a lens has a refractive power of -1.50. what is its focal length?

Answers

Answer 1

It has been determined that the focal length of the lens is -0.6667 m.

Given: The refractive power of a lens is -1.50We are supposed to find the focal length of the given lens

Solution:The formula to find the focal length of a lens is given by:1/f = (n-1) (1/R1 - 1/R2)

Given: Refractive power (P) = -1.50

As we know that, P = 1/f (Where f is the focal length)

Hence, -1.50 = 1/fOr, f = -1/1.5= -0.6667 m

Therefore, the focal length of the given lens is -0.6667 m.

From the above calculations, it has been determined that the focal length of the lens is -0.6667 m.

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Related Questions

FLUID CLUTCHES ARE USED ON EQUIPMENT THAT IS SUBJECT TO
a. SHOCKING LEADING
B. MISALIGNMENT
C. FREQUENT STOPPING
D. CONTINUOUS RUNNING

Answers

Fluid clutches are used on equipment that is subject to frequent stopping.

Fluid couplings are used in various equipment in which the rotational torque must be transferred smoothly and without shock from the motor to the driven machine.

They are characterized by high transmittable torque and power, quick response times, and a good damping effect.

It absorbs and smooths torsional vibrations from the driveshaft, resulting in a longer lifespan of the drive components.

Equipment that is subject to frequent stopping.

For equipment that is subject to frequent stopping, fluid clutches are commonly used.

This is due to the fact that fluid clutches may be started and stopped frequently without causing harm or wear to the machine.

For this reason, fluid clutches are commonly used in machinery that needs a smooth start and stop, which is important to avoid any harm to the machinery.

In addition, fluid clutches are also less likely to slip, making them ideal for continuous running machines.

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Fluid clutches are used on equipment that is subject to frequent stopping. The correct answer is option C.

A fluid clutch is a type of mechanical device that transmits torque and rotational power from one shaft to another via a fluid.

Fluid clutches are used to couple two rotating shafts and control the amount of torque transferred between them.

Fluid clutches are used in many types of industrial machinery, including printing presses, machine tools, and pumps, as well as in cars and other vehicles.

These clutches can handle higher torque and power loads than most other types of clutches, making them well suited for heavy-duty applications.  

They are most commonly used on equipment that is subject to frequent stopping, such as industrial machines and vehicles, but can also be used on equipment that is subject to other forms of stress, such as misalignment and continuous running. So, the correct answer is option C.

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A spring launches a 7kg box on the floor with
force of 50 N. what is the
box's
a net
acceleration?

Answers

The magnitude of acceleration of the box be 7.14 m/s².

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the box be: m = 7 kg.

Force applied on it: F = 50 N.

From Newton's second law of motion, we can write:

force = mass × acceleration

acceleration = force/mass = 50/7 m/s² = 7.14 m/s².

Hence, acceleration of the box be 7.14 m/s².

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(6) Different colors of light correspond to different: frequencies (I) intensities (I) wavelengths (A) |only (B) Il only (C) Ill only (D) !and IlI (E) all of the above

Answers

They are red, orange, yellow, green, blue, indigo, and violet, in descending order of frequency. They are arranged in reverse order by wavelength because of the inverse relationship. Violet is the hue that occurs most frequently.

What do the various light colors represent?

The wavelength of visible light affects its color. These wavelengths span the spectrum, from 700 nm at the red end to 400 nm at the violet.

Do different wavelengths of light correspond to different colors?

VISIBLE LIGHT WAVELENGTHS When the entire visible light spectrum passes through a prism, the wavelengths divide into the rainbow's hues because each color has a unique wavelength.

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a sample of octane burns releasing 2290 j of heat to the surroundings, and the gases produced expands against a piston to do 560 joules of work. calculate the internal energy change for this reaction.

Answers

Therefore, this reaction's internal energy change is -2850 J. This indicates a loss of 2850 J in the system's internal energy.

What is a energy in science?

The definition defined energy as that of the "power to accomplish work" refers to the capacity to apply a force that moves an object. Kinetic energy and potential energy are the two categories of energy. The quantitative characteristic that is transferred to the a body or into a physical process in physics is energy, which is visible in the performance of labor as well as in form of heat and light. Energy is a resource that is conserved; it can only be changed through one form to another and it cannot be produced or destroyed, according to the law of conservation of energy.

What is the formula of energy and who defined energy?

According to the formula E = mc2, a body's mass (m) will vary by an amount equal to E/c2 if its energy increases by an amount E (in any form). This equation was developed by Albert Einstein.

Thomas Young coined the term "energy" for the first time in the realm of physics in 1800, but it didn't catch on. Later, Young utilized interference tests to demonstrate that light is indeed a wave.

The equation: can be used to determine the internal energy change for a reaction.

ΔU = Q - W

where U represents the change in internal energy, Q represents heat added to or released from the system, and W represents work performed by or on the system.

Since it is being released into the environment, the heat contributed to the system in this instance is -2290 J, and the work performed by the system is 560 J. Consequently, the internal energy change can be determined as follows:

ΔU = Q - W

ΔU = -2290 J - 560 J

ΔU = -2850 J

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anyone know the answer?

anyone know the answer?

Answers

Answer:

Elasticity

Elasticity is the ability of rubber, for example to return to it's natural shape after being bent and forced in different directions.

Answer:

Elasticity

Explanation:

just gooooooooogle search it

element X has two isotopes: X-27 and x-29. x-27 has an atomic mass of 26.975 and a relative abundance of 82.33%, and X-29 has an atomic mass of 29.018 and a relative abundance of 17.67%. calculate the atomic mass of element X. show your work

Answers

Answer:

27.34 (no unit)

Explanation:

26.975*82.33%+29.018*17.67%

=27.34

through a piece of copper wire 20 cm long and with a cross-sectional area of ​​\u200b\u200b0.6 mm ^ 2 a charge of 4 cells is passed in 0.1 s. determine the voltage at the ends of the wire

Answers

The voltage across the wire is 1332 V.

What is voltage ?

Voltage is a measure of electrical potential difference between two points in a circuit. It is a measure of the amount of electrical energy available to do work. Voltage is measured in volts (V). The voltage between two points is the difference in electrical potential between those two points. Voltage is the force pushing electrons through a circuit and is responsible for the current that flows in a circuit. The higher the voltage, the greater the current. Voltage is created when charge is stored in a capacitor or a battery.

The voltage across the wire is determined by Ohm's law, In this case, the resistance of the wire is given by R = L/A, where L is the length of the wire (20 cm) and A is the cross-sectional area of the wire (0.6 mm^2). Therefore, the resistance of the wire is 33.3 Ω.

The current is given by I = Q/t, where Q is the charge (4 cells) and t is the time (0.1 s). Therefore, the current is 40 A.

Using Ohm's law, we can calculate the voltage across the wire: V = IR = (40 A)(33.3 Ω) = 1332 V.

Therefore, the voltage across the wire is 1332 V.

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Because sound waves vibrate longitudinally, what can result?

A Disruptions of fixed waves

B. Changes in the density of air

С. Pressure differences where compressions are rarefied

D Regions of high pressure and low pressure



I NEED HELP ASAPPP!!!!!!!! someone help me!!! :(​

Answers

air molecules are moving in a direction that is parallel to the direction that the wave moves(longitudinal wave which you know). The result of such longitudinal vibrations is the creation of compressions and rarefactions within the air

So I believe it is C
The answer is c . Pressure differences where compressions are rarefied

What natural disaster presents the greatest threat to Western Central Europe?

volcanoes
flooding
Tsunamis
earthquakes

Answers

I believe it’s the second one, flooding.

Answer:

flooding

Explanation:

2. At 6:00 AM a hopital ued it cyclotron to make 1 milligram of the iotope fluorine-18 for ue a a diagnotic tool with it PET canner. The half-life of F-18 i 1. 8 hour. How much F-18 i left at 3:00 PM? At midnight? Should the hopital plan to make more F-18 the next morning?

Answers

Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.

At 3:00 PM (9 hours after the F-18 was made), the hospital will have

= 1/2^(9/1.8)

= 1/2^5

= 1/32

= approximately 0.03125 milligrams of F-18 remaining.

At midnight (18 hours after the F-18 was made), the hospital will have

= 1/2^(18/1.8)

= 1/2^10

= 1/1024

= approximately 0.0009765625 milligrams of F-18 remaining.

While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

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Calculate the pressure in pascals if a 200N force is applied to an area of 0.5m2.

Answers

Answer:

400Pa

Explanation:

use pressure = force/area

Pressure=200NArea=0.5m^2

\(\\ \rm\longmapsto Pressure=\dfrac{Force}{Area}\)

\(\\ \rm\longmapsto Force=Pressure(Area)\)

\(\\ \rm\longmapsto Force=200(0.5)\)

\(\\ \rm\longmapsto Force=100N\)

I'll mark brainless pictures down below​

I'll mark brainless pictures down below

Answers

The net force is (40 Newtons) (down the road).

But 40 Newtons is not going to move a piano very enthusiastically.

A machine launches a tennis ball at an angle of 45° with the horizontal, as
shown. The ball has an initial vertical velocity of 9.0 meters per second and an initial
horizontal velocity of 9.0 meters per second. The ball reaches its maximum height
0.p2 second after its launch. [Neglect air resistance and assume the ball lands at the
same height above the ground from which it was launched.]
Elapsed Time
+0.92 s
Viy = 9.0 m/s
Launcher
V = 9.0 m/s
45
Horizontal
The total horizontal distance traveled by the tennis ball during the entire time it is in the air is

Answers

The motion or path of the tennis ball is the path of a projectile, which has

both vertical and horizontal motion.

The total horizontal distance traveled by the tennis ball during the entire

time it is in the air ≈ 16.514 meters.

Reasons:

The given parameters are;

The direction in which the ball is launched = 45°

The initial vertical velocity of the ball, \(v_y\) = 9.0 m/s

The initial horizontal velocity of the ball, vₓ = 9.0 m/s

The time it takes the ball to reach the maximum height, t = 0.92 seconds after its launch

The total horizontal distance traveled, by the tennis ball is given by the formula;

\(\Delta d_x = \dfrac{v_1^2 \cdot \left( 2 \cdot cos(\theta) \sin(\theta)}{y} = \dfrac{2 \times v_x \times v_y}{g}\)

Which gives;

\(\mathrm{The \ total \ distance \ travelled, \ \Delta} d_x = \dfrac{2 \times 9.0\times 9.0}{9.81} \approx 16.514\)

The total horizontal distance traveled by the tennis ≈ 16.514 meters

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If you wanted to discover the youngest stars you could find in some grouping of stars in the Galaxy, which type of star group would be the best to search?

Answers

Answer:

Associations Clusters

Explanation:

There is three basic type of clusters, globular clusters, open clusters, associations clusters. Associations cluster consist of younger stars that is younger than globular and open clusters stars.

To discover the youngest stars you could find in some grouping of stars in the Galaxy, type of star group would be the best to search is Associations Clusters.

What is galaxy?

A galaxy is a massive cluster of gas, dust, billions of stars, and their solar systems that are all bound together by gravity. Earth is a planet in our solar system where we call home.

A galaxy cluster, also known as a cluster of galaxies, is a formation made up of hundreds to thousands of galaxies that are gravitationally coupled to one another.

There is three basic type of clusters, globular clusters, open clusters, associations clusters. Associations cluster consist of younger stars that is younger than globular and open clusters stars.

To discover the youngest stars in the galaxy the best group is Associations cluster.  

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When traveling twice as fast your kinetic energy is increased _______.

Answers

When traveling twice as fast your kinetic energy is increased by four times.

Kinetic energy is the energy that can be seen as the motion of an item or a subatomic particle. It is also known as the energy of motion. Kinetic energy is a property that is shared by all moving objects and particles. To calculate the kinetic energy, we can use this following formula:

KE = ½ m × v²

Where:

M = mass of the body

V = velocity of the body

In this case, we are given that:

KE = ½ m × (2 × v)²

KE = 4 (½ × m × v²)

KE = 4 times initial KE

Therefore, the kinetic energy increases four times as the speed doubles.

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At which points in space does destructive interference occur for coherent electromagnetic waves (EM waves) with a single wavelength λ ? A. where their path length differences are 2λ B. where their path length differences are λ C. where their path length differences are even integer multiples of λ/2 D. where their path length differences are odd integer multiples of λ/2

Answers

Therefore, the correct option is D, where their path length differences are odd integer multiples of λ/2.

The correct answer to the given question is option D, where their path length differences are odd integer multiples of λ/2.In interference, two waves meet with each other, and the amplitude of the resultant wave depends on the phase difference between the two waves.

In the case of constructive interference, the phase difference between the two waves is a multiple of 2π, and in destructive interference, the phase difference is a multiple of π. For electromagnetic waves, destructive interference occurs when the path length difference between two waves is an odd integer multiple of half of the wavelength.

The expression for destructive interference can be written as follows:Δx = (2n + 1)λ/2Here, Δx represents the path length difference, n represents an integer, and λ represents the wavelength of the wave.Therefore, the correct option is D, where their path length differences are odd integer multiples of λ/2.

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A string has a mass of 13. 1 g. The string is stretched with a force of 9. 51 n, giving it a length of 1. 97 m. Then, the string vibrates transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength of the standing wave created in the string?

Answers

The wavelength of the standing wave created in the string is 31.2 cm.

The speed of the transverse wave on a string will be given by:

v = sqrt(T/μ)

where T is tension in the string and μ is linear mass density of the string (mass per unit length). We can find the linear mass density of the string by dividing the mass of the string by its length:

μ = m/ℓ

where m is mass of the string and ℓ is its length.

Substituting the given values, we get:

μ = 13.1 g / 1.97 m = 6.64 × 10⁻³ kg/m

The frequency of the fourth harmonic of the string is given by:

f = 4v/λ

where λ is wavelength of the standing wave.

We can find v by using the formula for speed and the given values of T and μ:

v = sqrt(T/μ) = sqrt(9.51 N / 6.64 × 10⁻³ kg/m)

= 70.3 m/s

Substituting the values of v and f into the formula for wavelength, we get:

λ = 4v/f = 4(70.3 m/s) / f

So we just need to find the frequency of the fourth harmonic. The frequency of the nth harmonic of a string is given by:

f_n = nv/2ℓ

where n is the harmonic number and ℓ is the length of the string. So for the fourth harmonic, we have:

f_4 = 4v/2ℓ = 2v/ℓ = 2(70.3 m/s) / 1.97 m

= 142 Hz

Substituting this value into the formula for wavelength, we get:

λ = 4(70.3 m/s) / (142 Hz)

= 31.2 cm

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The electric field 1/3 of the way from a charge q1 to a charge q2 is zero. show answer no attempt how many times larger is q2 than q1 based on the previous statement?

Answers

The charge q2 is 1/2 times smaller than q1. This implies that q1 is twice the magnitude of q2.

Given that the electric field 1/3 of the way from a charge q1 to a charge q2 is zero. We can use the concept of Electric field and potential to find the ratio of q2 and q1.

The potential at any point from a point charge is given by the formula;

V = kq/r

where,V = potentialk = Coulomb's constantq = magnitude of the point charger = distance between the point charge and the point in question

The electric field is the negative derivative of the potential.

We can obtain the expression of the electric field by differentiating the expression of the potential using the expression below:

E = -dV/dr

where, E = Electric fieldr = distance between the point charge and the point in questiondV/dr = rate of change of the potential

Thus, the electric field 1/3 of the way from a charge q1 to a charge q2 is zero.

This implies that there is no potential difference between these points.

That is, the potential at the midpoint is equal to the average potential at the endpoints.

Since the electric field is zero, we can deduce that the potential at the midpoint is also zero. This implies that the average potential at the endpoints is also zero.

Therefore, we have;

V(q1) + V(q2) / 2 = 0

Substituting the expression of potential, we obtain;

kq1/r1 + kq2/r2 / 2 = 0

Multiplying by r1r2/2, we obtain;q1r2 + q2r1 = 0

Given that the point of interest is 1/3 of the way from q1 to q2, we can deduce that;r2 = 2r1

Substituting this in the equation above;q1(2r1) + q2r1 = 0q1 + 2q2 = 0q2 = -1/2 q1.

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A 1000-kg sports car of mass accelerates from rest to 20 m/s in 6.6 s. What is the frictional force exerted by the road on the car?

Answers

Acceleration

a=v-u/ta=20-0)6.6a=20/6.6a=3.03m/s²

Now

Apply Newtons second law

F=maF=1000(3.03)F=3030N

To find frictional force we need coefficient of friction which is not given .

generally for car case the value of coefficient is 0.6-0.8 .

Putting max 0.8

f=$\mu$ Nf=0.8(3030)f=2424N

Note:

Last part is assumption not accurate

The force acting on the sports car is the product of its mass and acceleration. The force on the car is 3300 N.

What is force?

Force is an external agent acting on a body to deform it or to change it from the state of rest or motion. There are different kinds of forces such as frictional force, gravitational force, nuclear force, magnetic force etc.

Frictional force is acting as a hindrance to the motion of an object. The frictional force is the product of normal force and coefficient of friction.

According to second law of motion, force is the product of mass and acceleration.

Given mass m = 1000 Kg

change in velocity = 20 - 0 m/s

Acceleration = 20 m/s / 6.6 s

= 3.3 m/s².

Force = m a

= 3.3 m/s² × 1000 Kg

= 3300 N.

Now, product of this normal force and coefficient of static friction.

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in the 1860s, james clerk maxwell carried out important investigations on the nature of light when he

Answers

James Clerk Maxwell carried out important investigations on the nature of light in the 1860s.

In the 1860s, James Clerk Maxwell carried out important investigations on the nature of light. He studied the phenomenon of color vision and discovered that white light is composed of different colors. His studies of color vision led to the development of a new color theory called additive color theory. He also discovered that light has both wave-like and particle-like properties and proposed the idea that electromagnetic waves could exist. This led to the development of the electromagnetic theory of light, which showed that light is a form of electromagnetic radiation and is capable of traveling through space.

In conclusion, Maxwell's investigations in the 1860s greatly expanded our understanding of the nature of light and laid the groundwork for many important developments in physics and technology.

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Freud believed that. Felt inferior to. And that they were more vulnerable to psychological disorders

Answers

Answer:

women... men

Explanation:

Answer:

c. women... men

Explanation:

edge 2021

A three-phase bridge inverter used for a brushless motor outputs a square wave voltage has a 100Vdc power supply and is producing a square wave output at 60Hz. a) Determine the total rms output line-line voltage. b) Determine the rms value of the fundamental component of the line-line voltage.

Answers

a) The total rms output line-line voltage is approximately 70.71V.

b) The rms value of the fundamental component of the line-line voltage is approximately 50V.

a) The total root mean square (rms) output line-line voltage of the three-phase bridge inverter can be calculated by dividing the DC power supply voltage (100Vdc) by the square root of 2 (√2), resulting in approximately 70.71V. This represents the effective voltage level of the square wave output.

b) The rms value of the fundamental component of the line-line voltage in a square wave can be determined by dividing the total rms output voltage (70.71V) by √2, yielding approximately 50V. This value corresponds to the magnitude of the fundamental frequency component of the square wave, representing the primary voltage level of interest in the system.

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What are the Differences between ω-transaminase and normal transaminase? (Structure? way of production? Price? Storage? ETC)
Also how to produce ω-transaminase from normal transaminase? (Mutation? Immobilization?) Or way of production of ω-transaminase and normal transaminase? How to make ω-transaminase?

Answers

ω-transaminase is more selective in the synthesis of amino acid, while normal transaminase is less selective.

Transaminase is an enzyme that transfers an amine group from an amino acid to an α-keto acid, resulting in the conversion of an amino acid to a different amino acid. The ω-transaminase differs from normal transaminase in the selectivity of amino acids synthesized.ω-transaminase is a narrow-range enzyme and is often used to synthesize enantiomerically pure amino acids. Normal transaminase is less selective, synthesizing a variety of amino acids in the reaction.

Way of production of ω-transaminase and normal transaminase: The ω-transaminase and normal transaminase are often produced using genetic engineering techniques. Production methods include mutation, immobilization, or in vitro recombination.

Mutation: Genetic mutations can be introduced to generate ω-transaminase from normal transaminase.Immobilization: Both ω-transaminase and normal transaminase can be immobilized in the matrix to facilitate recovery and reuse of enzymes.

In vitro recombination: In vitro recombination can also be used to produce ω-transaminase.

ω-transaminase is more selective than normal transaminase in the synthesis of amino acids. Both enzymes can be produced through genetic engineering techniques such as mutation, immobilization, or in vitro recombination.

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(D) By symmetry V_R = V_S so âV_RS = 0 and W = qâV
Points R and S are each the same distance d from two unequal charges, +Q and +2Q, as shown above. The work required to move a charge -Q from point R to point S is
(A) dependent on the path taken from R to S
(B) directly proportional to the distance between R and S
(C) positive
(D) zero
(E) negative

Answers

The work required to move a charge -Q from point R to point S is zero. So, the correct option is D.

Electrostatic potential at a point is the work done in moving a unit positive charge from infinity to that point, against electrostatic force.

Since, the points R and S are equidistant from the charge +Q, the potential at R due to +Q will be equal to that at S due to +Q.

Also, the points R and S are equidistant from the charge +2Q. So, the potential at R due to +2Q will be equal to that at S due to +2Q.

Therefore, the potential difference between R and S is zero.

The total work required to move the charge from R to S,

W = q.V

So, W = 0

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Help!
If alcohol or drugs are used in small quantities, and with little or no damaging consequences, it's not usually
considered drug abuse.
A. True
B. False

Answers

Depends on the country

If alcohol or drugs are used in small quantities, and with little or no damaging consequences, it's not usually considered drug abuse.

The correct option is A.

What is driver license?

A person who has completed his 18 years of age, wants to drive any vehicle whether car or bike, he must have a license called the driver's license.

Drug abuse is the aggressiveness developed in person after drinking alcohol.

In countries, when a person takes in alcohol with little or no damaging consequences, he is not to be considered as drug abuse.

The given statement is True.

Thus, the correct option is A.

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If NASA and SpaceX stay on schedule with their plans to send humans to Mars, a person born in 2002 will be _____ years old when the first humans land on the red planet.


48


32


28


62

Answers

Answer:

32 YEARS OLD

Explanation:

Robotic mining that can provide water and fuel is the key to developing a colony on the red planet within the next 30 years. Mars will be colonized by humans by the year 2050, as long as autonomous mining processes quickly become more commercially viable.

If we assume that NASA and SpaceX stay on schedule with their plans to send humans to Mars, a person born in 2002 will be 28 years old when the first humans land on the red planet. The correct option is C.

At that time, NASA and SpaceX had plans and ongoing missions aimed at sending humans to Mars, but no specific date for the first manned mission had been announced. There were various proposals and timelines, but no official schedule had been set.

Given that the question refers to a person born in 2002, we can estimate their age in the future. Assuming the earliest estimated timeline for a crewed mission to Mars is around the 2030s or 2040s, a person born in 2002 would be approximately 28 to 48 years old by the time the first humans land on Mars.

However, it is important to note that these estimates are speculative and subject to change. The actual age of a person born in 2002 when the first humans landed on Mars will depend on numerous factors, including the progress of space agencies, advancements in technology, and potential delays or changes in plans.

Therefore, The correct answer is option C.

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high-mass stars have __________ lifetimes than low-mass stars.

Answers

Lifetimes of high-mass stars are shorter than those of low-mass stars.

Do stars with high masses live longer than stars with low masses?

A star's ability to convert its hydrogen to helium will increase with mass.In spite of having more fuel, it turns that out high mass stars burn up that fuel considerably more rapidly than low mass stars.Hence, low mass stars live a lot longer than higher molecular stars do!

How long does a relatively low star last?

Of all the sources of energy in the cosmos, low-mass planets are the ones that live the longest.Although though they outnumber all the other stars by a wide margin, they are the faintest, making them difficult to see.Some low-mass stars have a trillion-year life span.

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a child throws a baseball directly upward. what are the signs of the velocity and acceleration of the ball immediately after the ball leaves the child's hand?

Answers

The sign of the velocity of the ball immediately after it leaves the child's hand is positive because it is moving upwards, away from the ground. At this moment, the ball's velocity is increasing as it continues to move upwards, so the sign of its acceleration is also positive.

The acceleration of the ball at this moment is the acceleration due to gravity, which is a constant downward acceleration of approximately 9.8 m/s². Therefore, the sign of the acceleration of the ball immediately after it leaves the child's hand is positive. Velocity is a vector quantity that describes the rate of change of an object's position. It is calculated as the displacement of an object divided by the time taken for that displacement to occur, and it has units of length per unit time (e.g., meters per second). Velocity has both magnitude and direction, and it is used to describe the motion of objects in physics and engineering.

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How many kcalories are provided by a food that contains 25 g carbohydrate, 6 g protein, and 5 g fat?

Answers

169 Kcalories are provided by a portion of food that has 25 grams of carbs, 6 grams of protein, and 5 grams of fat.

Kcalories mean kilo-calories. Basically, kilo-calorie or kcal refers to 1,000 calories. To get the Kcalories of food, you have to add the kcal of carbohydrates, protein, and fat.

Get the product by multiplying the number of grams of carbohydrate, protein, and fat by 4,4, and 9, respectively. So if you want to get the energy or Kcal available from a meal, you must then combine the outcomes.

Simply put it, take note of the following conversions:

1 gram of carbohydrate is 4kcal1 gram of protein is also 4kcalThough, 1 gram of fat is 9kcal

So here's how to compute the Kcalories of food that contains 25g carbs, 6g protein, and 5g fat.

1.    25g x 4kcal/g = 100kcal

2.    6g x 4kcal/g = 24kcal

3.    5g x 9kcal/g = 45kcal

4.    100kcal + 24kcal + 45kcal = 169kcal!


Therefore, the food contains 169 kilo-calories!

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How many kcalories are provided by a food that contains 25 g carbohydrate, 6 g protein, and 5 g fat?

At what displacement from equilibrium is the speed of SHO half the maximum value?

Answers

Answer:

X = A sin ω t      is the simplest equation for SH

V = ω A cos ω t   describes the velocity where    ω A is the maximum speed

cos ω t = 1/2       describes 1/2 the maximum speed

then ω t = 60 deg      (cos 60 = 1/2)

X = A sin 60   will then be the displacement at 1/2 the maximum speed

or X = .866 A = 3^1/2 / 2 A

At 0.866 displacement from the point of equilibrium, the speed of the SHO is half the maximum value.

What is Equilibrium?

Equilibrium is the state of such a system in which neither its internal heat state nor its state or motion tend to change over time. If a simple mechanical body experiences neither accelerometers nor angular acceleration, it is considered to be in equilibrium.

That state will last as long as it is not disturbed by an external factor. Equilibrium for a single particle occurs when the vector sum of the forces acting on the particle is zero.

X = A sin ω t    

V = ω A cos ω t, it describes the velocity.

Here,

ω A = maximum speed

cos ω t = 1/2      

then ω t = 60 deg      

∵ cos 60 = 1/2

X = A sin 60, then the displacement will be at half the maximum speed.

X = 0.866 A

= \(3^{1/2}\) / 2 A

= 0.866

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