Macro put a pot of water on eggs. Half an hour later, he returned to find the pot dry. This is an example of.

Using the concepts of Ferris wheel, we go that the speed of the rider is 2πm /min above ground level if a Ferris wheel with a radius of m is rotating at a rate of one revolution every minutes

The height of the rider at any time  is (x + m) .

From the right triangle

sinθ = x/m ---------------(eq1)

Differentiating both sides with respect to t, we get:

d(sin)/dt= [(1/m)×(dx/dt)]

Using chain rule,

cosθ×(dθ/dt)= [(1/m)×(dx/dt)] -------------(eq 2)

When the height of the rider is  1m.

X = m - m

Then the value of x is  0.

Put the value of x in the equation (I)

Sinθ = 0/m = 0

We need to calculate the value of (dθ/dt)

A Ferris wheel makes 1 revolution per minute.

 (dθ/dt)= 2π

Now, substitute the value of sinθ and  (dθ/dt) in equation (II)

√1-0 x 2π= [(1/m)×(dx/dt)]

dx/dt =2πm

Hence, if a Ferris wheel with a radius of m is rotating at a rate of one revolution every minutes, the speed of rider rising when his seat is m above ground level is to be 2πm meters /sec.

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The approximate frequency is 9.96 × ³³ s-1

Solution:

Hypothetical wave energy = 6.6 J

Hypothetical wave frequency =?

E = HV  

v = E / h          

Where,

E = energy in joules

h = plank's constant & = 6.626 × 10-34 J.s

v = frequency in s-1

On substituting the values in the above formula :

v = E / h

v = 6.6 J / 6.626 × 10-34 J.s

v = 0.996 × 1034 s-1

v = 9.96 × 1033 s-1

Hence hypothetical wave frequency is = 9.96 × 10³³ s-1.

Count the markers to determine the frequency of each class. The relative frequency of a data class is the percentage of data items in that class. A joule is a unit of energy in the International System of Units. This is the work done when a force of 1 Newton displaces a mass 1 meter in the direction of the applied force.

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The net acceleration of the car at the top of the hill is 6.6 m/s²

According to the question,

Mass of the car, m = 1600 Kg

Final speed of the car = 10 m/s

Distance covered by the car, d = 50 m

Radius of curvature of the hill, r = 25 m

Initial speed of the car, u = 25 m/s

The acceleration of the car is calculated by applying the third equation of motion,

v² = u² + 2as

where, v is the initial speed

            u is the final speed and

            a is the acceleration of the car

2as = v² - u²

a = [tex]\frac{v^{2-u^{2} } }{2a}[/tex]

a =[tex]\frac{10^{2}- 25^{2} }{2 X 50 }[/tex]

a =  - 5.25 [tex]m/s^{2}[/tex]

The centripetal acceleration of the car at the top of the hill is given as,

[tex]a_{c} =\frac{v^{2} }{r\\}[/tex]

[tex]a_{c} =\frac{10^{2} }{25} \\a_{c = 4m/s^{2}[/tex]

The net acceleration of the car at the top of the hill is calculated as;

[tex]a_{net} = \sqrt{a^{2} } +a_{c^{} }[/tex]

[tex]a_{net} = \sqrt{-5.25} ^{2} - 4^{2}[/tex]

      = 6.6[tex]m/s^{2}[/tex]

Thus, the net acceleration of the car at the top of the hill is 6.6 m/s²

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The coefficient of static friction between the penny and the durcae of the turntable is 11.9.

The mass of the penny on the turntable rotating at 33 rpm is 2.5 grams. The penny was found to be located at a distance of 10cm from the center of the turntable.

Now, friction force on the penny will be.

Fr = uW

W is the weight of the penny,

u is the coefficient of friction.

The centripetal force on the penny will be,

F = Mw²r

m is the mass of penny,

w is the angular speed,

r is the distance of the penny from the center.

Now, if the penny stops,

Fr = F

so, we can write,

uW = Mw²r

Putting values,

u(2.5 x 10) = 2.5 x (3.45)² x 0.10

u = 11.9

The value of the coefficient of static friction between the penny and the surface of the turntable is 11.9.

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Answer:

H = 1/2 g t^2      time to fall H

t = (2 H / g)^12 = (2 * 2 / 9.80)^1/2 = .639 sec

Sx = Vx * t = 9 m/s * .639 s = 5.75 m      horizontal distance traveled

0.14 mc² work is done on a particle with a mass of m to accelerate it from rest to a speed of 0.089 c

A particle or an item that is in motion has a sort of energy called kinetic energy. When an object undergoes work, which involves the transfer of energy, by exerting a net force, the object accelerates and thereby gains kinetic energy.

kinetic energy of mass particle: KE = mc²( γ- 1 )

here γ is Lorentz constant

γ = [tex]\frac{1}{\sqrt{1 - \frac{v}{c}^{2} } }[/tex]

γ = [tex]\frac{1}{\sqrt{1 - \frac{0.089c}{c}^{2} } }[/tex]

γ = 1.14

here,

particle start from rent so initial KE = 0

and final KE = mc²(1.14 - 1 )

final KE = 0.14mc²

so,

work done to increase speed of particle

W = final KE - initial KE

Work = 0.14 mc²

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The total inductance of inductors connected in series is equal to the sum of the inductances of the individual inductors.

Briefing:

The amount of voltage dropped across an inductor for a specific rate of current change through it is the undisputed indicator of inductance.

The total voltage reduced as a result of a change in current will be additive with each inductor if inductors are linked in series (sharing the same current and experiencing the same rate of change in current), resulting in a higher total voltage than either of the individual inductors alone. Greater inductance results from higher voltage at the same rate of current change.

As a result, the overall inductance of a series of inductors is greater than the sum of the inductances of each individual inductor. Similar to how series resistances are calculated, the series total inductance formula takes the same form:

L(total) = L1+L2+L3….Ln

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The time and height at which they collide at 1 second and 15 m respectively when the stone is thrown upward with a velocity of 20m/s.

Let ball A be at the bottom and ball B be at the top.

Assume that you are sitting at B and watching A move.

You (B) appear to be content with yourself. However, both you (B) and A are accelerating in the same general direction. So, the acceleration of A relative to you (B) is 0.

As a result, A will appear to be approaching you uniformly moving at 20 m/s toward you.

A reaches you (B) in 1 second if the distance of 20 meters is divided by that speed.

Now that you have assumed you were stationed at B, you have thought about these motions and time. However, whichever reference frame you use, the time it takes for A to reach B shouldn't vary.

The collision between A and B occurs in 1 second.

Assuming g = 10 m/s2,

B falls freely and travels a distance of 1/2(g)([tex]1^{2}[/tex])=5.

They thus collide at a height of (20-5)m, or 15m, above the earth.

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The total magnification of a microscope or set of lenses is 300x.

Magnification is the process of enlarging an object's image in relation to its size using a mirror, whether it be convex or concave.

There is no unit for magnification. The fact that it is a measurement ratio is the cause. It is the proportion of an object's size to that of an image.

Calculating the overall magnification is straightforward math once each lens's specific magnification is known. Add the combined magnification of the lenses.

Given

magnification of the first lens, l1 =  10x

magnification of the second lens, l2 =  30x

Total magnification = product of the magnification of all the lenses.

Thus, to compute the total magnification of a microscope, multiply the two lenses' magnification powers.

Consequently, the lenses' combined magnification will be - 10*30.

Thus the total magnification of a microscope or set of lenses is 300x.

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a) Acceleration is calculated as 29.54 m/s^2

b) Time required to stop is calculated as 2.27 seconds

The rate of change of the velocity of an object with respect to time is called as acceleration and it is a  vector quantity. Acceleration is the rate at which velocity changes with time in terms of both speed and direction. An object moving in a straight line is accelerated if it's speed goes up or down.

Given, speed = 150 mph

1mph = 0.447 m/s

150mph = 67.056 m/s

and distance = 500 ft

1ft = 0.30 m

500 ft= 152.4 m

time=  distance / speed

= 152.4/ 67.056

=  2.27 sec

Acceleration= velocity/ time

= 67.056/2.27

Acceleration = 29.54 m/s^2

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Answer:

96 Ω

Explanation:

Power = V^2 / R

1.5     =   12^2 / R

R = 12^2 / 1.5 = 96 Ω

Brain waves that are lowest in frequency and highest in amplitude are called delta waves.

Brain waves such as alpha waves or delta waves refer to the oscillations in the electrical differential of potential from different parts of the brain, which occur as a differential due to the action that an individual is making and it may indicate the brain areas working in a particular activity such as sleep.

Therefore, with this data, we can see that brain waves depend on the differential electrical potential that produces oscillations in the brain in response to the activity of different parts of our brain.

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Planetary scientists estimate the ages of the outflow channels and valley networks on mars by craters

Due to impact of meteorite, volcanic activity, or an explosion , there occurs a depression at a certain area , that is called crater .

Ages of the outflow channel and valley network can be estimated by counting the number of impact craters. Because of the almost constant  rate at which impacts have occurred in the solar system .

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The upper leg applies the exact same amount of force on the knee as the tendon applies on the lower leg. f = 215.6 N

This is only logical as the net result of these forces is the canceling out and the leg staying stable in its position.

The magnitude of a force is how much it accelerates the object it acts on and is represented by a scalar. Size can also be viewed as a strength. Riding a bicycle is a simple example of force magnitude. It is a simple machine that converts human-supplied energy into kinetic energy.

The force exerted on the pedal results in the formation of energy. Work is done to convert this energy into kinetic energy and move the bicycle forward. Force magnitude describes the sum of all forces acting on an object. If all forces act in the same direction the force magnitude increases. If forces act on an object in different directions the magnitude of the force will decrease.

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The number of turns this solenoid contains is 4422 turns.

The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic subject as a device to explain how the magnetic force is distributed inside the space around and within some thing magnetic in nature.

The Earth's magnetic field does now not directly affect human health. human beings advanced to live on the earth. high altitude pilots and astronauts can experience higher degrees of radiation for the duration of magnetic storms, however, the risk is due to the radiation, no longer the magnetic area itself.

Magnetic fields are produced via transferring electric powered fees. the entirety is made up of atoms, and every atom has a nucleus fabricated from neutrons and protons with electrons that orbit around the nucleus. for the reason that orbiting electrons are tiny moving costs, a small magnetic field is created around every atom.

Calculation:-

B = uNI/L

⇒ 339 = (4pi X 10^-7)(6.71)(N)/.11

⇒ N = 4422 turns

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Explanation:

maximum height to which the stone can reach is 80 m

h=80

total distance = 2h

= 160 m

The total distance travelled by the stone would be the distance it covered while moving up and then the distance it covered while coming back down.

The speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s

v = √ 2 g h

v = Speed of water

g = Acceleration due to gravity

h = Height

g = 9.8 m / s²

h = 6.2 m

v = √ 2 * 9.8 * 6.5

v = √ 127.4

v = 11.29 m / s

This is derived from an equation of motion,

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration

s = Distance

u = 0

v² = 2 a s

v = √ 2 a s

Therefore, the speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s

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What is Angular frequency?

However, it is a scalar quantity, meaning that it lacks direction.

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Using the theories of centripetal acceleration, we got that 9.388 sec after the starting  magnitude of its centripetal acceleration equal to the tangential acceleration.

We know that centripetal acceleration is given by =v²/r,

where v is the velocity along curved road and r is the radius of the curved road.

We have from the question, Acceleration (a) = 1.7m/sec²

Radius(R) = 150 m

Therefore,  

a=v²/r

=>1.7=v²/150

=>v²=1.7×150

=>v²=255.0

=>v = 15.96 m/sec

Now, we know that the formula for tangential acceleration is the product of acceleration and its time ,which means

v = a x t

15.96 = 1.7 x t

t = 9.388 sec.

Hence, if the car speeds up at a steady 1.7 m/s2 , the time  after starting when the magnitude of its centripetal acceleration equal to the tangential acceleration is 9.388 sec

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The centripetal acceleration is 1 m/s^2 .

Centripetal force is applied when there is a object revolving in circular path. This path is applied in the opposite direction of the center of the circular path and also this would be perpendicular to the velocity direction.

The value of centripetal force is

Fc = [tex]\frac{mv^{2} }{r}[/tex]

where m is the mass of the object

v is the velocity and r is the radius of the object.

Now as we know that

F = ma

where a is the acceleration

so we can write that

a = v^2/r

putting the values, we get

a = 1^2/1

a = 1/1

a = 1 m/s^2

Hence the centripetal acceleration is 1 m/s^2.

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The average power supplied by the gravitational force during this time is 21717 Watt.

The mass of the road bicycle racer riding down the highway is 75kg.

The height through which he descends is 5 meters and the time taken by it is 12.5 seconds, the initial velocity of the bicycle is 35km/h(9.7m/s) and the final velocity of the bicycle is 55 km/h(15.27m/s).

The acceleration applied due to earth on the bicycle can be found as,

V²-U² = 2aS

V is the final velocity,

U is the initial velocity,

a is the acceleration created due to earth,

s is the height of the bicycle.

Putting values,

(15.27)²-(9.7)² = 2(a)(5)

a = 13.9m/s².

Now, the work done by the earth on the bicycle is,

W = 75(13.9)(5)

W = 267712.5 Joules.

The power supplied = Work done/time

Power supplied = 21717 Watt.

So, the power supplied by earth is 21717 Watts.

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The magnitude of the acceleration of the ball is 25.3 m/s²

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.

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.

Calculation:-

v² = u² -2as

13.5² = 22² - 2a × 13.8

1182.25 - 484 = - 27.6a

698.25/27.6 = -a

a = - 25.3 m/s²

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2.5 J work will be required to stretch it an additional 4.0 cm.

Work done is elaborated in such a manner that it consists of each force exerted on the frame and the full displacement of the frame. This block is preceded by using a regular force F. The purpose of this pressure is to transport the body a certain distance d in an immediate course inside the path of the pressure.

The work is stated to be accomplished while force is implemented on an object's movements via a distance within the route of the utility of pressure. Scientists use the joule to measure work. One joule is the same as the paintings achieved by way of a force of one newton to move an item one meter in the path of the force.

Calculation:-

Work done is inversely proportional to the distance,

W₁/W₂ = L₂/L₁

W₂ = W₁L₁/L₂

      = 5 × 2 /4

       = 2.5 J

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If a person is pushing against a stationary wall with a force of 20N, then the force of same magnitude will be exerted back on to the person by the wall.

Force is the external agent which is capable of changing an object's state of rest or motion. A force can be a push or a pull. It has both the magnitude and direction.

According to Newton's third law of motion, forces always acts in equal but opposite pairs. This law can also be defined as for every action, there is an equal but opposite reaction. It means that when a person pushes on a wall with a force of 20N, the wall pushes back on the person with a force equal in strength to the force which is exerted i.e., 20N but opposite in direction.

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The ratio of kinetic energy of colliding bodies before and after collision is 9:1

Kinetic energy refers to be the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.

Kinetic energy of the body before collision (KE₁): ¹/₂ mv²

Velocity (v') after collision:

v' = [(m₁ - m₂)/(m₁ + m₂)] v

Since, m₁ = 2m

m₂ = m

Substitute the values in the formula:

v' = [m/3m]v

v' = v/3

Now, kinetic energy after collision (KE₂):  ¹/₂ mv'²

=  ¹/₂ m(v/3)²

=  ¹/₂ m(v²/9)

Now the ratio of kinetic energies:

KE₁ / KE₂ = (¹/₂ mv²) / (¹/₂ m(v²/9))

KE₁ / KE₂ = 9/1

Or 9:1

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The amount of work done by denise to drag her basket of laundry of mass 5 kg is 75 J.

Work is defined as the product of distance and force.

To calculate the amount of work done by denise to drag the basket, we use the formula below.

W = Fd cosθ

where, W is the work done by the denise

F is the force applied to the basket

d is the distance

θ is the angle made with the horizontal

Given that, F = 30 N

d = 5 m

θ = 60°

Substituting the values in the above equation,

W = 30* 5* cos 60° = 75 J

Thus, work done by the denise is 75J.

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Answer:

Explanation:

Missing drawing!

Electronegativity is the capacity of a covalently connected atom to draw the shared electrons.

The capacity of an atom to draw the shared electrons from a covalent connection to itself is known as electronegativity. If the electronegativity of the linked atoms is the same, then the shared electrons will be distributed evenly. The electrons in a bond will not be distributed evenly if one of the atoms is more electronegative and hence attracts more of the bond's electrons. The more electronegative atom will "take" the electrons, resulting in two ions and an ionic connection, if the difference in electronegativity is great enough to prevent any sharing of the electrons.

Think of a tug-of-war match. The rope remains in the middle if the two teams are of equal strength. The rope is tugged in the direction of the team that is more powerful. The rope eventually ends up on the side of the stronger team if one team is much stronger than the other. If this happens, the weaker team is no longer able to hold onto the rope. Chemical bonding are comparable to this. The electrons are shared evenly if the electronegativity of the two bonding atoms is equal. The bond's electrons are more drawn to an atom if it has a higher electronegative charge. The electrons won't be shared, leading to an ionic bond, if one atom is much more electronegative than the other atom.

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The reason some regions of the Milky Way's disk appear dark is because

stars in this direction are obscured by interstellar dust.

Astronomers have observed many different stars at each stage of their formation process. They have moved away from the Sun over the past 4.5 billion years. Location-to-location density variation increases as the cloud collapses. Once a protostar with a mass of less than 0.08 solar mass is formed, its internal temperature never reaches a sufficient level to initiate thermonuclear fusion. This quirky star is called a brown dwarf and sits between a planet (such as Jupiter) and a star. Coalsacks are clouds of interstellar dust about 600 light-years away that block light from the stars from reaching us. It is a type of celestial object called a dark nebula. The "inside" star that can be seen with binoculars is actually closer than the coal sack itself.

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