Physics · Scalars and Vectors
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Tvvo forces, one of magnitude 6N and other of magnitude 8N acts on a body perpendicular to each other. Find the resultant force
- A
14N
- B
10N
- C
2N
- D
100N
To find the resultant force when two forces act perpendicular to each other, use the Pythagorean theorem: Resultant = sqrt((6N)^2 + (8N)^2) = sqrt(36 + 64) = sqrt(100) = 10N. Therefore, the correct answer is 10N. Option A (14N) would be the result if forces were added directly without considering their directions. Option C (2N) does not account for the actual magnitudes in a meaningful way. Option D (100N) is vastly overestimated, possibly due to incorrect squaring or arithmetic.
This option assumes a simple sum of the forces, which is incorrect as they are perpendicular.
This is correct. Use the Pythagorean theorem: Resultant = sqrt((6N)^2 + (8N)^2) = 10N.
This option is much smaller than any of the forces involved and results from a misunderstanding of vector addition.
This option is far too large, likely due to incorrect multiplication or calculation.
Tagged under Physics · Scalars and Vectors · 2009