The actual velocity of the airplane is 10 m/s at 53.1 degrees north of west
Explanation:
The actual velocity of the airplane can be found using Pythagorean's theorem: in fact, the velocity of the airplane and the velocity of the wind are perpendicular to each other, so they form the sides of a right triangle, of which the hypothenuse corresponds to the actual velocity.
We have:
- Velocity of the airplane: 6 m/s west
- Velocity of the wind: 8 m/s north
Therefore, applying Pytagorean's theorem, the magnitude of the actual velocity of the plane is:
The direction of the airplane instead can be found by using:
And the direction is north of west.
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Answer:
Here we need to make parallel connection of two 80 ohm resistors to achieve 40 ohm net resistance.
Explanation:
As we know that the resistances in series add up directly and here we are given with only the resistors of 80 Ω.
So when we connect two resistors of 80 ohm in parallel we get the resultant of 40 ohm.
Mathematically:
gives us the only combination of two resistors in parallel.
The velocity of a satellite describing a circular orbit is <u>constant</u> and defined by the following expression:
(1)
Where:
is the gravity constant
the mass of the massive body around which the satellite is orbiting
the radius of the orbit (measured from the center of the planet to the satellite).
Note this orbital speed, as well as orbital period, does not depend on the mass of the satellite. I<u>t depends on the mass of the massive body.</u>
In addition, this orbital speed is constant because at all times <u>both the kinetic energy and the potential remain constant</u> in a circular (closed) orbit.