Force pairs definition

Fundamental frequency will be [tex]\frac{1}{{2} }[/tex] times that of original frequency on doubling the length of the string which is option (e) .

From equation (1)  it can be seen clearly that fundamental frequency in inversely proportional to the length of the string.

On putting double the length of the string in equation (1) keeping the all factor same , we get

               [tex]f'=\frac{1}{2\times2l} \sqrt{\frac{T}{u} }\\\\f'=\frac{1}2 } f[/tex]

Where f ' is the new frequency and f is the original frequency .

Thus, If the length of the string is doubled, with all other factors held constant, then the fundamental frequency will reduce to half.

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Answer:

2.9 Hrs

Explanation:

Time = Distance/velocity

6265  / 2150 ≈ 2.9 hrs

The radius of magnesium atom is 0.16NM and radius of nucleus is 1\10,000 of atom so radius of magnesium nucleus will be 1.6E-5 NM.

Given,

radius of magnesium atom is 0.16NM

radius of nucleus is about 1\10,000 of an atom

So radius of magnesium nucleus will be :

radius of magnesium atom *  1\10,000

0.16 NM *1\10,000
1.6e-5 NM

Hence radius of magnesium nucleus will be  1.6E-5 NM by simple unitary method.

We can also put it in SI units by using the same unitary method and get the values in meters which will be equal in values to 1.6 e-14 m.

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Answer:

IV: Sail shape

DV: Travel distance

Explanation:

The independent variable is the variable we are changing to see its effects. If we are seeing how the shape of a sail affects travelling distance, the independent variable will be the shape of the sail. This could be achieved by using different dimensions or different geometric shapes.

The dependent variable is the one we are measuring in response to the independent variable. In this case it will be the distance that the boat travels. This could be measured using a ruler or distance meter.

Hope this helped!

Reid runs away from Jarharri after an intense political debate. The average acceleration of Reid will be 0.69 m/s².

Acceleration is like the angry, fire-breathing dragon of motion variables in comparison to displacement and velocity. It can be dangerous, some people find it frightening, and if it's large, it makes you pay attention. You can feel yourself accelerating in scenarios like sitting in a plane during takeoff, slamming on the brakes in a car, or speeding around a corner in a go-kart.

Acceleration is of various types :

According to the question, the given values are :

Initial velocity, u = 0 km/hr,

Final Velocity, v = 25 km/hr

v = 25 × (5/18) = 6.9 m/s and,

Time, t = 10 seconds

Now, use the Equation of motion :

v = u+at

6.9 m/s = 0 + a (10 sec)

a = 6.9/10

a = 0.69 m/s²

Hence, the acceleration that we get here is 0.69 m/s².

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(a) No, it is not possible if one attract other two then it means rest of two have some sign of charge which repel to each other.

(b)Yes, similarly & it is not possible

(c) Yes, Two current carrying having same direction current, it

attract, If one attract others two it means all have same direction. Hence it is true

(d) (Not possible) Because of one repel other two it means other two have same direction which attract to each other.

Gravity is an invisible force that pulls things toward Earth. Actually, there are other places with gravity than our planet. Every thing in the universe possesses gravity, including you and the stars, planets, and moons. All objects are attracted to one another by gravity.

Every thing on Earth experiences weight, or a gravitational pull produced by the mass of the planet that is proportional to the object's mass. A measure of the force of gravity is the acceleration that freely falling objects experience.

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If an electron is released from infinity, after falling to within 1x10-10 m of a proton its speed will be 2.25x10^-6 m/s.

Speed is typically characterized as rapidity in motion, travel, or action; swiftness; and celerity. The speed of light and the speed of sound are two instances of speed. Speed of motion or forward movement; relative quickness in moving, progressing, etc.: we're moving really quickly. the fullest, highest, or most efficient pace of motion: The car just needs nine seconds to accelerate to its top speed. According to special relativity, the maximum speed at which energy or information may move is equal to the speed of light in a vacuum, which is equal to c = 299792458 meters per second (about 1079000000 kilometers per hour or 671000000 mph).

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Answer: 420 N

Explanation:

coefficient of static friction * normal force=maximum static friction force

0.6 * 700N=maximum static friction force

6/10 * 700N=

700*6/10=

4200/10=420 N

The acceleration of the Jetliner during takeoff = 2.1 [tex]m/s^2[/tex]

The given dataset of time in seconds and takeoff speed in m/s is:

t (s)       v(m/s)

0                0

10             21

20            42

30             63

As we can see the rate of change of velocity (Δv) is uniform in each interval.

That is, in each interval, Δv = 21 m/s and Δt = 10s

We need to find the jetliner's acceleration during the takeoff.

Acceleration of a moving body is defined as the rate of change of velocity. Here since the rate of change of velocity is constant, we can simply use the following formula to find the acceleration.

Acceleration during takeoff, a = Δv / Δt = 21/10 = 2.1 [tex]m/s^2[/tex]

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The takeoff speed for an airbus a320 jetliner is 78 m/s . velocity data measured during takeoff are as follows:

t (s)       v(m/s)

0                0

10             21

20            42

30             63

What is the jetliner's acceleration during takeoff, in m/s2?

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The wavelength of nanometers of ultraviolet radiation has an energy of 410 kj/mol is 292 nm.

The energy content of ultraviolet light with a wavelength of 300 nm is approximately 95.3 kcal, Einstein, which is sufficient to spontaneously break carbon-carbon bonds. Wavelength can be calculated using the formula Wavelength  Wave Speed, Frequency. Wavelength is usually expressed in meters. The symbol for wavelength is the Greek lambda.

As every engineer knows, calculating energy is easy. The unit of electrical energy is the kilowatt hour kWh. It is determined by multiplying the amount of electricity consumed kilowatts, kW by the number of hours the electricity was consumed. Multiply this by the cost per kWh to get the total energy cost. For methane, you can calculate the energy required to split 1 mole of methane gas into gaseous carbon and hydrogen atoms.

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Atoms form positive ions by losing electrons or negative ions by gaining electrons through a special type of chemical combination called electrovalent or ionic combination.

It follows that metals are electropositive elements which donates its valence electrons to the nonmetals. The atoms which donates its electrons become positively charged while the species that recieve electrons become negatively charged.

In the formation of sodium chloride, sodium donates its 1 valence electron to chlorine become positively charged; Na+ and chlorine which recieves the electron to add to it's 7 valence electrons become negatively charged; Cl-

Na + Cl ---- Na+Cl-

So therefore, atoms form positive ions by losing electrons or negative ions by gaining electrons through a special type of chemical combination called electrovalent or ionic combination.

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The total energy of the proton is 2882.31 MeV.

We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by

Eo = m₀ . c²

where Eo is rest energy, m₀ is rest mass and c is speed of light (3 x 10⁸ m/s).

The total energy of object can be described as

E = Eo / √(1 - v²/c²)

where E is total energy, v is the object speed.

From the question above, we know that :

m₀ = 1.6 x 10¯²⁷ kg

c = 3 x 10⁸ m/s

v = 0.95c

Find the rest energy

Eo = m₀ . c²

Eo = 1.6 x 10¯²⁷ . (3 x 10⁸)²

Eo = 1.44 x 10¯¹⁰ joule

Eo = 1.44 x 10¯¹⁰ / (1.6 x 10¯¹⁹) eV

Eo = 900 x 10⁶ eV

Eo = 900 MeV

Determine the total energy

E = Eo / √(1 - v²/c²)

E = 900 / √(1 - (0.95c)²/c²)

E = 900 / 0.31

E = 2882.31 MeV

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If the troughs of the atomic orbitals overlap with each other and indicate out-of-phase combinations then they interact destructively.

However, (+), and (-) pair of atomic orbitals interact destructively.

In Chemistry, molecular orbital theory(MOT) indicates that atoms merge together to form atomic orbitals in a molecule. Atomic orbitals overlap to form molecular orbitals.

In a molecule, there are two types of orbitals: bonding orbitals (BO) and anti-bonding orbitals(ABO).

According to MOT theory, when atoms join together through atomic wavefunction then the electrons display wave-like nature.

The presence of electrons in the bonding orbitals increases the molecular stability increases as compared to their presence in anti-bonding orbitals.

To put it simply, when only the crusts of waves overlap in molecule orbitals they form constructive interference while overlapping of troughs causes destructive interference.

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During eeg measurements, 6-10 electrodes are attached to the scalp and produce line drawings that represent brain waves.

EEG stands for electroencephalogram and eeg measurements refer to the recording of brain activities in the form of neuron signals.

In this test, micro sized sensors or electrodes are attached to the head or scalp of a person and electrical signals are recorded released by the brain neurons.

On the EEG recorder, the brain activities show up in the form of wave signals or wavy lines indicating that brain communicates through electrical currents signals.

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Answer:

brain waves

Explanation:

The magnitude and direction of the plane's total displacement will be 7.66 km, 26.20° to the ground.

It should be noted that displacement is a vector quantity which explains the change in the distance to the overall change in position of the object.

The sine and cosine function can be used to solve for the resultant x and y components.

Resultant x = 2.5 cos 35 + 5.2 cos 22

= 6.87 km

Resultant y = 2.5 sin 35 + 5.2 sin 22

= 3.38 km

The resultant displacement is calculated using hypotenuse equation:

displacement = ✓(6.87² + 3.38²)

displacement = 7.66 km

The resultant angle will be:

θ = tan^-1 (3.38 / 6.87)

θ = 26.20°

Therefore the magnitude and direction will be 7.66 km, 26.20° to the ground.

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The frequency of the scattered photon will be lower which is option (a).

According to the quantum concept of radiation,  radiation consists of packets of energy  called photons. The photon energy is given by

 [tex]E=hv=\frac{hc}{\lambda}[/tex]   ....(1)

where 'h' is the Planck's constant

 [tex]v=\frac{c}{\lambda}[/tex]    ...(2)

where 'v'  is the radiation frequency

As x-ray photon is scattered by an electron , there will be loss in the energy of scattered photon.

From equation (1) energy and wavelength have inverse relation which means that due to loss in the energy of scattered photon there will be an increase in the wavelength of scattered photon.

From equation (2) frequency and wavelength have inverse relation due to which increment in the wavelength of scattered photon will lower the frequency of the scattered photon.

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A family ice show is held at an enclosed arena. The skaters perform to music with level 80.0 db. This level is too loud for your baby, who yells at 75.0 db. 155 is the total sound intensity can engulf me.

In physical science, the force or motion of brilliant energy is the power moved per unit region, where region is estimated on the plane opposite to the heading of spread of the energy.

The formula for intensity is given by, I = P A. Where I am the intensity, P is the power and A is the area of cross section.

Light force assumes an essential part. With expanded light the fish' s vision improves, and they will turn out to be more careful about hunters. The sun' s point decides how much light entering the water. As would be normal, the most elevated measure of sun-based force happens on the globe right where the sun is above and as the point of the sun brings down, the sun-oriented power declines.

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Consider east-west direction along x-axis and north-south direction along y-axis, x = x- component of the displacement vector = - 4580 Sin32.4 = - 2454.1 m

y = y- component of the displacement vector = 4580 Cos32.4 = 3867.02 m

z = z-component of the displacement vector = 2450 m

magnitude of displacement vector is given as

magnitude = sqrt(x² + y² + z²) = sqrt((- 2454.1)² + (3867.02)² + (2450)²) = 5194.13 m

Work is the result of displacement and a part of force acting in the displacement direction. 2. The result of force and displacement is work. 3. Work is a result of force and a part of displacement that moves in the force's direction.

When examining a force's geometric representation or its algebraic equivalent, the components of a force can be viewed as horizontal and vertical changes. The vertical and horizontal forces that combine to create the resulting force are represented by a force's components.

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A plausible hypothesis in this case is; "different masses of objects fall to the ground at different rates".

A hypothesis is a plausible explanation for an observation. A hypothesis is always formulated prior to an experiment. The experiment would now confirm or disprove the hypothesis that has been put forward.

Recall that an experiment must have a dependent variable and an independent variable. The independent variable is the variable that we have to continue to manipulate while the dependent variable is the variable that dependent variable changes with the independent variable.

A plausible hypothesis in this case is; "different masses of objects fall to the ground at different rates". The independent variable would now be mass of the object while the dependent variable would be the rate at which the object falls.

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Answer: velocity

Explanation: Acceleration = change in velocity / time interval

5m/s to 25 m/s, in 2 seconds. So 25m/s - 5 m/s, then divide by time =

10m/s squared

(e) The net displacement at a point on the string is zero.

The term "displacement" refers to a shift in an object's position. It has a magnitude and a direction, making it a vector quantity. An arrow pointing from the starting point to the finishing point serves as its symbol.

A string that is connected to a post at one end is used to transmit a sequence of pulses, each measuring 0.1 meters in amplitude.

At the post, the pulses are reflected and return along the string without losing any of their amplitude.

Now, let's say the post is firmly fastened to the string.

The pulse will then be inverted upon reflection if one of the endpoints is fixed. As a result, when they collide, they cancel one another, leaving the amplitude at zero. As a result, the displacement at a string position where two pulses intersect is zero.

The correct option is (e).

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If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will Increase and true altitude will increase.

This refers to the vertical elevation of  a body and is the measurement of the height above the sea or ground level. An airplane's altitude is directly proportional to the airspeed as long as the power is constant.

This means that increase in airspeed will lead to an increase in altitude and vie versa. This is the reason why as it runs fast, it can be observed that it begins to elevate.

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The answer is τ is proportional to θ

A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM. This restoring force always moves in the direction of the mean position. The French mathematician Joseph Fourier made the discovery that any regularly recurring motion or wave, regardless of how complex its shape, may be thought of as the sum of a collection of straightforward harmonic motions or waves in 1822.

Consider a magnetic dipole that has been liberated from its equilibrium orientation in a homogeneous magnetic field.  Let the angle between the magnetic moment and the magnetic field be θ. The torque on the dipole due

to the external field is, τ=μXB

and magnitude of,     τ=μB sinθ

if the angle is small, then,    τ=μBθ

or,                                          τproportionalθ

which is the equation for a restoring torque, so the dipole tends to turn the dipole toward its equilibrium

orientation if displaced from its original position. So a magnetic dipole in a uniform magnetic field can oscillate as

a torsional pendulum in SHM if displaced from its equilibrium position.

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The forces during rocket launching are unbalanced as, without unbalanced force, there can not be any motion.

Forces constantly balance and become out of balance during a rocket flight. On the launch pad, a rocket is balanced. Gravity tries to pull the rocket down, but the surface of the pad pushes it upward.

When the rocket's engines are lit, the thrust from them causes the forces to become out of balance, which causes the rocket to ascend. For a rocket to launch from a launch pad or for a spacecraft to change speed or direction, an unbalanced force must be applied.

Therefore, when the rocket is in the process of launching, the forces that act on the rocket are unbalanced.

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Answer:

The two scales have different zero points and the Celsius degree is bigger than the Fahrenheit. However, there is one point on the Fahrenheit and Celsius scales where the temperatures in degrees are equal. This is -40 °C and -40 °F.

Explanation:

E = 1.024 10⁻⁷ N/C is the size of an electric field where a proton experiences an electric force that is equal to its weight.

The term "electric field" refers to the physical field that surrounds electrically charged particles and pulls or attracts all other charged particles nearby. Additionally, it describes the physical environment of a system of charged particles.

The answer to the question is that the electric force's strength is proportional to its weight.

F(q) = Weight.

F(q) = E × q

where;

E = electric field magnitude

q = charge on an electron.

Therefore;

E × q = m × g

E = (1.67 × 10^-27 × 9.81)/1.60× 10^-19

E = 1.024 × 10^-7 N/C

Therefore, the magnitude of the electric field is E = 1.024 10⁻⁷ N/C.

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Answer:

.587 s

Explanation:

d = 1/2 a t^2

1.69 m  = 1/2 ( 9.81 m/s^2) (t^2)

  t = .587 s

The ship is 354.87 km far away from its destination.

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

This triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse, in this case, is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

H²=P²+B² where,

H= Hypotenuse of the triangle

P= Perpendicular of the triangle and,

B= Base of the triangle

According to the question,

The ship is 307 km due south and 178 km east due to the storm.

So, H²=P²+B²

⇒H²=(307)²+(178)²

⇒H=√125933

H=354.87 km.

Hence, the ship is 354.87 km far away from its original position.

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The acceleration of the ball during the throwing motion is 5.28m/s².

Acceleration is defined as rate of change  of velocity w.r.t time.

a = dv/dt

velocity is the rate of change of displacement with respect to time.

final velocity ,

v = 37m/s

initial velocity,

u = 0m/s

distance, s = 3.5m  

acceleration = ?

equation of motion describes simple Concept of the motion make position, velocity, acceleration of an object.

Using the equation of motion

v² = u² + 2as

using above values we get

(37)² =(0)² + 2× a × 3.5

a = 37/7

a = 5.28m/s²

The acceleration of the ball during the throwing motion is 5.28m/s².

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