is it possible for a heat engine to operate without rejecting any waste heat to a low-temperature reservoir? explain.

The distance that the car will travel before coming to a complete stop is 82ft.

Distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.

The distance of a moving object can be calculated using the following formula:

Speed = distance ÷ time

According to this question, a car traveling at 41 ft/sec decelerates at a constant 2 feet per second. The distance can be calculated as follows:

41ft/sec = D/2

Distance = 82feet

Therefore, 82ft is the distance of the car travelling.

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The rate at which water is poured into the cup of radius 10 cm when the water level is 8 cm is   100.48 cm^3/sec.

Since we know the volume of  a cone is: V=πr²h/3, where h is the height and  r is the radius of the base of the cone .Here the slope of  h and r is: h/r= 20/10 =2 ,Now we can convert the formula for the volume of the cone with just one variable :

V=π(h/2)²h/3

=πh³/12

Now differentiation of both sides with  respect to time  t, we get

V'=3πh²h'/12, where h' is the rate of change of height

  =πh²h'/4

now substituting the  know values in the above formula , we get

V= 3.14*(8)²*2/4 = 32 *3.14 = 100.48 cm³/sec .

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A conical paper cup is 20 cm tall with a radius of 10 cm. The cup is filled with water so that the water level rises at a rate of 2 cm/sec. At what rate is water being poured into the cup when the water level is 8 cm?

The excess charge required to reach the given potential is 4.6 x 10-6 C.

What is potential?
Potential typically refers to a skill that is still being developed. The phrase is used in a wide range of disciplines, from physics to a social sciences, to describe things that are capable of changing in a variety of ways, from the straightforward release of energy besides objects to the realisation of abilities in people. In his works Physics, Ontology, Nicomachean Ethics, as well as De Anima, which deals with the human psyche, the philosopher Aristotelian incorporated this idea in to the his theory of potentiality as well as actuality, a pair of interconnected principles he used to analyse motion, causality, ethics, as well as physiology.

The charge required to reach the given potential is given by the formula
Q = 4πεrV

Where Q is the charge, ε is the permittivity of free space, r is the radius of the sphere, and V is the potential.
Plugging in the given values, we get
Q = 4π(8.85 x 10-12 F/m)(0.125 m)(3.75 x 103 V)
Q = 4.6 x 10-6 C
Therefore, the excess charge required to reach the given potential is 4.6 x 10-6 C.

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The large ship's mass with a momentum of 1.54 * [tex]10^{9}[/tex] kg m/s is [tex]3.16 * 10^{7}[/tex] kg

Given Parameters:

Speed of ship = 48.7 km/hr

The momentum of the ship = 1.54 * [tex]10^{9}[/tex] kg m/s

Momentum is characterized as the intensity of a body's motion.

Momentum is measured by "mass velocity" because it depends on both the speed and the direction of the body's motion. Mass is a scalar quantity, but velocity is a vector, hence momentum is a vector quantity. Mass in motion is quantified by momentum, which is the measure of how much mass is moving. Typically, it is denoted by the letter p.

Momentum (p) = Mass (m) * Speed (v)

p = mv

We need to calculate the mass of the ship,

m = p/v

[tex]m =\frac{1.54 * 10^{9} }{48.7} =0.0316*10^{9} = 3.16 * 10^{7}[/tex]

Thus, the mass of the ship is [tex]3.16 * 10^{7}[/tex] kg

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The statements which are correct include the following:

i) Stars like the sun generate energy through nuclear fusion.

ii)The most stable nucleus in terms of binding energy per nucleon is 56fe.

iii) The core of nuclear fission reactors consists of uranium enriched in 235u surrounded by a moderator which slows down the neutrons from the 235u.

This is referred to as the dense part which is present at the center of the atom and it comprises of particles such as proton and neutron. Iron -56 is referred to as the most stable nucleus because it has the lowest mass per nucleon of all nuclides.

Nuclear fusion is the process in which two light nuclei merge to form a single heavier nucleus and energy is generated as a result which is used by stars.

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1/9 of the total mechanical energy is the system's potential energy x=1/3.A .

Energy is the capacity to perform labor, according to scientists. Due to the sheer capacity to convert energy from one medium to some other and use it to achieve things, human civilisation is attainable.

Chemical, electrical, radiant, mechanical, thermal, nuclear, and other six main types of energy exist. Additional kinds, such as electrochemical, acoustic, electromagnetic, and others, may be discussed in other studies.

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Option C. momentum ia 20 kg m/s has the greatest amount of momentum.

Momentum is the product of the mass and pace of an item. it is a vector amount, owning a value and a route. If m is an item's mass and v is its pace, then the object's momentum p.

Momentum in a easy way is a amount of movement. here quantity is measurable due to the fact if an object is transferring and has mass, then it has momentum. If an item does now not move then it has no momentum.

Calculation:-

momentum = mass × velocity

1. momentum = 1 × 5 m/s

                      = 5 kg m/s

2. momentum = 5 × 1 m/s

                      = 5 kg m/s

3. momentum = 10 × 2 m/s

                      = 20 kg m/s

4. momentum = 2 × 5 m/s

                      = 10 kg m/s

5. momentum = 3 × 1 m/s

                      = 3 kg m/s

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According to the assertion, the sliding particle will dominate the downhill race between the rolling sphere, rolling cylinder, rolling hoop, and sliding particle.

Sliding friction is the resistance that any two items produce as they slide against one another. This friction, sometimes referred to as kinetic friction, is the force required to keep one surface moving along another.

Briefing : A sphere, a cylinder, and a hoop, all of mass M and radius R, are released from rest and roll down a ramp of height h and slopeθ. They are joined by a particle of mass M that slides down the ramp without friction.

for particle c = 0 where c is a constant that depends upon the object .

a=a (particle), rolling sphere c=2/5, a (cm) = 5/7a (particle) =0.71a (particle)

rolling cylinder ,c=1/2  ,a(cm)=2/3a (particle) =0.67a (particle), rolling hoop =0.50a (particle).

then we have ¹/₂ I cm ω² ₊¹/₂ Mv cm²=Mgh

ω=Vcm/R    ,   Icm = cMR²     where c is a constant that depends upon the object .

Mgh= ¹/₂(cMR²)(Vcm/R )+¹/₂M v cm² , therefore v cm =[tex]\sqrt2gh/\sqrt\ (1+c)[/tex]

therefore , v(particle)>v(sphere)>v(cylinder)>v(hoop)

   and       a (particle)>a(sphere)>a(cylinder)>a(hoop).

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The two options are reasons that electromagnetic waves are effective for use in communication devices:

1. Electromagnetic waves can travel long distances with minimal energy loss.
2. Electromagnetic waves can easily be modulated to carry information.

What is electromagnetic wave?
In terms of physics, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of a electromagnetic spectrum. Electromagnetic waves, that are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. Due to the periodic alteration of the electric or magnetic field, electromagnetic radiation or waves are produced. Different wavelengths of the electromagnetic spectrum are produced depending on the manner in which this periodic change takes place and the power generated. Electromagnetic waves move at the speed of light, commonly abbreviated as c, in a vacuum.

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Answer:

Explanation:

Which two options are reasons that electromagnetic waves are effective for use in communication devices?.

This is because spray sunscreens contain fewer ingredients and preservatives than cream sunscreens.

What is sunscreen?
Sunscreen, also referred to as sunblock as well as sun cream, is a topical photoprotective product for the skin that primarily absorbs or, to a much lesser extent, reflects some ultraviolet (UV) radiation from the sun. This helps prevent sunburn and, more importantly, skin cancer. Lotions, sprays, hydrocolloids, foams, sticks, powders, as well as other topical products are all forms of sunscreen. Sunscreens are common additions to clothing, especially sunglasses, sunhats, and other types of photoprotective clothing (such as umbrellas). H.A. Milton Blake, an Australian chemist, created the first sunscreen in 1932 using a 10% concentration of the UV filter salol (phenyl salicylate).

Since they do not contain as many active ingredients, they are less likely to expire quickly. Additionally, because the sunscreen is in a spray form, it is less likely to be contaminated with bacteria or dirt, which can cause it to expire more quickly.

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Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.

Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."

This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.

The surprising thing was that quasars and active galaxies have a lot of mass in the center of the very small volume of the space.

Therefore, the surprising thing about quasars was that due to this mass and energy they are 100 times more luminous than Milky Way which means they have high recession velocity and a very large amount of red-shifting.

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The force  of  tension exerted on the crate has the same magnitude as the force of tension exerted on Stephanie.

What is force ?

a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.

The rope pulls with equal magnitude force but in opposite directions to the hand and to the mass (neglecting the weight of the rope). This is an example of Newton's third law. The rope is the medium that transmits forces of equal magnitude between the two objects but that act in opposite directions.

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A commuter train passes a passenger platform at a constant speed of 42.8 m/s. the train horn is sounded at its characteristic frequency of 342 Hz: The train's speed is st=43.5m/sst=43.5m/s.

Frequency, in physics, is the number of waves that skip a hard and fast factor in unit time; also, the number of cycles or vibrations passed through in the course of one unit of time by way of a frame in periodic movement. The frequency of a particular statistic is the number of instances the facts price occurs. We constitute the frequency of a facts fee with the aid of f. as an instance if five students were given an A in technology, after which grade A is said to have a frequency of 5.

Frequency is the range of occurrences of a repeating occasion per unit of time. it's also once in a while called temporal frequency to emphasize the assessment of spatial frequency, and normal frequency to emphasize the difference from angular frequency.

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The air blows across the straw's top at a speed of 122.79H m/s, causing water to collect there. To get water to collect at the straw's top, air is blown over it.

A moving object is said to be moving at a variable pace when it travels a varying distance at regular intervals of straw's top. The uniform speed determined by the ratio of the whole distance travelled by an object to the total amount of time it took to travel that distance is known as the average speed. Air blow straw's top are renowned to offer targeted, high-pressure output and are most ideal for automotive and industrial cleaning applications.

1/2*density* v = density*g*h

v = (density of b / 2*density*g*h)1/2

= (2*1000*9.8*h/1.3)\sv = 122.79h

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Along with cold gas that appears to be falling from the halo, we also observe hot gas far above the portion of the disk close to our solar system. This observational evidence supports the galactic fountain model, which describe how gas cycle between the disk of the galaxy and regions high above the disk.

What is the model for the galactic fountain?

The idea that hot, ionized gas that super bubbles blow off of the galactic disk and into the halo cools and returns to the disk.

What might start an interstellar fountain?

In this Milky Way graphic, the galactic fountain scenario is depicted. Supernova explosions in the galactic disc heat the interstellar medium and can force hot gas out of the disc, leading to the creation of so-called galactic fountains, which help build a halo of hot gas around the Milky Way.

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The potential difference required to store 13pc charge is 11.72Volt if a capacitor capacitance value is 1.1pf.

Capacitance is a capability just of the math of the plan of the capacitor, e.g., the restricting surface region of the plates and the distance among them, and the permittivity of the dielectric material between the plates. For the vast majority dielectric materials, the permittivity and in this manner the capacitance, is autonomous of the likely distinction between the conduits and the absolute charge on them.

The SI unit of capacitance is the farad (image: F), named after the English physicist Michael Faraday. A 1 farad capacitor, when accused of 1 coulomb of electrical charge, has a possible distinction of 1 volt between its plates. The proportional of capacitance is called elastance.

We know that charge enclosed around capacitors=product of capacitance of capacitor and potential difference around the plates of capacitors, or

=>q=CV

We have C as 1.1pf and q as 13pc

Therefore,13=1.1×V

=>V=13/1.1

=>V=11.72Volt

Hence, value of potential difference is 11.72 Volt.

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Bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. The reaction to this force is.

a. Bronco finally pushing against Earth's surface.

b. Bronco pulling up on Earth.

c. Earth's surface finally pushing against Bronco.

d. neither A, B, nor C  

Bronco pulling up on Earth

On this planet all our bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured via the acceleration that it offers to freely falling gadgets. At Earth’s surface the acceleration of gravity is ready 9.eight metres (32 feet) in step with second in keeping with 2nd. as a consequence, for every second an object is in free fall, its velocity will increase by using approximately 9.8 metres per 2nd. on the floor of the Moon the acceleration of a freely falling body is about 1.6 metres in line with second in line with second.

Skydiving, additionally called parachuting, use of a parachute—for either leisure or aggressive purposes—to slow a diver’s descent to the ground after jumping from an airplane or other excessive location. the game traces its beginnings to the descents crafted from a warm-air balloon by the French aeronaut André-Jacques Garnerin in 1797, however current skydiving is generally performed from a propeller-pushed airplane. At occasions together with the annual world free Fall convention in Quincy, Illinois, but, parachutists are afforded the possibility to jump from such diverse craft as hot-air balloons, helicopters, and a Boeing 727.

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A pendulum is a weight released from a starting point so that it can swing freely. When a pendulum is displaced sideways it restores a force due to gravity that will accelerate it back toward the equilibrium position from the resting position.

How to find initial potential energy, angular frequency, velocity and height of displacement of a pendulum?

We know, m= 0.40kg

L=0.5m

Angle = 12°

i) Main answer is : initial potential energy = PE = mgh (1-cos∅)

= 0.9×9.81×0.5×(1-cos12°)

= 0.0429 J

ii)Main answer is:  Angular frequency= W= √g/l

=4.43 rad/s

= 0.7 rev/s

iii) Main answer is : velocity of pendulum = V=√2gl(1-cos∅)

=0.46m/s

iv) Main answer is : height of displacement= h=L (1-cos∅)

=0.01m

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The pendulum's angular frequency is 4.42 rad/s, and its potential energy is 0.04 J. the pendulum's lowest in its swings has a speed of 0.44 m/s, a motion time of 0.010905 m, and a lateral distance of 0.1039 m.

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or strained, its energy increases. If a steel ball is lifted above the ground as contrasted to falling to the ground, it has higher potential energy.

Given data:

The associated mass is m=0.40kg.

The string measures L=0.5m in length.

Angle misplaced is equal to 12°.

(1). Calculate the potential energy of pendulum:

PE=mg[L−Lcosθ]

PE=0.40kg×9.8m/s[0.5m−0.5m×cos12°]

PE=0.04J

Consequently, the pendulum's potential energy is 0.04 J.

(2). Determine the pendulum's angular frequency:

[tex]\omega=\sqrt{\frac{g}{L}}[/tex]

Changing every variable in the aforementioned equation:

[tex]\omega=\sqrt{\frac{9.8 \mathrm{~m} / \mathrm{s}^2}{0.5 \mathrm{~m}}}[/tex]

ω = 4.42 rad/s

Consequently, the pendulum's angular frequency is 4.42 rad/s.

(4). Do the vertical displacement calculation:

[tex]x_V=L-L \cos \theta[/tex]

[tex]\begin{aligned}& x_V=0.5 \mathrm{~m}-0.6 \mathrm{~m} \cos 12^{\circ} \\& x_V=0.010905 \mathrm{~m}\end{aligned}[/tex]

Do the horizontal displacement calculation:

[tex]\begin{aligned}& x_H=L \sin \theta \\& x_H=L \sin 12^{\circ} \\& x_H=0.1039 \mathrm{~m}\end{aligned}[/tex]

The height of the horizontal displacement is therefore 0.1039 m, while the height of the deformation is 0.010905 m.

(3).Calculate the pendulum's rock bottom in its swing by using energy balance to determine its velocity.

KE = PE

[tex]\frac{1}{2} 0.40 \mathrm{~kg} \times v^2=0.04 \mathrm{~J}[/tex]

v = 0.44 m/s

Calculate the pendulum's velocity at its rock bottom in its swing, which is 0.44 m/s.

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Temperature and impurities are  most important factors to keep the same when looking at the meniscus to compare the surface tension of different liquids.

Define surface tension.

Surface tension is a characteristic of liquids brought on by an imbalance in molecular forces at their surfaces. The surface tension is also impacted by factors that influence the molecular forces. The liquid's nature, the environment it is in, and its purity all affect how much surface tension there is.

Impurities:

Impurities that are soluble: The surface tension may rise or fall if the contaminants are soluble. If the contaminants are less soluble, the surface tension of the liquid will be reduced. For instance, camphor lowers the surface tension of water because it is less soluble in water. On the other hand, when the contaminants are more soluble, the liquid's surface tension will rise.

Insoluble impurities :Dirt, grease, and other insoluble contaminants will reduce a liquid's surface tension.

Temperature:

As the temperature rises, the molecular attraction between liquid molecules weakens. As a result, liquid surface tension falls as liquid temperature rises.

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The atmosphere may have been thicker and had a stronger greenhouse effect, to allow liquid water to exist on the surface.

Explain in detail.

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The tension force of the cable on the elevator is 4000N.

From the question,

Mass of an elevator(m) = 500kg

It is accelerating downhill at a rate of [tex]2\frac{m}{s^{2} }[/tex]. It is necessary to determine the tension force of the cable on the elevator. We know that the net force on the elevator when it is traveling downhill is provided by:

F = m(g - a)

Here, g is the acceleration due to gravity

g = [tex]9.8\frac{m}{s^{2} }[/tex]

g ≅ 10[tex]\frac{m}{s^{2} }[/tex]

F = 500 × (10 - 2)

F = 500 × 8

F = 4000N

Therefore, the tension force of the cable on the elevator is 4000N.

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3.10 minutes is the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes.

For first order kinetics, t = 2.303/λ log[N₀]/[Nt]

Also, t₁₁₂ = 0.693/λ

λ = 0.693/t₁₁₂

From above equation:

t = 2.303 ÷ 0.693/t₁₁₂log[N₀]/[Nt]

t₁₁₂ = 0.693 × t/2.303 × log[N₀]/[Nt]

t₁₁₂ = 0.693 × 2.50/2.303 × log[55.9]/[31.7]

t₁₁₂ = 1.73/0.557

t₁₁₂ = 3.10

Therefore, 3.10 is the correct answer.

ln[A] t = -kt + ln[A] 0 is the integrated rate rule for the first-order reaction A's products. A straight line is produced when the natural log of [A] is plotted as a function of time because this equation has the form y = mx + b.

The collection of diverse processes known as radioactive decay are how an unstable atomic nucleus spontaneously emits subatomic particles. According to theory, a daughter nucleus is created when the parent nucleus decays.

When a fixed percentage of the drug is excreted per unit of time, this is known as first order kinetics. The amount of drug in the body has a direct relationship to the rate of removal. The amount of medication eliminated per unit time increases with concentration. The medication concentration decreases by 50% for each half life.

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The Chevrolet Spark accelerates at 7.1 m/s around a flat turn with a radius of curvature of 70.9 m at a speed of 22.4 m/s.

The rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates.

A is the centripetal acceleration, and V is the linear velocity.

Radius v = 22.4 m/s

Radius = 70.9 m

a = 22.42 / 70.9 m a

a = 7.1 m/s / s

Centripetal acceleration is the term used to describe the speed of a body rotating in a circle. A vector quantity, that is. It is represented as m/s2.

Consequently, the car's acceleration is 7.1 m / s

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The racing car travels with a constant tangential speed of 75.0 m/s around a circular track of radius 625 m are:

Constant Velocity , u = 75 m/s

Radius , r = 625 m

a) Total Acceleration = v^2/r

Total Acceleration = 75^2/(625)

Total Acceleration Acceleration = 9 m/s^2

The magnitude of the total acceleration is 9 m/s^2

b) Since the velocity is constant

The tangential acceleration is zero

The total acceleration is therefore the radial acceleration.

the direction of total acceleration relative to radial direction is zero

Acceleration is the name we give to the process of changing velocity. Velocity is speed and direction, so there are only two ways to accelerate. Either change speed, change direction, or change both

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Energy level 1 maximum electron capacity: 2, Energy level 2 maximum electron capacity: 8, Energy level 3 maximum electron capacity: 18 and Energy level 4 maximum electron capacity: 32.

What is Energy?
Energy, which is observable in the work performed as well as in the form of heat and light, is indeed the quantitative property that's also transferred to a body or a physical system in physics. Energy is a conserved resource; according to the principle of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) measurement unit for energy (J). The kinetic energy of the a moving object, this same potential energy held by an object (for example, due to it's own position in a field), this same elastic energy held in a solid object, chemical energy linked to chemical reactions, and radiant energy conducted by electromagnetic radiation are examples of common forms of energy.

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n = 7.5 times/minute does a boat bob up and down on ocean waves that have a wavelength of 29.6 m and a propagation speed of 7.08 m/s.

Given data :

The relation between the speed of wave, wavelength and frequency is given by :

v = f x λ

f = v / λ = 7.08 / 29.6 = 0.239 Hz

The number of times per minute the bob moves up and down is given by :

n = f x t = 0.239 x 60 = 14.35 times / minute.

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The ultimate speed is 0.333× 10⁸ ms‐¹.

The proton mass is 1.67×10−27 kg. If the spring were to break, the alpha particles would collapse and the protons would fly in the opposite direction.

Calculation:-

Deuterons:= 0.333×108ms−1

m2=3.34×1027kgu2=0

Let v be the velocity of the combination

Then from momentum conservation

m1u1+ m2u2= (m1+m2)v

1.67×1027×108+3.34×1027

= ( 1.67+3.34)×10−27×v

binding velocity

v=1.67×10−27×1085.01×10−27

= 0.333×108ms−1

A proton is a stable subatomic particle with a positive charge of +1 e elementary charge, symbol p, H+, or 1H+. Its mass is slightly less than that of a neutron, 1836 times that of an electron (proton-to-electron mass ratio). Protons and neutrons, each with about one atomic mass unit, are collectively called "nucleons" (particles present in the nucleus)

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The starting vertical velocity determines the time in the air. Increasing the relevant results lengthens the duration in the air because higher release degrees have a better and improve velocity component.

Why does physics recommend a launch angle of 45 degrees?

We see that for the lengthiest punts 2 = 90 degrees and, consequently, = 45 degrees because the sine function has an intake average of 90 degree that results in its highest output value, 1. In other words, a projectile moves and furthest when it is fired at a 45-degree angle.

Which direction has lowest range?

Range reduces with increasing projection angle.

The reach will be at its narrowest when the projected angle is extremely distant from 45 degrees.

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The lungs of the scuba diver should expand to a volume of 12L, the volume of the air will increase in her lungs with increase in temperature on the surface and the rms speed of the velocity of air will not change in her lungs.

The density of the water is given to be 1000 kg/m³. The capacity of the lungs of the diver is 6L and she goes down will 10m in the water. We can assume the temperature of the water to be constant.

A. The pressure P₁ at the surface of water is 100000 Pa.

So, the pressure at the depth of 10m in water will be given by,

P₂ = 1000x10x10 + P₁

P₂ = 100000 + P₁

P₂ = 200000 Pa

Now, we can write,

P₁V₁ = P₂V₂

Putting values,

6 x 200000 = V₂ x 100000

V₂ = 12L.

So, her lungs should expand to 12L.

B. On the surface, the pressure will be constant, so, the warming of air will further increase the volume of air in the lungs.

C. The Vrms is given by,

Vrms = √(3RT/M)

So, if the temperature is constant, the Vrms will not change because the mass of the air will also be the same.

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Centripetal acceleration of object 2 with 1 is [tex]& a c_2=2.25 a c_1[/tex]

The pace at which a body moves through a circle is known as centripetal acceleration. When a body travels in a circle, its direction is constantly changing, which results in a change in velocity, which generates an acceleration because velocity is a vector quantity (i.e., it contains both a magnitude, the speed, and a direction).

By applying the formula for the Centripetal acceleration :

[tex]& a_c=\frac{v^2}{R} \\& a_{c_1}=\frac{v_1^2}{R} \\& a_{c_2}=\frac{v_2^2}{R} \\[/tex]

[tex]& \frac{a c_2}{a c_1}=\frac{v_2^2}{v_1^2}=\left(\frac{1.5 v_1}{v_1}\right)^2=2.25 \\[/tex]

[tex]& \left.a_{c_2}=2.25 a c_1\right) \\[/tex]

By Comparing the centripetal acceleration of two objects

Centripetal acceleration of object 2 with 1 is [tex]& a c_2=2.25 a c_1[/tex]

To know more about Centripetal Acceleration

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