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.
This question appeared on the ETEA MDCAT 2009 paper, which you can sit online with every answer explained.
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