A plane is flying to Minnesota with a velocity of 277.73 km/h, N. The plane
encounters a crosswind with a velocity of 71.97 km/h, W. What is the magnitude of
the resultant velocity of the plane? (Answer in km/h)

Answers

Answer 1

Answer:

466 km/h

255°

measured anticlockwise from the east direction

Explanation:

find the resultant velocity of a plane after a crosswind affects its motion. take the positive

x -direction as east, and the positive y -direction as north. The components of the plane's velocity (without wind) are

upx = 0upy =  450 Km/ h

And for the wind.

uwx = - 120 Km/huwy = 0

The components for the resultant velocity of the plane are given by

ux =upx + uwx = 0 - 120 Km/h =  - 120 Km/huy = upy + uwy  = - 450 Km/h +0 = - 450 Km/h

The magnitude of the resultant velocity is

[tex]\sqrt{(vx)^2+(vy)^2} =\sqrt{(-120lkm/h^2+(-450lkm/h)^2}[/tex]

= 466 km/h

Hope this helps u : )


Related Questions

You push a box along the floor against a constant force of friction. When you push with a horizontal force of 75 N, the acceleration of the box is 0.75 m/2. If the mass of the box is 10 kg. find the coefficient of kinetic friction between the box and the floor.

Answers

The coefficient of kinetic friction between the box and the floor,  μ = 0.1 m/2.

Equation :

To find out the coefficient of kinetic friction between the box and the floor we will the formula,

μ = F/N

where,

F is friction force

N is normal force

So by question given is mass and acceleration we have to calculate friction force,

So to find F we use,

F = ma

F = 10 x 0.75 m/2

F = 7.5 m/2

By using formula of coefficient of kinetic friction,

μ = F/N

μ = 7.5 / 75

μ = 0.1 m/2

Coefficient of kinetic friction :

The kinetic friction coefficient (F) is the ratio of the kinetic friction force (F) between both the surfaces in contact during motion to the normal force Ff/N. The static and kinetic coefficients of friction are both affected by the surfaces in contact. Their values are determined through experimentation.

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15. Imagine that the true speed of a car traveling on a road is 70 km/h. With a radar
gun, we determine the speed of the car five times. Which of the following
measurements represents the most accurate data set?
a. 70, 75, 78, 77, 80
b. 72, 72, 70, 68, 68
73, 73, 73, 73, 73
d. 70, 69, 70, 70, 118

Answers

The measurement that represents the most accurate data set is second measurement (b. 72, 72, 70, 68, 68).

Average speed of the car in each data set

The average speed of each car in the given data set is calculated as follows;

Average speed of the car in the first data set

v(avg) = (70 + 75 + 78 + 77 + 80) / 5

v(avg) = 76 km/h

Average speed of the car in the second data set

v(avg) = (72 + 72 + 70 + 68 + 68) / 5

v(avg) = 70 km/h

Average speed of the car in the third data set

v(avg) = (73 + 73 + 73 + 73 + 73) / 5

v(avg) = 73 km/h

Average speed of the car in the fourth data set

v(avg) = (70 + 69 + 70 + 70 + 118) / 5

v(avg) = 79.4 km/h

Thus, the measurement that represents the most accurate data set is second measurement (b. 72, 72, 70, 68, 68).

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If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Answers

The volume has changed by a factor of 4/3

What is Volume of a Box ?

The volume a box will be the product of its length, width and height. The S.I unit is cubic meter (m³)

If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Initial volume = LBH

The new length = L/3The new width = 2BThe new height = 2H

The new volume = L/3 × 2B × 2H

The new volume = 4/3 × LBH

Therefore, the volume has changed by a factor of 4/3

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1- What does it mean that matter has mass and occupies space?

2- What kind of forces are responsible for the states of aggregation of matter

Answers

Matter is the substance which have some mass and can occupy space is well.

What does it mean that matter has mass and occupies space?

Matter is any substance which has mass and occupy some space by having the volume. All physical things are made up of matter and an easily observed property of matter is its state or phase. There are three states of matter Solid, Liquid and Gas. These three matter are responsible for the production of things. The matter can occupy the space but the same matter can not occupy the same space.

Which two types of forces are responsible for state of matter?

The state of a substance directly depends on the balance between kinetic energy of the individual particles and the intermolecular forces between them. If forces are strong, state of matter changes into solid and liquid.

So we can conclude that matter is the substance which have some mass and can occupy space is well.

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a bicyclist, travels with a constant speed of 8.00m/s for 4.80s determine all unknowns

Answers

The distance of the bicyclist, travels with a constant speed is 38.4 meter.

Distance - It is the total path travelled.

Its unit are meter, kilometer, miles etc

Time - A period during which an action take place.

Its unit are second, minutes, hour etc

speed - It tells about how fast and slow an object moves.

describes distance covered in a given interval of time.

Its unit are m/s , km/hr etc

To calculate distance of a bicyclist covered we use

Distance = speed x time

               = 8.00m/s x 4.80s

               = 38.4m

The distance of the bicyclist, travels with a constant speed is 38.4 meter.

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Finding the density without having the mass having only volume

Answers

.............................................

68. What is the trend of atomic size
on the periodic table?

Answers

Answer:

slowly decreases from left to right over the duration of the element.

Design an experiment to test whether talking on a cell phone influences people’s driving skills. Be sure to specify your experimental hypothesis and identify your dependent and independent variables, as well as your experimental and control conditions. Also, include the procedure that should be used to assign participants to conditions and discuss why this procedure should be used.

Answers

in this experiment selected random people from various age groups and set a certain common rules of driving as judgmental rules and gave a call when they are in drive to check their skills.

When testing a theory, controlled conditions are crucial. When the independent variable in an experiment design is not changed or altered, this is known as a control condition. Because it maintains the driving circumstances uniform, a control condition is essential to this experiment's success in determining if smartphone use affects one's ability to drive. This would enable the only distinction between the test subjects to be the drivers' use of cell phones. Making ensuring the subjects are all travelling the same route and experiencing the same circumstances could serve as the controlled conditions for this experiment. This might be on a closed course where every subject has the same path. All individuals could use the same vehicle as additional controllers.

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the position versus time for a certain object moving along the x axis is shown. the objects initial position is -4m. Find the instantaneous velocity at 7s. Answer in units of m/s.

Answers

The instantaneous velocity at 7s is 1.71 m/sec.

Equation :

To know the velocity of the position difference,

Use the formula,

speed = distance / time

Given,

distance 1 = -4m

distance 2 = 8m

time = 7s

v = ?

Putting values,

v = Δs/Δt

v = d₂ - d₁ / t

v =  8 - (-4) / 7sec

v =  12m / 7sec

v =  1.71 m/sec

Velocity :

The velocity of a body or object determines the direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is rate of change in distance. The displacement change rate is the issue.

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What does density show? Explain.​

Answers

Answer:

What is Density? The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.

Explanation:

Answer:

 The density of material shows the denseness of that material in a specific given area. A material's density is defined as its mass per unit volume. Density is essentially a measurement of how tightly matter is packed together.

I need help answering number 14. My teacher never explained it properly so it’s kinda difficult.

Thank you!!!

Answers

In scientific notation, the correct format is a x 10ᵇ, where an is an integer or decimal number whose absolute value is more than or equal to one and less than ten, or 1 ≤ |a| ≤ 10. In order for the scientific notation to be mathematically identical to the original number, b must be a power of 10.

For (a),

1 / 0.00032 = ( 1 / 32 × 10⁻⁵ )

1 / 0.00032 = 10⁵ / 32

1 / 0.00032 = 0.03125 × 10⁵

1 / 0.00032 = 3.125 × 10

(b) 10³ / 10⁻³

10³ / 10⁻³ = [ 10³ / (1 / 10³) ]

10³ / 10⁻³ = 10³ × 10³

10³ / 10⁻³ = 1 × 10⁶

(c) 10³ / 10³

10³ / 10³ = 10³ × 10⁻³

10³ / 10³ = 10⁰

10³ / 10³ = 1 × 10⁰

(d) 1/55000

1/55000 = 1 / (55 × 10³)

1/55000 = 0.01818 × 10⁻³

1/55000 = 1.818 × 10⁻⁵

(e) (10⁵)(10⁴)(10⁻⁴) / 10⁻²

(10⁵)(10⁴)(10⁻⁴) / 10⁻² = ( 10⁵ ⁺ ⁴ ⁻ ⁴ ) / 10⁻²

(10⁵)(10⁴)(10⁻⁴) / 10⁻² = ( 10⁵ ) / (1/10²)

(10⁵)(10⁴)(10⁻⁴) / 10⁻² = ( 10⁵) × (10²)

(10⁵)(10⁴)(10⁻⁴) / 10⁻² = 10⁵ ⁺ ²

(10⁵)(10⁴)(10⁻⁴) / 10⁻² = 1 × 10⁷

(f) 43.2 / (4.32 × 10⁻⁵ )

43.2 / (4.32 × 10⁻⁵ ) = 43.2 / (4.32 × 10 × 10⁻⁶ )

43.2 / (4.32 × 10⁻⁵ ) = 43.2 / (43.2 × 10⁻⁶ )

43.2 / (4.32 × 10⁻⁵ ) = 1 / 10⁻⁶

43.2 / (4.32 × 10⁻⁵ ) = 1 / (1/10⁶)

43.2 / (4.32 × 10⁻⁵ ) = 1 × 10⁶

(g) (4.32 × 10⁻⁵ ) / 432

(4.32 × 10⁻⁵ ) / 432 = ( 432 × 10⁻² × 10⁻⁵ ) / 432

(4.32 × 10⁻⁵ ) / 432 = ( 10⁻² × 10⁻⁵ )

(4.32 × 10⁻⁵ ) / 432 = 10⁻²⁻⁵

(4.32 × 10⁻⁵ ) / 432 = 10⁻⁷ = 1 × 10⁻⁷

(h) 1 / (10⁵)(10⁻⁶)

1 / (10⁵)(10⁻⁶) = 1 / ( 10⁵⁻⁶ )

1 / (10⁵)(10⁻⁶) = 1 / 10⁻¹

1 / (10⁵)(10⁻⁶) = 1 / ( 1/10)

1 / (10⁵)(10⁻⁶) = 10

1 / (10⁵)(10⁻⁶) = 1 × 10¹

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1.Explain why "red hot" is not as hot as "blue hot"

Answers

Red hot is not as hot as blue hot because as the temperature increases the frequencies of light emitted becomes higher leading to emission of smaller wavelength lights.

All objects emits light, even at room temperature. But it cannot be seen with human eyes as the wavelength is too high. When heated the wavelength starts to decrease ( reaching the visible spectrum ) as high heat produce high frequency lights.

The wavelength of colour visible to human eyes starting from highest wavelength to lowest wavelength is as follows: Red, Orange, Yellow, Green, Cyan, Blue and violet.

Therefore, "Red hot" is not as hot as "blue hot"

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