Light travels through air and is incident upon the surface of a diamond at angle of 30 degrees. If the index of refraction for a diamond is 2.42. Calculate angle of refraction as the light travels into the diamond.

Answers

Answer 1

As light enters the diamond, it is refracted at an angle of 12.3 degrees.

Definition of refractive index Diamond has a refractive index of 2.42. What does this statement actually mean?

According to the aforementioned assertion, the speed of light in a diamond is 1.42 times that of light in a vacuum. The speed of light in a diamond will be 2.42 times slower than it is in air due to the high refractive index of diamonds.

\(heta2 = 12.3 degrees\)

When we simplify the equation, we obtain:

\((1/2.42) x Sin(30) = Sin(theta2)\)

\(Theta2 sin(2) = 0.208\)

When we take the inverse sine of both sides, we obtain:

\(12.3 degree theta2\)

Using both sides' inverse sine,

\(theta2 = 12.3 degrees\)

To know more about refracted visit:

https://brainly.com/question/14760207

#SPJ1


Related Questions

A 193.1g mass is hung from a 19.4g clamp on the right side of the stick, a 183.9 mass is hung from a 12.1g clamp on the left side of the meter stick. Determine the total torque from the unknown mass

A 193.1g mass is hung from a 19.4g clamp on the right side of the stick, a 183.9 mass is hung from a

Answers

The total torque created by the two known masses is 1.848 Nm.

How to calculate the torque

We can use the formula for torque, which is given by:

τ = F x r x sin(θ)

where τ is the torque, F is the force applied, r is the distance from the pivot point to the point where the force is applied, and θ is the angle between the force and the lever arm.

For the first mass (193.1 g), the force applied is the weight of the mass, which is:

F1 = m1 x g = 0.1931 kg x 9.81 m/s^2 = 1.893 N

The distance from the pivot point to the point where the force is applied is half the length of the meter stick, which is:

r1 = L/2 = 0.5 m

The angle between the force and the lever arm is 90 degrees, so:

θ1 = 90 degrees

Using these values, we can calculate the torque created by the first mass as:

τ1 = F1 x r1 x sin(θ1) = 1.893 N x 0.5 m x sin(90 degrees) = 0.9465 Nm

For the second mass (183.9 g), we can follow the same procedure and find:

F2 = m2 x g = 0.1839 kg x 9.81 m/s^2 = 1.803 N

r2 = L/2 = 0.5 m

θ2 = 90 degrees

τ2 = F2 x r2 x sin(θ2) = 1.803 N x 0.5 m x sin(90 degrees) = 0.9015 Nm

The total torque created by the two known masses is the sum of these individual torques, which is:

τtotal = τ1 + τ2 = 0.9465 Nm + 0.9015 Nm = 1.848 Nm

Therefore, the total torque created by the two known masses is 1.848 Nm.

Learn more about torque on

https://brainly.com/question/20691242

#SPJ1

HMMMM???? IDK....CAN YOU HELP ME PLEASE

HMMMM???? IDK....CAN YOU HELP ME PLEASE

Answers

I have no idea sorry

in which condition does relative velocity becomes zero .why? Please answer fast as possible​

Answers

Answer:

It is zero when two bodies are moving in the same direction, the same velocity, and through the same medium

Explanation:

Not sure how to explain it I’m sorry

Explanation:

➠➢ The relative velocity becomes zero when the two bodies move in the same direction with the same velocity. When a person sits on the chair, the relative velocity of the person with respect to the chair is zero. The relative velocity of the chair with the person is also zero.

ᴷᴵᴺᴳ°᭄Ⱨ₳₵₭ɆⱤ㋡

The process of cytokinesis is different in plant and animal cells. What structure is needed for a plant cell to go through cytokinesis?

Answers

Answer:

Cytokinesis occurs differently in animal and plant cells. In animal cells, the plasma membrane of the parent cell pinches inward along the cell's equator until two daughter cells form. In plant cells, a cell plate forms along the equator of the parent cell.

Explanation:

Place the follow in increasing order of impedance, which order is correct?
A. PZT, matching layer, gel, skin
B. matching layer, gel, PZT, skin
C. PZT, gel, skin, matching layer
D. skin, gel, matching layer, PZT

Answers

The correct order of increasing impedance is:

C. PZT, gel, skin, matching layer

Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.

PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.

Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.

Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.

The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.

Therefore, the correct order is C.

learn more about impedance Here:

https://brainly.com/question/30475674

#SPJ11

The chart show the masses and velocities of two colliding objects that stick together after a collision.



According to the law of conservation of momentum, what is the momentum of the object after the collision?

4,500 g · m/s
1,750 g · m/s
1,500 kg · m/s
3,000 kg · m/s

Answers

The momentum of the object after the collision is  1500 kg. m/s.

What is conservation of momentum principle?

When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.

The external force is not acting here, so the initial momentum is equal to the final momentum. In inelastic collision, after the collision, the two objects are stick together and final velocity is the common velocity for both the bodies.

Given is the chart show the masses and velocities of two colliding objects that stick together after a collision.

Object        Mass (kg)           Velocity (m/s)

A                   200                      15

B                     150                    - 10

Using the conservation of momentum principle, we have

m₁u₁ +m₂u₂ =(m₁ +m₂) v = Pf

Substitute the values, then the momentum after collision will be

200x15 +150x(-10) =Pf

Pf = 1500 kg. m/s

Thus, the  momentum after collision is 1500 kg. m/s.

Learn more about conservation of momentum principle

https://brainly.com/question/14033058

#SPJ1

Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.08 nC, and the other has a charge of 4.02 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other

Answers

The magnitude (in N) of the electric force that one particle exerts on the other is A. F=107.6nN.

F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)

F=(282.4×10^-9)/2.6244

F=107.6×10^-9N

F=107.6nN

Experiments with electric charges have shown that two charged objects exert electrical forces on each other. The magnitude of the force is linearly proportional to the net charge of each object and inversely proportional to the square of the distance between the objects.

Coulomb's law for calculating electrostatic forces. This force arises from the interaction between two charged objects (or point charges), the magnitude of which is calculated by F = kQ1Q2r2 F = k Q 1 Q 2 r2.

Learn more about the electric field  here: https://brainly.com/question/14372859

#SPJ4

Volume of 10 coin is 25ml what is the volume of 1 coin

Answers

Answer: 2.5 ML

Explanation:

10 ÷ 10 = 1

25 ÷ 10 = 2.5

The volume of 1 coin is 2.5 ML

Which statement best describes a primary source?

a. the source is written by an expert in the field
b. the source is compiled from other sources
c. the source is written by the person who conducted the expirement
d. the source is filled with mathematical questions

Answers

Answer:

C.

Explanation:

c. the source is written by the person who conducted the experiment. A primary source is an original piece of information created at the time under study. It can be a diary, a letter, a photograph, a recording, or any other type of artifact. It provides firsthand information about an event or topic, and is created by a person who was directly involved or witnessed it.

Use dimensional analysis to convert the following units. Show your work.
1) 2.5 days to seconds
2.5 d
2) 25 km to mm
3) 22g to kg

Answers

Answer:

Explanation:

conversion of 2.5 days to seconds

2.5 days =2.5 days*24 hours*3600 seconds

2.5 days=216000seconds

b) conversion of 25 km to mm

1 km=1000000 mm

therefore

25 km=25*1000000=25000000 mm

c) conversion 22 g to kg

1000 g=1 kg

therefore

22 g=22/1000=0.022 kg

name the types of forces​

Answers

Answer:

Frictional Force

Gravitational Force

Tension Force

Electrical Force

Normal Force

Magnetic Force

Air Resistance Force

what is the difference between speed and velocity in physics

Answers

The primary difference between speed and velocity is that speed is a scalar quantity that describes how fast an object is moving, while velocity is a vector quantity that describes how fast an object is moving in a particular direction

Speed and velocity are two critical concepts in physics. They are used to describe the motion of an object. While both describe how fast an object is moving, there are some fundamental differences between the two. Let's explore these differences.

What is speed?

Speed is a scalar quantity that describes how quickly an object moves. It is measured in meters per second (m/s) or kilometers per hour (km/h).

Speed can be calculated using the following formula:

speed = distance ÷ time

For example,

if an object covers a distance of 150 meters in 10 seconds, its speed can be calculated as follows:

Speed = distance ÷ time= 150 meters ÷ 10 seconds= 15 meters per second (m/s)

What is velocity?

Velocity, on the other hand, is a vector quantity that describes how fast an object is moving in a particular direction. It is measured in meters per second (m/s) or kilometers per hour (km/h).

Velocity can be calculated using the following formula:

velocity = displacement ÷ time

For example, if an object travels a displacement of 150 meters in 10 seconds in a specific direction, its velocity can be calculated as follows:

Velocity = displacement ÷ time= 150 meters ÷ 10 seconds= 15 meters per second (m/s) in a specific direction.

In conclusion, the primary difference between speed and velocity is that speed is a scalar quantity that describes how fast an object is moving, while velocity is a vector quantity that describes how fast an object is moving in a particular direction.

learn more about speed on

https://brainly.com/question/13943409

#SPJ11

The electric potential energy of an electric dipole is ______ when the dipole is aligned with an electric field. The electric potential energy of an electric dipole is ______ when the dipole is aligned with an electric field. most positive most negative zero infinite undefined

Answers

Answer:

Most negative

Explanation:

The electric potential energy of a dipole U = -pEcosθ where p = dipole moment, E = electric field and θ = angle between p and E.

When the electric dipole is aligned with the electric field, the angle between p and E is 0°. That is θ = 0°.

So, U = -pEcosθ

U = -pEcos0°

U = -pE

which is the most negative value it can have.

So, the electric potential energy of an electric dipole is most negative when the dipole is aligned with an electric field.

So, most negative is the answer.

in the previous problem, if your system's power use under load is 125 watt, and your electricity cost was 15cents per kwh (kilowatt hour), what is the cost of power for running the system for a month under continuous load? enter answer in dollars and cents, accurate to the nearest penny.

Answers

In the previous problem, if your system's power use under load is 125 watts, and your electricity cost was 15 cents per kwh (kilowatt hour), the cost of power for running the system for a month under continuous load would be $16.38.

A watt is a unit of power in the International System of Units (SI). One watt is equal to one joule per second (J/s), or one ampere of electrical current with a potential difference of one volt (A⋅V).  Electricity is the set of physical phenomena related to the presence and motion of matter that has the property of electric charge. It is associated with charged particles, including electrons, protons, and ions, and the electromagnetic fields that interact with them. Penny is a monetary unit of the United States, worth one cent. It's the smallest denomination of currency in the US, with the exception of the half-cent that was previously used.

Learn more about watts here:

https://brainly.com/question/24001284

#SPJ11

much like a battery these generate electricity from chemical events

Answers

The term you are looking for is "chemical battery". Chemical batteries work by converting chemical energy into electrical energy through a series of chemical reactions. These reactions take place within the battery's cells, which are composed of two electrodes and an electrolyte.

When the battery is connected to a circuit, the chemical reactions produce an electrical current that can be used to power devices. Chemical batteries are widely used in many applications, including consumer electronics, electric vehicles, and renewable energy systems. They are a crucial component of our modern technological society, and ongoing research is focused on developing more efficient and sustainable battery technologies to meet growing energy demands.

To know more about electrical energy visit :-

https://brainly.com/question/16182853

#SPJ11

How many ways (directions) can an object move in 1 Dimension? Can it be still? Can it speed up or slow down?

Answers

Explanation:

Let's assume the 1D is along x - axis.

Then, the object can move in two directions, along +x axis or - x axis, depending upon reference point .

Yes, it can be still, speed up and slow down.

Carla draws two circuit diagrams that connect the same components in different ways, as shown. which statement about the circuits is correct? the total resistance in circuit a is greater than that in circuit b. when a bulb in circuit a goes out, the other bulbs keep shining. the bulbs in circuit a shine brighter than those in circuit b. when a bulb in circuit b goes out, the other bulbs go out.

Answers

Carla draws two circuit diagrams that connect the same components in different ways, as shown. The correct statement is "the total resistance in circuit a is greater than that in-circuit b.". Option A. This is further explained below.

What is a circuit?

Generally, a circuit is simply defined as a fixed schedule of activities, but In terms of physical structure of a connection circuit is a visual description of a body of electrical connection and it help the practitioner ro better understand its subject and easily make connections.

In conclusion, Carla creates two circuit schematics, as illustrated, that link the same components in various ways. "The overall resistance in circuit an is larger than that in b," is the correct statement.

Read more about  resistance

https://brainly.com/question/11431009

#SPJ4

Answer:

A

Explanation:

Edge 2022

In physics, power is __________.
a. how fast something does work
b. how much force something can apply
c. how strong something is
d. how much work something can do

Answers

Answer:

The answer is A

Explanation:

Answer:

A. How fast something works.

Explanation:

Power in physics is the rate at which work is done.

Any force that resists motion and causes heat

Answers

Answer: Two objects sliding against each other.

Explanation:

The friction between the two surfaces converts kinetic energy into heat.

Answer the following questions: 1. What is the function of the antenna? 2. What are the differences between wire antenna and aperture antenna? 3. What is the principal operation of reflector antenna? 4. What is the main purpose of array antennas? 5. What are the side lobes? 6. What does null zone represent in the field pattern? 7. Clarify the relation between stray factor and beam efficiency. 8. Clarify the difference between gain and directivity.

Answers

The antenna is a tool to transmit and receive electromagnetic waves. It is shaped into a specific design to radiate electromagnetic energy. It has a null zone that represents an area in the radiation pattern.

The following is the complete response to the queries:

1. The function of an antenna is to transmit and receive electromagnetic waves.

2. Wire antennas are made of conductive wire that is shaped into a specific design to radiate electromagnetic energy. Aperture antennas use an opening in a conductive surface to radiate or receive electromagnetic waves.

3. Reflector antennas use a curved surface to reflect electromagnetic waves toward the direction of interest.

4. The main purpose of array antennas is to increase the directivity and gain of an antenna system by combining multiple antennas.

5. Side lobes are the undesirable radiation patterns that occur on the sides of the main lobe in an antenna's radiation pattern.

6. The null zone represents an area in the radiation pattern where the radiation intensity is at its minimum.

7. The stray factor is a measure of how much of the energy radiated by an antenna is lost due to factors like impedance mismatch or other inefficiencies. Beam efficiency is a measure of how much of the energy radiated by an antenna is directed toward the main lobe.

8. Gain is a measure of how much an antenna amplifies the incoming signal compared to a reference antenna. Directivity is a measure of how well an antenna concentrates the radiated energy in a particular direction.

To know more about Electromagnetic Waves visit:

https://brainly.com/question/29696752

#SPJ11

A hot-water heater is operated by solar power. If the solar collector has an area of 5.8 m2 and the power delivered by sunlight is 550 W/m2, how long will it take to increase the temperature of 1.0 m3 of water from 25°C to 57°C?

Answers

Answer:

26°

Explanation:

inreases by a minute

Photoelectric effect is observed on two metal surfaces.
Light of wavelength 300.0 nm is incident on a metal that has a work function of 2.80 eV. What is the maximum speed of the emitted electrons?
...m/s

Answers

Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

The photoelectric effect is observed on two metal surfaces. If light of wavelength 300.0 nm is incident on a metal that has a work function of 2.80 eV, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s. What is the photoelectric effect? The photoelectric effect, also known as the Hertz–Lenard effect, is a phenomenon in which electrons are emitted from a metal surface when light is shone on it. The photoelectric effect was initially studied by Heinrich Hertz in 1887 and later by Philipp Lenard in 1902.Latex-free answer: To calculate the maximum speed of emitted electrons using the photoelectric effect equation, we can use the following formula: KEmax = hν - φwhere KE max is the maximum kinetic energy of the ejected electron, h is Planck's constant, ν is the frequency of the incident light, and φ is the work function of the metal. Using the equation, we can convert the given wavelength of 300.0 nm to frequency by using the formula c = λν where c is the speed of light and λ is the wavelength. c = λνν = c/λν = (3.0 x 10⁸ m/s) / (300.0 x 10⁻⁹ m)ν = 1.0 x 10¹⁵ Hz, Now we can plug in the values in the equation: KE max = (6.626 x 10⁻³⁴ J s) (1.0 x 10¹⁵ Hz) - (2.80 eV)(1.60 x 10⁻¹⁹ J/eV)KE max = 1.06 x 10⁻¹⁹ J - 4.48 x 10⁻¹⁹ JKE max = -3.42 x 10⁻¹⁹ J. Since KE max is a positive value, we can convert the value to speed using the equation KE = 1/2mv² where m is the mass of the electron and v is the velocity of the electron: v = √(2KE/m)v = √[(2)(3.42 x 10⁻¹⁹ J)/(9.11 x 10⁻³¹ kg)]v = 1.62 x 10⁶ m/s. Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

To know more about photoelectric emission visit:

https://brainly.com/question/31793669

#SPJ11

Find the voltage gain of the amplifier in Figure 1 by
measuring the peak amplitude of the input and output
voltages. Calculate the voltage gain as the ratio between
them.

Answers

Voltage gain is an essential concept of electronic circuit amplifiers. It is defined as the ratio of the amplifier's output voltage to its input voltage. It is an important parameter of the amplifier, which specifies how much the amplifier can amplify the input signal's voltage level to produce the output signal. It is measured in decibels (dB) or as a ratio.

The voltage gain of the amplifier in Figure 1 can be determined by measuring the peak amplitude of the input and output voltages. The voltage gain can be calculated by the 'between the output voltage and the input voltage.

The voltage gain formula is given as,

Voltage Gain = Output Voltage/Input Voltage

To calculate the voltage gain, let us first measure the peak amplitude of the input and output voltages. Let us assume that the peak amplitude of the input voltage is 2V, and the peak amplitude of the output voltage is 12V.

The voltage gain of the amplifier can be calculated using the above formula,

Voltage Gain = 12V/2V

Voltage Gain = 6

Therefore, the voltage gain of the amplifier in Figure 1 is 6.

To know more about circuit visit-

https://brainly.com/question/12608516

#SPJ11

Which statement describes the way in which energy moves between a
system of reacting substances and the surroundings?
OA. The thermal energy of the system and its surroundings increases.
B. Molecular collisions create energy that is then released into the
surroundings.
C. The potential energy of the system and its surroundings
increases.
D. Molecular collisions transfer thermal energy between the system
and its surroundings.

Answers

The statement describes the way in which energy moves between a system of reacting substances  is  Molecular collisions transfer thermal energy between the system and its surroundings. Option D

what are Molecular collisions?

In a chemical reaction, energy is either released or absorbed. This energy is transferred through molecular collisions. In other words, When molecules collide, they exchange energy.

If the reaction is exothermic, meanng it releases heat, the thermal energy is transferred from the system to the surroundings.

If the reaction is endothermic, what this means is that it absorbs heat, thermal energy is transferred from the surroundings to the system.

Find more exercises on  Molecular collisions;

https://brainly.com/question/30773567

#SPJ1

a plane is flying horizontally with speed 198 m/s at a height of 3210 m above the ground, when the package is dropped from a plane. The acceleration of gravity is 9.8 m/s^2.

a second package is thrown downward from the plane with a vertical speed v1=78m/s. what is the magnitude of the total velocity of the package at the moment it is thrown as seen by an observer on the ground? answer in units of m/s.

Answers

The magnitude of the total velocity of the package at the moment it is thrown as seen by an observer on the ground is D = 193m/s  15.2s = 2934 m.

What is velocity ?

velocity is the prime indicator of the position as well as the rapidity of the object

Sol-

1. 0.5gt^2 = 2010 m.

4.9t^2 = 2010.

t = 20.3 s. = Fall time.

D = Xot. = 193m/s 20.3s = 3909 m.

2. V=sqrt(Xo^2+Yo^2)=sqrt(193^2+58^2) = 202 m/s.

3. Vot + 0.5gt^2 = 2010 m.

58t + 4.9t^2 = 2010.

4.9t^2 + 58t - 2010 = 0.

Use the  quadratic formula we are get  

t = 15.2 s. = Fall time

D = 193m/s  15.2s = 2934 m.

D = 193m/s  15.2s = 2934 m.

To know more about velocity click-

https://brainly.com/question/25749514

#SPJ9

What is the density of a box measuring 100 grams and 10 ml?

Answers

Answer:

In order to convert density to grams, you have to put the mass on one side of the equation, and the density and the volume on the other. Therefore, d * v = m. Multiply the density by the volume. Using the example in step 1, you would multiply 2 g/mL by 4mL.

Explanation:

ok

show the steps please
IV. Calculations (30 points) 1.The probability of occurrence for letter A in English alphabet is minimum, and equals 0.5. Find the information content? (3 points)

Answers

The information content for the letter A with a probability of occurrence of 0.5 is 1 bit.

The information content is the amount of information contained in a message or an event. It is expressed in terms of bits. The formula to calculate information content is:-

I = - log2 P

where

I is information content

P is the probability of occurrence

Given that probability of occurrence for the letter A in the English alphabet is minimum and equals 0.5.

We can substitute this value into the formula:

I = -log2(0.5)

To evaluate this expression, we can use the fact that log2(0.5) is equal to -1:

I = -(-1)

Simplifying further, we get:

I = 1

Therefore, the information content for the letter A with a probability of occurrence of 0.5 is 1 bit.

Learn more about Probability from the given link:

https://brainly.com/question/32117953

#SPJ11

in a piston which arrange the pressure from maximum pressure to minimum pressure

Answers

In a piston, the pressure is arranged from maximum pressure to minimum pressure in the following way:

Maximum pressure is at the top of the piston or the end that is opposite to the connecting rod, while minimum pressure is at the bottom of the end that is attached to the connecting rod. When the fuel-air mixture is ignited in the combustion chamber, it produces high-pressure gases that push the piston towards the connecting rod. This pressure decreases as the piston moves downwards, until it reaches the bottom of its stroke, where the pressure is at its lowest. The process then repeats itself as the piston moves back up towards the top of the cylinder. This movement is known as the piston's stroke. The pressure in the cylinder is controlled by various factors, including the size and shape of the combustion chamber, the fuel-air mixture ratio, and the timing of the ignition.

Learn more about piston here:

https://brainly.com/question/28044328

#SPJ4

which bulbs will be lit when the circuit below is connected?

Answers

Can you attach a picture to this so I can awnser the question :)

Two astronauts, one of mass 65 kg and the other 90 kg , are initially at rest together in outer space. They then push each other apart.
How far apart are they when the lighter astronaut has moved 13 m ?

Answers

They will be approximately 8.45 meters apart when the lighter astronaut has moved 13 meters.

Our task is to determine the distance between them when the lighter astronaut has moved 13 m. Let's calculate the distance using conservation of momentum. Let the initial mass of the system be M = 65 kg + 90 kg = 155 kg.

As the system is isolated, the total momentum is conserved before and after the separation of the two astronauts.  When the astronauts push each other away from each other, the momentum of the lighter astronaut is given by:

mv1= m1(v1)' + m2(v2)'

Where,  v1' and v2' are the velocities of the astronauts after the separation. Here, we know that the astronauts were initially at rest.

Hence the momentum is zero. We can say that the momenta before and after the separation of the astronauts are equal. Therefore, we can write:

mv1 = m1(v1)' + m2(v2)'0 = (65 kg) (0 m/s) + (90 kg) (v2)'v2' = 0 m/s

So the velocity of the heavier astronaut is 0 m/s. Hence, the lighter astronaut gains a velocity, v1'.Now using the conservation of energy to find the velocity of the lighter astronaut. The potential energy stored in the system due to their position when they are together gets converted into kinetic energy when they are pushed apart. Therefore,

mgh = 1/2 mv1'2

where, m is the mass of the lighter astronaut, g is the acceleration due to gravity, and h is the separation distance between the two astronauts from their initial position.

Using the given values and solving the equation:

13 m × 9.81 m/s2 × 65 kg = 1/2 × 65 kg × v1'2v1' = 8.94 m/s

Now, let's use the principle of conservation of momentum to calculate the velocity of the heavier astronaut after separation.

mv1 = m1(v1)' + m2(v2)'(155 kg)(0 m/s) = (65 kg)(8.94 m/s) + (90 kg)(v2)

After solving for v2, the velocity of the heavier astronaut, we obtain:v2=−5.84 m/s

Thus, the velocity of the heavier astronaut is negative, which indicates that they are moving in opposite directions. The distance between them can be calculated as follows:

Δx = v2 × t

where, t is the time taken for the lighter astronaut to move 13 m, and it can be calculated using:

Δx = v1' × t13 m = (8.94 m/s) × t

So,t = 1.45 seconds

Therefore,Δx = v2 × tΔx = (−5.84 m/s) × (1.45 s)Δx = −8.45 m or 8.45 m (approximately)

Therefore, they will be approximately 8.45 meters apart when the lighter astronaut has moved 13 meters.

Learn more about momentum at: https://brainly.com/question/1042017

#SPJ11

Other Questions
How did the author characterize the response of the white planters? We insist punctuality in this office. (Put the correct preposition in the blank) 40. the figure below shows two connected wires made of the same material. the current entering the wire on the left is 1.0 a; the electric field in the left wire has a magnitude of e. what is the magnitude of the electric field in the wire on the right side? what coupon rate should be set for the new bonds of the bozo company for these bonds to sell at par? Marsha will deposit $5,000 into an account for 10 years. What is the interest earned for 5%? how price reaches equilibrium? give an example A game in which players take turns, observing what their rival does before having to move is called a simultaneous-move game is called a sequential-move game is modeled with a matrix is paper, rock, scissors write a story illustrateing the saying life is not a bed of roses A socially healthy person well. Social health may take some, such as becoming actively with others. a 9. BOXES Emiko will make a box without a top by cutting out corners of equal size from a 28 inch by 15 inch sheet of cardboard and folding up the sides. Which of the following is closest to the greatest possible volume of the box? A420 in^ 3 B 595i * n ^ 3; C 1260 in^ 3 D 1785i * n ^ 3 the nurse is providing education to the parents of a child with trisomy 21. the parents ask the nurse about the purpose of early intervention therapy. which response by the nurse best explains early intervention therapy? 1. the circulatory system is comprised of how many separate parts? a. 4 b. 3 c. 2 d. 1 2. which is not moved in the circulatory system? a. semen b. blood c. nutrients d. gases 3. which type of muscle is most commonly found in the heart? a. cardiac b. smooth c. connective d. skeletal 4. which type of animal has an odd number of heart chambers? a. fish b. mammals c. birds d. reptiles 5. which part of the heart has deoxygenated blood? a. left ventricle b. pulmonary veins c. pulmonary arteries d. aorta 6. auscultation can be used to hear sounds from which of the following? a. bladder b. intestines c. kidney d. ovary 7. capillaries allow for all of the following except? a. pumping of blood b. exchange of gasses c. exchange of nutrients d. removal of wastes 8. which do not have valves to prevent the backflow of blood? a. arterioles b. venules c. heart d. veins 9. how is blood pressure most commonly reported? a. systolic only b. diastolic only c. diastolic/systolic d. systolic/diastolic 10. in a human, what artery is typically used to obtain a blood pressure? a. femoral b. renal c. brachiocephalic d. iliac 11. the universal recipient can accept blood from any other blood type. which type of blood is considered the universal recipient? a. ab b. ab- c. o d. o- 12. what causes blood to be positive or negative? a. blood type b. rhesus factor c. level of iron in the blood d. level of ions in the blood 13. which blood type has no antibodies in the blood plasma? a. ab b. a c. b d. o 14. which is not a blood cell? a. erythrocyte b. leukocyte c. platelet d. plasma 15. which other blood types can accept ab blood from a donor? a. a b. b c. only ab d. o- 16. which is not a type of white blood cell? a. erythrocyte b. basophil c. lymphocyte d. eosinophil 17. place the white blood cell types in order from greatest quantity in the blood to least quantity: a. monocyte, neutrophil, lymphocyte, eosinophil, basophil b. neutrophil, lymphocyte, monocyte, eosinophil, basophil c. monocyte, lymphocyte, neutrophil, eosinophil what are convection currents? 3. Under what circumstances should an employee try to put out a fire? (1 point)O There are patients in immediate dangerSomeone has already sounded the fire alarmO The employee is unsure of the type of fire it isO The fire is contained and the employee is safe Which statements describe how women in the ruling class lived in the Ottoman Empire? Choose four correctanswers.They could go to court to handle legal matters.They were discouraged from going out in public.They had no legal rights in the empire.They lived in separate quarters for women, called harems.They were allowed to own property and businesses.They had the freedom to go wherever they pleased. absolute value negative 4 A customer at an electronics store opened a store credit card to purchase a computer for $1,800. The store put the entire purchase on the credit card with an APR of 17.99%. The customer pays $125 per month until the balance is paid off. Determine the total amount of interest paid.A spreadsheet was used to calculate the corect answer. Your answer may vary slightly depending on the technology used.A. $188.09B. $295.01C. $243.11D. $182.45 a 6.00 gg bullet is fired horizontally into a 1.20 kgkg wooden block resting on a horizontal surface. the coefficient of kinetic friction between block and surface is 0.200. the bullet remains embedded in the block, which is observed to slide 0.200 mm along the surface before stopping. (a) What was teh initial speed of the bullet?(b) What kind of collision took place between the bullet and the block? Explain your answer comparing the values of the kinetic energy before and after the collision.(c) Calculate the impulse of the block from the moment just after the impact to his final position. Analyze the result. help me. what does pie mean? As shown in the picture What is the solution to this system?