Case 1, Vector addition 1: [ F1 = (0.200)kg, ?1=30o) ;( F2 = (0.200)kg, ?2=120o)

Question

Case 1, Vector addition 1: [ F1 = (0.200)kg, ?1=30o) ;( F2 = (0.200)kg, ?2=120o) ]



Introduction:
Vectorsubtraction (A-B) is aspecial case of vectoraddition,
since A-B = A + (-B). Suppose that hte casesof vector addition 1, 2, and 3 in this experiment were vectorsubtraction (F1-F2).

Question 1:
a)What effect would this have on the directions of the resultants?(Do not calculate explicity. Simply state in which quadrant the resultant would be in each case.)

b)Would the magnitude of the resultant be different for vectorsubtraction than for vector addition in each case? If so, state whether the substractive resultant would be greater or less thanthe additive resultant.

Explanation / Answer

a) F1 = 0.17 i + 0.1 j F2 = -0.1 i + 0.17 j Fnet = - 0.07 i + 0.27 j magnitude = 0.278 in 2nd quadrant 75.46 degrees with - x axis substractive resultant would be greater or less thanthe additive resultant it depends on F1 and F2

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