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skyemichellec
01.10.2019 •
Physics
Consider the following four force vectors: f1 = 50 newtons, due east f2 = 10 newtons, due east f3 = 40 newtons, due west f4 = 30 newtons, due west which two vectors add together to give a resultant with the smallest magnitude, and which two vectors add to give a resultant with the largest magnitude? in each case specify the magnitude and direction of the
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Ответ:
F3 + F4 has the highest magnitude = 70 newtons west
and F1 + F3 has the lowest magnitude = 10 newtons east
Explanation:
F1 = 50 newtons, due east
F2 = 10 newtons, due east
F3 = 40 newtons, due west
F4 = 30 newtons, due west
Let us consider East as negative and west as positive, so
F1 = -50 newtons
F2 = -10 newtons
F3 = 40 newtons
F4 = 30 newtons
F3 + F4 = 40 + 30 = 70 newtons
F1 + F2 = -50 - 10 = -60 newtons
F1 + F3 = -50 + 40 = 10 newtons
F1 + F4 = -50 + 30 = -20 newtons
F2 + F3 = -10 + 40 = -30 newtons
F2 + F4 = -10 + 30 = 20 newtons
It can be seen that F3 + F4 has the highest magnitude = 70 newtons west
and F1 + F3 has the lowest magnitude = 10 newtons east
Ответ: