An airliner arrives at the terminal, and the engines are shut off. The rotor of one of the engines has an initial clockwise angular speed of 1940 rad/s. The engine's rotation slows with an angular acceleration of magnitude 79.3 rad/s2. (a) Determine the angular speed after 10.0 s. (b) How long does it take the rotor to come to rest?

The amount of work done to push the protons is 7.67 X 10⁻¹⁴ J. If the protons are both released from rest at the closer distance, then the speed at which they reach their original separation is 6.77 X 10⁶ m/s.

Initial distance = d = 2 X 10⁻¹⁰ m

Final distance = d' = 3 X 10⁻¹⁵ m

Mass of both protons = 1.6 X 10⁻²⁷ Kg each

Charge of both protons = q = 1.6 X 10⁻¹⁹ C each

The constant for proton energy = 1/(4πε) = 9 X 10⁹ Nm²/C²

The potential change changes when their is a change in the work done, thus, potential energy initially = U =

= U = 1/(4πε) X (q₁q₂ / d)

= U = ( 9 X 10⁹ X 1.6 X 10⁻¹⁹  X 1.6 X 10⁻¹⁹ ) / 2 X 10⁻¹⁰

= U = 11.52 X 10⁻¹⁹ J

Now, finial potential energy = U' =

= U' = 1/(4πε) X (q₁q₂ / d')

= U' = ( 9 X 10⁹ X 1.6 X 10⁻¹⁹  X 1.6 X 10⁻¹⁹ ) / 3 X 10⁻¹⁵

= U' = 7.68 X 10⁻¹⁴ J

Thus, the work done to push the two protons is the different between final potential energy and the initial potential energy = W =

= W = U' - U

= W =11.52 X 10⁻¹⁹ - 7.68 X 10⁻¹⁴

= W = 7.67 X 10⁻¹⁴ J

Now, the speed of protons while coming back to the original positions = V;

Work done is also equal to the sum of kinetic energy's, hence,

= W = KE + KE'

= W = (1/2)mv² + (1/2)mv'²

= W = 2 X (1/2)mV²

= V = √ (W / m)

= V = √ (7.67 X 10⁻¹⁴ / 1.6 X 10⁻²⁷)

= V = 6.77 X 10⁶ m/s

To know more about Work Done:

https://brainly.com/question/14913350

#SPJ4

Answer: 66.8 kilograms

Answer:

true

Explanation:

Gravity (or the acceleration due to gravity) is 9.81 meters per second squared, on the surface of Earth, because of the size of Earth and the distance we are on its surface from its center.

The first student's observation tells us that the frequency of the wave is 20/30 Hz or 2/3 Hz. Using the formula v = λf, we can find the velocity of the wave, where v is the speed of the wave, λ is the wavelength and f is the frequency.

To find the velocity we need to find λ. The second student's observation tells us that the wave travels 225 cm in 10.0 s. Therefore, the velocity of the wave is 22.5 cm/s. If we substitute this and the frequency into the formula, we get

22.5 cm/s = λ x 2/3 Hz

Solving for λ, we get λ = 33.75 cm. Therefore, the wavelength of the wave is 33.75 cm. Thus, we get A.

37.2 cm is the wavelength of the waves when a physics lab, a harmonic wave travels down a string.

Given that,

In a physics lab, a harmonic wave travels down a string. In 30.0 seconds, one student counts 20 vibrations. A second student finds that a wave's greatest peak travels 225 cm along a rope in 10.0 seconds.

We have to find what is the wavelength of the waves.

We know that,

The formula to find the wavelength is

λ = \(\frac{v}{f}\)

Here,

λ  is wavelength,

v is speed and

f is frequency.

So,

v is the ratio of maximum distance of wave travels by the time.

v = \(\frac{225}{10.0}\) = 22.5 cm per second.

f = \(\frac{20}{30}\) = 0.6 hz.

Now,

λ = \(\frac{v}{f}\) = \(\frac{22.5}{0.6}\) = 37.2 cm

Therefore, 37.2 cm is the wavelength of the waves.

To know more about wavelength visit:

https://brainly.com/question/31143857

https://brainly.com/question/12924624

Power of electric tube light = 80W=0.08kW

Time used =  8 hour 

Energy = Power x time taken =0.08×8=0.64kWh=0.64units.

The energy consumed per day = 0.64units

Answer:

Hence, a total of 0.8 electrical units of energy is consumed in one day by the bulb.

The hippo's center of gravity is d = 158m.

Calculation:

from the given figure-

weight of front = 0.60w

weight of back = 0.40 W

By Balancing the forces.

0.60 [1.8+ 0.5-d] -[0.4(α-0.5)]=0

= 1.08 +0.3 - 0.60d - 0.4d +0.2 = 0

d = 158m

A force is a push or pulls on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, there is no force on the two objects.

There are four fundamental forces gravity electromagnetic force weak nuclear force, and strong nuclear force. Of these four forces, the mighty nuclear force is the most powerful. From this, we can conclude that whenever the direction of force is in the direction of motion the velocity of the object increases, and when it is opposite to the direction of motion the velocity decreases.

Learn more about The forces here:-https://brainly.com/question/388851

#SPJ4

Answer:

Vo = 4.5 [V]

Explanation:

In order to calculate this Vo voltage, we must first calculate the current through the entire circuit. For this, we perform a sum of voltages equal to zero.

ΣV = 0

\(-9 +6*I+2*I+3 =0\\-6+8*I=0\\I = 6/8\\I=0.75[amp]\)

We again perform a sum of voltages equal to zero but this time we do not include the voltage source of 3V as well as the resistance of 2[ohm]. It is as if the circuit is open between the ports of Vo.

ΣV = 0

\(V_{o}-9+(6*0.75) = 0\\\\V_{o} = 4.5 [V]\)

The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.

In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.

Motion is a change in position of an object over the  time and is described in terms of displacement, distance, velocity, acceleration, time and speed.

Change in position of a body with time when compared with another body is known as  motion.

To know more about motion, refer

https://brainly.com/question/26083484

#SPJ1

All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

Learn more about Equations of Motion here:

https://brainly.com/question/25951773

#SPJ1

The area of Mrs. Turner's apartment is approximately 0.05304 square feet.

To find the area of Mrs. Turner's apartment, we need to convert the measurements from the scale drawing to the actual measurements in feet, using the given scale factor of 1 inch/18 feet.

Length of apartment in feet = 6.25 inches × (1 foot/18 inches) = 0.34722 feet

Width of apartment in feet = 2.75 inches × (1 foot/18 inches) = 0.15278 feet

Now, we can calculate the area of the apartment in square feet by multiplying the length and width:

Area of apartment in square feet = Length × Width = 0.34722 feet × 0.15278 feet = 0.05304 square feet

Therefore, the area of Mrs. Turner's apartment is approximately 0.05304 square feet.

learn more about scale factor here

https://brainly.com/question/25722260

#SPJ1

(a) When you apply a force of 40 N, the magnitude of the horizontal component of the force that the floor exerts on the block is 51 N.

(b) When you apply a force of 59 N, the magnitude of the horizontal component of the force that the floor exerts on the block is 51 N.

The horizontal component of the force that the floor exerts on the block is determined by applying Newton's second law of motion;

\(F = ma\)

\(\Sigma F = 0\\\\F - F_f = 0\\\\F = F_f\)

\(F_f = F\\\\F_f = 51 \ N\)

where;

Since the surface (floor) is constant, the frictional force (horizontal component of the force that the floor exerts on the block ) will be the same on the cases.

Learn more about frictional force here: https://brainly.com/question/24386803

Based on the definition of limiting frictional force;

Force is any push or pull effect which tends to cause a change in the motion or shape of an object.

Based on Newton's third law, every force produces an equal and opposite reaction.

Therefore, the force that the floor exerts on the block is oppositely direction to the force exerted by the horizontal force acting on the block.

Since a horizontal force of 51 N applied to the block is required to keep the block moving across the floor at a constant speed, this is the limiting frictional force.

a) when a force of 40 N is applied to the block, the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 40 N

b) when a force of 59 N is applied to the block, the magnitude of the horizontal component of the force that the floor exerts on the block is equal to 51 N, the limiting frictional force.

Learn more about limiting frictional force at: https://brainly.com/question/23092926

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

Answer:206.3

Explanation:

Answer:

It is importants because it facilitates the monitoring and analysis of global earthquakes and other sources of seismic activity.

Explanation:

Answer:

Height of the ramp

Explanation:

The independent variable is always what the person doing the experiment can change or modify.  So if the question is about whether the height of the ramp with  effect the car, that is indeed what they are changing or modifying in the experiment.

When a mass (m) that orbits the earth in a circular path of radius 7480 km (about 1100 km) above the surface of the earth), the period of revolution of the given satellite is approximately 8207 seconds or 2.28 hours.

The period of revolution of a satellite with mass (m) that orbits the earth in a circular path of radius 7480 km (about 1100 km) above the surface of the earth) can be determined by using Kepler's third law which relates the period of revolution of a satellite to the average radius of its orbit.

Kepler's third law states that the square of the period of revolution of a satellite is proportional to the cube of the average radius of its orbit.

Mathematically, the law can be expressed as: T² = (4π² / GM) × R³Where T is the period of revolution, G is the gravitational constant, M is the mass of the earth, and R is the average radius of the orbit of the satellite.

To find the period of revolution of the given satellite, we can substitute the given values in the equation: R = 7480 km + 6370 km = 13850 kmM = 5.97 × 10²⁴ kgG = 6.67 × 10⁻¹¹ Nm²/kg²T² = (4π² / GM) × R³T² = (4π² / (6.67 × 10⁻¹¹ × 5.97 × 10²⁴)) × (13850 × 10³)³T² = 6.7182 × 10¹⁴ seconds²

Taking the square root of both sides, we get:T = 8.2079 × 10³ seconds

Therefore, the period of revolution of the given satellite is approximately 8207 seconds or 2.28 hours.

For more such questions on period of revolution, click on:

https://brainly.com/question/23897864

#SPJ8

Answer:

Slipher developed spectrographic methods that allowed researchers to see a Doppler effect in the distances of what were then called “spiral nebula,” what we today call galaxies. Simply put, by measuring the longer wavelength red shift (objects moving away) and shorter wavelength blue shift (objects moving closer), Slipher demonstrated that the universe was not static.

Explanation:

Answer:

Option e is correct.

Explanation:

An object of mass m moves horizontally, increasing in speed from 0 to v in a time t.

We know that,

Work done = change in kinetic energy

\(W=\dfrac{1}{2}m(v^2-u^2)\)

Here, u = 0

So,

\(W=\dfrac{1}{2}mv^2\)

Also,

Power = work done/time

So,

\(P=\dfrac{\dfrac{1}{2}mv^2}{t}\\\\=\dfrac{mv^2}{2t}\)

So, the correct option is (e).

The flow of something like the induced current flow in the above condition is clockwise.

Current represents the movement of electrons, despite the fact that current & hydrogen flow in the opposite directions. Current flows from positively to negative while electrons travel from negative to positive. Current is the amount of atoms that move through the cross - sectional area of a conductor in a second.

Free electrons are transported between atoms by the electromagnetic charges known as voltage. Similar to how water is driven through a conduit, alternating energy needs to be made to flow. Volts are the measure of "electricity pressure," which causes electric current. Actually, electrons would pass the cables here in the opposite way.

To know more about current flow visit:

https://brainly.com/question/28305485

#SPJ1

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.

For more questions on energy

https://brainly.com/question/30403434

#SPJ8

Answer:

F=w=ma                                                                                                                                                       OR by using equations of motions                                                                               vf=vi-at                    : a=vf-vi/t                                                              eq 1                         s=vit+1/2at squre                                                                                 eq 2                     2as=vf squre - vi squre                                                                        eq 3                                                                                                                                                                                  

Explanation:

where m is the mass of falling body , f is the weight is the force acting down ward , vf is the final velocity, vi is the inetial velocity , t is the time and s is the distance covered by a body.

Answer:

You would weigh very slightly more at sea level than at the top of a mountain, not enough for you to notice, but a measurable amount. Weight, which really means gravitational force, is proportional to the product of the masses of two objects acting on each other, in this case the giant earth and the minuscule you.

Explanation:

Answer:

uuuugggghhhhhhhhggggffffffffffffff

Answer:

The geocentric model could not fully explain these changes in the appearance of the inferior planets (the planets between the Earth and the Sun). Furthermore, Galileo's observations of Jupiter's moons made it clear that celestial bodies do move about centers other than the Earth.

Mark me as the brainlist

Answer: The Answer is C

Explanation:

I just got this question and took a guess I got it correct lol. Higher potential energy and energy is released.

The statement which best describes the total energy change of the system is energy is absorbed, and the reactants have higher potential energy.

Potential energy is the energy which a body posses because of its position. The potential energy is the stored energy.

The energy diagram shows the changes in energy during a chemical reaction.

Potential energy and Reaction progress are shown in the problem. The reactants are the substance which reacts and form one or more than one product.

The reactants in a chemical reaction increases the potential energy for the reaction.



Thus, the statement which best describes the total energy change of the system is energy is absorbed, and the reactants have higher potential energy.

Learn more about the potential energy here;

https://brainly.com/question/15896499



Answer:

\(P_{sp}=178.4W/kg\)

Explanation:

From the question we are told that:

Mass of fish \(m_f=650kg\)

Cross-sectional area \(A=0.92 m^2\)

Drag coefficient of \(\mu= 0.0091\)

Seawater  density \(\rho= 1026 kg/m^3.\)

Speed of  Fish \(v=30 m/s\)  

Generally the equation for Drag force F_d is mathematically given by

\(F_d = \mu * \rho *A v^2 /2\)

\(F_d = 0.0091* 0.92* 1026* 30^2/2 \\F_d= 3865. 35 N\)  

Generally the equation for high speed  Power  \(P_{sp}\) is mathematically given by

\(P_{sp}=3865*35*\frac{v}{m_f}\)

\(P_{sp}=F_d*35*\frac{30}{650}\)

\(P_{sp}=178.4W/kg\)

The time taken for the group of people to pull the car, giving it a velocity of 1.5 m/s is 3.75 s

Momentum is simply defined as the product of mass and velocity i.e

Momentum = mass × velocity

To answer the question given, we'll begin by calculating the change in momentum. This can be obtained as follow:

Mass = 1500 Kg

Initial velocity (u) = 0 m/s

Final velocity (v) = 1.5 m/s

Change in momentum = m(v – u)

Change in momentum = 1500 (1.5 – 0)

Change in momentum = 1500 × 1.5

Finally, we shall determine the time

Change in momentum = 2250 Kg•m/s

Force (F) = 600 N

Impulse = Ft = change in momentum

FT = change in momentum

600 × t = 2250

Divide both side by 600

t = 2250 / 600

Thus, the time required is 3.75 s

Learn more on momentum and impulse: https://brainly.com/question/14486244

Answer:

Metals are good conductors of heat and electricity. ... As metals are good in conducting heat, it can transfer heat very quickly and evenly. Generally, copper, aluminum metals are used for cooking vessels as they are very good conductors of heat. Due to this reason's metals are used in cooking vessels.

According to the information, the rms speed of the gas will remain unchanged.

The rms (root-mean-square) speed of a gas is directly proportional to the square root of its temperature. In this scenario, the temperature is constant, which means that the rms speed of the gas will also remain constant.

The change in volume does not have a direct effect on the rms speed of the gas, as long as the temperature remains unchanged. Therefore, the rms speed of the gas in the vessel will not change.

Learn more about temperature in: https://brainly.com/question/7510619

#SPJ1