Starting from rest and moving in a straight line, a runner achieves a velocity of 14 m/s in 10 seconds. what is the average acceleration of the runner?

Heat required to evaporate the water to steam is 5342 KJ

We know that,

[tex]Q_{t}[/tex] = c * m * ( [tex]T_{f}[/tex] - [tex]T_{i}[/tex] )

where,

[tex]Q_{t}[/tex] = Heat required to raise the temperature

c = Specific heat capacity

m = Mass

[tex]T_{f}[/tex] = Final temperature

[tex]T_{i}[/tex]  = Initial temperature

Given that,

m = 230 lb = 104.33 kg

[tex]T_{i}[/tex]  = 190 F = 87.78 °C

[tex]T_{f}[/tex]  = 100 °C (Because water boils at 100 °C to turn into steam)

c = 4190 J / kg °C

[tex]Q_{t}[/tex] = c * m * ( [tex]T_{f}[/tex] - [tex]T_{i}[/tex] )

    = 4190 * 104.33 * 12.22

[tex]Q_{t}[/tex] = 5341883.79 J = 5342 KJ

Heat is the amount of energy transferred between two bodies

Therefore, Heat required to evaporate the water to steam is 5342 KJ

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The volume of the space would decrease if the piston were to quickly move out, and the process would then reverse itself, taking another hundredth of a second to complete before everything was back to normal. The time it takes for the molecules to balance out is constant, regardless of how quickly or how far the piston is driven.

In mechanical engineering, a piston and cylinder are two sliding cylinders with closed heads that move reciprocally within a somewhat larger cylindrical chamber under pressure from a fluid, as in an engine or pump. The piston rod, which is rigidly coupled to the piston, can pass through one of the end cover plates of a steam engine's cylinder, which is closed by plates at both ends, using a gland and stuffing box (steam-tight joint).

An internal combustion engine's cylinder is open at one end to allow the connecting rod, which connects the piston to the crankshaft, to freely oscillate and is closed at one end by a plate known as the head.

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If you travel at the speed of a Boeing 747, which means 570 miles per hour, it will take you about 159 years to reach Saturn.

Saturn has orbiting distance from the sun at a mean distance of about 1.4 billion km or 887 million miles. Calculating from that, it’s from earth would be about 1.29 billion km, adding up to 795 million miles.

So, to calculate the years that it would take to reach Saturn, first, let’s convert the hours to years so that we can find out years in the end.

1 hour can be written down as 0.0001141155 years as per calculation.

So, then the Boeing 747 travels at a speed of 570 miles per 1.1141155 x 10^-4 year

So, to reach to travel a distance of 1 mile, Boeing 747 takes {(1.1141155 x 10^-4) / 570} years.

So, in order to travel 790 million miles, Boeing 747 takes 795,000,000 x {(1.1141155 x 10^-4) / 570} years.

If we calculate it, we get the answer around 159 years.

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The angular resolution for horizontally separated mice is 1.00×10−3 rad

The Rayleigh criterion for the diffraction limit to resolution states “that two images are just resolvable when the center of the diffraction pattern of one is directly over the first minimum of the diffraction pattern of the other”. This criterion is based on the fact that Light diffracts as it moves through space, bending around obstacles, interfering constructively and destructively.

We assume Rayleigh's criterion applies to the cat's eye with pupil narrowed. For a single slit (not a round aperture), for small angles

θ ≈ sin θ =λ/a

= 500×10−9m / 0.500 × 10−3m

=1.00×10−3 rad

Hence, the angular resolution for horizontally separated mice is 1.00×10−3 rad

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A seismograph is a device called that uses special weights and magnetic fields to measure the movement of the ground.

A seismograph is a particular device that records seismic waves caused by an earthquake, explosion, or other earth-shaking events. Seismographs have electromagnetic sensors that convert ground motions into electrical changes that are processed and recorded by the instrument's analog or digital circuits.

The terms "seismograph" and "seismometer" are frequently used interchangeably; however, while both devices can detect and measure seismic waves, only a seismograph can record them. A seismogram is a record produced by a seismograph on a display screen or paper printout.

 Although originally designed to detect natural earthquakes, seismographs have a wide range of applications, including petroleum exploration, research into the Earth's crust and lower layers, and monitoring volcanic activity.

Seismographs are devices that record the movement of the ground during an earthquake. They are installed on the ground as part of a seismographic network all over the world. 

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By elasticity, the most nearly load is D. 12370 N .

We need to know about elasticity to solve this problem. In elasticity, stress can be determined as

σ = e . δ

where σ is stress, e is elastic modulus and δ is the strain

From the question above, we know that:

e = 70 GPa = 70 x 10⁹  Pa

d = 15 mm = 0.015 m

δ = 0.001 mm/mm

Find the stress

σ = e . δ

σ = 70 x 10⁹ . 0.001

σ = 7 x 10⁷ Pa

Find the surface area of the aluminum rod

A = πR²

A = π(0.015/2)²

A = 1.77 x 10¯⁴ m²

Find the load

F / A = σ

F = σ x A

F =  7 x 10⁷ x  1.77 x 10¯⁴

F = 12375 N

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A baseball is thrown at a velocity of 98.4 miles per hour. The speed in m/s is approximately 43.73 m/s.

The velocity or speed means the amount of distance we have travelled per unit time.

The speed given is 98.4 miles/hour

V = 98.4 miles/hour

Since, 1 miles = 1.6 km = 1600 m

          1 hour = 3600 s

So the speed in metre per second is:

V = [tex]\frac{98.4 \times 1600}{3600} m/s[/tex]

   [tex]\approx 43.73 \ m/s[/tex]

Hence, the speed in m/s is approximately 43.73 m/s.

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Thermal energy storage means heating or cooling a medium to use the energy when it is needed later, for example, using a water tank to store heat, where the water is heated when there is a lot of energy, and the energy is then stored in the water for use when the energy is less.

Thermal energy is the energy possessed by the system which is responsible for its temperature rise and fall. Heat is the flow of thermal energy.

Phase-change material (PCM) such as wax, molten salts can be  more useful for storing thermal energy.

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For a pure substance, the melting temperature range is low

The melting point range is widened as a result of impurity addition, which lowers the melting point. The melting point range is reduced because pure substances have greater melting points.

The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.

The melting point of a liquid is the temperature at which the liquid transforms from a solid to a liquid under atmospheric pressure. This is the location where the liquid and solid phases are equally present.

By placing a tiny amount of an organic solid into a tiny capillary tube, affixing it to the stem of a thermometer centred in a heating bath, slowly heating the bath, and observing the temperatures at which melting begins and is complete, it is possible to determine the melting point of an organic solid.

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Molecular formula = (C11 N3 H17 O8)1

M(tetrodotoxin) = 6*10^23 x 1.59 x 10^-21 g/3 molecules = 318g/mol

mass of Emperical formula =

11*12.011 + 3*14.007 + 17*1.008 + 8*15.999 = 318g/mol

Molecular formula = (Emperical formula)x

Simple numbers for each sort of atom in a molecule of a molecular substance are shown in molecular formulas. They are equivalent to empirical equations for compounds with more than one type of atom but only one of that type overall.

where x is equal to = molar mass/mass of Emperical formula

x = 318/318 = 1

Molecular formula = (C11 N3 H17 O8)1

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The displacement method can be used to determine the shark's volume by measuring the corresponding volume of the displaced water in the can.

If the object has an irregular shape , the volume can be measured using a displacement can.

The displacement can is filled with water above a narrow spout and allowed to drain until the water is level with the spout. As the irregular object is lowered into the displacement can, the water level rises.

The level of water displaced is the volume of the irregular shape.

Thus, the displacement method can be used to determine the shark's volume by measuring the corresponding volume of the displaced water in the can.

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The dielectric strength of a dielectric substance is equal to the greatest magnitude of the external electric field that does not cause electrical breakdown. When an electric field is applied to a dielectric, the dielectric will transform into a conductor at a point known as electrical break down.

Given that

A parallel plate capacitor consists:

Capacitance Co

Plates of Area A

Separation distance between the plates d

Voltage of a battery Vo

Magnitude of charge Qo

Dielectric constant K=3

the capacitance of parallel plate capacitor when there is free space between the plates is given by

Co = εoA/d

Where εo is permittivity of free space.

If the battery is connected to the parallel plate capacitor, the gap between the plates is filled with dielectric constant. The capacitance of the parallel plate capacitor for the medium will then be determined.

a) C=KεoA/d

=3εoA /d

=3 Co

Now, the potential difference between the plates will be

b) Vo =QC

Vo=QC

Hence, the magnitude of charge by adding dielectric medium will be

c) Q= CVo

=3εoA Vo /d

=3 Co Vo

=3 Qo

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It takes 16.5 seconds to reach its top speed of 80.0 km/h, starting from rest.

A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is frequently referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The position, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations.

Where [tex]v[/tex] is the final velocity and [tex]v_{0}[/tex] is the initial velocity, we utilize the formula [tex]v = v_{0}+at[/tex] (because the train starts from rest), [tex]a= 1.35\frac{m}{s^{2} }[/tex], [tex]v_{0} = 80.0\frac{km}{h} = 22.22\frac{m}{s}[/tex]

Injecting these into the formula above and calculating t provides us with,

[tex]t= \frac{v-v_{0} }{a}[/tex] ≈ [tex]16.5 s[/tex]

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Remote sensing - it is the process of detecting the characteristics of an area measuring it's  reflected and emitted radiation at a distance.

IR (Infrared) is the radiation emitted from earth surface in the form of heat.

The wavelength that we use most effective for the remote sensing is of range 3µm - 35µm.

This the longest wavelength used in remote sensing.

wavelength is distance between two crests or to trough.

It is denoted by λ

λ = v/f

where λ  = wavelength

v = velocity

f = frequency

unit of wavelength is meter.

A peak is highest point of wave and valley is the lowest point.

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Answer:

K.E = 1/2mv²

K.E = 1/2 * 6 * 24²

K.E = 1728J

Explanation:

The velocity, acceleration and speed are -

v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]

a(t) =  - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]

s(t) =  [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]

We have the position vector → r(t) = 7cos(t) i +  6sin(t) j

We have to determine the velocity, acceleration and speed of particle.

The instantaneous velocity and acceleration can be calculated using -

v = [tex]$\frac{dx}{dt}[/tex]

a = [tex]$\frac{dv}{dt}[/tex]

According to the question, we have -

r(t) = 7cos(t) i +  6sin(t) j

The velocity can be calculated using -

v(t) = [tex]$\frac{dr(t)}{dt} = \frac{d}{dt}\;(7 cos\;t \;i + 6 sin\;t\;j)[/tex] = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]

The acceleration can be calculated using -

a(t) = [tex]$\frac{dv(t)}{dt} = \frac{d}{dt}\;(-7 sin\;t \;i + 6 cos\;t\;j)[/tex] = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]

The speed at time t can be found out as follows -

|r(t)| = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]

Hence, the velocity, acceleration and speed are -

v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]

a(t) =  - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]

s(t) =  [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]

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Density is equal to the mass of substance divided by its volume.

Thickness is the substance's mass per unit of volume. The image most frequently utilized for thickness is ρ (the lower-case Greek letter rho), albeit the Latin letter D can likewise be utilized. Numerically, thickness is characterized as mass separated by volume: ρ=m/V where ρ is the thickness, m is the mass, and V is the volume. Now and again (for example, in the US oil and gas industry), thickness is approximately characterized as its weight per unit volume, albeit this is experimentally wrong this amount is all the more explicitly called explicit weight.

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Answer: Innovations originally designed for space vehicles, including artificial muscle systems, robotic sensors, diamond-joint coatings, and temper foam,

Explanation: make artificial human limbs more functional, durable, comfortable, and life-like.

For a 166-lb person, a dose of 452 milligrams is prescribed to treat asthma.

Lung damage is a side effect of asthma. Repeated episodes of coughing, dyspnea, chest tightness, and wheezing are also brought on by it. By taking medication and avoiding the triggers that can set off an attack, asthma can be managed. Outdoor allergens, such as pollen from grass, trees, and weeds, are common asthma triggers. Different allergens and irritants might function as triggers for different people. Dust mites, cockroaches, mold, and pet dander are examples of indoor allergies. Air irritants like smoke, chemical fumes, and powerful scents.

Mass = 166 lb×(453.59 g/1 lb)×(1kg/1000g)=75.30 kg

Dose = 75.30 kg ×(6.00 mg/1 kg)=452 mg

Elixophyllin has a 452 mg dose for a 166 lb person with asthma.

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Charge must pass by a point in a wire is 5 Coulomb

Given:

time = 10 s = t

current = 0.50 A = I

To Find:

charge = q

Solution: Current is defined as amount of charge passing through a region per unit time. It is given by the formula

I = q/t

q = I x t = 0.50 A x 10 s = 5 Coulomb

Hence, charge must pass by a point in a wire is 5 Coulomb

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Acceleration of motorcycle is 4.44 km/sec².

Given that ,

Starting velocity = 10 km/hr

Final velocity = 50 km/hr

Time taken = 9 second

Acceleration of motorcycle = [Final velocity - Initial velocity]  / Time taken

Acceleration of motorcycle = [50 - 10] / 9

Acceleration of motorcycle = [40] / 9

Acceleration of motorcycle = 4.44 km/sec².

In the graph above, how does the acceleration at A compare with the acceleration at B?

a. The acceleration at A is positive and less than the acceleration at B.

b. The acceleration at B is positive and less than the acceleration at A.

c. The accelerations at A and B are each zero.

d. The accelerations at A and B cannot be determined.

Option C would be the response to the afore mentioned inquiry. According to the graph, there are no accelerations at A or B.

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No, the bullet is not likely to be manufactured by Winchester.

Given:

X = 936

S=10\ss=10

We are unable to use the empirical rule since we do not know if the distribution is symmetric or skewed.

According to Chebyshev’s rule, which states that at least 89% of the data values are contained within 3 standard deviations of the mean, can be used to help us.

Overline x 3s=936 3(10) = 906 x 3s = 936 3(10) = 906

Overline x +2x = 936 + 3 (10), which becomes x +2x = 936

Thus, between 906 and 966 is the range for at least 89% of the velocities.

Empirical principle approximately 68.3 percent of the values in a data set with a symmetric distribution will be within one standard deviation of the mean, approximately 95.4 percent will be within two standard deviations of the mean, and approximately 99.7 percent will be within three standard deviations of the mean.

Usual values fall within 3 standard deviations of any mean and 1000 does not come within 3 standard deviations of the mean, thus it is unlikely that the bullet with velocity 1000 feet per second was manufactured by Winchester.

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Neptune's equatorial diameter is 49,528 kilometers, and as one kilometers is equivalent to 0.6214 miles, its diameter in miles is 30776.69 miles.

The Northern and Southern hemispheres of the planet are separated by the Equator, a circle of latitude with a radius of 40,075 km (24,901 mi). Halfway between the North and South poles, at 0 degrees latitude, is a fictitious line.

The equator of a spinning spheroid, such as a planet, is the parallel (circle of latitude) where latitude is defined to be 0° in astronomical (3D) spatial geometry. It is a fictitious line that divides the spheroid into its northern and southern hemispheres and runs parallel to its poles. In other words, it is the point where the spheroid intersects with the plane that is perpendicular to its axis of rotation and centered between its poles.

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The force resultant is 10N.

We need to know about force resultant to solve this problem. The force resultant can be described as the sum of force according to the magnitude and direction. It can be written as

∑F = F1 + F2 + .... + Fn

where ∑F is force resultant, F1 is the first force and Fn is the n-force.

From the question above, the parameter given is

F1 = 5 N

F2 = 5 N

Because of the same direction, the force will be added up each other.

∑F = F1 + F2

∑F = 5 + 5

∑F = 10 N

Hence, the force resultant is 10N.

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The longitudinal wave and its labels have been shown in the following diagram attached.

A wave is an energetic disturbance in a medium that doesn’t include any net particle motion.

Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are some of the possible manifestations. Physics studies a wide variety of waves. Some waves can travel through a tangible medium, while others can do so without one.

Wireless electromagnetic

Microwaves.

X-ray.

Radio frequency.

Ultraviolet rays.

Whether you’re discussing waves or vibrations, all of them may be classified according to the following four factors: amplitude, wavelength, frequency, and speed.

Electromagnetic and mechanical waves are the two main categories of waves. Water waves, sound waves, and waves on ropes or springs are all examples of mechanical waves. In a medium, mechanical waves can move (such as air, water, glass, or rock). Magnetic waves can move through a material or through a void.

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If you are charged to manage a project that aims to install wireless access points (aps) throughout the university campus, the steps to a foolproof plan for this project would be -

1. Recognize all of your network’s needs.

The most crucial step in any WiFi installation is probably knowing what your network needs are.

2. Select the appropriate hardware for your wireless network

Finding the ideal access point is much simpler if your needs are clear, but the wide range of options might be difficult.

3. Recognize your devices’ network restrictions.

It’s crucial to keep in mind that other factors besides your Internet connection and network hardware might affect how well your network performs.

4. Take into account the various cables you’ll need to use.

5. Consider how nearby interference may affect the installation of your wireless access point.

6. Decide where to put your wireless access point.

7. Analyze signal strength prior to making a decision.

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Sunlight is the energy source for the light reactions.

The energy sources for the carbon reactions are  NADPH and ATP.

Energy - The ability to do work.

ATP - Adenosine triphosphate

NADPH - Nicotinamide adenine dinucleotide phosphate.

ATP and NADHP are used to fix the carbondioxide (CO₂)

They are produced  during the light reaction of photosynthesis.  

Overall purpose of the reaction is to convert  solar energy to chemical energy.

The energy sources for the carbon reactions are  NADPH and ATP.

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The characteristics of the outer planets are;

- larger size than the inner planets

- evidence of volcanic activity

- thinner atmosphere than inner planets

- reflect light from sun

The solar system is composed of the sun and the planets. The planets move round the sun in concentric circles. The sun is the focus of the solar system. This is the heliocentric model of the ecosystem.

Now there are several planets in the solar system which are;  Mercury · Venus · Earth · Mars · Jupiter · Saturn · Uranus · Neptune. The planets Mercury · Venus · Earth · Mars  are the inner planets while the planets  Jupiter · Saturn · Uranus · Neptune. are the outer planets.

The characteristics of the outer planets are;

- larger size than the inner planets

- evidence of volcanic activity

- thinner atmosphere than inner planets

- reflect light from sun

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Complete Question

What type of spectrum, if any, would be produced if the light radiated by a heated atomic gas were to be dispersed through a prism? A. a continuous band of color B. a continuous band of color with some dark lines (missing wavelengths) C. only blue light D. only red light E. discrete lines of different colors

Discrete lines of different colors

When light passes through a heated atomic gas and then dispersed through the prism, A line spectrum is obtained always. This happens because when, heated atoms of the gas will be in excited state, these excited state atoms t will emit lights of specific frequency particular to the gas. Thus, a spectra containing lines of discrete colors is obtained on the screen.

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The maximum allowable percentage change is 3.8% in the string tension

Length of the string lg as given in the question = 0.350m

frequency of concert G f_g as given in the question= 392 Hz

The maximum allowable percentage change in string tension for this frequency remains constant and the given allowed interval of the change of the length

Formulating the equation and solving:

Let f be the frequency, T be the tension and U be the length of the wave

f = 1/2L*[tex]\sqrt{} T/U[/tex]

df = 1/2[tex]\sqrt{} U[/tex]*[tex](1/2\sqrt{}T- Ldt - dL\sqrt{}T)/L^{2}[/tex]

df = 0

dT/T = 2*(dL/L)

= 2*0.6/31.2

dT/T = 0.038

Percentage change in string tension 3.8%

The maximum percentage change in string tension is 3.8%

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