A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0°
south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?
Let's say A is the displacement vector which represents the first 170km and B the one for the next 230km. Then the components of these vector will be:
The vector which point from the origin to the final position of the plane will be R=A+B. We sum components on <em>x </em>and <em>y </em>independetly (vector property):
If is the direction of R then:
⇒ ⇒ .
The distance will be given by the magnitud of the vector R:
If there isn't the shorting mechanism, the whole set will be blown if anyhow one lamp burns out. Since having blown out several lamps and then shorted, the overall resistance of the remaining operating lamps will be decreased resulting in an increased working current that is adequate to blast the fuse.
Well if the wire has an insane length or is made out of a high resistance material. But, you're probably looking for a resistor : R = U / I ; R = 20V / 0.25A