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`

Step-by-step 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.