Find the maximum distance d that the glider moves to the right if the air is turned off, so that there is kinetic friction with coefficient 0.320. Express your answer with the appropriate units.

Answers

Answer 1

Answer:

answer : d ( 10 d + 62.784 ) = 0.1125

Explanation:

Calculate the maximum distance D

Kinetic friction = 0.320

= 1/2 * k * d^2 + 0.320 *m *g * d = 1/2 * m * v^2

= 1/2 * 20 * d^2 + ( 0.320 * 20 * 9.81 ) d = 0.1125

= 10 d^2 + 62.784d = 0.1125

d ( 10 d + 62.784 ) = 0.1125


Related Questions

The following are four electrical components.
A. A component which obeys ohm's law
B. Another component which obeys ohm's law
but which has higher resistance than A
A filament lamp
C.
D. A component, other than a filament lamp,
which does not obey ohm's law.
a. For each of these components, sketch current-
voltage characteristics, plotting current on the
vertical axis, and showing both positive and
negative values. Use one set of axes for A and
B, and separate sets of axes for C and for D.
label your graphs clearly.
b.
Explain the shape of the characteristic for C
c. Name the component you have chosen for D.

Answers

For the following are four electrical components:

a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.

For the following are four electrical components:

a. Sketches of current-voltage characteristics:

For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

  Current (I)

     ^

     |          B

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

     Current (I)

     ^

     |          A

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.

For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.

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A 68 kg
man's arm, including the hand, can be modeled as a 79-cm
-long uniform cylinder with a mass of 3.3 kg. In raising both his arms, from hanging down to straight up, by how much does he raise his center of gravity?

Answers

Answer:

Explanation:

We can calculate the change in the man's center of gravity by considering the initial and final positions of the center of gravity of his arms.

Assuming the man's arms are initially hanging down by his sides, the center of gravity of his arms is located at the midpoint of the cylinder, which is at a distance of L/2 = 79/2 = 39.5 cm from the shoulder joint.

When the man raises his arms straight up, the center of gravity of his arms is located at the top of the cylinder, which is at a distance of L = 79 cm from the shoulder joint.

The change in the man's center of gravity is therefore:

Δh = h_final - h_initial

= L - L/2

= 79 cm - 39.5 cm

= 39.5 cm

Therefore, the man raises his center of gravity by 39.5 cm when he raises both his arms from hanging down to straight up.

MIXED MES AGE
DIRECTIONS. CLICK ON EACH OBJECTAND CORRECTLY ASSEMBLE THE COMMUNICATION MODEL
FEEDBACK
EMAIL
SOCIAL MEDIA
DECODE
ENCODE
DECODE
ENCODE
MESSAGE
TEXT
TALKING
SENDER
RECEIVER
BODY LANGUAGE
NEDIUM
S
ال

Answers

Answer:

I'm not super sure what your asking for. But these look like elements of communication from a speech or communications class.

 --------------message-------->

 O                                          O

\  |  /   ------ channel ------     \  |  /

 /\                                           /\

sender (encoder)            receiver (decoder)

    <----------feedback-------------

The sender (or encoder) encodes the message and sends it.The receiver (or decoder) decodes the message and receives it, then gives feedback to the sender.The channel is the medium through which the message is sent: this could be social media, email, text, talking, you name it.Body language can assist (or not) in sending the message.

25. The length of a bow is L. When it vibrates in the fundamental mode with a length of 2 L, the frequency is f. Taking half of the given length and pulling it to a length of 2L as before, the frequency obtained by vibrating in the basic method is,

(i) 3fo

(iv) √3f

(ii) 6fo

(v) √6fo

(iii) f/3​

Answers

Taking half of the given length and pulling it to a length of 2L as before, the frequency obtained by vibrating in the basic method is 6fo. option(ii)

When a bow vibrates in its fundamental mode with a length of 2L, the frequency is denoted as f. Now, let's consider the scenario where half of the given length (L) is pulled to a length of 2L.

In the fundamental mode of vibration, the frequency is inversely proportional to the length of the vibrating object. Therefore, if the length of the bow is halved to L, the frequency would double to 2f.

When this new length of L is pulled to a length of 2L, we need to determine the frequency obtained in the fundamental mode.

Since the frequency is inversely proportional to the length, we can use the inverse relationship to find the new frequency.

If the original frequency was 2f at length 2L, when the length is reduced to L, the new frequency would be (2f)/(2L) = f/L.

Now, if this length of L is stretched to 2L again, the new frequency in the fundamental mode would be (f/L) * (2L) = 2f. option(ii)

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What voltage is required to move 6A through 5Ω?

Answers

30 volts

E= IxR

See ohms law calculator image below
What voltage is required to move 6A through 5?

The input and output forces for four machines are shown in the table. Machine Forces Machine Input Force (N) Output Force (N) 1 5 50 2 10 50 3 25 50 4 50 50 Which machine would have the greatest mechanical advantage? Responses 1 1 2 2 3 3 4

Answers

Machine 1 has the greatest mechanical advantage among the given machines. To determine the machine with the greatest mechanical advantage, we need to calculate the mechanical advantage for each machine.

Machine 1: Mechanical Advantage = Output Force / Input Force = 50 N / 5 N = 10

Machine 2: Mechanical Advantage = Output Force / Input Force = 50 N / 10 N = 5

Machine 3: Mechanical Advantage = Output Force / Input Force = 50 N / 25 N = 2

Machine 4: Mechanical Advantage = Output Force / Input Force = 50 N / 50 N = 1

Comparing the mechanical advantages, we can see that Machine 1 has the highest mechanical advantage of 10. This means that Machine 1 can multiply the input force by 10 to produce the output force. It provides the greatest amplification of force among the four machines.

Machine 2 has a mechanical advantage of 5, Machine 3 has a mechanical advantage of 2, and Machine 4 has a mechanical advantage of 1. Therefore, Machine 1 has the greatest mechanical advantage among the given machines.

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write any five chemical equations and balance them​

Answers

In each balanced equation, the number of atoms for each element is the same on both sides of the equation, which satisfies the law of conservation of mass.

Combustion of Methane:

CH₄ + 2O₂ → CO₂ + 2H₂O

Synthesis of Water:

2H₂ + O₂ → 2H₂O

Neutralization Reaction:

HCl + NaOH → NaCl + H₂O

Decomposition of Hydrogen Peroxide:

2H₂O₂ → 2H₂O + O₂

Photosynthesis:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂

Now let's balance each equation:

Combustion of Methane:

CH₄ + 2O₂ → CO₂ + 2H₂O

Synthesis of Water:

2H₂ + O₂ → 2H₂O

Neutralization Reaction:

HCl + NaOH → NaCl + H₂O

Decomposition of Hydrogen Peroxide:

2H₂O₂ → 2H₂O + O₂

Photosynthesis:

6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂

In each balanced equation, the number of atoms for each element is the same on both sides of the equation, which satisfies the law of conservation of mass. Balancing chemical equations is a process of adjusting the coefficients in front of each compound or molecule to ensure that the number of atoms of each element is equal on both sides of the equation.

Balancing equations is an important skill in chemistry as it helps us understand the reactants, products, and stoichiometry of a chemical reaction. It allows us to determine the relative amounts of substances involved in a reaction and predict the outcome of the reaction.

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A single Oreo cookie provides 53 kcal of energy. An athlete does an exercise that involves repeatedly lifting (without acceleration) a 100-pound weight two-feet above the ground with an energy efficiency of 25%. How many repetitions can she do with the energy supplied from a single Oreo cookie? What happens to the number of repetitions that can be done if the efficiency increases?

Answers

The number of times the athlete can lift the weight with single energy supplied by the Oreo cookie is 204 times and this number of times will increase if the efficiency increases.

Energy used by the athlete

The energy used by the athlete is calculated as follows;

E = Fd

where;

F is the applied force = 100 lb weight = 444.82 Nd is the distance = 2 ft = 0.61 m

E = 444.82 x 0.61 = 271.34 J

Input energy

The Input energy of the athlete = 53 kcal = 221752 J

Number of times the athlete can lift the weight

\(E = \frac{0utput \ energy}{1nput \ energy} \\\\0.25 = \frac{n(271.34)}{221752} \\\\271.34n = 55483\\\\n = \frac{55483}{271.34} \\\\n = 204\)

Thus, the number of times the athlete can lift the weight with single energy supplied by the Oreo cookie is 204 times and this number of times will increase if the efficiency increases.

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HELP!! ASAP I DONT KNOW HOW TO THIS ​

HELP!! ASAP I DONT KNOW HOW TO THIS

Answers

Hope this helps! Please give Brainliest!

This is all about reflection. So my theory on this is that you have to look at the checklist:

L: Location

O Orientation

S: Size

T :

Answer the questions (by questions I mean the LOST questions, where they ask you to choose on of the options. For example, for 'T' you have to choose as to whether it is 'real or virtual' ) by using the diagram below:
HELP!! ASAP I DONT KNOW HOW TO THIS

re testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A) the car has a speed of 25.0 m/s and at the top of the loop (point B) it has speed of 8.00 m/s . You may want to review (Pages 203 - 212) . For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A vertical circle with friction. Part A As the car rolls from point A to point B, how much work is done by friction?

Answers

Answer:

-4530 J

Explanation:

Given that

Mass of the car, m = 100 kg

Speed of the car at point A, v1 = 25 m/s

Speed at point B, v2 = 8 m/s

Radius of the track, r = 12 m and with respect to the origin of the center of the track, we say that y1 = -12 at point A and y2 = 12 at point B

We also know that

W(total) = W(grav) + W(other) = K₂ - K₁

Work done by the gravitational force, W(grav) = -U(grav) = mgy1 - mgy2

Kinetic Energy, K = ½mv²

Adding all together, we have

½mv₁² + mgy1 + W(other) = ½mv₂² + mgy2

½ * 100 * 25² + 100 * 9.8 * -12 + W = ½ * 100 * 8² + 100 * 9.8 * 12

50 * 625 + 980 * -12 + W = 50 * 64 + 980 * 12

31250 - 11760 + W = 3200 + 11760

19490 + W = 14960

W = 14960 - 19490

W = -4530 J

Why does the force of gravity on Earth always pull things down?

a
The force of gravity on Earth is always pointing down
b
The force of gravity on Earth always points to the center of the planet
c
The force of gravity on Earth is a force that repulses
d
The force of gravity on Earth is a force that pulls objects away from each other

Answers

Explanation:

the answer is D because of inertia aka the force that pulls obejects downs

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Mountain Ecosystems Assignment Answer each question below in complete sentences.1) Identify a predator from an Ethiopian Highlands ecosystem. How else can this animal be classified in terms of feeding relationships? What is its prey? How else can its prey animal be classified in terms of feeding relationships? Identify a predator from a Himalayan Mountain ecosystem. How else can this animal be classified in terms of feeding relationships? What is its prey? How else can its prey animal be classified in terms of feeding relationships?

Answers

An example of a a predator in the Ethiopian Highlands ecosystem is the

Wolf.The wolf is a carnivore which acts as a predator to other smaller

animals in the ecosystem.

What is a Prey?

Preys are mostly smaller animals in which the predators feed on for food.

They are usually herbivores and primary consumers in the ecosystem.

Examples of Preys include:

RodentsDeerBison etc.

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write down the value of

920 kg in g

Answers

Answer:

920000

Explanation:

Each kg contains 1,000 grams

If a solid metal sphere and a hollow metal sphere of equal diameters are each given the same charge, the electric field (E) midway between the center and the surface is...A. greater for the solid sphere than for the hollow sphere.B. greater for the hollow sphere than for the solid sphere.C. zero for bothD. equal in magnitude for both, but one is opposite in direction from the other.

Answers

Answer:

C. zero for both

Explanation:

In case of solid metal sphere , when it is given any charge , all the charges are transferred on the surface and within surface no charge exists . In case of hollow metal sphere , all charges reside on surface . In this way , in both solid and hollow sphere , all charge reside on the surface and no charge resides inside it . Hence due to absence of any charge inside  , there is no electric field inside the sphere in both the cases .  

Hence in both the case electric field is zero .

option C is correct .

An elevator filled with passengers has a mass of 1663 kg. (a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 3.25 s. Calculate the tension in the cable (in N) supporting the elevator. 18317 Correct: Your answer is correct. N (b) The elevator continues upward at constant velocity for 8.92 s. What is the tension in the cable (in N) during this time

Answers

Answer:

(a) T = 18309.63 N = 18.31 KN

(b) T = 16314.03 N = 16.314 KN

Explanation:

(a)

The tension in an elevator while moving upward with some acceleration is given by the following formula:

\(T = m(g+a)\\\)

where,

T = Tension = ?

m = mass = 1663 kg

g = acceleration due to gravity = 9.81 m/s²

a = acceleration of elevator = 1.2 m/s²

Therefore,

\(T = (1663\ kg)(9.81\ m/s^2 + 1.2\ m/s^2)\\\)

T = 18309.63 N = 18.31 KN

(b)

Constant velocity means no acceleration. So, in that case, the tension will be equal to the weight of the elevator:

\(T = mg\\T = (1663\ kg)(9.81\ m/s^2)\\\)

T = 16314.03 N = 16.314 KN

A baseball approaches home plate at a speed of 42.0 m/s, moving horizontally just before being hit by a bat. The batter hits a pop-up such that after hitting the bat, the baseball is moving at 51.0 m/s straight up. The ball has a mass of 145 g and is in contact with the bat for 1.70 ms. What is the average vector force the ball exerts on the bat during their interaction

Answers

Answer:

F= 3582j + 4350i

Explanation:

Given data

Let the average vector force be F

the initial and final momentum be Pi and Pf respectively

Velocity v1=42m/s

and v2=51m/s

Mass m=145g=0.145kg

Time t=1.7ms=0.0017s

We know that

F= pf - pi

The baseball initially moves in the –x direction

F= mv1 – (-mv2)

F = [mv1– (-mv2)] / t

F= [(0.145)(42.0)j + (0.145)(51.0i)] / 0.0017

F= 3582j + 4350i

An object moves at constant speed in a circle. Which of the following is true:

A. A net force in the direction of motion acts on the object.
B. A net force pointing away from the center of the circle acts on the object.
C. A net force pointing towards the center of the circle acts on the object.
D. The net force acting on the object is zero.

Answers

The answer to your question is B

How much POWER is used in 30 seconds when you complete 150 Joules of work?

Answers

Answer:

Power of 5 watts is used

Explanation:

Mechanical Work and Power

Mechanical work is the amount of energy transferred by a force.

Being F the force vector and s the displacement vector, the work is calculated as:

\(W=\vec F\cdot \vec s\)

If both the force and displacement are parallel, then we can use the equivalent scalar formula:

W=F.s

Power is the amount of energy converted per unit of time. The SI unit of power is the watt, equal to one joule per second.

The power can be calculated as:

\(\displaystyle P=\frac {W}{t}\)

Where W is the work and t is the time.

It's required to calculate the power used in t=30 seconds when W=150 Joules of work are completed. Substitute in the formula:

\(\displaystyle P=\frac {150}{30}\)

P = 5 Watt

Power of 5 watts is used

Plz help I don’t know what to do

Plz help I dont know what to do

Answers

a. compression (the place on a wave where the lines are closest together)
b. rarefaction (the place on a wave where the lines are farthest apart)
c. longitudinal

Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.

A.)What is the amplitude of the wave ? Include correct units.
B.)Use the graph to determine the time of one wave. Use it to find the frequency.
C.)If the speed of the wave is 25 m/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.

Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.A.)What

Answers

(a) The amplitude of the wave is 0.2 m.

(b) The period of the wave is  4 s.

(c) The wavelength of the wave is 100 m.

What is the amplitude of the wave?

(a) The amplitude of the wave is the maximum displacement of the wave.

amplitude of the wave = 0.2 m

(b) The period of the wave is the time taken for the wave to make one complete cycle.

period of the wave = 5.5 s - 1.5 s = 4 s

(c) The wavelength of the wave is calculated as follows;

λ = v / f

where;

v is the speed of the wavef is the frequency of the wave

f = 1/t = 1 / 4s = 0.25 Hz

λ = ( 25 m/s ) / 0.25 Hz

λ = 100 m

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A baby carriage is sitting at the top of a hill that is 21 m high. The carriage with the baby weighs 20
kg. The carriage has
energy. Calculate it

Answers

Answer:

Energy in carriage (Potential energy) = 4,116 J

Explanation:

Given:

Mass of baby = 20 kg

Height = 21 m

Find:

Energy in carriage (Potential energy)

Computation:

The energy accumulated in an object as a result of its location relative to a neutral level is known as potential energy.

In carriage accumulated energy is potential energy.

Energy in carriage (Potential energy) = mgh

Energy in carriage (Potential energy) = (20)(9.8)(21)

Energy in carriage (Potential energy) = 4,116 J

How are magnetic fields like vectors?

Answers

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Missy Diwater, the former platform diver for the Ringling Brother's Circus had a kinetic energy of 15,000 J just prior to hitting the bucket of water. If Missy's mass is 50 kg, then what is her speed?

Answers

Answer:

24.5 m/s

Explanation:

KE=1/2mv^2

15000=1/2(50)v^2

30000=(50)v^2

600=v^2

sqrt600=v

v=24.5 m/s!!

Elizabeth .........................................................................

Answers

Answer:

who's elizabeth? haha

Answer:

What about it?

Explanation:

Un levantador de pesas puede generar 3000 N de fuerza ¿Cuál es el peso máximo que puede levantar con una palanca que tiene un brazo de la fuerza de 2 m y un brazo de resistencia de 50 cm?

Answers

Responder: 12000N

Explicación: Usando la fórmula para encontrar la eficiencia de una máquina. Eficiencia = ventaja mecánica / relación de velocidad × 100%

Dado MA = Carga / Esfuerzo

Relación de velocidad = distancia recorrida por esfuerzo (brazo de fuerza) / distancia recorrida por carga (brazo de resistencia)

MA = Carga / 3000

VR = 2 / 0.5 VR = 4

Asumiendo que la eficiencia es 100% 100% = (Carga / 3000) / 4 × 100%

1 = (Carga / 3000) / 4

4 = Carga / 3000

Carga = 4 × 3000

Carga = 12000N

Esto significa que el peso máximo que se puede levantar es 12000N

An 8.00- W resistor is dissipating 100 watts. What are the current through it and the difference of potential across it?

Answers

Answer:

I= 3.5 amps

Explanation:

Step one:

given data

rating of resistor R= 8 ohms

power P= 100W

Required

The current I

Step two

Yet this power is also given by

\(P = I^2R\)

make I subject of the formula we have

\(I= \sqrt{\frac{P}{R} }\)

substitute

\(I= \sqrt{\frac{100}{8} }\\\\I=\sqrt{12.5}\\\\I= 3.5 amps\)

ASTRONOMY
Match the following phases of stellar evolution to its characteristics.

*please help me thx*

ASTRONOMYMatch the following phases of stellar evolution to its characteristics.*please help me thx*

Answers

Answer:

1. Brown dwarf.

2. Red giant.

3. Black dwarf.

4. White dwarf.

5. Black hole.

Explanation:

A star is a giant astronomical or celestial object that is comprised of a luminous sphere of plasma, binded together by its own gravitational force.

Basically, stars are typically made up of two (2) main hot gas, Hydrogen (H) and Helium (He).

Some of the examples of stars are; Canopus, Sun (closest to the Earth), Betelgeus, Antares, Vega etc.

1. Brown dwarf: does not undergo hydrogen fusion.

2. Red giant: has an outer shell of burning hydrogen and a core of helium.

3. Black dwarf: a white dwarf that has lost all its energy.

4. White dwarf: has a core of carbon that is not massive enough to fuse. A white dwarf also known as degenerate dwarf is a star or an electron degenerate matter and is as massive as the Sun but only about as large in size as planet Earth. Also, the maximum mass of a white dwarf is about 1.4 times the mass of the Sun.

5. Black hole: formed from the collapse of a white dwarf beyond 1.5 solar masses.

Answer:

other person is correct!!!

Explanation:

got 100 on test

please help and explain I have no idea this was supposed to be math

please help and explain I have no idea this was supposed to be math

Answers

Remember that the thin-lens equation relates the fcal length (f) of a tin lens with the distance from the lens to the ojbject d_o and the distance from the lens to the image, d_o.

According to he txext of the image, the focal length is equal to x cm and the distance from the lens to the object is x+20cm. Then, f and d_o are known and we are asked to find an expression fo d_i. Isolate d_i from the equation:

\(\begin{gathered} \frac{1}{f}=\frac{1}{d_i}+\frac{1}{d_o} \\ \\ \Rightarrow\frac{1}{d_i}=\frac{1}{f}-\frac{1}{d_o} \\ \\ \Rightarrow\frac{1}{d_i}=\frac{d_o-f}{fd_o} \\ \\ \Rightarrow d_i=\frac{fd_o}{d_o-f} \end{gathered}\)

Replace f=x and d_o+x+20:

\(d_i=\frac{(x)(x+20)}{(x+20)-x}=\frac{x(x+20)}{x+20-x}=\frac{x(x+20)}{20}=\frac{1}{20}x^2+x\)

The distance from the lens to the place where the image is form is given by the expression x(x+20)/20.

Therefore,the expression in simplest oform for how far from the lens should a screen be placed to put the image in focus, is:

\(\frac{1}{20}x^2+x\)

Choose True or False. If False, choose the statement that makes it True.

James Clerk Maxwell laid the foundation for the discovery of electromagnetism.

Answers

James Clerk Maxwell laid the foundation for the discovery of electromagnetism. True
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