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marta [7]
3 years ago
6

An airplane is flying in a horizontal circle at a speed of 480 km/h (). If its wings are tilted at angle =40° to the horizontal

, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an "aerodynamic lift" that is perpendicular to the wing surface.
Physics
1 answer:
german3 years ago
6 0

Answer:

R = 2162 m

Explanation:

When wings of the airplane makes an angle of 40 degree with the horizontal so here we can say that force due to air is having two components

F_y = mg

F_x = \frac{mv^2}{R}

now we know that

F_y = F cos40

F_x = F sin40

also we know that

v = 480 km/h

v = 133.3 m/s

now plug in all data in above equations

tan 40 = \frac{v^2}{Rg}

R = \frac{v^2}{g tan40}

R = \frac{133.3^2}{9.8 tan40}

R = 2162 m

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The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 − 3t2 − 12t + 6 for t ≥ 0
avanturin [10]

Answer:

(a) v(t) = 6t^2 - 6t - 12, a(t) = 12t - 6

(b) When 0 \leq t < 0.5, object is slowing down, when t > 0.5 object is speeding up.

Explanation:

(a) To get the velocity function, we need to take the derivative of the position function.

v(t) = \frac{ds(t)}{dt}  = (2t^{3})^{'} - (3t^{2})^{'} - (12t)^{'} + 6^{'} = 6t^{2} - 6t - 12

To get the acceleration function, we need to take the derivative of the velocity function.

a(t) = \frac{dv(t)}{dt} = (6t^{2})^{'} - (6t)^{'} - (12)^{'} = 12t - 6

(b) The object is slowing down when velocity is decreasing by time (decelerating) hence a < 0

12t - 6 < 0 \\12t < 6 \\t < 0.5

On the other hand, object is speeding up when a > 0

12t - 6 > 0 \\12t > 6 \\t > 0.5

Therefore, when 0 \leq t < 0.5, object is slowing down, when t > 0.5 object is speeding up.

6 0
3 years ago
When light passes the
Leno4ka [110]

When light crosses the boundary between layers with different densities, the light is refracted. (A).

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3 years ago
A 1000.0 kg truck accelerates from 20.0 m/s to 25.0 m/s over a distance of 300.0 m. What is the average net force on the truck?
choli [55]

Answer:

The average net force on the truck is 375 Newtons.

Explanation:

Using Newton's 3rd equation of motion, we have :

v^{2} - u^{2} = 2×a×s

where, v = final velocity = 25 m/s

u = initial velocity = 20 m/s

a = acceleration

s = distance traveled = 300 m

Using these values in the above equation, we get acceleration = 0.375 m/s^{2}

Using Newton's second law, we have:

F=m×a

where m = mass = 1000 kg

a= acceleration = 0.375 m/s^{2}

Putting values we have F=375 N

3 0
3 years ago
An inventor claims to have invented a heat engine that receives 750kJ of heat from a source at 400K and produces 250kJ of net wo
IRISSAK [1]

Answer:

the claim is not valid or reasonable.

Explanation:

In order to test the claim we will find the maximum and actual efficiencies. maximum efficiency of a heat engine can be found as:

η(max) = 1 - T₁/T₂

where,

η(max) = maximum efficiency = ?

T₁ = Sink Temperature = 300 K

T₂ = Source Temperature = 400 K

Therefore,

η(max) = 1 - 300 K/400 K

η(max) = 0.25 = 25%

Now, we calculate the actual frequency of the engine:

η = W/Q

where,

W = Net Work = 250 KJ

Q = Heat Received = 750 KJ

Therefore,

η = 250 KJ/750 KJ

η = 0.333 = 33.3 %

η > η(max)

The actual efficiency of a heat engine can never be greater than its Carnot efficiency or the maximum efficiency.

<u>Therefore, the claim is not valid or reasonable.</u>

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3 years ago
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Artemon [7]

Explanation:

I'd love to but we cant talk right now cause its 12:22 am here and I'm gonna sleep now lol.

but let's follow each other.

who knows we might be able to help each other.

whaddya say?

have a good day ♡

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