two straight rods 50-cm long with axes 1.5-mm apart in a current balance carry currents of 15 a each in opposite directions. what mass must be placed on the upper rod to balance the magnetic force of repulsion?

The overexposure to UV light often result in sunburn but the overexposure to visible light  doesn't result in the same because UV light can pass through all the layers of the Earth and have drastic effects on the human body.

A sunburn is caused by ultraviolet rays. For ultraviolet rays, clouds are semi transparent, so we can get sunburn even on a cloudy day. However, glass is opaque to UV rays. The rays cannot reach them and so we are protected from sunburn.

UV rays are carcinogenic in nature, it is a form of non-ionizing radiation that is emitted by the sun and artificial sources, such as tanning beds. While it has some benefits for people, including the creation of Vitamin D, it also can cause health risks.

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Distant planet having rings have a good likelihood of moons inclined to equatorial plane.

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The mass of the sun is 2×10³⁰kg.

The solar mass (M) is a commonly used measurement of mass in astronomy and is roughly 2×10³⁰kg. It is frequently used to denote the masses of other stars, stellar clusters, nebulae, galaxies, and black holes, among other objects. Its mass is roughly equal to that of the Sun.

Average distance of sun is  1.5 x 10¹¹m

The amount of time it takes for the Earth to make one rotation around the Sun,

T = 1year = 365.25days

T = 365.25×24×60×60s

Gravitational constant, G = 6.67×10⁻¹¹Nm²kg⁻²

Thus, mass of the Sun,

M = 4πr²r³/GT²

M = 4×3.14²× (1.5 x 10¹¹)³/ 6.67×10⁻¹¹(365.25×24×60×60s)²

M = 2×10³⁰kg.

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Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.

The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.

While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).

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Answer:

Radiation

Explanation:

Hope it helps!

Therefore, the maximum acceleration the plane can experience without the cup sliding off the table backwards is 0.30g.

A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across. When there is no relative motion between the object and the surface, static friction is a form of friction force that acts on the body. So, even when the body is moving, it can still act, but there shouldn't be any relative motion.

Consider moving a large, hefty box across the floor. You exert increasing pressure until the box begins to slide. The box is maintained in place by the static friction force. The static friction force pushes back slightly when you push it.

The cup is not moving, therefore The cup has no net force. So, in the x direction, you have the following.

0 = ma - fs

Where an is the plane's acceleration less the static fiction force, and m is the mass of the cup. The static fiction force is zero because there isn't an inclination.

Fs = mus × m × g

Because mus is the coefficient of static friction (provided as 0.30), m is the mass of the cup, and g is gravity at the plane's altitude, rearranging the two equations and finding a should result in the desired result.

a = 0.30g

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A automobile engine that performs 500 j of effort in one cycle and has a thermal performance of 50% needs 1000 j of energy for input each cycle.

Energy can take on a variety of shapes. Energy can take many different forms, such as light, heat, mechanical, electrical, acoustic, chemical, nuclear, or atomic energy.

Energy can only be converted or moved through one form to another; it cannot be created or destroyed. For instance, kinetic energy is produced from chemical energy.

Efficiency = (E out / E in) × 100%

E in = (E out / 50) × 100

E in = (500 / 50) × 100

E in = 1000j

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The amount of work Katrina does on herself and the skateboard is equal to the kinetic energy held by her and the skateboard.

We know that work is said to be done when the force that is applied moves a distance in the direction of the force. In this case we can see that Katrina pushes off a flat sidewalk on her skateboard.

We also know that the energy that is possessed by a body that is in motion is the kinetic energy of the object. We can see that immediately that  Katrina pushes off a flat sidewalk on her skateboard, she is already moving and this would mean that she does have a kinetic energy in the context of our discussion here.

With the knowledge that the work and the energy are equivalent terms it is clear that the kinetic energy would equal the work done.

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Protostar, main-sequence star, red giant, planetary nebula, white dwarf.   When a white dwarf takes gas from a star nearby, a nova is the result. A star that contains too much mass explodes and forms a supernova.

A star needs to be between eight and fifteen solar masses (opens in new tab) in mass in order for it to explode as a Type II supernova. It will eventually run out of fuel at its core, first hydrogen and then helium, just like the sun. The pressure and mass will be sufficient to fuse carbon, though.

Betelgeuse and Antares are the closest stars that are most likely to go supernova in the next few million years. Both are much farther away—more than 400 light years—than the 30 light-year threshold at which the explosion might become dangerous. Eta Carinae, an extremely large star that can be seen in the southern hemisphere, may die even sooner.

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The relationship between the average atomic mass and the percent composition of isotopes found in nature be:  an element's average atomic mass is calculated by adding the masses of its isotopes and multiplying each percentage result by the element's natural abundance.

The average mass of an element's isotopes, calculated based on their mass number and proportion of abundance in nature, is known as the element's average atomic mass.

The average atomic mass of chlorine is 35.5, for instance.

The formula for average atomic mass is:

Average atomic mass =  [(percentage) mass number a isotope + (percent)mass number of other isotope + ...]÷100

Here, percentage refers to the proportion of an element's first naturally occurring isotope that is abundant.

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Water boils at exactly 100°C (212°F) at normal atmospheric pressure. This is known as the boiling point of water, and it is the temperature at which water transitions from a liquid to a gas (steam) at normal atmospheric pressure. The boiling point of a substance is the temperature at which the vapor pressure of the liquid is equal to the atmospheric pressure, and for water, this occurs at 100°C. The boiling point of water can vary depending on factors such as the altitude and the atmospheric pressure, but at sea level and at normal atmospheric pressure, water boils at exactly 100°C.

The work done by Joe is 0J in balancing a stationary coin 2 m from the top of the floor.

The work is done when an object is raised to a height against gravity. Work done depends on force and displacement caused by that force.

W = F. S

Where,

W = work done

F = Force and,

S = displacement caused in an object in the direction of the force.

Since the object has not been raised against gravity, there is no force against which work has been done.

F = 0 N, S = 2 m

W = 0× 2 J

= 0 J

The work done is 0J

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The magnetic field inside the solenoid is increased.

Magnetic Field is the region around a magnetic material of  or a moving electric charge to the within which the force of a  magnetism acts. A pictorial to  representation of to be the relative magnetic field of  which describes how to a  magnetic force is the  distributed within and around a magnetic material.

The magnetic field around the  the current carrying of to a  solenoid is similar to their magnetic field produced by the bar magnet.

When a soft iron bar is the  introduced inside a current of the  carrying solenoid, the magnetic field inside thd left solenoid will increase.

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Not all forces can be out of balance, though.

Option a is correct.

The size and direction of a vector quantity are its two distinguishing features. The magnitude and direction of two vector values of the same kind must be compared when comparing them.

The charging of the hair and the paper's attraction to it. Another illustration of a non-contact force is the proximity of two magnets. Gravity is what causes a ball to fall freely toward the earth. Non-contact forces include things like leaves falling from a tree.

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Answer:

The speed of the bodies will be 2.27 m/s

Explanation:

The picture bellow is the solution of the task, but I will give additional clarification here in case that the steps are not clear enough.

First, we want to calculate the acceleration of the whole system. To do that, we'll need to divide the net force (total force) by total mass. In my diagram, I've drawn all the forces which act on the body, but only those forces which I've circled in blue are relevant since all the other forces cancel each other out. The relevant forces are: force due to gravitational acceleration (g) on m2, component of the force due to g acting in the direction parallel to the plane, and the force of friction which always opposes the motion (aka acts in the opposite direction from the direction in which the body is moving; in this case down the plane). Since m2 pulls m1  up the plane, that will be our positive direction, so m2*g will be positive and other two forces will be negative. Putting all the data into the formula, we get the acceleration a ≈ 4.36 m/s².

Next step is calculating the time m2 takes to reach the ground. We use formula: [tex]s=ut+\frac{1}{2} at^{2}[/tex]  ut will be 0 since the system was initially at rest. When we rearange the formula and put in the values we get that the time t ≈ 0.52 s.

Finally, we get the velocity by multiplying time taken to reach the ground by the acceleration of the system.

The studies of bursting white dwarfs are used to calculate the galactic distances that are used to quantify the expansion of the universe.

The ability to accelerate shows how rapidly an athlete can change their velocity after setting off at rest over a particular amount of time and over a certain distance. It is an essential ability for sprinting as well as other ball games.

An object's motion is altered by a net force; the larger this net force, the more acceleration there is. To speed at the same speed as less massive objects, higher net forces are needed.

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The complete question is-

The galactic distances used to measure the acceleration of the universe are determined by observations of

a) trigonometric parallax

b) line broadening

c) Cepheid variable stars

d) exploding white dwarfs

If the distance separating Objects 1 and 2 is doubled, then the new gravitational force will be 72.0 units.

The force of attraction that operates on all matter is known as gravity, or gravitational force in mechanics. It is by far the weakest known force in nature and plays no role in determining the internal properties of everyday matter. It controls the orbits of objects in places, the structure, and the evolution of stars, galaxies, and the universe as a whole.

On Earth, every object has a weight, or downward gravitational force, proportional to its mass, and the mass of the Earth acts on them. The acceleration that gravity causes in a falling item serves as a gauge of its strength. The acceleration of gravity at the Earth's surface is around 9.8 meters per second (32 feet) per second. For each second her body is in free fall, its velocity increases by about 9.8 meters per second. On the moon, the acceleration of a free-falling object is approximately 1.6 meters per second.

The gravitational force among two objects can be written as:

F = G×m₁×m₂/r²

Where G is the gravitational constant, m₁ and m₂ are the masses of both objects and r is the distance between them.

Now, we have that F = 18 .0 units.

Let's change r to 2r, the new force is:

F' = G×m₁×m₂/(2r)²

F' = G×m₁×m₂/4r²

F'/F = (G×m₁×m₂/4r²)/G×m₁×m₂/r²

F' = 4 F

F' = 4 × 18.0

F' = 72 units

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Oxygen and carbon dioxide are examples of substances that exist as gases at room temperature, while water and mercury metal are examples of substances that exist as liquids. At room temperature, the majority of metals are solids. These three states are all possible for substances.

i) Solids are typically more dense than liquids, which are more dense than gases. There is not much room between the particles in the solid, which are touching. Although there are occasionally gaps between the particles in a liquid, they typically still touch. Large gaps exist between the gas particle.

ii) Because of the variations in their molecules, matter can exist in various states. Solids, for example, are predetermined in terms of size and shape. Contrarily, liquids can be molded to fit the shape of the container they are in because they are flexible. Last but not least, gases diffuse to completely fill the space.

iii) Solids are discrete in their shape and volume. Although they take on the shape of the container, liquids have a specific volume. The shape and volume of gases are ambiguous.

Depending on the shape of their container, a liquid and a gas will adapt their shape. In order to fit inside the container, a gas will change volume. In general, gases are less dense than liquids, which are less dense than solids. There is barely any distance between the particles in the solid from one another.

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A collision occurs between two identical skateboards that are initially at rest and a 4-kg skateboard travelling at 8 m/s. After a collision, if the two hoverboards keep together, the s = 32 m/s.

In physics, collision, often known as impact, is the abrupt, violent coming together in close proximity of two entities, such as, for instance, two pool cues, a golf course and a projectile, a hammer and just a nail head, or two fish road cars if being paired together, or a dropping object and just a floor.

There are three different kinds of collisions: collisions with perfect elastic properties. inflexible collision collision with perfect inelasticity. Every collision involves not one but three collisions: the vehicle contact, the physical collision, or the internal colliding (inside your body).

p = m*v

m = 4 kg

v = 8 m/s

speed = 4kg * 8 m/s

speed = 32 m/s

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According to the given statement 25 grams was the original mass of the sample.

The mass of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a chair, an bed, a baseball, or glass, and even air. The mass of a thing determines whether it is light or heavy.

The first order kinetics rate rule has the following expression:

Where k = rate constant = 0.178 days, t = 2.303/k * log(a/(a - x))

15 days have passed since the sample began, so t 1

a = the reactant's original or initial amount; a - x = the amount left over after the decay process; 1.73g

After plugging in all the values, we get 15=(2.303/0.178) A/1.73 = 10 * log (a/1.73) log (a/1.73) = 15 * 0.178/2.303 ( 15*0.178/2.303)

a = 1.73 * 10^( 2670/2303)\sa

= 1.73 * 10^(1.15935736)\sa

= 1.73 * 14.433024871\sa

= 24.9691330268

Consequently, a weighs about 25 grams.

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The battery's negative and positive terminals have a 6J/C potential difference. This depicts a separation between a positive charge and a negative charge.

Calculation:

W = qV

W/q = V

42/7 = V

V = 6J/C

For every 1 Coulomb of charge that passes between a 12 volt battery's negative and positive terminals, 12 Joules of electric potential energy are produced. Charge to potential energy change changes in a 12:1 ratio. The difference in potential energy for two Coulombs of charge would therefore be 24 Joules.

The cell is charged by current I that comes from another source. In this situation, the terminal potential difference is Ir times bigger than the emf, hence V=E+Ir.

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The gas has a final volume of 2.4L.

According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when maintained at a low volume. The molecule of a gas receive more energy when heated, causing them to move more quickly. This results in increased pressure and more blows on the container's walls.

Briefing:

Given, Initial Volume of the sample = 3L

Initial temperature of the sample, T₁ = 200° C

                                                        = 200 + 273

                                                        = 473 K

Final temperature of the sample, T₂ = 100° C

                                                           = 100 + 273

                                                            = 373 K

By Gay-Lussac's Law is a variant of the general gas equation,

From the above relation,

[tex]\frac{V_{1} }{T_{1} } = \frac{V_{2} }{T_{2} }[/tex]

[tex]V_{2} = \frac{V_{1}*T_{2} }{T_{1} }[/tex]

Substituting values,

[tex]V_{2}[/tex]= (3x 373) / 473

   = 1119/473

   = 2.4L

Hence ,it is found that the final  volume of the gas is 2.4L

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As the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become wider.

Reduced soil fertility due to erosion can have a detrimental impact on agricultural output. Additionally, it pushes soil-saturated water downstream, which may result in thick layers of sediment that obstruct rivers and streams from flowing freely and finally cause flooding. The likelihood of soil erosion reoccurring increases after it occurs.

When rain or snowmelt shifts the soil on the ground, water erosion occurs. More soil is moved or transported away when there is more water running across the ground. Water erosion is particularly dangerous on bare land, including farm areas that have been cleared of crops after harvest.

For instance, water erosion leads to soil structure loss, surface crusting, waterlogging, a decrease in organic content, and the dissolution of stable aggregates. Soil resources quickly degrade in the face of such a barrage. Farming gets increasingly expensive and complex.

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6.94 mins time will it be until there are 60 grams of the element remaining.

Given data :

F is the future amount (we want it to be 60)

P is the present amount (580 now)

r is the rate of decay per minute (27.9% = 27.9/100 = 0.279)

t is the time it takes (what we want to find)

Substituting, we get our answer to be:

F = P [tex]( 1 - r )^{t}[/tex]

60 = 580 [tex]( 1 - 0.279 )^{t}[/tex]

60 =  580 [tex](0.721)^{t}[/tex]

0.1034 = [tex]0.721^{t}[/tex]

Ln ( 0.1034) = Ln [tex](0.721^{t} )[/tex]

Ln ( 0.1034)  = t x ( 0.721)

t = [tex]\frac{Ln(0.1034)}{Ln(0.721)}[/tex] = 6.94

So, it is going to take about 6.94mins, rounded to nearest tenth (1 decimal), we have:  About 6.94mins

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An object's position, velocity, acceleration, and direction can all be used to define motion. If an object's position with relation to a fixed point changes, then the object is moving. Even objects that seem to be at rest are in motion.

An object will descend toward the ground with increasing speed as it does so due to gravity. In actuality, an object's velocity rises by 9.8 m/s2, thus by the time it begins to fall, it has a velocity of 9.8 m/s.

Because air resistance slows the speed of the falling object, acceleration during a fall is less with air resistance than it is with gravity.

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When F1 and F2 are given , then acceleration vector, a(x, y) is calculated as = (-1,5) m/s².

In science, 'force' has a precise meaning and we can say that a force is a push or a pull. A force is exerted on an object by another object.

Newton's 2nd Law is given by:

F = m*a

Where F is a vector and mass is scalar therefore, acceleration is also a vector. As Vector/Scalar = Vector.

Now, F1 + F2 = F(net)

So, (3-5, 4+6) = (x1+x2, y1+y2)

F(net) = (-2, 10)

F(net) = m*a

Then, acceleration = F(net) /m

= (-2/2, 10/2)  = (-1, 5)

Acceleration vector, a(x, y) = (-1,5) m/s².

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Answer:

C

Explanation:

There are '3'   CO3' S      3 x 3 = 9  oXYGEN ATOMS

The total number of oxygen atoms indicated by the formula Fe₂(CO₃)₃ is 9. Hence, option (c) is correct.

A chemical formula is a way to describe the chemical ratios of the atoms that make up a specific chemical compound or molecule in chemistry. Chemical element symbols, numbers, and occasionally other symbols, such as parentheses, dashes, brackets, commas, and plus (+) and minus (-) signs, are used to represent the chemical elements.

These can only include one typographic line of symbols, which may also include subscripts and superscripts. A chemical formula has no words and is not the same as the chemical name.

Given  chemical formula is:  Fe₂(CO₃)₃.

The total number of oxygen atoms in the formula = 3×3 = 9.

Hence option (c) is correct.

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Answer:

As the patient passes through the CT imaging system, a source of x rays rotates around the inside of the circular opening. A single rotation takes about 1 second. The x-ray source produces a narrow, fan-shaped beam of x rays used to, irradiate a section of the patient's body.

The patient table is continually pushed through the gantry's hole as the x-ray tube revolves around the patient. This enables the acquisition of a continuous set of attenuation data in a helical or spiral manner; as a result, this generation of scanner is known as a helical/spiral scanner.

A narrow x-ray beam is quickly spun around a patient's body during a procedure known as "computed tomography," or CT. This produces signals that are then analyzed by the machine's computer to create cross-sectional images, or "slices," of the patient's body.

These sections, which are known as tomographic pictures, can provide a clinician with more specific information than traditional x-rays. A three-dimensional (3D) image of the patient can be created once a number of successive slices have been collected by the machine's computer. This makes it easier to identify the patient's basic anatomy as well as any potential tumors or anomalies.

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Answer: (1a) The magnitude of the centripetal acceleration is 31.4 m/s^2, and the direction is towards the center of the circular motion.

(2a) The astronaut is experiencing 31.4 m/s^2 / 9.8 m/s^2 = 3.22 g's.

(3a) The torque needed to bring the centrifuge to a stop is (5500.0 kg * 31.4 m/s^2 * 20.0 m) = 3,420,000 N * m.

2:

(2a) The period of the pendulum's motion is 0.20 m / 0.10 m/s = 2.0 seconds, and the frequency is 1 / 2.0 s = 0.50 Hz.

(2b) The graphs of velocity and acceleration would be 0.5 seconds out of phase with the displacements shown.

(2c) The acceleration due to gravity on the surface of the planet is 0.10 m/s^2 / 9.8 m/s^2 = 1.02 g's.

Explanation: