Question

Two lifeguards pull on ropes attached to a raft. If they pull in the same direction, the raft experiences a net external force of 300 N to the right. If they pull in opposite directions, the raft experiences a net external force of 115 N to the left.

Answer 1

$F_1=207.5\ N$

$F_2=92.5\ N$    

Explanation:

Let $F_1\ and\ F_2$ is the two forces acting on the raft. If they pull in the same direction, the net force is given by :

$F_1+F_2=300$...............(1)

If they pull in opposite direction, net force is given by :

$F_1-F_2=115$...............(2)

It is required to find the magnitude of both forces. On solving equation (1) and (2) we get :

$F_1+F_2=300$

$F_1-F_2=115$

$F_1=207.5\ N$

$F_2=92.5\ N$          

So, the forces are 207.5 N and 92.5 N. Hence, this is the required solution.