Answer: Two tugboats pull a disabled supertanker. Each tug

Chapter 6, Problem 6E

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QUESTION:

Problem 6E

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.80 X 106 N, one 14o west of north and the other 14o east of north, as they pull the tanker 0.75 km toward the north. What is the total work they do on the supertanker?

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QUESTION:

Problem 6E

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.80 X 106 N, one 14o west of north and the other 14o east of north, as they pull the tanker 0.75 km toward the north. What is the total work they do on the supertanker?

ANSWER:

Solution 6E

Step 1:

The diagram below show the forces acting.

           

The two forces acting at an angle of with the horizontal but in the opposite direction.

So, the resultant will be in the direction of north.

The magnitude of the resultant will be,

               

Where is the angle between two vectors.

      .

So,

       

           

           

This is the magnitude of the resultant vector.

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