explain how your observation of the experiment either agreed with galileo or led you to a different conclusion. answer with three to five complete sentences and use proper grammar and mechanics.

The speed of the toy train travelling on a circle-shaped track is 2.0 m/sec also called velocity of the train.

The formula for centripetal acceleration is a = v2 / r, where a stands for acceleration, v for velocity, and r for radius. Rearranging terms:

v = sqrt(ra)

v = sqrt( [0.5 m * 8.0 m/sec^2] )

v = sqrt( 4.0 m^2/sec^2 )

v = 2.0 m/sec

The speed of toy train is 2.0 m/sec

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Answer:

V = 140 km/h

Explanation:

Velocity is the change in position over time.

We can use the equation V = Δx / t

Note that V is the average velocity.

We are given Δx and t. Lets solve for V.

[tex]V=\frac{540}{4}[/tex]

[tex]V=140[/tex]

[tex]\frac{km}{hour}[/tex]

V = 140 km/h

The work done by the person operating the jack is 4,800 J

Efficiency is described as the potential to perform something with the least quantity of wasted time, cash, and attempt or competency in performance. Effectiveness is described because the diploma to which some thing is successful in producing a preferred result; achievement.

calculation:-

work input = (1200 J)/(0.25)

= 4800 J.

There are numerous styles of performance, consisting of allocative and effective performance, technical efficiency, 'X' efficiency, dynamic performance and social efficiency.

The prime focus of performance is for customers to get the goods and offerings they want at the bottom possible resource price. Inside the have a look at of economics, the dreams of efficiency and equity are frequently in warfare with each other.

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(a) At time, t = 0.25 s, the y position of the driver is 0.31 m.

(b) At time, t = 0.50 s, the y position of the driver is 1.2 m

(c) At time, t = 0.75 s, the y position of the driver is 2.76 m

The position of the driver at the various time is determined by applying the following kinematic equation.

y = vt + ¹/₂gt²

where;

Since the driver runs horizontally, the initial vertical velocity = 0

y = 0 + ¹/₂gt²

y = ¹/₂gt²

at time, t = 0.25 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.25)²

y = 0.31 m

at time, t = 0.5 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.5)²

y = 1.2 m

at time, t = 0.75 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.75)²

y = 2.76 m

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The net force on the car during its deceleration =  9139.2 N

Deceleration is actually inversely related to acceleration. We know that acceleration is the rate at which an object is speeding up, and deceleration is the rate at which an object is slowing down. For example, when you brake while driving, deceleration is used to slow the vehicle.

Given, m= 1020 kg

u= 0 m/s

V = 94 km/h or 26.1 m/s

t = 10 s

For deceleration

u = 26.1 m/s

v = 0

S = 38 m

by equation of motion ;

v² = u² + 2as

0 = 26.1² + 38a

a = - 8.96 m/s²

Net force during deceleration:

F= m*a

F= 1020 × 8.96

F = 9139.2 N

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When using a schematic for troubleshooting, the best property to follow is the meter and is denoted as option B.

This is referred to as any type of device which is built to accurately detect and display an electrical quantity in a form which is readable by a human being.

Examples of meters which are used by people include voltmeter, ohmeter etc which are used to read voltage and current respectively. It is used to troubleshoot when schematics are used as certain parameters are detected and analyzed so as to detect the issue and solve it appropriately.

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the self-inductance is 0.425V.s/A

emf = L*di/dt

L = emf/ di/dt  = 51/120 = 0.425V.s/A

Self-inductance is a characteristic of the current-carrying coil that opposes or resists changes in the current that passes through it. The self-induced emf generated in the coil itself is mostly responsible for this. Self-inductance is a phenomenon that occurs when a voltage is induced in a current-carrying wire, to put it simply.

When the current increases or drops, the coil's self-induced emf will oppose both movements. Essentially, if the current is increasing, the induced emf's direction is opposite that of the applied voltage, and if the current is decreasing, its direction is similar to that of the applied voltage.

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Answer:

272.727N

Explanation:

Force is equal to the product of mass and acceleration. We know the mass of the person (60kg), so we just need to find how much they are decelerating when coming to a stop.

We do this using the motion equation v=u+at, where v is the final velocity, u is initial velocity, a is acceleration, and t is time. Noting 90km/hr=25m/s, we get:

0=25+5.5a

a=-4.5454545m/s^2

Force = mass * acceleration = 60 * 4.545 = 272.727N

The wise and economic use of energy sources is the best way of conserving existing energy sources because it ensures that energy sources that are not renewable such as petroleum are effectively managed so that they last for a longer time.

The conservation of resources refers to the various steps ad method employed to ensure that the existing resources are available for a long time and for future generations.

Conservation of energy sources involves effective and efficient use and management of energy sources so that they last longer. One way is the use of renewable energy.

One of the most important ways of the conservation of resources is the process of recycling to ensure that resources are reused.

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Option C, Since there is no refraction and light travels in almost the same direction in both the glass as well as the unknown liquid, their indexes of refraction are identical.

Moving from the atmosphere to the glass causes the light to slow down. A prism's angle is 60 degrees, and its green light refractive index is 1.5.

The many media, or matter particles, through which light passes were used to gauge both its speed and how it appears to the human eye. To discern the different light wavelengths, the speed should slow down when the white light is revealed via the prism.

The following formula is used to get the refractive index:

n₁ sinθ₁  = n₂sinθ₂  

where n₁ and n₂ represent the observed difference and represent the diffraction pattern between two liquids.

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A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force.

Magnetic Force:

A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force. This relates to the cross-product of the magnetic field and velocity.

Answer and Explanation:

(a) The magnetic force is given by

F=qvBsinθ

q=1.60×10−19C  , the charge of a proton

v is the velocity

B  is the magnetic field

θ  is the angle between the velocity and the magnetic field. Since the magnetic force is at maximum, then the velocity and the magnetic field is perpendicular.

Solving for the magnetic field:

B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T

By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.

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A particle travelling at a specific speed through a magnetic field experiences a force understood as the magnetic force.

The magnetic force is a force that is felt by a particle moving in a magnetic field at a particular speed. This has to do with the magnetic field and velocity's cross-product.

(a) The magnetic force is given by

F=qvBsinθ

q=1.60×10−19C  , the charge of a proton

v is the velocity

B  is the magnetic field

The angle between the magnetic field and the velocity is called. The magnetic field and velocity are perpendicular because the magnetic force is at its greatest.

B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T

By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.

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If there is a distance between the object and the image, the focus length is -0.021cm.

A lens's focal length is established when it is focused at infinity. We can determine the magnification—how large individual elements will be—and the angle of view—how much of the scene will be captured—by knowing the focal length of the lens. The narrower the field of view and higher the magnification, the longer the focal length.

Distance from object to picture d= 30 cm.

object distance = 53cm

We must determine the object's distance.

u - v =d

u = 30+53

u = 83cm

We must determine the focus length.

Using the lens

1/f = 1/v -1/u

in the formula, include the value

1/f = 1/-30 -1/83

1/f = -0.021cm

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When light passes through the first filter then it will also pass through the second filter. All of the light will pass through both filters.

Polarization:

Polarization is a property applied to transverse waves that specify the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular to the direction of motion of the wave.

When the axes of the first and second filters are aligned (parallel), then all of the polarized light passed by the first filter is also passed by the second. If the second polarizing filter is rotated, only the component of the light parallel to the second filter's axis is passed.

Therefore all the light will pass through both filters.

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0 m/s² is the acceleration of the bicycle

decelerates due west = velocity/time

decelerates due west =10/4

decelerates due west = -2.5

accelerates = velocity/time

accelerates = 10/4

accelerates = 2.5

net acceleration = -2.5 +.5

net acceleration= 0 m/s²

Acceleration is a vector variable that describes the rate at which an object changes its velocity. An object is considered to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second. The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, nothing that is moving at a steady speed is accelerating.

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Answer:B

Explanation:explanation

Newton's first law states that an object at rest will remain at rest, and an object in motion won't change its velocity while the equilibrium condition is met.

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The average coefficient of friction of the track on which the skier is travelling is 0.59.

According to work energy theorem, the work done by conservative forces and the non conservative forces on the body is equal to the change in kinetic energy of the body.

So here, we know that the skier is travelling with a speed of 11m/s and he glide a distance of 15 m.

Here, we can write,

Mgd + uMgd = ∆K

Where M is the mass of the body,

g ji is the acceleration due to gravity,

d is the distance travel by the glider,

K is the change in kinetic energy,

U is the coefficient of friction.

Putting values,

Mgd + uMgd = 1/2Mv²

2(gd + ugd) = v²

u = (v²/2-gh)/gd

u = ((11)²/2 -10×15)/10×15

u = 0.59

So, the average coefficient of friction is 0.59.

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Convex lenses when placed in the air, will cause rays of light (parallel to the central axis) to converge.

Converging lenses, commonly referred to as convex lenses, have thicker centers and narrower upper and lower margins. The edges are outwardly curled. This lens has the ability to concentrate a beam of parallel light rays coming from the outside onto a spot on the opposite side of the lens.

The image created is referred to be a genuine image when it is inverted relative to the object. On a screen, this kind of image can be recorded. When the object is positioned at a point farther than one focal length from the lens, a converging lens creates a true image.

A virtual image is one that cannot be produced on a screen and is formed when the image is upright in relation to the object. When an item is positioned within one focal length of a converging lens, a virtual image is created. It creates an enlarged image of the object on the same side of the lens as the image. It serves as a magnifier.

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The reason for using the power model to describe the relationship between the length and the period of the pendulum is because there is a linear relationship between the scatter plots of log (length) vs. log (period of pendulum), but none can be seen in the residual plot.

In the "Power Models" unit, discover which circumstances may be explained by power models, inverse power models, and quadratic models. Additionally, you'll learn how to use the formulae y = ax₂, y = ax₃, y = a/x₂, y = a/x₃, and y = ax₂ + bx + c to compare patterns in tables and graphs of models. Here, x₂ and x₃ are the length of the pendulums at particular instants.

In the framework of these models, they also begin to understand the idea of rate of change. Here, some skills are acquired, like visually solving quadratic equations and simplifying radical and exponential forms. Additionally, direct and inverse variation concepts and phrases are taught.

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The approximate mass of a star cluster whose most massive stars left on  main-sequence star is RMC 136a1 with the estimated mass of RMC 136a1 is 315 solar masses, a solar mass is equal to the mass of the sun. In general, it takes a very long time for stars to form.

It is also assumed that the stars in the cluster are homogeneous or have properties similar to each other. The amount of time a star stays in a staging or sequencing stage is determined by its mass.

A star cluster is one of two different forms of stellar assemblages that are bound together by the gravitational attraction of their individual members, who are linked together physically by a shared origin.

Therefore, a  study of the system by the Hubble Space Telescope found that the cluster is made up of over 200 extremely bright stars. The biggest one was called RMC 136a1. The estimated mass of R136a1 is 315 solar masses, where 1 solar mass equals the solar mass

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The radiative zone and core of the Sun are thought by scientists to revolve more like solid bodies than liquid ones. From the convective zone outward, the Sun's outer regions rotate at various rates that change with latitude.

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The ratio of the image's distance from the lens to the object's distance determines a lens's magnifying capability. Thus, the microscope's magnification factor m=m1m2.

Magnifying power is a lens's capacity to enlarge an image by how much. The least distance of distinct vision, or LDDV, and the focal length of the lens are directly correlated. Your eyes can easily focus on an object up to their LDDV.

By dividing the focal length of the scanning object (lens) by the focal length of the eyepiece, the magnifying power is computed. A 1x magnification power results in a 100% increase in the size of the thing being enlarged. A 1-inch object, for instance, would appear to be 2 inches at 1x.

The ratio of the angle the image at the eye occupies to the angle the object occupies is known as the magnifying power of the microscope.

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The acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N/kg.

The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.

Acceleration (a)

Mass (m) = 10 kg

Force (F) = 200 N or Newton

∴  a = F / m

=> a = 200 N / 10 kg

=> a = 20 N / kg

So, the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N / kg.

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Luisa is setting up a simple studio for her photography shoot using bulb inside a reflective shell that directs light forward and then clips it to the edge of table. The device that Luisa is using is called clamp light.

Clamp light is a kind of lighting fixture used in films that is to hold a screw-in light bulb and sometimes it may also have an aluminum reflector dish and light is mounted with a spring clamp on one side of an open door.

Clamp lights are good addition to any artists or photographers. These are compact as well as portable. These lighting fixtures contain a gripping device so that it can be easily attached to tables, beams and other surfaces.

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Wavelength is (c) the distance between two neighboring troughs in a wave.

Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal travelling through space or over a wire. Si unit of wavelength is meter. In wave motion, velocity of wave = wave length × frequency.

Hence, wavelength is a distance between two neighboring identical points such as troughs of a wave. so, option (c) is current answer.  

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The energy stored by the capacitor decreases by 1/K J.

A capacitor is a device that shops electrical electricity in an electric-powered discipline by virtue of gathering electric prices on close surfaces insulated from each other. it's miles a passive electronic thing with terminals. The impact of a capacitor is known as capacitance.

Calculation:-

Energy stored in an air-filled Capacitor = 30 J

  = Q²/2C = U = 30 J

Now, the power source is disconnected and the dielectric is inserted.

Since there is no source to provide a charge, So charge remains constant.

Noe, capacitance is increased to K times of initial capacitance

C' = KC

U' = Q²/2C'

    = Q²/2KC

    = 1/k (Q²/2C)

   = 1/K × 30

  = 30/K J

Hence, the energy decreases with the inserting dielectric.

The capacitor is a device for storing electrical power, along with two conductors in near proximity and insulated from every other. A simple instance of this type of storage tool is the parallel-plate capacitor. the main function of capacitors is to save electrostatic electricity in an electric area, and deliver this power to the circuit, when vital. They allow the AC to skip but block the drift of DC to avoid a risky breakdown of the circuit.

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Missing mass converted into energy.

Four hydrogen nuclei (photons) combine to form a helium nucleus in the fundamental hydrogen fusion cycle. In the star's core, throughout this fusion cycle, energy is released; in other words, energy is released during this process.

Compared to the original four protons that joined together, the final helium-4 atom weighs less (see E=mc2). Because of this, the mass-energy equivalence of their interaction causes an excess of energy to be released from the Sun as heat and light.

The sun and the stars are propelled by fusion. In one instance of this kind of reaction, two hydrogen atoms combine to create an atom of helium. During the process, a portion of the hydrogen's mass is transformed into energy.

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