Two force 8N and 6N acting perpendicularly to each other determine the resultant force and the equilibrium force that will balance the system

To determine the resultant force, we can use the Pythagorean theorem since the two forces are acting perpendicular to each other. The resultant force (F) can be calculated as:

F = sqrt(8^2 + 6^2)
F = sqrt(64 + 36)
F = sqrt(100)
F = 10 N

So the resultant force is 10N.

To determine the equilibrium force, we need to find a force that will balance the system. Since the two given forces are perpendicular to each other, an equilibrium force would be a force that is equal in magnitude but opposite in direction to the resultant force.

Therefore, the equilibrium force would need to be -10N, which means it is acting in the opposite direction to the resultant force and has a magnitude of 10N.