A figure shows two forces acting on an object. They have magnitudes F1 = 6.3 N and F2 = 2.1 N. What third force will cause the object to be in equilibrium?
It will depend upon the directions of the forces F1 and F2. Add them as vectors and then reverse the direction of the resultant. That will the vector that causes equilibrium.
It is called the equilibrant vector
To find the third force that will cause the object to be in equilibrium, we need to consider the following:
1. Equilibrium condition: For an object to be in equilibrium, the sum of all the forces acting on it must be zero.
2. Given forces: F1 = 6.3 N and F2 = 2.1 N.
3. Third force: Let's assume that the third force is F3.
Based on the equilibrium condition, we can set up the equation:
F1 + F2 + F3 = 0
Substituting the given values:
6.3 N + 2.1 N + F3 = 0
Simplifying the equation:
8.4 N + F3 = 0
To find the value of F3, we can rearrange the equation:
F3 = -8.4 N
Therefore, the magnitude of the third force required to cause the object to be in equilibrium is 8.4 N, and its direction is opposite to the sum of F1 and F2.
To find the third force that will cause the object to be in equilibrium, we need to consider the vector sum of the two given forces.
Given that F1 has a magnitude of 6.3 N and F2 has a magnitude of 2.1 N, we can represent these forces as vectors:
F1 = 6.3 N (pointing in a certain direction)
F2 = 2.1 N (pointing in another direction)
For the object to be in equilibrium, the vector sum of the forces must be zero. Mathematically, this can be represented as:
F1 + F2 + F3 = 0
Where F3 is the magnitude and direction of the third force.
To find F3, we can rearrange the equation:
F3 = - (F1 + F2)
Substituting the values of F1 and F2, we have:
F3 = - (6.3 N + 2.1 N)
Simplifying the equation, we get:
F3 = - 8.4 N
Therefore, the magnitude of the third force that will cause the object to be in equilibrium is 8.4 N. The negative sign indicates that the force acts in the opposite direction of the vector sum of F1 and F2.