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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.

Respuesta :

[tex]F_1=207.5\ N[/tex]

[tex]F_2=92.5\ N[/tex]    

Explanation:

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

[tex]F_1+F_2=300[/tex]...............(1)

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

[tex]F_1-F_2=115[/tex]...............(2)

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

[tex]F_1+F_2=300[/tex]

[tex]F_1-F_2=115[/tex]

[tex]F_1=207.5\ N[/tex]

[tex]F_2=92.5\ N[/tex]          

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

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