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hereamp;#39;s an application of dot product work done a father pulls a child in a sledge with a 150 newton force at an angle of 30 degrees to the ground how much work is done over a two kilometer walk letamp;#39;s say that is the ground right and this is the sledge kind of thing okay father is pulling at an angle of 30 degrees to the ground so letamp;#39;s say that is 30 degrees to the ground so what we are saying here is that the angle is 30 degrees now work done is in the horizontal direction so we have to take the component force which is along the ground that is kind of important and that is the reason why when we do work done we have the formula as work done w is equals to force dot distance right force dot distance letamp;#39;s say d right so weamp;#39;ll say work done equals to force dot distance so if work done is w forces f and d is the distance then work done is forced off distance force dose distance means magnitude of force times magnitude of distance moved time cosine