Question

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 2.20×10^6 N , one at an angle 11.0 ∘ west of north, and the other at an angle 11.0 ∘ east of north, as they pull the tanker a distance 0.660 km toward the north. What is the total work done by the two tugboats on the supertankers?

Answer 1

Answer:

$W_{total} =2.84 \times 10^8 J$

Explanation:

given

tug exerts a constant force = $2.20 \times10^6 N$  

two angles are also given as shown in figure

$\phi _{1} = \phi _{2}= 11^0$

from figure

$W_{total} =f_{tug 1}scos\phi_{1}+f_{tug 2}s cos\phi_{2}$

$W_{total}= 2f_{tug}Scos\phi\\W_{total}= 2\times 2.20\times10^6\times 0.66\times cos11^0\\W_{total }= 2.84 \times 10^8 J$