Three forces acting concurrently on an object are in equilibrium. One is a 5.0-newton force due north and another is a 2.0-newton force due south. Which of the following options is the third force?A 7.0 N, northB 7.0 N, southC 3.0 N, southD 3.0 N, north
Question
Three forces acting concurrently on an object are in equilibrium. One is a 5.0-newton force due north and another is a 2.0-newton force due south. Which of the following options is the third force?A 7.0 N, northB 7.0 N, southC 3.0 N, southD 3.0 N, north
Solution
The forces are in equilibrium, which means the sum of all forces equals zero.
We have a 5.0-newton force going north and a 2.0-newton force going south.
The net force currently is 5.0N (north) - 2.0N (south) = 3.0N (north).
To achieve equilibrium, we need a force that will cancel out this 3.0N (north).
Therefore, the third force must be 3.0N, south (Option C).
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