Two concurrent forces have a maximum resultant of 45N and minimum resultant of 5N. What is the magnitude of each of these?
Correct answer: C. 20N,25N
- A. 0.45N
- B. 5N,9N
- C. 20N,25N
- D. 0N,45N
Explanation
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 Therefore, the answer is option C: 20N and 25N, as they give the maximum resultant of 45N and fall within the range of values required by the problem.
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