How Do You Calculate the Forces Exerted by Each Lifeguard on a Raft?

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To calculate the forces exerted by each lifeguard on a raft, consider two scenarios: when both pull in the same direction, resulting in a net force of 304 N to the right, and when they pull in opposite directions, yielding a net force of 115 N to the left. The larger force can be determined by adding the net force from the first scenario to the net force from the second scenario, while the smaller force can be found by subtracting the net force of the second scenario from the larger force. A force diagram can help visualize the forces acting on the raft. This approach allows for a clearer understanding of the forces exerted by each lifeguard.
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please help with this exerted force 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 304 N to the right. If they pull in opposite directions, the raft experiences a net external force of 115 N to the left.


Find the force exerted by each lifeguard on the raft. (Disregard any other forces acting on the raft.)
____N( larger force)
____N( smaller force)




i know this has something to do with F1 and F2, but i don't know what to do with them
 
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snash1057 said:
i know this has something to do with F1 and F2, but i don't know what to do with them
Try drawing a force diagram for the raft.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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