a human expedition lands on an alien moon. one of the explorers is able to jump a maximum distance of 14.5 m with an initial speed of 3.10 m/s. find the gravitational acceleration on the surface of the alien moon. assume the planet has a negligible atmosphere. (enter the magnitude in m/s2.)

Answers

Answer 1

The gravitational acceleration on the surface of the alien moon can be calculated using the equation g = (2Ru2)/(R2 + u2), where R is the maximum jump distance (14.5 m), and u is the initial speed (3.10 m/s). Plugging these values in, we get g = 0.5137 m/s2.

Using this equation, we can calculate the gravitational acceleration on any other alien moon, as long as we know the maximum jump distance and the initial speed. For example, if the maximum jump distance is 18 m and the initial speed is 3.50 m/s, then the gravitational acceleration would be 0.6115 m/s2.

Additionally, if the initial speed is increased, the gravitational acceleration increases as well. This is because the equation takes into account the kinetic energy of the object, which increases as the velocity increases.

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Related Questions

if a resistor of is rated at a maximum power dissipation of , what is the maximum current it can safely handle without damage?

Answers

Highest current that a resistor with a rating of 6 ohms and a maximum power consumption of 0.5 watts can safely withstand without breaking

Describe a current?

Electrical charge flow is referred to as a current. Transporting electrons from one place to another allows current to flow electrically. Solid conducts and electrolytes facilitate the easy movement of electrons. Current is frequently quantified using amperes.

The passage of electrical charges along a surface at a rate with one charge density per second is measured by the SI unit for electric current, known as the ampere, or amp. A standard SI base unit is the ampere (symbol: A). The ammeter is a tool used to measure electric current.

An ammeter is what?

Ammeter, apparatus

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how to find the frequency of a wave from the displacement of a wave traveling in the positive x -direction

Answers

The displacement y of a wave travelling in the x-direction is given by y=10−4sin(600t−2x+2π) metres.

Where x is expressed in metre and t in second.

What is motion?

Objects, bodies, matter particles, matter fields, radiation, radiation fields, radiation particles, curvature, and space-time are only a few examples of physical systems where motion is applicable. One may also discuss the movement of borders, shapes, and images. The word "motion" often refers to a continual change in the positions or arrangement of a physical system in space. One can discuss the motion of a wave or a quantum particle, for instance, where the configuration is the likelihood that the wave or particle would occupy a particular place.

It should be noted that when the wave is travelling in the positive x-direction, the equation for the wave is given as y=Asin(kx−ωt).

But if this wave is travelling in the negative x-direction then the wave equation is given as y=Asin(kx+ωt)

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If you drop an object from a height of 0.8 m, it will hit the ground in 0.40 s. If you throw a baseball horizontally with an initial speed of 17 m/s from the same height, how long will it take the ball to hit the ground?
Answer suppose to be in seconds

Answers

Answer:

The time it takes for an object to hit the ground depends on its vertical velocity, which is determined by the force of gravity. In this scenario, the vertical velocity of the baseball is determined by its initial vertical velocity (0 m/s) and the acceleration due to gravity (-9.8 m/s^2). The vertical displacement of the baseball can be found using the equation:

d = v_0t + 0.5at^2

where d is the vertical displacement (0.8 m), v_0 is the initial vertical velocity (0 m/s), t is the time, and a is the acceleration due to gravity (-9.8 m/s^2).

Rearranging the equation and solving for t:

t = √(2d/a)

t = √(2 * 0.8 / -9.8)

t = 0.44 seconds

So it takes the baseball 0.44 seconds to hit the ground.

the jacksons are driving to the lake when a car in front of their slams on its brakes. mrs. jackson slams on her brakes, too. everyone is wearing their seatbelts which stop them from being thrown forward in the car. what is the unbalanced force

Answers

The car stopping short is the unbalanced force.

A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N). Force is represented by the symbol F.

When the resultant force acting on a body is not equal to zero, the forces acting on the body are known as unbalanced forces. The body acted upon by unbalanced forces changes its state of motion.

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when i replace old belt with new belt on shark vacuum the roller brush will run and then the roller brush will stop running ?

Answers

There could be several reasons why the roller brush on your Shark vacuum stops running after you replace the old belt with a new one, Incorrectly installed belt, Belt tension, Blockages in the vacuum, Broken brush roll, Motor issues.

Double-check that you have installed the new belt correctly. If the belt is not installed properly, it may not be able to transfer power to the roller brush properly. Make sure the new belt is properly tensioned. If the belt is too loose or too tight, it can affect the performance of the roller brush.

Check for blockages in the vacuum, including the brush roll area. Blockages can cause the brush to stop spinning. If the brush roll is broken or damaged, it may not spin properly, even with a new belt. If none of the above solutions work, the problem may be with the vacuum's motor. A malfunctioning motor can cause the brush to stop running properly. If this is the case, you may need to take the vacuum to a repair shop to have it fixed.

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Identify the scenario, where the crash sensor of a car can possibly send signals to inflate the airbag in automobiles.

Answers

When a car is stopped abruptly by an impact, the airbags are inflated.

An airbag is an inflatable safety device designed to protect the occupants of a car in case of a collision. The airbags are part of an occupant restraint system and are also referred to as air cushion restraint system. Airbags supplement the basic protection offered by seat belts.

When a car is stopped abruptly by an impact, all bodies or objects that are not firmly fixed to the car will continue to move at the impact speed. The sensors measure this acceleration and relay it to the control unit as usable data.

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A meter stick is balanced at its center using a support. A 0.45-N weight is hung on
the meter stick a distance 0.30 m from the center to the right. Where should you
place a 0.20-N weight such that the meter stick is in static equilibrium?


Plss

Answers

To balance a 0.45 N weight 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center.

Where should you place a 0.20-N weight such that the meter stick is in static equilibrium?In order for the meter stick to be in static equilibrium, the net force on it must be equal to zero. If a 0.45 N weight is hung on the meter stick a distance of 0.30 m from the center to the right, a force will be exerted on the meter stick to the right. To balance this force and achieve static equilibrium, a force must be exerted in the opposite direction.To find the location where a 0.20 N weight should be placed to achieve static equilibrium, we must use the principle of moments. The principle of moments states that the sum of the clockwise moments about a pivot point must equal the sum of the counterclockwise moments about the same pivot point.So, to balance the 0.45 N weight hung 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center. This will exert a force of 0.20 N in the opposite direction, balancing the 0.45 N force to the right and achieving static equilibrium.In summary:To achieve static equilibrium, the net force on a meter stick must be equal to zeroThe principle of moments states that the sum of clockwise moments must equal the sum of counterclockwise momentsTo balance a 0.45 N weight 0.30 m to the right of the center, a 0.20 N weight must be placed 0.15 m to the left of the center.

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the force of attraction that a -40HC charge point exerts on a +108HC point charge has magnitude 4.00N how far apart are these two changes

Answers

The distance between the two charges is 3.12 m.

What is the distance between the two charges?

The distance between the two charges is determined by applying Coulomb's law of electrostatic force.

F = kq₁q₂ / r²

where;

q₁ is the first chargeq₂ is the second charger is the distance between the charges

The distance between the two charges is calculated as;

r² = kq₁q₂  / F

r = √ ( kq₁q₂  / F )

r = √ ( 9 x 10⁹ x 40 x 10⁻⁶ x 108 x 10⁻⁶ / 4 )

r = 3.12 m

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an acceleration in the positive direction always means that a moving object is speeding up. group of answer choices true

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Acceleration is defined as a change in velocity over time. Therefore, an acceleration in the positive direction means that the velocity of the moving object is increasing, which means it is speeding up.

What is the direction ?

The direction usually refers to a course or path of action that one should follow. It is a guide that outlines the steps that should be taken and the goals that should be achieved. Direction can be used to point an individual in the right direction and help them to reach their goals. Direction can also be used to provide guidance and motivation, allowing an individual to stay on track and make progress towards their desired outcome. Direction can come in many forms, such as instructions, advice, and guidance from mentors, peers, or mentors. It is important to seek out the right direction and to adjust when needed to ensure that one is able to achieve the desired outcome.

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Our turtle, Adel, walks 10 feet in 50 minutes. How fast is Adel traveling? Be sure to include the equation for speed in your answer.

Answers

The speed of the turtle, Adel is 0.2 feet per minutes.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Distance travelled by the turtle, Adel is = 10 feet

Time taken by the turtle is = 50 minutes.

Now we know that

speed = distance travelled ÷ time interval

Hence, the speed of the turtle is = 10 feet ÷  50 minutes.

= 0.2 feet per minutes.

Hence, the speed of the turtle, Adel is 0.2 feet per minutes.

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The wine poured in the pot_______ heat,. Increasing in its molecular collisions that overcome the intermolecular attraction forces. Almost immediately, part of the wine_______. You cover the pot with a lid, to let the beef cook slowly and become tasty

Answers

Heat the saucepan after the wine has been added. Growing molecular collisions that defeat the forces of intermolecular attraction. A portion of the wine starts to boil away almost instantly.

What's a good illustration of molecular attraction?

Example: The polar H2O molecules are drawn to the sodium and chloride ions in the beaker when NaCl and water are combined there. This interaction's potency is determined by: how big the dipole moment is.

What draws molecules together?

Polar molecules line up so that their positive ends interact with each other's negative ends. Unlike the atoms' covalent bonds in a molecule (intramolecular bonding)

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voltages of about 50v can cause an electric shock (assuming contact with dry hands, as in this experiment). based on your experimental results, how much current would be going through your body with such a voltage?

Answers

Due to the insufficient electrical energy to interfere with biological functioning, low-voltage shocks of 50V have never proved deadly. This low power output is indeed the cause of this.

What occurs when you touch 120 volts?

Deep burns can be brought on by large electrical currents of 500 V or more, whereas muscle spasms can be brought on by low voltage currents of 110–120 V. Exposure with or without a flow of electrons from with a tiny home device, wall socket, or extension cord can result in an electric shock.

What occurs if you receive a 50 volt shock?

In terms of electrical safety, exposure to voltages lower than 50V a.c. is typically regarded as low risk. Although a 50V a.c. electric shock is improbable to be lethal, it can nonetheless be uncomfortable and cause.

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a circular swimming pool has a diameter of 20 m. the circular side of the pool is 4 m high, and the depth of the water is 3.5 m. (the acceleration due to gravity is 9.8 and the density of water is 1000 .) how much work (in joules) is required to:

Answers

The required work to pump all of the water over the side is calculated to be 24617600 J.

Density of water = 1000 kg/m³

Acceleration due to gravity = 9.8 m/s²

Depth of water h = 3.5 m

Area of pool of diameter d = 20 m

A = π(d²/4) = 3.14×20²/4 = 314 m²

Wall height of the pool = 4 m

Force on the bottom of the pool due to water = ρ g h A = 1000×9.8×2×314 = 6154400 N

Amount of work required to pump all of the water over the side is,

Work = F × h = 6154400 × 4 = 24617600 J

Thus, the work required to pump all of the water over the side is calculated to be 24617600 J.

The given question is incomplete. The complete question is 'i.pump all of the water over the side?'

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(06.01 mc) why does earth rotate? because earth is formed from cold gases collapsing due to gravity because the matter in the nebula that formed earth was spinning because earth forms more than 99% of the mass of the solar system because the hydrogen atoms inside the nebula fused to form helium

Answers

The earth rotate because earth is formed from cold gases.

The earth rotate because it makes up more than 99% of the mass of the solar system since it was created by cold gases collapsing under the influence of gravity, spinning material in the nebula that created it, and fusion of hydrogen atoms into helium in the nebula.

Earth rotates because the sun draws it and pulls it towards it. In addition, because of the earth's revolution around the sun, it tends to move away from the sun in the direction of the tangent, creating a rotating force (torque) that pulls the earth towards rotation.

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what is the speed, in meters per second, of the fluid as it moves through the wide section of the horizontal tube?

Answers

To find the speed of the fluid as it moves through the wide section of the horizontal tube, we need to know the values of V2 = V1 * A1 / A2

To find the speed of the fluid as it moves through the wide section of the horizontal tube, we need to know the volume flow rate of the fluid, the cross-sectional area of the wide section, and the density of the fluid. Assuming that the fluid is incompressible and has a constant density, the volume flow rate remains constant as the fluid moves from the narrow section to the wide section. Therefore, the speed of the fluid can be calculated using the equation of continuity:

V1 * A1 = V2 * A2,

where V1 is the fluid velocity in the narrow section, A1 is the cross-sectional area of the narrow section, V2 is the fluid velocity in the wide section, and A2 is the cross-sectional area of the wide section.

So, we can solve for V2:

V2 = V1 * A1 / A2.

Therefore, to find the speed of the fluid as it moves through the wide section of the horizontal tube, we need to know the values of V1, A1, and A2.

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how many additional electrons can a fluorine atom attract

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Answer: Fluorine has seven valence electrons, so it is most likely to gain one electron to form an ion wit a 1- charge.

Explanation:

A fluorine atom can attract one additional electron to fill its outermost shell and achieve a stable electron configuration. This ability to attract electrons is due to fluorine's high electronegativity, which is a result of its small atomic size and high nuclear charge. The strong attraction between fluorine and electrons makes it highly reactive and capable of forming strong chemical bonds with other elements.

Atoms are composed of positively charged protons, negatively charged electrons, and neutral neutrons. The number of electrons in an atom determines its chemical properties, as the electrons are involved in chemical bonding. Some atoms have a tendency to attract additional electrons to fill their outermost electron shell, which can result in the formation of ionic or covalent bonds. Fluorine is one such atom that has a strong tendency to attract additional electrons due to its high electronegativity.

Fluorine is a highly electronegative element, meaning it has a strong tendency to attract electrons towards itself. This is due to its small atomic size and high nuclear charge, which results in a strong electrostatic attraction between the positively charged nucleus and the negatively charged electrons.

Fluorine has seven electrons in its outermost shell, which means it is only one electron short of having a full outer shell. This makes fluorine highly reactive, as it has a strong tendency to attract an additional electron to fill its outer shell and achieve a stable electron configuration. When fluorine attracts an additional electron, it forms a negative ion called fluoride.

The strength of fluorine's electronegativity can be quantified using a scale called the Pauling scale. Fluorine has the highest electronegativity of all the elements on the periodic table, with a Pauling electronegativity value of 4.0. This means that fluorine can attract electrons more strongly than any other element, making it highly reactive and capable of forming strong chemical bonds with other elements.

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Two unknown elements react to form a single compound. Element 1 is shiny, malleable, and conductive. Element 2 is a non-conductive gas. When they react,

what would you expect to be true about the compound produced?

A. The compound will probably have properties of both elements like a metalloid.

B. The compound will probably have high boiling points and melting points and will be conductive in solution

C. The compound will probably have low boiling and melting points and will not be conductive in solution.

D. The compound will probably have high boiling and melting points and will not be conductive in solution,

lol

Answers

The compound is created when two unidentified components combine. The material is malleable and glossy. The chemical will likely highly conductive in solution and have high melting and boiling points.

Choice B is correct as a consequence.

What is malleable strength?

The solid's malleability refers to its capacity to flex or otherwise be hammered together into different form without cracking. If a substance is malleable, it may be rolled or hammered into something akin to a fine layer without being used.

What is malleable ability?

Malleability is the capacity of a material, often metal, to be bent as well as molded into a new shape.

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if three uncharged styrofoam balls are placed together and agitated so that one gains 3 c of charge and another gains 4 c of charge, how much charge must there be on the third one?

Answers

−7 C.  Like charges attracts and unlike charges repel. When the three charges are are agitated, the +3 C and +4 C will repel to give of +7 C. The third strike will be -7 C to provide an arithmetic sum of 0 in the system, bringing the system into balance.

What three categories of fees are there?

Subatomic particles or matter particles are examples of the different forms of charges:Positive charge characterizes protons.Negative charge characterizes electrons.There is no charge on a neutron.

Are there really only two fees?

There are just two different kinds of charge, positive and negative.The force among charges diminishes with the cube of the distance, with like charges repelling and unlike charges attracting.

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what is the magnitude, in meters per squared second, of the car's average acceleration during the given time period.

Answers

1.573 m/s² is the magnitude, in meters per squared second, of the car's average acceleration during the given time period.

Using given numerical values:

a_avg = ((v₁x - v₀x)/ Delta t) i + (v₁y/ Delta t) j

a_avg = (37 - 39)/2.9 i + 4.1/2.9 j

a_avg = -0.690 i + 1.414 j

Magnitude of average acceleration will be:

|a_avg| = √ ((-0.690)² + 1.414²)

|a_avg| = 1.573 m/s²

The greatest size and direction of an item are referred to as the object's magnitude in physics. Vector and scalar values both employ magnitude as a common denominator. Scalar quantities are understood to be those that have only magnitude, according to their definition. Vector quantities, on the other hand, are those that have both magnitude and direction.

Magnitude may be used in a number of different contexts. To name a few of them:

seismic event's strength

Dimension of an electron's charge

force's magnitude

Distance in magnitude

the gravitational force's strength.

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The complete question is:

Give a vector expression for the average acceleration of the car during the given time period in terms of the variables in the problem and

unit vectors i and j.

a_ave = (V₀x + V₁x) i + (V₁y) j/Δt

Part (b) What is the magnitude of the car's acceleration during the time period in question, in m/s²?

aromatherapy uses which principle

Answers

Answer:

Aromatherapy uses the principle of olfactory stimulation, meaning it uses the sense of smell to affect the body and mind. Essential oils, which have distinct fragrances, are inhaled or applied topically to bring about physical and psychological benefits.

Answer: The basic principle of aromatherapy is to strengthen the self healing processes by indirect stimulation of the immune system.

Explanation:

2. (2 points) each scope probe has a short black ground wire attached to it. why is it necessary to connect this to the circuit's ground point in order to make a measurement?

Answers

If the equipment and the scope are both grounded, reconnecting the scope connection might enable measurement, but only for high- or low-frequency signals.

A frequency is what?

Therefore, if a wave passes through in a half second, the rate is 2 every second. The rate is 100 times per hour if it occupies 1/10 of an hour. The number of full oscillations that any wave element makes in one unit of time is the frequency of the a sinusoidal wave.

What signs are there?

To communicate with one another, humans utilise signals, which can be either gestures or messages. giving a close friend a wave.

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Consider the following solvent pairs when mixed: Which are immiscible/miscible? If the solvents are immiscible, which solvent would be in the top layer?
a. hexane and water
b. methylene chloride and water
c. ethanol and water
d. ether and water

Answers

The solvents that will be in the top layer are hexane, methylene chloride and ether.

What are solvents?

A solvent is a substance in which other substances are dissolved to form a solution. Solvents play a crucial role in many chemical processes and are used in a variety of applications such as cleaning, paint thinning, and extractions. Solvents can be either polar or non-polar, and this polarity determines the solubility of other substances in the solvent.

When two solvents are mixed, they can be either immiscible, meaning they do not mix and form separate layers, or miscible, meaning they mix and form a homogeneous solution. The relative density of the solvents will determine which solvent will be in the top layer.

a. hexane and water are immiscible, and hexane would be in the top layer.

b. methylene chloride and water are immiscible, and methylene chloride would be in the top layer.

c. ethanol and water are miscible, meaning they can form a homogeneous mixture.

d. ether and water are immiscible, and ether would be in the top layer.

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a system consisting of two blocks a and b connected by a non-extendable cable that runs around two pulleys. determine the kinematic relationships between the velocities and the accelerations of the block.

Answers

Kinematic relation between acceleration and velocities of a system consisting of two blocks named as a and b is g (m₂ - m₁)/(m₂ + m₁).

Utilizing the standard marking, let the more modest mass be m₂, and the bigger mass is m₁, and since the powers are just acting in the upward heading, we will involve the summation condition for the powers along the y-hub as it were.

It very well may be obviously seen that main two powers are following up on every one of the majority, that is to say, their own weight acting downwards and the pressure in the string acting upwards.Subsequently, the summation condition for powers on each mass can be composed utilizing the standard sign show, the vertical power is taken as certain, and the descending power is taken as negative.

T-m₁g = m₁a … . (1)

T-m₂g = - m₂a … . (2)

On settling (1) and (2) we get

a = g (m₂ - m₁)/(m₂ + m₁)

Where, T = Tension in the string, a = acceleration of the speed increase of two masses.

Hence,kinematic relation between acceleration and velocities is g (m₂ - m₁)/(m₂ + m₁).

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a mass is susoened by a spring and subject to an input force function f(t). what is the relationship between the inout force and the output velocity for the system

Answers

The relationship between the input force and the output velocity for a mass-spring system can be determined using the principle of linear systems.

For a linear system, the response of the system to a given input force is proportional to the input force.

m * d²×/dt² + kx = f(t)

where m is the mass, k is the spring constant, x is the displacement, and f(t) is the input force.

Taking the derivative of x with respect to time gives us the velocity, v(t), which can be substituted into the equation to give us:

m * d²v(t)/dt² + k ₓ dx/dt = df(t)/dt

So, the output velocity is proportional to the derivative of the input force. This means that the velocity of the system will increase as the rate of change of the input force increases. The proportionality constant between the input force and the output velocity is determined by the system's parameters (mass and spring constant).

It is important to note that this relationship holds only for linear systems and is only valid for small amplitude oscillations. For large amplitude oscillations or non-linear systems, this relationship may not hold.

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What cause sound seismic and electromagnetic waves to transmit energy through different mediums

Answers

Answer:

Explanation:

Sound, seismic, and electromagnetic waves transmit energy through different mediums due to the motion of particles in the medium.

Sound waves transmit energy through the vibration of particles in a solid, liquid, or gas. The energy is transferred from particle to particle as the wave travels through the medium.

Seismic waves are created by the sudden release of energy from earthquakes, volcanic eruptions, or other geological events. These waves travel through the Earth's solid mantle and crust, transmitting energy through the vibration of particles in the rock.

Electromagnetic waves are a type of wave that does not require a medium to travel through. They are created by the motion of charged particles, such as electrons, and can travel through a vacuum, such as space. Electromagnetic waves transfer energy through the oscillation of electric and magnetic fields.

what did curiosity discover about the atmospheric conditions on mars?

Answers

Overall, Overall, Curiosity's observations have provided valuable insights into the Martian atmosphere and helped to improve our understanding of the Red Planet.have provided valuable insights into the Martian atmosphere and helped to improve our understanding of the Red Planet.

How does Curiosity generate the energy needed to explore Mars?

The rover need power to operate. Without electricity, it cannot move, use its scientific apparatus, or communicate with Earth. On Curiosity, a radioisotope power system generates electricity from heat created by the radioactive decay of plutonium.

Thin atmosphere: Curiosity's measurements of the Martian atmosphere have shown that it is much thinner than Earth's, with a surface pressure of only about 1% that of Earth's. This means that the atmosphere provides very little protection from the harsh radiation environment on Mars.

Seasonal changes: Curiosity has observed seasonal changes in the Martian atmosphere, with the amount of methane gas increasing and decreasing over the course of a Martian year. This could be a sign of active geological or biological processes on the planet.

Dust storms: Curiosity has observed and studied several dust storms on Mars. These storms can have a significant impact on the Martian atmosphere, causing changes in temperature, pressure, and the amount of sunlight reaching the surface.

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Many measuring instruments have to be calibrated. What does this mean? Give an example.​

Answers

Answer:

Explanation:

because we have to get a measuremt.

what is the energy contained in a 1.00 m3 volume near the earth's surface due to radiant energy from the sun? see example 31-6 in the textbook.

Answers

The energy contained in a 1 m³ volume near the earth's surface due to radiant energy from the sun will be approximately equal to 5747.4 J.

The energy contained in a 1 m³ volume near the Earth's surface due to radiant energy from the Sun can be calculated. We can use the solar radiation energy flux formula for this.

Flux = I_s × (1 - α).

where, I_s can be the constant (solar constant) , α ⇒ alpha can be the fraction of solar radiation that is reflected by the Earth back.

Solar constant can be approximated as 1367 W/m² and like that alpha can also approximately the value of 0.3.

Now energy flux is equal to,

Flux = 1367 W/m² × (1 - 0.3) = 957.9 W/m².

To calculate the energy contained in a 1 m³ volume, multiply the energy flux by the volume's surface area. When the volume is a cube, the surface area is 6 times that of one face.

i.e. Energy = Flux × 6 × (1 m)² = 5747.4 W × 1 m²= 5747.4 J.

So, the energy contained in a 1 m³ volume near the earth's surface due to radiant energy from the sun will be approximately equal to 5747.4 J.

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A boy pulls a sled 46 m across a flat field with a force of 120 N. The force acts on the sled through a rope at a 23° angle with the horizontal. What is the work the boy does on the sled? (Round your answer to two significant figures. )

Answers

When a force is applied with an angle to the x-axis, equation for work done is W= F×d×Cosθ. Here the work done is found to be 5.1×10³ J.

Work done is the quantity of energy transferred to the body to change its position or state of rest or state of uniform motion. Here we are applying a force to move the object to a distance. The equation for work done = Force× displacement.

Here the force applied make an angle 23° with the x-axis. So, the work done is calculated using the equation

W = F·cosθ ×d

F= 120N, θ= 23°, d= 46m

W = 120×Cos(23)×46

   = 5.1×10³ J.

So to move the object to 46 m, by applying a force 120N with an angle 23° to horizontal axis, the work done is 5.1×10³ J.

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The dependent variable, depends on the size of a wire

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Electrical Resistance

Electrical Ground

Electric Circuit

Answers

The dependent variable, depends on the size of a wire is Electrical Resistance. Option A is correct.

The dependent variable that depends on the size of a wire is Electrical Resistance. Electrical resistance is a measure of the degree to which an object opposes the flow of electrical current through it.

The resistance of a wire is determined by its size, shape, and composition, among other factors. In general, as the size of a wire increases, its resistance decreases, all other factors being equal. This is because a larger wire has more space for electrons to flow through, reducing the likelihood of collisions and increasing the flow of current. Therefore, electrical resistance is directly dependent on the size of a wire.

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