If it takes time t₁ for the tugboat of mass m_t to increase its speed uniformly to v₁ 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.

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Units Used: Mg = 1000 kg KN = 10³ N Given: t1 = 35 s m₁ = 50 Mg km hr V1 = 25 mb = 75 Mg