Which planet has more mass than all other planets combined?
A.Saturm
B.Jupiter
C.Neptune
D. Earth​

A lens with a diameter of 100 cm has a theoretical resolution limit of about 0.011 arcseconds for visible light observations.

The resolution of a telescope or lens is determined by its aperture size and the wavelength of the observed light. The theoretical limit of resolution is given by the Rayleigh criterion, which states that the smallest angular separation between two objects that can be resolved is approximately equal to the wavelength of the observed light divided by the aperture diameter.

For a lens of diameter 100 cm, the resolution can be estimated as:

resolution = wavelength / aperture diameter

Assuming a typical visible light arcseconds of 500 nm (5 x 10^-7 m), we can convert this to arcseconds using the formula:

1 radian = 206265 arcseconds

Therefore, the resolution in arcseconds is:

resolution = (wavelength / aperture diameter) * (180 / pi) * 3600 * 206265

resolution = (5 x 10^-7 m / 100 m) * (180 / pi) * 3600 * 206265

resolution ≈ 0.011 arcseconds

So a lens with a diameter of 100 cm has a theoretical resolution limit of about 0.011 arcseconds for visible light observations.

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All of the given options produce an acceleration that are force pairs suggested in Question 5.

When a skier uses her ski poles to start moving downhill then the ski poles exert a backward force on the ground while the ground exerts a forward force on poles and produces acceleration.

Similarly in case B. when a boat propeller spins rapidly in the water the propeller exert a backward force on the water while the water exerts a forward force on propeller and produces acceleration.

In case C. when a baseball player hits a pitched ball with a bat the bat exert a backward force on the ball while the ball exerts a force away from bat and produces acceleration.

In case D. when a party balloon contains rapidly moving helium atoms the helium atoms exert an outward force on the balloon while the balloon exerts an inward force on helium atoms and produces acceleration.

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Answer:

By friction,by contact,by Electrostatic induction

Explanation:

By friction:This is the process whereby electric charges are produced when two surfaces move over another

By Contact :This is when energy is produced when two bodies come in contact with each other

By electrostatic induction: When a charged object is brought closer to another object (not touched), the original object doesn't lose any charge and the other object gets charged.

hope this helps

\(g = \frac{GMm}{r^2}\)

where \(G\) is the gravitational constant and is about \(6.67 * 10^{-11}\)

\(g = \frac{6.67 * 10^{-11} * 25 * 0.55}{35^2}\)

\(g = \frac{6.67 * 10^{-11} * 25 * 0.55}{1225} = 0.000000000000749 N\) :D

Psychological research gives us information about the research that psychologists conduct for systematic study and for analysis of the experiences and behaviors of individuals or groups.

There are two ways in which psychological research is based and that is the research being androcentric and ethnocentric. Examples of this include the theory of personality and the attachment of the theory.

There are many more biases is well in psychological research which are Citation bias, Language bias, and Outcome reporting bias. The citation bias includes whether the research receives citations or not. Language bias includes when research is published in one language over another. The outcome reporting bias includes that when only some outcomes are reported from a study.

So we can conclude that there are two ways in which early psychological research was biased and that are; when research is androcentric and ethnocentric.

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Answer:

B.

Explanation:

The addition of vectors is commutative, so adding in any order will lead to the same result; just draw a straight line from the starting point to the tip of the final vector.

The mass m of the block on the left is 16 Kg , correct answer.

What is friction?

Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.

Think about how a 100 kilogramme block would move.

beginning speed (Vi) = 0 m/s

a stands for speed.

d=displacement=1 m

Time taken is t = 0.53 seconds.

Using the formula:

d=Vi t+(0.5)a t2

1 = (0) (0.53) + (0.5) a (0.53) (0.53)

2

a = 7.12 m/s2

Acceleration for an at wood machine is expressed as

7.12 = (100 - m) (9.8)/ (100 + m)

m = 15.84 kg

m = 16 kg

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Formula for momentum is  45 kg* m/s = (9 kg) (5 m/s). The last option is the correct answer.

This can be defined as the product of the mass and velocity of an object. It is measured in  Kilograme meters per second, kgm/s.

momentum Ρ= mass*velocity

                    =m*v

m=9kg

v=5m/s

Ρ=m*v

45 kg* m/s  =9kg*5m/s

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Answer:

A≈15393.8cm²

Explanation:

Answer:

15,386 cm

Explanation:

A=3.14*70*70

A. Assume incompressible flow

Since volumtric flow rate will be same in both section

Q1 = Q2

A1*V1 = A2*V2

V2 = A1*V1/A2

V2 = 6.9*10^-4*288*10^-2/(3.3*10^-4)

V2 = 6.02 m/sec

B. using bernoulli's equation:

P1/rho + v1^2/2 + g*h1 = P2/rho + v2^2/2 + g*h2

Since pipes are horizontal

h1 = h2

P1/rho + v1^2/2 = P2/rho + v2^2/2

P2 = P1 + (v1^2 - v2^2)*rho/2

P2 = 1.5*10^5 + (2.88^2 - 6.02^2)*1100/2

P2 = 1.35*10^5 Pa

The rate of change in position of an object in any course. Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.

Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.

The primary unit or the S.I. unit of velocity is m/s or ms?¹.

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The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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Electromagnets are used to create a magnetic field which levitates the train above the track, and then by varying the current in the electromagnets, the train can be propelled forward or slowed down or stopped.

Maglev trains use the principle of electromagnetic suspension to levitate and propel the train. Electromagnets are placed on the underside of the train, and these electromagnets are energized with a current that creates a magnetic field.

This magnetic field interacts with the magnetic field of a conductor in the track, which creates an upward force that levitates the train above the track.

Once the train is levitated, the next step is to propel it forward. The same electromagnets that are used for levitation can be used to propel the train forward.

By varying the current in the electromagnets, the magnetic field created can be made to push or pull the train forward or backward. This process is known as magnetic propulsion or maglev propulsion.

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Answer:

C

Explanation:

Since the reactant is higher in an exothermal reaction it will always be higher the product.

(a) True. All sound is produced by vibrating objects.

(b) False. Not all vibrating objects produce sound.

Sound is a form of energy that is produced by the vibration of objects. When an object vibrates, it creates disturbances in the surrounding medium, such as air or water, which propagate as sound waves. These vibrations generate changes in pressure that are detected by our ears, allowing us to perceive sound. Therefore, all sound is indeed produced by vibrating objects.

While it is true that sound is produced by vibrating objects, not all vibrating objects produce audible sound. For sound to be heard, the vibrations must occur within a specific frequency range (generally between 20 Hz to 20,000 Hz) that is detectable by the human ear. Vibrations outside this range are considered infrasound (below 20 Hz) or ultrasound (above 20,000 Hz) and are typically not perceived as sound by humans. So, while all vibrating objects produce some form of vibration, only those within the audible frequency range produce sound that can be detected by our ears.

In conclusion, statement (a) is true as all sound is produced by vibrating objects, while statement (b) is false as not all vibrating objects produce audible sound.

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Hi there!

We can begin by calculating the impulse exerted on the soccer ball:

I = Δp = mΔv

Plug in the given values:

I = 0.45 × 20 = 9 Ns

I = Ft, so:

I/t = F

9/0.1 = 90 N

Taking into account the definition of kinetic energy, the kinetic energy of a 3.50kg block with a speed of 4.00 m/s is 28 J.

Kinetic energy is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.

In other words, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed.

Kinetic energy is represented by the following expression:

Ec = 1/2×m×v²

where:

In this case, you know:

Replacing in the definition of kinetic energy:

Ec = 1/2× 3.50 kg× (4 m/s)²

Solving:

Ec= 28 J

Finally, the kinetic energy of a 3.50kg block with a speed of 4.00 m/s is 28 J.

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Answer:

D. The United States

Explanation:

The charge of a particle in a magnetic field can be determined by measuring the force, velocity, and strength of the magnetic field using the Lorentz force equation. There are various methods to measure the charge, such as using a particle accelerator or mass spectrometer.

In a magnetic field, charged particles experience a force that can be used to determine their charge. This force, known as the Lorentz force, is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the strength of the magnetic field.

To determine the charge of a particle in a magnetic field, you can measure the velocity of the particle and the strength of the magnetic field, and then measure the force experienced by the particle. By rearranging the equation F = q(v x B), you can solve for the charge q.

It is important to note that the Lorentz force only applies to charged particles that are in motion. If the particle is stationary, it will not experience any force in a magnetic field.

In practice, there are many ways to measure the charge of a particle in a magnetic field, such as using a particle accelerator or a mass spectrometer. These techniques involve manipulating the motion of the particle in a controlled way and measuring the resulting forces and velocities to determine its charge.

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Complete question:

How can I know the charge of a particle in a magnetic field?

Answer:

344.8 m/s

Explanation:

Looking for speed of sound  = meters / sec

       2 meters / .0058 seconds = 344.8 m/s

The velocity of the sound wave is 344.8 meter/second.

A sound is a vibration that travels as a mechanical wave across a medium. It can spread through a solid, a liquid, or a gas as the medium. Solids carry sound the quickest, liquids somewhat more slowly, and gases the least slowly.

According to physics, sound is described as a vibration that travels through a material like a gas, liquid, or solid as an audible wave of pressure.

Given parameters:

The microphones are held 2.0 m apart.

it took the sound 0.0058 seconds to travel from one microphone to the other.

Hence,  the velocity of the sound wave is = distance travelled/time taken

= 2.0 meter / 0.0058 second

= 344.8276 meter/second.

Hence, the velocity of the sound wave is 344.8 meter/second ( after rounding  answer to one decimal place.).

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The smallest speed at which cars can move on this track without relying on friction is 31.46 m/s.

The largest speed at which cars can move on this track without relying on friction is 39.10 m/s.

An attribute of an object moving in a circular route is centripetal acceleration. Any object moving in a circle with an acceleration vector pointing in the direction of the circle's center is said to be experiencing centripetal acceleration.

a) The smallest speed at which cars can move on this track without relying on friction is = √(gr₁)

= √(9.8 × 101) m/s

= 31.46 m/s.

b) The largest speed at which cars can move on this track without relying on friction is = √(gr₂)

= √(9.8 × 159) m/s

= 39.10 m/s.

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Answer:

v = 1.63 m/s

Explanation:

Given that,

The mass of a car, m = 1500 kg

The kinetic energy of a car, K = 2004 m/s

We need to find the speed of a car. The formula for the speed of a car is given by :

\(K=\dfrac{1}{2}mv^2\\\\v=\sqrt{\dfrac{2K}{m}} \\\\v=\sqrt{\dfrac{2\times 2004}{1500}} \\\\v=1.63\ m/s\)

So, the speed of the car is equal to 1.63 m/s.

Answer:taking my points !

Explanation:

Answer:

The power rating of the coffee maker is 1.4 kW, which means that it uses 1.4 kilowatts of power when it is in operation. To find out how much energy it will transfer every second, we can use the formula:

Energy transferred = Power × Time

Since we want to know the energy transferred every second, we can set the time to 1 second. Therefore:

Energy transferred per second = Power × 1 second

Energy transferred per second = 1.4 kW × 1 second

We can simplify this by converting the unit of power from kilowatts to watts:

Energy transferred per second = 1,400 watts × 1 second

Energy transferred per second = 1,400 joules

Therefore, the coffee maker will transfer 1,400 joules of energy every second.

Answer:

The correct answer is B

Lichens produce chemicals which dissolve and weather the rocks.

Maximum resultant pulse will be 22.36 cm, if the amplitude of pulse A is 20 cm, and that of pulse B is 10 cm.

Equations of two superimposing waves with a phase difference of π/2, are:

y₁ = a₁sin(ωt) and y₂ = a₂sin(ωt + π/2) = a₂cos(ωt)

The equation of the resultant wave will be:

y = y₁ + y₂

y = a₁sin(ωt) + a₂cos(ωt)

Assuming a₁ = acos(Φ),  a₂ = asin(Φ)

So, y = asin(ωt+Φ)

(a₁)² + (a₂)² = a²(sin²Φ + cos²Φ)

(a₁)² + (a₂)² = a²

a = √((a₁)² + (a₂)²)

a = √(20²+10²)

a = √500

a = 22.36 cm.

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The correct statement that explains the observation using Newton's laws is objects at rest tend to remain in their current state of motion unless acted upon by an unbalanced force, but objects in motion require a continual application of force to stay in motion. Here option A is correct.

According to Newton's first law of motion, an object will continue moving at a constant velocity in a straight line unless acted upon by an external force. In this case, when the cannonball is shot horizontally from the cannon, it initially possesses a forward velocity due to the force applied by the cannon. However, once the cannonball is in motion, the only forces acting on it are gravity and friction.

Gravity acts vertically downward, causing the cannonball to accelerate downward. Friction acts horizontally in the opposite direction to the motion of the cannonball. As the cannonball moves forward, friction opposes its motion and gradually slows it down.

Since there is no force continuously propelling the cannonball forward, and the forces of friction and gravity act on it, the cannonball eventually comes to a stop and falls to the ground. Hence option A is correct.

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The value of a physical quantity is normally expressed as an implied product of a numeric value and a unit of measurement.

There are three categories to consider:

There is no explicit unit of measurement included. Examples of this would include index of refraction of a medium and the specific gravity of a substance (which is ratio of the density of the material divided by the density of some reference material, usually water at some specified temperature). In this category, there is an implied measurement unit of 1 . It is usually not written because 1 times any number is that same number, so it is pointless to write the “times 1”. The value of an index of refraction is simply a number, and that number is all you write for the quantity value. That number is the numerical value of the physical quantity. It is only slightly more complicated for specific gravity, because you are dividing one density by another, and both values should be expressed in the same units of measurement, and the division of one by the other cancels out those units, leaving you with 1 as the overall measurement unit.

For plane angles, there is a relationship between the length s of the arc of a circle, the radius r of that circle, and the angle a subtended by the arc at the circle center:

a = s/r

with the angle a being measured in the unit of radians. (To write the formula for some other angular unit requires incorporating a numeric factor, which is basically a conversion factor from radians to degrees,) Thus, if you have a circle of radius 3 m and an arc of 6 m on that circle, the the angle subtended or formed is:

(6 m)/(3 m) = 2, but we said this is the number of radians, so it is 2 rad.

Notice, we are dividing a length by a length (both the arc length and the radius being lengths), so if we use the same measurement unit for both lengths (regardless that unit being meters, feet, parsecs, or anything else), the two units cancel each other out upon division. This means that the unit we are calling radian is like with specific gravity in #1—it has the value 1. Indeed, we see the formula gives us 2 and we know that it is 2 rad, and the only way we can have them be the same, 2 rad = 2, is if the unit radian is actually just a funny, special name for the number 1. Why do we give the number 1 a special name here, unlike in category #1? That is because some inexperienced people find the concept of radian to be strange and inconvenient. They would rather use degrees, or arcminutes, or arcseconds, or semicircles, or some other such unit, and they all have different sizes. For example, a full circle is 2π rad and it is also 360°. Therefore, since both equal one circle of rotation, they must be equal to each other:

360° = 2π rad. Divide both sides by 360 to get:

1° = (2π/360) rad = (π/180) rad. Now, we saw above that rad = 1, so:

1° = (π/180) rad = (π/180) × 1 = π/180.

Thus, like the radian, the degree is also a number—not 1 though, but rather π/180, which cannot be “thrown away” because π/180 times a number does not yield back the original number.

Thus, 30° = 30 × π/180 = π/6 = π/6 × 1 = π/6 rad.

This is the explanation as to when we express an angle in degrees, we must write the ° symbol or spell out degrees, whereas when we express the angle in radians, we may either explicitly write rad or we may leave it off. Unfortunately secondary school geometry textbooks do not seem to understand this point and typically leave off the mandatory ° symbol. That usually gets straightened out when radians are presented—typically later in the second year of algebra or in trigonometry, but it becomes something necessary for students to unlearn the incorrect and learn the correct. Thus, if an angular unit is included, you can convert that angular unit into a real number and multiply by the numeric part of the physical quantity value to the the numeric value of the physical quantity. (And absence of angular unit implies radians, which have numeric value 1, so the numeric value of the quantity is just the numeric value that is present.

Solid angles work similarly, involving area divided by area. The steradian (sr) is the unit that has value 1.

a. The utility function U(x, y) = x + 2.67y represents Thirsty Ed's utility based on the quantities of 0.15-liter and 0.4-liter containers consumed. Indifference curves can be plotted by fixing utility levels and identifying combinations of x and y that yield the same utility.

b. Ed's budget line, I = pxx + pyy, considers his income (I) and the prices of the 0.15-liter container (px) and the 0.4-liter container (py). The demand for x will be zero if px/py > 0.15/0.4, indicating the prices at which Ed will not purchase any 0.15-liter containers.

a. The utility function for Thirsty Ed can be expressed as U(x, y) = x + 2.67y, where x represents the quantity of 0.15-liter containers and y represents the quantity of 0.4-liter containers. This utility function assumes that Ed's utility depends only on the quantity of water consumed, and the containers themselves yield no utility.

To graph the indifference curves, we can choose different combinations of x and y that give the same level of utility. For example, if we fix U = 2, we can have the following combinations: (x, y) = (1, 0), (0, 2), (2, 0.25), etc. Plotting these points on a graph will give us the indifference curves.

b. Ed's budget line can be graphed by considering his income (I) and the prices of the 0.15-liter container (px) and the 0.4-liter container (py). The budget line equation is I = px*x + py*y.

To find the prices of px and py at which the demand for x is zero, we need to consider the slope of the budget line. If px/py > 0.15/0.4, then the demand for x will be zero. This means that as long as the price of the 0.15-liter container is higher than the price of the 0.4-liter container, Ed will not purchase any 0.15-liter containers.

To graph this, plot the budget line with different values of px and py, and observe the point where the budget line intersects the x-axis (x=0). This will give you the prices of px and py at which the demand for x is zero.

In another diagram, graph the case where px/py < 0.15/0.4 to show that Ed will only purchase 0.15-liter containers.

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The final charge on each sphere is the same as follows:

Since the two spheres are in contact, they will share charges until they reach the same potential.

Let's assume that the initial charge on the left sphere is Q and the initial charge on the right sphere is q. After they are brought into contact, the total charge is conserved, so we have:

Q + q = (Q + q)/2 + (Q + q)/2

Simplifying this equation, we get:

Q + q = 2(Q + q)/2

Q + q = Q + q

This tells us that the final charge on each sphere is the same, which is half of the sum of their initial charges. Therefore:

Final charge on left sphere = Q/2

Final charge on right sphere = q/2

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If our Sun were replaced by a supergiant star, Earth would not be inside the supergiant.

if our Sun were suddenly replaced by a supergiant star, it is unlikely that Earth would be inside the supergiant. Supergiant stars are significantly larger than our Sun, but their size is still relatively small compared to the vast distances between stars.

Earth's current orbit around the Sun would remain relatively unaffected, and it would continue to revolve around the new supergiant star from a safe distance.

Astronomers can measure a star's mass in only certain cases. While it is true that measuring the mass of a star can be challenging, especially for distant or binary systems, astronomers have developed various methods to estimate the mass of stars.

These methods include analyzing the star's spectral properties, studying its motion through gravitational interactions, and observing its effects on neighboring objects. While there are limitations to these techniques, astronomers have made significant progress in understanding stellar masses across different types of stars.

In summary, if the Sun were replaced by a supergiant star, Earth would not be inside the supergiant but would maintain its orbit around the new star. Additionally, although measuring a star's mass can be challenging, astronomers have developed methods to estimate stellar masses in various cases, expanding our knowledge of the universe.

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