Using Kirchhoff's junction rule, determine which one of the following four diagrams would be the appropriate one to use for solving this problem.

However, it is around 93 million miles on average between Earth and the sun (150 million kilometers). This distance is also known as one astronomical unit by scientists (AU)

What does the term "astronomical" mean?

Astronomical: Extremely or unbelievable huge; of or connected to astronomy. The price was exorbitant. astronomically

What does astronomy mean exactly?

Like the other disciplines, astronomy too began as a -ology, although it was termed astrology. Astro-, which naturally meaning "star," is a prefix that both astrological and astronomy share. "Knowledge" or "science" are denoted by the prefix -ology.

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Considering that the volume remains unchanged during the experiment, the total pressure will decrease.

The pascal (Pa), or one newton per square meter (N/m²), is the SI unit for pressure. A unit of surface area is used to define pressure as force. The area that an object affects and the force it applies are both inversely proportional to the pressure that object exerts..

Pressure has a significant impact on all aspects of our lives, including the weather and flying. It is particularly significant during chemical reactions. Chemists can accelerate the transitions between solids, liquids, and gases as well as force chemical reactions to take place by varying the pressure.

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Complete question is attached below.

The magnitude of the average force on the wall is 2026 N to two significant figures.

Average force is the average of all the forces applied over a period of time. It is calculated by dividing the total force by the number of forces applied. For example, if you applied 10 forces over 10 seconds, the average force would be the sum of those 10 forces divided by 10. The average force is a measure of the average net force on an object over a given period of time and can be used to measure the rate of acceleration of an object. Average force can also be used in kinematics to calculate the velocity of an object over time.

The magnitude of the average force on the wall can be calculated using the equation: Force = (mass x velocity) / time, which can be rearranged to calculate Force = (mass x velocity) x time.
In this case, the mass of the snowball is 140 g, the velocity is 8.5 m/s, and the time of the collision is 0.19 s. Plugging these values into the equation gives us an average force of 2026.3 Newtons.
Therefore, the magnitude of the average force on the wall is 2026 N to two significant figures.

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On a road, an automobile moves around a turn with a 75 m radius. The weather is freezing and snowy. the correlation Therefore, the car's top speed without slipping is roughly 6.8 m/s.

The most professional way to say "not precisely" is "roughly," although "about" is more frequently used in everyday English. An average coffee costs $3. What will the price be, more or less? He makes about $30,000 each year.

Calculation

To find the maximum speed the car can travel without slipping, you can use the formula:

v = sqrt(μ * g * r)

where v is the maximum velocity, μ is the coefficient of friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the turn.

Plugging in the given values, you get:

v = sqrt(0.60 * 9.8 m/s^2 * 75 m) = sqrt(45.9 m^2/s^2) = 6.8 m/s

So the maximum speed the car can travel without slipping is approximately 6.8 m/s.

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The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.

Impulse is the sudden force or energy that causes an object to move in a particular direction. It is the product of a force applied over a certain period of time. Impulse is a vector quantity, meaning it has both magnitude and direction.

Forces such as gravity, friction, and pressure all create impulse. Impulse is also the integral of a force over a given period of time, which is the same as the change in momentum of an object. Impulse is an important concept in physics, as it can be used to describe the motion of objects and to calculate the velocity and acceleration of objects.

Using impulse-momentum theorem

[tex]\Delta p = F\Delta t[/tex]

p = 35 × 0.12

p = 4.2 Ns

Thus, The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.

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Both the force of "Hand on the book" and the force of "Earth on the book" are directed upward. The ground and the book are being drawn in toward the hand. As a result, the forces pulling on the hands are "Book on hand" and "Earth on hand."

Gravity, usually referred to as gravitation, is the unchanging force of attraction that binds everything together in physics. Being the weakest known force in nature, it has minimal effect on defining the inherent properties of everyday objects.

The force "Hand on the book" is directed upward, and the force "Earth on the book" is directed downward. The hand is being pulled toward the book and the earth.

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a. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001

b. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022

c. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002

d. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 2000, 0200, 0020, 0002

e. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 001

f. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020

Option e, there is a typo, it should be 0011 instead of 001.

A classical particle has a given position at a fixed time, even if we do not know this position. This is not anymore true for the quantum particle. For the quantum oscillator, the energy eigenfunctions and probability densities extend beyond the classical turning points.

The set of numbers used to describe the position and energy of the electron in an atom is called quantum number. There are four quantum numbers-principal, azimuthal, magnetic and spin quantum numbers.

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Answer:

Explanation:  There are particles 3 particles to make a gas

those are following :

1. Solids

2.liquids

3. gases

        are made of tiny particles called atoms and molecules.

If the front zone in front of the driver is closed, the other zone which you will be able to check is the rear zone.

The closed zone refers to a space which is not open to view because of the restriction in the line of sight or intended path of travel.

A yellow or red traffic signal, a yield sign, or something moving into your intended route of movement are all indicators of a closed front zone. You must be ready to slow down or stop if you have seen a closed zone at a junction. Check your back zone as soon as you locate a closed zone. Start braking if it is already open. If the rear zone is closed, lightly press the brake pedal a few times to signal to the driver in back that you are stopping.

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A bicycle and its rider must go at a speed of 30 m/s in order to have the same momentum as a 1500 kg car moving at 2.0 m/s with a combined mass of 100 kg since there is no directional component.

A scalar value must represent speed. Physics uses the total distance travelled and the total time required to travel that distance to calculate average speed. Speed is the pace at which an object's location changes, measured in metres per second. The amount of matter in a physical body was formerly believed to be connected to one of a body's fundamental characteristics, mass.

1500*2.0 = 100*V, or 3000/10

V = 30 m/s.

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The electric potential at a point that is 25% of the way from one particle to the other is 400 V

Electric potential is the effort required to transport a single charge from one point to another in the presence of an electric field. Earth is typically chosen as the reference point, but any location outside the range of a electric field charges may be used. potential electricity.

A position halfway among identical charged particles has an electric potential of 300 V.

Potential V= 300 V

Assume the distance between the charge is 2r.

The potential at mid point

Using formula of potential

V =K q / r

At mid point

V = V' + V"

V = K *q / r + K *q / r

2 Kq / r = 300

If a potential at a place is 25% of the distance between two particles

We must determine the separation between the charges.

d = 2r × 25 / 100

d = r / 2

We need to calculate the new potential

Using formula of potential again

V = V' + V"

V = K q / r/2 + K q / 3r/2

V = 2K q / r (1 + 1/3 )

On Putting the value of (2Kq / r)

V = 300 * (1 + 1/3 )

V = 400 V

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the  Average acceleration of the ball is 4704.6 m/s² away from the wall.

Acceleration is the rate of change of velocity.

To calculate the acceleration of the ball, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the  acceleration of the ball is 4704.6 m/s².

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Answer:

39 km/hr (rounded)

Explanation:

use the equation speed=distance/time

Answer:

Explanation:

3hrs 45mins = 3 3/4 hours or 15/4 hours

average speed = 145km/15/4 = 145 x 4/15 = 29 x 4/3 = 38.67 km/h

m/s = 5/18 km/h

38.67 x 5/18 = 10.74 m/s

The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.

Velocity is a vector quantity that describes the rate of change of an object's position in a given direction. It is typically represented as a combination of a magnitude (speed) and a direction.

To determine the distance the runner travels in the next 4.80 s, we can use the equation of motion for constant acceleration:

d = vi*t + (1/2)at^2

where d is the distance traveled, vi is the initial velocity, t is the time interval, and a is the acceleration.

In this case, the initial velocity is 8.80 m/s, the acceleration is -2.40 m/s^2 (since it is deceleration), and the time interval is 4.80 s.

So, we can plug in the known values into the equation:

d = vi*t + (1/2)at^2

d = 8.804.80 + (1/2)(-2.40)*(4.80)^2

d = 42.24 m

The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.

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The statement "Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series" is True.

The formula Lt = L1 + L2 + L3 is the correct formula for finding the total inductance of a circuit when there is more than one inductor connected in series.

When inductors are connected in series, the total inductance of the circuit is the sum of the individual inductances of the inductors. This is because the magnetic field created by each inductor adds together and the effective inductance is the sum of the individual inductances.

This is based on the principle of additivity of inductances in series. The total inductance of a series circuit is equal to the sum of the individual inductances. The current flowing through each inductor is the same and the voltage across each inductor is proportional to its inductance.

It is important to note that this formula is only true for inductors connected in series. When inductors are connected in parallel, the total inductance is given by the formula:

1/Lt = 1/L1 + 1/L2 + 1/L3 + ...

Where L1, L2 and L3 are the inductances of the inductors.

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Answer:

b

Explanation:

A force vector with magnitude 750 N and angle 30⁰ can be written as a Cartesian vector as: F = 375√3 i + 375 j

A vector can be written as its x-component and y-component.

Suppose the angle of a vector F with the positive x-axis is θ, then its components are given by:

Fx = F cos θ

Fy = F sin θ

Then,

F = Fx i + Fy j

  = F cos θ i + F sin θ j

In the given problem, θ = 30⁰, F = 750.

Hence,

Fx = 750 cos 30⁰

    = 750 (1/2)√3 = 375√3

Fy = 750 sin 30⁰

   = 750 (1/2) = 375

Thus, the vector can be written as a Cartesian vector:

F = 375√3 i + 375 j

Your question is incomplete, most likely your question was:

Express the force as a Cartesian vector. F 750 N. The angle of the force vector with the horizontal is 30⁰.

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"A bicycle that travels twice as fast as another when braking to a stop will skid four times as far."

Kinetic energy has a speed term squared in its expression.

Accordingly, doubling your speed will result in a four times increase in energy (2² = four). Your energy will increase nine times if your pace is three times faster (3² = 9).

The energy of motion is known as kinetic energy, and it can be observed in the motion of objects or subatomic particles. Kinetic energy is present in all particles and moving objects. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.

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Wave motion that is perpendicular to wave direction describes a transverse wave.

A transverse wave is a type of wave that moves perpendicular to its direction of energy transfer. This type of wave is characterized by oscillations or vibrations that take place perpendicular to the direction of energy propagation. Examples of transverse waves include electromagnetic waves such as light, radio waves and microwaves, as well as mechanical waves such as sound, seismic and ocean waves. In a transverse wave, the direction of the vibration is perpendicular to the direction of the energy transfer, while the direction of the energy transfer is parallel to the wavefront. Transverse waves can be described by their amplitude, frequency and wavelength. The amplitude of a transverse wave is the maximum displacement from its equilibrium position, while the frequency is the number of vibrations per second and the wavelength is the distance from one peak or trough to the next.

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Ranking these quintuplets on the basis of the year Part A: E > A > C > D > B.

Ranking these quintuplets on the basis of their age when they return from their journey Part B: E > A > C > D > B

A set of five infants called quintuplets is born all at once. A baby who is one of these sets is known as a quintuplet and occasionally goes by the nickname "quint."

Even though quintuplets and other higher-order multiple births, also known as super twins, are uncommon, there has been an increase in these pregnancies due to the increased use of fertility medications and assisted reproductive technologies.

Using on the time dilation formula we can rank the quintuplets. if [tex]$T^{\prime}$[/tex] is the time measured by Earth and [tex]$T$[/tex] is the time measured on space ship, then

[tex]$ T^{\prime}=\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} $Here, $v$ is the speed of the journey by the earth and $c$ is the speed of the light.Part A:$A: T=20$ years, $v=0.4 c$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =21.82 \text { years }\end{aligned}$$[/tex][tex]$$B: $T=5$ years,$v=0.2 c$$$\begin{aligned}T_B^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{5 \text { years }}{\sqrt{1-\frac{(0.2 c)^2}{c^2}}} \\& =5.10 \text { years }\end{aligned}$$$C: T=10$ years, $v=0.8 c$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =16.67 \text { years }\end{aligned}$$[/tex]

[tex]$\mathrm{D}: T=10$ years, $v=0.4 \mathrm{c}$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =10.91 \text { years }\end{aligned}$$$\mathrm{E}: T=20$ years, $v=0.8 \mathrm{c}$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =33.33 \text { years }\end{aligned}$$Hence, the rank from largest to smallest is$$E > A > C > D > B[/tex]

Part B: A 11 the five quintuplets have same age when they leave the earth. Hence, the order from largest to smallest on the basis of their age is al so same as the part A.

                                              E > A > C > D > B

Thus, PART A:  20 yrs ,0.8 c then 20yrs, 0.4c then 10yrs, 0.8c then 10 yrs, 0.4c then 5yrs, 0.2c.

PART B: 20yrs=20yrs, 10yrs=10yrs, 5yrs

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The longitudinal wave has a 2 m per second wavelength if it covers a distance of 10 m.

By calculating the distance between two identical locations on adjacent waves, the wavelength is always found. When determining the wavelength of the a longitudinal wave, the distance from one compression to another or from one rarefaction to a next is measured.

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places subsequent crests in the consecutive cycles. This length is typically defined in wireless systems in meters m, centimeters cm, or millimeters mm.

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Amanda would need to catch up to Ben in 6/10 hours, or 0.6 hours.

Use the distance equation d = st, which reads distance equals speed times time, to find the distance. Given that both rate and speed denote a specific amount of travel per unit of time, such as miles per hour or kilometers per hour, they are comparable. R = s = d/t indicates that rate r is equal to speed s.

At 7 miles per hour, Amanda starts jogging down the same path.

Thus, following t hours, Amanda's position is determined by:

A(t) = 7t

Ben begins moving at a 2mph pace along a path.

Ben will be at position 2×1.5 = 3 when Amanda departs in an hour and a half. Ben's position therefore after t hours is as follows:

B(t) = 3+2t

A(t) = B(t)

7t = 3+2t

5t = 3

t = 3/5

t = 0.6hrs

So, Amanda will catch up Ben after 0.6 hours.

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Complete question " Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?".

The bulb will use 584 kW per year.

An electronic bulb is a small and simple light source that uses a wire filament to glow when electricity is applied.

The filament, which is a coiled thin wire, is made of tungsten.

The filament is enclosed in a ball-shaped glass socket and is connected by copper and lead wires attached to the base of the lamp.

The wires and filament are enclosed in a glass bulb that is filled with an inert gas such as argon.

Thin glass is used to make the bulb, which prevents air from reaching the filament and protects it from burning.

Conversion of watts to kilo-watts

1 Watts = 0.001 kW

400 Watts = 0.4 kW

Average working of the bulb = 4 hours

Total time taken by the bulb in a year

= 4 * 365

= 1460 hours

Total power consumed in the year = 584 kWh

The bulb represents 584 kwh per year.

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On the same side as the object, the distance is negative, so the apparent distance of the insect from the drop's surface is -3.0 mm. This means the insect appears to be 3.0 mm inside the surface of the drop.

The apparent distance from the drop's surface can be calculated using the formula for the radius of curvature of a spherical mirror, which is given by:

1/R = (n-1)(1/R1 + 1/R2)

Where R is the radius of curvature of the spherical mirror, n is the refractive index of the medium between the object and the mirror, R1 is the distance of the object from the mirror, and R2 is the distance of the image from the mirror.

R1 = 1.0 mm (distance of the object from the center of the spherical mirror)

R2 = ? (distance of the image from the center of the spherical mirror)

1/R = (1 - 1)(1/1.0 mm + 1/R2)

R2 = -1/ (1/1.0 mm - 1/R)

We know that R = (4.0/2) mm = 2.0 mm, so we can substitute that into the equation and solve for R2:

R2 = -1/ (1/1.0 mm - 1/2.0 mm)

R2 = -3.0 mm

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The velocity of the hammer after 8 sec will be 14 m/s in the downward direction which is represented by the negative symbol.

Calculation=

a=-3.5 m/s^2

so v= u +at

u =14 m/s

so v= 14-8*3.5

=-14 m/s

so its speed will be 14m/s downward

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

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The impedance of the parallel RC branch is 7.07 ohms. It is denoted by the letter Z.

The total resistance a circuit or a section of a circuit provides to electric current is measured as electrical impedance. Resistance and reactance are both parts of impedance. The current-carrying charged particles collide with the conductor's internal architecture, creating the resistance component.

Resistance and reactance combined makeupup impedance. Ohm is the SI unit for reactance (X), resistance (R), and impedance (Z). Electrical parts like capacitors and inductors offer reactance, a type of fictitious resistance. Inductive reactance, denoted by the formula XL = 2fL, is the reactance offered by the inductor.

[tex]I_C = E_C_ / X_C_[/tex]

[tex]I_C = 10 / 10[/tex]

[tex]I_C= 1 A[/tex]

[tex]I_R= E_R_ / R[/tex]

[tex]I_R_ = 10 / 10[/tex]

[tex]I_R = 1 A\\I_T = sqrt (I_R^2 + I_C^2)\\I_T_ = sqrt (1 + 1)\\I_T= 1.414 A\\Z_RC = E_RC_/ I_T\\Z_RC_ = 10 / 1.414\\Z_RC_ = 7.07 ohms[/tex]

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The idea that boosting the size would enhance the energy the egg would encounter upon impact with the surface defies logic. The little egg was unharmed when plopped onto 1 inch of foam.

Increase has a range of often used synonyms, including expand, enlarge, and treble. All of the aforementioned verbs mean "to make by becoming greater," but "growing" in the passive voice denotes a steady increase in size, volume, or power. However, if used in the productive, it may also suggest a quick addition rather than a slow expansion. As he aged, his waistline expanded.

Numbers can be organized from lowest value to greatest value in ascending order. Left to right is the order. Another is bringing more order.

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The overestimate and underestimate are 10.36 m and 51 m/h.10.28 m is the new estimate.

a) To estimate the distance that the bug crawls during this hour, we can use the formula:

distance = velocity multiplied by time

Using t = 0.2, we can find an overestimate by using t = 0.8 and an underestimate by using t = 0.

Overestimate: velocity = 51 + 0.8 = 51.8 m/h, distance = 51.8 x 0.2 = 10.36 m.

Underestimate: distance = 51 x 0.2 = 10.2 m velocity = 51 + 0 = 51 m/h

b) To find a new estimate, we can average the overestimate and underestimate: (10.36 + 10.2) / 2 = 10.28 m is the new estimate.

We used the formula distance = velocity x time to estimate how far a bug crawls in an hour. The velocity of the bug is given by the equation v = 51 + t, where t is the time in hours. To calculate the distance, we need to know the value of t.

In this case, we have a time range of 0  t  1, and we have chosen a small time interval of t = 0.2 to estimate the distance. Using this time interval, we can calculate the distance at different points in time within the given range.

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Two spherical stars of mass mA​ and mB​ form a binary star system by circling around their common center of mass.

mass. [ măs ] A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.

A Volume is the amount of space a three-dimensional object occupies and it is measured in cubic units. Two examples of cubic units are cm3 or in3. Mass on the other hand is a measure of how much matter is in an object.

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The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.

Given that,

Radius of the track r = 44 m

Inclination θ = 16°

Mass of car m = 1563 kg

Coefficient of kinetic friction μ = 0.72

By analysing the free body diagram, we get,

N cos θ - fr - m g = 0  ----(1)

where, N is normal reaction

fr is friction

N cos θ + fr cos θ = mv²/r  ----(2)

fr = μ N ----(3)

From (1), (2) and (3) we get maximum velocity without skidding as,

v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s

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