A ball at the end of a string of length 2m rotates at a constant speed in a horizontal circle. It makes 7 rev/s.
What is the period of the ball’s motion? Answer in units of s.

second part
What is the frequency of the motion? Answer in units of Hz.

third part
What is the ball’s angular velocity? Answer in units of rad/s.

The total revenue of the profit-maximizing natural monopoly is P2 x Q2. The Option B is correct.

In economics, natural monopoly is a form of monopoly that exists due to the high start-up costs or powerful economies of scale of conducting a business in a specific industry, which often result in significant barriers to entry for potential competitors.

The firm with a natural monopoly might be the only provider of a product or service in an industry or geographic location. This type of monopolies can arise in industries that require scarce raw materials, technology or similar factors to operate.

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Answer:It involves making observations on the phenomenon being studied, suggesting explanations for the observations, and testing these possible explanations, also called hypotheses, by making new observations. A hypothesis is a scientist's proposed explanation of a phenomenon which still must be tested.

Explanation:

Answer: they both observations and test hypotheses.

Explanation:

Because the scientific method involves observing the phenomenon being researched, putting up explanations for the observations, and testing hypotheses, it is employed in both physics and chemistry.

The work done by the motor that raises 20 kg mass a distance of 1.5 m in 6 seconds is 1.25 J

a = v / t

v = d / t

a = Acceleration

v = Velocity

t = Time

d = Distance

d = 1.5 m

t = 6 s

v = 1.5 / 6

v = 0.25 m / s

a = 0.25 / 6

a = 0.042 m / s²

W = F d

F = m a

W = Work done

F = Force

m = Mass

m = 20 kg

W = m a d

W = 20 * 0.042 * 1.5

W = 1.25 J

Therefore, the work done by the motor is 1.25 J

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1875 N*m an object have from its motion if its mass is 150-kg and it is moving at a speed of 5.0 meters per second.

The correct option is  E.

The power an object has as a consequence of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in case of applying a force. After the work has been finished, energy is transferred to the item, which further moves at a new, constant speed.

The idea of kinetic energy was first proposed in 1849 by William Thompson, who subsequently rose to the position of Lord Kelvin. The amount equal to one-half the object's mass times the square of its velocity is now what we refer to as the kinetic energy of an object.

KE = 1/2*m*v²

KE = 1/2*150kg*(5 m/s)²

KE = 75kg * 25m²/s²

KE = 1875 kg*m²/s²

KE = 1875 N*m

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The complete question is -

Approximately how much kinetic energy does an object have from its

motion if its mass is 150-kg and it is moving at a speed of 5.0 meters per

second?

A.  400 J

B.  1,900 J

C.  3,800 J

D.  57,000 J

E.   1875 J

The correct answer is 13.2 kgm/s

In the question we are given,

Mass = 6 kg

Velocity = 2.2 m/s

According to the Newton's second law of motion it states that the momentum is the product of mass and the velocity of the particle. This Momentum can be said as the measure of motion of the object. It is a vector quantity and it has both magnitude and direction. It can be transferred. As the momentum of the system is conserved when no external force is applied on the system.

In this case,

Momentum (p) = mv

Here,

m = mass

v = velocity

Momentum = 6 * 2.2

Momentum = 13.2 kgm/s

Therefore, the momentum of the 6 kg ball moving with velocity of 2m/s is 13.2 kgm/s.

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It is worth noting that the Sun's escape velocity is estimated at 615 km/sec, which is more than 50 times larger than H (the average velocity of a hydrogen atom at the surface of the sun) at the Sun's surface.

Our own sun will enter the red giant phase in around five billion years. Its outer layers will engulf Mercury, Venus, and Earth as it grows. Scientists are still discussing whether our planet will be devoured or will pass dangerously near to the Red giant sun.

The Sun is the central star of the Solar System. It is a nearly flawless orb of hot plasma, heated to incandescence in its centre by nuclear fusion events.

It isi to be noted that the Sun, the most essential source of energy for life on Earth, emits this energy primarily as light, ultraviolet, and infrared radiation.

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If the distance between them is doubled, the gravitational force will be one-fourth of its current magnitude.

Gravitational = GM 1 + G + M 2, where G is a constant. The items are M1 and M2, and their separation is r. The gravitational force would only be one-fourth as strong as it is currently if the distance between them were to increase by four times. Gravity is the force that pulls objects toward the centre of a planet or other object. The gravitational pull of the sun keeps every planet in its orbit around it.

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The given output indicates that it is a crossover cable and cable is functioning correctly. Therefore, options (B),  (C) are correct.

A crossover cable is a cable that is used to connect computing devices together directly. This cable can be used to connect two devices of the same type such as two computers or two switches to each other. By contrast, straight-through patch cables can be used to connect devices of different kinds.

The crossover cable can intentionally connect to transmit signals at one end to the receive signals at the other end.

Network devices support auto MDI-X capability, wherein a patch cable is used in place of a crossover cable, and the receive and transmit signals are reconfigured within the device to yield a working connection.

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The final velocity of the projectile is 313.5 m/s.

Speed is the directional pace of an item in motion as an illustration of its rate of exchange in the role as determined from a specific frame of reference and as measured by using way of a selected general of time.

Calculation:-

height = 50 m

initial velocity  = 10 m/s

g = nine.8 m/s

V² = u² +2aS

V² = 10² + 2×nine.8 × 50

V² = a hundred × 19.6 × 50

V²   = 98000 m/s

V = 313.five m/s

Average velocity is defined because the change in role or displacement (∆x) divided by the time durations (∆t) in which the displacement takes area. The common pace may be effective or negative relying upon the signal of the displacement. The SI unit of average speed is meters in keeping with 2nd (m/s or ms-1).

Velocity is calculated via dividing your displacement (a vector pointing out of your initial position for your final function) thru the entire time; the average pace is calculated through manner of dividing the overall distance you traveled by using the total time.

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It's harder to stop the airplane taking off.

According to the Newton's third law is for every action, there's an equal and contrary response. The statement means that in every commerce, there's a brace of forces acting on the two interacting objects.

The size of the forces on the first object equals the size of the force on the alternate object.

When we try to stop the object, the same object will ply an contrary force on us.

As we know that force = mass x acceleration.

In these two cases,

The mass of airplane is further than rolling ball and the acceleration by which the airplane takes off is veritably much high than that of a ball.

The force wielded by the airplane will be further than the force applied by the ball.

Thus, it's harder to stop an airplane taking off than the rolling ball because the force applied to stop airplane will be advanced than the ball.

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According to the given statement After t = (√29+3) seconds and with v = 10√29 m/s velocity will it hit the sea.

The displacement how an object and particle experiences with regard to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of flow speed (also known as speed). Instead, the magnitude of velocity can be expressed in centimeters per second (cm/s).

Initial height = 100 m

Initial velocity = 30 m/s

g = 10 m/s²

To Find

Time taken and final velocity

Solution

v²-u² = 2as & v = u + at

Assuming downward motion to be positive

According to the Question :

⇒ v²-u² = 2as

⇒ v²-30² = 2(10)(100)

⇒ v² = 900+2000

⇒ v² = 2900

⇒ v = √2900

⇒ v = 10√29 m/s

So then the time taken would be

⇒ v = u + at

⇒ 10√29 = (-30) + 10t

⇒ (10√29+30)/10 = t

⇒ t = (√29+3) sec

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Answer:

The fruit, orange, came first. The color was named after the fruit.

From the word "Orange" we know that it was used for the first time to refer to the fruit in the 13th century and it was not until 1542 when it began to be used to name the color.

(This was almost 300 years later)

It is known that oranges are the fruit of the sweet orange tree, which is a tree that belongs to the Citrus genus of the Rutaceae family.

¡Hope this helped!

The correct definition of physical science is that of the study of matter and energy, and the relationship between matter and energy.

Physical science is the methodical study of both the inorganic world, as opposed to biological science's investigation of the organic world. Astronomy, physics, biology, and Earth sciences are the four main subfields that make up physical science.

These are further broken down into fields & subfields. The first four of these fields are covered in this article along with their historical development, paying careful attention to their scope, primary concerns, and methodologies.

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The velocity of the frame S' is 0.3 m/s.

In dynamics, a reference frame—also known as a frame of reference—is a set of graduated lines that are symbolically attached to a body and used to describe the position of points in relation to it at perticular instant of time.

Given parameters:

The space-time coordinates of two events 1 and 2 in a frame S are:  x₁= 24 m, t₁ = 8 x 10s and x₂ = 48 m, t₂ = 4 x 10s.

Hence, space difference between two events in frame S is: x₂ - x₁ = 48m - 24 m = 24 m.

Time difference between two events in frame S is: t₂ - t₁ = 4 x 10s -  8 x 10s = - 4×10 s.

As in the frame S' in which both the events occur simultaneously:

 x₂ - x₁ = v | t₂ - t₁| { where v = velocity of the frame S'}

⇒ 24 = v ×4×10

⇒ v = 0.3 m/s.

Hence, the velocity of the frame S' is 0.3 m/s.

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In an optics experiment, the three possible reasons to account for the absence of an image on the screen. are:

Image out of focus - The picture is frequently just out of focus. Perhaps you over-focused on one area, making it impossible for you to see a clear picture. Some folks struggle to locate a clear image and repeatedly turn the focus knob. The focus can be lost considerably more readily at higher magnifications, which is a special issue.

Incorrect focus plane - It's possible that you can see a clear image, but not of the thing you're trying to see. In this instance, it's likely that you were more interested in the dust on the slide's or cover glass' surface than the object itself. With the low magnification objective in place, it is preferable to start anew in this situation and refocus.

Lastly, Uncentered slides - This is yet another frequent issue. Are you attempting to study a region of the slide that does not include the object of interest or are you truly gazing at the specimen? Perhaps you cannot see anything because you are looking at a region of the slide that is completely devoid of specimens.

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Answer:

A

Explanation:

B and C are being accelerated , thus not in equilibrium

The position vector as a function of time is given as; [tex]r = \frac{7}{3} t^{3} i + \frac{3}{2} t^{2}[/tex]

We know that the position of an object can be obtained as the integral of the position of the object. In this case, we have the vector given as; v = 7t^2î + 3tĵ.

We would then need to integrate the velocity vector as a function of t (time) and then obtain the position of the object as a function of time.

Going about this, we would have;

v = [tex]\int\limits^t_0 {7t^{2}i + 3tj } \, dx[/tex]

When we carry out the integration we are left with the position r as;

[tex]r = \frac{7}{3} t^{3} i + \frac{3}{2} t^{2}[/tex]

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Inertia depends upon the mass of the object, therefore, the object with the highest mass will have the greatest inertia. Therefore, option (3) is correct.

The Law of inertia states that an object will continue to be in a state of rest or in a state of motion unless an external force acts on it. All objects would come to rest and moving objects only continue to move in the absence of external power.

When the resistance is provided by the body to continue to be in uniform motion until an external force acts on it. When the resistance is provided by the body to continue the motion in the same direction until an external force acts on it.

When the resistance is provided by the body to continue in the state of rest unless an external force acts on it.

Inertia does not depend on velocity, it depends on density and mass. Inertia is directly proportional to mass and density. The more the mass of an object more is the inertia of the object.

Therefore, the object of mass 25 Kg will have the greatest inertia.

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Answer:

Fluid friction describes the friction between layers of a viscous fluid that are moving relative to each other. Lubricated friction is a case of fluid friction where a lubricant fluid separates two solid surfaces.

Explanation:

Fluid friction is the resistance to an object's motion through a liquid or gas. When the motion is occurring in a liquid, it is referred to as viscous resistance. As an example, when an object falls through water, its speed reduces due to fluid friction acting on it.

Answer:

How does Buddhism differ from Hinduism?

A.

Hindus believe in the notion of karma, while Buddhists reject it.

B.

Hinduism originated in India, while Buddhism originated in Sri Lanka.

C.

Hindus believe in the process of reincarnation, while Buddhists don't.

D.

Hinduism is polytheistic, while Buddhism doesn’t have gods and goddesses.

Explanation:

The current in a circuit that has a resistance of 30 ohms and a power of 2 watts is 0.2581 Ampere.

Solution:

The power in an electrical circuit is given by the equation:

[tex]P = I^{2} R[/tex]

I = Current in the circuit

R = Resistance offered by the circuit

P = 2 watts

R = 30 Ω

I =?

2Watts = [tex]I^{2}[/tex]x30Ω

[tex]I = \sqrt{\frac{2Watts}{30} }[/tex]

I = 0.2581 Ampere.

The current through a resistor is inversely proportional to its resistance value. Resistance is a measure of resistance to the flow of current in an electrical circuit. Resistance is measured in ohms, represented by the Greek letter omega.

Electric current is the flow of charge through matter. The material or conductor through which current flows is often a metal wire, but current can also flow through some gases, liquids, and other materials. The circuit can be wired in two ways. Current is the speed at which charge flows. Resistance is the tendency of a material to resist the flow of electrical charges.

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The compass needle oriented in the diagram , its been shown that  D ) its north pole is attracted to the south pole of the magnet .

As it can be observed in the given image , the needle is being attracted to the magnet's pole .

Since , field lines are getting inside the magnet at that pole and rising out , hence that pole will be a south pole .

If the needle is being attracted to that pole , that means north pole will be attracted to the magnet

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The sister’s average velocity is 2m/s east. Option B.

Shelly gives her sister a 5-meter lead in the bike race, and the race ends 15 meters east of Shelly's starting point. It takes 5 seconds for my sister to finish the race. Average velocity is calculated by dividing displacement by total time. Average speed is calculated by dividing the total distance traveled by the total time.

calculation:-

Total distance Shelly's sister traveled = 15- 5 = 10

time = 5sec

velocity = displacement / time

= 10/2

= 5 m/s east.

Average acceleration represents the rate at which velocity changes. Divide the change in velocity by the elapsed time to find the average acceleration of something. Velocity is the speed at which the position changes. Average velocity is the rate of change in displacement or position over time. The difference between velocity and relative velocity is that velocity is measured with respect to a reference point relative to another point.

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The overall momentum of the ball is 100kgm/s.

The impact on the induced velocity in the propeller plane is most pronounced close to the blade tips. The original blade element momentum theory does not account for the effect of vortices emitted from the blade tips into the slip stream on the induced velocity field. The induced velocity dispersion along the propeller is greatly influenced by these tip vortices, which produce a number of helical structures in the wake. It uses a tip-loss or correction factor, F, to make up for this shortcoming.

[tex]P= Mv\\\\P=25 * 4\\\\P=100Kgm/s[/tex]

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The mass of the boat is 160 .37 kg.

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

Force = mass × acceleration

mass = force/acceleration

        = 85 / 0.530

       = 160 .37 kg

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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To increase the time the athletes are made to fall either on a cushioned bed or sand bed

In order to increase the time of the athlete's fall to stop after making the jump. This decreases the rate of change of momentum and hence the force.

In a high jump athletic event, the athletes are made to fall either on a cushioned bed or sand bed to to increase the time of the athlete's fall to stop after making the jump . If the time elapsed increases , the force will decrease . Due to decreases of the rate of change of momentum , the force will decrease .

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The time taken to burn off the energy in a slice of apple pie, which energy content is 1680 kJ (400 food calorie) is 2.07 hours

W = F d

W = Work done

F = Force

d = Distance

W = 1680 KJ

F = 45 N

d = W / F

d = 1680 * 10³ / 45

d = 37.33 * 10³ m

d = 37.33 km

v = d / t

v = Velocity

d = Distance

t = Time

v = 5 m / s

t = d / v

t = 37.33 * 10³ / 5

t = 7.46 * 10³ s

t = 2.07 hr

Therefore, the time taken to burn off energy is 2.07 hours

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Answer:

1800 N

Explanation:

gravitation field strength on Earth = 10N/kg

therefore force if gravity acting on paratrooper= 180kg × 10N/kg = 1800 N