An eagle has a forward force due to its wings at 6N the drag force is 4N backwards and it's lift force is 20 N upward what is th
e net force of the bird?
1 answer:
Answer:
20.1 N at 84°
Step-by-step explanation:
The forward force is 6 N and the drag force is 4 N, giving a net forward force of 2 N.
To this, we add the upward force of 20 N.
The upward and the forward forces are at right angles to each other, so we can use the Pythagorean theorem to determine the resultant (i.e., the hypotenuse of the right triangle).
R² = 2² + 20² = 4 + 400 = 404
R = √404 ≈ 20.1 N
tanθ = 20/2 = 10
θ = arctan10 ≈ 84°
The net force is 20.1 N at an angle of 84°.
The angle is only 6° from the vertical, so the eagle is going almost straight up.
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Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
Solve for <em>x</em>. Therefore:
Our answer is D.
The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
