B C F D E x Six vectors (A to F) have the magnitudes and directions indicated in the figure. (Figure 1) Part A Which two vectors, when added, will have the largest (positive) x component? Part B Which two vectors, when added, will have the largest (positive) y component? Part C Which two vectors, when subtracted (i.e., when one vector is subtracted from other), will have the largest magnitude?

Question

﻿  B C F D E x Six vectors (A to F) have the magnitudes and directions indicated in the figure. (Figure 1) Part A Which two vectors, when added, will have the largest (positive) x component? Part B Which two vectors, when added, will have the largest (positive) y component? Part C Which two vectors, when subtracted (i.e., when one vector is subtracted from other), will have the largest magnitude?

Anu Bhardwaj · Accepted Answer

Item 1 (Vectors)

Part A — largest positive x-component (sum):
C and A.

Part B — largest positive y-component (sum):
F and C.

Part C — largest magnitude when subtracted:
C and B (subtracting one from the other gives the greatest separation in direction/magnitude).

Item 2 (Road grade)

Grade $=6\%\Rightarrow an heta=0.06$
$heta=\arctan(0.06)\approx 3.4^\circ$ .
Answer (1 s.f.): $3^\circ$ .

Item 3 (Lightning delay)

Time to thunder $t=6.5\ ext{s}$ ,

speed of sound $\approx 340 m/s.$ Distance $d=vt=340 imes 6.5\approx 2.21 imes 10^3\ ext{m}$ .
Answer (2 s.f.): $2.2 imes 10^3\ ext{m}$ (≈ 2.2 km).

Physics

Physics

Anu Bhardwaj

Answer

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