Air passes over the top of an airplane wing at 170 m/s.

Answer:

B. Cart B

Explanation:

Answer:

a) 24525 Newtons

b)240590.25 Joules

c)4009.8375 Watt

d)294300 Joules

Explanation:

a) Weight is a force, and can be calculated by multiplying mass by acceleration due to gravity. Earth's acceleration due to gravity is 9.81m/s/s. To find the water's weight, we multiply its mass (2500) by acceleration due to gravity.

W=mg

=(2500)(9.81)

=24525 Newtons

b) Work is calculated by multiplying force by distance. In this case, the force is the weight (as found in part a) and the distance is 16m.

W=fd

=(24525)(9.81)

=240590.25 Joules

c) Power is calculated by dividing the work by the time. In this case the work is our answer for part b and the time is sixty seconds.

P=w/t

=240590.25/60

=4009.8375 Watt

d) The first bit of part d tells us that (the waters potential energy)(0.75)=(electric energy). To find potential energy, multiply mass by acceleration due to gravity by height.

PE=mgh

=2500*9.81*16

=392400 Joules

Multiply by 0.75 to find electric energy: 294300 Joules

The frequency of the sixth overtone would be 576 Hz.

To determine the length of a tube closed at one end, we can use the formula:

L = (v/4f) * (2n - 1)

where L is the length of the tube, v is the speed of sound in air, f is the fundamental frequency, and n is the harmonic number.

Given that the fundamental frequency is 96 Hz, we can substitute the values into the formula:

L = (v/4f) * (2n - 1)

L = (v/4*96) * (2*1 - 1)

L = v/384

To find the length at 0ºC, we need to know the speed of sound at that temperature. The speed of sound in air depends on temperature and other factors. At 0ºC, the speed of sound in dry air is approximately 331.4 m/s.

L = 331.4/384

L ≈ 0.862 m

Therefore, the tube closed at one end should have a length of approximately 0.862 meters when the air temperature is 0ºC.

To find the frequency of the sixth overtone, we multiply the fundamental frequency by six: Frequency of sixth overtone = 96 Hz * 6 = 576 Hz.

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To convert this computed volume from mL to L, simply divide the provided quantity of ethanol by its density: 500g(mL0.789g)(L1000mL)=0.633L. 500g(mL0.789g)(L1000mL) = 0.633L.

Ingestion, inhalation, and skin absorption of ethanol are all dangerous. Frequent contact can cause the skin to become dry, which can cause it to become itchy, crack, and peel. The central nervous system, the eyes, and the upper respiratory tract can all be affected by ethanol.

The term "alcohol" refers to a wide variety of compounds that are created when one atom of carbon interacts with oxygen, hydrogen, and other atoms. Yet, all alcohol in alcoholic beverages is a particular little molecule known as ethanol.

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The maximum velocity of the pendulum is determined as 3.03 m/s.

The maximum velocity of the pendulum is calculated from the principle of conservation of energy as shown below;

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √2gh

where;

v = √(2 x 9.8 x 0.468)

v = 3.03 m/s

Thus, the maximum velocity of the pendulum is determined as 3.03 m/s.

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The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.

The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.

Initially, the capacitor is uncharged, so the second term is zero.

Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.

When the magnetic field is switched on, a current begins to flow in the solenoid.

This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.

Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.

The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.

Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.

This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.

The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)

The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)

The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)

This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.

The solution is t = 1.74 ms.

The units are in seconds.

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All three characteristics of muscular tension, edge shape, and mass influence the fundamental pitch of the speaking voice. thus option D is the answer.

Muscular tension, edge shape, and mass are all factors that can influence the fundamental pitch of the speaking voice. Muscular tension affects the tension of the vocal cords, which in turn affects the pitch. Edge shape refers to the way that the edges of the vocal cords vibrate, and this can also influence the pitch. Mass refers to the physical mass of the vocal cords, and thicker vocal cords will vibrate more slowly and produce a lower pitch. Therefore, all three of these characteristics can influence the fundamental pitch of the speaking voice.

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Answer:

See the answers below.

Explanation:

Momentum is defined as the product of mass by velocity, in this way we have the following equation.

\(P=m*v\)

where:

P = momemtum [kg*m/s]

m = mass = 1500 [kg]

v = velocity = 6 [m/s]

\(P = 1500*6\\P=9000 [kg*m/s]\)

Now we have to calculate the momentum of the plane when it travels at 30 [m/s].

\(P_{airplane}=m_{plane}*v_{plane}\\P_{airplane}=7800*30\\P_{airplane}=234000[kg*m/s]\)

Now this same momentum must be conserved, in such a way that the mass is increased but the velocity must decrease for the momentum to be conserved.

\(P=m_{new}*v_{new}\\234000=(7800+800)*v_{new}\\234000=8600*v_{new}\\v_{new}=27.2[m/s]\)

Answer:

1.  9000 kg-m/s

2.  27.2 m/s

Answer:

A

Explanation:

vertical acceleration = acceleration due to gravity = -9.8 m/s²

Answer:

A. –9.8 m/s2

Explanation:

Explanation:

Contact, vision, sound, flavor, and smell are all markers of energy transformations. The most basic example would be when we notice something has begun to pass through vision. Whenever an entity accelerates or slows down, energy is constantly transformed.

A would land before since its heavier

Answer:

P=mv

1x450,200=m40

m= 36,255kg

THERE ARE COMMONLY THREE SYSTEMS OF UNIT. THEY ARE:-

• CGS System- (Centimeter-Gram-Second system) A metric system of measurement that uses the centimeter, gram and second for length, mass and time.

• FPS System- (Foot–Pound–Second system).

The system of units in which length is measured in foot , mass in pound and time in second is called FPS system. It is also known as British system of units.

• MKS System- (Meter-Kilogram-Second system) A metric system of measurement that uses the meter, kilogram, gram and second for length, mass and time. The units of force and energy are the "newton" and "joule."

Answer:

  see below

Explanation:

The position graph will be a horizontal line (of constant position) located at the negative value representing the position to the left of the origin.

The velocity graph will be a horizontal line at 0, since the object is at rest.

The acceleration graph will be a horizontal line at 0, since the object's velocity is not changing.

The initial momentum of the 25 kg object is 25 kg * 12 m/s = 300 kgm/s. After the collision, the momentum of the 25 kg object is 25 kg * 8 m/s = 200 kgm/s. According to the conservation of momentum, the momentum lost by the 25 kg object is equal to the momentum gained by the box. Therefore, the resulting momentum of the box is 300 kgm/s - 200 kgm/s = 100 kg*m/s.

Answer:

Problem 8  

a) Potential energy

b) Kinetic energy

c) PE initial + KE initial = PE final + KE final

d) speed = 12.52  m/s

Problem 9

The KE part should be completed with:

0 J

3750 J

7500 J

11250 J

15000 J

as shown below

Explanation:

Problem 8:

a) When the chunk of ice is at the top of the roof, it is NOT moving, and therefore its kinetic energy is ZERO, and all energy it has is potential energy (PE)

b) When it is at a fraction of an inch from the ground, The energy it has is basically Kinetic Energy (KE) due to its motion, and the potential energy is nearly zero because it distance from the ground is almost zero.

c) The conservation of energy formula stated that the total mechanical energy (given by the addition of potential energy (PE) plus the Kinetic Energy (KE) must be constant at any position of the falling chunk of ice cube in its movement downwards.

PE initial + KE initial = PE final + KE final

d) Using the equation above and the information given to us, we can estimate the speed of the ice chunk as it hits the ground:

PE initial + KE initial = PE final + KE final

(15 * g * 8) +   0   =   0    + 1/2  15  v^2

where v is the magnitude of the velocity of the chunk of ice as it hits the ground.

Solving for v:

v^2 = 2 * g * 8 = 156.8  m^2/s^2

v = 12.52  m/s

Problem 9:

We used the conservation of Total mechanical energy given above:

PE initial + KE initial = PE final + KE final  to obtain:

PE                KE

15000 J       0 J

11250 J        3750 J

7500 J        7500 J

3750 J        11250 J

0 J               15000 J

Answer: IT IS B TRUST ME BYE

Explanation: ITS B TRUST ME

The steady force required of each rocket is 27,875 N.

The steady force required by each rocket along the circular path is calculated as follows;

F = ma

where;

The centripetal acceleration of each rocket is calculated as follows;

a = ω²r

where;

ω = 46 rpm = 46 rev/min x 2π rad/rev x 1 min/60s = 4.82 rad/s

t = 7 min = 7 x 60 s = 420 s

a = ω²r

a = (4.82²) x 4.8 m

a = 111.5 m/s²

The steady force is calculated as follows;

F = ma

F = 250 x 111.5

F = 27,875 N

Thus, the steady force required of each rocket is determined by applying the concept of centripetal force.

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Weight is compared with the gravitational force exerted on each of them by the Earth.

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

When mass increases and distance reduces, gravity rises. Gravity also lowers when the distance between two points grows and the mass decreases.

The gravitational force is balanced by weight;

\(\rm F = W \\\\ G\frac{mM}{r^2} =mg\)

Hence, weight is compared with the gravitational force exerted on each of them by the Earth.

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Answer:

 t = 1.62 h

Explanation:

A flat mirror fulfills the law of reflection where the incident angle is equal to the reflected angle.

          θ_i = θ_r

If we use trigonometry to find the angles, the mirror is at a height of L = 1.87 m,   and the reflected rays reach a distance x1 = 3.56 m

         tan θ₁ = x₁ / L

         tan θ₁ = \(\frac{3.56}{1.87}\)

         θ₁ = tan⁻¹  1.90

         θ₁ = 62.29º

for the second case x₂ = 1.46 m

        tan θ₂ = x₂ / L

        θ₂ = tan⁻¹  \(\frac{1.46}{1.87}\)

        θ₂ = 37.98º

the difference in degree traveled is

         Δθ = θ₁- θ₂

          Δθ = 62.29 - 37.98

          Δθ = 24.31º

as in the exercise they indicate that every 15º there is an hour

         t = 24.31º (1h / 15º)

         t = 1.62 h

Given:

The distance covered by bacterium is d=6.82 microns.

The time taken to cover the distance is t=3.5 s.

The speed of bacterium is given as,

Substitute the given values,

Thus, the speed of bacterium is

Setting goals and maximizing retirement accounts are necessary steps in creating a long-term investment strategy for a safe retirement.

A thorough plan that outlines a person's retirement objectives is a long-term retirement strategy.

The worker or investor must begin early planning in order to enjoy a future that is financially secure by:

Thus, setting goals and maximizing retirement savings are necessary for developing a long-term investing strategy for a safe retirement.

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Answer: a + b = (-2,5)

Explanation: I'm assuming that these are 1-dimensional matrices or vectors.

So,

a + b = [ a(x) + b(x), a(y) + b(y) ]

        = [ (3) + (-5) , (2) + (3) ]

        = [ (-2) , (5) ]

a +b = (-2,5)

Assuming standard atmospheric conditions, the air pressure at sea level is approximately 1013.25 hectopascals (hPa) or 1 atmosphere (atm). The air pressure decreases with altitude following the barometric formula, which states that pressure decreases by about 1 hPa for every 8 meters of ascent.

Using this formula, we can estimate the air pressure at 1200 meters above sea level as follows:

1200 m / 8 m per hPa = 150 hPa

Therefore, the hiker on a mountain ridge 1200 meters above sea level would experience an air pressure of approximately 863.25 hPa (1013.25 hPa - 150 hPa) or about 0.85 atm.

Answer:

The voltage across the capacitor will remain constant

The capacitance of the capacitor will increase

The electric field between the plates will remain constant

The charge on the plates will increase

The energy stored in the capacitor will increase

Explanation:

First of all, if a capacitor is connected to a voltage source, the voltage or potential difference across the capacitor will remain constant. The electric field across the capacitor will stay constant since the voltage is constant, because the electric field is proportional to the voltage applied. Inserting a dielectric material into the capacitor increases the charge on the capacitor.

The charge on the capacitor is equal to

Q = CV

Since the voltage is constant, and the charge increases, the capacitance will also increase.

The energy in a capacitor is given as

E = \(\frac{1}{2}CV^{2}\)

since the capacitance has increased, the energy stored will also increase.

Answer:

The fraction of kinetic energy to the total energy is \(\frac{K}{T}=\frac{8}{9}\).

Explanation:

displacement is one third of the amplitude.

Let the amplitude is A.

x= A/3

The kinetic energy of the body executing SHM is

\(K = 0.5 mw^2(A^2 - x^2)\\\\K = 0.5 m w^2 \left ( A^2 -\frac{A^2}{9} \right )\\\\K = 0.5 mw^2\times \frac{8A^2}{9}......(1)\)

The total energy is

\(T =0.5 mw^2A^2 ..... (2)\)

Divide (1) by (2)

\(\frac{K}{T}=\frac{8}{9}\)

Answer:

x₂ = 1.33 m

Explanation:

For this exercise we must use the rotational equilibrium condition, where the counterclockwise rotations are positive and the zero of the reference system is placed at the turning point on the wall

            Στ = 0

            W₁ x₁ - W₂ x₂ = 0

where W₁ is the weight of the woman, W₂ the weight of the table.

Let's find the distances.

Since the table is homogeneous, its center of mass coincides with its geometric center, measured at zero.

           x₁ = 2.5 -1.5 = 1 m

The distance of the person is x₂ measured from the turning point, at the point where the board begins to turn the girl must be on the left side so her torque must be negative

            x₂ = \(\frac{M_1g }{m_2 g} \ x_1\)

let's calculate

           x₂ = \(\frac{100}{75} \ 1\)

           x₂ = 1.33 m

1/(1/2+1/5) = 10/7 hours