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Savatey [412]
2 years ago
11

Lindsay is planning a flight from St. Catharines to Hamilton, which lies due west of St. Catharines. Her aircraft flies at a spe

ed of 200 km/h in still air.A wind of 50.0 km/h is blowing from [W 608 N]. In what direction must sheaim the airplane to fly directly to Hamilton?
Physics
2 answers:
olga nikolaevna [1]2 years ago
7 0

Lindsay has to fly this plane towards this direction [W 12.5° S] to get to Hamilton.

From this question, the plane is still up in the air.

We have wind blowing in [W 60° N ]

To solve the problem we have to make use of the sine rule

\frac{SinA}{a}=\frac{SinB}{b} =\frac{SinC}{c}

We put the values in the equation, we have:

50/Sinθ = 200/sin60°

The next step is to cross multiply

50 x sin60° = 200Sinθ

50 x 0.8660 = 200sinθ

We make Sin θ the subject

Sine θ = 43.30/200

sine θ = 0.2165

we find the value of θ

θ = sine⁻¹(0.2165)

θ = 12.50

So Lindsay has to fly this plane towards this direction

[W 12.5° S]

Here is a similar question brainly.com/question/13338067?referrer=searchResults

g100num [7]2 years ago
6 0

Answer:

Lindsay is planning a flight from St. Catherines to Hamilton, which lies due west of St. Catharines. Her aircraft flies at a speed of 200 km/h in still air. A wind of 50.0 km/h is blowing from [W 60.0� N]. In what direction must she aim the airplane to fly directly to Hamilton?

------------

It's a triangle problem.

The long side is the 200 km/hr, at an angle to be determined.

-----

1 side is 50 km/hr at an angle of -60 degs or 300 degs.

The 3rd side's length is not known, but it's at an angle of 180 degs (along the x-axis).

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Then, you replace and obtain:

\vec{r}=(6\frac{m}{s})t\ \ \hat{i}

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An object falls from a high building and hits the ground in 8.0 seconds. Ignoring air resistance, what is the distance that it f
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310 meters

Explanation:

Given:

v₀ = 0 m/s

t = 8.0 s

a = -9.8 m/s²

Find: Δy

Δy = v₀ t + ½ at²

Δy = (0 m/s) (8.0 s) + ½ (-9.8 m/s²) (8.0 s)²

Δy = -313.6

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3 years ago
A damped mass/spring system takes 14.0 s for its amplitude of the oscillator to decrease by a factor of 9. By what factor does t
fiasKO [112]

Answer:

The correct answer is "0.246".

Explanation:

Given that the amplitude is decreased by a factor of 9, then

A \rightarrow (A-\frac{A}{9} )

A \rightarrow \frac{8A}{9}

As we know,

Energy will be:

⇒  E_{1}=\frac{1}{2}KA^2

and,

⇒  E_{2}=\frac{1}{2}K(\frac{8A}{9} )^2

          =\frac{64KA^2}{162}

⇒  \Delta E=E_1-E_2

On putting the estimated values, we get

           =\frac{1}{2}KA^2-\frac{64KA^2}{162}

⇒  \frac{\Delta E}{E}=\frac{\frac{20}{162}KA^2}{\frac{1}{2}KA^2}

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