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maximum resultant: 45 = a + b

minimum resultant: 5 = a - b

Solve for a in the first equation then substitute it into the second equation:

a = 45 - b

5 = 45 - b -b

5 - 45 = -2b

-40 = -2b

20 = b

Since we know the value for b we can substitute it into the first equation to find the value for a:

45 = a + 20

45 - 20 = a

25 = a

So the magnitude of each of these forces are 20N, 25N.

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12y ago

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