The orbital speed of Dactyl is approximately 0.0173 meters per second.
To calculate the orbital speed of a Dactyl, we can use the formula:
v = √(G * M / r) where:
v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )
= √ ( 2.98 x 10^-5 m/s^2 )
= 0.0173 m/s
Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.
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1. Similar with the electron,what does the man require to climb up the stairs?
2. When going up the stairs,is it possible to reach the top instantly?(represent man as electron when explaining)
3. What happens to a person attempting to step on the next level with insufficient energy?(represent man as electron when explaining)
4. Can electrons occupy any space between energy levels?
Pahelp po
Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)
You can ascend stairs with the aid of stored muscular energy, and in this case, you obtain potential energy since you gain height while doing so.
None of the voids between the orbits may be occupied by the electron. The rungs of a ladder serve as a commonplace illustration of the Bohr model. You can only be on certain rungs of a ladder as you climb or descend it; you cannot be in the spaces between the rungs. Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)
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N a circuit, when the two conductors leading from the power source touch metal-to-metal, this is called a _____ circuit
In a circuit, when the two conductors leading from the power source touch metal-to-metal, this is called a short circuit
Types of short circuitThere are two types of short circuits, short-to-power and short-to-ground, where electricity takes an unintentional shortcut without going through the intended sensor or actuator.
Short to ground - When there is a short to ground, it refers to the current flowing from the circuit to the car body. Wires can tear and strip their insulation, contacting the body or engine. A short path to ground can result in blown fuses, malfunctioning lights or motors, or “missing” sensors. For example, a scuffed wire might be short to ground, which could cause the headlight fuse to blow, protecting the circuit from overheating, but killing the headlights. Short power - In a wire harness, with many circuits in close proximity, there is a possibility of a short power fault. In this case, wires that are wound or cut can interconnect with each other, allowing current to flow where it is not intended. For example, someone installing an aftermarket device might push a screw through a wire harness, accidentally puncturing and "connecting" some of the wires. Turning on the headlights might send current into the horn, or hitting the brakes might illuminate the taillights.Learn more about short circuit at https://brainly.com/question/18207608.
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The power needed to accelerate a projectile from rest to its launch speed v in a time t is 39.4 W. How much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of
The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.
Calculation-power P = work/time
= ½mv² / t
P' = ½m(2v)²/t
= 4 * ½mv² / t
= 4 * P
so
P' = 4 * 54.9W
= 219.6 W (or 220 W rounded off)
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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Example: A ball rolls off a table 1.5 m high and lands 0.80 m away from the table.
(a) How long will the ball be in the air?
(b) What is the ball's initial horizontal velocity?
(c) What will be the ball's horizontal and vertical velocities when it hits the ground?
Answer:
Below
Explanation:
To fall 1.8 m the time will be found with :
d = 1/2 a t^2
1.5 = 1/2 ( 9.81) t^2 shows t = .55 s
in this .55 s it travels .8 m horizontally
Horizontal velocity = .8 m / .55 s = 1.45 m/s
When it hits the ground , horizontal velocity will still be 1.45 m/s
vertical velocity will be v = at = 9.81 m/s^2 * .55 = 5.42 m/s
An object with a negative charge of 1.2 mC exerts an attractive force of 13.6 N on a second charged object
0.072 m away. What is the charge and polarity (positive or negative) of the 2nd obiect?
Answer: N 0.072
Explanation:
First thing i did was figure out what the negative charge was originaly
The charge and the polarity of the 2nd object is 0.072 N.
What is Force?Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another.
Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces. Lesson 2 and subsequent lessons will cover these particular forces in greater depth.
Action-at-a-distance forces are those that happen even when the two interacting objects are not physically touching each other but are nevertheless able to push or pull against each other despite their physical separation.
Therefore, The charge and the polarity of the 2nd object is 0.072N.
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It will be useful to be familiar with electric dipole moments when you start your study of electrocardiography. An electric diople moment is a vector that points:
An electric dipole moment is a vector that points means it has both magnitude as well as direction.
What does dipole moment electricity entail?A vector quantity is the electric dipole moment. It moves from a negative charge to a positive charge in a clearly defined direction. But it's crucial to keep in mind that only in physics is this convention of direction used.
What is the dipole moment in units?This vector quantity points in the direction of the dipole's positive charge from its negative charge. The SI unit for electric dipole moment is the coulomb-meter (Cm), whereas the C.G.S. unit is the debye.
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Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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When a newly forming star is at its greatest luminosity, what is its energy source?
A. nuclear fusion of hydrogen into helium
B. A newly forming star has no energy source because it does not shine at all until it becomes a true main-sequence star.
C. radioactive decay of unstable isotopes
D. gravitational contraction
The correct option is D, when a newly forming star is at its greatest luminosity, its energy source is gravitational contraction.
Gravitational contraction is the process by which objects in the universe collapse under their own gravity. It occurs when the internal pressure of an object is not strong enough to resist the pull of gravity. This can occur on small or large scales, from the collapse of a gas cloud to form stars to the collapse of entire galaxies.
As an object collapses, its temperature and density increase, and the collapse accelerate due to gravitational potential energy being converted into kinetic energy. This process can lead to the formation of stars, planets, and other objects in the universe. It is also the source of much of the energy released by stars, which powers the universe. Gravitational contraction is an important part of the astronomical theory of the formation of galaxies, stars, and planets.
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The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 4.1 cm. If blood flows through the aortic arch at a speed of 0.30 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration
The centripetal acceleration of the aorta in which the blood travels with the speed of 0.30 m/s is 2.2 m/s²
The diameter of the aorta = 4.1 cm
= 4.1 x 10⁻² m
The speed of the blood through the aorta = 0.3 m/s
The centripetal acceleration of the blood passing through the aorta can be found using the formula,
a = v²/r
where a is the centripetal acceleration
v is the speed of the blood passing through the aorta
r is the diameter of the aorta
Let us substitute the known values in the above equation, we get
a = 0.30² / (4.1 x 10⁻²)
= 0.09 / (4.1 x 10⁻²)
= 0.022 x 10²
= 2.2 m/s²
Therefore, the centripetal acceleration of the aorta is 2.2 m/s²
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a boy pushes forward a cart of groceries with the total mass of 45kg. What is the acceleration of the cart if the net force on the cart is
If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .
How do you calculate mass given acceleration and force?The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.
It is show that,
Mass of cart, m = 45 kg
Net force acting on cart, F = 66 N
Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:
F = ma
a = F/m
a = 66 N/45 Kg
a = 1.46 m/[tex]s^{2}[/tex]
So, the acceleration of cart is = 1.46 m/[tex]s^{2}[/tex] .
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What is the lever arm between F and the pivot point?
A revolving bar that pivots on a fixed point serves as the lever arm between F and the pivot point.
The pivot is the elbow, while the forearm acts as the lever arm. The biceps muscle exerts the effort and bends the forearm in spite of the forearm's weight and whatever additional weight the hand may be carrying. The weight is farther away from the pivot than the effort.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever arm generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
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If I raise the temperature of a material by 5 K, what is the corresponding change in temperature on the Fahrenheit scale?
The corresponding change in temperature on the Fahrenheit scale More than 5°F.
In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.
The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.
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The mass of the Earth is 5.972 x 1024-kg and its orbital radius is an average of 1.496 x 1011 meters. Calculate its linear momentum. (Hint: It takes the Earth 365 days to complete one orbit.)
The linear momentum of the earth when mass and orbital radius are given is calculated to be 17.8 × 10²⁸ kg m/s.
The orbital radius (r) of earth is 1.496 × 10¹¹ m. So, the distance covered by one rotation is,
Distance = 2 π r = 2π (1.496 x 10¹¹) m
365 day when converted into seconds is, 365 × 24 × 60 ×60 s
So, the period of one rotation is 3.15 × 10⁷ s.
The velocity of earth (v) = distance/time = [2π (1.496 × 10¹¹)]/ 3.15 x 10⁷ = 298840 m/s
Linear momentum = mass × velocity = 5.972 × 10²⁴ kg × 298840 m/s = 17.8 × 10²⁸ kg m/s
Therefore, the linear momentum of earth is 17.8 × 10²⁸ kg m/s
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A 1,000-kilogram car traveling with a velocity of +20 meters per second decelerates uniformly for 4 seconds until it comes to rest. Calculate the net force on the
car in Newtons
The required net force on the car with certain mass and travelling with deceleration is said to be 5000 N.
Given that,
Mass of the car m = 1000 kg
Velocity of the car v = 20 m/s
Time t = 4 sec
Net force on the car = ?
According to Newton's second law of motion, it is said mathematically that, F = m a ---(1)
Acceleration a can be written as the rate of velocity.
a = (v-u)/t = (0 - 20)/4 = - 5 m/s² ---(2)
Substituting (2) in (1) we have,
F = m a = 1000 × - 5 = -5000 kg m/s² or -5000 N
Thus, the required net force on the car is 5000 N.
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In which of the following situations is kinetic energy transformed into chemical energy by way of electrical energy?
A. wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
B. wood is burned in a steam engine to drive an electrical generator that in turn provides energy for a motor.
C. charge separation caused by motion and friction among clouds produces lightning, which strikes a tree, setting it on fire.
D. the electric current from a battery is used to separate water molecules into their elemental oxygen and hydrogen components.
The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.
Hence, option A is correct.
Wind turbines convert wind's mechanical energy into electrical energy. In this scenario, a turbine uses the kinetic energy of moving air to create a rotating motion. Wind causes a wind turbine's blades to move or rotate as it blows past them. An engine is powered by these blades.An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. After the job is finished, the object will be travelling at a new, constant speed because energy has been transferred to itTo know more about kinetic energy here
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What is the acceleration at t 2?
The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.
If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.
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The curve to the right shows the radioactive decay of a particular sample of a nucleus called Element A. A particular nucleus survives for the first five hours, what's the probability that particular nucleus of Element A will decal between hours 5 and 10? What is the probability that particular nucleus of element A will decay between 5 and 20 hours?
The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.
What is nucleus?
Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.
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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.
What do you understand by the probability of disintegration of a radioactive substance?The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.
The expression for the disintegration equation is given by
N(t) = N₀[tex]e^{-\lambda t}[/tex] .... (1)
The half-life of the particle for 5 hours is given by
N(5) = N₀/2
Substitute in equation (1) to get
N₀[tex]e^{-\lambda t}[/tex] = N₀/2
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln2/5
The half-life of a particle for 10 hours is given by
N(10) = N₀/4
N₀[tex]e^{-\lambda t}[/tex] = N₀/4
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln4/10
The probability of disintegration is given by:
P = N(5) - N(10)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/4)/(N₀/2)
= (N₀(2-1)/4)/ N₀(1/2)
= 1/2
The probability of element decay between 5 to 10 hours is 1/2.
Now, the half-life of a particle for 20 hours is given by
N(20) = N₀/16
N₀[tex]e^{-\lambda t}[/tex] = N₀/16
[tex]e^{-\lambda t}[/tex] = 1/16
λ = ln16/20
The probability of disintegration is given by:
P = N(5) - N(1\20)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/16)/(N₀/2)
= (N₀(8-1)/16)/ N₀(1/2)
= 7/8
The probability of element decay between 5 to 20 hours is 7/8.
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the driver of a 2000 kg car moving at 30 m/s presses on the break pedal. If the braking force is 10000 N, how far does the car travel before stopping
If the braking force is 10000 N, 90 meters is far the car travel before stopping.
What is force ?When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them. Actual forces can only be created by interaction.
What is energy ?The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.
Given that,
Mass of automobile = 2000 kg
speed = 30 m/s
Braking force = 10000 N
For, The acceleration is
Using newton's formula
Where, f = force
m= mass
a = acceleration
Put the value of F and m into the formula
-10000 = 2000*a
The braking force is visible in the negative sing.
It demonstrates that the force's direction is the inverse of the motion.
a = -10000/2000
a = -5m/s2
For the distance,
Using third equation of motion
[tex]v^{2} - u^{2} = 2as[/tex]
[tex]0- 30^{2} = 2 * (-5) *s[/tex]
s = 90m
Consequently, the automobile went 90 meters before coming to a stop.
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What is the distance a catcher has to throw the ball from home to second base?
To throw out a runner, the catcher must toss the ball 130 feet out, 3 feet behind home plate, up to second base.
What is the explanation for the given answer?In order to throw out a runner, the catcher must throw the ball a distance of c=84.85 ft from home base to second base.
The distance between second base and the back tip of home plate shall be 127 feet, 3 inches.
As a result, although though the bases' "points" are 90 feet apart, the actual distance between each subsequent set of base markers is more like 88 feet (26.8 m).
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A 600 g steel block rotates on a steel table (μk = 0.6) while attached to a 1.0 m long hollow tube. Compressed air fed through the tube and ejected from a nozzle on the back of the block exerts a thrust force of 4.2 N perpendicular to the tube. The maximum tension the tube can withstand without breaking is 50 N. If the block starts from rest, how many revolutions does it make before the tube breaks?
If the block starts from rest, then revolutions that it make before the tube breaks is 0.947 rotations.
What is meant by revolution?When object turns around an internal axis, it is called a rotation. When object circles an external axis, it is called revolution.
Given mass of block = 600 g = 0.6 kg ; Radius of rotation = 1.0 m-long
Given thrust force of 4.2 N
The maximum tension is 50 N.
As thrust is perpendicular to the tube. So, tangential component of the thrust force is Ft=4.2 N and radial component Fr=0
As we know, α = F/m r
= 4.2/0.6 * 1
α = 7 rad/s²
As, m r ω²= 50 N
ω² = 50/ 0.6 * 1.0
ω = 9.128 rad/s
Ф = ω² - ω0²/2α
= (9.128² - 0)/2 * 7
Ф = 5.951 rad
As 1 Radians = 0.1592 Rotations,
5.951 rad = 0.947 rotations.
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In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan
In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.
In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.
The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.
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Air conditioners not only cool air, but dry it as well. Suppose that a room in a home measures 5. 0m×9. 0m×2. 4m.
If the outdoor temperature is 30 ∘C and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? The vapor pressure for water at 30 ∘C is 31. 8 torr
The volume of air in the room. The volume of the room is given by the product of its length, width, and height= 18.015 g/mol.
Calculation-Volume of air = 5.0 m × 9.0 m × 2.4 m = 108 m^3
Next, we need to find the number of moles of water vapor present in the air at 85% of the vapor pressure of water at 30°C.
The vapor pressure for water at 30°C is 31.8 torr. At 85% of this value, the vapor pressure of water in the air is:
Vapor pressure in air = 0.85 x 31.8 torr = 27.03 torr
We can use the Ideal Gas Law, PV = nRT, to find the number of moles of water vapor present in the air.
P = 27.03 torr
V = 108 m^3
R = 8.314 J/mol·K (The universal gas constant)
T = 303 K (Temperature in kelvins)
n = (PV) / (RT)
Find the mass of water that needs to be removed from the air each time the volume of air in the room is cycled through the air conditioner.mass of water = n * M(H2O)
Where M(H2O) is the molar mass of water which is 18.015 g/mol. It is important to note that this calculation assumes that air behaves as an ideal gas and that the temperature and pressure remain constant throughout the room. In reality, the temperature and pressure may vary throughout the room and the process of removing water vapor from the air can also affect the temperature and pressure.
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Why is countercurrent considered more effective?
The gills of fish have a structure known as "countercurrent oxygen exchange" that increases the quantity of oxygen that can be taken up by the blood.
They accomplish this by increasing the amount of time that their blood is in contact with water that has more oxygen while the blood absorbs more oxygen.
The ability to extract a greater amount of the heating fluid's heat is one of the major benefits of counter-current flow. It is significant to notice that at the same terminal temperature, the LMTD value for counter-current flow is significantly higher than for concurrent flow. The streams enter the heat exchanger at the opposing ends in the countercurrent mode.
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The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right)
The magnitude of the ratio of charges q1 to q2 is 23:12.
Electric field lines help us to visualize electric fields. There are two charges in the figure represented by colors red on the left and blue on the right. The red is charge q1 and and blue is charge q2. The number of electric field lines that are emerging from charge q1 and q2 are proportional to their respective charges.
The electric field lines emerging from q1 charge in red are 23 while the electric field lines emerging from the q2 charge in blue are 12. Therefore, the ratio of magnitude of their charges will be
⇒ q1/q2 = 23/12
Therefore, the magnitude of the ratio of q1 to q2 is 23:12.
--The question is incomplete, the complete question is
"The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right), calculate the magnitude of their ratio."--
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Select the correct answer. if a running system has a total change in the heat of 315 joules, and it is running at a temperature of 350 k, what is the entropy?
a. 1.54 joules/kelvin
b. 0.847 joules/kelvin
c. 1.22 joules/kelvin
d. 0.900 joules/kelvin e. 0.762 joules/kelvin
If a running system has a total change in the heat of 315 joules, and it is running at a temperature of 350 k, the entropy will be e. 0.762 joules/kelvin.
Entropy is essential for understanding the behavior of many physical systems, such as in thermodynamics, statistical mechanics, and thermochemistry.
Entropy can be used to analyze the efficiency of a system, as well as its stability and predictability.
This can be calculated by using the formula S = ΔQ/T, where S is entropy, ΔQ is the total change in heat and T is temperature. In this case ΔQ = 315 Joules and T = 350K.
Plugging these values into the equation gives us S = 315/350, which equals 0.762 joules/kelvin. Hence, option e is correct.
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Which of the following objects is not a close approximation of a thermal emitter?
A) hot, thin gas
B) a star
C) a filament in a light bulb
D) you
E) a planet
A thermal emitter cannot be accurately approximated by hot, thin gas.
Devices known as thermal emitters radiate heat from a heated component. Some of them can be used as broadband infrared light sources for applications in spectroscopy, for instance, when the very low brightness is acceptable. Some of them are special types of incandescent lamps, sometimes in a very compact form. Their emission may be fairly continuous, but not always with high calibration accuracy. Unique designs, such as the globar and the Nernst lamp. These sources occasionally have an infrared filter installed that only allows the transmission of infrared light in a specific spectral range.
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In a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s. It is correct to say
Yes, the given statement is correct in a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s.
What connection exists between mass and velocity?Momentum is directly proportional to mass and velocity. The momentum of the object increases proportionally as either mass or velocity are increased. The momentum is doubled for every unit increase in mass or speed.
In first case
Momentum = mass × velocity
Momentum = 140 × 4
Momentum = 560 kg.ms⁻¹
In second case
Momentum = mass × velocity
Momentum = 70 × 8
Momentum = 560 kg.ms⁻¹
In both cases momentum is same so the given statement is correct.
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Two friends A and B started at different times and covered 30km as shown in the graph.
Identify the correct statement from the following.
option 1 - A and B move with the same speed
option 2 - B moves with non-uniform speed
option 3 - A completes his journey early
option 4 - B overtakes A at 11:10 a.m.
Answer:
Explanation:
option 1 - A and B move with the same speed INCORRECT because the lines have different slopes
option 2 - B moves with non-uniform speed INCORRECT because the line for B is straight
option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.
option 4 - B overtakes A at 11:10 a.m. CORRECT. They meet at the 30 km mark at 11:10, which is where the lines intersect.
An astronaut (86 kg) on a spacewalk (outside of the shuttle) throws Space Cat (4.8
kg) at a speed of 25 m/s, relative to the shuttle, at an angle of 40 degrees above horizontal
away from himself. What is the speed of the astronaut after launching our feline
superhero?
The speed of the astronaut after launching our feline superhero is 1.4 m/s.
What is the speed of the astronaut?
The speed of the astronaut is determined from the principle of conservation of linear momentum.
Pi = Pf
where;
Pi is the momentum of the astronautPf is the momentum of the cat86vₓ = 4.8 x (25 cos40)
86vₓ = 91.9
vₓ = 91.9 / 86
vₓ = 1.07 m/s
The vertical component of the speed;
86vy = 4.8 x (25 sin40)
86vy = 77.1
vy = 77.1 / 86
vy = 0.9 m/s
The resultant speed of the astronaut is calculated as;
v = √ ( vₓ² + vy² )
v = √ ( 1.07² + 0.9² )
v = 1.4 m/s
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Initial State: An 8-month old child is at rest at the bottom of a staircase. Final State: The 8-month old child is at rest at the top of the staircase. Notes: The system includes the child and earth. The child uses the steps to slowly crawl up the staircase
Fortunately, even those who have the most severe instances of GBS eventually recover. Some people will still have some weakness when they recover.
The peripheral nervous system, or the network of nerves outside the brain and spinal cord, is mistakenly attacked by the body's immune system in the rare neurological illness known as Guillain-Barré syndrome (GBS). A person with GBS may experience anything from a very mild case with transient weakness to a nearly fatal paralysis that prevents them from breathing on their own.
Anyone can develop Guillain-Barré syndrome. Both sexes are equally prone to the illness, which can affect anyone at any age (although it tends to affect adults and elderly persons more frequently). One in 100,000 people are thought to be affected with GBS each year.
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