An astronaut with mass MA within satellite that orbits Earth at = height H above its surface Earth has mass ME ad radius RE. Which of the following correct expression for the gravitational force exerted on the astronaut by Earth? A. Fg = GMgMa/H^2B. Fg = GMeMa/R^2 eC. Fg = GMgMa/(Re + H)^2 D. Fg = 0

Answers

Answer 1

According to the problem the correct expression is C: Fg = GMgMa/(Re + H)^2.

What is expression?

Expression is the communicative use of language to convey a thought, idea, emotion, or feeling. It is the process of making meaning out of language through the use of tone, pitch, volume, and other non-verbal communication tools. Expression can be used to express a wide range of feelings and emotions, and can be used to communicate a variety of ideas. It is a powerful way to communicate to others and is an important part of effective communication.

This is because the gravitational force exerted by Earth on the astronaut is a function of the masses of both Earth and the astronaut, as well as the distance between them. This distance is the distance from the center of Earth to the astronaut, which is equal to the radius of Earth (RE) plus the height of the satellite above Earth's surface (H). Therefore, the expression for the gravitational force is Fg = GMgMa/(Re + H)^2.

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Related Questions

two light sources illuminate a screen as shown. the sources are in phase and have the same wavelength, but source a is more intense than source b. the screen is far enough from the sources that each source individually illuminates the screen uniformly (the same intensity everywhere on the screen). when only source a is on, the intensity on the screen is ia

Answers

When only source A is on, the intensity of the light on the screen is ia, which is the intensity of light from source A.

What is intensity?

Intensity is a measure of the strength or power of a stimulus, usually referring to sound, light, or a force. It is measured in terms of the amount of energy or power per unit area, and is often expressed in decibels (dB) for sound, or watts per square meter (W/m2) for light. Intensity is an important concept in physics, as it affects the way energy is transmitted and absorbed. In everyday life, intensity can be used to describe the volume or brightness of a sound or light, or the strength of an emotion or feeling.

This is because the screen is far enough from the sources that each source individually illuminates the screen with the same intensity everywhere on the screen. Since source A is more intense than source B, the intensity of light on the screen from source A would be higher than from source B.

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the industrial revolution and the invention of the steam engine impacted brewing by (select all that apply)

Answers

Answer:

The industrial revolution, which began in the late 18th century, brought about many technological advancements that changed the way goods were produced, including the invention of the steam engine. The steam engine made it possible to automate many processes and increased the efficiency of manufacturing. In the brewing industry, the steam engine was used to power pumps and other machinery, making it possible to brew beer on a larger scale and with greater consistency. Additionally, the steam engine made it possible to transport beer over long distances, which helped to expand the market for beer beyond local communities. As a result, the industrial revolution had a significant impact on the brewing industry, making it possible for breweries to produce more beer at a lower cost and to reach a wider market.

Which of the following options correctly reflects the relationship between dispersion forces and particle size? Select all that apply.
a)larger particle are more polarizable and experience stronger dispersion forces
b) dispersion forces tend to decrease with size as larger particles are farther apart and therefore attract each other less
c) dispersion forces are strongest for small particles since they can get closer together in space
d) for molecules of similar shape, dispersion forces tend to increase with increasing molar mass

Answers

A) larger particles are more polarizable and experience stronger dispersion forces and c) dispersion forces are strongest for small particles since they can get closer together in space

What is polarizable?

Polarizability is the ability of a molecule or atom to become polarized when subjected to an external electric field. It is the measure of the ease with which the electrons in a molecule or atom can be redistributed in response to an external electric field. Polarizability is a characteristic of all molecules, atoms, and ions, and governs their behavior in electric and magnetic fields. Polarizable molecules tend to be more reactive and more capable of forming strong bonds with other molecules or atoms. Polarizability is an important factor in determining a molecule's behavior in a variety of biological, chemical, and physical processes.

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It takes 1.20 X 104 J of work to pull a loaded sled weighing 8.00 X 10² N a distance of
2.00 X 102 m. To do this, a force of 1.20 X 10 2N is exerted on a rope, which makes an
angle with the horizontal.
At what angle is the rope held? Express your answer as a number, space, then the word
degrees.

Answers

The angle with which the rope is held is 85.7⁰.

What is the angle made by the rope with horizontal?

The angle with which the rope is held is calculated by applying the following work formula.

W = Fd cosθ

where;

W is the work done by the applied forced is the displacement of the loadθ is the angle made by the applied force with the horizontal

cosθ = ( W / Fd )

θ = arc cos ( W / Fd )

The angle with which the rope is held is calculated as;

θ = arc cos ( W / Fd )

θ = arc cos ( 12,000 ) / ( 800 x 200 )

θ = arc cos ( 0.075 )

θ = 85.7⁰

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Observe the example of foe on the box. The give a complete answer to each question below. Force in Same Direction Force in opposite Direction 1. How would you calculate the net force for example A? Explain. 2. How would you calculate the net force for example 87 Explain.​

Answers

Answer:

To calculate the net force for example A, you would add the two forces together. Since they are in the same direction, the net force would be equal to the sum of the two forces. 2. To calculate the net force for example 87, you would subtract the force in the opposite direction from the force in the same direction. The net force would then be equal to the difference between the two forces.

You have a remote-controlled car that has been programmed to have velocity v⃗ =(−3ti^+2t2j^)m/s, where t is in s. At t = 0 s, the car is at r⃗ 0=(3.0i^+2.0j^)m.
What is the y component of the car's position vector at 8.0 s ?
What is the x component of the car's acceleration vector at 8.0 s ?
What is the y component of the car's acceleration vector at 8.0 s ?

Answers

To find the y component of the car's position vector at 8.0 s, we need to use the y component of the velocity vector and the y component of the initial position vector. The y component of the velocity vector is 2t^2 j^. So at t = 8.0 s, the y component of the position vector is:
r⃗y=(r⃗0y)+(v⃗yt)=2*(8.0s)^2 j^ = 256 j^
To find the x component of the car's acceleration vector at 8.0 s, we need to find the derivative of the x component of the velocity vector with respect to time. The x component of the velocity vector is -3ti^. So the derivative of the x component of the velocity vector is:
a⃗x=-3i^
To find the y component of the car's acceleration vector at 8.0 s, we need to find the derivative of the y component of the velocity vector with respect to time. The y component of the velocity vector is 2t^2 j^. So the derivative of the y component of the velocity vector is:
a⃗y=4tj^
at t=8s, a⃗y=4*8j^=32j^

Weddell seals foraging in open water dive toward the ocean bottom by swimming forward in a straight-line path tipped below the horizontal. The tracking data for one seal showed it taking 4.0 min to descend 360 m below the surface while moving 920 m horizontally.
A. What was the angle of the seal's path below the horizontal?
B. What distance did the seal cover in making this dive?
C. What was the seal's speed, in m/s?

Answers

The angle of the seal's path below the horizontal at 22.6 degree, cover 991 m distance at the speed 17.53 m/s.

A. We can use the tangent function to find the angle of the seal's path below the horizontal:

tan(angle) = opposite side / adjacent side = 360 m / 920 m = 0.3913

angle = tan^-1(0.3913) = 22.6 degrees below the horizontal

B. To find the total distance covered by the seal, we can use the Pythagorean theorem:

distance = sqrt(360^2 + 920^2) = sqrt(130320 + 846400) = sqrt(976620) = 991 m

C. To find the seal's speed, we divide the total distance covered by the time taken:

speed = distance / time = 991 m / 4.0 min * (1 min / 60 s) = 17.53 m/s.

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a spring is hanging from the ceiling. attaching a 560 gg physics book to the spring causes it to stretch 25 cmcm in order to come to equilibrium.part awhat is the spring constant?express your answer with the appropriate units.view available hint(s)for part aactivate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value typekk

Answers

The value of the spring constant is 8704 N/m.

The spring constant (k) can be found using Hooke's law, which states that the force required to stretch or compress a spring is proportional to the distance it is stretched or compressed.

Mathematically, it can be expressed as:

F = -kx

where F is the force applied to the spring,

k is the spring constant, and

x is the distance the spring is stretched or compressed.

Since the force applied to the spring is equal to the weight of the book, we can write:

F = mg = -kx

where m is the mass of the book and

g is the acceleration due to gravity.

Substituting the given values, we get:

560 g * 9.8 m/s^2 = -k * 0.25 m

Dividing both sides by -0.25 m and solving for k,

we will get it as:

k = (560 g * 9.8 m/s^2) / 0.25 m

k= 8704 N/m

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which of the following defines a formula for computing the time, t , as a function of the volume, v ?

Answers

The t(v) = v/2,  defines a formula for computing the time, t as a constant , as a function of the volume, v

What is constant?

A constant is a value that does not change. It can be a number, a string of characters, a boolean (true/false) or a constant expression. Examples of constants include pi (3.14159), a string of characters such as “Hello World” and a boolean value of true or false. Constants are used in programming to represent values that are not liable to change, such as the value of pi, or a string of characters that will remain the same throughout the program's execution. They are also used to represent values that are not known until the program is run, such as a user inputted value.

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Complete question:

best example of kinetic energy being transformed into potential energy

A) a ball rolling up a hill
B) bending a paperclip
C)starting an automobile

Answers

Answer:

Explanation:

If a Ball rolls up a hill, the kinetic energy of motion is then converted into potential energy stored in the ball at the top of the hill. The Potential hill stored in the ball can be used to roll the ball down the hill.

Answer:

Explanation:OPTION(A)

WHEN THE BALL ROOLS UP THE HILL IT LOSES ITS KINETIC ENERGY CONTINUOUSLY AND WHEN IT REACHES AT TOP MOST POINT ALL OF

ITS KINETIC ENERGY LOSES AND CONVERTS INTO POTENTIAL ENERGY.HENCE OPTION(A) IS CORRECT.

Rank each six lunar positions from left to rght based on the amount of moons illuminated surface that is visible from earth from greatest to least

Answers

Moon stages as seen from a northern hemisphere viewer. Consider that the Star is in the gibbous phase right now.

A phase is what?

The Moon's phases are the various forms that the Moon takes throughout the course of the month. Every month, the Moon's appearance varies.Phase is the location of a point time on a waveform cycle. A phases is an irrational quantity. The phase is a single full cycle. Additionally, the phase is referred to in terms od rad / s.

How do radians work?

Simply described, a unit of measure is an angle measurement unit predicated just  on the radius of a circular. As a result, if we visualise considering the length.

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Which statement describes how fossils can be used to form phylogenetic trees?
Responses

A Through fossils, it is possible to understand the traits of now-extinct organisms
B Fossils allow scientists to understand the behaviors of modern animals.
C Fossils allow scientists to understand the instincts of modern animals.
D Through fossils, it is possible to trace where valuable mineral and oil resources are located.

Answers

A. Through fossils, it is possible to understand the traits of now-extinct organisms.

Fossils can be used to form phylogenetic trees by helping scientists to understand the evolutionary relationships between species. By examining the characteristics of fossils, scientists can infer evolutionary relationships and reconstruct the branching pattern of evolutionary history. This information can then be used to construct phylogenetic trees, which are diagrams that show the evolutionary relationships between species. By comparing the similarities and differences in the physical characteristics of different species, scientists can infer which species are more closely related and which are more distantly related. These relationships provide important insights into the evolution of life on Earth and help us to understand the history of life on our planet.

In the temperature experiment, you used a thermometer to measure the temperature inside a closed hand and in four beakers of water. Please match the question with the correct answer choice.
1. Temperature inside the beaker of room temperature water.
2. Temperature inside the closed hand.
3. Temperature inside the beaker of cold tap water.
4. Temperature inside the beaker of ice water.
5. Temperature inside the beaker of hot tap water.

Answers

In the temperature experiment, a thermometer was used to measure the temperature with a closed hand and four beakers of water. Then the correct answer is the temperature of a cup of water at room temperature, the temperature of a closed hand.

Averaged across all activities, the mean temperature of the closed side of the ring finger and palm was 17.7 °C (63.9 °F), significantly (p <0.01) a low temperature. °F). F). The water temperature in the cup is 25°C. Endothermic reactions absorb energy, so when the beaker is closed all the energy is absorbed by the reaction, and the temperature inside the beaker drops.

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A rocket propels itself with a force of 5000N. Its mass is 500kg. If they rocket stops propelling itself at the 2 minute mark, how long will it take for the rocket to touch the ground(starting from when the rocket lifts off)?

Answers

To determine the time it takes for the rocket to touch the ground, we need to know its initial velocity and the force of gravity acting on it. The formula for calculating the final velocity of an object under constant acceleration is:

vf = vi + at

where
vi = initial velocity (m/s)
a = acceleration (m/s^2)
t = time (s)

Since we don't know the initial velocity and we don't know the force of gravity acting on the rocket, we can't find the time it takes for the rocket to touch the ground.

A piston absorbs 42 J of heat from its surroundings while being compressed
from 0.0007 m³ to 0.0002 m³ at a constant pressure of 1.0 × 105 Pa. What
are the correct values for heat and work for the piston?
OA. Q=-42 J, W = +50 J
OB. Q = +42 J, W = +50 J
OC. Q = +42 J, W = -50 J
OD. Q = -42 J. W = -50 J

Answers

The correct values for heat and work for the piston are;

Q = +42 J, W = -50 J

Option C

What is the work done?

We must note that the work that has been done by the piston can be obtained by the formula that we know and that formula states that;

w = PdV

w = work that have been done

P = pressure

dV = change in the volume

As such we would have that the work done is;

w =  1.0 × 10^5 Pa (0.0002 -  0.0007)

w = -50 J

This is the work that has been done but the heat was absorbed hence it is positive.

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1. A piece of purple plastic is charged with 1.55×106
extra electrons compared to its neutral state. What is its net electric charge (including its sign) in coulombs?
net electric charge:


2. A glittering glass globe is given a net electric charge of 9.53×10−6
C. Does the globe now have more or fewer electrons than it does in its neutral state?

fewer/more

3. How many more or fewer?
amount:

Answers

Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.

What is Electric charge?

So the extra electrons provide a charge of 1.32× 10^-12 coulombs. So the net charge is -1.32× 10^-12 coulombs (there are more electrons besides those extra electrons, but there are also protons, so they don’t affect the net charge – the other electrons just compensate the charge of the protons).

When the number of protons in the nucleus is different from the number of electrons around that nucleus, an electrical charge is created in the atom of matter. A negative charge is present in an atom if there are more electrons than protons.

A positive charge is present in an atom if there are more protons than electrons. The amount of charge that an atom carries is always a multiple of the elementary charge, or the charge that one electron or one proton carries.

Therefore, Each electron provides a charge of -1.602 × 10^-19 coulombs. If there are 8.51 × 10^-6 extra electrons, 8.51 × 10^6 electrons___x = -1.602 × 10^-19*8.51 × 10^6/1=-1.32× 10^-12 coulombs.

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In Vander Waal's equation (P+ a/v^2) (V - b) = RT, what are the dimensions of constants 'a' and 'b'? ​

Answers

Answer:

Explanation:

(P+ a/v^2) (V - b) are two factors in parentheses. These factors which represent physical quantities and are determined by subtraction. You can’t subtract unless both terms have the same dimensions.

[tex]a/v^{2}[/tex]  has the same units as  p

a=p[tex]v^{2}[/tex] =

[tex][ML^{-1}T^{-2}] [L^{6}] = [ML^{5}T^{-2}][/tex]

v has the same units as  b

B = [tex][L^{3}][/tex]

A square plate is produced by welding together four smaller square plates, each of side
a. The weight of each of the four plates is
shown in the figure.
Find the x-coordinate of the center of gravity (as a multiple of a).
Answer in units of a.
Find the y-coordinate of the center of gravity
(as a multiple of a).
Answer in units of a.

Answers

A square flange plate is a metal plate with four projections or “flanges” extending outward from the plate’s edges.

What are square plates?

The four projections create a square shape when viewed from the top. Depending on your needs and budget, these plates can be made from steel or aluminium.

Square flange plates are extremely adaptable and have a wide range of uses. By distributing weight uniformly throughout the structure, they support the beams and columns.

They can also be utilized in welding operations to join two pieces together without gaps or irregularities. Finally, they can offer structural support for surfaces like walls in building projects.

Therefore, A square flange plate is a metal plate with four projections or “flanges” extending outward from the plate’s edges.

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Calculate the static thrust of the rocket and turbojet engines. The thrust T is the force necessary to prevent horizontal movement o the engine. Both engines exhaust a massflow of 40 kg/s. The ratio of air and fuel mass flowing into the turbojet is 50:1, and in its exhaust plane the velocity is 500 m/s and the pressure is the same as the ambient pressure. The rocket propellant exhausts at a velocity of 3000 m/s through an area of 0.2 m2. The pressure in the exhaust plane of the rocket is 0.15 MPa and the ambient pressure is 0.101 MPa.

Answers

The static thrust of the turbojet engine is 20,000 N, and the static thrust of the rocket engine is 36,000 N.

The calculation of the static thrust of a rocket and turbojet engine is determined by the following equation:

T = m × (Ve - V0)

where T is the thrust, m is the mass flow rate, Ve is the exhaust velocity, and V0 is the ambient velocity.

For the turbojet engine, the thrust can be calculated as follows:

T = 40 kg/s × (500 m/s - 0) = 20,000 N

For the rocket engine, the thrust can be calculated as follows:

P0 = 0.15 MPa, Pa = 0.101 MPa, Ve = 3000 m/s

A = 0.2 m2

m = 40 kg/s

P0 - Pa = (m × Ve²) / 2A

0.15 - 0.101 = (40 × 3000²) / (2 × 0.2)

T = (40 × 3000) / 0.2 = 36,000 N

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: Which of the following are evidence of past liquid water on the Martian surface? Sort as true or false Items (5 iterns) (Drag and drop into the appropriate area below) fossils minerals that form underwater rounded pebbles present day oceans dry river beds Categories True False

Answers

True:  - Fossils - Minerals that form underwater - Rounded pebbles - Dry river beds and False: - Present day oceans.

What is Fossils?

Fossils are the remains or traces of organisms that lived in past geological ages. They can be found in rocks, sediment, or soil and are usually the preserved remains of animals and plants that lived millions of years ago. Fossils can be bones, teeth, shells, or other body parts. They can also include footprints, nests, burrows, or other evidence of animal behavior. Fossils provide scientists with important information about ancient life and the Earth’s history. By studying fossils, scientists can learn how animals and plants lived, how they evolved, how they interacted with each other, and how their environment changed over time.

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A thin, square, conducting plate 42.0 cm on a side lies in the xy plane. A total charge of 4.20 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m2 (b) Find the electric field just above the plate. magnitude N/C direction (c) Find the electric field just below the plate. magnitude N/C direction

Answers

(a) The charge density on each face of a thin, square, conducting plate 42.0 cm on a side lies in the xy plane. A total charge of 4.20 x 10⁻⁸ C is placed on the plate = 8.4 nC/m²

(b) The electric field just above the plate = 95 kN/C k

(c) The electric field just below the plate = -95 kN/C k

How to determine the charge density of the plate?

We disregard "edge" effects and assume that the total charge is distributed uniformly across the plate, with one-half of the total charge on each side. The charge density on the plate's upper and lower surfaces is:

σ = [tex]\frac{1}{2}[/tex] (q / A)

Where:

σ = charge density

q = total charge

A = the area of the plate

Hence,

(a)

σ = [tex]\frac{1}{2}[/tex] (4.20 x 10⁻⁸ C) / (0.500m²)

= 8.4 x 10⁻⁸

= 8.4 nC/m²

The direction ⇒ positive

(b)

The electric field just above the plate:

Ё = (σ / ε₀) k

= (8.4 x 10⁻⁸ / 8.85 x 10⁻¹²)

= (95 kN/C) k

The direction ⇒ positive

(c)

The electric field just below the plate:

(-95 kN/C) k

The direction ⇒ negative

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When objects are in free fall on earth, to accelerate at -9.8 m/s, which of the following must be neglected?
A. initial velocity
B. mass and weight
C. air resistance
D. surface area

Answers

There is only one force upon the ball - the force of gravity. (Air resistance is negligible; the ball is not on a surface, so there is no friction or normal force; the applied force which projects it into motion does not act upon the ball during its trajectory; there are no springs, strings, wires, or cables attached so there is neither a tension force nor a spring force.) The force of gravity acts downward with a magnitude of m•g = (0.250 kg) •(9.8 m/s/s) = 2.45 N. The net force is 2.45 N; when divided by mass, the acceleration can be found.

Hopes This Helps!

Which statements best describe X-rays? Check all that apply.

Answers

x-rays are electromagnetic waves. x-rays are transverse waves. x-rays travel at the speed of light.

What are the x rays?

X-rays are a form of electromagnetic radiation with high energy and short wavelength. They are used for medical imaging to see inside the human body, for industrial purposes to inspect materials and for scientific research.

X-rays are produced by high-energy photons that pass through an object and create a shadow image on a detector on the other side. The different densities of the material in the object cause variations in the amount of X-rays that pass through, producing a visual representation of the object's internal structure.

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Missing parts;

Which statements best describe x-rays? check all that apply. x-rays are electromagnetic waves. x-rays are longitudinal waves. x-rays are mechanical waves. x-rays are transverse waves. x-rays travel at the speed of light. x-rays travel at the speed of sound.

A student does 65.0 J of work to move a stack of books 3.5 m up to a shelf at a
constant velocity. What amount of vertical force does she lift it with?

Answers

The vertical force applied by the student to lift the book is 18.57 N.

What amount of vertical force does she lift it with?

The vertical force applied by the student to lift the book is calculated by applying the following formula.

W = Fd

where;

F is the applied forced is the displacement of the objectW is the wok done by the student

F = W / d

The vertical force applied by the student to lift the book is calculated as;

F = ( 65 J ) / ( 3.5 m )

F = 18.57 N

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for an incoming air flow of 1.0 kg/s, calculate the rate of heat input required to increase the temperature in the combustor to t04

Answers

After calculating I got 07 combustor

The angular speed of Earth is 1.99 x 10-7 radians /seconds.

Answers

Yes, that is correct. The angular speed of Earth is 1.99 x 10-7 radians per second. This is equal to 2π radians per year, or 1 revolution per 365.25 days.

The angular speed of the Earth is the rate at which it rotates around its own axis. It is measured in radians per second, and is typically expressed as 2π radians per day, or 7.27 x 10-5 rad/s. The angular speed of the Earth is constant, meaning that it does not change over time. This is important, as it allows us to measure the length of a day and use this to calculate the rate of other processes such as the seasons and the passage of time.

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Can someone please help answer these 5 questions the picture is attached

Answers

Based on the diagram of the figure:

1. The acceleration of the train between 0 and 20 s = 0.5 m/s²

2. The acceleration of the train between 20 and 40 s = 0.5 m/s²

3. The train's speed at 80 second = 15 m/s

4. The acceleration of the train between 100 and 120 s = 0.75 m/s² (deceleration)

5. The train travel (when the train's speed 10 m/s) = 200 m

The equation of the acceleration:

a = Δv/t

Where,

a = acceleration (m/s²)

Δv = velocity (m/s)

t = time (s)

Hence,

1. The acceleration between 0 and 20:

a = 10/20

= 0.5 m/s²

2. The acceleration between 20 and 40:

a = 10 / (40 - 20)

= 0.5 m/s²

3. The train's speed at 80 = 15 m/s

4. The acceleration between 100 and 120:

a = 15/20

= 0.75 m/s² (deceleration)

5. The distance:

d = speed x time

= 10 x 20

= 200 m

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Two pans of a balance are 39.3 cm apart.
The fulcrum of the balance has been shifted
1.46 cm away from the center by a dishonest
shopkeeper.
By what percentage is the true weight of the
goods being marked up by the shopkeeper?
Assume the balance has negligible mass.
Answer in units of %.

pls help I'm so lost

Answers

The true weight of the goods is being marked up 1,936.5% by the shopkeeper.

What is the error in percentage?

To calculate the percentage of increase in weight, we need to calculate the actual increase in weight, then divide it by the true weight and multiply by 100.

The displacement of the fulcrum has caused a torque on the balance, and we can calculate this torque using the formula: torque = force x distance. The force causing the torque is the weight of the goods, and the distance is the displacement of the fulcrum from the center.

Torque = weight x displacement

= weight x (39.3 / 2 + 1.46)

= weight x (20.365)

The balance is in equilibrium, so the sum of torques on the two pans is zero. Therefore, the torque on the pan with the goods is equal in magnitude but opposite in direction to the torque on the other pan.

Torque_goods = -Torque_counterweights

= - (weight_counterweights x 20.365)

= - (weight_goods x 20.365)

Dividing both sides by weight_goods, we get:

20.365 = - weight_goods / weight_counterweights x 20.365

Solving for weight_goods, we find:

weight_goods = weight_counterweights x 20.365 / 20.365

Therefore, the actual weight of the goods is 20.365 times the true weight. The percentage increase in weight is:

percentage increase = (actual weight - true weight) / true weight x 100

= (20.365 - 1) / 1 x 100

= 1,936.5%

So, the true weight of the goods is being marked up by 1,936.5%.

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A student wants to determine the Stefan-Boltzmann constant, sigma. The student then measures the luminosity, surface area, and temperature of an object. The temperature of the object is changed several times. The student measures the new temperature and luminosity for each of the new cases. The surface area is assumed to be the same in each case. The data is then plotted to determine the Stefan-Boltzmann Law. L=σAT 4 To determine the Stefan-Boltzmann constant we need to transform the data, that according to the theory will be a 4th degree polynomial, to form a straight line. How do we transform the data so that the graph will be linear? What is the slope of the line? What are the labels for the vertical and horizontal axis of the graph?

Answers

The vertical axis of the graph is L/T^4 and the horizontal axis is T.

The units for L/T^4 should be W/m^2K^4, and the units for T should be in Kelvin.

To determine the Stefan-Boltzmann constant, the data must be transformed so that the relationship between luminosity (L) and temperature (T) follows a straight line.

This can be achieved by plotting L/T^4 against T.

According to the Stefan-Boltzmann Law, L = σAT^4,

where A is the surface area and

σ is the Stefan-Boltzmann constant.

So, L/T^4 = σA, which is a constant value for a given surface area.

The slope of the line is equal to σA.

To transform the data so that the graph will be linear, we need to plot the natural logarithm of luminosity (L) against the reciprocal of the temperature (1/T).

This will result in a straight line, as the equation for the Stefan-Boltzmann Law can be transformed into a linear equation by taking the natural logarithm of both sides:

ln(L) = ln(σAT^4) = 4ln(σ) + 4ln(A) - 4/T

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A 0.150-kg glider is moving to the right with a speed of 0.80 m/s on a frictionless, horizontal air track. The glider has a head-on collision with a 0.300-kg glider that is moving to the left with a speed of 2.20 m/s. Find the final velocity (magnitude and direction) of each glider if the collision is elastic. is this question passible?

Answers

Answer: The final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.

Explanation:

Yes, this question is possible to solve.

In an elastic collision, the total momentum of the two objects before the collision is equal to the total momentum after the collision. We can use this principle to find the final velocities of the two gliders.

Let's call the final velocity of the 0.150-kg glider "v1" and the final velocity of the 0.300-kg glider "v2". The initial momentum of the 0.150-kg glider is 0.150 kg * 0.80 m/s = 0.12 kg m/s. The initial momentum of the 0.300-kg glider is 0.300 kg * -2.20 m/s = -0.66 kg m/s. The total initial momentum is 0.12 kg m/s + (-0.66 kg m/s) = -0.54 kg m/s.

The total momentum after the collision is equal to 0.150 kg * v1 + 0.300 kg * v2 = 0.

Solving for v1 and v2, we find:

v1 = (0.300 kg * 2.20 m/s + 0.66 kg m/s) / 0.150 kg = 4.84 m/s to the right

v2 = (0.12 kg m/s - 0.150 kg * 0.80 m/s) / 0.300 kg = -1.48 m/s to the left

So the final velocity (magnitude and direction) of the 0.150-kg glider is 4.84 m/s to the right and the final velocity (magnitude and direction) of the 0.300-kg glider is 1.48 m/s to the left.

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