Two people each pull with 300 N on a rope in a tug of war. What is the net force on the rope? How much force is exerted on each person by the rope?

ANSWER: STEP 1:- As two of them are pulling the rope in opposite direction, the forces we can add directly. Our signs will take care of everything, as it’s an one dimensional problem. The forces are, F 1 300 N F2= 300 N . The net force on the rope is, F1+ F 2 300 + ( 300) = 0 The two forces exactly cancel each other, so the net force is zero. STEP 2:- Because of the pulling, the rope gets stretched due to tension. The tension force is also same in magnitude but opposite in direction. So, the force on one person by the rope is, F rope T = 300 N . So, the rope pulls each person with a force of 300 N.