What is the moment of inertia of a 1. 5-kg-rod that rotates about its center? the length of the rod is 1. 8 m.

Acceleration due to gravity is defined as the acceleration produced in a falling body due to the force of gravity. It is denoted by “g” and its value is 9.8m/(sec*sec).

The value of “g” does not depend on the mass of the falling body, it means if two objects say a cotton ball of mass 100 gram and an iron ball of mass 100 gram are allowed to fall in a vacuum tube (free from air resistance) from some height, then both the objects will hit the ground at the same time because both get accelerated towards the ground with the same acceleration i.e 9.8 m/ (sec*sec).

In simple words, 9.8 m/(sec*sec) means the velocity of a falling body increases by 9.8 m/sec after every I sec.

Thanks.

Answer: The formula for acceleration due to gravity is F=mg

Explanation: Where F stands for the force acting on the body and m stands for the mass of the body g is the acceleration due to gravity

The direction of the magnetic field is east and its magnitude is 0.171T.

Here we have to find the direction and magnitude of the minimum magnetic field needed.

The given values:

mass/ length (m/l) = 0.505 g/cm

Current(I) = 2.94A

Let the magnetic field be B

Formula:

Form F = I( l× B)

As it is in the south direction. So gravity is in a downward direction.

F = I( lB)

F/l = IB

F/l = mg/l

=( 0.505× [tex]10^{-3}[/tex]/ [tex]10^{-2}[/tex]) 10

 =0.505

Now put in the equation we have:

0.505 = 2.94 × B

B = 0.171T in the east direction.

Therefore the direction is in the east and the magnitude of the magnetic field is 0.171T.

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The normal result of the trade wind blowing from South America to Indonesia and Australia warm water produces rainy weather in Indonesia and Australia. Option D

We know that the trade winds are the winds that tend to originate at the north east or the south eastern parts of the hemisphere and tend to be blowing across the seas towards the equator. Thus we can see that the focus of the trade winds is the equator and they emanate from north or south.

One of the effects of the trade winds is that they make the wind warmer and that would make to the emergence of a warmer weather and this would spread to the other parts of the word as we can see from map studies.

The effects of the trade winds  blowing from South America would tend  to be much more felt around the areas of  Indonesia and Australia and this is very important to weather changes around those areas.

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the correct answer is maximum height = 25.86 meters.

h(t) = -4.9t^2 + 8t + 3

take the derivative and set equal to zero

h'(t) = -9.8t + 8 = 0

max height is when  t = 8/9.8 = 4/4.9 = about .816 seconds t

plug that value into the 1st equation above to calculate maximum height'

h(4/4.9) = -4.9(4/4.9^2) + 8(4/4.9) + 3 = -3.2653 +26.1224 +3 = 25.86 meters = max height

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A major piece of evidence supporting the big bang theory is faraway galaxies' stars' electromagnetic radiation reveals a change known as a "redshift," which makes the wavelengths look longer than they actually need to be.

Evidence of the universe's expansion comes from the Doppler redshift of light from far-off stars and galaxies (moving away from a central point). This makes the Big Bang Theory possible because, after the first "bang," all of the matter goes away from its origin.

The only procedure that we are aware of that can lengthen wavelengths occurs when the wave's origin is moving away from the observer. Therefore, we think that this is what is causing all of the radiation from far away. Extended wavelengths of galaxies, bring us to the idea that the universe is expanding.

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the correct answer for the disk spins at of 200 to 6000 revolutions per minute is 20o rpm = 20.999 radian per second.

A body that has made one rotation has made two radians of angle.

We apply the same conversion factor to convert the angular velocity as well:

1rev/min=2π60 radian/s

200rpm=200(2π60)rad/s=20.944radian/s

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The tension in the rope is changed by 75 N

Tension is the force that is transmitted through a body which can be a rope or a wire which is pulled from both sides. Whenever there is a rope being pulled from one side then according to Newton's third law, equal force is exerted by the rope on the other side. This transmission of forces is known as tension in that rope.

Given,

Mass 1 = m₁ = 1.5 kg

Mass 2 = m₂ = 7.5 kg + 1.5 kg = 9 kg

g = 10 m/s² = acceleration due to gravity

Tension in the rope when mass 1.5 kg is attached to the string,

T₁ = m₁g = 1.5 * 10 = 15 kg

Tension in the rope when mass 1.5 kg is attached to the string,

T₂ = m₂g = 9*10 = 90 kg

The change that tension undergoes

T₂ - T₁ = 90 - 15 = 75

Therefore, the factor by which the tension in the rope changes is 75 N

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Answer: 6.083N at  -80.538 degrees

Explanation:

Force is a vector so there is magnitude and direction

1. Find the net force in each direction.

net force (y) = everything up (positive y direction) - everything down (negative y)

= 9-3 = 6N

net force (x) = everything right - everything left

= 5-6 = -1N

These are the components of the net force on the object.

r = <-1, 6>

r is the vector of the force.

We can find magnitude by using the Pythagorean theorem.

sqrt( 1^2 + 6^2) = sqrt 37 or 6.083N

to find the direction we can use trig identities

tan(theta) = y/x

tan^-1 (y/x) = theta

tan^-1(6/-1) = -80.538 degrees.

In order to calculate the net torque for an object in static equilibrium the pivot point can be any convenient location.

Multiplying the moment arm by the magnitude of each force gives the magnitude of the torque due to each force. Determine whether each torque is clockwise or counterclockwise, and give each the appropriate sign when summing the torques and setting this sum to zero for balanced torque conditions.

For an object to maintain static equilibrium two equilibrium conditions must be met. First, the net force acting on the object must be zero. Second, the net torque acting on the object must also be zero. A pivot point is a technical analysis indicator or calculation used to determine the overall trend of the market over various time periods.

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If we wanted to search for faint rings around a giant planet by sending a spacecraft on a flyby, it would be best to make your observations after the spacecraft passed the planet.

The primary demanding situations involved in sending probes to the giant planets are distance, environment, and low energy levels. All gasoline large planets namely Jupiter, Saturn, Uranus, and Neptune inside the sun gadget have jewelry, at the same time as the terrestrial planets like

Mercury, Venus, Earth, and Mars are no longer.in observations of other planets, Mercury is hard to explore. the rate required to attain it is pretty excessive, and its proximity to the sun makes it difficult to maneuver a spacecraft into a solid orbit around it.

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The potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.

The roller coaster is a device that is known to be a medium that we could use to demonstrate energy conservation. This is because, in the roller coaster, there is a constant conversion of energy from potential energy to kinetic energy and vice versa.

Now, we must recall that the total mechanical energy of the system is a constant. This implies that the total mechanical energy does not change. The potential energy of the roller coaster at the to of the hill is converted to the kinetic energy of the roller coaster as it is descending.

As such, as we follow the principle of the conservation of energy, it becomes clear that by comparison, the potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.

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Her kinetic energy is 3,338 joules.

Solution:

Kinetic Energy =  [tex]\frac{1}{2} mv^{2}[/tex]

mass = 56kg

velocity = 11m/s

Kinetic Energy =  [tex]\frac{1}{2}[/tex]x 56 x

Kinetic Energy = 28 x 121

Kinetic Energy = 3,388 Joules.

Kinetic energy is 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. Weight is a measure of the force of gravity that pulls an object down. This depends on the mass of the object and the acceleration due to gravity. Kinetic energy is the kinetic energy observable as the motion of a body particle or group of particles.

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What is spectral sequence and how it is classified?

Hence, labour of several people led to the discovery and O is the hottest, while M is the coolest is the correct option.

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the outcomes of the subsequent procedures when the correct number of significant digits is used. Your Calculator Should Show 1.2856 + 10.1 = 11.3856, 155-0.52 =154.479, 1558*12=18696,3.585÷1.2 =2.9875

(i) 1.2856+10.1

1.2856 →5 significant digits

10.1      →3significant digits

------------------------

11.3856

should be round off 3significant digits

1.3(should contain same digit after decimal)

10.1   →(dobut full digit )

---------------------------

11.4

(ii) 155-0.521 =154.479(calculator display)

155  (doubt  full digit, after that should be dropped)

   0.521

--------------------------

155 →should be but after round off doubt full digit

(iii) 155-0.52

calculator display:155.52

155.

    0.

------------------------------

155.0 (155 should be)

(iv) 1558*12 =18696

1558*12=18696

=19000(round off  up to 2 significant value)

(v) 3.585÷1.2 =2.9875

                     =3.0(should be)

The digits in a number that is trustworthy and required to denote the quantity of anything are known as significant figures, also known as the significant digits, precision, or resolution, in positional notation.

If a measurement result (such as a length, pressure, volume, or mass) is expressed as a number with more digits than those permitted by the measurement resolution, only the digits allowed by the measurement resolution are trustworthy, and only these can be significant figures.

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When the proper number of significant digits is utilized, the results of the succeeding operations are 1.2856 + 10.1 = 11.4, 155-0.52 = 155, 1558*12=19000, and 3.5851.2 = 3

(a) 1.2856+10.1= 11.3856(calculator display)

5. Significant digits in 1.2856

10.1 with three significant digits.

The result of adding is 11.3856.

If we round 1.2856 to three significant digits, we obtain 1.3 (which should have the same digit after the decimal), then we add that to 10.1 to get 11.4

(b)155-0.521 =154.479. (calculator display)

Currently, we can see the double full digit 155, which should be but is actually full digit 155-0.52 on the calculator display:

155.52  Then 155.- 0. = 155.0

(c) 1558*12 =18696(calculator display)

1558*12 = 19000(round off up to 2 significant value)

(d)3.585÷1.2 =2.9875(calculator display)

3.585÷1.2 = 3.0(should be)

A reliable number's digits are those that Significant figures, often known as the necessary or required digits, are those in a number that are reliable and used to indicate the amount of anything.

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The correct answer is in a series circuit there will be only one path through which electricity flow.

What is series circuit or connection?

A series circuit has a channel via each component where the entire current flows.

As a result, a parallel circuit has more than one path for the current to travel while a series circuit only has one.

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Starting at rest, a block accelerates at 4.0 meters per second square and slides down an 18-meter plank. The block needs three seconds to get to the bottom.

What is acceleration?

Acceleration is the term used to describe how quickly an object changes its velocity. A vector quantity is an acceleration. An object is said to be accelerating if its velocity is changing; an item with a steady velocity is not accelerating.

The velocity of a moving object refers to how quickly it is moving in that direction. Consider the speed of a car driving north on a highway or the speed at which a rocket takes off as an example.
Given that in the question block slides down an 18 m plank length with an acceleration of 4.0 meters per second square when it begins at rest.

Using the equation of motion,

S = ut + (1/2)at²

s is distance, s = 18 m

u is initial velocity, u = 0

a is acceleration, a = 4 m/sec²

t is time

18 = 0*t + (1/2)*4*t

solving we get t = 3 sec.

Hence, the time taken by the block to reach the bottom is 3 sec.
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the resistance of the wire to the nearest tenth of an ohm is 2Ω.

What is resistance?

resistance is a measure of the opposition to current flow in an electrical circuit. resistance always measure in ohm.It design with R.A resistor is a device designed to produce resistance. resistor can be used to the  limit current, divide voltage, or generate heat.

Sol-Potential difference (V) = current (I) * Resistance (R)

V = IR

I = 2.0A

V = 10v

So the

R = ?

V = IR

R = V / I

R = 10 / 2

R = 2Ω

Thus the,

The resistance across the wire is 2Ω.

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The accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.

Acceleration is defined as the rate of change of velocity with time, both in terms of speed and direction. They are vector quantities, accelerations. The direction of an object's acceleration is determined by the direction of the net force acting on it.

The accelerating upward with an acceleration of 1.80 m/s2

ΣFy = ma − mg + N

= ma − (95)(9.8) + N

=  (95)(1.8) N

= 1102N

The accelerating downward with an acceleration of 1.30 m/s2

ΣFy = ma − mg + N

= ma − (95)(9.8) + N

= (95)(−1.3) N

= 807.5N

Thus, the accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.

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The density of ice is less than that of water. So, ice floats on water. If the ice is floating on the surface of water the volume of ice submerged in the water will be equal to the volume of water displaced by the ice cube.

If a piece or cube of ice is placed in a container containing water, some of its portion will remain out of the water level. As we know the fact that, the volume of ice is greater than that of the water so after melting the volume of the piece will decrease and the water level will remain the same.

So, here the water level will remain the same when the ice cube will melt. Also, Stated by Archimedes that a floating object displaces an amount of water equal to its own weight. So as the water expands when it freezes, one ounce of frozen water has a larger volume than one ounce of liquid water.

Here, the apparent weight of the ice is equal to the weight of displaced water. When the ice will melt, it will occupy the volume of displaced water. So, water remains at the same level, as it was on before. It can also be said that the density of water is more than that of ice or vice versa, so the volume of water or the water level remains the same.

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The gravitational attraction between two objects is reduced by a factor of 4 when the separation distance between them is doubled.

According to Newtonian mechanics, the "pull" of gravity is caused by mass. There is only a pull between any two masses and each additional mass. Although the magma itself does not produce gravitational force, the gravitational force is a result of the magma's extreme heat.

The earth is kept in its orbit by the gravitational pull of the sun, which protects it from straying into interstellar space. We are anchored to the surface of the earth by the gravitational pull of the planet.

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The potential energy of the spring-mass system when the spring is only stretched by our distance of a/2 is 2.5 Joules.

The potential energy of a spring for a particular mass spring system is given by,

U = 1/2kx²

x is the extension in the spring,

K is the spring constant.

If the spring is stretched by a distance of a then the potential energy of the mass spring system,

10 = 1/2ka²

If the spring mass-system is only stretched by a distance of a/2, then let us say that potential energy of the system is U',

U' = 1/2k(a/2)²

U' = 1/2ka²/4

Putting, 1/2ka² = 10,

U' = 10/4

U' = 2.5 Joules.

So, the potential energy of the system is now 2.5 joules.

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The mass of a girl is 62 kg.    

An acceleration of an elevator (travels up) is 3 m/s².

When the elevator is going up, the normal force of a girl is calculated as follows :

First, draw force that work in the system. (Look at the picture!)

Based on the picture, we can see that normal force has the same direction as the elevator.

It means the normal force is positive and weight is negative.

∑F      = m × a

N - W = m × a

N        = (m × a) + W

N        = (m × a) + (m × g)

N        = m (a + g)

N        = 62 (3 + 10)

N        = 62 (13)

N        = 806 N

Normal force of 62 kg girl who travel up with an acceleration 3 m/s² by an elevator is 806 Newton.

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The energy of the motor of mass 450 kg if it is 85% efficient is 22491 J.

Energy can be defined as the capacity or the ability to perform work.

To calculate the energy of the motor if it 85% efficient, we use the formula below.

Formula:

Where:

Where:

Substitute these values into equation

Hence, the energy of the motor if it is 85% efficient is 22491 J.

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False, Some molecules may change from being a liquid to a gas, but not all molecules throughout the substance.

What is molecules?
According to the context, the term may not include ions that meet this requirement. A molecule is a collection of two or more atoms held together by the attractive forces known as chemical bonds. When speaking of polyatomic ions, the distinction between them and ions is frequently dropped in the fields of quantum physics, organic chemistry, and biochemistry. A molecule can be heteronuclear, which is a chemical compound made up of more than one element, like water, or homonuclear, which is a chemical compound made up of atoms of one chemical element, like the two atoms in the oxygen molecule (O2). The term "molecule" is frequently used to refer to any gaseous particle, regardless of its composition, in the kinetic theory of gases.

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We push town harder on the paddle tours with bicycle when first starting out then when moving because of the law of inertia.

According to the Law of Inertia and Newton's first law of motion,

If a body is at the state of rest or in the state of motion then it will continue it state unless and until an external force is applied on it in order to change its state.

The property of the object to remain in its state is called inertia. Whenever you try to change the state of body we use an external force.

So, when we start to pedal the bicycle we are trying to change the state of rest of the bicycle. But when the bicycle starts to move we are not trying to change the state of the bicycle we are continuously along the bicycle to move and remain and its state of motion.

This is the reason why we push down harder on the pedal tours with bicycle when first starting out then when moving.

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The angular acceleration of the body is 9059.125 rad.

Angular Acceleration is described as the time rate of alternate angular velocity. it's also expressed in radians per 2d consistent with the second. accordingly, α = d ω d t. Angular acceleration is also called rotational acceleration.

Calculation:-

a. angular acceleration = change in angular velocity

a = 2π (1700 - 200)/60.115

  = 1.37 rad/sec²

b. θ = 01/2at²

      = 0.5×1.37 ×(115)²

      = 9059.125 rad.

Angular acceleration (α) can be described as angular velocity (ω) divided by acceleration time (t). rather, pi (π) increased by means of power pace (n) divided by acceleration time (t) multiplied by 30. This equation yields the usual angular acceleration SI unit of radians in line with 2d squared (Rad/sec²)

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The characteristic of newborn appearance is fine body hair called lanugo, blue or grayish skin color swelling and so on, which means all of the above statement is correct.

The biological process by which brand-new, distinct organisms—their "offspring"—are formed from their "parent" or "parents" is known as reproduction (often referred to as procreation, breeding, fertilization). Every individual organism on Earth exists as a result of reproduction, which is a fundamental element of all life as we currently understand it. Asexual and sexual development are the two types of reproduction.

Without the assistance of another organism, an organism can reproduce through asexual reproduction. Not just single-celled organisms can asexually. Asexual reproduction takes place during the cloning of an organism. An organism makes a replica of itself that is genetically identical to it through asexual reproduction. Biologists struggle to understand how sexual reproduction evolved.

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49.3 × [tex]10^{-8}[/tex] T is the maximum magnetic field strength if the maximum electric field strength in an electromagnetic wave is 148 kv/m.

B=E/C

B = magnetic field

E = electric field, 148 kv/m

C = speed of light, 3 × [tex]10^{-8}[/tex] m/s

Put these values in formula, B = E/C

B = 49.3 × [tex]10^{-8}[/tex] T

Hence, magnetic field strength is 49.3 × [tex]10^{-8}[/tex] T .

Electromagnetic waves are waves that are created due to vibrations between an electric powered field and a magnetic field. In different phrases, EM waves are composed of oscillating magnetic and electric powered fields.

Electromagnetic waves differ from mechanical waves in that they do now not require a medium to propagate. Which means that electromagnetic waves can tour now not handiest thru air and stable materials, however also thru the vacuum of space.

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The answer is 28.98 rad/s.

Solution:

v = 10m/s

v = RW

= W = [tex]\frac{V}{R} = \frac{10}{0.345} = 28.98 rad/s[/tex]

Angular velocity is measured in radians per unit of time because it is the rate at which the central angle swept by an object changes as it moves around a circle. Linear velocity is measured in units of distance per unit of time. Angular velocity is a measure of rotation per unit of time. Represents the angle of rotation in a given amount of time.

Linear velocity is a measure of the concrete distance traveled by a moving object. The speed at which an object travels in a straight line path is called linear velocity. Simply put, it is the distance traveled in a straight line path in a given amount of time. Velocity is the rate of change of an object's position over a specified time range. When an object moves along a straight line path, its speed is called linear velocity.

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A smaller mass coming near a larger mass will bounce back in a collision. If a larger mass is first of all moving in the direction of a smaller mass, both will preserve the momentum in the route of the preliminary momentum.

All through a collision, the full momentum of the machine of both carts is conserved due to the fact the net force on the machine is zero. If the momentum of 1 cart decreases, the momentum of the opposite cart will increase by the identical quantity.

Each cart comes toward the other in a head-on collision. If each cart has identical hundreds and speeds then they will each come to rest after they hit the Velcro pads. This collision is completely inelastic: all of the kinetic energy disappears.

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