Intro to Calculating Work Video Lessons

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Problem: Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.90×106 N, one at an angle 19.0 west of north, and the other at an angle 19.0 east of north, as they pull the tanker a distance 0.870 km toward the north.What is the total work done by the two tugboats on the supertanker?Express your answer in joules, to three significant figures.

FREE Expert Solution

Work done by a constant force:

W=F·d

Let the positive y-axis point to the north and positive x-axis to the east.

Both angles are measured from the y-axis.

Fy = Fcosθ

Fx = Fsinθ

The x-component point in opposite directions.

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Problem Details

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.90×106 N, one at an angle 19.0 west of north, and the other at an angle 19.0 east of north, as they pull the tanker a distance 0.870 km toward the north.

What is the total work done by the two tugboats on the supertanker?

Express your answer in joules, to three significant figures.

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