Chapter SH, Problem 3.3APP

To determine

To Calculate: The net force applied to the rope.

Answer to Problem 3.3APP

  $3000\text{N}$

Explanation of Solution

Given:

Force exerted by team A, $F_1=5000\text{N}$

Force exerted by team B, $F_2=-8000\text{N}$ (opposite to A)

Formula Used:

From Newton’s second law of motion, the net force would be:

  ${\displaystyle \sum F=ma}$

Here, m is the mass and a is the acceleration.

Calculations:

The net force on the rope would be the sum of the forces:

  $\begin{array}{l}{F}_{net}=F_1+F_2\\ F_{net}=5000\text{N}-8000\text{N}\\ F_{net}=-3000\text{N}\end{array}$

Here, negative force indicates that the net force acts in the opposite direction of the force exerted by team A.

Conclusion:

Thus, the net force on the rope is $3000\text{N}$ in the direction of team B.