A ball thrown straight up into the air is found to be moving at 6.79 m/s after falling 1.87 m below its release point. Find the ball's initial speed (in m/s).

Answer:more, increased

Explanation:

Blood is four to five times more viscous than water.

Viscosity depends upon dissolved substances in blood and it increases as the amount is increases or if the fluid in the blood decreases.

Viscosity is the resistance offered by liquid to the flow and it also depends upon temperature and it decreases with increase in temperature.      

Answer:

d= 0.3898 m

Explanation:

given,

frequency of the wave = 440 Hz

speed of the sound = 343 m/s

wavelength of the wave = ?

v = λ x f

[tex]\lambda = \dfrac{v}{f}[/tex]

[tex]\lambda = \dfrac{343}{440}[/tex]

λ = 0.7795 m

distance where he should be standing

if you line them up you will see the waves have cancelled each other out

if two speaker are lined together  

The speed of sound in the air has no relevance on this question as it would not matter how fast the waves traveled but only that they travel at the same speed as each other.

The distance of half a wavelength in this case is

d = λ/2

 d = 0.7795/2

d= 0.3898 m

Final answer:

To ensure silence in front of two speakers emitting a 440Hz tone due to destructive interference, the back speaker must be positioned an odd multiple of half the wavelength of the sound away from the front speaker, with the minimum distance being half the wavelength, 0.38975 meters.

Explanation:

To achieve silence in front of the speakers by exploiting destructive interference, the back speaker must be placed at a distance corresponding to an odd multiple of half the wavelength of the sound produced. Given that the sound has a frequency of 440Hz and the speed of sound in air is approximately 343m/s, we can calculate the wavelength using the formula \(\lambda = \frac{v}{f}\), where \(\lambda\) is the wavelength, \(v\) is the speed of sound, and \(f\) is the frequency. Substituting the given values, we find that the wavelength is \(\lambda = \frac{343 m/s}{440 Hz} = 0.7795 m\). To achieve destructive interference, the distance should be an odd multiple of half this wavelength, i.e., \((2n+1)\frac{\lambda}{2}\) where \(n\) is an integer starting from 0. Thus, the minimum distance required to never hear the tone directly in front of the speakers is \(0.7795 m / 2 = 0.38975 m\), which is half the wavelength.

Answer:

Cycles per second is dependent on the construction of the alternator and the 120 volts is dependent upon the current and resistance in the circuit according to the ohms law.

Explanation:

We are given with AC of 120 volts, 20 amperes and 60 hertz frequency.

According to the Ohm's law, we find its resistance:

[tex]R=\frac{V}{I}[/tex]

[tex]R=\frac{120}{20}[/tex]

[tex]R=6\ \Omega[/tex]

So, this 6 ohm resistance controls the current controls the magnitude of the AC current, while the frequency of the current remains constant and depends upon the construction and rotational speed of the armature of the alternator producing the current.

Here the value of frequency is the number of times the current changes its direction or the polarity in one second.

The control of the AC power frequency is managed by power plant generators, which use turbine controls to ensure electricity alternates at a specific frequency, such as the standard 60 Hz in North America. Voltage and current in AC power cross zero 120 times a second due to this oscillation.

Alternating Current (AC) electric power is characterized by a voltage that alternates in polarity from positive to negative, resulting in a sinusoidal waveform. The frequency of this oscillation in North America is 60 times per second (60 Hz). This oscillation means that the voltage swings from a peak value to the opposite peak value, crossing zero in the process, twice every cycle. Therefore, for a 60 Hz AC supply, voltage and current cross zero 120 times a second.

The control of the frequency at which this oscillation occurs is managed by the generator at the power plant. In the case of a hydro-electric dam, turbine controls adjust the rotational frequency to produce the desired AC frequency. For example, in North America, these turbines are regulated to rotate in such a way that the electricity they generate alternates at 60 Hz. This regulated rotation is what ensures the consistency of the 120 volts at 60 cycles per second.

The power consumption of an electrical device such as a light bulb in an AC circuit also swings. Peak power is calculated by multiplying peak current by peak voltage. Given that the root mean square (RMS) voltage is 120 volts for a standard AC outlet, the peak voltage is actually higher, around 170 volts. Thus, for a 60-watt light bulb, the power consumption will pulse from zero up to its peak value 120 times per second, averaging out to the rated 60 watts.

Answer:36 cm

Explanation:

Given

At Equilibrium extension a is 18 cm

suppose m is the mass of block

thus

[tex]ka=mg[/tex]

[tex]k=\frac{mg}{a}[/tex]

[tex]k=\frac{mg}{0.18}[/tex]

Now if the block is released from un-stretched position

conserving Energy and supposing block moves x units down

[tex]\frac{1}{2}kx^2=mgx[/tex]

[tex]x=\frac{2mg}{k}[/tex]

[tex]x=2mg\times \frac{0.18}{mg}[/tex]

[tex]x=0.36 \approx 36 cm[/tex]

Answer:

v= - 27 m/s

Explanation:

Given that

s= t³-  9 t²-27       ( Correct from sources)

As we know that velocity given as

[tex]v=\dfrac{ds}{dt}[/tex]

v=3 t ² - 18 t               ------------1

As we know that acceleration given as

[tex]a=\dfrac{dv}{dt}[/tex]

[tex]v=\dfrac{d^2s}{dt^2}[/tex]

v=3 t ² - 18 t

a=6 t  -18

Given that acceleration is zero (a= 0 )

0 = 6 t  - 18

t=  3 sec

Now by putting the values in the equation 1

v=3 t ² - 18 t  m/s  

v=3 x 3 ² - 18 x 3 m/s

v= 27 - 54  m/s

v= - 27 m/s

Given:

As we know,

The velocity:

→ [tex]v = \frac{ds}{dt}[/tex]

  [tex]v = 3t^2 -18 t[/tex] ...(eqn 1)

and,

The acceleration:

→ [tex]a = \frac{dv}{dt}[/tex]

  [tex]a = 6t -18[/tex]

When, a = 0

→ [tex]0 = 6t -18[/tex]

 [tex]6t = 18[/tex]

   [tex]t = \frac{18}{6}[/tex]

      [tex]= 3 \ sec[/tex]

By putting the values in "eqn 1", we get

→ [tex]v = 3t^2-18t[/tex]

     [tex]= 3\times 3^2-18\times 3[/tex]

     [tex]= 27-54[/tex]

     [tex]= -27 \ m/s[/tex]

Thus the above approach is appropriate.  

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Answer:

These corridors can decrease the inbreeding in declining populations and enhance the spread of different diseases.

Explanation:

Movement corridors generally will enhance a process such as dispersal which is the spread or distribution of things over a considerably large area. These corridors can decrease the inbreeding in declining populations. They are very vital to species that usually migrate seasonally. On the other day, the movement corridor can be highly harmful in nature due to its ability of enhancing the spread of different diseases. These corridors facilitate the movement of species and allow the spread of harmful diseases.

Answer:

The entropy change of the sample of water =  6.059 x 10³ J/K.mol

Explanation:

Entropy: Entropy can be defined as the measure of the degree of disorder or randomness of a substance. The S.I unit of Entropy is J/K.mol

Mathematically, entropy is expressed as

ΔS = ΔH/T....................... Equation 1

Where ΔH = heat absorbed or evolved, T = absolute temperature.

Given:  If 1 mole of water = 0.0018 kg,

ΔH = latent heat × mass = 2.26 x 10⁶ × 1 = 2.26x 10⁶ J.

T = 100 °C = (100+273)  K = 373 K.

Substituting these values into equation 1,

ΔS =2.26x 10⁶/373

ΔS = 6.059 x 10³ J/K.mol

Therefore the entropy change of the sample of water =  6.059 x 10³ J/K.mol

The entropy change of the sample of steam is equal to 6,058.98 J/Kmol.

Given the following data:

To determine the entropy change of the sample of steam:

Mathematically, entropy change is given by the formula:

[tex]\Delta S = \frac{\Delta H}{T}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]\Delta S = \frac{2.26 \times 10^6\times 1}{373}[/tex]

Entropy change = 6,058.98 J/Kmol.

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Answer:

Maritime polar and tropical which are cool/humid and warm/humid respectively. Continental polar and tropical which are dry/cold and dry/hot respectively. The maritime is associated with water while the continental is associated with land.

Explanation:

Maritime/polar air masses are humid and cool in nature. They move toward the top at the continental tropical air masses which are also humid but warm at the bottom. In addition, the maritime is associated with water while the continental is associated with land. We can have maritime polar and tropical which are cool/humid and warm/humid respectively. Furthermore, we can have continental polar and tropical which are dry/cold and dry/hot respectively.

Final answer:

Polar air masses form in high-latitude, cold regions and can be dry (continental) or moist (maritime), while tropical air masses form near the equator in warm regions and are generally moist (maritime) or dry (continental).

Explanation:

The source regions of polar and tropical air masses differ mainly in terms of their geographical locations and their temperature and humidity characteristics, which are influenced by whether they form over land or water. Polar air masses originate in high-latitude regions around 60° north or south, and are typically cold with continental polar air masses being dry while maritime polar air masses are somewhat moist. In contrast, tropical air masses form closer to the equator, between 15° and 35° north and south latitude, and are warm, with maritime tropical air masses being moist and continental tropical air masses being dry due to the deserts they often originate from, such as the Sahara and Australian deserts.

Answer:

A. The object falls a distance of 250 m

Explanation:

Hi there!

In the question, you have forgotten the acceleration due to gravity. However, looking on the web I´ve found a very similar problem in which the acceleration due to gravity was as twice as much as it is on Earth.

The equation of height of a falling object is the following:

y = y0 + v0 · t + 1/2 · g · t²

Where:

y = height of the object after a time t.

y0 = initial height.

v0 = initial velocity.

t = time.

g = acceleration due to gravity (on Earth: ≅ -10 m/s² considering the upward direction as positive).

Let´s place the origin of the system of reference at the point where the object is released so that y0 = 0. Since the object falls from rest, v0 = 0.

Then, the height of the object after 5 s will be :

y = 1/2 · 2 · g · t²    (notice that the acceleration due to gravity is 2 · g)

y = g · t²

y = -10 m/s² · (5 s)²

y = -250 m

The object falls a distance of 250 m.

The object falling on this other planet with the same gravity as Earth falls a distance closest to 250m in 5 seconds, according to the standard formula and doubling the Earth result.

Given the planet where the object is falling has the same acceleration due to gravity as Earth, we can use the formula for the distance fallen, d (in meters), over a certain time, t (in seconds), assuming the object falls from rest. This formula is d = 0.5 * g * t^2, where g is the acceleration due to gravity. For Earth, g is approximately 9.8 m/s^2.

When t=5 seconds on Earth, using the given formula, d = 0.5 * 9.8 * (5^2) = 122.5 meters. Since the object on the other planet falls twice the distance in the same time, the object falls 2 * 122.5 = 245 meters. Thus, Choice A) 250 m is the closest to the calculated value.

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The force required is equal to 148.33 N.

Why?

To answer your question, I'll assume that the value of 0.35 is referring to the coefficient of kinetic friction. So, we can solve the problem using the following equations:

[tex]F-F_{f}=m*a\\\\FrictionalForce=\mu *m*g\\\\F_{f}=0.35*25kg*9.81m\frac{m}{s^{2}}=85.83N[/tex]

Now, substituting, we have:

[tex]F-F_{f}=m*a\\\\F=25kg*2.5\frac{m}{s^{2}}+85.83N\\\\F=62.5N+85.83N=148.33N[/tex]

Hence, we have that the force required to accelerate the box at a rate of 2.5 m/s2 is 148.33N.

Have a nice day!

Answer:

a)   # lap = 301.59 rad , b)   L = 90.48 m

Explanation:

a) Let's use a direct proportions rule (rule of three). If one turn of the wire covers 0.05 cm, how many turns do you need to cover 24 cm

          # turns = 1 turn (24 cm / 0.5 cm)

         # laps = 48 laps

Let's reduce to radians

        # laps = 48 laps (2 round / 1 round)

       # lap = 301.59 rad

b) Each lap gives a length equal to the length of the circle

          L₀ = 2π R

          L = # turns L₀

          L = # turns 2π R

          L = 48 2π 30

          L = 9047.79 cm

          L = 90.48 m

The spool needs to be turned through 2π radians to wrap one even layer of wire. The length of the wound wire can be calculated using the circumference formula.

Part a: To wrap one even layer of wire around the spool, the spool must be turned through an angle of 2π radians because one complete revolution is equal to 2π radians.

Part b: To calculate the length of the wire wound on the spool, we find the circumference of the spool using the formula: circumference = 2πr, where r is the radius of the spool (30 cm). The length of the wound wire is the product of this circumference and the height of the spool (24 cm).

Answer:

The 3 main energy matter components are Coal, natural gas and hydro

Explanation:

The 3 most important energy components that are frequently being used for the generation of the energy i.e. coal which constitutes 41% it has the maximum contribution or can say mostly utilized after that comes natural gas which again constitutes 22% and followed by Hydro which is just 16%. with the rise of civilization people get aware of these energy components by coming across it in various phase of life.

Answer:

Economic growth can be illustrated by:

d.  an outward shift of the production possibilities curve.

Explanation:

Economic growth is the process of increasing the economy's ability to produce goods and services. It is achieved by increasing the quantity or quality of resources.

Production Possibilities refers to the ability of a country to produce goods or services given the limited resources and technology.  It is therefore possible to increase production of both goods at the same time as long as resources allow it.

The Production Possibilities Curve, also known as the production possibilities frontier, is a graph that shows the maximum number of possible units a company can produce if it only produces two products using all of its resources efficiently. Firstly, and most commonly, growth is defined as an increase in the output that an economy produces over a period of time, the minimum being two consecutive quarters. An increase in an economy's productive potential can be shown by an outward shift in the economy's production possibility frontier (PPF).

Each point on the curve shows how much of each good will be produced when resources shift from making more of one good and less of the other. The curve measures the trade-off between producing one good versus another.PPC or production possibility curve is a curve whose basic purpose is to show the different possible combinations of two goods that can be produced within the given available resource.

The two main characteristics of PPC are: slopes downwards to the right: PPC slopes downwards from left to right. It is because in a situation of fuller utilization of the given resources, production of both the goods cannot be increased simultaneously.

Economic growth is represented by an outward shift of the production possibilities curve, indicating that the economy can now produce more goods and services than before.

Economic growth can be illustrated by an outward shift of the production possibilities curve. An increase in the quality or quantity of factors of production, such as labor, capital, and technology, can enhance an economy's ability to produce goods and services, which is represented graphically by the production curve moving outward. This shift indicates that the economy can now produce more than it could before, making previously unattainable levels of production possible.

Answer:

a) I = -2257.6 Kg*m/s

b) F = -451,520N

Explanation:

part a.

we know that:

I = [tex]P_f-P_i[/tex]

where I is the impulse, [tex]P_f[/tex] the final momentum and [tex]P_i[/tex] the initial momentum.

so:

I = [tex]MV_f-MV_i[/tex]

where M is the mass, [tex]V_f[/tex] the final velocity and [tex]V_i[/tex] the initial velocity.

Therefore, we have to find the initial velocity or the velocity of the passenger just before the collition.

now, we will use the law of the conservation of energy:

[tex]E_i=E_f[/tex]

so:

mgh = [tex]\frac{1}{2}MV_i^2[/tex]

where g is the gravity and h the altitude. So, replacing values, we get:

(85kg)(9.8m/s^2)(36m)= [tex]\frac{1}{2}(85kg)V_i^2[/tex]

solving for [tex]V_i[/tex]:

[tex]V_i = 26.56m/s[/tex]

Then, replacing in the initial equation:

I = [tex]MV_f-MV_i[/tex]

I = [tex](85kg)(0m/s)-(85kg)(26.56m/s)[/tex]

I = -2257.6 Kg*m/s

Then, the impulse is -2257.6 Kg*m/s, it is negative because it is upwards.

part b.

we know that:

Ft = I

where F is the average force, t is the time and I is the impulse. So, replacing values, we get:

F(0,005s) = -2257.6 Kg*m/s

solving for F:

F = -451520N

Finally, the force is -451,520N, it is negative because it is upwards.

Answer:

c) 0.0625 J

Explanation:

How the mechanical energy is conserved, then ball’s kinetic energy is equal to stored energy in compressed spring.

Then:

[tex]K = U_{e}[/tex]

         Where K: kinetic energy

                     [tex]U_{e}[/tex]: elastic potential energy

[tex]K = \frac{mv^{2} }{2}[/tex]

[tex]K = \frac{(0.005)(5)^{2} }{2}[/tex]

K = 0.0625 J

and

  [tex]U_{e}[/tex] = 0.0625

Answer:

1.894 × 10^-4 m

Explanation:

mass of the man = 72 kg, mass of the equipment = 400 kg

total mass on top of the antenna = 72 + 400 = 472 kg

total weight of the man and equipment = total mass × acceleration due to gravity (g, 9.81 m/s²) =  472 × 9.81 = 4630.32 N

to calculate the ΔL ( how much the antenna was compressed), we use the formula below

E = stress/ strain = (F/A) / (ΔL/L) = FL / ΔLA where F is the force in Newton, A is the surface area of the circular face  of the antenna in m²

E = 2.1 × 10^11 N/m² which is the young modulus of steel

A = πr² = 3.142 × (0.150²) = 0.071m²

make ΔL the subject of the formula

ΔL = FL / AE

substitute the values into the equation

ΔL = (4630.32 × 610) / ( 0.071 × 2.1 × 10^11) = 1.894 × 10^-4 m

Answer:

a ) 21 m b) 7 m/s

Explanation:

For this case, we can consider for our reference system, that point zero (this is, at the rest of the traffic signal) is when X₀ = 0, and direction of movement is from left to right (positive sign)

For the car:  

a= acceleration is constant = 5 m/s² m1 , mass = 1100 Kg , V = not constant

This is an uniformly accelerated rectilinear movement, and applicable formulas are:

V = V₀ + at , X = X₀ + V₀t + 1/2at²

For the truck:

V = speed is constant = 7 m/s , mass = 2000 Kg, a = 0

This is an uniform rectilinear movement, and the applicable formula is:

X = X₀ + Vt

a) At t = 3.0 sec, we can use the formula for the track, considering that X₀ = 0 (when it pass the rest of the traffic signal)

X = 0 + (7 m/s)x(3 s) = 21 m  

So, at 3 sec, truck will be at 21 m from the rest of traffic light and, as truck has a constant speed; at that exact second; truck and car will be together as a com, so both will be 21 m away from point zero

b) At the exact time (3 sec, or in distance words, 21 m) car and truck will be together as a com, so they will both have the exact speed, hence, speed of car at that point will be 7 m/s

Answer:

Their combined velocity on the inner tube is +3.55 m/s

Explanation:

This question deals with the conservation of linear momentum. The total linear momentum in a closed system is conserved.

Therefore,

P_i = P_f

m₁ v₁  + m₂ v₂  = (m₁ + m₂) v₁₂

where

Therefore,                                                                        

v₁₂ = (m₁ v₁  + m₂ v₂) / (m₁ + m₂)

v₁₂ = ( (69 kg)(3 m/s)  + (59 kg)(4.2 m/s) ) / (69 kg + 59 kg)

v₁₂ = +3.55 m/s

Therefore, Ashley and Miranda's combined velocity on the inner tube is +3.55 m/s.

The positive sign shows that the velocity is in the positive direction.

Answer:

The frequency of the wave = 10 Hz.

Explanation:

Wave: A wave is a disturbance that travels through a medium a transfer energy from one point to another in the medium without causing and permanent displacement of the medium itself.

V = λf .................. Equation 1

making f the subject of the equation,

f = V/λ.................... Equation 2

Where V = velocity of the wave, λ = wavelength of the wave, f = frequency of the wave.

Given: V = 15 m/s², λ = 4.5 m.

Substituting these values into equation 2,

f = 15/1.5

f = 10 Hz.

Therefore the frequency of the wave = 10 Hz.

Answer:

The frequency of the wave = 10 Hz.

Explanation:

the guy below gave a good explanation

Answer:

a)1.37 s

b)∞ ( Infinite)

Explanation:

Given that

L= 47 cm              ( 1 m =100 cm)

L= 0.47 m

a)

On the earth :

Acceleration due to gravity = g

We know that time period of the simple pendulum given as

[tex]T=2\pi\sqrt{ \dfrac{L}{g_{{eff}}}[/tex]

Here

[tex]g_{eff}= g[/tex]

Now by putting the values

[tex]T=2\pi \times\sqrt{ \dfrac{0.47}{9.81}}[/tex]

T=1.37 s

b)

Free falling elevator :

When elevator is falling freely then

[tex]g_{eff}= 0[/tex]            ( This is case of weightless motion)

Therefore

[tex]T=2\pi\sqrt{ \dfrac{L}{0}[/tex]

T=∞  (Infinite)

(a) The period of a simple pendulum  47 cm long when on the earth  = 1.38 seconds

(b) The period of a simple pendulum when it is in a freely falling elevator = infinity (∞)

Period: This can be defined as the time taken for an object to complete one oscillation. The s.i unit is seconds (s)

The formula for the period of a simple pendulum is

T = 2π√(L/g).................... Equation 1

Where T = period of the simple pendulum, L = length of the simple pendulum, g = acceleration due to gravity.

(a) From the question,

Given: L = 47 cm = 0.47 m,

Constant: g = 9.8 m/s²,  π = 22/7 ≈ 3.14

Substitute these values into equation  1

T = 2(3.14)√(0.47/9.8)

T = 6.284√(0.048)

T = 6.284(0.219)

T = 1.38 seconds

(b) When it is in a free-falling elevator,

   Then g = 0 m/s²

T = 2(3.142)√(0.47/0)

T = Infinity (∞)

Therefore, The period of the simple pendulum is (a) 1.38 seconds when it is on the earth and  (b) infinity (∞) when it is in a freely falling elevator.

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Answer:

1398.12 N

Explanation:

We define the x-axis in the direction parallel to the movement of the truck  on and the y-axis in the direction perpendicular to it.

x-components  of the ropes forces

T₁x = 615N*cos31°=527.1579 N  :Tension in direction x of the rope of the car 1

T₂x= 961 N*cos25°=870.96 N  :Tension in direction x of the rope of the car 2

Net forward force exerted on the truck in the direction it is headed (Fnx)

Fnx = T₁x  + T₂x

Fnx = 527.1579 N  + 870.96 N

Fnx = 1398.12 N

Answer: A.

In an atom, protons and neutrons are in the nucleus, which is surrounded by electrons.

Explanation:

It must first be noted that an atom consists of protons, neutrons and electrons.

The proton and neutron is contained in the atom while the electron is found in the outer most shell of the atoms. It can be concluded then that in an atom, protons and neutrons are in the nucleus, which is surrounded by electrons.

Answer:

A

Explanation:

The comparison of the Lagrangian and Newton methods are explained. Explanation:

The Newton-Euler Method is derived by Newton's Second Law of Motion, that describes the dynamic systems in terms of force and momentum.

It deals with concentration of particles to calculate the overall diffusion and convection of a number of particles.

The Lagrangian Method the dynamic behavior is described in terms of work and energy.

It deals with individual particles to calculate the trajectory of each particle separately.

The Lagrangian method and the Newton-Euler method are two approaches used to solve problems in classical mechanics involving Newton's laws of motion. The Newton-Euler method relies directly on Newton's second law and free-body diagrams, while the Lagrangian method is based on the principle of least action and the Euler-Lagrange equations. The choice between the two methods often depends on the complexity and nature of the physical system in question.

When comparing the Lagrangian method with the Newton-Euler method, it is important to understand that both approaches are used to solve complex problems in classical mechanics, which often involve the application of Newton's laws of motion. The Newton-Euler method is more traditional and is founded upon direct application of Newton's second law, F=ma (force equals mass times acceleration), and the related concepts for rotary motion. This method involves creating a free-body diagram, identifying all the forces acting on the object, and applying Newton's second law to find the accelerations and subsequently the positions and velocities of the object in question.

Contrastingly, the Lagrangian method is a more modern approach, which is grounded in the principle of least action. Instead of focusing on forces, it involves the calculation of the Lagrangian, which is the difference between an object's kinetic and potential energies, and applying the Euler-Lagrange equations to find the equations of motion. This method is particularly powerful in systems where the forces are conservative and can be derived from a potential energy; the Lagrangian method is also more convenient when dealing with complex constraints and coordinate systems that are not Cartesian.

While the Newton-Euler method is practical and straightforward, especially in simple scenarios with few forces or when numerical solutions are required, the Lagrangian approach offers more flexibility and can simplify calculations in systems with symmetries or non-standard geometries. Understanding the application of these methods is an integral part of a problem-solving procedure when using Newton's laws of motion, and both methods reinforce concepts useful across various areas of physics.

Answer:

The horizontal distance of the target should be 2721,4 meters.

Explanation:

First of all we need to find the time that the emergency package hits the ground after the moment of release:

y=0 (because when it hits the ground it is on the level of 0m);

[tex]0=-4,9*t^2+3000\\t=24,74[/tex]

The emergency package hits the ground after 24,74 seconds from release.

Lets assume that package preserves his 110 m/s horizontal speed during the free fall. The targets horizontal distance is:

[tex]110*24,74=2721,4[/tex]

2721,4 meters

Answer:

7.61 m/s backwards

Explanation:

Initial momentum = final momentum

0 = (880 kg) v + (12.4 kg) (540 m/s)

v = -7.61 m/s

The cannon's recoil is 7.61 m/s backwards.

Answer:

The recoil velocity vector of the cannon is [tex](7.609,0,0)\frac{m}{s}[/tex]

Explanation:

We can solve this problem by applying the Momentum Conservation Principle.

The principle of conservation of momentum states that when you have an isolated system with no external forces, we can use the following equation to calculate the final velocity of one object.

[tex]m1.v1=m2.v2[/tex] (I)

Where ''[tex]m1[/tex]'' and ''[tex]v1[/tex]'' are the mass and velocity of the first object.

And where ''[tex]m2[/tex]'' and ''[tex]v2[/tex]'' are the mass and velocity of the second object.

The momentum is a vectorial magnitude.

If we use the equation (I) with the data given :

[tex](880kg).v1=(12.4kg).(540\frac{m}{s})[/tex]

[tex]v1=7.609\frac{m}{s}[/tex]

If we considered as negative the sense of the velocity vector from the cannonball, the cannon's velocity vector will have the same direction but opposite sense that the cannonball's velocity vector (It will be positive).

We can give it a vectorial character like this :

[tex]v1=(7.609,0,0)\frac{m}{s}[/tex]

The velocity vector will be entirely in the x-axis.

Answer:[tex]30^{\circ}[/tex]

Explanation:

Given

[tex]v_1=2 liter[/tex]

volume of water in bucket [tex]v_2=10 liter[/tex]

density of water [tex]\rho =1 kg/liter[/tex]

thus [tex]m_1=\rho \cdot v_1=2 kg[/tex]

[tex]m_2=\rho \cdot v_2=10 kg[/tex]

[tex]T_2=20^{\circ}C[/tex]

suppose [tex]T_1=80^{\circ}C[/tex]

Conserving heat energy i.e. heat lost by water is gained by water in bucket

[tex]m_1cT_1+m_2cT_2=(m_1+m_2)T[/tex]

where T=final Temperature

[tex]T=\frac{m_1T_1+m_2T_2}{m_1+m_2}[/tex]

[tex]T=\frac{160+200}{12}[/tex]

[tex]T=30^{\circ}C[/tex]                  

Answer:

b. maintain the same rate of firing as if there was no light presented.

Explanation:

The neuron will maintain the same rate of firing as if there was no light presented.

Receptive filed of neuron is place on its sensory surface generally on the back of eye that an stimulus must reach to activate the neuron. The bright light cannot change the  rate of firing of the neuron.

Neurons are messengers of information. A neuron that has its full receptive field exposed to strong light will maintain the same rate of firing as if there was no light present because of its center-surround arrangement.

Neurons are messengers of information. They transfer information between different parts of the brain and between the brain and the rest of the nervous system through electrical impulses and chemical signals.

A neuron that has its full receptive field exposed to strong light Hence it will maintain the same rate of firing as if there was no light present because of its center-surround arrangement.

To know more about  the neurons refer to the link;

https://brainly.com/question/9401108

Answer:

215.35736 seconds

Explanation:

[tex]m_1[/tex] = Mass of astronaut = 84.5 kg

[tex]m_2[/tex] = Mass of wrench = 0.613 kg

[tex]v_1[/tex] = Velocity of astronaut

[tex]v_2[/tex] = Velocity of wrench = 24.9 m/s

In this system the linear momentum is conserved

[tex]m_1v_1=m_2v_2\\\Rightarrow v_1=\dfrac{m_2v_2}{m_1}\\\Rightarrow v_1=\dfrac{0.613\times 24.9}{84.5}\\\Rightarrow v_1=0.18063\ m/s[/tex]

Time is given by

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{38.9}{0.18063}=215.35736\ s[/tex]

The time it will take the astronaut to get back to the ship is 215.35736 seconds

Answer: Small intestine

Explanation: This is because the small intestine is the place where absorption of minerals and nutrients from food takes place.

The small intestine is also known as small bowels, it is located between the large intestine and the stomach where the pancreatic duct supplies it with pancreatic juice and bile that helps digestion.

Answer:

Angle: [tex]48.19^o[/tex]

Explanation:

Two-Dimension Motion

When the object is moving in one plane, the velocity, acceleration, and displacement are vectors. Apart from the magnitudes, we also need to find the direction, often expressed as an angle respect to some reference.

Our boy can swim at 3 m/s from west to east in still water and the river he's attempting to cross interacts with him at 2 m/s southwards. The boy will move east and south and will reach the other shore at a certain distance to the south from where he started. It happens because there is a vertical component of his velocity that is not compensated.

To compensate for the vertical component of the boy's speed, he only has to swim at a certain angle east of the north (respect to the shoreline). The goal is to make the boy's y component of his velocity equal to the velocity of the river. The vertical component of the boy's velocity is

[tex]v_b\ cos\alpha[/tex]

where [tex]v_b[/tex] is the speed of the boy in still water and [tex]\alpha[/tex] is the angle respect to the shoreline. If the river flows at speed [tex]v_s[/tex], we now set

[tex]v_b\ cos\alpha=v_s[/tex]

[tex]\displaystyle cos\alpha=\frac{v_s}{v_b}=\frac{2}{3}[/tex]

[tex]\alpha=48.19^o[/tex]