The sum of magnitude of two vectors is 16
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the sum of two forces acting at a point is 16 Newton if the resultant force is 8 Newton and its direction is perpendicular to minimum force then the force
Asked by admin @ in Physics viewed by 327 People
the sum of two forces acting at a point is 16 Newton if the resultant force is 8 Newton and its direction is perpendicular to minimum force then the force
Answered by admin @
Answer:
Explanation:
Let the magnitude of smaller force be x Newton. So, the magnitude of larger force be (16 - x) Newton, as their sum is 16 N.
And it is given that, the resultant force is 8N which is perpendicular to smaller force, i.e., x Newton,
so we can write it as;
(16 - x)² = x² + 8²
⇒ (16)² + (x)² - 2 * 16 * x = x² + 64
⇒ 256 - 32x = 64
⇒ 32x = 256 - 64
⇒ 32x = 192
⇒ x =
⇒ x = 6
_______________________
Therefore,
The magnitude of small force = x = 6 N
And, the magnitude if larger force is given by, (16 - x) = (16 - 6) = 10N.
Hence, the smaller force is 6N and the larger force is 10N.
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