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Physics / University Physics 13 / Chapter 6 / Problem 6E

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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Two tugboats pull a disabled supertanker. Each tug exerts

Chapter 3, Problem 6E

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QUESTION:

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:

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. 0 The two forces acting at an angle of 14 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, 2 2 R = F 1 + F 2 + 2F 1 c2s Where is the angle between two vectors. = 180 (14 + 14) = 180 28 = 152 . So, 6 2 6 2 6 2 0 R = (1.80 × 10 ) + (1.80 × 10 ) + 2 × (1.80 × 10 ) cos 152 = .48 × 10 5.72 × 10 12 6 = 871780 = 0.871 × 10 N This is the magnitude of the resultant vector.

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