger than a human, thick fur covering its back, and will concentrate their fight on one person, unless distracted. An average person weights around 180lb and most will attempt to flee the rampaging gorilla. Since fighting barehanded is a death sentence, those people who attempt to engage the gorilla 1v1 will perish. The Gorilla will be too strong and tough for anyone deal real physical damage with their bare hands. The best strategy will be to blind the gorilla by poking it's eyes and choking the gorilla by stuffing its nose/throat with clothes/dirt/whatever, but that means getting close and possibly become a sacrifice. Since humans are smarter and will use tools to their advantage, enough people will form the idea described above and some of the 100 contestant will survive with bruises, broken bones, missing limbs, torn flesh, or all of the above.

But ultimately, the gorilla will be defeated.

Give this solution a 5 star to help future contestants.

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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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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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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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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It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. It is a vector quantity, which means that the direction is taken into account in addition to the magnitude. It is expressed in SI base units: Kg.m2.s-1

Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. An object's angular momentum is the product of its rotational inertia and angular velocity. The angular velocity of an object is the rate at which it turns.

Here,

It is a rotating body property that is determined by the product of the rotating object's moment of inertia and angular velocity. It is a vector quantity, which means that the direction, in addition to the magnitude, is considered. It is written in SI base units: Kg.m2.s-1

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The energy of the ball is transformed into heat during the contact. As there is no more energy imparted to the ball, it returns with less kinetic energy and is unable to rise as high.

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An X-ray tube used for cancer therapy operates at 38 Mv with a beam current of 73 mA striking a metal target. Calculate the power of this beam.

What Are Metals Made up of? Metals are made up of atomic materials such as electrons, neutrons, and protons. Atoms of different elements can be distinguished from one another by the number of protons they contain. Metals comprise about 25% of the earth's crust.

Non-metals are natural materials that do not produce heat or electricity and that are structurally brittle (can not be easily rolling, moulding, extruding or pressing). Hydrogen, carbon, nitrogen, oxygen, phosphorus, arsenic and selenium are the non-metallic elements in the periodic table.

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A metal target is struck by a cancer therapy X-ray tube operating at 38 Mv and 73 mA of beam current. Determine the beam's power.

What Elements Are Found in Metals? Metals are made up of atomic building blocks such as quarks, neutrons, and protons. An atom may be distinguished from a particle of a different element by the number of protons it contains. Metals make up around 25% of something like the upper mantle.

Natural non-metal compounds are brittle and electrically and thermally reactive (can not be easily rolling, moulding, extruding or pressing). The yearly table includes non-metallic elements such as gas, methane, nitrogen, air, calcium, arsenic, and selenium.

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The number of rubber bands that will cause an object with half the mass to accelerate six times as quickly is 6.

Newton's second law of motion is a quantitative depiction of the progressions that a power can create on the movement of a body. It expresses that the time pace of progress of the energy of a body is equivalent in both greatness and bearing to the power forced on it. The force of a body is equivalent to the result of its mass and its speed.

So,we have given some of parameters like,

The force applied to the object by the two rubber bands, according to newton second law of motion is

F = ma

2 = ma--------(eq1)

When the mass of the object is halved, the number of rubber bands required is calculated as;

2/ma=n/(m/2)×6a

=>2/ma=2n/6ma

=>n=(2/ma)×(6ma/2)

=>n=6

Hence,6 rubber bands will be needed.

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(Complete question) is:

Two rubber bands cause an object to accelerate with acceleration a. How many rubber bands are needed to cause an object with half the mass to accelerate six times as quickly?

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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The father of physics in Pakistan is Professor Dr. Abdus Salam, who was a Nobel Laureate in Physics in 1979 for his contributions to the field of Theoretical Physics. He was also the first Pakistani to receive a Nobel Prize in any field.  

Born in 1926 in Jhang, Punjab, Pakistan, Dr. Salam earned his B.Sc. in Mathematics and Physics at Government College, Lahore, followed by a Ph.D. in Mathematics at Cambridge University in 1951. He then held numerous academic posts in the UK, including at Imperial College London, the University of Oxford, the University of London, and King's College London.  In 1957, Dr. Salam returned to Pakistan and founded the Theoretical Physics Group at the University of Punjab.

In addition to his academic career, Dr. Salam was also a strong advocate for the development of science and technology in Pakistan. He was instrumental in establishing the Pakistani Academy of Science, the National Centre for Physics, and the International Centre for Theoretical Physics in Trieste, Italy.

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The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will experience 9.8 N of force for every kg of mass. The weight of an object is smaller if the gravitational field is weaker.

Newtons per kilogram (N/kg) are used to measure the gravitational field strength (g). At or near the surface, the gravitational field strength of the Earth is 10 N/kg. This implies that an item will experience 10 N of force for every kilogram of mass.

Strengths of the gravitational fields on Earth and the Moon Gravity is the cause of weight. The Earth's gravitational field is 10 N/kg strong (10 newtons per kilogram). In other words, a force of 10 N would pull a 1 kilogram object in the direction of the Earth's center. Such pressures are perceived by us as weight.

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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 quantity of motion that is quantified as the product of mass and velocity is known as momentum and is related to the mass of the moving body. P=mv is the expression for the momentum.

Momentum is a measure of how much an object is moving, whereas velocity is a measure of how fast an object is moving in a certain direction. Velocity is one of the components of momentum, which is defined as the item's mass multiplied by the speed of the object.

A mathematical formula states that an object's momentum is equal to its mass times its velocity. Mass times velocity equals momentum.

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A red light photon with a wavelength of 660 nm has energy equal to 3.01 x 10-¹⁹ J

The energy that a single photon carries is known as photon energy. Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon. The energy of a photon increases with its frequency.

To determine the energy of photon, use the equation:

E = hc/ λ

Where,

E = the energy of photon

h = Planck's constant (6.626 x 10-³⁴ Js)

c = 2.998 × 10⁸ m/s

λ = wavelength (m)

Hence,

The energy of red light:

E = (6.626 x 10-³⁴ x 2.998 × 10⁸) / (660 x 10-⁹)

= 3.01 x 10-¹⁹ J

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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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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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Answer: 2 J

Explanation: Work is defined as the energy exerted by an object when a force acts on it. The formula to find the work is

W = F .d

where, F = force applied

d = displacement

In the given question,

F = 20 N

d = 0.1 m

Hence, Work done, W = F.d

= 20 x 0.1

= 2 Nm

= 2 J

The law of inertia is about the tendency of any object to remains in state of motion until and unless an external force is applied to it.

The law of inertia states that any object remains in its state of motion, (either in rest or in motion)  until and unless an external unbalanced force is applied to it. For example if a car is travelling at a constant speed then it will continue to remain in this state for ever. But practically it comes to at rest state after covering some distance. This is due to the opposite force of friction working between the tires of the car and the road surface.

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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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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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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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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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Answer:If there are four pinholes, each gives an individual image which then overlaps to result in the final image. The final image will not be coherent and clear.Furthermore, a 1cm hole is too big to be used as a pinhole. One of the main criteria of the pinhole camera is that the hole should be very small to provide infinite field depth. Thus, a 1cm hole reduces the sharpness of the image.

Explanation:

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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The true statement about sound waves include;  Sound is caused when something vibrates, and  Sound moves by longitudinal waves.

option A and B are the correct answers.

A mechanical wave is a type of wave that requires material medium for its propagation.

A mechanical wave can be of two types based on mode of propagation;

A longitudinal wave travels parallel to the direction of the wave's vibration, while transverse wave travels perpendicular to the direction of the wave's vibration.

An example of longitudinal wave is sound wave. Pitch and loudness are basic characteristic of sound waves because they determine the quality of the sound.

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The SI unit of mass is kg.

The International System of Units is the worldwide standard for expressing magnitudes or quantities of important natural phenomena. This system of units, also called the metric system, is commonly abbreviated to SI. It derives from its original French name Système international d'unités.

Mass is a quantitative measure of inertia in physics, a fundamental property of all matter. In effect, it is the resistance that an object offers to changes in velocity or position when a force is applied. The greater the mass of an object, the smaller the change caused by an applied force.

Mass is one of the fundamental properties of matter. The mass of an object is a measure of the amount of matter in it. The SI unit of mass is the kilogram (kg). The mass of an object is always constant. Weight is a measure of the weight acting on the body.

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To calculate the distance in meters, we multiply the number of steps (120) by the length of each step (0.7 m). This gives us the total distance in meters (84 m).

The length of an answer would depend on the question being asked. If the question requires an answer that is 100 words, then the length of the answer should be 100 words. To ensure the answer is plagiarism-free, it is important to cite any sources that are used to provide information or facts within the answer. Additionally, any ideas, words, or phrases used from another source must be given proper attribution.

120 steps x 0.7 m/step = 84 m

Explanation: To calculate the distance in meters, we multiply the number of steps (120) by the length of each step (0.7 m). This gives us the total distance in meters (84 m).

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The distance the springs need to bring the car to a stop can be calculated using the equation for the potential energy of an object at a height, which is:

PE = mgh

where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

In this case, the car has a mass of 1,836 kg and is at a height of 88.6 meters. So the potential energy of the car at the top of the roller coaster is:

PE = 1,836 kg * 9.8 m/s^2 * 88.6 m = 1.5*10^5 J

Next, we need to find the work done by the spring. Work can be calculated using the equation

W = 1/2 * kx^2

where k is the spring constant (100,000 N/m) and x is the compression distance of the spring.

Since the work done by the spring is equal to the potential energy of the car, we can set the two equations equal to each other and solve for x (the compression distance of the spring):

1/2 * kx^2 = 1.510^5 J

x = sqrt(2 * 1.510^5 J / 100,000 N/m)

x = sqrt(30000/100000)

x = 0.173 m

Therefore, the spring needs a distance of 0.173 m to bring the car to a stop.