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Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.

ID: 1518338 • Letter: T

Question

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.1 Times 10^6 N, one an angle 16 degree west of north and the other an angle 16 degree east of north, as they pull the tanker a distance 0.69 km toward the north. What is the total work they do on the supertanker? Express your answer using two significant figures. (Figure 1) The figure represents a multiflash photograph of a ball being shot straight up by a spring. The spring, with the ball atop, was initially compressed to the point marked Ybot and released. The point marked Y_0 is the point where the ball would remain at rest if it were placed gently on the spring, and the ball Indicate whether the following statements are true or false. Assume that air resistance is negligible. The speed of the ball was greatest at point Y_0 when it was still in contact with the spring. The speed of the ball was decreasing on its way from point Y_0 to point y_top. The speed of the ball was zero at point y_top. The speed of the ball was the same for all points in its motion between points Y_0 and y_top. Enter t for true or f for false for each statement. Separate your responses with commas (e.g., t,f,f,t). Consider the kinetic energy of the ball. At what point or points is the ball's kinetic energy greatest? Y_bot only Y_0 only ytop only Y_bot and Y_0 Y_0 and Y_top Y_top and Y_bot Y_bot and Y_0 and Y_top

Explanation / Answer

1.solution

Find the force that one of the tugboats exerts;
2.10 x 10^6cos16
=2018649N
This number is the same for both of them.

W=Fs
2018649x (0.69x1000)
= 1.39x10^9 J each.

Therefore total work = 2 x (1.39x10^9)
= 2.78 x 10^9 J

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