Saturn's moons has evidence for the existence of a subsurface ocean of liquid water known as Enceladus
Enceladus is a living moon with a vast ocean of liquid salty water beneath its crust. Furthermore, jets of icy particles from that ocean, laced with a brew of water and simple organic chemicals, erupt from this fascinating ocean world on a continuous basis.
Saturn, like Jupiter, has no surface but an atmosphere that contains traces of water vapor. Furthermore, Saturn's spectacular rings are mostly composed of water ice. Titan, Saturn's largest moon, has a surface made up of water ice and other hydrocarbon-based ices.
Cassini discovered water constantly spewing out of jets around Saturn's moon Enceladus' south polar region, leading scientists to conclude that its subsurface ocean contains all of the ingredients for life - liquid water, heat, and food (methane).
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a horizontal clothesline is tied between 2 poles, 18 meters apart. when a mass of 2 kilograms is tied to the middle of the clothesline, it sags a distance of 5 meters. what is the magnitude of the tension on the ends of the clothesline?
The magnitude of the tension on the ends of the clothesline is 175N.
Tension is a mechanical term that describes the opposing resisting force that a rope or string experiences when it experiences a weight at the end of it. It can be measured in Newtons. It can be found all the way down a rope or thread.
we know that the combined vertical tension in the clothesline must equal the weight of the mass;
using g=9.8m/s/s, W=2kgx 9.8m/s/s = 19.6N
now, draw a diagram of the situation; if we call x the angle between the clothesline and the horizontal line that connects the poles, we have that
tan x = 1/9 => x =6.34 deg
now, we can use this angle to show that if T is the tension in the clothes line, the vertical component of tension is T sin x = T sin 6.34
since both sides of the line exert a tension up, we have that
2 T sin 6.34 = W = 19.6 N
or T= 175N.
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What is the electric flux through one side of a cube that has a single point charge of -3. 80 µC placed at its center? Hint: You do not need to integrate any equations to get the answer.
? N·m^2/C
The electric flux through one side of a cube is found as -7.1 x 10⁴ V.m.
Explain the term Gauss's Law?According to Gauss's law, the enclosed charge is the only factor affecting the electric flux across a closed surface. Furthermore, no matter how the closed surface is shaped, the electric flux for a point charge remains constant.The equation is given by
ФE = q(int) / ∈₀
ФE = electric flux passing any of the surface
q(int) = charge enclosed by surface = -3. 80 µC
∈₀ = 8.85 x 10⁻¹² F/m (permittivity of free space)
Put the given values.
ФE = -3. 80 x 10⁻⁶ /8.85 x 10⁻¹² / 6 (for one surface of the cube)
ФE = -7.1 x 10⁴ V.m
Thus, the electric flux through one side of cube is found as -7.1 x 10⁴ V.m.
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. In a railroad yard, a train is being assembled. An empty boxcar, coasting at 3.0 m/s, strikes a
loaded car that is stationary, and the cars couple together. Each of the boxcars has a mass of 9000
kg when empty, and the loaded car contains 55,000 kg of lumber. what is
the final velocity
The final velocity of the two coupled cars is 1.2 m/s.
What is the final velocity of the two coupled cars?The final velocity of the two coupled cars when the empty boxcar strikes the loaded car is determined by the conservation of momentum.Momentum is defined as the product of mass and velocity and is conserved in an isolated system. Since the system of the two cars is considered isolated, the total momentum before the collision is equal to the total momentum after the collision.The total momentum before the collision is equal to the momentum of the empty boxcar. The momentum of the empty boxcar is equal to 9000 kg multiplied by 3.0 m/s, which is 27000 kg m/s.The total momentum after the collision is equal to the sum of the momentum of the loaded car, which is 55000 kg multiplied by 0 m/s, and the momentum of the two coupled cars.The final velocity of the two coupled cars is determined by solving for the velocity in the equation 27000 kg m/s = (9000 + 55000) kg multiplied by v, with v being the final velocity of the two coupled cars. The final velocity of the two coupled cars is equal to 2.4 m/s.To learn more about The final velocity refer to:
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A positively charged rod is brought near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod will be charged
positive.
negative.
neutral
The end of the metal bar farthest from the positively charged rod will be negatively charged.
What is the initial charge of the metal bar before the rod is brought near?
The initial price of the metal bar earlier than the rod is delivered near is uncharged. That is specific inside the trouble assertion, wherein it's far said that the steel bar is uncharged before the undoubtedly charged rod is brought close to. The steel bar is taken into consideration as a impartial item earlier than the creation of the charged rod. It method that the wide variety of protons and electrons inside the metallic bar are identical, so there's no internet rate. Therefore, the initial price of the steel bar earlier than the rod is brought close to is uncharged.
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a 60 kg hiker wishes to climb 1200 meter high if he can generate a sustained average power of 500 watts, how long will the climb take
The time it will take do the hiker to climb the 1200m high wall is 1,411.2 seconds.
How to calculate time from power?Power refers to the measure of the rate of doing work or transferring energy.
Power = Work done/time
Since work = force × distance the body is moved
Power = (m × g × h) / t
Where;
m = the mass of the bodyg = the acceleration due to gravityh = the height the body has fallent = the time the body has fallenAccording to this question, a 60kg hiker wishes to climb 1200m high. If he can generate a sustained average power of 500 watts, the time it will take to climb is as follows;
500 = 60 × 9.81 × 1200/t
500t = 705,600
t = 1,411.2 seconds
Therefore, 1,411.2 seconds is the time it will take the hiker.
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can i run my car's air conditioning while waiting a few minutes before i attempt to deflood the car engine again?
You can run the car’s air conditioning before attempt to unflood the car engine.
If you aren't short on gas, you can leave your car idling with the air conditioner on for as long as you wish. However, you shouldn't do this with the engine off, since this will quickly drain the battery and leave you in need of a jumpstart. Internal Combustion Engines (ICEs) that have been flooded with too much fuel are rendered inoperable. Sometimes, giving a flooded engine some time to dry out is the best solution.
You can let the excess gas out of your car by opening the hood and leaving it that way for as long as possible. After waiting around 20 minutes, try to start the car up again without pressing the gas. If that doesn't work, you might want to inspect the spark plugs.
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A 77.0 kg woman, initially at rest, slides
down a 42.6 m long waterslide inclined
at 42.3°. At the bottom, she is moving
20.3 m/s. How much work did friction
do on the woman?
Answer:
5.791244495 KNm
Explanation:
hope it helps
Answer:
-5770
Explanation:
other guy is trash
Where are the carbon atoms before the chemical reaction starts?
Carbon atoms combine with carbon dioxide molecules to form ethanol. The area of the atom where a chemical reaction takes place is called the electron cloud.
What molecule are carbon atoms in before the chemical change?In ethanol, carbon atoms join molecules of carbon dioxide. The electron cloud is the region of the atom that is involved in a chemical process. The area of the atom surrounding the nucleus is called the electron cloud. The particle that caused the reaction to take place is an electron, which is found in the electron cloud.
A chemical reaction neither creates nor destroys atoms. Rearranging the atoms occurs. Due to this, new compounds are created that have properties that differ from the initial substances.
The materials that initiate a chemical reaction are known as reactants, while the materials created as a result of the reaction are known as products.
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what are the two main metals that make up the outer and inner core?
The core is almost entirely comprised of metal, notably iron and nickel, in contrast to the crust and mantle, which are rich in minerals. The iron-nickel alloys in the core are denoted by the chemical symbols NiFe.
The densest sort of solid matter in space is metal. They are often made of heavier metals that have not undergone chemical fusion. Iron and nickel are the most frequent metallic elements that have not yet been mixed, at least inside our Solar System. As we can see from Earth's structure, metals may be liquid like rocks in the hot cores of huge bodies. Consequently, the iron- and nickel-rich metals dominate the core. In the case of Earth, we know that the metal is melted in the outer core, yet there is high-pressure solid metal within that liquid (inner core).
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A ball of mass 2 kg is attached to a vertical spring. The ball displaces 0. 1 m once it is attached. What is the spring constant?
The spring constant of spring when a ball of mass 2 kg is attached to a vertical spring and is displaced 0. 1m once it is attached is 196.
Given the mass of ball (m) = 2kg
The distance the ball displaced (x) = 0.1m
We know that from Newtons laws of motion F = ma where F is the force acting on an object a is the acceleration.
Here, since the ball is attached to the vertical spring the acceleration acting on the ball is due to gravity. So a = g = 9.8m/s^2.
The restoring force acting on the vertical spring is given as:
Fr = kx where k is spring constant and x is the distance the ball displaced.
As restoring force is balanced by the weight of the ball, Fr = F
Then mg = kx such that k = mg/x
k = 2 x 9.8 / 0.1 = 196
Hence the spring constant of the spring = 196
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Answer:
Explanation:
Since F = ma
And a is 9.8
m = 2
F = 2*9.8
F = 19.6
Hookes Law:
F = kx
So 19.6 = k*0.1
So k = 196
19. A rock that is thrown vertically downward travels
10.0 m before hitting the ground. If it strikes the
ground at a velocity of 15.0 m/s, how long did it
take to reach the ground?
It took 2.04 seconds for the rock to reach the ground, after it was thrown vertically downward at a velocity of 15.0 m/s.
What is velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the distance an object travels per unit of time. The standard unit of velocity is meters per second (m/s) in the International System of Units (SI).
To determine how long it took for the rock to reach the ground, we can use the equation:
d = v0t + (1/2)gt^2
Where d is the distance traveled, v0 is the initial velocity (which is zero for a rock that is thrown vertically downward), t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Since we know the distance traveled and the final velocity of the rock, we can rearrange the equation and solve for t:
t = (2d / g)^1/2
Plugging in the given values:
t = (2 * 10 m / 9.8 m/s^2)^1/2 = (2 * 10 / 9.8)^1/2 = 2.04 s
Therefore, it took 2.04 seconds for the rock to reach the ground, after it was thrown vertically downward at a velocity of 15.0 m/s.
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A rocket of mass 1000kg containing a propellant gas of 3000kg is to be launched vertically. If the fuel is consumed at a steady rate of 60kg/s, calculate the least velocity of the exhaust gases if the rocket and content will just lift off the launching pad immediately after firing?
A 1000 kg rocket with a 3000 kg propellant gas is intended for vertical launch. If the gasoline is used consistently at a rate of.
What initiates the launch of a rocket?When the upward force of thrust is higher than the downward force of gravity, a rocket is said to have launched. A rocket will speed upwards as a result of this imbalanced force. As long as the thrust of a rocket engine produces an upward force, a missile will continue to accelerate.
What forces are present when a rocket is launched?A rocket experiences four forces while in flight: weight, velocity, and the aerodynamics of lift and drag. The weight's size is determined by the.
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a tin can has a volume of 1100 cm3 and a mass of 80 g. approximately how many grams of lead shot can it carry without sinking in water?
The tin can carry approximately 880 grams of lead shot without sinking in water.
To calculate this: Start with the equation for buoyancy: Buoyant force = Density of fluid x Volume x Gravity
Substitute in the values for the tin can: Buoyant force = Density of water x 1100 cm3 x 9.8 m/s^2
Convert the volume to liters: 1100 cm³ = 1.1 liters
Substitute in the density of water (1 g/cm^3): Buoyant force = 1 x 1.1 x 9.8
Solve for the buoyant force: Buoyant force = 10.78 N
To find the maximum weight of lead shot that the can carry without sinking, subtract the weight of the can (80 g) from the buoyant force (10.78 N) and convert it to grams: 898 g
So the tin can carry approximately 898 grams of lead shot without sinking in water.
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Please help!!!!!!!!!!!!!!!
Answer:
1. The properties of ionic compounds are:
a. Ionic compounds usually exist in the form of crystalline solids at room temperature.
b. Ionic compounds are soluble in water.
c. Ionic compounds have high melting and boiling points
d. Ionic compounds don't conduct electricity in solid state.
e. The ions of ionic compound crystals are orderly arranged.
2. The properties of covalent compounds are:
a.Covalent compound generally exist in liquid and gaseous state.
b. They are poor conductor of elctricity.
c. Melting and boiling points of covalent compounds are lower than ionic compound.
d. They are generally soluble in non- polar solvents such as benzene.
e. They are made up of molecules held together by weak Vanderwaal's force of attraction.
3. Salt is a covalent compound.
4. Sugar is an ionic compound.
Rest of the assignment is practical. Do at a Lab.
3. Luke writes a very important note to Tyreke, who sits 5.8 m away, and folds it into a
paper airplane. The message must get there before the bell, in 6.5 seconds! At what
speed must he fly the paper airplane?
Distance traveled time is 4 meters per second.Count the number of seconds it would take the plane to fly a mile and convert that number to seconds.
How do you calculate distance traveled by an Aeroplane?The formula in this situation is Distance = Rate/Time.Rate (or Speed) times Distance traveled time.Adding together the distances covered by each plan results in a total distance of 1275 km.Though each flight takes 1.5 hours to complete, the planes' velocities are different by a hundred kilometers per hour.
The speed, in meters per second, of a paper airplane that flies 24 meters in 6 seconds will be 4 meters per second.
Distance traveled by airplane = 24 meters.
Time taken = 6 seconds
Therefore, the speed will be:
= Distance / Time taken
= 24 meters / 6 seconds
= 4 meters per second.
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a rifle with a weight of 30.0 n fires a 5.0-g bullet with a speed of 300 m/s. (a) find the recoil speed of the rifle. (b) if a 700-n man holds the rifle firmly against his shoulder, find the recoil speed of man and rifle.
The recoil speed of man and rifle are 0.05 m/s and 0.0021 m/s .
(a) The recoil speed of the rifle can be found using the law of conservation of momentum. The momentum of the bullet is equal to the momentum of the rifle and the man.
Momentum of the bullet = mv = (5.0 g)(300 m/s) = 1.5 kg·m/s
Momentum of the rifle = (30.0 n)(v)
Therefore, v = 1.5 kg·m/s ÷ 30.0 n = 0.05 m/s
The recoil speed of the rifle is 0.05 m/s.
(b) The total momentum of the man and the rifle is equal to the momentum of the bullet.
Momentum of the man and rifle = mv = (700 n)(v)
Therefore, v = 1.5 kg·m/s ÷ 700 n = 0.0021 m/s
The recoil speed of the man is 0.0021 m/s.
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analysis of a bus crashgiven the following theoretical data for the collision, answer the following questions and complete the data table. show work! bus suv m v p m v p total momentum before collision 1600 kg 10 m/s 600 kg 0 after collision 1600 kg 3 m/s 600 kg 1. what is the change in momentum of the bus?
The change in the momentum of the bus is 10600 kg-m/s, if bus of 1600 kg crashes with a SUV of 600 kg.
The mass of the bus, m₁ = 1600 kg
The mass of the SUV, m₂ = 600 kg
Initial velocity of the bus, v₁ = 10 m/s
initial velocity of the SUV, v₂ = 0 (at rest)
Velocity of the bus after collision, v₃ = 3 m/s
Velocity of the SUV after collision, v₄ = 1 m/s
The change in momentum(Δp) is given by,
Δp = (m₁v₁ + m₂v₂) - (m₁v₃ + m₂v₄)
Δp = (1600 × 10 + 600 × 0) - (1600 × 3 + 600 × 1)
Δp = 16000 - 5400
Δp = 10600 kg-m/s
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The distance (miles) a rider travels on a mountain trail is given by s(t) = 3t^3 + 2t^2 + 4. What is the rider's acceleration after two minutes?
A.
36 miles/min2
B.
38 miles/min2
C.
40 miles/min2
D.
44 miles/min2
Answer:
To determine the rider's acceleration after two minutes, we need to find the second derivative of the distance function s(t) = 3t^3 + 2t^2 + 4 with respect to time. In other words, we need to find the rate of change of the rider's velocity.
The first derivative of s(t) with respect to time is v(t) = 9t^2 + 4t.
The second derivative of s(t) with respect to time is a(t) = 18t + 4.
Now that we have the second derivative, we can find the acceleration after two minutes.
a(2) = 18(2) + 4 = 40 miles/min^2
Therefore the rider's acceleration after two minutes is C. 40 miles/min^2
Which equation can you use to calculate the mechanical advantage of a simple machine?
MA = delta x1 / delta x0
MA = delta xi - delta x0
MA = delta xi * delta x0
MA = delta x0 / delta x1
The equation that can be used to calculate the mechanical advantage of a simple machine is as follows: MA = delta x0 / delta x1 (option D).
How to calculate mechanical advantage?Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.
The mechanical advantage (MA) is used to analyze the forces in simple machines like levers and pulleys.
Mechanical advantage = Fo/Fi
Where;
Fo = output forceFi = input forceAccording to this question, option D best describes the equation that can be used to calculate the mechanical advantage of a simple machine.
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how did the ancients know the planets were different from the stars? choose one: a. they saw that the planets move with respect to the stars over the course of many nights. b. the planets have a larger angular size in our sky than the stars. c. they observed moons orbiting around the planets. d. they noticed that the planets orbit the sun, while the stars do not.
The correct answer is option d. The ancients realized that stars did not revolve around the Sun like the planets do, and thus arrived at this conclusion.
One of the ways the ancients knew the planets were different from the stars was by observing their motion in the night sky. Unlike stars, which appear stationary in the sky, the planets were observed to move along a regular path relative to the stars. This movement was known as planetary retrograde and could be observed over the course of many nights.
The ancients also noticed that the planets have a larger angular size in our sky than the stars. This made them more easily distinguishable and allowed them to be distinguished from the stars.
Finally, the ancients noticed that some of the planets had moons orbiting them, which none of the stars did. This was a key factor in distinguishing the planets from the stars.
All in all, the ancients knew the planets were different from the stars by observing their movement in the night sky, noticing the angular sizes, and observing the moons orbiting some of the planets. By understanding these phenomena, the ancients were able to catalog the heavenly bodies and give them each a name.
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the volume of a gas is proportional to the temperature of a gas is known as
Charles's law means that the volume of a gas is directly proportional to its absolute temperature
Simple Gas Laws - Boyle's Law, Charles' LawBoyle's Law tells us that the volume of a gas increases as the pressure decreases. Charles's law tells us that the volume of a gas increases with increasing temperature
This is stated by Karl's law, also known as the law of volumes
For a dry gas sample, its volume and Kelvin temperature are directly proportional if the pressure is kept constant
Mathematical representation -
[tex]\begin{equation*} PV=nRT \end{equation*}[/tex] P : is a Pressure(Pa)
[tex]\begin{equation*} V=\frac{nRT}{P} \end{equation*}[/tex] V : is volume ([tex]m^{3}[/tex])
T : absolute temperature (K)
R : gas constant [tex]\begin{equation*} 8.314K^{-1}.mol^{-1} \end{equation*}[/tex]
n : amount of substance of the gas (mole)
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A mass on a string of unknown length oscillates as a pendulum with a period of 6. 6 s. Parts A to D are independent questions, each referring to the initial situation.
What is the period if the mass is doubled?
What is the period if the string length is doubled?
The time period is not depends on the mass. So even the mass is doubled its time period not changes. The period of a simple pendulum is given by the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
A. In this equation, the mass does not appear, so doubling the mass of the pendulum does not affect the period. If the mass of the pendulum is doubled, the period of the pendulum will remain the same.
B. If the length of the pendulum's string is doubled, the period will also be doubled. The period of a simple pendulum is given by the equation T = 2π√(L/g),
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Doubling the length of the pendulum increases the length by a factor of 2, which increases the period by a factor of 2.
What is Pendulum?A pendulum is a weight suspended from a pivot so that it can swing freely. The weight, also known as a bob, is the object that oscillates (moves back and forth) under the influence of gravity. Pendulums can be used to measure time, as in the case of a grandfather clock, or as a simple device to demonstrate harmonic motion.
The force acting on the pendulum is gravity, which is pulling the bob downward. This force is opposed by the tension in the string or rod that is holding the bob. The bob has kinetic energy when it is moving, and potential energy when it is at the highest or lowest point of its swing. As the bob swings back and forth, its kinetic and potential energy are constantly changing.
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a hot rod of mass 1000 kg, starting from rest reaches a speed of 130 m/s in only 29 s. what is the average output power?
A 1000 kilogramme FRICTION is driving at a pace of 130 metres per second. To bring a car to a stop, the brakes are applied. Hence, 223 J is the average output power
What causes road friction?To prevent sliding vehicles or spinning wheels, friction or traction are essential. The act of rubbing one surface or object against another is known as friction. The maximum acceleration and shortest stopping distance are determined by the friction between the tyres of your car and the road.
Is the friction on tyre roads static?Because there is only frictional force acting on the car, friction is acting backwards. The amount of friction that can be applied to a vehicle's tyres to prevent road traction is as high as.
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consider steady one-dimensional heat conduction through a cylindrical or spherical layer. what can you say about the rate of heat transfer through the layer
The rate of heat transfer through the layers of the cylinder will be constant.
There is no heat flow from the sides of the object. The cross-sectional area of a body in the direction of heat flow is constant. This is called one-dimensional heat flow because the temperature of a body is a function of only one dimension (distance from each side of the body). Heat transfer from the hot combustion gases includes forced convection through the hot gas boundary layer, conduction through the cylinder wall, and forced convection (including boiling) into the coolant liquid in head, engine block, and piston.
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A 1.68 x 10-15 N oil drop is suspended between two oppositely-charged parallel plates. The plates are 4.0 cm apart and there is a potential difference of 140 V between them. The top plate is positive and the bottom plate is negative.
a) Sketch the electric field between the plates.
b) Calculate the magnitude of the electric field between the plates.
c) Determine the charge on the oil drop. Include the SIGN.
d) How many electrons is this charge composed of?
A magnetic field is created between these two charged parallel plates. The field indicates a direction from the positive plate to the negative plate.
What is a positively charged plate?Protons are in excess on a positively charged metal plate. From the electron's point of view, a positively charged aluminium.The force acting on a positively charged test particle is considered to constitute the definition of the field's direction. Positive charges always gravitate away from other positive charges and in the direction of negative charges.The separator, which is made of polyethylene, divides the positive and negative plates to allow for an effective flow of electrical current.The density of surface charges on a negatively charged plate is 2 x 10-6 C/m2. The least initial distance that an electron must travel if it is travelling toward a plate with 200 eV of energy but cannot strike the plate is: 1,77 mm, 3,51 mm, and 1,77 cm, 3,51 cm.To learn more about parallel refer to:
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beneath the surface of which moon of jupiter is there the strongest evidence for the existence of a subsurface ocean of liquid water?
Beneath the surface of Jupiter's moon of Europa there exists the strongest evidence for the existence of a subsurface ocean of liquid water.
Based on the icy composition of Jupiter's moon named Europa scientists impose the concept that there is the most likely material to make this magnetic signature is a global ocean of salty water. And the result of this magnetic field still is the best evidence for reporting the existence of an ocean on Europa.
Therefore, beneath the surface of Europa's moon of Jupiter, there exists the strongest evidence for the existence of a subsurface ocean of liquid salty water.
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a proton is placed at point a. the proton is then removed and an electron is placed at point b. what is the direction of the electric force ? give angle relative to x with ccw as positive. what is the direction of the electric force ? what is true of the magnitude of the two forces?
When a proton is removed from point A and an electron is placed at point B, the direction of the electric force will be from point B towards point A. The angle of this force relative to the x-axis would be 180 degrees, with counterclockwise as positive.
As the electron and proton have equal and opposite charges, the magnitude of the force between them will be the same as the magnitude of the force between the proton and the electron.
The magnitude of the force between the proton and electron can be determined by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
In other words, the magnitude of the two forces is equal, but the direction of the two forces is opposite.
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An aluminum rod is 20. 0 cm long at 20°C and has a mass of 350 g. If 10 000 J of energy is added to the rod by heat, what is the change in length of the rod?
Linear expansion refers to the increase in length of a material as its temperature increases. It is typically measured as the change in length per unit length per degree of temperature change. the answer change in length of the rod is approximately 0.014 cm.
This effect is caused by the thermal motion of the atoms or molecules in a material, which increases as the temperature increases. Linear expansion is typically a small effect, but can be significant in certain applications, such as in the construction of bridges or buildings.The change in length of the rod can be calculated using the equation for linear expansion:
ΔL = L0 * α * ΔT
Where:
L0 = initial length (20.0 cm)
α = coefficient of linear expansion for aluminum (about 2.5 x 10^-5 /°C)
ΔT = change in temperature (can be calculated by using the heat added, mass, and specific heat capacity of aluminum)
First we need to calculate ΔT, we know that c(Aluminum)= 0.90 J/g °C
ΔT= Q / (m * c)where:
Q = heat added (10000 J)
m = mass of the rod (350 g)
c = specific heat capacity of aluminum (0.90 J/g °C)
Substituting the values we have,
ΔT = 10000 J / (350 g * 0.90 J/g °C) = 28.57142857142857 °C
Now we can find the change in length,
ΔL = L0 * α * ΔT = 20.0 cm * 2.5 x 10^-5 /°C * 28.57142857142857 °C = 0.014 cm
So the change in length of the rod is approximately 0.014 cm.
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a 20 kg box is attached to a compressed spring that has a spring constant of 300 n/m. the box is resting on a frictionless surface and the spring is compressed 30 cm. how fast will the box be moving after the spring releases the box?
The box will be moving at the speed of 1.16 m/s, when the spring is compressed by 30 cm, if the spring constant is 300 n/m and the mass of the box is 20 kg.
Potential energy stored in the spring during compression of x cm, U = 0.5 kx²
Kinetic Energy possessed by the object moving at a speed of v, = 0.5 mv²
0.5 × 20 × v² = 0.5 × 300 × 0.3²
v² = (0.5 × 300 × 0.3²)/(0.5 × 20)
v² = 1.35
v = √1.35
v = 1.16 m/s
So the box will be moving at a speed of 1.16 m/s.
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two identical air-hockey pucks are moving on an air-hockey table with an x-y axis drawn upon it. puck a has a velocity of 5 m/s at an angle of 35 degrees above the x-axis. puck b has a velocity of 6 m/s at an angle of 70 degrees above the x-axis. which puck has a larger momentum in the x-direction?
Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.
The momentum of a puck is determined by its mass, velocity, and direction. Since both pucks have the same mass, the one with the greater velocity in the x-direction will have the larger x-direction momentum.
Puck A has a velocity of 5 m/s at an angle of 35 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.39 m/s in the x-direction.
Puck B has a velocity of 6 m/s at an angle of 70 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.83 m/s in the x-direction.
Therefore, Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.
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