# Question Video: Force Required to Balance Two Other Forces

Two forces πβ = (82.6/β3) (π’ β π£) N and πβ = (177.2/β3) (π’ β π£) N act on an object. What force must be added to πβ and πβ to produce a net force of zero?

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### Video Transcript

Two forces π one equals 82.6 over root three π minus π newtons and π two equals 177.2 over root three π minus π newtons act on an object. What force must be added to π one and π two to produce a net force of zero?

We can name the force that we want to solve for to make all the forces add up to zero together π three. When we consider π three, π one, and π two, weβre specifically designing π three so that their sum is equal to zero. That is, that the object is subjected to a balanced force. This means that π three is equal to negative the sum of π one and π two, both of which are given in our problem statement. If we write out π one and π two as theyβre given to us and then add these two forces together, their sum is 259.8 over root three π minus π newtons. Since π three must equal the negative of that, π three is negative 259.8 over root three π minus π newtons. Thatβs the force which added to π one and π two will produce a net force of zero.