A car travels 18 km / h to the northwest. What is the speed of this car seen from another car going south at 60 km / h?

Answers

Answer 1

Answer:

73.8 km/h

Explanation:

The velocity of object A relative to object B is:

v = va − vb

Let's say east is +x and north is +y, and angles are measured from +x.

The velocity of the first car in the x direction is:

18 km/h cos 135° = -9√2 km/h

The velocity of the first car in the y direction is:

18 km/h sin 135° = 9√2 km/h

The velocity of the second car in the x direction is:

60 km/h cos 270° = 0 km/h

The velocity of the second car in the y direction is:

60 km/h sin 270° = -60 km/h

The relative velocity in the x direction is:

vₓ = -9√2 km/h − 0 km/h = -9√2 km/h ≈ -12.7 km/h

The relative velocity in the y direction is:

vᵧ = 9√2 km/h − (-60 km/h) = 9√2+60 km/h ≈ 72.7 km/h

The speed, or magnitude of the velocity, is:

v = √(vₓ² + vᵧ²)

v = √((-12.7 km/h)² + (72.7 km/h)²)

v ≈ 73.8 km/h


Related Questions

The large-scale distribution of galaxies in the universe reveals Group of answer choices a smooth, continuous, and homogenous arrangement of clusters large voids, with most of the galaxies lying in filaments and sheets a large supercluster at the center of universe a central void with walls of galaxies at the edge of the universe

Answers

Question

 

The large-scale distribution of galaxies in the universe reveals

A) a smooth, continuous, and homogenous arrangement of clusters

B) large voids, with most of the galaxies lying in filaments and sheets a large supercluster at the center of the universe

C) a central void with walls of galaxies at the edge of the universe

Group of answer choices

Answer:

The correct answer is B)

Explanation:

The universe is arranged in a filamentary structure. Filamentary structures are very large. They are the largest kind of structures in the universe and comprise mostly of galaxies that are held together by gravity.

The structures found within Galaxy filaments have thread-like qualities spanning 52 to 78.7 megaparsecs h⁻¹ in lenght.

Other phenomena associated with the nature fo the universe is the existence of void spaces.

Cheers!

Trivikram jogs from one end of corniche to its other end on a straight 300 m road in 2 minutes 50 seconds and then turns around and jogs 100 m back on same track in another 1 minute. What is his average speed and velocity

Answers

Answer:

average speed = 1.73m/s

average velocity = 3.33m/s

Explanation:

we'll find the average speed first

average speed = total distance / total time

his total distance is 300m + 100m

= 400m

and total time should be taken in seconds as you know

((2×60)+50) + 60s

= 230s

so let's divide,

400m/230s

1.73 m/s

next, mean velocity

that is,

mean velocity = final- initial displacement/time

we have to note displacement ( this is the distance between the initial point to final point) here

the displacement is 300-100

so, 200m

we already calculated total time

but that cant be taken here

230 - 170

is the original time to travel 200m

that is, 60s

so we divide

200/60

3.33m/s

A small child has a wagon with a mass of 10 kilograms. The child pulls on the wagon with a force of 2 newtons. What is the acceleration of the wagon?

Answers

Answer:

0.2 m/s²

Explanation:

Given,

Mass ( m ) = 10 kg

Force ( f ) = 2 Newtons

Acceleration ( a ) = ?

Now, let's find the acceleration :

We know that,

[tex]f = ma[/tex]

Plug the values

[tex]2 = 10a[/tex]

Swap the sides of the equation

[tex]10a = 2[/tex]

Divide both sides of the equation by 10

[tex] \frac{10a}{10} = \frac{2}{10} [/tex]

Calculate

[tex]a = 0.2 \: {metre \: per \: second \: }^{2} [/tex]

Hope this helps...

Best regards!!

Bruno the bat flies at a speed of 0.5 m/s in circle of radius 1 m. What is his acceleration?

Very urgent pls help

Answers

Answer:

Acceleration is 0.25m/s^2

Explanation:

Given the following :

Speed = 0.5m/s

Radius(r) of circle = 1m

Acceleration round a circular path is given as :

a = v^2 / r

Where

a = acceleration of the body

v = speed / velocity

r = radius

Therefore,

a = v^2 / r

a = (0.5)^2 / 1

a = 0.25m/s^2

Which force is there between an ice skate and the ice​

Answers

The answer is friction
friction

At the same time, if there were no friction at all on ice, skating would be impossible, because it is the friction between the skate and the ice when a skater pushes off that starts the motion to begin with. And friction is also what allows a skater to ever come to a stop.

a boy has a mass of 80kg on earth where g= 10N/kg a) what is his mass on the moon b ) find his weight on the moon ( g= 10N/kg) ​

Answers

Explanation:

mass on moon is also 80kg because it doesn't differed according to place.

I think we can't calculate weight because there is no gravity in moon

Answer  80kg

Explanation      Mass is constant in every corner of universe. It's better if u have asked about weight on moon. It is same in both earth and moon.

CAN YOU HELP ME IN THE FOLLOWING EQUATION THE SPEED IS V = A + BT. DETERMINE THE DIMENSIONS OF A AND B

Answers

Answer:

A = [m/s]

B = [m/s²]

Explanation:

Assuming that V has SI units of m/s, then A and BT must also have units of m/s.

A = [m/s]

BT = [m/s]

Since T has SI units of s:

B [s] = [m/s]

B = [m/s²]

Please help ASAP. A car engine with a mass of 1750 kg can exert 215 000 W. a) How long will it take the car to reach 95.0 km/h if the car is 100% efficient? b) If it actually takes the car 6.5 s to reach 95.0 km/h, what is the efficiency of the car?

Answers

Answer:QUESTION①)

✔ First step : calculate the kinetic energy that this car requires to reach 95 km/h

95/ 3,6 ≈ 26,4 m/s  

Ec = ½ m x V²  

With Ec in J; m in kg; and V in m/s  

Ec = ½ 1750 x 26,4²  Ec ≈ 610 000 J

✔ Knowing that the car has a p power of 215,000 W, so :

T = E/P  

T = 610 000/215 000  T ≈ 2.8 s The car takes 2.8 s to reach 95 km/h

QUESTION②)

N = 2,8/6,5 x 100 = 43.07

The car efficiency is 43 %

Whenever the alternating current frequency in a series RLC circuit is halved,
a. the inductive reactance is doubled and the capacitive reactance is halved.
b. the inductive reactance is doubled and the capacitive reactance is doubled.
c. the inductive reactance is halved and the capacitive reactance is halved.
d. the inductive reactance is halved and the capacitive reactance is doubled.
e. the reactance of the circuit remains the same.

Answers

Answer:

The correct option is

a. The inductive reactance is doubled and the capacitive reactance is halved

Explanation:

For a series RLC circuit, is a resonant circuit such that the impedance, Z, is minimum at the resonance frequency

Also we have that the capacitive reactance [tex]X_C[/tex], is given as follows;

[tex]X_c = \dfrac{1}{\omega \cdot C}[/tex]

Where;

ω = Angular frequency = 2πf

Where;

f = The frequency in the circuit

[tex]\therefore X_c = \dfrac{1}{2 \cdot \pi \cdot f \cdot C}[/tex]

The inductive reactance is also given as follows;

[tex]X_L = \omega \cdot L = 2 \cdot \pi \cdot f \cdot L[/tex]

Therefore, when the circuit frequency doubles, the inductive reactance doubles and the capacitive reactance halves

When the alternating current frequency in a series RLC circuit is halved,  the inductive reactance is doubled and the capacitive reactance is halved.

What is an alternating current frequency?

An Alternating current (ac) frequency is known to be the amount of cycles per second that can be found  in an ac sine wave.

The Frequency is known to be the rate through which the current changes direction in terms of per second. It is said to be often measured in hertz (Hz). Note that the alternating current frequency in a series RLC circuit is halved,  the inductive reactance increases and the capacitive reactance is reduced.

Learn more about  alternating current from

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A 20.0 Ohm and 60.0 Ohm resistor
are connected in series to a 9.00 V
battery. What is the voltage drop
across the 20.0 Ohm resistor?
(Hint: How much current flows
across it?)
(Unit = V)

Answers

Answer:

2.25 V

Explanation:

The equivalent resistance is:

R = 20.0 Ω + 60.0 Ω

R = 80.0 Ω

The current is:

V = IR

9.00 V = I (80.0 Ω)

I = 0.1125 A

The voltage drop across the 20.0 Ω resistor is:

V = IR

V = (0.1125 A) (20.0 Ω)

V = 2.25 V

The north pole of a bar magnet is rapidly introduced into a solenoid at one end (say A). Which of the following statements correctly depicts the phenomenon taking place?
(a) No induced emf is developed.
(b) The end A of the solenoid behaves like a south pole.
(c) The end A of the solenoid behaves like north pole.
(d) The end A of the solenoid acquires positive potential.

Answers

Answer:

The correct option is;

(b) The end A of the solenoid behaves like a north pole

Explanation:

According to Lenz's law we have that the induced emf direction in the solenoid due to the rapid introduction of the bar magnet will be such that the electric current induced will have a resultant magnet field that will  oppose to the movement of the north pole of the bar magnet that resulted in the magnetic field

Therefore, the opposing magnetic pole to the north pole of a magnet is a north pole and the solenoid end A will act like the north pole.

Round the numbers that follow to three significant figures and express the result in standard exponential notation: (a) 143,700; (b) 0.09750; (c) 890,000; (d) 6,764E4; (e) 33,987.22; (f) - 6.5559.

Answers

Explanation:

Non-zero digits are always significant.

Zeros between significant digits are also significant.

Trailing zeros are significant only after a decimal point.

(a) 143,700

First, write in scientific notation.

1.437×10⁵

Now, round to 3 significant figures.

1.44×10⁵

(b) 0.09750

= 9.750×10⁻²

= 9.75×10⁻²

(c) 890,000

= 8.9×10⁵

= 8.90×10⁵

(d) 6,764×10⁴

= 6.764×10⁷

= 6.76×10⁷

(e) 33,987.22

= 3.398722×10⁴

= 3.40×10⁴

(f) -6.5559

= -6.5559×10⁰

= -6.56×10⁰

The scientific notation and round-off of the number are given below:-

(a) 143,700     = 1.44×10⁵

(b) 0.09750   = 9.75×10⁻²

(c) 890,000   = 8.90×10⁵

(d) 6,764×10⁴ = 6.76×10⁷

(e) 33,987.22 = 3.40×10⁴

(f) -6.5559     = -6.56×10⁰

What is a scientific notation?

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may be called scientific form.

When a number is written using only the digits of the number, that is considered standard notation. Since words are not used in conventional number notation, this is the way that numbers are typically written.

Non-zero digits are always significant. Zeros between significant digits are also significant.

Trailing zeros are significant only after a decimal point.

(a) 143,700

First, write in scientific notation.

1.437×10⁵

Now, round to 3 significant figures.

1.44×10⁵

(b) 0.09750

= 9.750×10⁻²

= 9.75×10⁻²

(c) 890,000

= 8.9×10⁵

= 8.90×10⁵

(d) 6,764×10⁴

= 6.764×10⁷

= 6.76×10⁷

(e) 33,987.22

= 3.398722×10⁴

= 3.40×10⁴

(f) -6.5559

= -6.5559×10⁰

= -6.56×10⁰

Therefore, the numbers can be written in the scientific notations as above.

To know more about scientific notations follow

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Na (g) + 2HCl (g) -> H2 (g) + 2NaCl (s) is a balanced equation? True or false?

Answers

Answer:

False,  the given equation is not balanced.

Explanation:

The given equation is:

Na(g) + 2HCl(g) → H₂(g) + 2NaCl(s)

And it is not balanced, the number of atoms of Na is not the same on both sides of the equation.

The balanced equation is:

2Na(g) + 2HCl(g) → H₂(g) + 2NaCl(s)          

Now, the given equation is balanced, we have the same number of atoms on both sides of the equation.

Therefore, the answer is false, the given equation is not balanced.

I hope it helps you!

There are only six player per teams in a hockey game. A group of 14 friends wants to start a game. What is the most sportsman-like way to set up the game ?

Answers

Answer:

We have 14 friends, and each team must have 6 players:

Then, in the two teams, we have 2*6 = 12 players.

This will mean that 2 of the friends can not be included in the game.

To solve this:

For example, each of those 2 players go to one of the teams, so we actually have two teams of 7 players.

Only 6 of them will play at the time, and the other player will rotate each fixed amount of time

Then the correct answer would be:

Rotate the players (in the teams) so all of them can play.

A truck is moving with a certain uniform velocity. It is accelerated uniformly by 0.75 m/s^2. After 20 seconds , the velocity becomes 72km/h.Find the initial velocity

Answers

Answer:

Vi = 5 m/s

Explanation:

let (a) acceleration = 0.75 m/s²

(t) time = 20 seconds

Vf = final velocity = 72 km/hr  (convert to m/s to units consistency = 20 m/s)

find Initial velocity (Vi)

       Vf - Vi

a =  -----------

             t

Vi = Vf - (a * t)  = 20 - (0.75 * 20)

Vi = 5 m/s

Question 21 of 25
Barry slides across an icy pond. The coefficient of kinetic friction between his
shoes and the ice is 0.15. If his mass is 83 kg, what is the force of friction
acting on him
O A 352 N
O B. 122 N
C. 1150 N
O D. 813N​

Answers

Answer:

B. 122N

Explanation:

f = 0.15 x 83 x 9.8 = 122.01

f = 122N

Answer would be B. 122 N

If two people are running at the same speed in the same direction. One person is one meter ahead of the other. The person in front throws a ball to the person slightly behind. As seen by an observer at rest on the ground, is it possible that the ball looks as if it was thrown forward

Answers

Answer:yes

Explanation:

Spring balance measures weight, not the mass of a body.​

Answers

Answer:

That is true and is easily explained by the next equation:

W= m*g

where

W= Weight

m=mass

g= gravitational acceleration

so, if you use a spring balance in another planet with a different gravitational acceleration the measured weight will be different.

Suppose a piece of food is on the edge of a rotating microwave oven plate. Does it experience nonzero tangential acceleration, centripetal acceleration, or both when: (a) The plate starts to spin

Answers

Answer:

the only acceleration it has is radial (centripetal)

Explanation:

The microwaves plate rotates at a constant speed after a very short period of acceleration.

Therefore we can apply Newton's second law

        F = m a

where the acceleration is centripetal

         a = v2 / r = w2 r

therefore as it rotates constant speed it cannot have a tangential acceleration since it changes the modulus of the speed.

Consequently the only acceleration it has is radial (centripetal)



A force produces an acceleration of 5 ms
when applied on a body of mass 4 kg. The
magnitude of the force applied is​

Answers

F = m • a (I. Newton)

F = (4 kg) x (5 m/s^2)

F = 20 Newtons

Answer the following three questions in complete sentences. 1. How much does the earth weigh? 2. How far away is the sun? 3. What is a black hole?

Answers

Answer: find the answer in the explanation.

Explanation:

1.) The weight of the earth can be calculated and estimated by the physicist by considering the mass of the earth and the knowlegde of gravity.

If the mass of the earth is considered to be 6 × 10^24 kg. Then with Physics formula and some mathematical techniques, we can conclude that the weight of the earth is approximately equal to 6 × 10^25 N.

2.) The distance of the sun to the earth is approximately 1.5 × 10^8 km. This measure is the distance from the surface of the earth to the sun.

3.) The black hole is approximately the size of the earth of very large gravitational field strength. It is a region of space of enormous gravity where no particular object can escape from it. Even electromagnetic radiation or light cannot escape from it.

Answer:

The Earth weighs 5.972 × 10^24 kg

The Sun is 94.022 million miles away.

A black hole is is a region of spacetime where gravity is so strong that nothing, no particles or even electromagnetic radiation such as light can escape from it. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole.

I hope this helps!! :)

calculate the magnitude of the electric field intensity in vacuum at a distance of 20 cm from a charge of 5 * 10 raise to power - 3 column​

Answers

Answer:

1.1259*10^9 Newton per Columb

Explanation:

the magnitude of the electric field intensity can be calculated using the expresion below;

E=Kq/r^2

Where k= constant

q= electric charge

r=distance= 2cm= 20*10^-2m( we convert to m for unit consistency

:,K=59*10^9 Columb

If we substitute the value into above formula we have

E=(9*10^9)*(5*10^-3)/(20*10^-2)^2

=1.1259*10^9 Newton per Columb

Therefore,the magnitude of the electric field intensity in vacuum at a distance of 20 cm is 1.1259*10^9 Newton per Columb

define the apparent cubic expansivity of a liquid​

Answers

Answer:

THE APPARENT CUBIC EXPANSIVITY OF A LIQUID : is defined as the increase in volume per unit volume per unit rise in temperature when the liquid is heated in an expansible vessel.

Can someone please help me?

An alien spaceship is 650 m above the ground and moving at a constant velocity of 175 m/s upwards.
How high above the ground is the ship after 5 seconds?​

Answers

Answer:

1525 meters above ground

Explanation:

So to do this you will need to write this in slope intercept form or [tex]y=mx+b[/tex]. So 650 would be the b, 175 would be the m, and the x would be 5 so the equation would be [tex]y=175(5)+650[/tex] so if you solve or simplify the equation you will get 1525 meters above the ground and that would be our final answer.

Three resistors, A, B, and C, are connected in parallel and attached to a battery, with the resistance of A being the smallest and the resistance of C the greatest. Which resistor carries the highest current?

Answers

Answer:

Resistor A

Explanation:

Resistors A, B and C are connected in parallel to a battery of voltage represented by V.

Since they are in parallel, the same voltage, V, passes across the three of them.

And from Ohm's law, the voltage (V) through a resistor is the product of the current (I) flowing through it and the resistance (R) of the resistor. i.e

V = I x R

=> I = [tex]\frac{V}{R}[/tex]

Therefore, assuming the values of the resistances of resistors A, B and C are A, B and C respectively,

(i) the current, [tex]I_{A}[/tex] through A is

[tex]I_{A}[/tex] = [tex]\frac{V}{A}[/tex]

(ii) the current, [tex]I_{B}[/tex] through B is

[tex]I_{B}[/tex] = [tex]\frac{V}{B}[/tex]

(iii) the current, [tex]I_{C}[/tex] through C is

[tex]I_{C}[/tex] = [tex]\frac{V}{C}[/tex]

From the foregoing, it can be deduced that the current is inversely proportional to the resistance. Therefore, the higher the resistance, the lower the current. Consequential of this, the resistor that carries the highest current is the one with the smallest resistance, which is A

Resistor A

Given:

Resistors A, B and C are connected in parallel to a battery of voltage represented by V.

Since they are in parallel, the same voltage, V, passes across the three of them.

Ohm's law:

It states that voltage (V) through a resistor is the product of the current (I) flowing through it and the resistance (R) of the resistor. i.e.

V = I x R

⇒ I = V/R

Therefore, assuming the values of the resistances of resistors A, B and C are A, B and C respectively,

(i) the current,  through A is

[tex]I_A=\frac{V}{A}[/tex]  

(ii) the current,  through B is

[tex]I_B=\frac{V}{B}[/tex]

(iii) the current,  through C is

[tex]I_C=\frac{V}{C}[/tex]  

From the Ohm's law we can say that the current is inversely proportional to the resistance.

Therefore, higher the resistance, the lower is the current.

It is given that resistance of A being the smallest, thus is will carries the highest current.

Learn more:

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A rocket moves through empty space in a straight line with constant speed. It is very far from any star or planet. Under these conditions, the force that must be applied to the rocket in order to sustain its motion is

Answers

Answer:

analysis the force is zero

Explanation:

Let's apply Newton's second law

         F = m a

In this equation we see that the force is directly related to the acceleration, as they indicate that the rocket is far from any planet or star has no force applied to it, therefore they also relate it to zero.

Change we can analyze the exercise with Newton's first law, which indicates that an object maintains its constant speed in a straight line has no forces applied to it.

In either analysis the force is zero

You release a pendulum of mass 1 kg from a height of 0.75 m. If there is no air resistance, how fast is the pendulum going when it reaches the bottom

Answers

Explanation:

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 9.8 m/s² × 0.75 m)

v = 3.83 m/s

Please answer this question

Answers

Explanation:

m = kg. v=m/s. g=m/s^2. h= m

>>1/2mv^2=mgh

>>1/2mv^2=mgh>> kg*(m/s)^2= kg*m/s^2*m

>>1/2mv^2=mgh>> kg*(m/s)^2= kg*m/s^2*m>>kg m^2/s^2=kg m^2/s^2 the fraction 1/2 won't be able to make any changes to to the dimensional expression of energy i.e half of energy is still energy therefore you can neglect the number .

>>kg m^2/s^2=kg m^2/s^2

>>J= J

Whats a scientific clame?

Answers

Answer:

A claim made by scientists backed up with evidence and research!

Explanation:

Hope this helped! :)

differentiate between earthworm and housefly​

Answers

Answer:

Earthworm lives in the soil, eats the soil which has organic matter such as decaying vegetation or leaves and crawls. While housefly lives in dirty places, feeds on faeces and flies.

Hope I get a brainliest answer.

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Consider the Equation y > 3x + 1 (a) Find an ordered pair that satifies the equation (b) Is the equation a Releation? explain (c) Is the equation a Function? explain Magnetic field lines form closed loops:________.a) Around and through bar magnets.b) Through current-carrying loops.c) Around current-carrying straight wires.d) All of the above. Which is the best paraphrase of the text?It can be easy to get tired and sweaty when riding abike too fast. Riding a bike too slowly can also beproblematic. Be a brave cyclist!O Give in, and ride fast. Be careful about zigzagging,Don't worry when you ride a bike!O Riding fast can be exhausting, and riding slowlymay cause traffic delays. Watch out!O The best way to ride a bicycle is at high speeds, butsome like to ride extremely slowly. When you ride,you don't need to look around. when Charles eats Oreos , he likes to dunk 2 out of every 5 cookies in a cold glass of milk. if he eats a total of 15 Oreos , how many will he dunk ? how many will ge eat without dunking? The Massive Resistance speech and the Southern Manifesto are examples of -resistance to desegregation by some white Southerners.-Southern plans to desegregate the schools. -federal plans to force integration in Southern schools. For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.) You are interested in a potential treatment for compulsive hoarding. 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Which triangles area can be calculated using the trigonometric area formula? Simplify the expression using the order of operations. 2[16-52]4 The citric acid is a stage of catabolism that oxidizes acetate into carbon dioxide and generates energy. There are eight enzymes involved in the citric acid cycle. 1. Which enzymes produce NADH as a product? a. alpha-ketoglutarate dehydrogenase b. succinate dehydrogenase c. malate dehydrogenase d. isocitrate dehydrogenase 2. Which enzymes produce carbon dioxide as a product? Select all that apply. a. malate dehydrogenase b. isocitrate dehydrogenase c. succinate dehydrogenase d. alpha-ketoglutarate dehydrogenase 3. Which enzymes produce coenzyme A as a product? Select all that apply. a. fumarase b. citrate synthase c. succinyl-CoA synthesase d. citraste synthase 4. Which enzymes have an alpha-keto acid substrate? Select all that apply. a. fumarase b. alpha-ketoglutarate dehydrogenase c. citrate synthase d. malate dehydrogenase 5. Which enzyme catalyzes a hydration reaction? a. aconitase b. fumarasec. citrate synthase given that sin x equals to a over b then what is tan x the mean monthly income of trainees at a local mill is 1100 with a standard deviation of 150. find rthe probability that a trainee earns less than 900 a month g Fernando Designs is considering a project that has the following cash flows and WACC data. What is the project's discounted payback period? (6 points) What is the projects modified internal rate of return? The price of a particular model car is $13,857 today and rises with time at a constant rate of $1203 per year. How much will a new car cost in 4.7 years? Your program will read in an existing text file. You want the program to terminate if the file does not exist. Which of the following indicates the correct code for the main method header? public static void main(String[] args) throws FileNotFoundException public static void main(String[] args) throws UnknownFileException public static void main(String[] args) public static void main(String[] args) throws FileMissingException