A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. If air resistance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?.

The distance between the stations is 1320 m

We'll begin by calculating the distance travelled by the train in the first 20 s. This can be obtained as follow:

s = ut + ½at²

s = (0 × 20) + (½ × 1.1 × 20²)

s = 0 + 220

s = 220 m

The distance between the stations can be obtained as illustrated below:

Total distance = 220 + 110

Total distance = 1320

Thus, the distance between both stations is 1320 m

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The nail head has a zero.39 cm diameter. You strike it with a hammer that has 27 N of force. at the nail head, there might be a stress head of 31100716.5 Pa.

Pressure P = Force(F) / Area(A)

On nail head = P = [tex]\frac{F}{\pi r^{2}}[/tex]

[tex]= \frac{f}{\pi (\frac{d}{2} )^{2} }[/tex]

[tex]= \frac{4F}{\pi d^{2} }[/tex]

[tex]P = \frac{25*4}{3.14*0.0032^{2} }[/tex]

= 3110071.65 Pa

Pressure at the end of the nail P = [tex]\frac{F}{A}[/tex]

[tex]P = \frac{25*4}{3.14*0.00032^{2} }[/tex]

P = 31100716.5 Pa

pressure is the ratio of the force applied perpendicularly to an object's surface to its location. Its abbreviation is "p" or "P."

A fluid column whose weight is similar to the fluid's strain is represented with the aid of the strain head.

The elevation head represents the gravitational capacity energy resulting from elevation, even as the pressure head reflects the energy because of pore fluid stress

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In an aquarium 2 m long, 1 m wide, and 1 m deep, the work needed to pump half of the water is 2452.5 J

Work done is defined as the integral of force multiplied with distance.

So, the formula goes as W=[tex]\int\limits^a_b {Fx} \, dx\\[/tex]

Force can be written in terms of density as

F = m * g = ρVg

v = 2x1x1 = 2[tex]m^{3}[/tex]

so, work done will be

W = [tex]\int\limits^{0.5}_0 2*1000*9.81* {x} \, dx[/tex]

= 19620[tex](\frac{x^2}{2} )\left \{ {{0.5} \atop {0}} \right.[/tex]

W = 19620 [tex]\frac{(0.5)^2}{2}[/tex]

W= 2452.5 J

Thus, the work that is needed to be done to pump half the water = 2452.5 J

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The upper cutoff accelerometer is made with a crystal of natural frequency of the accelerometer is 7.334 KHz.

An accelerometer is a tool that precisely measures acceleration. Proper acceleration is the acceleration of a body in its own instantaneous rest frame, as opposed to coordinate acceleration, which is acceleration in a fixed coordinate system.

Accelerometers are devices that measure the acceleration or vibration of a structure. They have a transducer that converts mechanical force caused by vibration or a change in motion into an electrical current by using the piezoelectric effect.

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The series combination will give you the resistance of 200ohm when two 100ohm resistances are connected.

Resistance is a device used to restrict the flow of the current. By using ohm's law the resistance is the ratio of the potential difference applied across the circuit and the current flowing through the circuit.

Given that you quickly need a 133-ω resistance value but only have a collection of 100-ω resistors.

For this case use the series combination of the resistances in which the resistances are connected in series by doing so the effect of resistance is increased.

R = R1 + R2

If you have two 100 ohm resistances connect them in the series.

R = R1 + R2

R = 100 + 100

R =200 ohm

Therefore, the series combination will give you a resistance of 200ohm when two 100ohm resistances are connected.

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When randomly arranged low-energy protons enter the magnetic field they become static and parallel with the main magnetic field and net magnetization.

The magnetic moments of each individual hydrogen atom are added to create the net magnetization vector in MRI. Individual magnetic moments are arbitrarily oriented when there is no external magnetic field, and because they are in opposition, the net magnetization vector is thought to be zero.

The intensity of magnetization, or just magnetization, is the term used to describe the magnetic dipole moment per unit volume of a substance (M). The relationship between the applied magnetic field (H) and the material's internal magnetic flux density or magnetic induction (B) is linear.

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Most commonly observed phenomena with light can be explained by waves. But the photoelectric effect suggested a particle nature for light

Publicized early in the debate about whether light was composed of particles or waves, a wave-particle dual nature soon was found to be characteristic of electrons as well.

The evidence for the description of light as waves was well established at the turn of the century when the photoelectric effect introduced firm evidence of a particle nature as well.

On the other hand, the particle properties of electrons was well documented when the DeBroglie hypothesis and the subsequent experiments by Davisson and Germer established the wave nature of the electron.

The details of the photoelectric effect were in direct contradiction to the expectations of very well developed classical physics.

The explanation marked one of the major steps toward quantum theory.

The remarkable aspects of the photoelectric effect when it was first observed were:

1. The electrons were emitted immediately - no time lag!

2. Increasing the intensity of the light increased the number of photoelectrons, but not their maximum kinetic energy!

3. Red light will not cause the ejection of electrons, no matter what the intensity!

4. A weak violet light will eject only a few electrons, but their maximum kinetic energies are greater than those for intense light of longer wavelengths.

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The height of the cliff from the rock is thrown with an initial velocity of 8.2 m/s is 56.14 m

The formula for the downward vertical launch and the procedure we will use is:

y = V₀*t + (gt²) /2

Where:

Information about the problem:

With the information gave, we can calculate the height from the rock is thrown, using the formula of downward vertical launch:

y = V₀*t + (gt²) /2

y = (8.2 m/s * 2.65 s) + [9.8 m/s² *  (2.65 s)²] /2

y = (21.73 m) + [9.8 m/s² * 7.0225 s²] /2

y = (21.73 m) + 68.821 m /2

y = 21.73 m + 34.41 m

y = 56.14 m

In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.

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The mass of silver chloride  be produced from 1.39 ll of a 0.209 mm solution of silver nitrate is 28.3g.

With the chemical formula AgCl, silver chloride is a substance. The poor solubility of this white crystalline solid in water is widely recognised. Silver chloride undergoes a conversion to silver upon lighting or heating, which is shown by the coloring of certain samples changing from grey to black or purple.

used to create alloys, polish mirrors, and electroplate metals. used as a countermeasure that, when combined with the toxin, produces a safe chemical product. utilised in pharmaceuticals, and photographic films employ silver salts.

[tex]2{\rm{AgN}}{{\rm{O}}_3}\left( {aq} \right) + {\rm{CaC}}{{\rm{l}}_2}\left( {aq} \right)\longrightarrow{{}}2{\rm{AgCl}}\left( s \right) + {\rm{Ca}}{\left( {{\rm{N}}{{\rm{O}}_3}} \right)_2}\left( {aq} \right)[/tex]

[tex]\begin{array}{l}\\{\rm{Molarity}} = \frac{{{\rm{Moles}}}}{{{\rm{Volume}}}}\\\\0.209{\rm{ M}} = \frac{{{\rm{Moles}}}}{{1.39{\rm{ L}}}}\\\\{\rm{Moles}} = \left( {0.209{\rm{ mol/L}}} \right)\left( {1.39{\rm{ L}}} \right)\\\\{\rm{ = 0}}{\rm{.198 mol}}\\\end{array}\\[/tex]

[tex]\frac{{\left( {0.198{\rm{ mol AgN}}{{\rm{O}}_3}} \right)\left( {2{\rm{ mol AgCl}}} \right)}}{{\left( {2{\rm{ mol AgN}}{{\rm{O}}_3}} \right)}} = 0.198{\rm{ mol AgCl}}[/tex]

[tex]\begin{array}{l}\\{\rm{Moles}} = \frac{{{\rm{Mass}}}}{{{\rm{Molar mass}}}}\\\\0.198{\rm{ mol}} = \frac{{{\rm{Mass}}}}{{143{\rm{ g/mol}}}}\\\\{\rm{Mass}} = \left( {0.198{\rm{ mol}}} \right)\left( {143{\rm{ g/mol}}} \right)\\\\{\rm{ = 28}}{\rm{.3 g}}\\\end{array}[/tex]

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A beaker (glass jar) contains 1 kg of water; when converted to a volume measurement it is the same as: 1,000 ml 1,000 l 1,000 cm 3

Volume of water in ml  = 1000 ml

Volume of water in cm³ =  100cm³

Given that

To find

So, According the question

We have

For convert it in volume, we can follow some simple steps

So, we know

            [tex]= \frac{1}{1000}[/tex]

       volume of water in m³  v = 0.001 m³

   3. Now volume of water in ml = 0.001 × 10⁶ = 1000 ml

   4 . Now volume of water in cm³ = 0.001 × 10⁵ = 100cm³

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The overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.

Efficiency is the capacity to achieve something or get the desired outcome without wasting resources, time, money, energy, or effort.

It is given that:

A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour.

As we know,

Thermal efficiency Te = (W/Q)x100

m(coal) = 60 tons/h = 50/3 kg/s

The heating value of the coal is 30,000 kj/k = 30 MJ/kg

Q = (50/3)30

Q = 500 MW

Te = (150/500)100

Te = 30%

Thus, the overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.

The question is incomplete.

The complete question is:

A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour. If the heating value of coal is 30,000 KJ/kg, determine the overall efficiency (in %) of the plant.

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The magnitudes of the electric field at the following distance 0cm,10cm,40cm,72cm are 0,5.2 x 105 N/C,2.1 x 106 N/C and 6.42 x 105 N/C.

An electric field is a physical field that surrounds a charged particle and exerts a force on all other charged particles in the field to attract or repel each other. Electric fields are generated by electric charges and time-varying currents. Both electric and magnetic fields are manifestations of the electromagnetic field, one of nature's four fundamental interactions (also called forces). Electric fields are important in many areas of physics and are used in electrical engineering. For example, in atomic physics and chemistry, the electric field is the gravitational force that holds atomic nuclei and electrons together. It is also the force responsible for the chemical bonds between atoms that form molecules.

R = 40 cm = 0.4 m ; q = 31.9 \muC = 32 x 10-6 C ;

We need to find the expression for E field for given geometry.

from Gauss law,

(r). dA = Qin/ e0

E(r) \oint dA = Qin/ e0

E(r) . 4 pi r2 = Qin/ e0

E(r) = Qin/4 pi[tex]r^{2}[/tex]

For, Qin = Q (4 pi r3 / 4 pi R3) = Q (r/R)3 putting this in above equation

E(r) = Q r3/4 pir2

R3 = E(r) = Q r /4 piR3

E(r) =  Q r /4 pi R3 (1)

For, Qin = Q

E(r) = Q/4 pi r2   (2)

(a) Since r = 0 is r < R

Using 1

E(r) = E(0) = 0

(b) r = 0.1 m

Again using 1

E(r) = Q r /4 piR3

E(0.1) = 9 x 109 x  37 x 10-6 x 0.1 / (0.4)3 = 5.2 x 105 N/C

Hence, E(0.1) = 5.2 x 105 N/C

(c) r = 0.4 m

We will use (2) here

E(r) = Q/4 pi r2  

E(0.4) = 9 x 109 x  37 x 10-6 / (0.4)2 = 2.1 x 106 N/C

Hence, E(0.4) = 2.1 x 106 N/C

d)r =0.72 m

We will use (2) here

E(r) = Q/4 pi r2

E(0.72) = 9 x 109 x  37 x 10-6 / (0.72)2 = 6.42 x 105 N/C

Hence, E(0.4) = 6.42 x 105 N/C

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Once the object is dropped ,The only force acting on it is gravity.so acceleration due to gravity is 9.8 m/[tex]s^{2}[/tex].

Given,

Initial velocity = u = 0

Time taken = t = 0

Acceleration = g = 9.8 m/[tex]s^{2}[/tex]

Using [tex]3^{rd}[/tex] equation of motion ,

v = u + at

v =( 0 )+ (9.8) *(3)

v = 29.4

v≈ 30 m/s

So, the speed of object is 30 m/s.

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If liquid water at 30 degrees Celsius is flowing in a pipe and the pressure drops to the vapor pressure, the water starts to boil

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The pressure is 22.59 x 10⁵ Pa.

We need to know about pressure to solve this problem. Pressure is unit that describe how much force applied on a surface area. It can be determined as

P = F / A

where P is pressure, F is force and A is area.

From the question above, we know that

d = 0.39 cm = 0.0039 m

F = 27 N

Calculate the surface area of the nail

A = π . r²

A = π . (1/2 . d)²

A = π . (1/2 . 0.0039)²

A = 1.195 x 10¯⁵ m²

Determine the pressure

P = F / A

P = 27 / (1.195 x 10¯⁵ )

P = 22.59 x 10⁵ Pa

Hence, the pressure is 22.59 x 10⁵ Pa.

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Answer:

change in speed) / (time for the change)

              and the direction of the change.

Acceleration  =  (60 - 0) km per hour / 5 sec  =  12 km per hour per second, east.

I hear teachers all over the country complaining about that ugly unit.

It has to be changed to a more familiar unit of acceleration.

(12 km/hour) x (1 hour/3600sec) = 12,000/3600 = 3-1/3 meter/sec.

His acceleration is  3-1/3 meters per second² .

Explanation:

a

Answer:

u=0

v=60 km/ hr

60 \times 1000 \\ 60 \times 60 = 1800

t =5

t = 5 \times3600 = 18000

a= ?

a = v - u \div t

= 1800 - 0 \div 18000 \\

1m/s^2\: ans

The x ray photons have 885234000 J of energy, and the g-ray photons have an energy of 5.57 x 10^12 J in a total of 1 mol of each of these.

The distance calculated over which a periodic wave's shape repeats itself is known as the wavelength in physics. This wavelength can be described as the space between waves' crests, particularly between electromagnetic or sound wave points.

The distance that any kind of a wave travels between its crests or troughs, it is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave).

Here we have to use the formula

E= hc/λ

To calculate energy of x-ray photons, we have

a) E = [6.626 x 10^(-34) x 3 x 10^8] / 0.135 x 10^(-9)

⇒ E= 1.47 x 10^(-15) J per photon

Using Avogadro's number, the energy calculated per mole can be calculated as

E= 1 mol x 6.022 x 10^23 x 1.47 x 10^-15

E= 885234000 J

Then for the energy of g-ray photons, can be calculated as

b) E = [6.626 x 10^(-34) x 3 x 10^8] / 2.15 x 10^(-14)

E= 9.25 x 10^-12 J per photon

Then using Avogadro's number, we have

E = 1 mol x 6.022 x 10^23 x 9.25 x 10^-12

E = 5.57 x 10^12 J

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dimension = 30.0 m ✕ 15.0 m ✕ 5.0 m.

density = 1.20 kg/m3

(a)volume = lenght * breadth * height

      = 30 * 15 * 5

      = 2250 metre cube = 2.25 cubic meter

(b)   mass of air = density * volume

        mass of air = 1.2 * 2250

mass of air = 2700kg

weight  = mass * 9.8

             = 2700 * 9.8

             = 26,460 N

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The capacitance of the capacitor varies with time. i'm doubtful if this RC circuit should be called a linear circuit.

According to the definition, a linear circuit obeys principle of superposition . The RC circuit with variable capacitor still obeys principle of superposition at any instant of time.

On the opposite hand, traditional analysis techniques for linear circuits might not be applicable for the analysis of this RC circuit.

A device or system is said to be time-invariant if and only if shifting in time its zero-state response by some constant always results in only shifting in time its zero-state response by that same constant, valid for all time, all possible inputs, and every one possible time shifts.

If the capacitance varies only with time, then that's a linear time-variant capacitor. If the resistance is constant or may be a function of time only, then that's a linear time-invariant or linear time-variant resistor respectively. therefore the RC network is linear time-variant. (It is time-variant due to the capacitor, whether the resistor is time-invariant or time-variant.)

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The number of electrons lost is 3.69 * 10^8 electrons

We know that charge that is carried by an electron has the magnitude of 1.6 * 10^-19C. In this case we have been asked to obtain the number of electrons that could be lost in the process and we have the charge as 59pc.

Knowing that;

Q = ne

Q = magnitude of charge

n = number of electrons

e = magnitude of charge on an electron

n = Q/e

n = 59 * 10^-12/1.6 * 10^-19C

n = 3.69 * 10^8 electrons

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Tech B is correct as any coil of wire in an electrical system can produce hundreds of volts when it is de-energized, because of reverse voltage spike.

When there is no load attached and no current flowing, a voltage source (batteries, power supplies, etc.) is said to have an open circuit. It will always be greater than any voltage in a "closed circuit." The output voltage decreases as soon as you start drawing current from the source because of a voltage drop across that resistance.

Back EMF is the term for the reverse voltage spike that results from the coil's magnetic field collapsing when the armature moves away from coil after it has been de-energized (Electromotive Force).

Therefore, Tech B is correct as any coil of wire in an electrical system can produce hundreds of volts when it is de-energized, because of reverse voltage spike.

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spring P.E = 1/2 kx^2

= 1/2 * 250 x 0.25 = 31.25 N

where k= spring constant = 250 N/m

x= Compression = 0.250

By Applying conservation of energy

K.Ei+ P.Ei =K.Ef+ P.Ef

0+ 31.25 = 0+ m(9-8)(0.5)

4.9m =31.25

m= 6.377 kg

m- 6.4kg

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Answer: 1.2 Hz

Explanation:

Khan Academy

The 'advanced' material that changes shape with an applied voltage is: a. piezoelectric

A piezoelectric material has the ability to transform electrical energy into mechanical energy and mechanical energy into electrical energy and  due to this can change its shape in response to applied voltage.

The piezoelectric materials are natural or synthetic crystals that do not have a defined center of symmetry. Some piezoelectric materials are found naturally as some crystals, ceramics, DNA, enamel and others.

These materials are classified into two groups:

Voltage is the quantity that expresses the amount of electricity that exists in an electrical circuit.

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A hockey player is standing on his skates on a frozen pond, if he accelerates uniformly at 0.22 m/s2, the player will catch his opponent in 19.49 seconds.

Uniform Motion

The object's uniform motion should follow the following rules as provided

vt = vo + at

vt² = vo² + 2a . s

s = vo*t + 1/2*a*t²

Here vt is seen as the final velocity, vo = initial velocity

a= acceleration t= time and s= displacemnt

according to the question,

v = 2

t= 1.4

vo= 0 m/s

a = 0.22 m/s²

The distance between the players is seen as

Vt= 2x 1.4 = 2.8 m

The player will thus catch his opponent with the same distance. This means,

Sopponent = Splayer

so + vt = vo*t + 1/2 at²

⇒ 2.8 + 2.t = 0 . t + 1/2 . 0.22 . t²

⇒ 0.11t² - 2t - 2.8 = 0

⇒ t = 19.49 s

on solving the above quadratic equation, we calculate the possible root as 19.49 seconds.

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The current motion of HNLC on Oahu compare to the direction of the pacific plate motion relative to the hawaiian hot spot over the past 42 million years is North direction.

Because of plate tectonics now the islands are moving more north compared to before.

The theory of plate tectonics is the modern update to continental drift(opens in new tab), an idea first proposed by scientist Alfred Wegener in 1912 which stated that Earth’s continents had "drifted" across the planet over time. Wegener didn't have an explanation for how continents could move around the planet, but researchers do now: Plate tectonics.

Plate tectonics is the theory that Earth's outer shell is divided into large slabs of solid rock, called “plates,” that glide over Earth's mantle, the rocky inner layer above Earth’s core. Earth’s solid outer layer, which includes the crust and the uppermost mantle, is called the lithosphere.

It is 100 km (60 miles) thick, according to the Encyclopedia Britannica(opens in new tab). Below the lithosphere is the asthenosphere a viscous layer kept malleable by heat deep within the Earth(opens in new tab). It lubricates the undersides of Earth's tectonic plates, allowing the lithosphere to move around.

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Answer:

675

Explanation:

10 seconds = 450 cm

1 second = 450 ÷ 10 cm

15 seconds = 450 ÷ 10 × 15 cm

" = 45 × 15 cm

" = 675 cm

Thus , 675 is the answer

The momentum of both the engaged animals—a bird and its prey—is conserved.

What does linear momentum conservation mean?

If there is no external force acting on the colliding objects, the total momentum before and after the collision will be the same, according to the conservation of momentum principle.

Initial momentum is the same as final momentum.

As a result, both the engaged animals—a bird and its prey—keep their momentum.

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Doppler radar measures the speed and direction of hail or raindrop movement within a cloud using microwave energy.

A Doppler radar is a specialized radar that can gather velocity information on distant objects using the Doppler effect. This is done by directing a microwave signal at a target and observing how the target's movement changes the frequency of the signal that is reflected back. The difference between a wave's observed frequency and its emitted frequency when the observer is moving with respect to the wave source is known as the Doppler effect, sometimes known as the Doppler shift, and named after the Austrian scientist Christian Doppler who originally proposed it in 1842. The radial component of a target's velocity in relation to the radar can be directly and extremely accurately measured using this variation. It frequently happens while a vehicle with sirens moves toward, past, and away from a target.

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Answer:

The sum of the currents entering a junction equals the sum of the currents leaving a junction because no charge is lost.

Explanation:

The law of conservation of charge as proposed by Kirchoff ensures that the sum of currents entering and leaving a circuit are the same. Kirchoff's law asserts that the total current entering a circuit's junction is precisely equal to the total current exiting the same junction for a parallel line. Because no charge is lost, the currents have nowhere else to go. This implies that the algebraic total of ALL currents entering and exiting a junction must equal zero. Kirchoff’s first law is alternatively referred to as the law of conservation of charge.

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