Work done by a constant force:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{F}}{\mathbf{\xb7}}{\mathbf{d}}}$

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

Both angles are measured from the y-axis.

F_{y} = Fcosθ

F_{x} = Fsinθ

The x-component point in opposite directions.

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.90×10^{6} 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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