A force of 650N is acting upwards and a force of 850N is acting downwards along the same line,state the magnitude and direction of the resultant force and the equilibrant force
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-200N downwords (resultant force)
To determine the magnitude and direction of the resultant force and the equilibrant force, you can use vector addition.
1. Resultant Force:
- Start by assigning the upward force a positive value and the downward force a negative value since they act in opposite directions.
- The magnitude of the resultant force is the absolute value of the sum of the two forces: |650N + (-850N)| = |(-200N)| = 200N.
- Since the negative force is larger in magnitude, the resultant force will have the same direction as the larger force, which is downwards.
Therefore, the magnitude of the resultant force is 200N, and its direction is downwards.
2. Equilibrant Force:
- The equilibrant force is defined as a force that can exactly balance out the resultant force, thereby resulting in a net force of zero.
- It is equal in magnitude but opposite in direction to the resultant force.
- Thus, the magnitude of the equilibrant force is also 200N, but its direction is upwards since it acts in the opposite direction to the resultant force.
Therefore, the magnitude of the equilibrant force is 200N, and its direction is upwards.