Two forces of 5N and 7N respectively act on an object when will the resultant of the two vectors be at maximum
Hmmm. What happens when they are aligned in the same direction>
To determine when the resultant of the two forces will be at its maximum, we need to consider the concept of vector addition.
When two forces act on an object, their resultant is the vector sum of the individual forces. The resultant can be determined by adding the forces together using vector addition.
In this case, we have two forces acting on an object with magnitudes of 5N and 7N. Let's consider these forces as vectors, F1 and F2.
To perform vector addition, we need to add the two vectors together. This is done by placing the tail of the second vector at the tip of the first vector. The resultant vector connects the tail of the first vector to the tip of the second vector.
The magnitude of the resultant vector can be found using the Pythagorean theorem. The magnitude (R) of the resultant vector is given by the formula: R = sqrt(F1^2 + F2^2). Here, F1 represents the magnitude of the first force (5N) and F2 represents the magnitude of the second force (7N).
To find the maximum resultant, we need to find the maximum value of R. Using the formula, we can calculate the magnitude of the resultant for various combinations of F1 and F2.
By substituting the magnitudes into the formula, we get R = sqrt((5N)^2 + (7N)^2) = sqrt(25N^2 + 49N^2) = sqrt(74N^2) = 8.60N.
Therefore, the maximum resultant of the two forces will occur when their magnitudes are 5N and 7N, respectively, resulting in a resultant magnitude of 8.60N.