Question

the vector sum of forces of 12N & 8N will be​

Answer 1

Answer:

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Explanation:

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Answer 2

Given: The forces of 12 N & 8 N.

To find: The vector sum of forces of 12 N & 8 N.

Solution:

Two or more vectors may be added mathematically by using the following laws of vector addition: Triangle Law of vector addition and Parallelogram law of vector addition. According to both these laws, the resultant of the two vectors can be given by the following formula.

$R = \sqrt{A^{2} + B^{2} + 2AB cos \theta}$

The value of θ would be zero if both the forces are acting in the same direction. So, the value of cos θ would be 1. Now, the resultant is calculated as,

$R = \sqrt{(12)^{2} + (8)^{2} + 2(12)(8) (1)}$

   $= \sqrt{400}$

   $= 20 N$

Therefore, the vector sum of forces of 12 N & 8 N is 20 N.