How do you add this vector graphically
1 answer:
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Answer:
If the canoe heads upstream the speed is zero. And directly across the river is 8.48 [km/h] towards southeast
Explanation:
When the canoe moves upstream, it is moving in the opposite direction of the normal river current. Since the velocities are vector (magnitude and direction) we can sum each vector:
Vr = velocity of the river = 6[km/h}
Vc = velocity of the canoe = -6 [km/h]
We take the direction of the river as positive, therefore other velocity in the opposite direction will be negative.
Vt = Vr + Vc = 6 - 6 = 0 [km/h]
For the second question, we need to make a sketch of the canoe and we are watching this movement at a high elevation. So let's say that the canoe is located in point 0 where it is located one of the river's borders.
So we are having one movement to the right (x-direction). And the movement of the river to the south ( - y-direction).
Since the velocities are vector we can sum each vector, so using the Pythagoras theorem we have:
Answer:
The inductor contains loops
Explanation:
From the question we are told that
The capacitance of the capacitor is
The resonance frequency is
The diameter is
The of the air-core inductor is
The permeability of free space is
Generally the inductance of this air-core inductor is mathematically represented as
This inductance can also be mathematically represented as
Where is the angular speed mathematically given as
So
Now equating the both formulas for inductance
making N the subject of the formula
Substituting value
loops
Answer:
Explanation:
Given that:
Electrical field E =
square side l = 5.0 m
Area A = 5.0 * 5.0
= 25.0 m²
Angle ( θ ) between area vector and E = (90° - 60°)
= 30°
The flux can now be determined by using the expression
=
=
=
=