C) 2of Problem 15.21 It takes 40 s for the 58-Mg tugboat to increase its speed u

Question

C) 2of Problem 15.21 It takes 40 s for the 58-Mg tugboat to increase its speed uniformly to 25 km/h, starting from rest The propeller provides the propulsion force F which gives the tugboat forward motion, whereas the barge moves freely. The barge has a mass of 74 Mg Figure 1) PartA Determine the force of the rope on the tugboat Express your answer to three significant figures and include the appropriate units T Value Units Submit Part B Also, determine Facting on the tugboat. Express your answer to three significant figures and include the appropriate units. Figure tps//session

Explanation / Answer

(A) v = 25 x 1000 m / 3600s = 6.94 m/s

applying vf = vi + at

6.94 = 0 + 40a

a = 0.174 m/s^2

on tugboat,

T = m a = (58 x 10^3 kg) (0.174 m/s^2)

T = 10.1 x 10^3 N ....Ans

(B) on propeller,

F - T = m a

F - 10.1 x 10^3 = (74 x 10^3 )(0.174)

F = 23 x 10^3 N ....Ans

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