Question 19 2 pts In an isothermal and reversible process, 945 J of heat is removed from a system and transferred to the surroundings. The temperature is 314 K. What is the change in entropy of the sy

Answers

Answer 1

The change in entropy of the system is approximately 3.01 J/K.

Entropy is a measure of the randomness or disorder in a system. In an isothermal and reversible process, the temperature remains constant, and the change in entropy can be calculated using the formula
ΔS = -Q/T,
where Q is the heat transferred and
T is the temperature.

In this case, 945 J of heat is removed from the system, and the temperature is 314 K.

Substituting the values into the formula, we find that the change in entropy of the system is approximately 3.01 J/K.

This indicates an increase in the system's disorder or randomness due to the heat transfer.

The change in entropy of the system can be calculated using the formula
ΔS = -Q/T,
where ΔS is the change in entropy,
Q is the heat transferred, and
T is the temperature.

Given:

Q = -945 J (heat removed from the system)

T = 314 K (temperature)

Substituting the values into the formula, we have:

ΔS = -(-945 J) / 314 K

ΔS = 945 J / 314 K

Calculating this expression, we get:

ΔS ≈ 3.01 J/K

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Related Questions

Which position has the least amount of kinetic energy?

Which position has the least amount of kinetic energy?

Answers

the position that has least kinetic energy is option D

calculate the frequencies of the nmr transitions for 23na in a magnetic field of b0 = 11.7 tesla

Answers

The frequency of the NMR transitions for 23Na in a magnetic field of B0 = 11.7 Tesla is approximately 131.88 MHz.

To calculate the frequencies of the NMR (Nuclear Magnetic Resonance) transitions for 23Na in a magnetic field of B0 = 11.7 Tesla, we need to use the equation that relates the frequency of the NMR transition to the magnetic field strength and the gyromagnetic ratio.

The gyromagnetic ratio (γ) for a particular nucleus can be obtained from experimental data or reference sources. For 23Na, the gyromagnetic ratio is approximately 11.262 MHz/T.

The frequency (ν) of the NMR transition is given by the equation:

Ν = γ * B0

Substituting the values:

Ν = 11.262 MHz/T * 11.7 T

Ν ≈ 131.88 MHz

Therefore, the frequency of the NMR transitions for 23Na in a magnetic field of B0 = 11.7 Tesla is approximately 131.88 MHz.

NMR is a technique used to study the behavior of atomic nuclei in a magnetic field, and the frequency of the NMR transition is directly proportional to the strength of the magnetic field. By knowing the gyromagnetic ratio and the magnetic field strength, we can calculate the NMR frequency for a specific nucleus.

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14 Calculate When the basketball is at its maximum
height of 3 meters, it is not moving. The table below
lists the KE and GPE for the basketball at heights of
3 m, 2 m, 1 m, and 0 m. Write the missing values for
KE and GPE In the table. Then find the mechanical
energy for each height.

14 Calculate When the basketball is at its maximumheight of 3 meters, it is not moving. The table belowlists

Answers

To fill in the missing values for KE and GPE in the table, we can use the conservation of energy principle which states that the total mechanical energy of a system (ME) is conserved and remains constant as long as there are no external forces acting on the system.

How to find out?

At the maximum height of 3 m, the basketball is not moving, so all of its energy is potential energy, i.e., GPE = 18 J and KE = 0 J.

Using the principle of conservation of energy, we can calculate the values of KE and GPE at the other heights:

At a height of 2 m, the basketball has lost some potential energy as it has moved down, but it has not gained any kinetic energy yet, so KE = 0 J. Therefore, GPE = 12 J.

At a height of 1 m, the basketball has lost some potential energy and gained some kinetic energy. We can calculate the KE as the difference between the ME at heights of 2 m and 1 m, i.e., KE = ME(2 m) - ME(1 m) = (12 J) - (6 J) = 6 J. Therefore, GPE = 6 J.

At a height of 0 m, the basketball has lost all of its potential energy and gained an equal amount of kinetic energy, i.e., KE = GPE = 18 J.

The mechanical energy (ME) at each height can be calculated as the sum of KE and GPE:

ME(3 m) = KE + GPE = 0 J + 18 J = 18 J

ME(2 m) = KE + GPE = 0 J + 12 J = 12 J

ME(1 m) = KE + GPE = 6 J + 6 J = 12 J

ME(0 m) = KE + GPE = 18 J + 0 J = 18 J

Therefore, the mechanical energy of the basketball remains constant at 18 J at the maximum height and at the ground level, and decreases to 12 J at a height of 2 m and then increases back to 18 J at a height of 0 m.

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Please help !!!

Will give the brainliest..

Please answer correctly..

Please help !!!Will give the brainliest..Please answer correctly..

Answers

Explanation:

hope this is right!!!!!!!!!!!!!

Please help !!!Will give the brainliest..Please answer correctly..

1. a. Electron 1 -1

b. Proton 2000 +1

c. Neutron 2000 0

2. a. An uncharged nucleon is neutron. It is a chargeless subatomic particle.

b. The particle with the least mass is electron. The mass of an electron is so small that it is considered to be negligible while calculating the atomic mass of an element.

c. The particle with the same mass as a neutron is proton. However if we see the absolute mass of neutron and proton then it is seen that neutron has a greater mass than proton.

d. The particle with the same amount of charge as an electron is proton. Note that the amount of charge is only same. Electron is negatively charged while proton is positively charged.

e. A particle that is negatively charge is electron. The relative charge of electron is -1.

Hope you could understand.

If you have any query, feel free to ask.

How to Calculate Average Velocity with Examples

Answers

Answer:

Average velocity is calculated by the formula V = D/t, where V equals the average velocity, D equals total displacement and t equals total time.

Explanation:

Average velocity is calculated by dividing your displacement (a vector pointing from your initial position to your final position) by the total time; average speed is calculated by dividing the total distance you traveled by the total time.

For example, someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph). Average velocity, however, involves total displacement, instead of distance.

an electromechanical relay uses electromagnetism to operate contacts

Answers

An electromechanical relay is a type of switch that uses the principle of electromagnetism to operate its contacts. When an electric current flows through the coil of the relay, it creates a magnetic field around it.

This magnetic field then attracts a metal armature which is connected to the contacts of the relay. As the armature moves, it closes or opens the contacts, depending on the design of the relay. This allows the relay to switch high-power loads with low-power signals, making it useful in a variety of applications, from industrial control systems to automotive electronics. One of the advantages of an electromechanical relay is that it provides a physical break in the circuit when it switches off, which helps to protect the connected devices from electrical transients and overvoltage. However, it also has some drawbacks, such as the limited switching speed, mechanical wear and tear, and the requirement for a power source to operate the coil.

Despite these limitations, electromechanical relays remain an essential component in many electrical systems due to their reliability and versatility.

An electromechanical relay is a device that uses electromagnetism to operate contacts and control circuits. The relay consists of three main components: an electromagnet, a set of contacts, and an armature.

1. Electromagnet: This is a coil of wire wrapped around a magnetic core. When an electric current flows through the coil, it generates a magnetic field around the core, turning it into an electromagnet.

2. Contacts: These are conductive materials, typically made of metals, that can be connected or disconnected to control the flow of electricity in a circuit. There are various types of contacts, such as normally open (NO), normally closed (NC), and changeover contacts.

3. Armature: This is a movable component that is attracted to the electromagnet when it is energized. The armature is connected to the contacts, allowing them to be operated when the electromagnet is activated. When a control voltage is applied to the electromagnet, it generates a magnetic field that attracts the armature. This movement causes the contacts to either close (for normally open contacts) or open (for normally closed contacts), thereby controlling the flow of electricity in the connected circuit.

Once the control voltage is removed, the magnetic field diminishes, and the armature returns to its original position, restoring the contacts to their initial state.

In summary, an electromechanical relay uses electromagnetism to operate contacts, which in turn control the flow of electricity in circuits. This functionality makes relays essential in various applications, including automation, protection, and control systems.

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Please answer!!! This is due today so please help me, thank you! :)

Please answer!!! This is due today so please help me, thank you! :)

Answers

the answer is d because in the graph the next process after uplift is weathering

Explain the importance of units by
sharing an example of a situation that could go wrong because there are no units

Answers

Answer:

Look below

Explanation:

Units are very important. Let's say we were building an apartment. We used meters for every measurement except for 1 support where we used centimeters. This could lead to the collapse of the whole structure as the measurements were wrong. 100 meters and 100 centimeters are very different.

The unit of measurement is very important. A measurement tells us about the property of something. It tells us how heavy an object is, or how long an object is. A measurement gives us a number to that property.

What's a unit in science?

A unit is any standard used for making comparisons in measurements. Unit conversions allow for measurements of a property that have been recorded using different units—for instance, centimetres to inches.

Why are units important when measuring quantities?

Units are important when measuring quantities because units allow people to communicate amounts uniformly in a way that can be understood by others.

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A point charge Q is placed at the origin of the spherical coordinate system. It is surrounded by a charge cloud distribution with uniform density po [C/m³], which exists between two spherical shells of radius a and b, respectively (b > a). Determine the electric field intensity E and electric potential V in all regions of space.

Answers

Region I (Inside the charge cloud): E = 0, V = 0. Region II (Between the two spherical shells): E = 0, V = 0. Region III (Outside the charge cloud): E = k(Q/r²), V = k(Q/r).

To determine the electric field intensity (E) and electric potential (V) in all regions of space, we need to consider the different regions within the spherical coordinate system. Here's how we can approach it:

1. Region I: Inside the charge cloud (r < a)

  - Since the charge cloud has a uniform density, the electric field at any point within the cloud can be calculated using Gauss's law. The electric field intensity is zero at the center of the cloud and increases linearly as we move towards the surface of the cloud (r = a). So, E = 0 for r < a.

  - The electric potential (V) in this region can be taken as zero as a reference point.

2. Region II: Between the two spherical shells (a < r < b)

  - In this region, the charge within the shells does not contribute to the electric field or potential due to the charge cloud. Thus, the electric field intensity and electric potential remain zero in this region.

3. Region III: Outside the charge cloud (r > b)

  - In this region, we can treat the charge cloud as a point charge located at the origin (Q). Therefore, the electric field intensity (E) due to the point charge at distance r is given by Coulomb's law: E = k(Q/r²), where k is the electrostatic constant.

  - The electric potential (V) due to the point charge at distance r is given by V = k(Q/r).

In summary:

- Region I (Inside the charge cloud): E = 0, V = 0.

- Region II (Between the two spherical shells): E = 0, V = 0.

- Region III (Outside the charge cloud): E = k(Q/r²), V = k(Q/r).

Note: The electric field and potential in regions I and II are both zero because the charge distribution in those regions cancels out due to symmetry.

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a satellite with a mass of 2190 kg is placed at an altitude of 465650 km above the surface of sun. what is the strength of the gravitational force on the satellite?

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The gravitational force of the satellite can be determined using universal gravitational law. The force of gravitation on the satellite is 6.73 × 10⁻²⁵ N.

What is gravitational force?

Gravitational force is a kind of force by which an object attracts other objects into its centre of mass. Earth gravitationally pull every objects into its centre and that's why every one is standing on the ground.

According to Universal Gravitational law, the force of gravitation g is written as:

g = G m/r²

where, G is the universal gravitational constant and   r be the distance from the surface and m be the mass.

The mass of the satellite = 2190 Kg

r = 465650 × 10³ m

G = 6.67 × 10⁻¹¹ m³/ Kg s⁻²

then g = 6.67 × 10⁻¹¹ m³/ Kg s⁻² ×  2190 Kg/ (465650 × 10³ m)²

           = 6.73 × 10⁻²⁵ N.

Therefore, the gravitational force on the satellite is 6.73 × 10⁻²⁵ N.

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if the pupil of your eye is 4.2 mm in diameter when reading a page held 24 cm from your eye, what is the minimum separation of adjacent dots that can be resolved? (assume light with a wavelength of 520 nm , and use 1.36 as the index of refraction for the interior of the eye.)

Answers

Adults typically have pupils that range in diameter from 2 to 4 mm in bright light to 4 to 8 mm in complete darkness. The size of the pupils is normally equal.

Does the size of the pupil's opening affect the eye's maximum resolution?

The pupil's maximum opening diameter and the size of the retinal cells determine the eye's maximum resolution. The retinal cells' size restricts the size of an item to a height of around 50 m at the eye's near point (25 cm).

What is 25cm vision?

When an object is situated at least 25 centimetres from the human eye, the eye can perceive objects clearly without any effort.

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What property of the wave is labeled H?
amplitude
crest
wavelength
trough

Answers

Where’s the picture? Well I’ll still answer.if it’s at the top of the wave it’s crest, at the bottom of the wave, trough, if it’s the wave length, (the distance between each wave), amplitude is the highly of the wave

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.What are some observations we can make to determine if something has energy?

Answers

Answer:

if somthing is warm or if somthing moves it usally has energy

The truck now weighs 147,000 N what is the new mass of the truck

Answers

Answer:

14700kg

Explanation:

If you divide it by 10

Calculate magnitude and direction of the vector c while a=3 and b=5

Answers

Answer:

8

Explanation:

thc jhjhhdb hhvb. ggjv. j h. vhvhhhdh.

on the celestial sphere, which of the following terms are specific to the observer (that is, they are unique for unique observers)? (choose all that apply.) select one or more: a. celestial equator b. north celestial pole c. nadir d. meridian e. horizon f. zenith g. ecliptic

Answers

The terms specific to the observer are e, f, and g. The ecliptic is the path that the Sun appears to follow across the sky throughout the year as viewed from Earth.

The horizon is an imaginary line that marks the point where the sky and the Earth's surface seem to meet. The zenith is an imaginary point directly overhead from the observer's location.

The celestial equator is an imaginary line that runs around the celestial sphere, dividing it into two hemispheres. The north celestial pole is the point directly above the observer's north horizon. The nadir is an imaginary point directly below the observer's location.

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A person exerts 12.0 N on a 0.145 kg baseball for 0.480 s. What is the change in velocity of the base ball?​

Answers

The change in velocity of the baseball is 39.72 m/s

What is change in velocity?

This is the difference between the final and the initial velocity of a body.

To calculate the change in velocity of the ball, we use the formula below.

Formula:Ft = mΔv.............. Equation 1

Where:

F = Force exerted by the persont = timem = mass of the baseballΔv = Change in velocity.

Make Δv the subject of the equation

Δv = Ft/m........... Equation 2

From the question,

Given:

F = 12 Nt = 0.480 sm = 0.145 kg

Substitute these values into equation 2

Δv = (12×0.48)/0.145Δv = 39.72 m/s.

Hence, The change in velocity of the baseball is 39.72 m/s

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the goose has a mass of 23.5 lb (pounds) and is flying at 11.5 miles/h (miles per hour). what is the kinetic energy of the goose in joules? enter your answer numerically in joules.

Answers

We have to find the kinetic energy of the goose. We converted the mass of the goose from pounds to kg. Then we converted the speed from miles/h to m/s. Finally, we substituted the values of mass and speed into the formula for kinetic energy.

Given, Mass of the goose = 23.5 lb

Speed of the goose = 11.5 miles/h

We need to find the kinetic energy of the goose in Joules.

Step 1: Convert the mass of the goose from pounds to kg.

Mass of the goose = 23.5 lb

To convert pounds to kg, we know that:

1 lb = 0.453592 kg

Thus,Mass of the goose = 23.5 lb= 23.5 × 0.453592 kg

= 10.6592672 kg≈ 10.66 kg

Step 2: Convert speed from miles/h to m/s.

We know that,1 mile/h = 0.44704 m/s

Speed of the goose = 11.5 miles/h= 11.5 × 0.44704 m/s= 5.15296 m/s

Step 3: Substitute the values of mass and speed into the formula for kinetic energy.

Kinetic energy (K.E) = (1/2) × mass × speed²

Now,Mass of the goose, m = 10.66 kg

Speed of the goose, v = 5.15296 m/s

Substituting these values into the formula for kinetic energy,

Kinetic energy (K.E) = (1/2) × mass × speed²

= (1/2) × 10.66 × (5.15296)²

≈ 141.78 Joules (J)

Thus, the kinetic energy of the goose is approximately 141.78 Joules (J).

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You are playing baseball and hit a single, running to first base. Your distance and displacement are

Answer choices:
A. Both 90 feet

B. Both 0 feet

C. Distance 90 feet Displacement 0 feet

D. Distance 0 feet Displacement 90 feet

Answers

Answer:

C. Distance 90 feet Displacement 0 feet

Question 25 of 25
A car came to a stop from a speed of 28 m/s in a time of 2.1 seconds. What
was the acceleration of the car?
A. -9.80 m/s2
B. -13.3 m/s2
C. -7.84 m/s2
D. -6.23 m/s2
SUBMIT

Answers

Answer :
1.33m/s²
Explanation :
a =vf - vi/t
a =28m/s/2.1s
a = 1.33m/s/s =1.33m/s²

How did the lab activities help you awnser the lesson question, “ How do atmospheric conditions influence weather patterns?” What did you learn from conducting this lab?

Answers

Answer:

In the lab activity, I used a virtual watershed to demonstrate how pollutants enter and flow through the watershed. I constructed food chains to show how biotic factors are related. I also predicted and modeled how human activity affected the biotic factors in an ecosystem. Based on my observations, I can conclude that biotic and abiotic factors are closely linked and that human activity that changes the environment, like pollution, can affect all the other parts of an ecosystem in a negative way.

Explanation:

Asky wave is incident on the ionosphere at an angle of 60°. The electron density of this ionosphere layer is N = 24.536 × 10¹¹ electrons/m³
a. For the point of reflection, determine the refractive index of the ionospheric layer. (3 Marks)
b. Identify the critical frequency for the communication link. (2 Marks)
c. Determine the maximum usable frequency (2 Marks)
d. Give reasons why the transmissions would fail the following frequencies if the frequencies were 10 MHz and 30 MHz respectively. (4 Marks)
e. The lonosphere bends high frequency radio waves towards Earth. Discuss this bending phenomenon.

Answers

We can calculate the refractive index by substituting the values into the formula: n = √(1 - (2.774 × 10^6 / f)^2). The refractive index of the ionospheric layer can be determined using the formula n = √(1 - (f_ce / f)^2)

(a) The refractive index of the ionospheric layer can be determined using the formula n = √(1 - (f_ce / f)^2), where n represents the refractive index, f_ce is the electron gyrofrequency, and f is the frequency of the incident wave.

The electron gyrofrequency (f_ce) can be calculated using the formula f_ce = 8.978 × √(N), where N is the electron density. Substituting the given electron density value, we have f_ce = 8.978 × √(24.536 × 10^11) ≈ 2.774 × 10^6 Hz.

Now, we can calculate the refractive index by substituting the values into the formula: n = √(1 - (2.774 × 10^6 / f)^2).

(b) The critical frequency for the communication link can be determined using the formula f_c = f_ce / sin(θ), where f_c represents the critical frequency and θ is the angle of incidence. Substituting the given angle of 60°, we have f_c = 2.774 × 10^6 Hz / sin(60°).

(c) The maximum usable frequency (MUF) can be calculated using the formula MUF = f_c / sin(θ). Substituting the critical frequency and angle of incidence given in parts (b) and (a), respectively, we can find the MUF.

(d) Transmissions would fail at the frequencies of 10 MHz and 30 MHz because they are below the critical frequency. The critical frequency represents the maximum frequency that can be reflected back to Earth by the ionospheric layer. If the frequency of the transmission is below the critical frequency, the wave would penetrate through the ionosphere and not be reflected back, leading to a failed transmission.

(e) The ionosphere bends high-frequency radio waves towards Earth due to the phenomenon of refraction. When a radio wave encounters the ionosphere, which is composed of charged particles, it experiences a change in speed and direction. This change in speed and direction is due to the varying density and composition of the ionosphere at different altitudes.

As the radio wave passes through the ionosphere, its path is curved downward towards the Earth's surface. This bending phenomenon occurs because the refractive index of the ionosphere is greater than that of the surrounding vacuum or atmosphere. The higher the frequency of the radio wave, the greater the bending effect due to the higher electron density in the ionosphere at higher altitudes.

This bending of high-frequency radio waves allows for long-distance communication by enabling the waves to travel beyond the line-of-sight. It plays a crucial role in long-distance radio communication, especially in areas where direct line-of-sight transmission is obstructed by the Earth's curvature or other obstacles.

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A 32.0 kg cart is at rest on a frictionless, horizontal surface. The cart experiences an unbalanced force, causing the cart to

accelerate at a rate of +5 m/s2

After traveling 200 meters, the cart no longer experiences an unbalanced force and did not interact with any other object. Select the response that correctly describes the motion of the cart after 200 meters.


A
The cart’s velocity will continue to increase at a rate of 5 m/s2.
B
The cart’s velocity will decrease because it is no longer accelerating.
C
The cart will return to a state of rest.
D
The cart will continue to travel at a constant velocity.

Answers

Answer:

D

Explanation:

the cart will continue to travel at constant velocity

An object is thrown straight upward from the edge of a building with a velocity of 20m/s. Where will the object be 5s after it was thrown

Answers

Explanation:

V = S/t

s =vt

d = 20 x 5

d = 100m

The position of the ball 5 seconds after it was thrown will be 25 m below the edge of building.

What are the three equations of motion?

The three equations of motion are -

v = u + at

S = ut + 1/2at²

v² - u² = 2aS

Given is an object which is thrown straight upward from the edge of a building with a velocity of 20m/s.

Initial velocity [u] = 20 m/s

Acceleration due to gravity [g] = - 10 m/s² (Rounded off 9.8)

At maximum height, the velocity will be 0.

Assume that the time at which the ball reaches max height be T.

Using first law of motion -

v = u + aT

0 = 20 - gT

gT = 20

T = 20/g

T = 20/10

T = 2 sec

Then -

S[max] = 20 x 2 - 0.5 x 10 x 4

S[max] = 40 - 20 = 20 m

At t = 2 sec the ball will be at maximum height. Now at maximum height, the initial velocity of the ball will be 0.

We have to find the position of ball after 3 seconds as after 2 seconds it was at maximum height.

In this case initial velocity will be [u] = 0

Acceleration [a] = 10 m/s²

Time [t] = 3 sec

Using second equation of motion -

S = ut + 1/2at²

S = 0.5 x 10 x 9

S = 45 m

Position of object = [x] = 20 - 45 = - 25 m

The negative sign indicates that the object is now 25 cm below from the edge of building.

Therefore, the position of the ball 5 seconds after it was thrown will be 25 m below the edge of building.

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A train car of mass 16,500 kg moves along the railroad track with a constant speed of 14 m/s. What is the momentum of the car?

Answers

Explanation:

Here,

Mass=16,500kg.

speed=14 m/s.

we know that,

\(\tt{ p=m×v }\) ⠀

where,

p=momentum

m=mass

v=velocity

according to the question,

\(\tt{ momentum =mass×velocity }\) ⠀

\(\tt{ 16500×14 }\) ⠀

\(\tt{ 231000~kg.m/s }\) ⠀

so,

velocity of the car is 231000kg.m/s

In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = RE3/2 + 3 g 2 REt 2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = RE3/2 + 3 g 2 REt 2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.) vy(t) = √ g 2 ​2R E ​(R ( 3 2 ​) E ​+3√ g 2 ​R E ​t)(− 1 3 ​) m/s ay(t) = m/s2 (b) Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful. Submit a file with a maximum size of 1 MB.) This answer has not been graded yet. (c) When will the rocket be at y = 4RE? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. s (d) What are vy and ay when y = 4RE? (Express your answers in vector form.) vy(t) = m/s ay(t) = m/s2

Answers

The rocket will be at  \(\(y = 4RE\) when \(t = \frac{7}{3}\sqrt{\frac{2RE}{g}}\)\).

when \(\(y = 4RE\), \(v_y \approx 5594.1 \, \text{m/s}\) and \(a_y \approx -0.613 \, \text{m/s}^2\)\)

A better expression for a rocket’s position which is measured from the center of Earth is given by -

\(y (t) = [RE3/2 + 3 \sqrt{(g / 2)} RE t]2/3\)

where, RE = radius of the Earth = 6.38 x 106 m

g = constant acceleration of an object in free fall near the Earth's surface = 9.81 m/s2

(a) Derive an expressions for velocity, vy(t) and acceleration, ay(t) of the rocket.

we know that, velocity of the rocket is given by -

\(\[v_y(t) = \frac{RE\sqrt{2g}}{(RE^{3/2} + 3\sqrt{\frac{g}{2}}REt)^{1/3}}\]\)

we know that, acceleration of the rocket is given by -

\(\[a_y(t) = -\frac{gRE^2}{(RE^{3/2} + 3\sqrt{\frac{g}{2}}REt)^{4/3}}\]\)

To find when the rocket will be at \(\(y = 4RE\)\), we solve the equation:

\(\[4RE = (RE^{3/2} + 3\sqrt{\frac{g}{2}}REt)^{2/3}\]\)

Simplifying the equation, we have:

\(\[64RE^3 = (RE^{3/2} + 3\sqrt{\frac{g}{2}}REt)^2\]\\\\\[8RE^{3/2} = RE^{3/2} + 3\sqrt{\frac{g}{2}}REt\]\\\\\[7\sqrt{\frac{2RE}{g}} = t\]\)

Therefore, the rocket will be at  \(\(y = 4RE\) when \(t = \frac{7}{3}\sqrt{\frac{2RE}{g}}\)\).

(d) When \(\(y = 4RE\)\), we can evaluate the velocity and acceleration:

\(\[v_y = \sqrt{gRE/2}\\= \sqrt{\left(9.81 \, \text{m/s}^2\right) \left(6.38 \times 10^6 \, \text{m}\right)} / 2 \approx 5594.1 \, \text{m/s}\]\\\\\a_y = -\frac{g}{16}\\\\\\=frac{9.81 \, \text{m/s}^2}{16} \approx -0.613 \, \text{m/s}^2\]\)

Therefore, when \(\(y = 4RE\), \(v_y \approx 5594.1 \, \text{m/s}\) and \(a_y \approx -0.613 \, \text{m/s}^2\)\)

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any two instruments based on Pascal's law​

Answers

Answer:

Answer: hydraulic press and hydraulic brakes. ... This law is useful in designing instruments like Bramah press ,Hydraulic press , Hydraulic jack etc. It is the principle in the development of hydraulic brakes , that are used in automobiles. It is also known as law of transmission of fluid pressure

As the interest rate increases, the opportunity cost of holding money __________ and individuals choose to hold __________ money.

Answers

As interest rates increase, the opportunity cost of holding money rises, leading individuals to choose alternative investments that offer higher returns and better protection against inflation.

As interest rates increase, the opportunity cost of holding money rises, leading individuals to choose alternative investments that offer higher returns and better protection against inflation.As the interest rate increases, the opportunity cost of holding money increases as well. This means that the cost of holding money in terms of foregone interest earnings on alternative investments becomes more significant. In response to this increased opportunity cost, individuals choose to hold less money and opt for alternative investments that offer higher rates of return.

This is because higher interest rates make it more attractive to invest in bonds, stocks, and other financial assets that offer higher returns. As a result, individuals may shift their investment portfolios away from cash and towards these alternative investments in order to maximize their returns.

In addition to the opportunity cost of holding money, inflation can also play a role in individual's decision to hold less money. When inflation is high, the purchasing power of money declines over time, making it less valuable to hold onto. This can lead individuals to seek out investments that offer higher returns in order to keep pace with inflation.

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CAN ANYONE HELP ME???????????

CAN ANYONE HELP ME???????????

Answers

Answer:

D -- 12

Explanation:

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an ink-jet printer steers charged ink drops vertically. each drop of ink has a mass of 10-11 kg, and a charge due to 751896 extra electrons. it goes through two electrodes that gives a vertical acceleration of 104 m/s2. the deflecting electric field is mv/m.

Answers

The deflecting electric field is 0.83mv/m

Acc. to the newtons 2nd law - there is an acceleration when a force acts on an object.

F = ma     (equation 1)

where

F is force

m is mass of object

a is acceleration

Electric field intensity- it is defined as force experienced by a unit positive charge placed at that point.

it is denoted by E = F/q

where

F is force

q is the charge

F = Eq     (equation2)

from 1 and 2 equation we get

ma = Eq

E = ma /q

Charge on the drop of ink.is q.

(e is the charge on an electron.)

so,

q = 751896×e

q = 751896×1.6 ×⁻¹⁹

q = 12.03 ×10⁻¹⁴

m = 10⁻¹¹kg

a = 10⁴ m/s²

using above values

E = ma /q

E = 10⁻¹¹×10⁴/12.03 ×10⁻¹⁴

E = 0.83mv/m

The deflecting electric field is 0.83mv/m

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