# Chapter 1 - Introduction and Mathematical Concepts - Problems: 24

200 N, 600 N

#### Work Step by Step

If the second force points due east, both forces point in the same direction and the magnitude of resultant force will be: $F_{1}+F_{2}=F_{R}$ So: $F_{2}=F_{R}-F_{1}=400 N-200N=200N$ If the second force points due west, both forces point in the opposite direction and the magnitude of resultant force will be: $F_{2}-F_{1}=F_{R}$ So, $F_{2}=F_{R}+F_{1}=400 N+200N=600N$

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