If the resultant of two forces is 25 N such that one force is root 5N and the angle between - Physics - Laws Of Motion

Question

If the resultant of two forces is 25 N such that one force is root
5N and the angle between the two forces is 60?, then the value of
the other force will be?

Sanat K Mukherjee · Accepted Answer

Solution,
Let the unknown force be F
Then
â€‹â€‹â€‹â€‹â€‹the
resultant of the forces will be given as:
F2+52+2×F×5cos60=25F2+52+2×F×5cos60=25×25F2+5+5F=625F2+5F-620=0F=-5±5+4×1×6202=-5±49
842=2 24±49 842=26
04N (taking only positive values)

If the resultant of two forces is 25 N such that one force is root 5N and the angle between the two forces is 60?, then the value of the other force will be?