Question

The greatest and the least resultant of two forces acting at a point are 29N and 5N respectively. if each force is increased by 3N find the resultant of two new forces acting at right angle to each other.​

Answer 1

The greatest net of two forces can be when the two forces are in the same direction, that is,

F1 + F2 = 29N

The least resultant of two forces happens when two forces act in opposite direction, that is,

F1-F2 = 5N

Now

F1+F2 = 29N

F1-F2 = 5N

__________

2F1 = 24N

F1 = 12N and F2 = 7N

According to question,

New F1 = 12N+3N = 15N

New F2 = 10N

Net force when the forces are acting perpendicularly,

Net force = √(15²+10²) =√(225+100) = √325N = 18.02N

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