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If it takes time { t }_{ 1 } for the tugboat of mass { m }_{ t } to increase its speed uniformly to { v }_{ 1 } starting from rest, determine the force of the rope on the tugboat. The propeller provides the propulsion force F which gives the tugboat forward motion, whereas the barge moves freely. Also, determine the force F acting on the tugboat. The barge has mass of { m }_{ b } . Units Used: Mg = 1000 kg , kN = { 10 }^{ 3 } N Given: { t }_{ 1 } = 35 s , { m }_{ t } = 50 Mg , { v }_{ 1 } = 25 km/hr , { m }_{ b } = 75 Mg

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