Forces of 20 N to the south, 40 N to the northeast, and 10 N to the east act on an object. The magnitude of the resultant force on the object is
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Fr= 39 N
Fr = 20N[270o] + 40N[45o] + 10[0o] =
-20i + 40*cs45) + i40*sin45) + 10 =
-20i + 28.28 + 28.28i + 10=38.28 + 8.28i
Fr^2 = 38.28^2 + 8.28^2 = 1533.9
Fr =39 N.
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