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

`W_(total) =2.84 * 10^8 J`

Step-by-step explanation:

given

tug exerts a constant force =
`2.20 *10^6 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* 2.20*10^6* 0.66* cos11^0\\W_(total )= 2.84 * 10^8 J`