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Alik [6]
3 years ago
15

The displacement vector from your house to the library is 520 m long, pointing 40 ∘ north of east.What are the x-component (x-ax

is is directed from west to east) of this displacement vector?What are the y-component (y-axis is directed from south to north) of this displacement vector?
Physics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

398.3 m, 334.2 m

Explanation:

The magnitude of the displacement vector is

v = 520 m

And its direction is

\theta=40^{\circ}

measured as north of east.

The x-component of this vector is given by:

v_x = v_0 cos \theta = (520)cos 40^{\circ}=398.3 m

While the y-component is given by

v_y = v_0 sin \theta =(520)sin 40^{\circ}=334.2 m

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