a. If there is to be no relative motion between the train and the edge of the platform, how fast must
the train move compared to the rim speed of the rotating platform?
b. Why is the stairway located at the center of the platform?

2. The design below shows a train that makes round trips from Station A to Station B in a
continuous loop.

a. How is the size of the round platform and train speed related to the amount of time that
passengers have for boarding?
b. Why would this rotating platform be impractical for high-speed trains?
CONCEPTUAL PHYSICS

Answer:

1 m/s

Explanation:

According to the law of conservation of momentum:

[tex]m_{1} u_{1} +m_{2} u_{2} =(m_{1} +m_{2} )v[/tex]

We take right to be the positive direction (meaning we put minus in front of the velocity of the block which is travelling to the left):

1 kg * 5 m/s - 2 kg * 1 m/s = (1 kg + 2 kg) * v

5 kgm/s - 2 kgm/s = 3kg * v

3 kgm/s = 3 kg * v

v = 1 m/s

Answer:

Heat energy

Explanation:

Explanation:

heat energy or thermal energy

Answer:

At time t=0 , Projectile is launched from the top of cliff an angle of 30

Explanation:

45-443tx=332

Three persons are pushing a stopped automobile up a hill at an increasing speed, hence the net force exerted on the car has to be zero.

The speed at which anything goes along a certain path is referred to as its velocity. as fast as a car traveling north on a highway, even, or as fast as a rocket taking off. The velocity vector's absolute amount has always been equal to the motion's speed since it is a scalar.

The pace at which an object's position varies over time is referred to as its velocity (displacement). Speed can only be beneficial, unlike velocity, which includes combined speed and direction, which may be neither favourable or negative.

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The pressure in the burette if the atmospheric pressure in the room at that time was 765.0 torr is 915 torr

The following formula can be used to determine the pressure inside the burette:

Gas pressure = atmospheric pressure + height-related pressure

We can calculate the pressure in the burette using the formula above. Below is an example to help:

Pressure due to height = 15 cmHg = 150 mmHg = 150 torr

Atmospheric pressure = 765.0 torr

Pressure in burette =?

Pressure in burette = Atmospheric presure + pressure due to height

Burette pressure = 765.0 +150

Burette pressure= 915 torr.

Consequently, burette's pressure is 915 torr.

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The kinetic energy of the book be as it hits the floor is - 29.4  kg(m²/s²)   and the velocity of the book as it hits the floor is   -5.422 m/s .

From the question we can get,

mass (m) = 2 kg

height (h) = 1.5 m

we know ,

P.E = mgh

∴ g =9.8 m/s

∴ P.E = 2 × 9.8 × 1.5

∴ P.E = 29.4 kg(m²/s²)

According to the law of conservation of energy, energy cannot be destroyed but can only be converted from one form to another. Because KE and PE are interconvertible, they do not violate the law of conservation of energy.

∴Total Energy = PE + KE

Because the total energy of the system will remain constant, total energy=0

∴ PE+KE=0

It means that

∴PE=-KE

Hence, the kinetic energy is - 29.4   kg(m²/s²)

We know,

K.E = 1/2 (mv² )

∴ -29.4  = 1/2 ( 2 × v²)

∴ -29.4 = v²

∴ v = √-29.4

∴ v =  -5.422 m/s

Hence velocity of book is  -5.422 m/s.

An object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes.

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Answer:

Approximately [tex]33\; {\rm m\cdot s^{-2}}[/tex].

Approximately [tex]55\; {\rm m\cdot s^{-2}}[/tex].

(Assume that the table is level, and that the [tex]60\; {\rm N}[/tex] force is horizontal.)

Explanation:

Consider all three blocks as one object of mass [tex]m = (1 + 4 + 6)\; {\rm kg} = 11\; {\rm kg}[/tex]. Among all the forces that are in action, the only unbalanced external force on this [tex]m = 11\; {\rm kg}[/tex] object will be the [tex]60\; {\rm N}[/tex] force. Hence, the resultant force of this combined object of mass [tex]m = 11\; {\rm kg}[/tex] will be [tex]F_{\text{net}} = 60\; {\rm N}[/tex].

Acceleration [tex]a[/tex] of this combined object will be:
[tex]\begin{aligned}a &= \frac{F_{\text{net}}}{m} \\ &= \frac{60\; {\rm N}}{11\; {\rm kg}} \\ &= \frac{60}{11}\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].

Since the three crate blocks are moving together, each will have the same acceleration, [tex]a = (60/11)\; {\rm m\cdot s^{-2}}[/tex].

Resultant force on each of the crate blocks will be:

Assume that the [tex]60\; {\rm N}[/tex] external force on the [tex]1\; {\rm kg}[/tex] block points to the right.

When the crates are considered individually, external forces on the [tex]1\; {\rm kg}[/tex] crate will include:

Since these two forces are in opposite directions, the resultant force on this [tex]1\; {\rm kg}[/tex] block will be [tex](60\; {\rm N} - x\; {\rm N})[/tex]. However, since the actual resultant force on this block (calculated from acceleration) is [tex](60 / 11)\; {\rm N}[/tex]:

[tex]\displaystyle 60\; {\rm N} - x\; {\rm N} = \frac{60}{11}\; {\rm N}[/tex].

Therefore, the force that the [tex]4\; {\rm kg}[/tex] block exerts on the [tex]1\; {\rm kg}[/tex] block will be

[tex]\displaystyle 60\; {\rm N} - \frac{60}{11}\; {\rm N} = \frac{600}{11}\; {\rm N} \approx 55\; {\rm N}[/tex].

When considered individually, the only unbalanced external force on the [tex]m = 6\; {\rm kg}[/tex] block is the normal force from the [tex]4\; {\rm kg}[/tex] block. Hence, this force will be equal to the resultant force on the [tex]m = 6\; {\rm kg}[/tex] block, [tex](360 / 11)\; {\rm N} \approx 33\; {\rm N}[/tex].

Answer:

The momentum of the soccer ball will be twice that of the baseball.

Explanation:

If an object of mass [tex]m[/tex] travels with a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex]. Thus, if velocity is fixed, momentum will be portional to the mass of the object.

The mass of the soccer ball is twice that of the baseball: [tex](300 / 150) = 2[/tex]. Thus, when moving at the same velocity, momentum of the soccer ball will be twice that of the baseball.

The acceleration due to gravity on the moon ,which has the radius 1.74×10⁶ m and mass 7.35×10²² Kg is   1.63 m/s²  .

The Acceleration due to gravity is defined as the acceleration of the freely falling bodies due to force of attraction of other body .

it is given that , the radius of the moon is(R) = 1.74×10⁶ m ;

the mass of the moon is(M) = 7.35×10²² Kg ;

we know that the gravitational constant is = 6.67×10⁻¹¹ Nm²/Kg² ;

the formula is :

g = GM/R²

g = (6.67×10⁻¹¹)(7.35×10²²)/(1.74×10⁶)²

g = 4.90×10¹²/3×10¹²

g = 1.63 m/s²

Therefore , the acceleration due to gravity on the moon is 1.63 m/s²  .

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The acceleration of the object is 9.8 m/s^2.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given parameters:

Mass of the object: m = 7 kg.

Force acting on it: F = 68.6 N.

Hence, according to Newton's 2nd law of motion:

Force = mass × acceleration

acceleration = force/mass

= 68.6 N/7kg

= 9.8 m/s^2.

Hence, acceleration of the object is 9.8 m/s^2.

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Answer:

Because it's beautiful and very interesting. It shows the start of a new day. Why not be interested in it?

Explanation:

The change in the insects' coloration over time can be explained by evolution of insect body coloration under changing climates.

In studies on colour variety, its evolutionary causes, and the mechanical underpinnings of such variation, insects have served as important models. Recent research suggests that insect colour is adapting to the rapid climatic change. However, because a variety of biotic and abiotic factors can interact and mediate colour change, it is still difficult to determine the causes of colour variation within populations and species, as well as across space and time. Here, we discuss some of the difficulties and most recent developments in this area.

We begin by outlining the main competing theories for how climatic conditions affect insect colour variation.

Second, we examine the evidence that insect colour is now evolving adaptively in response to climate change.

Following this, we address elements that may help or hinder colour evolution in reaction to climate change. Finally, we suggest avenues for future work and identify gaps in this area of study.

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A gravitational force is always attractive in nature and a magnetic force is attractive in nature between two opposite poles and repulsive in nature between two same pole.

Gravity and magnetism are not the same thing. These two ideas or expressions are entirely dissimilar from one another. Despite the fact that both are regarded as forces, they are two distinct forces with various traits and features.

First of all, gravity works between two objects regardless of their composition because it is a separate force. There will be gravitational forces between the items as long as they have mass. Any two things will be drawn toward one another by gravity or another gravitational force if they have mass.

Magnetism, on the other hand, mostly depends on the unique characteristics of the object. There are two directions for the magnetic force. It has the power to draw things together as well as away from one another. The orientation of the electrons inside the items also affects how magnetism behaves. With gravity and gravitational force, this is not the case.

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The resistance decreases when the conducting wire is quadrupled in length and tripled in diameter.

The electrical resistance of a circuit component or tool is defined as the ratio of the voltage applied to the electric present day which flows thru it: If the resistance is consistent over a widespread variety of voltage, then Ohm's regulation, I = V/R, may be used to predict the behavior of the fabric.

An less difficult way to explain resistance is to don't forget an example of someone in a crowded marketplace struggling to go from one keep to every other. This situation is in reality similar to an electron looking to make its way thru a wire.

If the temperature and different bodily variables stay constant, the resistance of a conductor is exactly proportional to its period.

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The force on the roof that has a surface area of 20000cm² with 100000Pa of pressure exerted is 5N.

Pressure is the amount of force that is applied over a given area divided by the size of this area.

The pressure of a substance can be calculated by using the following formula:

Pressure = Force × area

According to this question, a roof has a surface area of 20000cm². If the atmospheric pressure exerted on the roof is 100000Pa, the amount of force on the roof can be calculated as follows:

100000Pa = Force × 20,000cm²

20000F = 100000

F = 100,000 ÷ 20,000

F = 5N

Therefore, 5N is the force acting on the roof.

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Angular displacement: 10 rad.

linear displacement: 60 cm

In basic terms, angular velocity is the pace at which an item rotates or circles around an axis in time. "ω" is a Greek letter that stands in for angular velocity. Radians per second is the SI unit for angular velocity since it is expressed as an angle per unit of time.

Given that,

Radius of the CD below is 6.0 cm

Angular velocity is 5.0 rad/s.

As we know, angular displacement, (θ) = ω × t

or, θ = 5.0 rad/s × 2.0 sec

or, θ = 10 rad.

Next, linear displacement, (S) = R × θ

or, S = 6 cm. × 10 rad

or, S = 60 cm

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Answer:

because the carpet creates more friction when sliding across which makes it slower while the slickness of the wood makes less friction

The statement "when we observe the CMB light we are seeing back in time (farther away) than quasars -- the farthest galaxies we can see" is true.

The Cosmic Microwаve Bаckground, or CMB, is rаdiаtion thаt fills the universe аnd cаn be detected in every direction. The furthest light we cаn see is the CMB, which is the light left over from the Big Bаng, forming аt just 380,000 yeаrs аfter our cosmic birth.

The CMB light is the furthest back in time that we have seen, and we cannot see light from earlier times because that light was scattered and the universe was opaque. So, CMB cаrries informаtion аbout the very eаrly universe.

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The graphs  are helpful for displaying data because  they help you identify patterns in the data. Option (D) is correct.

A graph is a structure that resembles a set of items in discrete mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices (sometimes known as nodes or points), and each pair of connected vertices is known as an edge (also called link or line).

A graph is typically shown diagrammatically as a collection of dots or circles representing the vertices and lines or curves representing the edges. One of the topics studied in discrete mathematics is graphs.

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The system in which the energy is conserved in Isolated system.

The bike gain mechanical energy from heat energy (friction force).

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

The system must be isolated for the mechanical anergy to conserved. During the energy conservation, the kinetic energy of the bike from the ground level is converted into potential energy at the maximum height.

Mathematically, the formula for this energy conservation is written as;

Δ K.E = Δ P.E

where;

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The  time taken to travel 1.5 m across the inclined plane if it starts from rest at the top be 0.95second.

An inclined plane, sometimes referred to as a ramp, is a flat supporting surface that is tilted at an angle and used to help raise or lower a weight with one end higher than the other.

One of the six traditional simple devices that Renaissance scientists defined is the inclined plane. Heavy weights are transported over vertical obstacles using inclined planes. Examples include a ramp used to load cargo onto a truck, a pedestrian ascending a ramp, an automobile ascending a grade, and a train ascending a gradient.

Given that:

angle of inclination = 20°.

Length of the inclined plane = 1.5 m.

Acceleration along the inclined plane = g sin20° =

Hence, time taken to travel 1.5 m across the inclined plane if it starts from rest at the top = √(2l/gsinθ = √(2×1.5/9.8sin20°) second = 0.95second.

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The relationship between the phasor voltage and phasor current for inductance is  V=Z*I

According to its definition, it is the amount of electric current that varies at a rate of one ampere per second, producing an electromotive force of one volt across the inductor. Inductance is measured using the SI unit Henry, abbreviated as "H."

Current in the circuit flows due to voltage, which is the potential difference between two locations in an electric field. The term "current" refers to the rate at which electrons are moving. Current is a result of voltage (being an effect). Voltage has an effect on the current.

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The magnitude of force A is -50N and for the B is 200N

Magnitude is a measure of the size or intensity of something. It is usually the size of a physical quantity, such as a force, or an earthquake. It can also be used to refer to the degree of importance or intensity of an emotion, feeling or event. Magnitude is often expressed as a numerical value on a logarithmic scale. This scale is used to compare different physical quantities or events, such as the intensity of an earthquake or the power of a solar flare. Magnitude can also be used to describe the size, brightness or importance of an object, such as a star or a planet.

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Aluminum does have a density if 2.70 g/cm3 and a volume of 90.37 mL. A piece from aluminum weighs 244 g.

A block of the tougher, lighter element gold (Au), for example, will have a higher density than just a block of the heavy element lead (Pb) (Au). Bricks are more dense than Styrofoam blocks. Its meaning is mass per unit volume. To calculate a solid's volume, take its measurements, or use a measuring jug to calculate a liquid's volume. By putting the item or material on a scale, you may determine its mass. Divide the volume by the mass to determine the density.

The formula may be used to determine a substance's volume given its mass and density.

                 volume=mass/density

Considering the query we have,

                 volume=244/2.70

                  volume=90.37

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The magnetic field will point in anticlockwise direction

Fleming's right hand rule states that If the thumb shows the direction of motion, index finger shows the direction of the magnetic field and middle finger are held mutually perpendicular, then middle finger gives the direction of induced emf/current in the wire.

Fleming's right hand rule is used to determine the direction of an induced current in a coil.

Since the magnetic field and the induced current move in opposite directions, then if the induced current flows clockwise, the magnetic field will move in anticlockwise direction

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The mass trend that among four moons is highest close to Jupiter and decreases with distance, with the inner circular members of this group being slightly lesser than the two end moons.

There are several satellites in operation. They are used for a number of purposes, including as the weather forecasting, amateur radio, television broadcasting, and the Global Positioning System. They use telescopes to look out at the planetary system in order to do research and collect data.

According to UNOOSA statistics from the Concerned Scientists, there are 8,261 satellites orbiting Earth as of December 2022, although only 4,852 among them are currently in use.

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Answer:

It will condese to 47

Explanation:

As per as the table chart , Substance G melting point at 47 and boiling point at 120 so AS per as the chart

The Efficiency of an electric motor is 80%.

Efficiency=output work/dW

=200/250%

=80%

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Answer:

false, because the two are the exact same, at least in time