Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure.
The radii of their orbits are in the ratio 4:3. At some time, they are aligned, as seen in (a), making a straight line with the star. Five years later, planet X has rotated through 88.0°, as seen in (b).
1. By what angle has planet Y rotated through during this time?

According to the question: the radius of the orbit of Mars is 3.86 × 10^11 m.

What is the Mars?

The radius of the orbit of Mars can be found using the equation for the centripetal force:

F = mv²/r

where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the orbit.

We can rearrange the equation to solve for r:

r = mv²/F

We know the mass of the sun (1.989 × 10^30 kg) and the gravitational constant (6.672 × 10^-¹¹ Nm²/kg²). We also know that the period of the orbit of Mars is 1.96 years. Since the period (T) and the angular velocity (ω) are related by the equation:

ω = 2π/T

we can calculate the angular velocity of Mars:

ω = (2π)/(1.96 years) = 3.24 × 10^-7 rad/s

Finally, we need to calculate the velocity of Mars, which is related to its angular velocity by the equation:

v = ωr

We can solve for v by substituting the equation for angular velocity and the radius of the orbit of Mars:

v = (3.24 × 10^-7 rad/s)(r)

Now, we can substitute the values for m, v, and F from the equation for centripetal force to solve for r:

r = (1.989 × 10^30 kg)(3.24 × 10^-7 rad/s)²/ (6.672 × 10^-¹¹ Nm²/kg²)

r = 3.86 × 10^11 m

Therefore, the radius of the orbit of Mars is 3.86 × 10^11 m.

To learn more about Mars

https://brainly.com/question/1354791

#SPJ1

Although the human eye has a focal length of approximately 22 mm.

Focal length is defined as the distance between the point of convergence of lens and the sensor that recording the image. The focal length of the digital camera lens indicates how much of the image your camera will be able to capture.

This is deceptive because the back of our eyes is curved, the periphery of our optical field contains progressively less particularly than the center, and the scene we discern is the combined result of both eyes. The cornea and eye lens have focal lengths of 2.3 and 6.4 cm, subsequently.

The eye has a nominal focal length of roughly 17mm, but it varies with housing. The nature of human binocular vision, which uses two lenses rather than a single one,

So we can conclude that A person having a myopic eye uses a hollow lens of focal length 50cm.

Learn more about eye here: https://brainly.com/question/1835237

#SPJ1

Answer:

Explanation:

Biscuits are sold in cans of 8, so if you have 1 can, you have 8 biscuits.

If you have 2 cans, you have 8 x 2 = 16 biscuits.

If you have 3 cans, you have 8 x 3 = 24 biscuits.

If you have 4 cans, you have 8 x 4 = 32 biscuits.

If you have 5 cans, you have 8 x 5 = 40 biscuits.

In total, if you have 1 to 5 cans, you would have 8 + 16 + 24 + 32 + 40 = 120 biscuits.

There are 40 biscuits in 5 cans and 8 biscuits in 1 can.

Biscuits are packaged and sold in cans, with each can containing 8 biscuits. This means that if you purchase 1 can of biscuits, you will receive 8 biscuits. If you purchase 5 cans of biscuits, you will receive a total of 40 biscuits, which is calculated by multiplying the number of cans (5) by the number of biscuits in each can (8).

This simple calculation helps you determine how many biscuits you will receive based on the number of cans you purchase, making it easier for you to stock up or plan for a party or event. This information can also be useful if you are trying to budget your food expenses, as you can easily determine the cost of a specific number of biscuits based on the price of a can of biscuits.

Learn more about value of biscuit package here: brainly.com/question/28930945

#SPJ1

The intensity of the smallest detectable signal is 1.36 x 10⁻¹⁰ W / m².

The intensity of the smallest detectable signal is calculated by applying formula relating electric field amplitude and the intensity of light.

Mathematically, the formula relating electric field amplitude and the intensity of light is given as;

I = ¹/₂ ε₀E²₀c

where;

The intensity of the smallest detectable signal is calculated as follows;

I = ¹/₂ ε₀E²₀c

Given;

I = ¹/₂ ( 8.85 x 10⁻¹² ) (320 x 10⁻⁶)² ( 3 x 10⁸ )

I = 1.36 x 10⁻¹⁰ W / m²

Thus, the intensity of the smallest detectable signal is a function of the electric field amplitude and speed of light.

Learn more about intensity of signal here: https://brainly.com/question/27233753

#SPJ1

The type of electromagnetic radiation that has a wavelength just a bit shorter than that of visible light is ultraviolet (option A).

Electromagnetic radiation is the radiation (quantized as photons) consisting of oscillating electric and magnetic fields oriented perpendicularly to each other, moving through space.

These radiation are all encompassed collectively as the electromagnetic spectrum, which is the entire range of wavelengths of all known electromagnetic radiations extending from gamma rays, to X-rays through visible light, infrared, to radio waves.

The components of the EM spectrum and their respective wavelength are as follows:

Therefore, ultraviolet radiation is the component of EM spectrum that has a bit shorter wavelength than visible light.

Learn more about electromagnetic spectrum at: https://brainly.com/question/23727978

#SPJ1

If the numerical value of the equilibrium constant increases as the temperature increases then, ∆S₀ < 0. (option C)

The equilibrium constant, K, is a measure of the relative concentrations of reactants and products at equilibrium. It is related to the standard Gibbs free energy change, ∆G₀, by the equation: ∆G₀ = -RT ln K, where,

Important points:

In conclusion, as the temperature increases, the numerical value of the equilibrium constant increases, and ∆S₀ < 0.

Learn more about Gibbs free energy here;

https://brainly.com/question/9179942

#SPJ4

Answer: Negative acceleration

Explanation: If an object experiences an acceleration an opposite to the direction of motion , the acceleration is negative

The speed of the wave is 0.2 m/s.

What is speed ?

A shift in an object's location, either in direction or speed. How fast something is travelling is determined by how far it has travelled in relation to how long it took. Speed is considered a scalar quantity because it only has a direction and no magnitude.

What is wave ?

An energy-conducting disturbance in a medium known as a wave is one that does not involve any net particle motion. It could manifest as elasto-deformation, a shift in pressure, electric or magnetic intensity, electric potential, or temperature.

Therefore, the speed of the wave is 0.2 m/s.

Learn more about speed from the given link.

https://brainly.com/question/13262646

#SPJ4

Convert: 6,400,000 milligrams (mg) is equal to 6,400 kilograms (kg).

Convert is a process of changing or transforming one type of data into another type of data. This is usually done to make the data easier to use or to make it compatible with other systems. Convert can involve changing the format, type, or structure of a given data set. For example, a file of text can be converted into a different format, such as a PDF, or a spreadsheet can be converted into a different type of spreadsheet, such as an Excel document. Conversion can also be used for data transfer between different systems, such as transferring a file from a computer to a mobile device. Conversion can take place on a computer, or it can be done manually.

To convert milligrams to kilograms, divide the milligrams by 1,000,000.
6,400,000 milligrams / 1,000,000 = 6,400 kilograms

To learn more about Convert
https://brainly.com/question/29217523
#SPJ1

Yes,  the structure has the same moment of inertia about the three axes show below because these axes are equidistant from the structure's center of mass.

What does the moment of inertia mean?

A body's moment of inertia, or resistance to having its speed of rotation about an axis changed by the application of a torque, is a quantifiable measurement of its rotational inertia (turning force). The axis may or may not be fixed, and it may or may not be internal or external.

The direction of the axis usually affects an object's moment of inertia, and the angle between the axis and the center of mass is always a factor. In these instances, the moment of inertia will always be the same if two or more distinct axes are equally spaced from the center of mass.

To learn more about moment of inertia use link below:

https://brainly.in/question/14617883

#SPJ4

On a block A free-body diagram for a given figure, there would be 4 force vectors displayed. As an object with both magnitude and direction, a vector is defined.

As an object with both magnitude and direction, a vector is defined as. Moving an object from one position to another is described by a vector. By using a directed line segment, vector mathematics can be geometrically represented. Generally speaking, the term "magnitude" refers to a size or distance. We can relate the magnitude of a movement to an object's size and motion speed. A thing or an amount's magnitude is determined by its size. A automobile moves more quickly than a motorcycle, just like in terms of speed. Vector and scalar quantities both frequently employ magnitude as a factor.

Learn more about magnitude here

https://brainly.com/question/30033702

#SPJ4

When they are held 0.75 meters apart and have a charge of 2.6E-6 C and a charge of 2.2E-7 C, the electrical force between them is 0.0366 N.

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction. The direction of the force is the point where force is applied, and the application of force is the point where force is applied.

Here,

Qa=2.6*10^-6 C

Qb=2.2*10^-6 C

k=9*10^9

r=0.75/2

=0.375 m

F=k*Qa*Qb/r²

=9*2.6*2.2*10^-4/(0.375)²

=0.0366 N

The electrical force between them when each are held 0.75 meters apart and has a charge of 2.6E-6 C and a charge of 2.2E-7 C is 0.0366 N.

To know more about force,

https://brainly.com/question/13729563

#SPJ1

Answer:

Heavy clothes

Explanation:

If you were to hang out in the thermosphere, though, you would be very cold because there aren’t enough gas molecules to transfer the heat to you. This also means there aren’t enough molecules for sound waves to travel through.

The ball's speed when it rolls around a horizontal circle at height y inside the cone is a/h√gy.

Given the height of cone = h

The radius of cone base = a

The ball is at a height of = y inside the cone

Let the speed of ball = v

From the free body diagram of cone we can see that along x axis the force acting is Rcosθ and along y axis the force acting upward is Rsinθ and downwards is mg where g is gravitational acceleration.

Rsinθ = mg

Rcosθ = Fc is centripetal force = mv^2/r here r is radius of base

Rsinθ/Rcosθ = mg/mv^2/r

tanθ = rg/v^2

From the diagram y/r = h/a. r = ya/h and tanθ = h/a

h/a = ay/h x g/v^2

v^2  = ayg/h x a/h

v^2 = a^2 yg/h^2

v = a√yg/h

Hence the speed of ball is a√yg/h.

To learn more about speed click here https://brainly.com/question/28224010

#SPJ4

Thoughts and behavior that are different from most of the rest of your cultural context.

What is meant by cultural ?

To learn more about cultural refer to

https://brainly.com/question/25010777

#SPJ1

The wavelengths that appear in the emission spectrum are the ones that correspond to the transitions of electrons from a higher energy level to a lower energy level.

Wavelength is a measure of the distance between two successive crests or troughs of a wave. It is expressed in units of length, such as meters, centimeters, or nanometers. Wavelength is a fundamental property of any wave that is determined by its frequency and speed. The speed of a wave is determined by its medium; for example, light waves travel faster in a vacuum than in air. Wavelengths of different types of waves can differ significantly. Examples of different types of waves include sound waves, radio waves, and light waves

In this diagram, the transitions represented are from level 3 to 1, from level 3 to 2, and from level 2 to 1. Therefore, the wavelengths that appear in the atom's emission spectrum are from wavelength 3 to 1, from wavelength 3 to 2, and from wavelength 2 to 1.

The wavelengths that appear in the absorption spectrum are the ones that correspond to the transitions of electrons from a lower energy level to a higher energy level. In this diagram, the transitions represented are from level 1 to 2, from level 1 to 3, and from level 2 to 3. Therefore, the wavelengths that appear in the atom's absorption spectrum are from wavelength 1 to 2, from wavelength 1 to 3, and from wavelength 2 to 3.

To know more about wavelentgh click-
https://brainly.com/question/10728818
#SPJ4

Your true speed if you do not  adjust the speedometer for the new tire size is 68.9 mph.

If you do not adjust the speedometer for the new tire size and speedometer reads 55 mph, your true speed is calculated as follows;

Let your true speed = v

New circumference of the tire / old circumference of the tire = d / 55 mph

The new circumference of the tire is 104 inches

The old circumference of the tire is 83 inches

( 104 / 83 ) = v / 55 mph

v = 55 mph x ( 104 / 83 )

v = 68.9 mph

Learn more about speed here: https://brainly.com/question/6504879

#SPJ1

The complete question is below:

For the change in tires in problem #1 where new circumference of the tire is 104 inches and the old circumference of the tire is 83 inches , what is your true speed if you do not adjust the speedometer

for the new tire size and speedometer reads 55 mph?

(1) There are zero fewer electrons than protons.

(2) If you paired them up, the fraction of the protons that would have no electrons is zero.

The of number of electrons present is calculated as follows;

pq -  eq = q (net)

where;

eq = pq - q (net)

e = ( pq - q(net) ) / q

e = ( 3.5 x 10¹⁶ x 1.6 x 10⁻¹⁹   -   1.1 x 10⁻¹² ) / ( 1.6 x 10⁻¹⁹ )

e = 3.5 x 10¹⁶

The number of fewer electrons than the proton = 3.5 x 10¹⁶ - 3.5 x 10¹⁶ = 0

Thus, if you pair them up, all the protons will have electrons.

Learn more about number of electrons here: https://brainly.com/question/28843308

#SPJ1

Answer:

special change will happen between popcorn and floor it falls on love and attractions and do marriage . they will get baby after 1 year

(a) The entropy of a solid increase as it melts, because the molecules gain freedom of movement.

(b) The entropy of a liquid decreases as it freezes because the molecules lose freedom of movement.

(c) The entropy of a liquid increases as it boils, because the molecules gain freedom of movement.

(d) The entropy of a vapor decreases as it is converted to a solid because the molecules lose freedom of movement.

(e) The entropy of a vapor increases as it condenses to a liquid because the molecules gain freedom of movement.

(f) The entropy of a solid increase as it sublimes, because the molecules gain freedom of movement.

(g) The entropy of the Urea and the water increases as the Urea dissolves in water because the molecules of Urea gain freedom of movement and the water molecules interact with the solute molecules.

Learn more about entropy here:

https://brainly.com/question/14028684

#SPJ4

The box will be going at a speed of 9 m/s when it hits the ground. This is calculated by dividing the work done (18 joules) by the mass of the box (1 kg).

What is mass?

Mass is a fundamental property of all matter, and is usually measured in kilograms (kg). Mass is not affected by gravity, whereas weight is. Mass is related to the inertia of an object, meaning the resistance of an object to changes in its speed or direction of motion. Mass can be conserved, meaning that the total amount of mass in a system remains constant, even if it is transferred from one object to another. Mass is a useful measure for describing the amount of matter in a system, and it is an important concept in physics and chemistry. Mass is also related to energy, since matter and energy are interchangeable. The total amount of energy in a system is equal to the mass of the system multiplied by the speed of light squared. Mass also plays an important role in understanding the behavior of particles, atoms, and molecules.

To learn more about mass

https://brainly.com/question/86444

#SPJ1

Applying the Kirchhoff's Current Law concept will yield the current's value (KCL). The figure's current IC value is 2A.

According to KCL, the total current exiting a node a location where two or more circuit branches converge is equal to the total current entering the node. The intersection of the two branches is shown in the picture at node A and B. The IA and IB current sources make up the two branches. We can infer from KCL that the total sum of currents entering node A equals the total amount of currents leaving node B.

Given the current IA = 7A

the current at the junction C is divided as IC and 5A

So, IC = 7-5 = 2A

The current at junction B is IB flowing upwards along with current IC and IB which is 3+2 = 5A

Hence the current in IC = 2A.

To learn more about current click here https://brainly.com/question/23323183

#SPJ4

The figure shows the polarization of light in the image.

We have to note that light is the form of energy that we can be able to see by the use of the optical eyes that we have. There are several propoerties of light that are also the properties of waves.

We should know that light is an electromagnetic wave and the polarization of waves can only occur in an electromagnetic wave. From A to B in the figure that have been shown, we can see the polarization of waves.

Thus the light waves are polarized.

Learn more about light waves:https://brainly.com/question/23460034

#SPJ1

The Potential along x - axis is [tex]V(x) =\frac{ 4kq }{\sqrt{4x^{2} + s^{2} } }[/tex].

Work is done when electrons move through the component. A portion of the electrons' energy is transmitted to the component. This results in an electrical potential differential, or difference in energy across the component.

The external effort required to move a charge in an electric field from one position to another is known as an electric potential difference, or voltage.

By symmetry, the potential produced by the two charges will be twice that of the single charge. The potential at a distance of

[tex]d = \sqrt{x^{2} +(\frac{s}{2}) ^{2} } \\= \frac{1}{2} \sqrt{4x^{2}+s^{2} }[/tex]

will be the potential as a function of the x-coordinate.

The potential is therefore predicted to be

[tex]V(x) = 2k \frac{q}{d}[/tex]

⇒  [tex]2k \frac{q}{\frac{1}{2}\sqrt{4x^{2} +s^{2} } }[/tex]

⇒  [tex]V(x) =\frac{ 4kq }{\sqrt{4x^{2} + s^{2} } }[/tex]

To learn more about potential difference from given link

https://brainly.com/question/24142403

#SPJ4

According to Newton's second law of motion, 12.8 N is the average force of the Puck

It states that, the rate of change of momentum is directly to the force applied. That is,

F = m(v - u)/t

Given that a 0.16 k/g hockey puck is moving on an icy Horizontal service with the speed of 5 m/s player strikes the Puck by hockey stick after the impact the Puck moves in opposite direction with the speed of 9 m/s of the Puck was the in contact with the stick for 0 points 0.05 s

The average force of the Puck by the stick can be calculated by using the formula above.

Where

Substitute all the parameters

F = 0.16(9 - 5)/0.05

F = 0.16(4)/0.05

F = 0.64/0.05

F = 12.8 N

Therefore, the average force of the Puck by the stick is 12.8 N

Learn more about Momentum here: https://brainly.com/question/25121535

#SPJ1

The critical angle for glass materials with a refractive index 1.60 is 38.7°.

The critical angle in optics is the incidence angle at which the refraction angle is 90 degrees.

It is possible to calculate the link between the critical angle and the refractive index since the critical angle is inversely proportional to the refractive index.

Refractive index = 1/sin C

where C is the critical angle

Hence, C = sin⁻¹(1/refractive index)

For the glass material, C =  sin⁻¹(1/1.60)

C = 38.7°

Learn more about critical angle and refractive index at: https://brainly.com/question/11974403

#SPJ1

Rank in order, from smallest to largest, the torques T1 to T4 about the centers of the circles is T4>T3=T2>T1 .

What is torque ?

Torque is the name for a force that can cause an item to revolve around an axis. Just as in linear kinematics, torque propels an object's rate of motion in the direction of an angular acceleration.

What is circle ?

When a group of points moves in a plane so that their separation from a fixed point remains constant, they form a circle. Both the fixed point and the fixed distance are referred to as "centre" and "radius," respectively.

Torque is just Farr i.e. the radius multiply by the component of force perpendicular to it, or the Force multiplied by the component of radius perpendicular to it. In this case, F and r are perpendicular all the time. So the Torques are:

a)Fr

b)2Fr

c)F2r=2Fr

d)2F2r=4Fr

Now, the order can be easliy assigned. T4>T3=T2>T1

Therefore, rank in order, from smallest to largest, the torques T1 to T4 about the centers of the circles is T4>T3=T2>T1 .

Learn more about torque from the given link.

https://brainly.com/question/17512177

#SPJ4

Answer:

13

Explanation:

im rhe smartest person on the erth i j knos jts 13

O contains 3.93 x 10^22 atoms. In the case of a mass (in grammes) of 2.50 10 2 mol of CdS. To three significant digits, convert the mass to grammes. In 66.6 g of this substance, the amount of NH4Cl in moles (n).

One of a body's fundamental characteristics is mass. Before the discovery of the atom and particle physics, it was widely considered to be connected to the amount of matter in a physical body. Different atoms and elementary particles were found to have different mass numbers (2.50102 mol CdS x 144.4760 g CdS/mol) = 3.61 g CdS (66.6 g NH4Cl / 53.4915 g NH4Cl/mol) = 1.25 mol NH4Cl (8.497102 mol) x (6.022 x 1023 molecules/mol) = 5.117 10

9.1 atoms of oxygen for 1 molecule of Al(NO3)3 (7.25103 mol) x (6.022 x 1023 molecules/mol) x (6.022 x 1023 molecules/mol) = 3.93 10^22.

Learn more about mass here

https://brainly.com/question/18064917

#SPJ4

The complete question is -

Mass (in grams) of 2.50×10−2 mol of CdS. Express the mass in grams to three significant digits. Number of moles (n) of NH4Cl in 66.6 g of this substance. Express the amount in moles to three significant digits. Number of molecules in 8.497×10−2 mol C6H6. Express the amount in molecules to four significant digits. Number of O atoms in 7.25×10−3 mol Al(NO3)3. Express the amount in atoms to three significant digits.