Explain in term of forces, why duck is floating on the water

a) It will travel 4.082 seconds before the car is alongside the truck

b)The car be moving at a speed of 12.246 m/s relative to the truck when they are side by side

c)The distance travelled by car is 106.64 m

d)The distance travelled by truck is 81.64 m

What is meant by relative motion?

The motion of one body when compared to another which is considered to be fixed is known as relative motion.

Initial velocity of the car ,u₁ = 20.0 m/s

Initial velocity of the truck ,u₂ = 20.0 m/s

Initially the distance between the truck and the car, d = 25 m

acceleration of the car,a₁ =  3.0 m/s²

a)  For the car to reach the truck in a time interval( t ) , the distance travelled by car in that time( s₁ ) should be 25m more than the distance travelled by the truck in the same time interval( s₂ )

⇒ s₁ = 25 + s₂                      

    u₁t+ 1/2a₁t² = 25 + u₂t +0        ( by eqn of motion , s = ut + 1/2at²)

    20t + 1/2 * 3 * t² = 25 + 20t

     1/2 * 3 * t² = 25

     t² = 50/3

   t = √50/3

   t = 4.082 s

Therfore, It will travel 4.082 seconds before the car is alongside the truck

b)   Time taken for them to reach side by side ,t = 4.082 s

     velocity of car at that instance , v₁ =u₁ +  a₁t

                                                          v₁ = 20 + 3 (4.082)

                                                              = 20 + 12.246

   ∴ v₁ =32.246 m/s

    relative velocity to the truck ,v₁₂ = v₁ - u₁  

                                                         = 32.246- 20

                                                         = 12.246 m/s

Therefore the car be moving at a speed of 12.246 m/s relative to the truck when they are side by side?

c)  Distance travelled by car , s₁ = u₁t + 1/2a₁t²

                                                  =  20 (4.082) + 1/2 * 3 * (4.082)²

                                                   = 81.64 + 25

                                                    =106.64 m

Therfore the distance travelled by car is 106.64 m

d) Distance travelled by  the truck , s₂ = u₂t

                                                              = 20(4.082)

                                                             = 81.64 m

Therfore the distance travelled by truck is 81.64 m

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Yes, the damping coefficient of a spring-cart system independent of mass. Mass doesn't affect the damping coefficient (since that is assumed constant).

Damping coefficient - The system’s damping coefficient is a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy.

Damping is experienced by most oscillatory systems such as harmonic oscillators. These systems, when displaced from their equilibrium position, experience a restoring force proportional to their displacement. If a frictional force proportional to the velocity is also applied, the system exhibits damped harmonic oscillation. In a damping phenomenon, the amplitude of the oscillation is decreasing gradually instead of sudden decreasing. When there is a damping in the system then the amplitude decreases and the period increases.

So, We can see that mass will absolutely affect the damping ratio, but not the damping coefficient (since that is assumed constant).

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We change [V 1] to 115 V, [V 2] to 110 V, and [P 1] to 500 W in the equation above. As a result, the output power will decline by 8.5%, which will also result in an 8.5% fall in heating output.

A low-wattage 500W heater can effectively heat places up to 57 square feet and offers a heating output of 1706 BTU. The smallest 200W heater, which can heat places up to 23 square feet, has a heating output of 682 BTU.

Since they convert all of the electricity they consume into heat, electric heaters are all believed to be 100% efficient, but this does not imply that their operating costs are low.

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Amine classification: Primary, Secondary Amines, which are derivatives of ammonia, are categorized as primary (1°), secondary (2°), and tertiary (3°) based on how many hydrogen atoms in the ammonia molecule have been replaced by alkyl or aryl groups.

A primary amine is created when one alkyl group replaces one hydrogen atom in NH 3. primary, secondary, tertiary, or quaternary amine as 1o, 2o, 3o, or 4° (CH3)4N+ .

(C₂H₅)CHNH₂ N atom is directly connected with only one C atom (i.e. one alkyl group) So, it is a primary amine.

An intermolecular interaction involves primary and secondary amines. This is because the nitrogen in one molecule and the hydrogen in another molecule form a hydrogen bond. This intermolecular interaction is more prevalent in primary amines compared to secondary amines.

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Answer: f

Explanation:

It's just 'f'

Sliding friction, also known as kinetic friction, is indeed a contacting force that opposes the motion of two items sliding against one another or between a body and a substrate.

How can kinetic friction be determined?

Ff=kFN F f = k F N, where k is the multiplier of frictional force and FN is the object's normal force, is the equation for kinetic friction.

Which four forms of kinetic friction are there?

The force that prevents one solid item from moving across another is known as friction. Surface tension, sliding friction, rolled tension, and fluid friction are the four main categories of friction.

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Given that gravitational potential energy can become kinetic energy upon impact, you can determine the speed.

Total energy can be preserved in this way.

Kinetic and potential energy are equivalent.

We can calculate the velocity from this.

In this manner, we may observe the potential energy becoming kinetic energy.

A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point. The gravitational potential energy will triple with a tripling of height.

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Observations in the X-ray portion of the spectrum are routinely done from the surface of the Earth is a false statement .

As a result, the planet emits the most energy in the infrared region of the electromagnetic spectrum is correct statement .

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Answer:

It is renewable.

Explanation:

The gravity of the earth is infinite and so it is renewable energy.

Gravitational potential energy is neither renewable nor non-renewable as it is a form of energy that exists due to the position of an object in a gravitational field. It is a type of potential energy that is associated with an object's position in a gravitational field and its mass. The amount of gravitational potential energy an object has depends on its mass, height above the reference level, and the strength of the gravitational field.

Renewable and non-renewable energy sources refer to the sources of energy that are used to generate electricity or power and are consumed over time. Examples of renewable energy sources include solar, wind, and hydropower, while non-renewable energy sources include fossil fuels such as coal, oil, and natural gas.

Therefore, gravitational potential energy is not considered a renewable or non-renewable energy source as it is not a source of energy that is harvested or consumed. Rather, it is a property of an object that can be converted into other forms of energy such as kinetic energy when the object falls or is released from its position in a gravitational field.

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The speed of the projectile relative to the ground immediately after it is fired is determined as v.

The final speed of the projectile is obtained by applying the principle of conservation of linear momentum.

The law of conservation of linear momentum states that in an isolated system, the sum of the initial momentum is equal to the sum of the final momentum.

Pi = Pf

where;

Pi = mv

where;

Pf = Pi = mv

since mass of the projectile = m

The final speed is calculated as;

Pf = mv

v = Pf / m

v = mv / m

v = v

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If the half-life of a radioactive sample is 11 years, it will take 37.06 years for the sample to decay to 25%.

Cobalt-60 has a half-life of 5.27 years, meaning that 50% of it is still present after that time (one half-life), 25% is still present after that time (two half-lives), 12.5% is still present after that time (three half-lives), and so on.

Iodine-131, for instance, is a radioisotope with an 8-day half-life. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have half of its atoms destroyed after eight days.

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Burning fossil fuels for transportation, heat, and power is the main cause of human-related greenhouse gas emissions in the United States.

Notes. About 76 percent of all greenhouse gas emissions are made up of CO2. Methane, which is mostly produced by agriculture, accounts for 16% of greenhouse gas emissions, while nitrous oxide, which is primarily produced by industry and agriculture, accounts for 6% of total emissions.

Indirect emissions from the production of purchased energy are considered scope emissions. All indirect emissions that occur upstream and downstream in the reporting company's value chain and are not covered by scope 2 are referred to as scope 3 emissions. 2.

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The mathematical relationship between the velocity of sound, its wavelength, and its frequency is represented by the equation v = fλ, where v is the velocity of the sound, f is the frequency of the sound, and λ is the wavelength of the sound.

Velocity is a measure of how quickly something is moving in a given direction. It is a vector quantity, meaning it has both magnitude and direction. Velocity is typically expressed in units of distance per unit of time, such as meters per second (m/s). Velocity is a measure of how quickly an object is changing its position relative to its surroundings.

This equation is known as the wave equation and is a fundamental concept in physics. It states that the velocity of a wave is equal to the product of its frequency and wavelength.
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Answer:

The impulse applied to the athlete as she slows down is 28 N*s.

Explanation:

To calculate the impulse applied to the athlete as she slows down, we can use the equation:

impulse = force * time

Since the force applied to the athlete is equal to her mass times her acceleration, we can also express the impulse as:

impulse = mass * (vf - vi) / time

Plugging in the values given in the question, we get:

impulse = 71 kg * (4 m/s - 10 m/s) / time

Solving for impulse, we get:

impulse = 28 N*s

Therefore, the impulse applied to the athlete as she slows down is 28 N*s.

(a) The car travels a distance of 147 m before it overtakes the truck.

(b) At the moment when car overtakes the truck, the speed of car was 21 m/s

Let us assume that the time taken by the car to overtake the truck = t seconds

Now calculating the distance travelled by car and truck during this time,

Using the kinematic equation for calculating the distance travelled by car and the truck:

The distance travelled can be computed by the relationship [tex]s= 0.5at^2[/tex]

Distance travelled by car will be [tex]S_{car} =0.5 \times 6\times t^2=3t^2 \:m[/tex]

Distance travelled by truck will be [tex]S_{truck}=21 \times t = 21t \:m[/tex]

At the instant of overtaking

Distance travelled by car = Distance travelled by truck

[tex]3t^2 = 21t\Rightarrow t = \frac{21t}{3t}=7\:sec.[/tex]

So, the distance travelled by car before it overtakes will be 3*7*7 = 147 m

(b) As Car have crossed the truck in 7 sec. after covering a distance of 147 m.

So, at the moment of overtaking the truck the speed of the car will be = 147/7 = 21/s

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Explanation:

are A and B really the only options ?

because they are wrong.

on T1 everything hangs : x and y and the additional 4 N.

T1 = 8 + 2 + 4 = 14 N

on T2 only the weight of y and the additional 4 N pull down.

T2 = y + 4 = 2 + 4 = 6 N

The amplitude of the resulting simple harmonic motion will be A=0.07184M

As M (Mass) =1X10^-2

K (constant) =124 n/m (newton/ meter)

u (initial speed) =8 m/s     at x=0

A=?  

we have, e=1/2kx^2+1/2mu^2

but E=1/2KA^2

=1/2KA^2=1/2KX^2+1/2MU^2

1/2KA^2=1/2MU^2

A^2=M/KU^2=A=(M/K)U

A=(√1X10^-2)/124)(8)=0.0718

A=0.07184M  

or            

A=71.84X10^-3M  

A wave's amplitude is the separation between its starting point and its maximum displacement. Frequency is the quantity of waves that pass past a given place each second. Period: the amount of time required for a wave cycle to end.

It speaks about the greatest deviation an object in periodic motion can exhibit from equilibrium. A pendulum, for instance, swings past its equilibrium point (straight down), then swings to a maximum distance from the centre.

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As they lessen reliance on combustion-based electricity generation, wind and solar energy boost air quality, public health, and greenhouse gas emissions.

Solar energy has advantages as a renewable energy source. The fact that solar energy is a completely renewable energy source is the most significant of all the advantages of solar panels. Reduces electricity costs and has many uses. Costs of maintenance are low.

A clean, emission-free, and sustainable energy source is home solar power. Home solar energy, as opposed to fossil fuels like coal and natural gas, doesn't emit hazardous pollutants or greenhouse gases like carbon dioxide into the air and water supplies.

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Vertical distance from the point of observation on the Earth's surface to the point being measured. Altitude: Vertical distance from mean sea level to the point being measured.

gravitational potential energy = mass * acceleration due to gravity * height

gravitational potential energy = 55 * 9.8 * 370

gravitational potential energy = 539 * 370

gravitational potential energy = 199,430

Hence the total change in the skier's gravitational potential energy is 199,430Joules.

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Virus

Explanation:

Virus is 20 to 100 times smaller than bacteria

Bacteria are larger than virus

The recommended range for refueling for endurance races is 30 to 60 grams of carbohydrates each hour.

The following are suggestions for refueling while exercising. Use a fat supplement every 30 minutes, and stay away from fluids while working out. During endurance activities, good hydration habits should be followed. eating liquids to make up for fluid lost during exercise and drinking freely for the 24 hours before to an event. Maintaining performance, preventing injury, and maintaining hydrate all depend on replacing lost salt from exercise. To figure out how much salt is lost during training, you don't need a sophisticated lab test. You ought to be able to avoid the dangers of sodium losses if you go by these recommendations and experiment to see what works.

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The Greenhouse Gas Protocol defines scope 3 emissions from waste as emissions from the disposal and treatment of all waste streams produced as a result of the operations of the institution, including the treatment of both solid waste and wastewater.

Methane emissions from solid waste decomposition in landfills, biological treatment of solid wastes, waste incineration and burning, wastewater treatment and discharge, and other sources are examples of waste emissions.

Although they emanate from sources that the company does not own or control, scope 3 emissions are a byproduct of corporate operations. The extraction and manufacturing of purchased materials and the transfer of purchased fuels are two examples of activities in scope 3.

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Answer:

The primordial heat of a planet is the heat caused by the dissipation of heat energy accumulated during its first few million years. Accretion energy is the energy deposited by infalling planetesimals and differentiation energy is the energy deposited by separating planetesimals.

The required change in after 5 seconds Mechanical energy is 0.6J.

Gravitational potential energy is the energy that an article has because of its situation in the gravitational field. The most well-known use of gravitational potential energy is for objects close to the outer layer of the Earth, where gravitational speed increase can be accepted consistent at around 9.8 m/s2. Since the no point of the gravitational likely energy anytime can be picked (like picking the no point of the direction framework), the possible energy at level h over that point is equivalent to the work expected to lift Become. Move an item up to that level with no net change in active energy. Since the power expected to lift it is equivalent to its weight, it follows that the gravitational potential energy is equivalent to its weight duplicated by the level lifted.

Mechanical energy = kinetic energy + Potential energy

So, After 5 seconds

Mechanical energy = 0.6 + 0

Mechanical energy =  0.6 J

Thus, change in Mechanical energy is 0.6J.

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The 2 literary devices we see in satire are:

Irony: Gap between what is said and what is meant.

Hyperbole: A literary term for exaggerating a particular event or person.

What is satire?

Satire is a genre of visual, literary, and performing arts, usually fiction, rarely non-fiction, is intended to embarrass or disclose Improve a company, government, or society itself. Although satire is usually intended to be humorous, its more important purpose is often constructive social criticism, drawing witty attention to specific and broader societal issues.

The hallmark of satire is strong sarcasm and irony - according to literary critic Northrop Fry, "in satire sarcasm is warlike" - but parody, burlesque, exaggeration, juxtaposition, comparison, Analogies, double entenders, are all commonly used in satirical speaking and writing. This "belligerent" cynicism and cynicism often professes to condone (or at least take for granted) exactly what the satirist wants to question.

The 2 literary devices we see in satire are:

Irony: Gap between what is said and what is meant.

Hyperbole: A literary term for exaggerating a particular event or person.

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Ammeter is the name of the electrical component used to measure the current in a circuit.

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Option C 100 N is correct. Given that no element of the system is in motion, a person pulling with 100 N of force at either end of the rope is met with a 100 N tension in the rope.

Because the rope is subjected to the same pulling force on both sides, it is in a state of static equilibrium (i.e. it is at rest consequently has a net force of zero). Tension on a rope will be zero if it is pulled from its ends by two opposing forces of 100N each since both forces have identical magnitude but operate in different directions on the same body and cancel each other out.

The complete question is- Two people are pulling on the ends of a rope. Each person pulls with a force of 100 N. The tension in the rope is:

A 0 N

B 50 N

C 100 N

D 141 N

E 200 N

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