A 1.5 kg ball is kicked with an initial velocity of 26 m/s at an angle of 30 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.

Answers

Answer 1

The maximum height travelled by the ball before returning to the ground is 8.62 m.

What is the maximum height travelled by the ball?

The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.

H = (u²sin²θ) / 2g

where;

u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravity

H = (26² (sin 30)²) / (2 x 9.8)

H = 8.62 m

Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.

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Related Questions

a 60-kg uniform board 2.4 m long is supported by a pivot 80 cm from the left end and by a scale at the right end. how far from the left end should a 40-kg child sit for the scale to read zero?

Answers

Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.

Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)

0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)  

Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:

mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392

when Force = 100 N

note 1.6Force = 160 235.2 (0.80 -x)

160 + 392(0.8 - x) = 235.2

x = 0.61 m

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the current in an inductor is changing at 120 a/s and the inductor emf is 51 v. what's the self-inductance?

Answers

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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you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? catch the ball. deflect the ball. your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.

Answers

Catching the ball would result in a reduced speed.

Simply put, what is a momentum?

A quality that a moving body possesses due to its mass and motion, and which is equal to the sum of the body's mass and velocity.

You ought to catch the ball to reduce the pace of the skateboard.

Assume that "M" is the ball's mass, "m" is the skater's mass, "V0" is the speed at which the ball was thrown, and "Vs" is the skater's speed.

If the skater catches the ball according to the law of conservation of momentum:

[tex]M*V_{0}+ m*0=(m + M)*V_{s}[/tex]

[tex]V_{s}=\frac{M*(V_{0}-V_{s })}{m}[/tex]

The ball will assume a new velocity with a direction opposite to that of the skater if the skater deflects the ball; let that new velocity be "Vb":

Since:

[tex]V_{0}-V_{s} < V_{0}+V_{b}[/tex]

Catching the ball would result in a reduced speed.

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The question you looking for

You are standing on a skateboard, initially at rest. A friend throws a very heavy ball towards you. You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). What should you do in order to MINIMIZE your speed on the skateboard?

Choose one of the following three answers.

A) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.

B) You should catch the hall.

B) You should deflect the ball

luisa is setting up a simple and cheap studio for her photography shoot by using a bulb inside a reflective shell that directs light forward and clips to the edge of a table. what is this device that luisa is using called?

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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.

What is the importance of 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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suppose that a microscope has an objective whose focal length is 1.00 mm and an eyepiece whose focal length is 25.0 mm. what is the magnifying power (m)) of the microscope? group of answer choices 25x 0.04x we need more information to calculate mp. 625x 160x

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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.

Explain about magnifying power?

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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Protons carry ___ compared to electrons.
A) an equal magnitude of charge
B) more magnitude of charge
C) less magnitude of charge
Pick ONE only.

Answers

Answer:

Explanation:

Protons carry   an equal magnitude of charge compared to electrons.

A) an equal magnitude of charge

Protons carry an equal magnitude of charge compared to electrons. Thus, option A is correct.

A proton is a stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of the opposite sign.

An electron is a stable subatomic particle with a negative electric charge, found in all atoms, and acts as the primary carrier of electricity in solids.

Although the mass of a proton is much larger than that of an electron, the magnitudes of their charges are equal.

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a ray of green light travels through air and is refracted as it enters a glass prism shown in the figure. an unknown liquid is in contact with the right side of the prism. the light then follows the path shown. which one of the following statements concerning this situation is true? a) the frequency of the light changes inside the prism. b) the index of refraction of the glass is smaller than that of air. c) the index of refraction of the unknown liquid is the same as that of the glass. d) the speed of light is larger in the liquid than in the glass. e) the refractive index of the liquid is the same as that of air.

Answers

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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Which choice tells the main causes of convection currents in the asthenosphere? question 5 options: density and temperature temperature and pressure density and weight weight and pressure

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The main causes of convection currents in the asthenosphere are density and temperature.

Convection currents move heat from one location to another by utilizing the mass motion of a fluid such as water, air, or molten rock. Convection differs from conduction. Convection is process of transferring heat through the bulk movement of molecules in fluids such as gases and liquids.Convection currents are formed when a heated fluid expands and becomes less dense. The less dense heated fluid rises away from the source of heat. It pulls cooler fluid down to replace it as it rises. This hot fluid rises and pushes down more cool fluid. This cycle creates a circular circulation that only ends when heat is dispersed equally throughout the fluid.

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in hydrogen fusion, four protons crash into each other to produce a helium nucleus. but the helium nucleus (and other particles created in the reaction, such as neutrinos) is less massive than the protons that form it. what happens to the missing mass?

Answers

Missing mass converted into energy.

How does the fusion of four hydrogen atoms into helium atoms occur?

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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a toy train is traveling along a circular track at a constant speed. the acceleration of the train is found to be 8.0 m/s2 . if the radius of the track is 0.5 m, what is the speed of the train?

Answers

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

How to find Speed ?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.Circular motion is defined as the movement of an object when its distance from the centre remains constant.The object is rotating in a circle at a constant speed; therefore, when the direction of motion changes, the velocity changes.When a moving object changes direction while maintaining its speed, it experiences a centripetal acceleration (ac), also referred to as a radial acceleration since it acts at right angles to the velocity at any given moment and is directed toward the centre of a circle.

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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A sample of gas has a pressure of .87atm at 25 ˚C. What is its pressure when the temperature is increased to 50˚C?

Answers

Gay-Lussac's Law

It states that: "At constant volume the pressure of a gas sample is directly proportional to the absolute temperature."

This means that doubling the pressure of the gas will cause its absolute temperature to double.

Mathematically this law is expressed as:

       [tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\dfrac{P_{1}}{T_{1}}=\frac{P_{2}}{T_2} \iff \ P_1T_2=P_2T1 } \end{gathered}$} }[/tex]

We have that the data is:

P₁ = 0.87 atm

T₁ = 25 °C + 273 = 298 K

T₂ = 50 °C + 273 = 323 K

P₂ = ?

We clear for the final pressure:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{P_1T_2}{T_{1}} } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{(0.87 \ atm)\cdot(323\not{k})}{298\not{k}} } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=0.94 \ atm } \end{gathered}$}}}[/tex]

If the temperature increases to 50°C, its new pressure will be 0.94 atm.

Serena travels 1100m in 26.2s. How many significant digits should be in your answer?

Answers

The speed of Serena in the correct number of significant  figures is  43.00 m/s

What is the speed?

The term speed is defined as the ratio of the distance to the time that is taken. Let us recall that speed is a vector quantity hence we do not need to use the direction in finding the speed at all.

We now have the following;

Distance travelled =  1100m

Time taken = 26.2s

Speed of Serena = 1100m/26.2s

= 42.98 m/s

The speed of Serena to the correct number of significant figures is 43.00 m/s.

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You throw a ball straight up with a velocity of 25 m/s. How high will it reach before it begins falling back down? How long will it take to come back down and hit you on the head? How fast will it be going?

Answers

Answer:

1. It will reach a height of 31.877m

2. 5.102 seconds

3. -11.456 m/s

Explanation:

Moving a charge from point A
A
, where the potential is 350 V
V
, to point B
B
, where the potential is 130 V
V
, takes 4.7×10−4 J
J
of work.

Answers

Answer:

Explanation:

Given:

φ₁ = 350 V  -  potential of point A

φ₂ = 130 V - potential of point B

A = 4.7·10⁻⁴ J - Work of the electric field

______________________

Q - ?    

The magnitude of the electric charge:

Q = J / Δφ

Potential difference:

Δφ = φ₁ - φ₂ = 350 - 130 = 120 V

Then:

Q = J / Δφ = 4.7·10⁻⁴ / 120 ≈ 3.9·10⁻⁶  C  or  Q

Q = 3.9 mkC  

When using a schematic for
troubleshooting, which of these is the best
property to follow?
A. the service
B. the meter
C. the power

Answers

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

What is Meter?

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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. an object is placed 53.0 cm in front of a diverging lens. what is the focal length if the distance between object and the image is 30.0 cm?

Answers

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

How long is the focal point?

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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what is a wavelength? a. The distance from the crest to its neighboring trough in a ways. b. The number of ways in a given period of time. c. The distance between two neighboring troughs in a wave. d. The direction of the wave

Answers

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

What is wavelength?

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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4. A bicycle decelerates due west from 10m/s to rest in 4 seconds and uniformly accelerates due east to reach its original speed in another 4 seconds. A) The acceleration of the bicycle B) I) plot the speed - time li) velocity - time Ii) distance- time iv) displacement - time (v) acceleration - time. From the graph find( c) (I) the distance traveled (ii) the displacement (III) average speed and (iv) average velocity​

Answers

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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there are two different objects of different masses. object a has a mass of 50 kgs and object b has a mass of 30kgs. which object will have more inertia and why?

Answers

The object that will have more inertia would be object A.

Inertia is the tendency for an object to remain unchanged unless acted upon by an external (or unbalanced) force. Object A would have more inertia essentially because it weighs more than object B. With more mass comes more resistance, meaning object A would be more difficult to budge. Because it takes more force for object A to move, we know that object A has more inertia.

what is the approximate mass of the most massive stars left on the main sequence of this star cluster?

Answers

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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when a star is moving towards us (the earth) due to a planet orbiting it and tugging on it, we see a blue shift in the star's spectrum. this corresponds to what in terms of its radial velocity?

Answers

When the radial velocity is positive, it means the distance between the objects is or was becoming closer; when it is negative, it means the distance between the source and the observer is or was getting closer.

What is radial velocity?

The portion of a particle's velocity that is moving in the direction of its radius vector. or radial motion, which is the speed at which an observer approaches or recedes from a celestial body or other source of radiation in the line that connects the two: speed in the visual field.

This technique is one of the detection methods that enables us to calculate an exoplanet's mass, a crucial factor in the hunt for worlds similar to Earth and other extraterrestrial life.

Radial velocity has been used to locate hundreds of distant planets and was the first effective approach for exoplanet discovery. Because stars do not need to be continuously monitored as they do with transit photometry, it is perfect for ground-based telescopes.

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which of the glass lenses above, when placed in air, will cause rays of light (parallel to the central axis) to converge?

Answers

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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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.

Answers

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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a proton, traveling with a velocity of 4.1 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 8.8 10-14 n and a direction of due south. what are the magnitude and direction of the magnetic field causing the force?

Answers

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.

What is 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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a very well insulated air-filled capacitor is charged and stores 30 j of electric energy. after the capacitor is disconnected from the power source, a dielectric sheet is inserted between the plates which fills the entire space between the plates. after this, the energy stored by the capacitor is:

Answers

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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Find the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons.

Answers

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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Your car is going to make a 400 meter run. Your car will start at rest and accelerate at a rate of 5.89 m/s/s until it reaches top speed. This process will last for 5.83 seconds. The remainder of the run will take place at top speed. Predict the top speed and the total time of the run.

Answers

The top speed of the car is 34.34 m/s and the total time of the run is 11.65 seconds.

What is the top speed of the car?

The top speed of the car is the final or maximum speed of the car and can be determined by applying the following kinematic equation.

v = u + at

where;

v is the final speed of the car or top speed of the caru is the initial speed of the cara is the acceleration of the cart is the time of motion of the car

The initial velocity of the car = 0, since the car started from rest.

The final equation for the top speed of the car becomes;

v = 0 + at

v = at

The given parameters include the following;

v = 5.89 m/s²  x   5.83 s

v = 34.34 m/s

The total time of the run is calculated as follows;

s = ut + ¹/₂at²

where;

u is the initial velocity = 0t is the total time of the runs is the total distance

s = 0 + ¹/₂at²

s = ¹/₂at²

t = √(2s/a)

t = √(2 x 400 / 5.89)

t = 11.65 seconds

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consider a uniform solid sphere of radius rrr and mass mmm rolling without slipping. which form of its kinetic energy is larger, translational or rotational?

Answers

The form of kinetic energy is that is larger is translational kinetic energy.

The translational kinetic energy is given by,

TK = 1/2mv²

m is the mass of the sphere,

v is the translational speed of sphere.

The rotational kinetic energy is  given by,

RE = 1/2IW²

I is the moment of inertia,

W is the angular speed of the sphere.

The moment of inertia of the solid sphere is 2/5mr²

r is the radius of the sphere,

Angular speed W = v/r

Putting these values,

RE = 1/2 x 2/5mr² x v²/r²

RE = (1/2 x 2/5)mv²

RE = 1/5mv²

Comparing both the energy we can see,

The translational kinetic energy is more as compared to rotational kinetic energy.

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The wise and economic use of energy sources is the best way of conserving existing energy sources. Justify this statement.​

Answers

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.

What is the conservation of resources?

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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2. It takes 1,200 J of work to lift a car high enough to change a tire.
How much work must be done by the person operating the jack
if the jack is 25% efficient?

Answers

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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