the speed of the incoming water is 30 cm/s and the cross-sectional area of the hose carrying the water is 3.0 cm2. 1) determine the time required for a 25-l container to be filled with water. (express your answer to two significant figures.)

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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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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Mass refers to a body of matter's resistance to changing its speed or location in response to the application of a force.

In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter.It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force.The change caused by an applied force is smaller the more mass a body has.

The work done to place the box at tree house=350 J.

The distance from ground to tree house =4.0 m and g = 9.8/8²

E =mgh

m = 350 J / (9.8/8²* 4.0m)

m=8.929kg

Hence the mass of the box is 8.929kg

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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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Catching the ball would result in a reduced speed.

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

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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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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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  

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

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;

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

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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Area in physics can be found by division of the area into simple figures such as triangles, rectangles and trapezoids and offsets from a straight line.

Area is a measure of how much space is there inside a shape and calculating the area of a shape or surface can be useful in everyday life.

The amount of surface a two-dimensional shape can cover which is measured in square units is called area and the SI unit of area is the square meter.

Area = length x breadth and  Area = π × radius × radius - formulas can be used for finding area of different quadrilaterals.

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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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It  would be half of (1/2) acceleration due to gravity on an object near the surface of that planet compare to our g.

Gravity on the planet (g') = [tex]\frac{GM}{R'^{2} }[/tex] = G(ρx [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]R^{3}[/tex])/[tex]R'^{2}[/tex]

Where R' is the radius of the planet.

g' = [tex]\frac{4}{3}[/tex][tex]\frac{\pi GPR'}{1}[/tex]

gravity on the Earth (g) = G[tex]M_{E}[/tex]/RE

                                      = G([tex]\frac{P 4/3\pi R_{E} ^{3} }{R_{E^{2} } }[/tex])

                                  g  =  4/3 [tex]\pi[/tex]GP[tex]R_{E}[/tex]

Now, g'/g = R'/[tex]R_{E}[/tex] =  [tex]R_{E} 2[/tex]/[tex]R_{E}[/tex] = 1/2

              g' = 1/2

it would be half of g.

Acceleration is defined as  the rate of change of velocity with respect to time.  Acceleration is a vector quantity because it has both magnitude and direction. It is also the second derivative of position with respect to time or  the first derivative of velocity with respect to time. The SI unit of acceleration is  as [tex]m/s^2[/tex].

An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in  direction of motion. Some examples of acceleration are a falling  apple, the moon orbiting  the Earth, or  a car stopping at a traffic light.

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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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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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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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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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The magnitude of the change in momentum is twice the initial momentum 2mV.

Momentum is the same as the mass of an item elevated by using its pace and is equal to the pressure required to bring the item to a stop in a unit length of time.

Calculation:-

mass of the ball = m

Let the initial velocity coming the vertical wall is = +v

  Final velocity bouncing back from the wall = - V

momentum = mv

Change in momentum = m ( final velocity - initial velicity)

                                      =  m ( -V - V)

                                       = - 2mV

Only magnitude = 2mV.

Linear momentum, translational momentum, or true momentum is manufactured from the mass and speed of an item. it's far a vector quantity, possessing a magnitude and a course. If m is an object's mass and v is its velocity. Momentum is a dimension of mass in movement. How tons mass is in how much movement. additionally, it is given the symbol p.

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Answer:

1. It will reach a height of 31.877m

2. 5.102 seconds

3. -11.456 m/s

Explanation:

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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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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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.

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

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;

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;

s = 0 + ¹/₂at²

s = ¹/₂at²

t = √(2s/a)

t = √(2 x 400 / 5.89)

t = 11.65 seconds

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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]

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