When we took a deep breath on a cold day, we will bring in 2.0 L of -10 ∘C air at a pressure of 1.0 atm. The air's change in entropy is approximately 8.01 J/K.
Using the formula for change of entropy for an ideal gas
ΔS = Cᵥ ln(T₂/T₁) + R ln(V₂/V₁)
Where Cᵥ is the molar heat capacity at constant volume, R is the gas constant, T₁ and T₂ are the initial and final temperatures, and V₁ and V₂ are the initial and final volumes.
To find the air's final volume. To do this, we can use the ideal gas law
PV = nRT
here P for pressure, V for volume, n for number of moles of gas, R for gas constant, and T for temperature.
We know that the initial pressure is 1.0 atm, the initial volume is 2.0 L, and the initial temperature is -10 ∘C (which is 263 K). We can solve for n
n = PV/RT = (1.0 atm)(2.0 L)/(0.0821 L⋅atm/(mol⋅K))(263 K) = 0.097 mol
Now we can find the final volume using the same equation with the final temperature of 37 ∘C (which is 310 K)
V₂ = nRT/P = (0.097 mol)(0.0821 L⋅atm/(mol⋅K))(310 K)/(1.0 atm) = 2.42 L
Now we can plug in all the values into the formula for ΔS
ΔS = Cᵥ ln(T₂/T₁) + R ln(V₂/V₁)
We know that for an ideal gas, Cᵥ = (3/2)R, so
ΔS = (3/2)R ln(T₂/T₁) + R ln(V₂/V₁)
ΔS = (3/2)(8.31 J/(mol⋅K)) ln(310 K/263 K) + (8.31 J/(mol⋅K)) ln(2.42 L/2.0 L)
ΔS = 8.01 J/K
Therefore, the air's change in entropy is approximately 8.01 J/K.
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Which of the following is a property of a transverse wave?
A. It needs a medium to travel.
B. It travels up and down.
C. They are visible to the nake eye.
D. It travels by compressing particles.
The correct answer is option B. It travels up and down. Transverse waves are characterized by the fact that they cause particles in the medium to move perpendicular to the direction of wave propagation.
What are transverse waves?Transverse waves are a type of wave that causes the particles of the medium to move up and down or side to side as the wave passes through them.
The other options are not right because:
Option A: It describes a property of a longitudinal wave, not a transverse wave. Longitudinal waves do need a medium to travel, whereas transverse waves can travel through a vacuum, such as light waves.Option C: It is not necessarily true that transverse waves are visible to the unaided eye. Some transverse waves, such as light waves, are visible, but others, such as radio waves, are not.Option D: It describes a property of a longitudinal wave, not a transverse wave. Longitudinal waves travel by compressing particles, whereas transverse waves travel by perpendicular vibrations.Learn more about transverse waves here:
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this is a 3 part question6) (a) Your heart beats with a frequency of 1.45 Hz. How many beats occur in a minute? (b) If the frequency of your heartbeat increases, will the number of beats in a minute increase, decrease, or stay the same? (c) How many beats occur in a minute if the frequency increases to 1.55 Hz?
Given,
The initial frequency of the heartbeat, f₁=1.45 Hz
The increased heartbeat, f₂=1.55 Hz
The frequency of the heartbeat can be described as the number of occurence of the heartbeat per second. That is every second, the heart beats 1.45 times.
(a)
Thus for a minute, the number of the heartbeats is,
\(\begin{gathered} N_1=f_1\times60 \\ =1.45\times60=87 \end{gathered}\)Thus 87 beats occur for a minute.
(b)The increase in the frequency of the heartbeat implies the increase in the number of the heartbeat for every second. And hence the beats in a minute increase when the frequency of the heartbeat increases.
(c)
The number of the beats per minute after the increase of the frequency is,
\(\begin{gathered} N_2=f_2\times60 \\ =1.55\times60 \\ =93 \end{gathered}\)Thus after the increase in the frequency, 93 beats occur in a minute.
An electric iron is Marg 20 words 500 w the units consumed by it in using it for 24 hours will be
The electric iron with a power rating of 500 watts will consume 12 kilowatt-hours (kWh) of electricity when used continuously for 24 hours.
To calculate the units consumed, we need to consider the power rating and the duration of usage. The power rating of the electric iron is given as 500 watts, which is equivalent to 0.5 kilowatts (kW). By multiplying the power rating by the time used (24 hours), we obtain the total energy consumed, which is 12 kilowatt-hours (kWh). This value represents the units of electricity consumed by the electric iron during the 24-hour period.
Therefore, the electric iron will consume 12 kilowatt-hours (kWh) of electricity when used for 24 hours continuously with a power rating of 500 watts.
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What is the momentum of a toy car with a
mass of 100 g moving at 0.5 m/s?
Enter your answer as a
number
kg m/s
40%
The momentum of a toy car with a mass of 100 g moving at 0.5 m / s is 0.05 kg m / s
p = m v
p = Momentum
m = Mass
v = Velocity
v = 0.5 m / s
m = 100 g
m = 0.1 kg
p = m v
p = 0.1 * 0.5
p = 0.05 kg m / s
Therefore, the momentum of a toy car is 0.05 kg m / s
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If the same pressure is exerted over a greater area will more of less force result?
more force
less force
the same amount of force
Answer:
less force
Explanation:
less force because they is increase in area and not enough energy to balance the whole equation
Answer:
the same
Explanation:
If the same force is applied to an object with a small mass,it will have a blank accelertaion
If the same force is applied to an object with a small mass, it will experience a greater acceleration due to less inertia and the ease with which it can be accelerated. In contrast, an object with a larger mass will require more force to achieve the same acceleration.
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Mathematically, we can express this relationship as:
acceleration = force / mass
Therefore, if the same force is applied to an object with a small mass, it will experience a greater acceleration compared to an object with a larger mass. This is because the smaller mass results in less inertia, meaning it requires less force to cause a given acceleration. In other words, a smaller mass will accelerate more easily when the same force is applied to it. For example, if you apply the same force to a baseball and a bowling ball, the baseball will accelerate much more quickly because it has a smaller mass than the bowling ball. Conversely, if you apply the same force to a truck and a car, the car will accelerate more quickly because it has a smaller mass than the truck.
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summary of the mankind mutation
Mutations occur in the genetic material due to alterations in the sequence of nucleic acids of the genome. Mutations are harmful as they lead to many disorders and conditions which are life-threatening.
What are Mutations?A mutation can be defined as an alteration in the sequence of nucleic acids of the genome of a living organism, virus, or the extrachromosomal DNA material such as the mitochondrial DNA or the chloroplast DNA. Viral genomes are different from that of other living organisms as they contain either DNA or RNA as genetic material.
The guanine-thymine (G-T) mutation is the single most common mutation which occurs in the DNA of human. This mutation occurs about once in every 10,000 to 100,000 base pairs in the DNA.
Mutations are of different types. From which, the deletion mutations are opposite types of point mutations. These mutations involve the removal of a base pair from the sequence. Both of these mutations lead to the creation of one of the most dangerous type of point mutations which is known as the frameshift mutation.
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though its economics question can anybody help me
if the length and diameter of a wire of circular cross section are both tripled, the resistance will be
a. tripled. b. unchanged. c. increased by a factor of 9. d. 1/3 of what it originally was
Since both the length and radius have been tripled; therefore the resistance is reduced to 1/3 of its original value The correct option is (d) 1/3 of what it originally was.
Explanation: The resistance of a wire is inversely proportional to its cross-sectional area A and directly proportional to its length L. Hence, the resistance R can be written as; R = ρL/A
Where, ρ is the resistivity of the material of the wire.From the given problem, the length and diameter of a wire of circular cross-section are both tripled. Therefore, the area will increase by a factor of 9.A=πr²If diameter is tripled, the radius is also tripled.r' = r x 3
When the radius is tripled, the area becomes: A' = π (3r)² = π 9r²So the new area will be 9 times the original area, which implies that the resistance will be 1/9 times the original resistance. Since both the length and radius have been tripled; therefore the resistance is reduced to 1/3 of its original value. Hence the correct option is (d) 1/3 of what it originally was.
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A 50 kg mass is sitting on a frictionless surface. an unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s.
a) what is the initial momentum of the mass?
b) what is the final momentum of the mass?
c) what was the force acting on the mass?
d) what was the impulse acting on the mass?
Answer:
Initial momentum: \(0\; {\rm kg \cdot m \cdot s^{-1}}\).
Final momentum: \(150\; {\rm kg \cdot m\cdot s^{-1}}\).
Force on the mass (assuming that the force is constant): \(75\; {\rm N}\).
Impulse on the mass: \(150\; {\rm kg \cdot m \cdot s^{-1}}\).
Explanation:
The momentum \(p\) of an object is equal to the product of mass \(m\) and velocity (a vector) \(v\).
The initial momentum of this mass was \(0\; {\rm kg \cdot m \cdot s^{-1}}\) since the velocity of this object was initially \(0\; {\rm m\cdot s^{-1}}\).
At \(v = 3\; {\rm m\cdot s^{-1}}\), the momentum of this mass (\(m = 50\; {\rm kg}\)) would be:
\(\begin{aligned}p &= m\, v \\ &= 50\; {\rm kg} \times 3\; {\rm m\cdot s^{-1}} \\ &= 150\; {\rm kg \cdot m \cdot s^{-1}}\end{aligned}\).
Assume that the external force \(F\) on this mass is constant. By Newton's Second Law of motion, the external force on this mass would be equal to the rate of change in the momentum of this mass.
Since the momentum of this mass increased by \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\) in \(\Delta t = 2\; {\rm s}\), the external force on this mass would be:
\(\begin{aligned}F &= \frac{\Delta v}{\Delta t} \\ &= \frac{150\; {\rm kg \cdot m \cdot s^{-1}}}{2\; {\rm s}} \\ &= 75\; {\rm kg \cdot m \cdot s^{-2}} \\ &= 75\; {\rm N}\end{aligned}\).
The impulse of an external force on an object is equal to the change in the momentum of that object. Since the change in momentum of this mass was \(\Delta v = 150\; {\rm kg \cdot m \cdot s^{-1}}\), the corresponding impulse would also be \(150\; {\rm kg \cdot m\cdot s^{-1}}\):
\(\begin{aligned}J &= \Delta v \\ &= 150\; {\rm kg \cdot m\cdot s^{-1}} \\ &= 150\; {\rm N \cdot s}\end{aligned}\).
A "biconvex" lens is one in which both surfaces of the lens bulge outwards. Suppose you had a biconvex lens with radii of curvature with magnitudes of |R1| = 10 cm and |R2| = 15 cm. The lens is made of glass with index of refraction Nglass = 1.5. We will employ the convention that R1 refers to the radius of curvature of the surface through which light will enter the lens, and R2 refers to the radius of curvature of the surface from which light will exit the lens.
A biconvex lens with radii of curvature |R1| = 10 cm and |R2| = 15 cm made of glass with index of refraction Nglass = 1.5 can be analyzed to determine its focal length and other properties.
A biconvex lens is a type of lens that is thicker in the center than at the edges and has both surfaces outwards. The radius of curvature of each surface of the lens determines its optical properties. The lens with radius of curvature |R1| = 10 cm and |R2| = 15 cm made of glass with index of refraction Nglass = 1.5 can be analyzed to determine its focal length and other properties.
The focal length of the lens can be calculated using the lensmaker's equation, which relates the focal length (f) of the lens to the radii of curvature of the two surfaces (R1 and R2) and the refractive index of the lens material (Nglass). Using this equation, the focal length of the lens can be calculated to be f = 6.0 cm. This means that parallel rays of light entering the lens will converge at a point 6.0 cm away from the lens on the opposite side.
Other properties of the lens, such as its magnification and image distance, can also be calculated using the thin lens formula and the magnification formula. The thin lens formula relates the object distance, image distance, and focal length (f) of a thin lens.
The magnification formula relates the size of the object, size of the image, and magnification (M) of the lens. Using these formulas and the known values for the lens, the image distance and magnification can be calculated for objects placed at different distances from the lens.
These calculations can be used to determine the behavior of light passing through the lens and to design optical systems that use the lens for specific purposes.
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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Two point masses m and M are separated by a distance d. If the separation d remains fixed and the masses are increased to the values 3m and 3M respectively, how does the gravitational force between them change?
The gravitational attraction between two particles was equal to the sum of their individual masses times two. The gravitational influence between them will increase by a factor of three one of the objects triples in mass.
What does gravity between two particles look like?The attractive gravitational attraction that exists between two particles can be calculated using Newton's Law on Universal Gravitation. The gravitational attraction between these two particles will decrease as they move apart opposite directions since it inversely depend on particle distance.
Do two items have the same gravitational attraction on them?Since the gravitational force is inversely proportional to the mass of the two interacting objects, heavier items will be drawn by stronger gravitational forces. Therefore, when two things' respective masses increase, so does their gravitational pull to one another.
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A train travels a 400-km route and makes five stops in seven hours. Which equation is used to calculate the train’s average speed?
A.
Average speed = Sum of instantaneous speeds
B.
Average speed = Total distance x Total time
C.
Average speed = Total distance + Total time
D.
Average speed = Total distance ÷ Total time
What types of energy transformations take place when a balloon lights a light bulb?
Please help, I need this by today 3/7/21
Answer: INCREASE THE IMPACT TIME
crumple zones help transfer some of the cars kinetic energy into controlled deformation, or crumpling, at impact
what is physical properties of matter
Answer:
A quality of matter that is unrelated to a change in its chemical makeup is called a physical property.
Examples of physical properties of matter:
DensityColorHardnessMelting PointBoiling PointElectrical ConductivityPhysical properties are any qualities of matter that may be felt or seen without changing the sample's chemical composition.
Due to the wide range of features that make up physical attributes, they are further separated into intensive and extensive as well as isotropic and anisotropic categories.
Any characteristic that can be recognized and measured by sight, hearing, touch, smell, or other senses without evoking a chemical reaction is referred to as a physical property. Examples of physical traits are:
Color, Shape, Volume, Density, Calorific value, Boiling point, Viscosity, Pressure, Solubility, electrical current
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A cyclist speeds up from 3 m/s to 7 m/s in 8 seconds.
What is its change in velocity?
What's its acceleration?
Answer:
Change in velocity = 4 m/s and acceleration = 0.5 m/s²
Explanation:
Given that,
Initial velocity, u = 3 m/s
Final velocity, v = 7 m/s
Time, t = 8 seconds
(a) The change in velocity of a cyclist.
\(\Delta v=v-u\\\\=7\ m/s-3\ m/s\\\\=4\ m/s\)
(b) Acceleration,
\(a=\dfrac{\Delta v}{t}\\\\a=\dfrac{4\ m/s}{8\ s}\\\\a=0.5\ m/s^2\)
So, the change in velocity is 4 m/s and acceleration is 0.5 m/s².
What are some examples of X-Ray waves
Answer:
X - Rays
Explanation:
Hope it Helps!
:)
Answer: Black holes, sun, stars, neutron stars
Explanation:
Define Laws of motion
Answer:
Explanation:
NEWTON'S FIRST LAW OF MOTION:
a body continues its state of rest or of uniform motion in a straight line provided no net force acts on it. Fnet=0
NEWTON'S SECOND LAW OF MOTION:
when a net force acts on a body it produces acceleration in the body which is directly proportional to the magnitude of the net force and inversely to the mass of the body.F=ma
NEWTON'S THIRD LAW OF MOTION:
to every action there is always an equal but opposite reaction.
Answer:
Newton's laws of motion are three physical laws that, together, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces.Newton’s laws of motion can be summarized as follows:
An object will remain at rest, or in a uniform, straight-line motion if moving, unless an external force acts upon it.
Force equals change in momentum per change in time. For an object with constant mass, force equals mass times acceleration.
For every action, there is an equal and opposite reaction.
In Depth:
Newton’s First Law: InertiaA rock resting on level ground won’t suddenly start moving unless you push it. This is Newton’s first law, which introduces the principle of inertia. Inertia tells us that objects at rest stay at rest, and objects in motion stay in motion at a constant velocity (speed in one direction). When a force acts on the object, it changes its behavior.
For example, when you push the rock along the ground, you apply an external force that causes the rock to break out of inertia and begin moving. When you throw the rock through the air, the force of gravity acts upon it and slows it down, pulling it back to earth. If you threw that rock in outer space with no external force of gravity acting upon it, the flying rock would travel indefinitely forward at constant velocity because of inertia.
Newton’s Second Law: Changes in MotionForce (F) equals mass (m) times acceleration (a). An object’s mass is the amount of matter it contains. An object’s acceleration is its change in velocity—whether the object is speeding up or slowing down as it moves.
If this seems complicated, just think about how everyday objects react to force. It’s easier to push a soccer ball a certain distance than it is to push a car that same distance. That’s because the soccer ball has much less mass than the car, so it requires less force to create the same amount of acceleration.
Newton’s Third Law: Action and ReactionA rocket has to fire its engines forcefully to overcome gravity and propel itself into outer space. The force of gas propelling downwards creates a reaction that pushes the rocket in the opposite direction with equal force. This is Newton’s third law: every action has an equal and opposite reaction.
As a result of Newton’s third law, all forces come in pairs. When you push against solid ground with your foot, the ground doesn’t fly off —it pushes back against you. This law helps us understand how objects with different forces interact.
What do we call the Earth's magnetic field that extends outward from Earth in all
directions?
Answer:
Geomagnetic Field
Explanation:
11. A tennis ball is thrown straight up in the air, leaving the person's hand with an initial velocity of 3.0 m/s, as shown to the right. What is the displacement of the ball above the person's hand?
Answer:
0.46m
Explanation:
ILL MARK BRAINLIEST
PLEASE HELP
2.Write the formula associating energy with power
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
Explanation:
Sub to Beast_Building on yt
7
What was the dependant variable? * is it 1,2 or 3?
(1 Point)
1. Type and weight of the block
2. increase in energy transferred
3. Thermometer used
Answer:
Increase is energy transferred
Explanation:
Increase in energy or ∆E depends upon the mass or type of the blockIt also depends upon the surface area etc The thermometer used is useless in this case .Option B is correct
Which wave contains the lowest energy?
Wave # Frequency Wavelength
Wave 1 6.66 × 1014 Hz 450 nm
Wave 2 5.77 × 1014 Hz 520 nm
Wave 3 4.61 × 1014 Hz 650 nm
Wave 4 4.28 × 1014 Hz 700 nm
Wavelength affects a wave's energy; the longer its wavelengths, the lesser the energy. Gamma rays therefore have the maximum energy and long radio waves the lowest in the electromagnetic spectrum.
What wave travel is the smallest?The slowest seismic waves are surface waves. They move at a speed of 1.5 miles per second, or 2.5 km. Surface waves come in two different varieties. Love waves slither from side to side like a snake.
Which wave possesses the greatest energy?Low-energy photons make up radio waves; microwave photons contain a little more energy as radio waves; infrared photons have much more energy; and the most energetic photons of them are gamma rays.
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Please help !!
Which of the following statements regarding orbits is true?
A. A satellite moves in an elliptical orbit with the central body at one
focus
B. The Sun and a planet are at the two foci of an orbit.
c. In an orbit, the satellite and the central body are the two foci of the
ellipse.
D. In an elliptical orbit, there is one focus and the satellite is located
there.
The true statement about an orbit is that the sun and a planet are at the two foci of an orbit. Hence, option B is correct.
What is an orbit?An orbit is a curved path taken by an object in celestial mechanics, such as the path taken by a planet around a star, a natural satellite around a planet, or an artificial satellite around an object or location in space, such as a planet, moon, asteroid, or Lagrange point.
Ordinarily, the term "orbit" refers to a trajectory that repeats itself periodically, though it can also apply to a non-repeating trajectory. Kepler's principles of planetary motion roughly predict that planets and satellites have elliptic orbits, with the center of mass orbiting at a focal point of the ellipse.
Hence, this concludes that option B is correct.
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charges move through the circuit from one plate to the other until both plates areuncharged.
The movement of charges from one plate to the other in a capacitor is a fundamental process that underlies many electronic devices and applications.
When a capacitor is connected to a circuit, charges begin to flow from one plate to the other until both plates reach the same potential and the capacitor becomes fully charged.
This process involves the movement of electrons, which are negatively charged particles, from one plate to the other.
Initially, the capacitor is uncharged, and the plates have an equal number of positive and negative charges.
When a voltage is applied to the capacitor, electrons begin to flow from the negative plate to the positive plate, creating an electric field between the two plates. This electric field stores energy in the capacitor, which can be released later when the capacitor is discharged.
If the voltage across the capacitor is removed, the capacitor will retain its charge and will discharge slowly over time as the electrons flow back from the negative plate to the positive plate.
This discharge process can be used in various applications, such as in flash photography, where a capacitor is charged rapidly and then discharged quickly to produce a bright flash of light.
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A light beam with a 70° angle of incidence travels through a medium with an index of refraction of 1.8. The light enters a second medium and has an angle of refraction of 37°. What is the index of refraction of the second medium?
Answer:
Explanation:
For refraction , the formula is
sin i / sin r = μ₂ / μ₁
where light is travelling from medium 1 to 2 having refractive index of μ₁ and μ₂ . Angle of incidence in medium 1 is i and angle of refraction in medium 2 is r .
Here i = 70°, r = 37°
μ₁ = 1.8 ,μ₂ = ?
sin70 / sin 37 = μ₂ / 1.8
.939 / .602 = μ₂ / 1.8
1.56 = μ₂ / 1.8
μ₂ = 2.81 .
The value of refraction index for the second medium will be \(\mu_2=2.16\)
What will be the refractive index?Every material has a different refractive index. The refracted index of any material shows that the light is refracted by how much angle.
So like for water its value will be different also for glass its value will be different.
Now it is given in the question that
Angle of incidence \(i=70^o\)
Refractive index of the first medium \(\mu_1=1.8\)
Angle of refraction \(r=37^o\)
Now from snells law
\(\dfrac{Sin \ i}{Sin \ r} = \dfrac{\mu_2}{\mu_1}\)
\(\dfrac{Sin70}{Sin37} = \dfrac{\mu_2}{1.8}\)
\(\mu_2= \dfrac{Sin70\times1.8}{Sin37}\)
\(\mu_2=2.16\)
Thus the value of the refraction index for the second medium will be \(\mu_2=2.16\)
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Which technology addresses a practical problem with sharing information
The technology that addresses a practical problem with sharing information is wireless device.
What is technology?Technology is simply the application and organization of knowledge for practical purposes.
Technology has proven to make work more efficient and there is no overemphasis of its role in communication sector.
A wireless device is a technological device relating to communication without a wired connection, such as by radio waves.
Therefore, it can be said that the technology that addresses a practical problem with sharing information is wireless device.
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Sabiendo que la masa de Marte es de 6,42 · 1023 kg y que su diámetro medio es de 6794 km, calcula el valor de la aceleración de la gravedad sobre la superficie del planeta. Datos: Constante de gravitación universal = 6,67 · 10–11 Nm2/kg2.
Answer:
La aceleración de la gravedad sobre la superficie del planeta es 3,71 m/s².
Explanation:
Podemos encontrar la aceleración de la gravedad de Marte usando la siguiente ecuación:
\( F = \frac{GmM}{r^{2}} = ma \)
En donde:
G: es la constante gravitacional = 6,67x10⁻¹¹ Nm²/kg²
m: es la masa del cuerpo que está sobre la supericie del planeta
M: es la masa de Marte = 6,42x10²³ kg
r: es la distancia del centro del planeta a la superfice = d/2
a: es la aceleración de la gravedad =?
Entonces, la aceleración de la gravedad es:
\( a = \frac{GM}{r^{2}} = \frac{6,67\cdot 10^{-11} Nm^{2}kg^{-2}*6,42 \cdot 10^{23} kg}{(3,397 \cdot 10^{6} m)^{2}} = 3,71 m/s^{2} \)
Por lo tanto, la aceleración de la gravedad sobre la superficie del planeta es 3,71 m/s².
Espero que te sea de utilidad!