Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.60×106 N, one at an angle 13.0 west of north, and the other at an angle 13.0 east of north, as they pull the tanker a distance 0.700 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.

Respuesta :

Answer:[tex]W=1.93\times 10^9 J[/tex]      

Explanation:

Given

Force [tex]F=1.6\times 10^{6} N[/tex]

one at an angle of [tex]13^{\circ}[/tex] East of North and another at [tex]13^{\circ}[/tex] West of North

Net Force is in North Direction

[tex]F_{net}=2F\cos 13[/tex]

Forces in horizontal direction will cancel out each other

thus Work done will be by north direction forces  

[tex]W=2F\cdot \cos 30\cdot s[/tex]

here [tex]s=0.7 km[/tex]

[tex]W=2\times 1.6\times 10^{6}\cdot \cos 30\cdot 700[/tex]

[tex]W=1.93\times 10^9 J[/tex]                  

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