A small boat is crossing a lake on a windy day. During some interval of time, the boat undergoes the given displacement Δ → r . Δr→. Δ → r = ( 3.11 m ) ^ ı + ( 2.69 m ) ^ ȷ Δr→=(3.11 m)ı^+(2.69 m)ȷ^ During the same interval of time, the wind exerts the given constant force → F F→ on the boat. → F = ( 263 N ) ^ ı − ( 131 N ) ^ ȷ F→=(263 N)ı^−(131 N)ȷ^ What is the total work done on the boat by the wind over this period of time?

The workdone is  

Explanation:

from the question we are told that

        The displacement of the boat is  

         The force exerted on the boat is

The workdone is mathematically represented as

Note: Generally

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