Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.

The current have a uniform speed of 1.35 m/s and let the width of the river be 100 m. what is the speed of the boat relative to a stationary observer on the shore is 67.5 m.

The distance traveled in a unit of time is referred to as speed. The meter per second (m/s) is a SI unit. Any mathematical operation must be performed while maintaining the same units for all terms. If the units are different, the result will be incorrect. Until and unless terms have the same units, we cannot perform mathematical operations on them.

The posed issue is based on the correlation between distance, time, and speed. We must convert km/hr into m/sec in order to convert the specified unit of speed into SI units. The required distance will then be determined using the formula for distance speed and time.

Boat speed in relation to water = 2 m/sec

1.35 meters per second for water

time t = 100/2.00 = 50 s

the required distance = 1.35*50 = 67.5 m

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The statements that accurately describe how physicists view the role of mathematics is: equations represent relationships between measurements; option 1

Mathematics is a branch of science that deals with numbers, formulas and related structures, shapes and spaces as well as the changes that occur in them.

Physics is a branch of science that studies matter, its constituents, motion and behavior through space and time, and their relation with energy and force.

The branches of Physics include:

Mathematics plays a very important role in physics as the equations of mathematics helps to explain relationship between measurements.

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The ball that is dropped from rest and takes 1.3 s to hit the ground was dropped from 8.28 m of height

The free fall formula and the procedure we will use is:

h = (g * t²)/2

Where:

Information of the problem:

Applying final height formula we get:

h = (g * t²)/2

h = (9.8 m/s² * (1.3 s)²)/2

h = (9.8 m/s² * 1.69 s²)/2

h = 16.56 m/2

h = 8.28 m

It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.

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The differentiated equation for the triangle in the middle as per the Pythagorean rule appears to be as db = dl = -h/b dh = -h/bx

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a2 + b2, are equal to the squares on the legs.

Book I, Proposition 47, that is also known as I 47 or Euclid I 47, was mentioned and demonstrated for the first time by Euclid. Among all the Pythagorean proposition proofs, this one is arguably the most well-known.

By applying Pythagoras Theorem,

h^2/4 + b^2/4 = a^2

⇒ h^2 + b^2 = 4a^2

Then differentiating the equation, we have

2hdh + 2bdb = 0 (da = 0)

So db = dl = -h/b dh = -h/b x

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A photon is a tiny particle made up of electromagnetic radiation waves. Photons are simply electric fields traveling through space, as demonstrated by Maxwell. Let the number of photons N.

the surface: F = N (h/λ)

Therefore on the surface: F = N (h/λ)

Given F = 4.6 nN

assume λ = 633 nm

N = (4.6 ×[tex]10^{-9}[/tex] × 633 ×[tex]10^{-9}[/tex] )/(6.63 × [tex]10^{-34}[/tex])  photons / s

N = 4.68 × [tex]10^{18}[/tex] photons / s

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When you hold your cardboard square between the lights source and the wall you observe a shadow.

We know that light is a source of energy. Light travels in straight lines and this is called the rectilinear propagation of light. Having known that light travels along a straight path, we know that light would pass through the cardboard which is not too thick.

This cardboard is now able to scatter the light waves. We would then see a shadow at the wall. This shadow would have two regions; the region of complete darkness called umbra and the region of partial darkness called penumbra.

Thus, when you hold your cardboard square between the lights source and the wall you observe a shadow.

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The arabinose operon in e. coli functions as the regulatory protein

The L-arabinose operon, commonly known as the ara operon, is a gene sequence that encodes enzymes required for arabinose catabolism to xylulose 5-phosphate, an intermediate in the pentose phosphate pathway. It is governed by both positive and negative control. Escherichia coli contains the operon (E. coli).

AraC, the regulator protein, is sensitive to arabinose levels and acts as both an activator in the presence of arabinose and a repressor in the absence of arabinose to regulate the expression of araBAD.

In the absence of arabinose, the dimer AraC protein represses the structural gene by binding to araI1 and araO2, and the DNA creates a loop, preventing RNA polymerase from connecting to the ara operon promoter and therefore stopping transcription. When arabinose is present, it binds to AraC, preventing it from interacting.

The DNA loop is therefore broken. AraC-arabinose complexes attach to the araI site, promoting transcription. When arabinose is present, AraC functions as an activator, resulting in the formation of a complex: AraC + arabinose. This complex is required for RNA polymerase to bind to the promoter and initiate transcription of the ara operon.

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Decane is an alkane with ten carbon atoms in its carbon chain. Hence, there are 22 hydrogen atoms.

Alkanes are acyclic, saturated hydrocarbons. Hydrocarbons are organic compounds made up of carbon and hydrogen only. Alkanes could be straight chained or branched.

Decane is a straight chained alkane with ten carbon atoms. To find the number of hydrogen atoms in any given alkane, we use the following molecular formular:

                    CₓH₂ₓ₊₂  

The x in the formular stands for the number of carbon atoms. The C represents carbon, and the H represents hydrogen. If we put ten in place of x in the formular, we would have:

                     C₁₀H₂₀₊₂

                   = C₁₀H₂₂

Therefore, Decane has 22 hydrogen atoms.

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The magnitude of the average acceleration of the car is  5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.

Average acceleration is defined as the average rate of change of velocity per unit time. Mathematically -

a[avg] = Δv/Δt

Given in the question a sports car will accelerate from rest to a speed of 41.0 m/s in 7.20 s. From this, we can write -

Initial velocity [u] = 0 m/s

Final velocity [v] = 41 m/s

time taken (Δt) = 7.2 s

Part A → Average acceleration

The average acceleration of car can be calculated as follows -

a = Δv/Δt = (v - u)/t = (41 - 0) / 7.2 = 5.69 m/s²

Part B → Distance covered

The distance travelled by the car in first 7.20 seconds will be -

S = ut + 1/2 at²

S = 1/2 at²

S = 0.5 x 5.69 x 7.2 x 7.2

S = 147.5 m

Part C → Speed after 10 seconds

Using the first equation of motion -

v = u + at

v = at

v = 5.6 x 10

v = 56 m/s

Therefore, the magnitude of the average acceleration of the car is  5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.

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The  helicopter flies 165m horizontally and then moves downward 45m below so ,the helicopter's resultant displacement is 171 m.

What is resultant displacement ?

Resultant displacement is defined as the the shortest distance from initial point of movement to the final point of movement.

What is Pythagoras theorem ?

Pythagoras theorem is defined for a right angled triangle as the square of the hypotonus being equal to sum of square of base and square of perpendicular.

given :

helicopter flies horizontally a displacement  (x) = 165m

helicopter flies vertically a  displacement  (y)= 45m

the above condition can be imagined in a 2-D graph or plane with x and y axis

and since the curve will be a sharp 90° the resultant figure is of a right angled triangle.

therefore,

using Pythagoras theorem we get;

( resultant displacement  )²= (165)² + (45)²

( resultant displacement  ) = 171 m

The  helicopter flies 165m horizontally and then moves downward 45m below so ,the helicopter's resultant displacement  is 171 m.

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By using Hooke's Law, the isentropic bulk modulus is 1,360,563.38 Pa.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The bulk modulus can be measured by stress and strain which

B = σ/ε

B = (F/A) / (ΔV/V)

where σ is stress, ε is strain, A is surface area, ΔV is change in volume and L is initial volume.

From the question above, we know that

σ = 276 kN/m² = 276 kPa = 276000 Pa

V = 0.35 m³

ΔV = 0.071 m³

By substituting the given parameters, we get

B = σ/ε

B = 276000 / (ΔV/V)

B = 276000 / (0.071/0.35)

B = 1,360,563.38 Pa

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The modulus of elasticity is 117.5 KN/[tex]cm^{2}[/tex].

How can we find the modulus of elasticity?

Modulus of elasticity is commonly known as Young's Modulus, which is denoted as E. To find modulus of elasticity we know that,

E = σ / ∈-----(1)

where σ is denoted as stress,

and   ∈ is denoted as strain.

σ  = F/A ------(2)

where F is denoted as load,

and A is denoted as area.

 ∈= ΔL/L ------(3)

where ΔL is denoted as the resulting change in length,

and L is denoted as the original length.

Given that,

L = 3.6m = 360cm

d = 2.6cm

F = 61 KN

ΔL = 3.52mm = 0.352cm

E = ?

By substituting the values in (2) & (3) we get,

  ⇒  σ  = F/A

  A =  π/4 [tex]d^{2}[/tex] = (π/4)×([tex]2.6^{2}[/tex]) = 5.3092 [tex]cm^{2}[/tex]

  σ = 61/(5.309) = 11.5

   ⇒ ∈ = ΔL / L

  = (0.352) / 360  

E = σ / ∈

  = [tex]\frac{(61)(360)}{(5.309)(0.352)}[/tex] = 1177 KN/[tex]cm^{2}[/tex]

Therefore the modulus of elasticity is 1177 KN/[tex]cm^{2}[/tex]

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Answer:

FORCE=Mass*Acceleration

So, Force=45*23=115 N

The definition of force in physics is the push or pull on a massed object that changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. The force is 115 N.

Force is a physical factor that alters or has the potential to alter an object's state of rest or motion as well as its shape. Newton is the SI unit of force.

One of the most fundamental types of physical entities is the force. Due to the fact that force is a vector quantity, it possesses both a magnitude and a direction. Frictional force and contact force are the two categories under which all forces can be classified.

F = m × a

F = 45 × 23

F = 115 N

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Answer:

D. It is a non-metal.

Newton's law of universal gravitation tells us that all particles are attracted to each other with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of their distance apart. Hence, the answer to the question is true.

The statement on the question is in line with Newton's law of universal gravitation, which states that "the force of attraction between two objects with masses m1 and m2 is directly proportional to the product of their masses and inversely proportional to the square of their distance apart. The 'force of attraction' stated in the law the law is gravity. Mathematically, it is written as:

                         [tex]F= G\frac{m1*m2}{d^{2} }[/tex]

    where G is the universal gravitational constant.

This means that the force of gravity between two particles increases as the mass of the particles increase, and gravity exponentially reduces as the distance between the two particles increase.

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As ice melts into water, kinetic energy is being added to the particles. This movement causes them to be 'excited' and causes the break in the bonds which hold them together as a solid. This also results in a change of state from solid to liquid.

kinetic energy can be described as a form of energy that an object or a particle possess by reason of its motion.

Kinetic energy is a property of a moving object or particle and that depends on the motion and mass of the object involved in the motion.

The change in state of an object is due to the change in the average kinetic energy of the particles. This average kinetic energy is proportional to the temperature of those particles.

The reason is that heat is a form of energy and if you add heat energy to ice you "excite" the water molecules which in turn breaks the interactions in the lattice structure and forming weaker, looser hydrogen-bonding interactions.

In conclusion, the change in state of an object is due to the change in the average kinetic energy of those particles.

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Two units of measurement for energy are calories and joulesthe measurement of 25.1 cal is the same amount of energy as 105.42 joule

1 cal =  amoun tof heat energy required to raise the temperature of 1 g of matter by 1 degree.

1 Kcal = 1000 cal

S.I unit of energy = joule

The relation between calorie and joule

1 calorie = 4.2 joule

measurement of energy =   25.1 cal

                                            = 25.1  * 4.2 joule

                                            = 105.42 joule

so 25.1 cal is the same amount of energy as 105.42 joule

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Answer:

either vector

Explanation:

If the magnitude of the resultant of the two equal vectors is equal to the magnitude is equal to neither both vectors

The typical range of human hearing is 20 to 14,000 hz

Around 20 Hz to 20 kHz is the range of frequencies that humans can hear. However, as they become older, human infants lose some of their high-frequency sensitivity; the highest limit in ordinary adults is frequently closer to 15–17 kHz. Human neonates can actually hear sounds somewhat higher than 20 kHz. Although most speech frequencies fall between 100 and 4,000 Hz, the human ear can detect sounds between 20 Hz to 20,000 Hz (20 kHz).

Ultrasonic frequencies are those that are higher than 20,000 Hz. Many animals can hear ultrasonic frequencies even though they are outside the range of human hearing. A person with typical hearing may hear noises between 20 and 20,000 hertz (Hz). For voice processing, frequencies between 500 and 4000 Hz are crucial.

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When fully mature, the muscular walls of the epididymis move sperm

into the vas deferens where they are stored until ejaculation.

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The height of the cliff from the rock is thrown with an initial velocity of 8.00 m/s is: 45.8602 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 = (8.00 m/s * 2.35 s) + [9.8 m/s² *  (2.35 s)²] /2

y = 18.8 m + [9.8 m/s² * 5.5225 s²] /2

y = 18.8 m + [54.1205 m] /2

y = 18.8 m + 27.0602 m

y = 45.8602 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 current that flows in the circuit is 0.2 A.

We know that circuit is a path that has been specially prepared and set aside for the flow of current. This implies that we could only observe the flow of current in a an electric circuit. We could use the Ohm's law to be able to obtain the voltage an the current.

Ohms law states that the current that flows in the circuit is directly proportional to the voltage in the circuit. This implies that we could be able to write from this statement that; V α I. When we try to introduce the constant of proportionality then we can write;

V = IR

Where;

V = voltage

I = current

R = resistance

I = V/R

V = 9.0V

R = 45.0 ohms

I = 9.0V/ 45.0 ohms

I = 0.2 A

The current that flows in the circuit is 0.2 A.

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An electric field is defined along the x-axis by the function then if g=1.5m and h=6m, then v(g)-v(h) = 7768.40V.

When charge is present in any form, a point in space has an electric field that is connected to it.

The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.

Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field’s equation is given as E = F / Q.

E = + 5 x^4 x^n

Also, E = -x^n r/rx (v)

⇒ 5 x^4 x^n = -x^n r/rx (v)

⇒ v = - ∫ 5 x^4 dx

⇒ v = -5 x^5/5

⇒ v = - x^5 v

So, v(g) - v(h) = - (1.5)^5 + (6)^5

= -7.59375 + 7776

=7768.40 V

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Answer:

I am going to make an educated guess and say... B. 3 m/s²

Explanation:

I'm pretty certain that this is the correct answer.

For me, it was a toss-up between B and C, but I don't really think it's C.

But, then again, I am not 100% sure.

I hope you get it right! Have a blessed day! (✿◠‿◠)

If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.

Frequency in physics is the quotient of the number of times or a periodic phenomenon that occurs over the time (t) in which it occur.

Hertz and Megahertz are both units of measurement of frequency, which means inverse of the seconds i.e. 1/s.

However, the conversion factor of Hertz and Megahertz are as follows:

1 megahertz = 1000000 hertz

According to this question, the frequency of a radio station is 105.9 MHz, this frequency can be converted as follows:

105.9 × 1000000 = 1.059 × 10⁸ Hertz

Therefore, If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.

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Answer: At the top of a pendulum's swing, the ball is no longer moving (at that very specific point of time). All of its kinetic energy has been converted to potential energy (or more specifically in this instance, gravitational potential energy).

Explanation: hope this helps

The output work done by the lever is 18.9 J.

Output work is the product of laod and the distance moved by load.

The S.I unit of output work is Joules (J).

To calculate the output work done by the lever, we use the formula below,

Formula:

Where:

Make W' the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the output work done by the lever is 18.9 J.

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Answer:

14.SI unit of

Distance →Metre(m)

Time →second(s)

Mass→kilogram(kg)

15. Dynamics

16. Optics

17. Electromagnetism

18.Thermodynamics

Answer:
14)
Distance : metres
Time: seconds
Mass: kilograms

15) Mechanics
16) Optics
17) Electromagnetism
18) Thermodynamics

Explanation:

Si units stand for 'International Units' these are units that are used universally for certain quantities

Hope this helps :)

A person skating on ice at a constant velocity is a static  situation in reference to biomechanics subdivisions

An interdisciplinary science known as biomechanics studies how organisms move and interact with their environment by applying physics concepts to biological systems. Biomechanics is interested in a wide range of motions, from small-scale, whole-body movements like a jumping cat to large-scale, complex movements like the contraction of muscles in cells. In order to characterize and comprehend the complex forces involved in biological systems, biomechanics utilizes the rules of physics with relation to levers, pulleys, and other known functions.

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The value in centimeters is [tex]1.44 \times 10^{-8}[/tex] cm.

Dimensional analysis is a method for changing a measurement's unit of measurement. A single unit of measurement can be multiplied by a number of fractions that, although expressed in different units, are essentially the same measurement.

A unit of measurement is a specific magnitude of a quantity that is adopted by law or convention and used as a standard for measuring other quantities of the same kind. Another amount of that type may be expressed as a multiple of the measuring unit.

Radius of gold =144pm

[tex]=144pm\times 1m/10^{12}pm[/tex]

[tex]=144 \times 10^{12} m[/tex]

[tex]=1.44 \times 10^{-10} m[/tex]

[tex]= 1.44 \times 10^{-8} cm.[/tex]

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