Question

the person in orange pushes the box to the right with 50 n of applied force. with how much force does the person in purple need to push to the left to have the box move at a constant velocity?

Explanation:

Step1: Recall Newton's first law

When an object moves at a constant velocity, the net force acting on it is zero ($F_{net}=0$).

Step2: Set up the force equation

Let the force applied by the person in orange be $F_{orange} = 50N$ (to the right) and the force applied by the person in purple be $F_{purple}$ (to the left). Since $F_{net}=F_{orange}-F_{purple}=0$.

Step3: Solve for $F_{purple}$

From $F_{orange}-F_{purple}=0$, we can rearrange the equation to get $F_{purple}=F_{orange}$.

Answer:

$50N$